Token

Contract Source Code (Solidity Standard Json-Input format)

IDE

• Blockscan IDE
• 🤖 Code ReaderBeta
• Remix IDE

More Options

• Similar
• Sol2Uml
• Submit Audit
• Compare

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

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

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

pragma solidity ^0.7.0;

// solhint-disable

/**
 * @dev Reverts if `condition` is false, with a revert reason containing `errorCode`. Only codes up to 999 are
 * supported.
 */
function _require(bool condition, uint256 errorCode) pure {
    if (!condition) _revert(errorCode);
}

/**
 * @dev Reverts with a revert reason containing `errorCode`. Only codes up to 999 are supported.
 */
function _revert(uint256 errorCode) pure {
    // We're going to dynamically create a revert string based on the error code, with the following format:
    // 'BAL#{errorCode}'
    // where the code is left-padded with zeroes to three digits (so they range from 000 to 999).
    //
    // We don't have revert strings embedded in the contract to save bytecode size: it takes much less space to store a
    // number (8 to 16 bits) than the individual string characters.
    //
    // The dynamic string creation algorithm that follows could be implemented in Solidity, but assembly allows for a
    // much denser implementation, again saving bytecode size. Given this function unconditionally reverts, this is a
    // safe place to rely on it without worrying about how its usage might affect e.g. memory contents.
    assembly {
        // First, we need to compute the ASCII representation of the error code. We assume that it is in the 0-999
        // range, so we only need to convert three digits. To convert the digits to ASCII, we add 0x30, the value for
        // the '0' character.

        let units := add(mod(errorCode, 10), 0x30)

        errorCode := div(errorCode, 10)
        let tenths := add(mod(errorCode, 10), 0x30)

        errorCode := div(errorCode, 10)
        let hundreds := add(mod(errorCode, 10), 0x30)

        // With the individual characters, we can now construct the full string. The "BAL#" part is a known constant
        // (0x42414c23): we simply shift this by 24 (to provide space for the 3 bytes of the error code), and add the
        // characters to it, each shifted by a multiple of 8.
        // The revert reason is then shifted left by 200 bits (256 minus the length of the string, 7 characters * 8 bits
        // per character = 56) to locate it in the most significant part of the 256 slot (the beginning of a byte
        // array).

        let revertReason := shl(200, add(0x42414c23000000, add(add(units, shl(8, tenths)), shl(16, hundreds))))

        // We can now encode the reason in memory, which can be safely overwritten as we're about to revert. The encoded
        // message will have the following layout:
        // [ revert reason identifier ] [ string location offset ] [ string length ] [ string contents ]

        // The Solidity revert reason identifier is 0x08c739a0, the function selector of the Error(string) function. We
        // also write zeroes to the next 28 bytes of memory, but those are about to be overwritten.
        mstore(0x0, 0x08c379a000000000000000000000000000000000000000000000000000000000)
        // Next is the offset to the location of the string, which will be placed immediately after (20 bytes away).
        mstore(0x04, 0x0000000000000000000000000000000000000000000000000000000000000020)
        // The string length is fixed: 7 characters.
        mstore(0x24, 7)
        // Finally, the string itself is stored.
        mstore(0x44, revertReason)

        // Even if the string is only 7 bytes long, we need to return a full 32 byte slot containing it. The length of
        // the encoded message is therefore 4 + 32 + 32 + 32 = 100.
        revert(0, 100)
    }
}

library Errors {
    // Math
    uint256 internal constant ADD_OVERFLOW = 0;
    uint256 internal constant SUB_OVERFLOW = 1;
    uint256 internal constant SUB_UNDERFLOW = 2;
    uint256 internal constant MUL_OVERFLOW = 3;
    uint256 internal constant ZERO_DIVISION = 4;
    uint256 internal constant DIV_INTERNAL = 5;
    uint256 internal constant X_OUT_OF_BOUNDS = 6;
    uint256 internal constant Y_OUT_OF_BOUNDS = 7;
    uint256 internal constant PRODUCT_OUT_OF_BOUNDS = 8;
    uint256 internal constant INVALID_EXPONENT = 9;

    // Input
    uint256 internal constant OUT_OF_BOUNDS = 100;
    uint256 internal constant UNSORTED_ARRAY = 101;
    uint256 internal constant UNSORTED_TOKENS = 102;
    uint256 internal constant INPUT_LENGTH_MISMATCH = 103;
    uint256 internal constant ZERO_TOKEN = 104;

    // Shared pools
    uint256 internal constant MIN_TOKENS = 200;
    uint256 internal constant MAX_TOKENS = 201;
    uint256 internal constant MAX_SWAP_FEE_PERCENTAGE = 202;
    uint256 internal constant MIN_SWAP_FEE_PERCENTAGE = 203;
    uint256 internal constant MINIMUM_BPT = 204;
    uint256 internal constant CALLER_NOT_VAULT = 205;
    uint256 internal constant UNINITIALIZED = 206;
    uint256 internal constant BPT_IN_MAX_AMOUNT = 207;
    uint256 internal constant BPT_OUT_MIN_AMOUNT = 208;
    uint256 internal constant EXPIRED_PERMIT = 209;
    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 UNAUTHORIZED_OPERATION = 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;

    // 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;

    // 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;
}

// 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: 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)
    // The invariant should be rounded up.
    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)
    // The invariant should be rounded up.
    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 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);
        }

        // Get current and new invariants, taking swap fees into account
        uint256 currentInvariant = _calculateInvariant(amp, balances);
        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 swapFeePercentage
    ) internal pure returns (uint256) {
        // Token in, so we round up overall.

        // Get the current invariant
        uint256 currentInvariant = _calculateInvariant(amp, balances);

        // Calculate new invariant
        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 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);
        }

        // Get current and new invariants, taking into account swap fees
        uint256 currentInvariant = _calculateInvariant(amp, balances);
        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 swapFeePercentage
    ) internal pure returns (uint256) {
        // Token out, so we round down overall.

        // Get the current and new invariants.
        uint256 currentInvariant = _calculateInvariant(amp, balances);
        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));
    }

    function _calcTokensOutGivenExactBptIn(
        uint256[] memory balances,
        uint256 bptAmountIn,
        uint256 bptTotalSupply
    ) internal pure returns (uint256[] memory) {
        /**********************************************************************************************
        // 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(bptTotalSupply);

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

        return amountsOut;
    }

    // The amplification parameter equals: A n^(n-1)
    function _calcDueTokenProtocolSwapFeeAmount(
        uint256 amplificationParameter,
        uint256[] memory balances,
        uint256 lastInvariant,
        uint256 tokenIndex,
        uint256 protocolSwapFeePercentage
    ) internal pure returns (uint256) {
        /**************************************************************************************************************
        // oneTokenSwapFee - polynomial equation to solve                                                            //
        // af = fee amount to calculate in one token                                                                 //
        // bf = balance of fee token                                                                                 //
        // f = bf - af (finalBalanceFeeToken)                                                                        //
        // D = old invariant                                            D                     D^(n+1)                //
        // A = amplification coefficient               f^2 + ( S - ----------  - D) * f -  ------------- = 0         //
        // n = number of tokens                                    (A * n^n)               A * n^2n * P              //
        // S = sum of final balances but f                                                                           //
        // P = product of final balances but f                                                                       //
        **************************************************************************************************************/

        // Protocol swap fee amount, so we round down overall.

        uint256 finalBalanceFeeToken = _getTokenBalanceGivenInvariantAndAllOtherBalances(
            amplificationParameter,
            balances,
            lastInvariant,
            tokenIndex
        );

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

        // Result is rounded down
        uint256 accumulatedTokenSwapFees = balances[tokenIndex] - finalBalanceFeeToken;
        return accumulatedTokenSwapFees.mulDown(protocolSwapFeePercentage);
    }

    // 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);
    }

    function _getRate(
        uint256[] memory balances,
        uint256 amp,
        uint256 supply
    ) internal pure returns (uint256) {
        // When calculating the current BPT rate, we may not have paid the protocol fees, therefore
        // the invariant should be smaller than its current value. Then, we round down overall.
        uint256 invariant = _calculateInvariant(amp, balances);
        return invariant.divDown(supply);
    }
}

// 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;

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;
pragma experimental ABIEncoderV2;

import "@balancer-labs/v2-interfaces/contracts/pool-stable/StablePoolUserData.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/helpers/InputHelpers.sol";
import "@balancer-labs/v2-solidity-utils/contracts/helpers/WordCodec.sol";

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

import "./StableMath.sol";

/**
 * @notice Pool designed to hold tokens of similar value.
 * @dev Stable Pools are designed specifically for assets that are expected to consistently trade at near parity,
 * such as different varieties of stablecoins or synthetics. Stable Pools use Stable Math (based on StableSwap,
 * popularized by Curve) which allows for significantly larger trades before encountering substantial price impact,
 * vastly increasing capital efficiency for like-kind swaps.
 */
contract StablePool is BaseGeneralPool, LegacyBaseMinimalSwapInfoPool, IRateProvider {
    using WordCodec for bytes32;
    using FixedPoint for uint256;
    using StablePoolUserData for bytes;

    // 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;

    bytes32 private _packedAmplificationData;

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

    uint256 private immutable _totalTokens;

    IERC20 internal immutable _token0;
    IERC20 internal immutable _token1;
    IERC20 internal immutable _token2;
    IERC20 internal immutable _token3;
    IERC20 internal immutable _token4;

    // 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;

    // To track how many tokens are owed to the Vault as 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.
    uint256 internal _lastInvariant;

    // 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 it whenever we store
    // _lastInvariant.
    uint256 internal _lastInvariantAmp;

    constructor(
        IVault vault,
        string memory name,
        string memory symbol,
        IERC20[] memory tokens,
        uint256 amplificationParameter,
        uint256 swapFeePercentage,
        uint256 pauseWindowDuration,
        uint256 bufferPeriodDuration,
        address owner
    )
        LegacyBasePool(
            vault,
            // Because we're inheriting from both BaseGeneralPool and LegacyBaseMinimalSwapInfoPool we can choose any
            // specialization setting. Since this Pool never registers or deregisters any tokens after construction,
            // picking Two Token when the Pool only has two tokens is free gas savings.
            tokens.length == 2 ? IVault.PoolSpecialization.TWO_TOKEN : IVault.PoolSpecialization.GENERAL,
            name,
            symbol,
            tokens,
            new address[](tokens.length),
            swapFeePercentage,
            pauseWindowDuration,
            bufferPeriodDuration,
            owner
        )
    {
        _require(amplificationParameter >= StableMath._MIN_AMP, Errors.MIN_AMP);
        _require(amplificationParameter <= StableMath._MAX_AMP, Errors.MAX_AMP);

        uint256 totalTokens = tokens.length;
        _totalTokens = totalTokens;

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

        _scalingFactor0 = _computeScalingFactor(tokens[0]);
        _scalingFactor1 = _computeScalingFactor(tokens[1]);
        _scalingFactor2 = totalTokens > 2 ? _computeScalingFactor(tokens[2]) : 0;
        _scalingFactor3 = totalTokens > 3 ? _computeScalingFactor(tokens[3]) : 0;
        _scalingFactor4 = totalTokens > 4 ? _computeScalingFactor(tokens[4]) : 0;

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

    function getLastInvariant() external view returns (uint256 lastInvariant, uint256 lastInvariantAmp) {
        lastInvariant = _lastInvariant;
        lastInvariantAmp = _lastInvariantAmp;
    }

    // Base Pool handlers

    // Swap - General Pool specialization (from BaseGeneralPool)

    function _onSwapGivenIn(
        SwapRequest memory swapRequest,
        uint256[] memory balances,
        uint256 indexIn,
        uint256 indexOut
    ) internal virtual override whenNotPaused returns (uint256) {
        (uint256 currentAmp, ) = _getAmplificationParameter();

        uint256 invariant = StableMath._calculateInvariant(currentAmp, balances);
        uint256 amountOut = StableMath._calcOutGivenIn(
            currentAmp,
            balances,
            indexIn,
            indexOut,
            swapRequest.amount,
            invariant
        );

        return amountOut;
    }

    function _onSwapGivenOut(
        SwapRequest memory swapRequest,
        uint256[] memory balances,
        uint256 indexIn,
        uint256 indexOut
    ) internal virtual override whenNotPaused returns (uint256) {
        (uint256 currentAmp, ) = _getAmplificationParameter();

        uint256 invariant = StableMath._calculateInvariant(currentAmp, balances);
        uint256 amountIn = StableMath._calcInGivenOut(
            currentAmp,
            balances,
            indexIn,
            indexOut,
            swapRequest.amount,
            invariant
        );

        return amountIn;
    }

    // Swap - Two Token Pool specialization (from LegacyBaseMinimalSwapInfoPool)

    function _onSwapGivenIn(
        SwapRequest memory swapRequest,
        uint256 balanceTokenIn,
        uint256 balanceTokenOut
    ) internal virtual override returns (uint256) {
        _require(_getTotalTokens() == 2, Errors.NOT_TWO_TOKENS);

        (uint256[] memory balances, uint256 indexIn, uint256 indexOut) = _getSwapBalanceArrays(
            swapRequest,
            balanceTokenIn,
            balanceTokenOut
        );

        return _onSwapGivenIn(swapRequest, balances, indexIn, indexOut);
    }

    function _onSwapGivenOut(
        SwapRequest memory swapRequest,
        uint256 balanceTokenIn,
        uint256 balanceTokenOut
    ) internal virtual override returns (uint256) {
        _require(_getTotalTokens() == 2, Errors.NOT_TWO_TOKENS);

        (uint256[] memory balances, uint256 indexIn, uint256 indexOut) = _getSwapBalanceArrays(
            swapRequest,
            balanceTokenIn,
            balanceTokenOut
        );
        return _onSwapGivenOut(swapRequest, balances, indexIn, indexOut);
    }

    function _getSwapBalanceArrays(
        SwapRequest memory swapRequest,
        uint256 balanceTokenIn,
        uint256 balanceTokenOut
    )
        private
        view
        returns (
            uint256[] memory balances,
            uint256 indexIn,
            uint256 indexOut
        )
    {
        balances = new uint256[](2);

        if (_isToken0(swapRequest.tokenIn)) {
            indexIn = 0;
            indexOut = 1;

            balances[0] = balanceTokenIn;
            balances[1] = balanceTokenOut;
        } else {
            // _token0 == swapRequest.tokenOut
            indexOut = 0;
            indexIn = 1;

            balances[0] = balanceTokenOut;
            balances[1] = balanceTokenIn;
        }
    }

    // Initialize

    function _onInitializePool(
        bytes32,
        address,
        address,
        uint256[] memory scalingFactors,
        bytes memory userData
    ) internal virtual override returns (uint256, uint256[] memory) {
        StablePoolUserData.JoinKind kind = userData.joinKind();
        _require(kind == StablePoolUserData.JoinKind.INIT, Errors.UNINITIALIZED);

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

        (uint256 currentAmp, ) = _getAmplificationParameter();
        uint256 invariantAfterJoin = StableMath._calculateInvariant(currentAmp, amountsIn);

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

        _updateLastInvariant(invariantAfterJoin, currentAmp);

        return (bptAmountOut, amountsIn);
    }

    // Join

    function _onJoinPool(
        bytes32,
        address,
        address,
        uint256[] memory balances,
        uint256,
        uint256 protocolSwapFeePercentage,
        uint256[] memory scalingFactors,
        bytes memory userData
    )
        internal
        virtual
        override
        returns (
            uint256,
            uint256[] memory,
            uint256[] memory
        )
    {
        // Due protocol swap fee amounts are computed by measuring the growth of the invariant between the previous join
        // or exit event and now - the invariant's growth is due exclusively to swap fees. This avoids spending gas to
        // calculate the fee amounts during each individual swap.
        uint256[] memory dueProtocolFeeAmounts = _getDueProtocolFeeAmounts(balances, protocolSwapFeePercentage);

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

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

        return (bptAmountOut, amountsIn, dueProtocolFeeAmounts);
    }

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

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

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

        _upscaleArray(amountsIn, scalingFactors);

        (uint256 currentAmp, ) = _getAmplificationParameter();
        uint256 bptAmountOut = StableMath._calcBptOutGivenExactTokensIn(
            currentAmp,
            balances,
            amountsIn,
            totalSupply(),
            getSwapFeePercentage()
        );

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

        return (bptAmountOut, amountsIn);
    }

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

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

        uint256[] memory amountsIn = new uint256[](_getTotalTokens());
        (uint256 currentAmp, ) = _getAmplificationParameter();
        amountsIn[tokenIndex] = StableMath._calcTokenInGivenExactBptOut(
            currentAmp,
            balances,
            tokenIndex,
            bptAmountOut,
            totalSupply(),
            getSwapFeePercentage()
        );

        return (bptAmountOut, amountsIn);
    }

    // Exit

    function _onExitPool(
        bytes32,
        address,
        address,
        uint256[] memory balances,
        uint256,
        uint256 protocolSwapFeePercentage,
        uint256[] memory scalingFactors,
        bytes memory userData
    )
        internal
        virtual
        override
        returns (
            uint256 bptAmountIn,
            uint256[] memory amountsOut,
            uint256[] memory dueProtocolFeeAmounts
        )
    {
        // Due protocol swap fee amounts are computed by measuring the growth of the invariant between the previous
        // join or exit event and now - the invariant's growth is due exclusively to swap fees. This avoids
        // spending gas calculating fee amounts during each individual swap
        dueProtocolFeeAmounts = _getDueProtocolFeeAmounts(balances, protocolSwapFeePercentage);

        // Update current balances by subtracting the protocol fee amounts
        _mutateAmounts(balances, dueProtocolFeeAmounts, FixedPoint.sub);

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

        // Update the invariant with the balances the Pool will have after the exit, in order to compute the
        // protocol swap fee amounts due in future joins and exits.
        // Note that this is not done on recovery mode exits, but that is fine as the pool pays no protocol
        // fees anyway while recovery mode is active.
        _updateInvariantAfterExit(balances, amountsOut);

        return (bptAmountIn, amountsOut, dueProtocolFeeAmounts);
    }

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

        if (kind == StablePoolUserData.ExitKind.EXACT_BPT_IN_FOR_ONE_TOKEN_OUT) {
            return _exitExactBPTInForTokenOut(balances, userData);
        } else if (kind == StablePoolUserData.ExitKind.EXACT_BPT_IN_FOR_TOKENS_OUT) {
            return _exitExactBPTInForTokensOut(balances, userData);
        } else if (kind == StablePoolUserData.ExitKind.BPT_IN_FOR_EXACT_TOKENS_OUT) {
            return _exitBPTInForExactTokensOut(balances, scalingFactors, userData);
        } else {
            _revert(Errors.UNHANDLED_EXIT_KIND);
        }
    }

    function _exitExactBPTInForTokenOut(uint256[] memory balances, bytes memory userData)
        private
        view
        returns (uint256, uint256[] memory)
    {
        (uint256 bptAmountIn, uint256 tokenIndex) = userData.exactBptInForTokenOut();
        // Note that there is no minimum amountOut parameter: this is handled by `IVault.exitPool`.

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

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

        // And then assign the result to the selected token
        (uint256 currentAmp, ) = _getAmplificationParameter();
        amountsOut[tokenIndex] = StableMath._calcTokenOutGivenExactBptIn(
            currentAmp,
            balances,
            tokenIndex,
            bptAmountIn,
            totalSupply(),
            getSwapFeePercentage()
        );

        return (bptAmountIn, amountsOut);
    }

    function _exitExactBPTInForTokensOut(uint256[] memory balances, bytes memory userData)
        private
        view
        returns (uint256, uint256[] memory)
    {
        uint256 bptAmountIn = userData.exactBptInForTokensOut();
        // Note that there is no minimum amountOut parameter: this is handled by `IVault.exitPool`.

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

    function _exitBPTInForExactTokensOut(
        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, _getTotalTokens());
        _upscaleArray(amountsOut, scalingFactors);

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

        return (bptAmountIn, amountsOut);
    }

    function _setRecoveryMode(bool enabled) internal virtual override {
        super._setRecoveryMode(enabled);

        // Enabling recovery mode disables payment of protocol fees, forfeiting any fees accumulated between
        // the last join or exit before activating recovery mode, and it being disabled.
        // We therefore reset the 'last invariant' when disabling recovery mode (something that is otherwise only done
        // after joins and exits) to clear any outstanding fees, as if a join or exit had just taken place
        // and fees had been paid out.
        if (!enabled) {
            (, uint256[] memory balances, ) = getVault().getPoolTokens(getPoolId());
            _upscaleArray(balances, _scalingFactors());
            (uint256 currentAmp, ) = _getAmplificationParameter();

            _updateLastInvariant(StableMath._calculateInvariant(currentAmp, balances), currentAmp);
        }
    }

    // Helpers

    /**
     * @dev Stores the last measured invariant, and the amplification parameter used to compute it.
     */
    function _updateLastInvariant(uint256 invariant, uint256 amplificationParameter) internal {
        _lastInvariant = invariant;
        _lastInvariantAmp = amplificationParameter;
    }

    /**
     * @dev Returns the amount of protocol fees to pay, given the value of the last stored invariant and the current
     * balances.
     */
    function _getDueProtocolFeeAmounts(uint256[] memory balances, uint256 protocolSwapFeePercentage)
        private
        view
        returns (uint256[] memory)
    {
        // Initialize with zeros
        uint256[] memory dueProtocolFeeAmounts = new uint256[](_getTotalTokens());

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

        // Instead of paying the protocol swap fee in all tokens proportionally, we will pay it in a single one. This
        // will reduce gas costs for single asset joins and exits, as at most only two Pool balances will change (the
        // token joined/exited, and the token in which fees will be paid).

        // The protocol fee is charged using the token with the highest balance in the pool.
        uint256 chosenTokenIndex = 0;
        uint256 maxBalance = balances[0];
        for (uint256 i = 1; i < _getTotalTokens(); ++i) {
            uint256 currentBalance = balances[i];
            if (currentBalance > maxBalance) {
                chosenTokenIndex = i;
                maxBalance = currentBalance;
            }
        }

        // Set the fee amount to pay in the selected token
        dueProtocolFeeAmounts[chosenTokenIndex] = StableMath._calcDueTokenProtocolSwapFeeAmount(
            _lastInvariantAmp,
            balances,
            _lastInvariant,
            chosenTokenIndex,
            protocolSwapFeePercentage
        );

        return dueProtocolFeeAmounts;
    }

    /**
     * @dev Computes and stores the value of the invariant after a join, which is required to compute due protocol fees
     * in the future.
     */
    function _updateInvariantAfterJoin(uint256[] memory balances, uint256[] memory amountsIn) private {
        _mutateAmounts(balances, amountsIn, FixedPoint.add);

        (uint256 currentAmp, ) = _getAmplificationParameter();
        // This invariant is used only to compute the final balance when calculating the protocol fees. These are
        // rounded down, so we round the invariant up.
        _updateLastInvariant(StableMath._calculateInvariant(currentAmp, balances), currentAmp);
    }

    /**
     * @dev Computes and stores the value of the invariant after an exit, which is required to compute due protocol fees
     * in the future.
     */
    function _updateInvariantAfterExit(uint256[] memory balances, uint256[] memory amountsOut) private {
        _mutateAmounts(balances, amountsOut, FixedPoint.sub);

        (uint256 currentAmp, ) = _getAmplificationParameter();
        // This invariant is used only to compute the final balance when calculating the protocol fees. These are
        // rounded down, so we round the invariant up.
        _updateLastInvariant(StableMath._calculateInvariant(currentAmp, balances), currentAmp);
    }

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

    /**
     * @dev This function returns the appreciation of one BPT relative to the
     * underlying tokens. This starts at 1 when the pool is created and grows over time
     */
    function getRate() public view virtual override returns (uint256) {
        (, uint256[] memory balances, ) = getVault().getPoolTokens(getPoolId());
        _upscaleArray(balances, _scalingFactors());

        (uint256 currentAmp, ) = _getAmplificationParameter();

        return StableMath._getRate(balances, currentAmp, totalSupply());
    }

    // Amplification

    /**
     * @dev Begins 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 _isOwnerOnlyAction(bytes32 actionId) internal view virtual override returns (bool) {
        return
            (actionId == getActionId(StablePool.startAmplificationParameterUpdate.selector)) ||
            (actionId == getActionId(StablePool.stopAmplificationParameterUpdate.selector)) ||
            super._isOwnerOnlyAction(actionId);
    }

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

    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;
        }
    }

    function _getMaxTokens() internal pure override returns (uint256) {
        return StableMath._MAX_STABLE_TOKENS;
    }

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

    function _scalingFactor(IERC20 token) internal view virtual override returns (uint256) {
        // prettier-ignore
        if (_isToken0(token)) { return _getScalingFactor0(); }
        else if (_isToken1(token)) { return _getScalingFactor1(); }
        else if (token == _token2) { return _getScalingFactor2(); }
        else if (token == _token3) { return _getScalingFactor3(); }
        else if (token == _token4) { return _getScalingFactor4(); }
        else {
            _revert(Errors.INVALID_TOKEN);
        }
    }

    function _scalingFactors() internal view virtual override returns (uint256[] memory) {
        uint256 totalTokens = _getTotalTokens();
        uint256[] memory scalingFactors = new uint256[](totalTokens);

        // prettier-ignore
        {
            scalingFactors[0] = _getScalingFactor0();
            scalingFactors[1] = _getScalingFactor1();
            if (totalTokens > 2) { scalingFactors[2] = _getScalingFactor2(); } else { return scalingFactors; }
            if (totalTokens > 3) { scalingFactors[3] = _getScalingFactor3(); } else { return scalingFactors; }
            if (totalTokens > 4) { scalingFactors[4] = _getScalingFactor4(); } else { return scalingFactors; }
        }

        return scalingFactors;
    }

    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, 0, 64) |
            WordCodec.encodeUint(endValue, 64, 64) |
            WordCodec.encodeUint(startTime, 64 * 2, 64) |
            WordCodec.encodeUint(endTime, 64 * 3, 64);
    }

    function _getAmplificationData()
        private
        view
        returns (
            uint256 startValue,
            uint256 endValue,
            uint256 startTime,
            uint256 endTime
        )
    {
        startValue = _packedAmplificationData.decodeUint(0, 64);
        endValue = _packedAmplificationData.decodeUint(64, 64);
        startTime = _packedAmplificationData.decodeUint(64 * 2, 64);
        endTime = _packedAmplificationData.decodeUint(64 * 3, 64);
    }

    function _isToken0(IERC20 token) internal view returns (bool) {
        return token == _token0;
    }

    function _isToken1(IERC20 token) internal view returns (bool) {
        return token == _token1;
    }

    function _getScalingFactor0() internal view returns (uint256) {
        return _scalingFactor0;
    }

    function _getScalingFactor1() internal view returns (uint256) {
        return _scalingFactor1;
    }

    function _getScalingFactor2() internal view returns (uint256) {
        return _scalingFactor2;
    }

    function _getScalingFactor3() internal view returns (uint256) {
        return _scalingFactor3;
    }

    function _getScalingFactor4() internal view returns (uint256) {
        return _scalingFactor4;
    }
}

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

library StablePoolUserData {
    // In order to preserve backwards compatibility, make sure new join and exit kinds are added at the end of the enum.
    enum JoinKind { INIT, EXACT_TOKENS_IN_FOR_BPT_OUT, TOKEN_IN_FOR_EXACT_BPT_OUT }
    enum ExitKind { EXACT_BPT_IN_FOR_ONE_TOKEN_OUT, EXACT_BPT_IN_FOR_TOKENS_OUT, BPT_IN_FOR_EXACT_TOKENS_OUT }

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

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 "./LegacyBasePool.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, LegacyBasePool {
    // Swap Hooks

    function onSwap(
        SwapRequest memory swapRequest,
        uint256[] memory balances,
        uint256 indexIn,
        uint256 indexOut
    ) public virtual override onlyVault(swapRequest.poolId) returns (uint256) {
        _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 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 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;
pragma experimental ABIEncoderV2;

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

import "./LegacyBasePool.sol";

/**
 * @dev Extension of `BasePool`, adding a handler for `IMinimalSwapInfoPool.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 Two Token or Minimal
 * Swap Info specialization settings.
 */
abstract contract LegacyBaseMinimalSwapInfoPool is IMinimalSwapInfoPool, LegacyBasePool {
    // Swap Hooks

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

        if (request.kind == IVault.SwapKind.GIVEN_IN) {
            // Fees are subtracted before scaling, to reduce the complexity of the rounding direction analysis.
            uint256 amountInMinusSwapFees = _subtractSwapFeeAmount(request.amount);

            // Process the (upscaled!) swap fee.
            uint256 swapFee = request.amount - amountInMinusSwapFees;
            _processSwapFeeAmount(request.tokenIn, _upscale(swapFee, scalingFactorTokenIn));

            request.amount = amountInMinusSwapFees;

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

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

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

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

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

            // Fees are added after scaling happens, to reduce the complexity of the rounding direction analysis.
            uint256 amountInPlusSwapFees = _addSwapFeeAmount(amountIn);

            // Process the (upscaled!) swap fee.
            uint256 swapFee = amountInPlusSwapFees - amountIn;
            _processSwapFeeAmount(request.tokenIn, _upscale(swapFee, scalingFactorTokenIn));

            return amountInPlusSwapFees;
        }
    }

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

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

    /**
     * @dev Called whenever a swap fee is charged. Implementations should call their parents via super, to ensure all
     * implementations in the inheritance tree are called.
     *
     * Callers must call one of the three `_processSwapFeeAmount` functions when swap fees are computed,
     * and upscale `amount`.
     */
    function _processSwapFeeAmount(
        uint256, /*index*/
        uint256 /*amount*/
    ) internal virtual {
        // solhint-disable-previous-line no-empty-blocks
    }

    function _processSwapFeeAmount(IERC20 token, uint256 amount) internal {
        _processSwapFeeAmount(_tokenAddressToIndex(token), amount);
    }

    function _processSwapFeeAmounts(uint256[] memory amounts) internal {
        InputHelpers.ensureInputLengthMatch(amounts.length, _getTotalTokens());

        for (uint256 i = 0; i < _getTotalTokens(); ++i) {
            _processSwapFeeAmount(i, amounts[i]);
        }
    }

    /**
     * @dev Returns the index of `token` in the Pool's token array (i.e. the one `vault.getPoolTokens()` would return).
     *
     * A trivial (and incorrect!) implementation is already provided for Pools that don't override
     * `_processSwapFeeAmount` and skip the entire feature. However, Pools that do override `_processSwapFeeAmount`
     * *must* override this function with a meaningful implementation.
     */
    function _tokenAddressToIndex(
        IERC20 /*token*/
    ) internal view virtual returns (uint256) {
        return 0;
    }
}

// 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;
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/asset-manager-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 "./RecoveryMode.sol";

// solhint-disable max-states-count

/**
 * @notice Reference implementation for the base layer of a Pool contract
 * @dev Manages a single Pool with optional Asset Managers, an admin-controlled swap fee percentage, a temporary
 * emergency pause mechanism that disables the pool, and a permanent Recovery Mode option that ensures LPs can
 * always proportionally exit the pool, even if it's in a pathological state.
 *
 * 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 LegacyBasePool is IBasePool, 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

    // Storage slot that can be used to store unrelated pieces of information. In particular, by default is used
    // to store only the swap fee percentage of a pool. But it can be extended to store some more pieces of information.
    // The swap fee percentage is stored in the most-significant 64 bits, therefore the remaining 192 bits can be
    // used to store any other piece of information.
    bytes32 private _miscData;
    uint256 private constant _SWAP_FEE_PERCENTAGE_OFFSET = 192;

    bytes32 private immutable _poolId;

    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;
    }

    // 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 the MSB 64 bits of the `_miscData`.
     */
    function getSwapFeePercentage() public view returns (uint256) {
        return _miscData.decodeUint(_SWAP_FEE_PERCENTAGE_OFFSET, 64);
    }

    /**
     * @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) private {
        _require(swapFeePercentage >= _MIN_SWAP_FEE_PERCENTAGE, Errors.MIN_SWAP_FEE_PERCENTAGE);
        _require(swapFeePercentage <= _MAX_SWAP_FEE_PERCENTAGE, Errors.MAX_SWAP_FEE_PERCENTAGE);

        _miscData = _miscData.insertUint(swapFeePercentage, _SWAP_FEE_PERCENTAGE_OFFSET, 64);
        emit SwapFeePercentageChanged(swapFeePercentage);
    }

    function setAssetManagerPoolConfig(IERC20 token, bytes memory poolConfig)
        public
        virtual
        authenticate
        whenNotPaused
    {
        _setAssetManagerPoolConfig(token, poolConfig);
    }

    /**
     * @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) 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));
    }

    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
    ) public virtual override onlyVault(poolId) returns (uint256[] memory, uint256[] memory) {
        uint256[] memory scalingFactors = _scalingFactors();

        // Joins are unsupported when paused
        // It would be strange for the Pool to be paused before it is initialized, but for consistency we prevent
        // initialization in this case.
        _ensureNotPaused();

        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[](_getTotalTokens()));
        } else {
            _upscaleArray(balances, scalingFactors);
            (uint256 bptAmountOut, uint256[] memory amountsIn, uint256[] memory dueProtocolFeeAmounts) = _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);
            // dueProtocolFeeAmounts are amounts exiting the Pool, so we round down.
            _downscaleDownArray(dueProtocolFeeAmounts, scalingFactors);

            return (amountsIn, dueProtocolFeeAmounts);
        }
    }

    /**
     * @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
    ) public virtual override onlyVault(poolId) returns (uint256[] memory, uint256[] memory) {
        uint256[] memory dueProtocolFeeAmounts;
        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();

            // Protocol fees are skipped when processing recovery mode exits, since these are pool-agnostic and it
            // is therefore impossible to know how many fees are due. For consistency, all regular joins and exits are
            // processed as if the protocol swap fee percentage was zero.
            dueProtocolFeeAmounts = new uint256[](balances.length);

            (bptAmountIn, amountsOut) = _doRecoveryModeExit(balances, totalSupply(), userData);
        } else {
            // Exits are unsupported when paused
            _ensureNotPaused();

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

            // Note we no longer use `balances` after calling `_onExitPool`, which may mutate it.
            (bptAmountIn, amountsOut, dueProtocolFeeAmounts) = _onExitPool(
                poolId,
                sender,
                recipient,
                balances,
                lastChangeBlock,
                inRecoveryMode() ? 0 : protocolSwapFeePercentage, // Protocol fees are disabled while in recovery mode
                scalingFactors,
                userData
            );

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

        _burnPoolTokens(sender, bptAmountIn);

        return (amountsOut, dueProtocolFeeAmounts);
    }

    // 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 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 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,
            uint256[] memory dueProtocolFeeAmounts
        );

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

    /**
     * @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(FixedPoint.ONE.sub(getSwapFeePercentage()));
    }

    /**
     * @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);

    /**
     * @notice Return the set of scaling factors for the pool tokens.
     * @dev Scaling factors are used to convert token balances to and from 18-decimal floating point values.
     * The Vault expects all values to be 18-decimal, yet all I/O is performed in native decimals. So we scale "up"
     * when sending user-supplied balances to the Vault, and scale "down" to return results.
     * For instance, an 18-decimal token has a scaling factor of 1, while a 6-decimal token has a scaling factor of
     * 10^12.
     */
    function getScalingFactors() external view 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 view {
        for (uint256 i = 0; i < _getTotalTokens(); ++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 view {
        for (uint256 i = 0; i < _getTotalTokens(); ++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 view {
        for (uint256 i = 0; i < _getTotalTokens(); ++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, uint256[] memory) _action,
        function(uint256[] memory, uint256[] memory) internal view _downscaleArray
    ) private {
        // This uses the same technique used by the Vault in queryBatchSwap. Refer to that function for a detailed
        // explanation.

        if (msg.sender != address(this)) {
            // We perform an external call to ourselves, forwarding the same calldata. In this call, the else clause of
            // the preceding if statement will be executed instead.

            // solhint-disable-next-line avoid-low-level-calls
            (bool success, ) = address(this).call(msg.data);

            // solhint-disable-next-line no-inline-assembly
            assembly {
                // This call should always revert to decode the bpt and token amounts from the revert reason
                switch success
                    case 0 {
                        // Note we are manually writing the memory slot 0. We can safely overwrite whatever is
                        // stored there as we take full control of the execution and then immediately return.

                        // We copy the first 4 bytes to check if it matches with the expected signature, otherwise
                        // there was another revert reason and we should forward it.
                        returndatacopy(0, 0, 0x04)
                        let error := and(mload(0), 0xffffffff00000000000000000000000000000000000000000000000000000000)

                        // If the first 4 bytes don't match with the expected signature, we forward the revert reason.
                        if eq(eq(error, 0x43adbafb00000000000000000000000000000000000000000000000000000000), 0) {
                            returndatacopy(0, 0, returndatasize())
                            revert(0, returndatasize())
                        }

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

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

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

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

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

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

    function getPoolId() 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 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;

/**
 * @dev This is an empty interface used to represent either ERC20-conforming token contracts or ETH (using the zero
 * address sentinel value). We're just relying on the fact that `interface` can be used to declare new address-like
 * types.
 *
 * This concept is unrelated to a Pool's Asset Managers.
 */
interface IAsset {
    // solhint-disable-previous-line no-empty-blocks
}

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

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

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

pragma solidity ^0.7.0;

interface IAuthorizer {
    /**
     * @dev Returns true if `account` can perform the action described by `actionId` in the contract `where`.
     */
    function canPerform(
        bytes32 actionId,
        address account,
        address where
    ) external view returns (bool);
}

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

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

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

pragma solidity ^0.7.0;

// Inspired by Aave Protocol's IFlashLoanReceiver.

import "../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 "@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}.
     */
    function totalSupply() public view override returns (uint256) {
        return _totalSupply;
    }

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

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

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

    /**
     * @dev See {IERC20-approve}.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     */
    function approve(address spender, uint256 amount) public virtual override returns (bool) {
        _approve(msg.sender, spender, amount);
        return true;
    }

    /**
     * @dev See {IERC20-transferFrom}.
     *
     * Emits an {Approval} event indicating the updated allowance. This is not
     * required by the EIP. See the note at the beginning of {ERC20}.
     *
     * Requirements:
     *
     * - `sender` and `recipient` cannot be the zero address.
     * - `sender` must have a balance of at least `amount`.
     * - the caller must have allowance for ``sender``'s tokens of at least
     * `amount`.
     */
    function transferFrom(
        address sender,
        address recipient,
        uint256 amount
    ) public virtual override returns (bool) {
        _transfer(sender, recipient, amount);
        _approve(
            sender,
            msg.sender,
            _allowances[sender][msg.sender].sub(amount, Errors.ERC20_TRANSFER_EXCEEDS_ALLOWANCE)
        );
        return true;
    }

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

    /**
     * @dev Atomically decreases the allowance granted to `spender` by the caller.
     *
     * This is an alternative to {approve} that can be used as a mitigation for
     * problems described in {IERC20-approve}.
     *
     * Emits an {Approval} event indicating the updated allowance.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     * - `spender` must have allowance for the caller of at least
     * `subtractedValue`.
     */
    function decreaseAllowance(address spender, uint256 subtractedValue) public virtual returns (bool) {
        _approve(
            msg.sender,
            spender,
            _allowances[msg.sender][spender].sub(subtractedValue, Errors.ERC20_DECREASED_ALLOWANCE_BELOW_ZERO)
        );
        return true;
    }

    /**
     * @dev Moves tokens `amount` from `sender` to `recipient`.
     *
     * This is internal function is equivalent to {transfer}, and can be used to
     * e.g. implement automatic token fees, slashing mechanisms, etc.
     *
     * Emits a {Transfer} event.
     *
     * Requirements:
     *
     * - `sender` cannot be the zero address.
     * - `recipient` cannot be the zero address.
     * - `sender` must have a balance of at least `amount`.
     */
    function _transfer(
        address sender,
        address recipient,
        uint256 amount
    ) internal virtual {
        _require(sender != address(0), Errors.ERC20_TRANSFER_FROM_ZERO_ADDRESS);
        _require(recipient != address(0), Errors.ERC20_TRANSFER_TO_ZERO_ADDRESS);

        _beforeTokenTransfer(sender, recipient, amount);

        _balances[sender] = _balances[sender].sub(amount, Errors.ERC20_TRANSFER_EXCEEDS_BALANCE);
        _balances[recipient] = _balances[recipient].add(amount);
        emit Transfer(sender, recipient, amount);
    }

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

        _totalSupply = _totalSupply.add(amount);
        _balances[account] = _balances[account].add(amount);
        emit Transfer(address(0), account, amount);
    }

    /**
     * @dev Destroys `amount` tokens from `account`, reducing the
     * total supply.
     *
     * Emits a {Transfer} event with `to` set to the zero address.
     *
     * Requirements:
     *
     * - `account` cannot be the zero address.
     * - `account` must have at least `amount` tokens.
     */
    function _burn(address account, uint256 amount) internal virtual {
        _require(account != address(0), Errors.ERC20_BURN_FROM_ZERO_ADDRESS);

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

        _balances[account] = _balances[account].sub(amount, Errors.ERC20_BURN_EXCEEDS_BALANCE);
        _totalSupply = _totalSupply.sub(amount);
        emit Transfer(account, address(0), amount);
    }

    /**
     * @dev Sets `amount` as the allowance of `spender` over the `owner` s tokens.
     *
     * This internal function is equivalent to `approve`, and can be used to
     * e.g. set automatic allowances for certain subsystems, etc.
     *
     * Emits an {Approval} event.
     *
     * Requirements:
     *
     * - `owner` cannot be the zero address.
     * - `spender` cannot be the zero address.
     */
    function _approve(
        address owner,
        address spender,
        uint256 amount
    ) internal virtual {
        _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/solidity-utils/helpers/IRecoveryMode.sol";
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-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.
 *
 * In some pools, such as those with Oracles or Price Rates, Recovery mode takes advantage of mathematical properties
 * to safely compute the invariant for the special case of proportional withdrawals, without running the usual more
 * complex code necessary in general (e.g., for non-proportional joins/exits and swaps). This might be enough to
 * support functions like `getRate`, allowing dependent pools to function normally. (Otherwise, the dependent pools
 * can themselves be placed into Recovery Mode.)
 *
 * 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;

    bool private _recoveryMode;

    /**
     * @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 enableed.
     */
    function enableRecoveryMode() external 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 authenticate {
        _setRecoveryMode(false);
    }

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

    /**
     * @dev Sets the recoveryMode state, and emits the corresponding event. Can be overridden
     * if a pool needs to detect when the Recovery Mode state changes.
     *
     * No complex code or external calls that could fail should be placed here, which could jeopardize
     * the ability to enable and disable Recovery Mode.
     */
    function _setRecoveryMode(bool enabled) internal virtual {
        _recoveryMode = enabled;

        emit RecoveryModeStateChanged(enabled);
    }

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

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

    /**
     * @dev A minimal proportional exit, suitable as is for most pools: though not for pools with Phantom 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 "./EIP712.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, EIP712 {
    mapping(address => uint256) private _nonces;

    // solhint-disable-next-line var-name-mixedcase
    bytes32 private immutable _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 {
        // solhint-disable-next-line not-rely-on-time
        _require(block.timestamp <= deadline, Errors.EXPIRED_PERMIT);

        uint256 nonce = _nonces[owner];
        bytes32 structHash = keccak256(abi.encode(_PERMIT_TYPEHASH, owner, spender, value, nonce, deadline));

        bytes32 hash = _hashTypedDataV4(structHash);

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

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

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

    /**
     * @dev See {IERC20Permit-DOMAIN_SEPARATOR}.
     */
    // solhint-disable-next-line func-name-mixedcase
    function DOMAIN_SEPARATOR() external view override returns (bytes32) {
        return _domainSeparatorV4();
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.7.0;

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

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

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

// SPDX-License-Identifier: MIT

pragma solidity ^0.7.0;

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

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

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

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

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

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

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

// 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 helper.
 */
interface IRecoveryMode {
    /**
     * @dev Emitted every time the recovery mode changes through `_setRecoveryMode`.
     */
    event RecoveryModeStateChanged(bool enabled);

    /**
     * @notice Return whether 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;

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;

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 actionId) internal view virtual returns (bool);

    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/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;
pragma experimental ABIEncoderV2;

import "./IBasePool.sol";

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

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

• No Contract Security Audit Submitted- Submit Audit Here

[{"inputs":[{"internalType":"contract IVault","name":"vault","type":"address"},{"internalType":"string","name":"name","type":"string"},{"internalType":"string","name":"symbol","type":"string"},{"internalType":"contract IERC20[]","name":"tokens","type":"address[]"},{"internalType":"uint256","name":"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"}],"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":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":"address","name":"from","type":"address"},{"indexed":true,"internalType":"address","name":"to","type":"address"},{"indexed":false,"internalType":"uint256","name":"value","type":"uint256"}],"name":"Transfer","type":"event"},{"inputs":[],"name":"DOMAIN_SEPARATOR","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"owner","type":"address"},{"internalType":"address","name":"spender","type":"address"}],"name":"allowance","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"spender","type":"address"},{"internalType":"uint256","name":"amount","type":"uint256"}],"name":"approve","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"account","type":"address"}],"name":"balanceOf","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"decimals","outputs":[{"internalType":"uint8","name":"","type":"uint8"}],"stateMutability":"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":"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":"getLastInvariant","outputs":[{"internalType":"uint256","name":"lastInvariant","type":"uint256"},{"internalType":"uint256","name":"lastInvariantAmp","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getOwner","outputs":[{"internalType":"address","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getPausedState","outputs":[{"internalType":"bool","name":"paused","type":"bool"},{"internalType":"uint256","name":"pauseWindowEndTime","type":"uint256"},{"internalType":"uint256","name":"bufferPeriodEndTime","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getPoolId","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getRate","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"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":[],"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":[],"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":[{"components":[{"internalType":"enum IVault.SwapKind","name":"kind","type":"uint8"},{"internalType":"contract IERC20","name":"tokenIn","type":"address"},{"internalType":"contract IERC20","name":"tokenOut","type":"address"},{"internalType":"uint256","name":"amount","type":"uint256"},{"internalType":"bytes32","name":"poolId","type":"bytes32"},{"internalType":"uint256","name":"lastChangeBlock","type":"uint256"},{"internalType":"address","name":"from","type":"address"},{"internalType":"address","name":"to","type":"address"},{"internalType":"bytes","name":"userData","type":"bytes"}],"internalType":"struct IPoolSwapStructs.SwapRequest","name":"request","type":"tuple"},{"internalType":"uint256","name":"balanceTokenIn","type":"uint256"},{"internalType":"uint256","name":"balanceTokenOut","type":"uint256"}],"name":"onSwap","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"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":"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"}]

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

0x608060405234801561001057600080fd5b50600436106102c85760003560e01c806370a082311161017b5780639d2c110c116100d8578063b7b814fc1161008c578063d5c096c411610071578063d5c096c414610551578063dd62ed3e14610564578063eb0f24d614610577576102c8565b8063b7b814fc14610536578063d505accf1461053e576102c8565b8063a9059cbb116100bd578063a9059cbb14610513578063aaabadc514610526578063b35056b81461052e576102c8565b80639d2c110c146104ed578063a457c2d714610500576102c8565b806387ec68171161012f5780638d928af8116101145780638d928af8146104c757806395d89b41146104cf5780639b02cdde146104d7576102c8565b806387ec68171461049f578063893d20e8146104b2576102c8565b80637ecebe00116101605780637ecebe00146104715780638456cb5914610484578063851c1bb31461048c576102c8565b806370a082311461043d57806374f3b00914610450576102c8565b806338e9922e1161022957806354a844ba116101dd5780636028bfd4116101c25780636028bfd4146103fd578063679aefce1461041e5780636daccffa14610426576102c8565b806354a844ba146103ed57806355c67628146103f5576102c8565b8063395093511161020e57806339509351146103bf5780633f4ba83a146103d257806350dd6ed9146103da576102c8565b806338e9922e146103a457806338fff2d0146103b7576102c8565b80631dd746ea116102805780632f1a0bc9116102655780632f1a0bc914610372578063313ce567146103875780633644e5151461039c576102c8565b80631dd746ea1461034a57806323b872dd1461035f576102c8565b8063095ea7b3116102b1578063095ea7b31461030b57806318160ddd1461032b5780631c0de05114610333576102c8565b806301ec954a146102cd57806306fdde03146102f6575b600080fd5b6102e06102db3660046144d5565b61057f565b6040516102ed91906147ae565b60405180910390f35b6102fe61061d565b6040516102ed9190614884565b61031e610319366004614166565b6106b4565b6040516102ed919061478b565b6102e06106cb565b61033b6106d1565b6040516102ed93929190614796565b6103526106fa565b6040516102ed9190614753565b61031e61036d3660046140b6565b610709565b6103856103803660046145aa565b61077d565b005b61038f610860565b6040516102ed91906148ef565b6102e0610869565b6103856103b2366004614592565b610873565b6102e061088f565b61031e6103cd366004614166565b6108b3565b6103856108ee565b6103856103e836600461437c565b610902565b610385610920565b6102e0610932565b61041061040b36600461427d565b610945565b6040516102ed929190614897565b6102e061097c565b61042e610a49565b6040516102ed939291906148b0565b6102e061044b366004614062565b610a64565b61046361045e36600461427d565b610a83565b6040516102ed929190614766565b6102e061047f366004614062565b610b93565b610385610bae565b6102e061049a366004614320565b610bc0565b6104106104ad36600461427d565b610c12565b6104ba610c38565b6040516102ed919061473f565b6104ba610c5c565b6102fe610c80565b6104df610ce1565b6040516102ed9291906148c6565b6102e06104fb366004614546565b610ceb565b61031e61050e366004614166565b610e49565b61031e610521366004614166565b610e87565b6104ba610e94565b61031e610e9e565b610385610eac565b61038561054c3660046140f6565b610ebe565b61046361055f36600461427d565b611007565b6102e061057236600461407e565b611154565b610385611191565b600084608001516105ac610591610c5c565b6001600160a01b0316336001600160a01b03161460cd611259565b6105c16105b761088f565b82146101f4611259565b6105d384846105ce611267565b61128b565b60606105dd6112a8565b90506000875160018111156105ee57fe5b146106055761060087878787856113d0565b610612565b6106128787878785611447565b979650505050505050565b60038054604080516020601f60026000196101006001881615020190951694909404938401819004810282018101909252828152606093909290918301828280156106a95780601f1061067e576101008083540402835291602001916106a9565b820191906000526020600020905b81548152906001019060200180831161068c57829003601f168201915b505050505090505b90565b60006106c13384846114ab565b5060015b92915050565b60025490565b60008060006106de611513565b1592506106e9611530565b91506106f3611554565b9050909192565b60606107046112a8565b905090565b6000806107168533611154565b905061073a336001600160a01b03871614806107325750838210155b61019e611259565b610745858585611578565b336001600160a01b0386161480159061076057506000198114155b156107725761077285338584036114ab565b506001949350505050565b610785611658565b610795600183101561012c611259565b6107a661138883111561012d611259565b60006107b2824261121a565b90506107c66201518082101561013d611259565b6000806107d161169e565b915091506107e2811561013e611259565b60006107f0866103e86111c7565b9050600083821161081f5761081a61080b62015180866111c7565b61081584886111c7565b611712565b610839565b61083961082f62015180846111c7565b61081586886111c7565b905061084b600282111561013f611259565b61085784834289611745565b50505050505050565b60055460ff1690565b6000610704611794565b61087b611658565b610883611831565b61088c81611844565b50565b7fff4ce5aaab5a627bf82f4a571ab1ce94aa365ea600020000000000000000042690565b3360008181526001602090815260408083206001600160a01b038716845290915281205490916106c19185906108e990866118bc565b6114ab565b6108f6611658565b61090060006118ce565b565b61090a611658565b610912611831565b61091c828261195f565b5050565b610928611658565b6109006001611a77565b6008546000906107049060c06040611b45565b6000606061095b8651610956611267565b611b54565b61097089898989898989611b61611ba7611c08565b97509795505050505050565b60006060610988610c5c565b6001600160a01b031663f94d466861099e61088f565b6040518263ffffffff1660e01b81526004016109ba91906147ae565b60006040518083038186803b1580156109d257600080fd5b505afa1580156109e6573d6000803e3d6000fd5b505050506040513d6000823e601f3d908101601f19168201604052610a0e9190810190614191565b50915050610a2381610a1e6112a8565b611d98565b6000610a2d61169e565b509050610a428282610a3d6106cb565b611df9565b9250505090565b6000806000610a5661169e565b90949093506103e892509050565b6001600160a01b0381166000908152602081905260409020545b919050565b60608088610a92610591610c5c565b610a9d6105b761088f565b6060806000610aab87611e12565b15610b1857610ab8611e41565b895167ffffffffffffffff81118015610ad057600080fd5b50604051908082528060200260200182016040528015610afa578160200160208202803683370190505b509250610b0f8a610b096106cb565b89611e58565b92509050610b76565b610b20611831565b6060610b2a6112a8565b9050610b368b82611d98565b610b5a8e8e8e8e8e610b46610e9e565b610b50578e610b53565b60005b878f611b61565b955093509150610b6a8382611ba7565b610b748482611ba7565b505b610b808c82611e86565b50935091505b5097509795505050505050565b6001600160a01b031660009081526006602052604090205490565b610bb6611658565b61090060016118ce565b60007f0000000000000000000000008df6efec5547e31b0eb7d1291b511ff8a2bf987c82604051602001610bf59291906146c9565b604051602081830303815290604052805190602001209050919050565b60006060610c238651610956611267565b61097089898989898989611e90611ee1611c08565b7f000000000000000000000000ba1ba1ba1ba1ba1ba1ba1ba1ba1ba1ba1ba1ba1b90565b7f000000000000000000000000ba12222222228d8ba445958a75a0704d566bf2c890565b60048054604080516020601f60026000196101006001881615020190951694909404938401819004810282018101909252828152606093909290918301828280156106a95780601f1061067e576101008083540402835291602001916106a9565b600a54600b549091565b60008360800151610cfd610591610c5c565b610d086105b761088f565b6000610d178660200151611f42565b90506000610d288760400151611f42565b9050600087516001811115610d3957fe5b1415610dc9576000610d4e8860600151612048565b90506000818960600151039050610d728960200151610d6d8387612069565b612075565b60608901829052610d838885612069565b9750610d8f8784612069565b9650610d9f896060015185612069565b60608a01526000610db18a8a8a612087565b9050610dbd81856120c0565b96505050505050610e41565b610dd38683612069565b9550610ddf8582612069565b9450610def876060015182612069565b60608801526000610e018888886120cc565b9050610e0d81846120fb565b90506000610e1a82612107565b905060008282039050610e358a60200151610d6d8388612069565b509450610e4192505050565b509392505050565b600080610e563385611154565b9050808310610e7057610e6b338560006114ab565b610e7d565b610e7d33858584036114ab565b5060019392505050565b60006106c1338484611578565b600061070461212d565b600754610100900460ff1690565b610eb4611658565b6109006000611a77565b610ecc8442111560d1611259565b6001600160a01b0387166000908152600660209081526040808320549051909291610f23917f6e71edae12b1b97f4d1f60370fef10105fa2faae0126114a169c64845d6126c9918c918c918c9188918d91016147d6565b6040516020818303038152906040528051906020012090506000610f46826121a7565b9050600060018288888860405160008152602001604052604051610f6d9493929190614866565b6020604051602081039080840390855afa158015610f8f573d6000803e3d6000fd5b5050604051601f1901519150610fd190506001600160a01b03821615801590610fc957508b6001600160a01b0316826001600160a01b0316145b6101f8611259565b6001600160a01b038b166000908152600660205260409020600185019055610ffa8b8b8b6114ab565b5050505050505050505050565b60608088611016610591610c5c565b6110216105b761088f565b606061102b6112a8565b9050611035611831565b61103d6106cb565b6110f057600060606110528d8d8d868b6121c3565b9150915061106b611061612248565b83101560cc611259565b61107d6000611078612248565b61224f565b6110908b611089612248565b840361224f565b61109a8184611ee1565b806110a3611267565b67ffffffffffffffff811180156110b957600080fd5b506040519080825280602002602001820160405280156110e3578160200160208202803683370190505b5095509550505050610b86565b6110fa8882611d98565b60006060806111238e8e8e8e8e61110f610e9e565b611119578e61111c565b60005b8a8f611e90565b9250925092506111338c8461224f565b61113d8285611ee1565b6111478185611ba7565b9095509350610b86915050565b600061115e610c5c565b6001600160a01b0316826001600160a01b0316141561118057506000196106c5565b61118a8383612259565b90506106c5565b611199611658565b6000806111a461169e565b915091506111b481610140611259565b61091c82612284565b8061091c816122bf565b60008282026111eb8415806111e45750838583816111e157fe5b04145b6003611259565b9392505050565b60006111ff848484612338565b5082821b6000196001831b01831b198516175b949350505050565b600061122a838311156001611259565b50900390565b600061123d848484612338565b50501b90565b600081831061125257816111eb565b5090919050565b8161091c5761091c8161237e565b7f000000000000000000000000000000000000000000000000000000000000000290565b6112a3818410801561129c57508183105b6064611259565b505050565b606060006112b4611267565b905060608167ffffffffffffffff811180156112cf57600080fd5b506040519080825280602002602001820160405280156112f9578160200160208202803683370190505b5090506113046123eb565b8160008151811061131157fe5b60200260200101818152505061132561240f565b8160018151811061133257fe5b602002602001018181525050600282111561136d5761134f612433565b8160028151811061135c57fe5b602002602001018181525050611376565b91506106b19050565b600382111561136d57611387612457565b8160038151811061139457fe5b602002602001018181525050600482111561136d576113b161247b565b816004815181106113be57fe5b60200260200101818152505091505090565b60006113dc8583611d98565b6113fd86606001518385815181106113f057fe5b6020026020010151612069565b606087015260006114108787878761249f565b905061142f8184878151811061142257fe5b60200260200101516120fb565b905061143a81612107565b9150505b95945050505050565b60006114568660600151612048565b60608701526114658583611d98565b61147986606001518386815181106113f057fe5b6060870152600061148c878787876124e4565b905061143a8184868151811061149e57fe5b60200260200101516120c0565b6001600160a01b0380841660008181526001602090815260408083209487168084529490915290819020849055517f8c5be1e5ebec7d5bd14f71427d1e84f3dd0314c0f7b2291e5b200ac8c7c3b925906115069085906147ae565b60405180910390a3505050565b600061151d611554565b42118061070457505060075460ff161590565b7f0000000000000000000000000000000000000000000000000000000063bc52a790565b7f0000000000000000000000000000000000000000000000000000000063bc52a790565b61158f6001600160a01b0384161515610198611259565b6115a66001600160a01b0383161515610199611259565b6115b18383836112a3565b6001600160a01b0383166000908152602081905260409020546115d790826101a061251d565b6001600160a01b03808516600090815260208190526040808220939093559084168152205461160690826118bc565b6001600160a01b0380841660008181526020819052604090819020939093559151908516907fddf252ad1be2c89b69c2b068fc378daa952ba7f163c4a11628f55a4df523b3ef906115069085906147ae565b60006116876000357fffffffff0000000000000000000000000000000000000000000000000000000016610bc0565b905061088c6116968233612533565b610191611259565b6000806000806000806116af61261c565b9350935093509350804210156117025760019450838311156116e65781810382420385850302816116dc57fe5b04840195506116fd565b81810382420384860302816116f757fe5b04840395505b61170a565b600094508295505b505050509091565b60006117218215156004611259565b8261172e575060006106c5565b81600184038161173a57fe5b0460010190506106c5565b6117518484848461267b565b7f1835882ee7a34ac194f717a35e09bb1d24c82a3b9d854ab6c9749525b714cdf28484848460405161178694939291906148d4565b60405180910390a150505050565b60007f8b73c3c69bb8fe3d512ecc4cf759cc79239f7b179b0ffacaa9a75d522b39400f7f7878efa416644d96c9506bff45fed2bb1182355c6a0fe7b61608a312ab0789757fc89efdaa54c0f20c7adf612882df0950f5a951637e0307cdcb4c672f298b8bc66118016126ba565b3060405160200161181695949392919061480a565b60405160208183030381529060405280519060200120905090565b61090061183c611513565b610192611259565b61185764e8d4a5100082101560cb611259565b61186d67016345785d8a000082111560ca611259565b60085461187e908260c060406111f2565b6008556040517fa9ba3ffe0b6c366b81232caab38605a0699ad5398d6cce76f91ee809e322dafc906118b19083906147ae565b60405180910390a150565b60008282016111eb8482101583611259565b80156118ee576118e96118df611530565b4210610193611259565b611903565b6119036118f9611554565b42106101a9611259565b600780547fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff00168215151790556040517f9e3a5e37224532dea67b89face185703738a228a6e8a23dee546960180d3be64906118b190839061478b565b600061196961088f565b90506000611975610c5c565b6001600160a01b031663b05f8e4883866040518363ffffffff1660e01b81526004016119a292919061484f565b60806040518083038186803b1580156119ba57600080fd5b505afa1580156119ce573d6000803e3d6000fd5b505050506040513d601f19601f820116820180604052508101906119f291906145cb565b6040517f18e736d40000000000000000000000000000000000000000000000000000000081529094506001600160a01b03851693506318e736d49250611a3f915085908790600401614836565b600060405180830381600087803b158015611a5957600080fd5b505af1158015611a6d573d6000803e3d6000fd5b5050505050505050565b611a80816126be565b8061088c576060611a8f610c5c565b6001600160a01b031663f94d4668611aa561088f565b6040518263ffffffff1660e01b8152600401611ac191906147ae565b60006040518083038186803b158015611ad957600080fd5b505afa158015611aed573d6000803e3d6000fd5b505050506040513d6000823e601f3d908101601f19168201604052611b159190810190614191565b50915050611b2581610a1e6112a8565b6000611b2f61169e565b5090506112a3611b3f828461271e565b82612880565b6001901b6000190191901c1690565b61091c8183146067611259565b6000606080611b70888761288b565b9050611b7f888261121a612978565b611b8a8886866129e3565b9093509150611b998883612a6d565b985098509895505050505050565b60005b611bb2611267565b8110156112a357611be9838281518110611bc857fe5b6020026020010151838381518110611bdc57fe5b6020026020010151612a94565b838281518110611bf557fe5b6020908102919091010152600101611baa565b333014611cf7576000306001600160a01b0316600036604051611c2c9291906146f9565b6000604051808303816000865af19150503d8060008114611c69576040519150601f19603f3d011682016040523d82523d6000602084013e611c6e565b606091505b505090508060008114611c7d57fe5b60046000803e6000517fffffffff00000000000000000000000000000000000000000000000000000000167f43adbafb000000000000000000000000000000000000000000000000000000008114611cd9573d6000803e3d6000fd5b506020600460003e604060205260243d03602460403e601c3d016000f35b6060611d016112a8565b9050611d0d8782611d98565b60006060611d258c8c8c8c8c8c898d8d63ffffffff16565b5091509150611d3881848663ffffffff16565b8051601f1982018390526343adbafb7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc08301526020027fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdc82016044820181fd5b60005b611da3611267565b8110156112a357611dda838281518110611db957fe5b6020026020010151838381518110611dcd57fe5b6020026020010151612ae5565b838281518110611de657fe5b6020908102919091010152600101611d9b565b600080611e06848661271e565b905061143e8184612a94565b60008082511180156106c5575060ff801682806020019051810190611e37919061460b565b60ff161492915050565b60075461090090610100900460ff166101b6611259565b600060606000611e6784612b11565b90506060611e76878784612b27565b919350909150505b935093915050565b61091c8282612bd6565b60006060806060611ea1898861288b565b9050611eb0898261121a612978565b60006060611ebf8b8989612c92565b91509150611ecd8b82612ceb565b909d909c50909a5098505050505050505050565b60005b611eec611267565b8110156112a357611f23838281518110611f0257fe5b6020026020010151838381518110611f1657fe5b6020026020010151612cf8565b838281518110611f2f57fe5b6020908102919091010152600101611ee4565b6000611f4d82612d46565b15611f6157611f5a6123eb565b9050610a7e565b611f6a82612d78565b15611f7757611f5a61240f565b7f00000000000000000000000000000000000000000000000000000000000000006001600160a01b0316826001600160a01b03161415611fb957611f5a612433565b7f00000000000000000000000000000000000000000000000000000000000000006001600160a01b0316826001600160a01b03161415611ffb57611f5a612457565b7f00000000000000000000000000000000000000000000000000000000000000006001600160a01b0316826001600160a01b0316141561203d57611f5a61247b565b610a7e61013561237e565b60008061205d612056610932565b8490612daa565b90506111eb838261121a565b60006111eb8383612ae5565b61091c61208183612de6565b8261091c565b600061209e612094611267565b60021460d2611259565b60606000806120ae878787612dec565b925092509250610612878484846124e4565b60006111eb8383612a94565b60006120d9612094611267565b60606000806120e9878787612dec565b9250925092506106128784848461249f565b60006111eb8383612cf8565b60006106c5612126612117610932565b670de0b6b3a76400009061121a565b8390612cf8565b6000612137610c5c565b6001600160a01b031663aaabadc56040518163ffffffff1660e01b815260040160206040518083038186803b15801561216f57600080fd5b505afa158015612183573d6000803e3d6000fd5b505050506040513d601f19601f820116820180604052508101906107049190614360565b60006121b1611794565b82604051602001610bf5929190614709565b6000606060006121d284612ead565b90506121ed60008260028111156121e557fe5b1460ce611259565b60606121f885612ec3565b90506122078151610956611267565b6122118187611d98565b600061221b61169e565b509050600061222a828461271e565b9050806122378184612880565b9b929a509198505050505050505050565b620f424090565b61091c8282612ed9565b6001600160a01b03918216600090815260016020908152604080832093909416825291909152205490565b6122908182424261267b565b7fa0d01593e47e69d07e0ccd87bece09411e07dd1ed40ca8f2e7af2976542a0233816040516118b191906147ae565b6002815110156122ce5761088c565b6000816000815181106122dd57fe5b602002602001015190506000600190505b82518110156112a357600083828151811061230557fe5b6020026020010151905061232e816001600160a01b0316846001600160a01b0316106065611259565b91506001016122ee565b61234761010083106064611259565b61236f6001821015801561129c575061236560ff8461010003611243565b8211156064611259565b6112a383821c156101b4611259565b7f08c379a0000000000000000000000000000000000000000000000000000000006000908152602060045260076024526642414c23000030600a808404818106603090810160081b95839006959095019082900491820690940160101b939093010160c81b604452606490fd5b7f0000000000000000000000000000000000000000000000000de0b6b3a764000090565b7f000000000000000000000000000000000000000c9f2c9cd04674edea4000000090565b7f000000000000000000000000000000000000000000000000000000000000000090565b7f000000000000000000000000000000000000000000000000000000000000000090565b7f000000000000000000000000000000000000000000000000000000000000000090565b60006124a9611831565b60006124b361169e565b50905060006124c2828761271e565b905060006124d8838888888c6060015187612f67565b98975050505050505050565b60006124ee611831565b60006124f861169e565b5090506000612507828761271e565b905060006124d8838888888c6060015187613010565b600061252c8484111583611259565b5050900390565b600073ba1ba1ba1ba1ba1ba1ba1ba1ba1ba1ba1ba1ba1b612552610c38565b6001600160a01b03161415801561256d575061256d836130a9565b156125955761257a610c38565b6001600160a01b0316336001600160a01b03161490506106c5565b61259d61212d565b6001600160a01b0316639be2a8848484306040518463ffffffff1660e01b81526004016125cc939291906147b7565b60206040518083038186803b1580156125e457600080fd5b505afa1580156125f8573d6000803e3d6000fd5b505050506040513d601f19601f8201168201806040525081019061118a919061425d565b60008060008061263b60006040600954611b459092919063ffffffff16565b60095490945061264d90604080611b45565b6009549093506126609060806040611b45565b6009549092506126739060c06040611b45565b905090919293565b6126888160c06040611230565b6126958360806040611230565b6126a185604080611230565b6126ae8760006040611230565b17171760095550505050565b4690565b600780547fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff00ff16610100831515021790556040517feff3d4d215b42bf0960be9c6d5e05c22cba4df6627a3a523e2acee733b5854c8906118b190839061478b565b80516000908190815b8181101561275f5761275585828151811061273e57fe5b6020026020010151846118bc90919063ffffffff16565b9250600101612727565b5081612770576000925050506106c5565b600082868302825b60ff811015612869578260005b868110156127c6576127bc61279a83876111c7565b6127b78c84815181106127a957fe5b60200260200101518a6111c7565b613117565b9150600101612785565b5083945061281f6127fe6127f86127dd848a6111c7565b6127f26127ea888d6111c7565b6103e8613117565b906118bc565b866111c7565b6127b761280e89600101856111c7565b6127f26127ea6103e889038a6111c7565b9350848411156128475760018585031161284257839750505050505050506106c5565b612860565b60018486031161286057839750505050505050506106c5565b50600101612778565b5061287561014161237e565b505050505092915050565b600a91909155600b55565b606080612896611267565b67ffffffffffffffff811180156128ac57600080fd5b506040519080825280602002602001820160405280156128d6578160200160208202803683370190505b509050826128e55790506106c5565b600080856000815181106128f557fe5b602002602001015190506000600190505b61290e611267565b81101561294557600087828151811061292357fe5b602002602001015190508281111561293c578193508092505b50600101612906565b50612957600b5487600a548589613137565b83838151811061296357fe5b60209081029190910101525090949350505050565b60005b612983611267565b8110156129dd576129be84828151811061299957fe5b60200260200101518483815181106129ad57fe5b60200260200101518463ffffffff16565b8482815181106129ca57fe5b602090810291909101015260010161297b565b50505050565b6000606060006129f284612ead565b90506000816002811115612a0257fe5b1415612a1c57612a128685613199565b9250925050611e7e565b6001816002811115612a2a57fe5b1415612a3a57612a12868561325c565b6002816002811115612a4857fe5b1415612a5957612a1286868661328e565b612a6461015061237e565b50935093915050565b612a7a828261121a612978565b6000612a8461169e565b5090506112a3611b3f828561271e565b6000612aa38215156004611259565b82612ab0575060006106c5565b670de0b6b3a764000083810290612ad390858381612aca57fe5b04146005611259565b828181612adc57fe5b049150506106c5565b6000828202612aff8415806111e45750838583816111e157fe5b670de0b6b3a764000090049392505050565b6000818060200190518101906111eb9190614627565b60606000612b358385612a94565b9050845167ffffffffffffffff81118015612b4f57600080fd5b50604051908082528060200260200182016040528015612b79578160200160208202803683370190505b50915060005b8551811015612bcd57612bae82878381518110612b9857fe5b6020026020010151612ae590919063ffffffff16565b838281518110612bba57fe5b6020908102919091010152600101612b7f565b50509392505050565b612bed6001600160a01b038316151561019b611259565b612bf9826000836112a3565b6001600160a01b038216600090815260208190526040902054612c1f90826101b261251d565b6001600160a01b038316600090815260208190526040902055600254612c459082613301565b6002556040516000906001600160a01b038416907fddf252ad1be2c89b69c2b068fc378daa952ba7f163c4a11628f55a4df523b3ef90612c869085906147ae565b60405180910390a35050565b600060606000612ca184612ead565b90506001816002811115612cb157fe5b1415612cc257612a1286868661330f565b6002816002811115612cd057fe5b1415612ce057612a128685613379565b612a6461013661237e565b612a7a82826118bc612978565b6000612d078215156004611259565b82612d14575060006106c5565b670de0b6b3a764000083810290612d2e90858381612aca57fe5b826001820381612d3a57fe5b046001019150506106c5565b7f000000000000000000000000865377367054516e17014ccded1e7d814edc9ce46001600160a01b0390811691161490565b7f000000000000000000000000a0b86991c6218b36c1d19d4a2e9eb0ce3606eb486001600160a01b0390811691161490565b6000828202612dc48415806111e45750838583816111e157fe5b80612dd35760009150506106c5565b670de0b6b3a76400006000198201612d3a565b50600090565b60408051600280825260608281019093526000918291816020016020820280368337019050509250612e218660200151612d46565b15612e675760009150600190508483600081518110612e3c57fe5b6020026020010181815250508383600181518110612e5657fe5b602002602001018181525050612ea4565b60009050600191508383600081518110612e7d57fe5b6020026020010181815250508483600181518110612e9757fe5b6020026020010181815250505b93509350939050565b6000818060200190518101906106c591906143ca565b6060818060200190518101906111eb9190614490565b612ee5600083836112a3565b600254612ef290826118bc565b6002556001600160a01b038216600090815260208190526040902054612f1890826118bc565b6001600160a01b0383166000818152602081905260408082209390935591519091907fddf252ad1be2c89b69c2b068fc378daa952ba7f163c4a11628f55a4df523b3ef90612c869085906147ae565b6000612f8f83878681518110612f7957fe5b602002602001015161121a90919063ffffffff16565b868581518110612f9b57fe5b6020026020010181815250506000612fb58888858961340e565b905083878681518110612fc457fe5b602002602001015101878681518110612fd957fe5b6020026020010181815250506124d860016127f2898981518110612ff957fe5b60200260200101518461121a90919063ffffffff16565b60006130388387878151811061302257fe5b60200260200101516118bc90919063ffffffff16565b86868151811061304457fe5b602002602001018181525050600061305e8888858861340e565b90508387878151811061306d57fe5b60200260200101510387878151811061308257fe5b6020026020010181815250506124d860016130a3838a8981518110612f7957fe5b9061121a565b60006130d47f2f1a0bc900000000000000000000000000000000000000000000000000000000610bc0565b82148061310857506131057feb0f24d600000000000000000000000000000000000000000000000000000000610bc0565b82145b806106c557506106c5826135cb565b60006131268215156004611259565b81838161312f57fe5b049392505050565b6000806131468787878761340e565b90508086858151811061315557fe5b60200260200101511161316c57600091505061143e565b60008187868151811061317b57fe5b60200260200101510390506124d88482612ae590919063ffffffff16565b600060606000806131a98561362f565b915091506131c16131b8611267565b82106064611259565b60606131cb611267565b67ffffffffffffffff811180156131e157600080fd5b5060405190808252806020026020018201604052801561320b578160200160208202803683370190505b509050600061321861169e565b5090506132378189858761322a6106cb565b613232610932565b613651565b82848151811061324357fe5b6020908102919091010152509196919550909350505050565b60006060600061326b8461376b565b90506060613281868361327c6106cb565b613781565b9196919550909350505050565b6000606080600061329e8561381d565b915091506132af8251610956611267565b6132b98287611d98565b60006132c361169e565b50905060006132e3828a866132d66106cb565b6132de610932565b613835565b90506132f38382111560cf611259565b989297509195505050505050565b60006111eb8383600161251d565b6000606080600061331f8561381d565b9150915061333561332e611267565b8351611b54565b61333f8287611d98565b600061334961169e565b5090506000613369828a8661335c6106cb565b613364610932565b613ac7565b90506132f38382101560d0611259565b600060606000806133898561362f565b915091506133986131b8611267565b60606133a2611267565b67ffffffffffffffff811180156133b857600080fd5b506040519080825280602002602001820160405280156133e2578160200160208202803683370190505b50905060006133ef61169e565b509050613237818985876134016106cb565b613409610932565b613d58565b60008084518602905060008560008151811061342657fe5b60200260200101519050600086518760008151811061344157fe5b60200260200101510290506000600190505b87518110156134a75761348c61348661347f848b858151811061347257fe5b60200260200101516111c7565b8a516111c7565b88613117565b915061349d88828151811061273e57fe5b9250600101613453565b508685815181106134b457fe5b60200260200101518203915060006134cc87886111c7565b905060006134f86134ec6134e48461081589886111c7565b6103e86111c7565b8a898151811061347257fe5b9050600061351361350c6134e48b89613117565b86906118bc565b905060008061352f61352586866118bc565b6108158d866118bc565b905060005b60ff8110156135af57819250613564613551866127f285866111c7565b6108158e6130a3886127f28860026111c7565b91508282111561358d57600183830311613588575097506112129650505050505050565b6135a7565b6001828403116135a7575097506112129650505050505050565b600101613534565b506135bb61014261237e565b5050505050505050949350505050565b60006135f67f38e9922e00000000000000000000000000000000000000000000000000000000610bc0565b8214806106c557506136277f50dd6ed900000000000000000000000000000000000000000000000000000000610bc0565b909114919050565b60008082806020019051810190613646919061445a565b909590945092505050565b60008061365e888861271e565b905060006136808261367a87613674818b61121a565b90612cf8565b90612daa565b905060006136908a8a848b61340e565b905060006136a4828b8b81518110612f7957fe5b90506000805b8b518110156136e3576136d98c82815181106136c257fe5b6020026020010151836118bc90919063ffffffff16565b91506001016136aa565b50600061370c828d8d815181106136f657fe5b6020026020010151612a9490919063ffffffff16565b9050600061371982613e33565b905060006137278583612daa565b90506000613735868361121a565b905061375661374f83670de0b6b3a76400008e9003612ae5565b82906118bc565b99505050505050505050509695505050505050565b6000818060200190518101906111eb919061442d565b6060600061378f8484612a94565b90506060855167ffffffffffffffff811180156137ab57600080fd5b506040519080825280602002602001820160405280156137d5578160200160208202803683370190505b50905060005b8651811015613813576137f483888381518110612b9857fe5b82828151811061380057fe5b60209081029190910101526001016137db565b5095945050505050565b606060008280602001905181019061364691906143e6565b600080805b865181101561385c576138528782815181106136c257fe5b915060010161383a565b506060855167ffffffffffffffff8111801561387757600080fd5b506040519080825280602002602001820160405280156138a1578160200160208202803683370190505b5090506000805b88518110156139685760006138d9858b84815181106138c357fe5b6020026020010151612cf890919063ffffffff16565b90506139158a83815181106138ea57fe5b60200260200101516136748b858151811061390157fe5b60200260200101518d8681518110612f7957fe5b84838151811061392157fe5b60200260200101818152505061395d6139568286858151811061394057fe5b6020026020010151612daa90919063ffffffff16565b84906118bc565b9250506001016138a8565b506060885167ffffffffffffffff8111801561398357600080fd5b506040519080825280602002602001820160405280156139ad578160200160208202803683370190505b50905060005b8951811015613a785760008482815181106139ca57fe5b6020026020010151841115613a315760006139f36139e786613e33565b8d8581518110612b9857fe5b90506000613a07828d8681518110612f7957fe5b9050613a28613a2182670de0b6b3a76400008d9003612cf8565b83906118bc565b92505050613a48565b898281518110613a3d57fe5b602002602001015190505b613a58818c8481518110612f7957fe5b838381518110613a6457fe5b6020908102919091010152506001016139b3565b506000613a858b8b61271e565b90506000613a938c8461271e565b90506000613aa18284612a94565b9050613ab6613aaf82613e33565b8b90612daa565b9d9c50505050505050505050505050565b600080805b8651811015613aee57613ae48782815181106136c257fe5b9150600101613acc565b506060855167ffffffffffffffff81118015613b0957600080fd5b50604051908082528060200260200182016040528015613b33578160200160208202803683370190505b5090506000805b8851811015613bcd576000613b55858b84815181106136f657fe5b9050613b978a8381518110613b6657fe5b6020026020010151613b918b8581518110613b7d57fe5b60200260200101518d868151811061302257fe5b90612a94565b848381518110613ba357fe5b602002602001018181525050613bc261395682868581518110612b9857fe5b925050600101613b3a565b506060885167ffffffffffffffff81118015613be857600080fd5b50604051908082528060200260200182016040528015613c12578160200160208202803683370190505b50905060005b8951811015613cd357600083858381518110613c3057fe5b60200260200101511115613c8c576000613c556139e786670de0b6b3a764000061121a565b90506000613c69828d8681518110612f7957fe5b9050613c83613a2182670de0b6b3a76400008d9003612ae5565b92505050613ca3565b898281518110613c9857fe5b602002602001015190505b613cb3818c848151811061302257fe5b838381518110613cbf57fe5b602090810291909101015250600101613c18565b506000613ce08b8b61271e565b90506000613cee8c8461271e565b90506000613cfc8284612a94565b9050670de0b6b3a7640000811115613d4857613d3a8a7ffffffffffffffffffffffffffffffffffffffffffffffffff21f494c589c00008301612ae5565b97505050505050505061143e565b600097505050505050505061143e565b600080613d65888861271e565b90506000613d7b8261367a87613674818b6118bc565b90506000613d8b8a8a848b61340e565b90506000613db58a8a81518110613d9e57fe5b60200260200101518361121a90919063ffffffff16565b90506000805b8b51811015613ddd57613dd38c82815181106136c257fe5b9150600101613dbb565b506000613df0828d8d815181106136f657fe5b90506000613dfd82613e33565b90506000613e0b8583612daa565b90506000613e19868361121a565b905061375661374f83670de0b6b3a76400008e9003612cf8565b6000670de0b6b3a76400008210613e4b5760006106c5565b50670de0b6b3a76400000390565b80356106c581614944565b600082601f830112613e74578081fd5b8135613e87613e8282614924565b6148fd565b818152915060208083019084810181840286018201871015613ea857600080fd5b60005b8481101561287557813584529282019290820190600101613eab565b600082601f830112613ed7578081fd5b8151613ee5613e8282614924565b818152915060208083019084810181840286018201871015613f0657600080fd5b60005b8481101561287557815184529282019290820190600101613f09565b600082601f830112613f35578081fd5b813567ffffffffffffffff811115613f4b578182fd5b613f5e6020601f19601f840116016148fd565b9150808252836020828501011115613f7557600080fd5b8060208401602084013760009082016020015292915050565b8035600281106106c557600080fd5b6000610120808385031215613fb0578182fd5b613fb9816148fd565b915050613fc68383613f8e565b8152613fd58360208401613e59565b6020820152613fe78360408401613e59565b6040820152606082013560608201526080820135608082015260a082013560a08201526140178360c08401613e59565b60c08201526140298360e08401613e59565b60e08201526101008083013567ffffffffffffffff81111561404a57600080fd5b61405685828601613f25565b82840152505092915050565b600060208284031215614073578081fd5b81356111eb81614944565b60008060408385031215614090578081fd5b823561409b81614944565b915060208301356140ab81614944565b809150509250929050565b6000806000606084860312156140ca578081fd5b83356140d581614944565b925060208401356140e581614944565b929592945050506040919091013590565b600080600080600080600060e0888a031215614110578283fd5b873561411b81614944565b9650602088013561412b81614944565b95506040880135945060608801359350608088013561414981614966565b9699959850939692959460a0840135945060c09093013592915050565b60008060408385031215614178578182fd5b823561418381614944565b946020939093013593505050565b6000806000606084860312156141a5578081fd5b835167ffffffffffffffff808211156141bc578283fd5b818601915086601f8301126141cf578283fd5b81516141dd613e8282614924565b80828252602080830192508086018b8283870289010111156141fd578788fd5b8796505b8487101561422857805161421481614944565b845260019690960195928101928101614201565b50890151909750935050508082111561423f578283fd5b5061424c86828701613ec7565b925050604084015190509250925092565b60006020828403121561426e578081fd5b815180151581146111eb578182fd5b600080600080600080600060e0888a031215614297578081fd5b8735965060208801356142a981614944565b955060408801356142b981614944565b9450606088013567ffffffffffffffff808211156142d5578283fd5b6142e18b838c01613e64565b955060808a0135945060a08a0135935060c08a0135915080821115614304578283fd5b506143118a828b01613f25565b91505092959891949750929550565b600060208284031215614331578081fd5b81357fffffffff00000000000000000000000000000000000000000000000000000000811681146111eb578182fd5b600060208284031215614371578081fd5b81516111eb81614944565b6000806040838503121561438e578182fd5b823561439981614944565b9150602083013567ffffffffffffffff8111156143b4578182fd5b6143c085828601613f25565b9150509250929050565b6000602082840312156143db578081fd5b81516111eb81614959565b6000806000606084860312156143fa578081fd5b835161440581614959565b602085015190935067ffffffffffffffff811115614421578182fd5b61424c86828701613ec7565b6000806040838503121561443f578182fd5b825161444a81614959565b6020939093015192949293505050565b60008060006060848603121561446e578081fd5b835161447981614959565b602085015160409095015190969495509392505050565b600080604083850312156144a2578182fd5b82516144ad81614959565b602084015190925067ffffffffffffffff8111156144c9578182fd5b6143c085828601613ec7565b600080600080608085870312156144ea578182fd5b843567ffffffffffffffff80821115614501578384fd5b61450d88838901613f9d565b95506020870135915080821115614522578384fd5b5061452f87828801613e64565b949794965050505060408301359260600135919050565b60008060006060848603121561455a578081fd5b833567ffffffffffffffff811115614570578182fd5b61457c86828701613f9d565b9660208601359650604090950135949350505050565b6000602082840312156145a3578081fd5b5035919050565b600080604083850312156145bc578182fd5b50508035926020909101359150565b600080600080608085870312156145e0578182fd5b845193506020850151925060408501519150606085015161460081614944565b939692955090935050565b60006020828403121561461c578081fd5b81516111eb81614966565b60008060408385031215614639578182fd5b825161444a81614966565b6000815180845260208085019450808401835b8381101561467357815187529582019590820190600101614657565b509495945050505050565b60008151808452815b818110156146a357602081850181015186830182015201614687565b818111156146b45782602083870101525b50601f01601f19169290920160200192915050565b9182527fffffffff0000000000000000000000000000000000000000000000000000000016602082015260240190565b6000828483379101908152919050565b7f190100000000000000000000000000000000000000000000000000000000000081526002810192909252602282015260420190565b6001600160a01b0391909116815260200190565b6000602082526111eb6020830184614644565b6000604082526147796040830185614644565b828103602084015261143e8185614644565b901515815260200190565b92151583526020830191909152604082015260600190565b90815260200190565b9283526001600160a01b03918216602084015216604082015260600190565b9586526001600160a01b0394851660208701529290931660408501526060840152608083019190915260a082015260c00190565b9485526020850193909352604084019190915260608301526001600160a01b0316608082015260a00190565b600083825260406020830152611212604083018461467e565b9182526001600160a01b0316602082015260400190565b93845260ff9290921660208401526040830152606082015260800190565b6000602082526111eb602083018461467e565b6000838252604060208301526112126040830184614644565b9283529015156020830152604082015260600190565b918252602082015260400190565b93845260208401929092526040830152606082015260800190565b60ff91909116815260200190565b60405181810167ffffffffffffffff8111828210171561491c57600080fd5b604052919050565b600067ffffffffffffffff82111561493a578081fd5b5060209081020190565b6001600160a01b038116811461088c57600080fd5b6003811061088c57600080fd5b60ff8116811461088c57600080fdfea26469706673582212200b4ccacd36cf60706a9f9f10be90785ff089fc18314f4312da2aaa6f4a1ddf3264736f6c63430007010033

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

-----Decoded View---------------
Arg [0] : vault (address): 0xBA12222222228d8Ba445958a75a0704d566BF2C8
Arg [1] : name (string): DOLA USDC Stable Pool
Arg [2] : symbol (string): DOLA-USDC BSP
Arg [3] : tokens (address[]): 0x865377367054516e17014CcdED1e7d814EDC9ce4,0xA0b86991c6218b36c1d19D4a2e9Eb0cE3606eB48
Arg [4] : amplificationParameter (uint256): 200
Arg [5] : swapFeePercentage (uint256): 400000000000000
Arg [6] : pauseWindowDuration (uint256): 0
Arg [7] : bufferPeriodDuration (uint256): 0
Arg [8] : owner (address): 0xBA1BA1ba1BA1bA1bA1Ba1BA1ba1BA1bA1ba1ba1B

-----Encoded View---------------
16 Constructor Arguments found :
Arg [0] : 000000000000000000000000ba12222222228d8ba445958a75a0704d566bf2c8
Arg [1] : 0000000000000000000000000000000000000000000000000000000000000120
Arg [2] : 0000000000000000000000000000000000000000000000000000000000000160
Arg [3] : 00000000000000000000000000000000000000000000000000000000000001a0
Arg [4] : 00000000000000000000000000000000000000000000000000000000000000c8
Arg [5] : 00000000000000000000000000000000000000000000000000016bcc41e90000
Arg [6] : 0000000000000000000000000000000000000000000000000000000000000000
Arg [7] : 0000000000000000000000000000000000000000000000000000000000000000
Arg [8] : 000000000000000000000000ba1ba1ba1ba1ba1ba1ba1ba1ba1ba1ba1ba1ba1b
Arg [9] : 0000000000000000000000000000000000000000000000000000000000000015
Arg [10] : 444f4c41205553444320537461626c6520506f6f6c0000000000000000000000
Arg [11] : 000000000000000000000000000000000000000000000000000000000000000d
Arg [12] : 444f4c412d555344432042535000000000000000000000000000000000000000
Arg [13] : 0000000000000000000000000000000000000000000000000000000000000002
Arg [14] : 000000000000000000000000865377367054516e17014ccded1e7d814edc9ce4
Arg [15] : 000000000000000000000000a0b86991c6218b36c1d19d4a2e9eb0ce3606eb48