// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
import "../utils/ContextUpgradeable.sol";
import "../proxy/Initializable.sol";
/**
 * @dev Contract module which provides a basic access control mechanism, where
 * there is an account (an owner) that can be granted exclusive access to
 * specific functions.
 *
 * By default, the owner account will be the one that deploys the contract. This
 * can later be changed with {transferOwnership}.
 *
 * This module is used through inheritance. It will make available the modifier
 * `onlyOwner`, which can be applied to your functions to restrict their use to
 * the owner.
 */
abstract contract OwnableUpgradeable is Initializable, ContextUpgradeable {
    address private _owner;
    event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);
    /**
     * @dev Initializes the contract setting the deployer as the initial owner.
     */
    function __Ownable_init() internal initializer {
        __Context_init_unchained();
        __Ownable_init_unchained();
    }
    function __Ownable_init_unchained() internal initializer {
        address msgSender = _msgSender();
        _owner = msgSender;
        emit OwnershipTransferred(address(0), msgSender);
    }
    /**
     * @dev Returns the address of the current owner.
     */
    function owner() public view virtual returns (address) {
        return _owner;
    }
    /**
     * @dev Throws if called by any account other than the owner.
     */
    modifier onlyOwner() {
        require(owner() == _msgSender(), "Ownable: caller is not the owner");
        _;
    }
    /**
     * @dev Leaves the contract without owner. It will not be possible to call
     * `onlyOwner` functions anymore. Can only be called by the current owner.
     *
     * NOTE: Renouncing ownership will leave the contract without an owner,
     * thereby removing any functionality that is only available to the owner.
     */
    function renounceOwnership() public virtual onlyOwner {
        emit OwnershipTransferred(_owner, address(0));
        _owner = address(0);
    }
    /**
     * @dev Transfers ownership of the contract to a new account (`newOwner`).
     * Can only be called by the current owner.
     */
    function transferOwnership(address newOwner) public virtual onlyOwner {
        require(newOwner != address(0), "Ownable: new owner is the zero address");
        emit OwnershipTransferred(_owner, newOwner);
        _owner = newOwner;
    }
    uint256[49] private __gap;
}
// SPDX-License-Identifier: MIT
// solhint-disable-next-line compiler-version
pragma solidity >=0.4.24 <0.8.0;
import "../utils/AddressUpgradeable.sol";
/**
 * @dev This is a base contract to aid in writing upgradeable contracts, or any kind of contract that will be deployed
 * behind a proxy. Since a proxied contract can't have a constructor, it's common to move constructor logic to an
 * external initializer function, usually called `initialize`. It then becomes necessary to protect this initializer
 * function so it can only be called once. The {initializer} modifier provided by this contract will have this effect.
 *
 * TIP: To avoid leaving the proxy in an uninitialized state, the initializer function should be called as early as
 * possible by providing the encoded function call as the `_data` argument to {UpgradeableProxy-constructor}.
 *
 * CAUTION: When used with inheritance, manual care must be taken to not invoke a parent initializer twice, or to ensure
 * that all initializers are idempotent. This is not verified automatically as constructors are by Solidity.
 */
abstract contract Initializable {
    /**
     * @dev Indicates that the contract has been initialized.
     */
    bool private _initialized;
    /**
     * @dev Indicates that the contract is in the process of being initialized.
     */
    bool private _initializing;
    /**
     * @dev Modifier to protect an initializer function from being invoked twice.
     */
    modifier initializer() {
        require(_initializing || _isConstructor() || !_initialized, "Initializable: contract is already initialized");
        bool isTopLevelCall = !_initializing;
        if (isTopLevelCall) {
            _initializing = true;
            _initialized = true;
        }
        _;
        if (isTopLevelCall) {
            _initializing = false;
        }
    }
    /// @dev Returns true if and only if the function is running in the constructor
    function _isConstructor() private view returns (bool) {
        return !AddressUpgradeable.isContract(address(this));
    }
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.2 <0.8.0;
/**
 * @dev Collection of functions related to the address type
 */
library AddressUpgradeable {
    /**
     * @dev Returns true if `account` is a contract.
     *
     * [IMPORTANT]
     * ====
     * It is unsafe to assume that an address for which this function returns
     * false is an externally-owned account (EOA) and not a contract.
     *
     * Among others, `isContract` will return false for the following
     * types of addresses:
     *
     *  - an externally-owned account
     *  - a contract in construction
     *  - an address where a contract will be created
     *  - an address where a contract lived, but was destroyed
     * ====
     */
    function isContract(address account) internal view returns (bool) {
        // This method relies on extcodesize, which returns 0 for contracts in
        // construction, since the code is only stored at the end of the
        // constructor execution.
        uint256 size;
        // solhint-disable-next-line no-inline-assembly
        assembly { size := extcodesize(account) }
        return size > 0;
    }
    /**
     * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
     * `recipient`, forwarding all available gas and reverting on errors.
     *
     * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
     * of certain opcodes, possibly making contracts go over the 2300 gas limit
     * imposed by `transfer`, making them unable to receive funds via
     * `transfer`. {sendValue} removes this limitation.
     *
     * https://diligence.consensys.net/posts/2019/09/stop-using-soliditys-transfer-now/[Learn more].
     *
     * IMPORTANT: because control is transferred to `recipient`, care must be
     * taken to not create reentrancy vulnerabilities. Consider using
     * {ReentrancyGuard} or the
     * https://solidity.readthedocs.io/en/v0.5.11/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
     */
    function sendValue(address payable recipient, uint256 amount) internal {
        require(address(this).balance >= amount, "Address: insufficient balance");
        // solhint-disable-next-line avoid-low-level-calls, avoid-call-value
        (bool success, ) = recipient.call{ value: amount }("");
        require(success, "Address: unable to send value, recipient may have reverted");
    }
    /**
     * @dev Performs a Solidity function call using a low level `call`. A
     * plain`call` is an unsafe replacement for a function call: use this
     * function instead.
     *
     * If `target` reverts with a revert reason, it is bubbled up by this
     * function (like regular Solidity function calls).
     *
     * Returns the raw returned data. To convert to the expected return value,
     * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
     *
     * Requirements:
     *
     * - `target` must be a contract.
     * - calling `target` with `data` must not revert.
     *
     * _Available since v3.1._
     */
    function functionCall(address target, bytes memory data) internal returns (bytes memory) {
      return functionCall(target, data, "Address: low-level call failed");
    }
    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
     * `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCall(address target, bytes memory data, string memory errorMessage) internal returns (bytes memory) {
        return functionCallWithValue(target, data, 0, errorMessage);
    }
    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but also transferring `value` wei to `target`.
     *
     * Requirements:
     *
     * - the calling contract must have an ETH balance of at least `value`.
     * - the called Solidity function must be `payable`.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(address target, bytes memory data, uint256 value) internal returns (bytes memory) {
        return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
    }
    /**
     * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
     * with `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(address target, bytes memory data, uint256 value, string memory errorMessage) internal returns (bytes memory) {
        require(address(this).balance >= value, "Address: insufficient balance for call");
        require(isContract(target), "Address: call to non-contract");
        // solhint-disable-next-line avoid-low-level-calls
        (bool success, bytes memory returndata) = target.call{ value: value }(data);
        return _verifyCallResult(success, returndata, errorMessage);
    }
    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
        return functionStaticCall(target, data, "Address: low-level static call failed");
    }
    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(address target, bytes memory data, string memory errorMessage) internal view returns (bytes memory) {
        require(isContract(target), "Address: static call to non-contract");
        // solhint-disable-next-line avoid-low-level-calls
        (bool success, bytes memory returndata) = target.staticcall(data);
        return _verifyCallResult(success, returndata, errorMessage);
    }
    function _verifyCallResult(bool success, bytes memory returndata, string memory errorMessage) private pure returns(bytes memory) {
        if (success) {
            return returndata;
        } else {
            // Look for revert reason and bubble it up if present
            if (returndata.length > 0) {
                // The easiest way to bubble the revert reason is using memory via assembly
                // solhint-disable-next-line no-inline-assembly
                assembly {
                    let returndata_size := mload(returndata)
                    revert(add(32, returndata), returndata_size)
                }
            } else {
                revert(errorMessage);
            }
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
import "../proxy/Initializable.sol";
/*
 * @dev Provides information about the current execution context, including the
 * sender of the transaction and its data. While these are generally available
 * via msg.sender and msg.data, they should not be accessed in such a direct
 * manner, since when dealing with GSN meta-transactions the account sending and
 * paying for execution may not be the actual sender (as far as an application
 * is concerned).
 *
 * This contract is only required for intermediate, library-like contracts.
 */
abstract contract ContextUpgradeable is Initializable {
    function __Context_init() internal initializer {
        __Context_init_unchained();
    }
    function __Context_init_unchained() internal initializer {
    }
    function _msgSender() internal view virtual returns (address payable) {
        return msg.sender;
    }
    function _msgData() internal view virtual returns (bytes memory) {
        this; // silence state mutability warning without generating bytecode - see https://github.com/ethereum/solidity/issues/2691
        return msg.data;
    }
    uint256[50] private __gap;
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
import "./ContextUpgradeable.sol";
import "../proxy/Initializable.sol";
/**
 * @dev Contract module which allows children to implement an emergency stop
 * mechanism that can be triggered by an authorized account.
 *
 * This module is used through inheritance. It will make available the
 * modifiers `whenNotPaused` and `whenPaused`, which can be applied to
 * the functions of your contract. Note that they will not be pausable by
 * simply including this module, only once the modifiers are put in place.
 */
abstract contract PausableUpgradeable is Initializable, ContextUpgradeable {
    /**
     * @dev Emitted when the pause is triggered by `account`.
     */
    event Paused(address account);
    /**
     * @dev Emitted when the pause is lifted by `account`.
     */
    event Unpaused(address account);
    bool private _paused;
    /**
     * @dev Initializes the contract in unpaused state.
     */
    function __Pausable_init() internal initializer {
        __Context_init_unchained();
        __Pausable_init_unchained();
    }
    function __Pausable_init_unchained() internal initializer {
        _paused = false;
    }
    /**
     * @dev Returns true if the contract is paused, and false otherwise.
     */
    function paused() public view virtual returns (bool) {
        return _paused;
    }
    /**
     * @dev Modifier to make a function callable only when the contract is not paused.
     *
     * Requirements:
     *
     * - The contract must not be paused.
     */
    modifier whenNotPaused() {
        require(!paused(), "Pausable: paused");
        _;
    }
    /**
     * @dev Modifier to make a function callable only when the contract is paused.
     *
     * Requirements:
     *
     * - The contract must be paused.
     */
    modifier whenPaused() {
        require(paused(), "Pausable: not paused");
        _;
    }
    /**
     * @dev Triggers stopped state.
     *
     * Requirements:
     *
     * - The contract must not be paused.
     */
    function _pause() internal virtual whenNotPaused {
        _paused = true;
        emit Paused(_msgSender());
    }
    /**
     * @dev Returns to normal state.
     *
     * Requirements:
     *
     * - The contract must be paused.
     */
    function _unpause() internal virtual whenPaused {
        _paused = false;
        emit Unpaused(_msgSender());
    }
    uint256[49] private __gap;
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
import "../proxy/Initializable.sol";
/**
 * @dev Contract module that helps prevent reentrant calls to a function.
 *
 * Inheriting from `ReentrancyGuard` will make the {nonReentrant} modifier
 * available, which can be applied to functions to make sure there are no nested
 * (reentrant) calls to them.
 *
 * Note that because there is a single `nonReentrant` guard, functions marked as
 * `nonReentrant` may not call one another. This can be worked around by making
 * those functions `private`, and then adding `external` `nonReentrant` entry
 * points to them.
 *
 * TIP: If you would like to learn more about reentrancy and alternative ways
 * to protect against it, check out our blog post
 * https://blog.openzeppelin.com/reentrancy-after-istanbul/[Reentrancy After Istanbul].
 */
abstract contract ReentrancyGuardUpgradeable is Initializable {
    // Booleans are more expensive than uint256 or any type that takes up a full
    // word because each write operation emits an extra SLOAD to first read the
    // slot's contents, replace the bits taken up by the boolean, and then write
    // back. This is the compiler's defense against contract upgrades and
    // pointer aliasing, and it cannot be disabled.
    // The values being non-zero value makes deployment a bit more expensive,
    // but in exchange the refund on every call to nonReentrant will be lower in
    // amount. Since refunds are capped to a percentage of the total
    // transaction's gas, it is best to keep them low in cases like this one, to
    // increase the likelihood of the full refund coming into effect.
    uint256 private constant _NOT_ENTERED = 1;
    uint256 private constant _ENTERED = 2;
    uint256 private _status;
    function __ReentrancyGuard_init() internal initializer {
        __ReentrancyGuard_init_unchained();
    }
    function __ReentrancyGuard_init_unchained() internal initializer {
        _status = _NOT_ENTERED;
    }
    /**
     * @dev Prevents a contract from calling itself, directly or indirectly.
     * Calling a `nonReentrant` function from another `nonReentrant`
     * function is not supported. It is possible to prevent this from happening
     * by making the `nonReentrant` function external, and make it call a
     * `private` function that does the actual work.
     */
    modifier nonReentrant() {
        // On the first call to nonReentrant, _notEntered will be true
        require(_status != _ENTERED, "ReentrancyGuard: reentrant call");
        // Any calls to nonReentrant after this point will fail
        _status = _ENTERED;
        _;
        // By storing the original value once again, a refund is triggered (see
        // https://eips.ethereum.org/EIPS/eip-2200)
        _status = _NOT_ENTERED;
    }
    uint256[49] private __gap;
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
import "../utils/Context.sol";
/**
 * @dev Contract module which provides a basic access control mechanism, where
 * there is an account (an owner) that can be granted exclusive access to
 * specific functions.
 *
 * By default, the owner account will be the one that deploys the contract. This
 * can later be changed with {transferOwnership}.
 *
 * This module is used through inheritance. It will make available the modifier
 * `onlyOwner`, which can be applied to your functions to restrict their use to
 * the owner.
 */
abstract contract Ownable is Context {
    address private _owner;
    event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);
    /**
     * @dev Initializes the contract setting the deployer as the initial owner.
     */
    constructor () internal {
        address msgSender = _msgSender();
        _owner = msgSender;
        emit OwnershipTransferred(address(0), msgSender);
    }
    /**
     * @dev Returns the address of the current owner.
     */
    function owner() public view virtual returns (address) {
        return _owner;
    }
    /**
     * @dev Throws if called by any account other than the owner.
     */
    modifier onlyOwner() {
        require(owner() == _msgSender(), "Ownable: caller is not the owner");
        _;
    }
    /**
     * @dev Leaves the contract without owner. It will not be possible to call
     * `onlyOwner` functions anymore. Can only be called by the current owner.
     *
     * NOTE: Renouncing ownership will leave the contract without an owner,
     * thereby removing any functionality that is only available to the owner.
     */
    function renounceOwnership() public virtual onlyOwner {
        emit OwnershipTransferred(_owner, address(0));
        _owner = address(0);
    }
    /**
     * @dev Transfers ownership of the contract to a new account (`newOwner`).
     * Can only be called by the current owner.
     */
    function transferOwnership(address newOwner) public virtual onlyOwner {
        require(newOwner != address(0), "Ownable: new owner is the zero address");
        emit OwnershipTransferred(_owner, newOwner);
        _owner = newOwner;
    }
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
/**
 * @dev Wrappers over Solidity's arithmetic operations with added overflow
 * checks.
 *
 * Arithmetic operations in Solidity wrap on overflow. This can easily result
 * in bugs, because programmers usually assume that an overflow raises an
 * error, which is the standard behavior in high level programming languages.
 * `SafeMath` restores this intuition by reverting the transaction when an
 * operation overflows.
 *
 * Using this library instead of the unchecked operations eliminates an entire
 * class of bugs, so it's recommended to use it always.
 */
library SafeMath {
    /**
     * @dev Returns the addition of two unsigned integers, with an overflow flag.
     *
     * _Available since v3.4._
     */
    function tryAdd(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        uint256 c = a + b;
        if (c < a) return (false, 0);
        return (true, c);
    }
    /**
     * @dev Returns the substraction of two unsigned integers, with an overflow flag.
     *
     * _Available since v3.4._
     */
    function trySub(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        if (b > a) return (false, 0);
        return (true, a - b);
    }
    /**
     * @dev Returns the multiplication of two unsigned integers, with an overflow flag.
     *
     * _Available since v3.4._
     */
    function tryMul(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
        // benefit is lost if 'b' is also tested.
        // See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522
        if (a == 0) return (true, 0);
        uint256 c = a * b;
        if (c / a != b) return (false, 0);
        return (true, c);
    }
    /**
     * @dev Returns the division of two unsigned integers, with a division by zero flag.
     *
     * _Available since v3.4._
     */
    function tryDiv(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        if (b == 0) return (false, 0);
        return (true, a / b);
    }
    /**
     * @dev Returns the remainder of dividing two unsigned integers, with a division by zero flag.
     *
     * _Available since v3.4._
     */
    function tryMod(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        if (b == 0) return (false, 0);
        return (true, a % b);
    }
    /**
     * @dev Returns the addition of two unsigned integers, reverting on
     * overflow.
     *
     * Counterpart to Solidity's `+` operator.
     *
     * Requirements:
     *
     * - Addition cannot overflow.
     */
    function add(uint256 a, uint256 b) internal pure returns (uint256) {
        uint256 c = a + b;
        require(c >= a, "SafeMath: addition overflow");
        return c;
    }
    /**
     * @dev Returns the subtraction of two unsigned integers, reverting on
     * overflow (when the result is negative).
     *
     * Counterpart to Solidity's `-` operator.
     *
     * Requirements:
     *
     * - Subtraction cannot overflow.
     */
    function sub(uint256 a, uint256 b) internal pure returns (uint256) {
        require(b <= a, "SafeMath: subtraction overflow");
        return a - b;
    }
    /**
     * @dev Returns the multiplication of two unsigned integers, reverting on
     * overflow.
     *
     * Counterpart to Solidity's `*` operator.
     *
     * Requirements:
     *
     * - Multiplication cannot overflow.
     */
    function mul(uint256 a, uint256 b) internal pure returns (uint256) {
        if (a == 0) return 0;
        uint256 c = a * b;
        require(c / a == b, "SafeMath: multiplication overflow");
        return c;
    }
    /**
     * @dev Returns the integer division of two unsigned integers, reverting on
     * division by zero. The result is rounded towards zero.
     *
     * Counterpart to Solidity's `/` operator. Note: this function uses a
     * `revert` opcode (which leaves remaining gas untouched) while Solidity
     * uses an invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function div(uint256 a, uint256 b) internal pure returns (uint256) {
        require(b > 0, "SafeMath: division by zero");
        return a / b;
    }
    /**
     * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
     * reverting when dividing by zero.
     *
     * Counterpart to Solidity's `%` operator. This function uses a `revert`
     * opcode (which leaves remaining gas untouched) while Solidity uses an
     * invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function mod(uint256 a, uint256 b) internal pure returns (uint256) {
        require(b > 0, "SafeMath: modulo by zero");
        return a % b;
    }
    /**
     * @dev Returns the subtraction of two unsigned integers, reverting with custom message on
     * overflow (when the result is negative).
     *
     * CAUTION: This function is deprecated because it requires allocating memory for the error
     * message unnecessarily. For custom revert reasons use {trySub}.
     *
     * Counterpart to Solidity's `-` operator.
     *
     * Requirements:
     *
     * - Subtraction cannot overflow.
     */
    function sub(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b <= a, errorMessage);
        return a - b;
    }
    /**
     * @dev Returns the integer division of two unsigned integers, reverting with custom message on
     * division by zero. The result is rounded towards zero.
     *
     * CAUTION: This function is deprecated because it requires allocating memory for the error
     * message unnecessarily. For custom revert reasons use {tryDiv}.
     *
     * Counterpart to Solidity's `/` operator. Note: this function uses a
     * `revert` opcode (which leaves remaining gas untouched) while Solidity
     * uses an invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function div(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b > 0, errorMessage);
        return a / b;
    }
    /**
     * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
     * reverting with custom message when dividing by zero.
     *
     * CAUTION: This function is deprecated because it requires allocating memory for the error
     * message unnecessarily. For custom revert reasons use {tryMod}.
     *
     * Counterpart to Solidity's `%` operator. This function uses a `revert`
     * opcode (which leaves remaining gas untouched) while Solidity uses an
     * invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function mod(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b > 0, errorMessage);
        return a % b;
    }
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
import "../../utils/Context.sol";
import "./IERC20.sol";
import "../../math/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 Context, 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_) public {
        _name = name_;
        _symbol = symbol_;
        _decimals = 18;
    }
    /**
     * @dev Returns the name of the token.
     */
    function name() public view virtual returns (string memory) {
        return _name;
    }
    /**
     * @dev Returns the symbol of the token, usually a shorter version of the
     * name.
     */
    function symbol() public view virtual 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 virtual returns (uint8) {
        return _decimals;
    }
    /**
     * @dev See {IERC20-totalSupply}.
     */
    function totalSupply() public view virtual override returns (uint256) {
        return _totalSupply;
    }
    /**
     * @dev See {IERC20-balanceOf}.
     */
    function balanceOf(address account) public view virtual override returns (uint256) {
        return _balances[account];
    }
    /**
     * @dev See {IERC20-transfer}.
     *
     * Requirements:
     *
     * - `recipient` cannot be the zero address.
     * - the caller must have a balance of at least `amount`.
     */
    function transfer(address recipient, uint256 amount) public virtual override returns (bool) {
        _transfer(_msgSender(), recipient, amount);
        return true;
    }
    /**
     * @dev See {IERC20-allowance}.
     */
    function allowance(address owner, address spender) public view virtual override returns (uint256) {
        return _allowances[owner][spender];
    }
    /**
     * @dev See {IERC20-approve}.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     */
    function approve(address spender, uint256 amount) public virtual override returns (bool) {
        _approve(_msgSender(), spender, amount);
        return true;
    }
    /**
     * @dev See {IERC20-transferFrom}.
     *
     * Emits an {Approval} event indicating the updated allowance. This is not
     * required by the EIP. See the note at the beginning of {ERC20}.
     *
     * Requirements:
     *
     * - `sender` and `recipient` cannot be the zero address.
     * - `sender` must have a balance of at least `amount`.
     * - the caller must have allowance for ``sender``'s tokens of at least
     * `amount`.
     */
    function transferFrom(address sender, address recipient, uint256 amount) public virtual override returns (bool) {
        _transfer(sender, recipient, amount);
        _approve(sender, _msgSender(), _allowances[sender][_msgSender()].sub(amount, "ERC20: transfer amount 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(_msgSender(), spender, _allowances[_msgSender()][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(_msgSender(), spender, _allowances[_msgSender()][spender].sub(subtractedValue, "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), "ERC20: transfer from the zero address");
        require(recipient != address(0), "ERC20: transfer to the zero address");
        _beforeTokenTransfer(sender, recipient, amount);
        _balances[sender] = _balances[sender].sub(amount, "ERC20: transfer amount exceeds balance");
        _balances[recipient] = _balances[recipient].add(amount);
        emit Transfer(sender, recipient, amount);
    }
    /** @dev Creates `amount` tokens and assigns them to `account`, increasing
     * the total supply.
     *
     * Emits a {Transfer} event with `from` set to the zero address.
     *
     * Requirements:
     *
     * - `to` cannot be the zero address.
     */
    function _mint(address account, uint256 amount) internal virtual {
        require(account != address(0), "ERC20: mint to the zero address");
        _beforeTokenTransfer(address(0), account, amount);
        _totalSupply = _totalSupply.add(amount);
        _balances[account] = _balances[account].add(amount);
        emit Transfer(address(0), account, amount);
    }
    /**
     * @dev Destroys `amount` tokens from `account`, reducing the
     * total supply.
     *
     * Emits a {Transfer} event with `to` set to the zero address.
     *
     * Requirements:
     *
     * - `account` cannot be the zero address.
     * - `account` must have at least `amount` tokens.
     */
    function _burn(address account, uint256 amount) internal virtual {
        require(account != address(0), "ERC20: burn from the zero address");
        _beforeTokenTransfer(account, address(0), amount);
        _balances[account] = _balances[account].sub(amount, "ERC20: burn amount 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 {
        require(owner != address(0), "ERC20: approve from the zero address");
        require(spender != address(0), "ERC20: approve to the zero address");
        _allowances[owner][spender] = amount;
        emit Approval(owner, spender, amount);
    }
    /**
     * @dev 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 virtual {
        _decimals = decimals_;
    }
    /**
     * @dev Hook that is called before any transfer of tokens. This includes
     * minting and burning.
     *
     * Calling conditions:
     *
     * - when `from` and `to` are both non-zero, `amount` of ``from``'s tokens
     * will be to transferred to `to`.
     * - when `from` is zero, `amount` tokens will be minted for `to`.
     * - when `to` is zero, `amount` of ``from``'s tokens will be burned.
     * - `from` and `to` are never both zero.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _beforeTokenTransfer(address from, address to, uint256 amount) internal virtual { }
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
import "../../utils/Context.sol";
import "./ERC20.sol";
/**
 * @dev Extension of {ERC20} that allows token holders to destroy both their own
 * tokens and those that they have an allowance for, in a way that can be
 * recognized off-chain (via event analysis).
 */
abstract contract ERC20Burnable is Context, ERC20 {
    using SafeMath for uint256;
    /**
     * @dev Destroys `amount` tokens from the caller.
     *
     * See {ERC20-_burn}.
     */
    function burn(uint256 amount) public virtual {
        _burn(_msgSender(), amount);
    }
    /**
     * @dev Destroys `amount` tokens from `account`, deducting from the caller's
     * allowance.
     *
     * See {ERC20-_burn} and {ERC20-allowance}.
     *
     * Requirements:
     *
     * - the caller must have allowance for ``accounts``'s tokens of at least
     * `amount`.
     */
    function burnFrom(address account, uint256 amount) public virtual {
        uint256 decreasedAllowance = allowance(account, _msgSender()).sub(amount, "ERC20: burn amount exceeds allowance");
        _approve(account, _msgSender(), decreasedAllowance);
        _burn(account, amount);
    }
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
/**
 * @dev Interface of the ERC20 standard as defined in the EIP.
 */
interface IERC20 {
    /**
     * @dev Returns the amount of tokens in existence.
     */
    function totalSupply() external view returns (uint256);
    /**
     * @dev Returns the amount of tokens owned by `account`.
     */
    function balanceOf(address account) external view returns (uint256);
    /**
     * @dev Moves `amount` tokens from the caller's account to `recipient`.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * Emits a {Transfer} event.
     */
    function transfer(address recipient, uint256 amount) external returns (bool);
    /**
     * @dev Returns the remaining number of tokens that `spender` will be
     * allowed to spend on behalf of `owner` through {transferFrom}. This is
     * zero by default.
     *
     * This value changes when {approve} or {transferFrom} are called.
     */
    function allowance(address owner, address spender) external view returns (uint256);
    /**
     * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * IMPORTANT: Beware that changing an allowance with this method brings the risk
     * that someone may use both the old and the new allowance by unfortunate
     * transaction ordering. One possible solution to mitigate this race
     * condition is to first reduce the spender's allowance to 0 and set the
     * desired value afterwards:
     * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
     *
     * Emits an {Approval} event.
     */
    function approve(address spender, uint256 amount) external returns (bool);
    /**
     * @dev Moves `amount` tokens from `sender` to `recipient` using the
     * allowance mechanism. `amount` is then deducted from the caller's
     * allowance.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * Emits a {Transfer} event.
     */
    function transferFrom(address sender, address recipient, uint256 amount) external returns (bool);
    /**
     * @dev Emitted when `value` tokens are moved from one account (`from`) to
     * another (`to`).
     *
     * Note that `value` may be zero.
     */
    event Transfer(address indexed from, address indexed to, uint256 value);
    /**
     * @dev Emitted when the allowance of a `spender` for an `owner` is set by
     * a call to {approve}. `value` is the new allowance.
     */
    event Approval(address indexed owner, address indexed spender, uint256 value);
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
import "./IERC20.sol";
import "../../math/SafeMath.sol";
import "../../utils/Address.sol";
/**
 * @title SafeERC20
 * @dev Wrappers around ERC20 operations that throw on failure (when the token
 * contract returns false). Tokens that return no value (and instead revert or
 * throw on failure) are also supported, non-reverting calls are assumed to be
 * successful.
 * To use this library you can add a `using SafeERC20 for IERC20;` statement to your contract,
 * which allows you to call the safe operations as `token.safeTransfer(...)`, etc.
 */
library SafeERC20 {
    using SafeMath for uint256;
    using Address for address;
    function safeTransfer(IERC20 token, address to, uint256 value) internal {
        _callOptionalReturn(token, abi.encodeWithSelector(token.transfer.selector, to, value));
    }
    function safeTransferFrom(IERC20 token, address from, address to, uint256 value) internal {
        _callOptionalReturn(token, abi.encodeWithSelector(token.transferFrom.selector, from, to, value));
    }
    /**
     * @dev Deprecated. This function has issues similar to the ones found in
     * {IERC20-approve}, and its usage is discouraged.
     *
     * Whenever possible, use {safeIncreaseAllowance} and
     * {safeDecreaseAllowance} instead.
     */
    function safeApprove(IERC20 token, address spender, uint256 value) internal {
        // safeApprove should only be called when setting an initial allowance,
        // or when resetting it to zero. To increase and decrease it, use
        // 'safeIncreaseAllowance' and 'safeDecreaseAllowance'
        // solhint-disable-next-line max-line-length
        require((value == 0) || (token.allowance(address(this), spender) == 0),
            "SafeERC20: approve from non-zero to non-zero allowance"
        );
        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, value));
    }
    function safeIncreaseAllowance(IERC20 token, address spender, uint256 value) internal {
        uint256 newAllowance = token.allowance(address(this), spender).add(value);
        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, newAllowance));
    }
    function safeDecreaseAllowance(IERC20 token, address spender, uint256 value) internal {
        uint256 newAllowance = token.allowance(address(this), spender).sub(value, "SafeERC20: decreased allowance below zero");
        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, newAllowance));
    }
    /**
     * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement
     * on the return value: the return value is optional (but if data is returned, it must not be false).
     * @param token The token targeted by the call.
     * @param data The call data (encoded using abi.encode or one of its variants).
     */
    function _callOptionalReturn(IERC20 token, bytes memory data) private {
        // We need to perform a low level call here, to bypass Solidity's return data size checking mechanism, since
        // we're implementing it ourselves. We use {Address.functionCall} to perform this call, which verifies that
        // the target address contains contract code and also asserts for success in the low-level call.
        bytes memory returndata = address(token).functionCall(data, "SafeERC20: low-level call failed");
        if (returndata.length > 0) { // Return data is optional
            // solhint-disable-next-line max-line-length
            require(abi.decode(returndata, (bool)), "SafeERC20: ERC20 operation did not succeed");
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.2 <0.8.0;
/**
 * @dev Collection of functions related to the address type
 */
library Address {
    /**
     * @dev Returns true if `account` is a contract.
     *
     * [IMPORTANT]
     * ====
     * It is unsafe to assume that an address for which this function returns
     * false is an externally-owned account (EOA) and not a contract.
     *
     * Among others, `isContract` will return false for the following
     * types of addresses:
     *
     *  - an externally-owned account
     *  - a contract in construction
     *  - an address where a contract will be created
     *  - an address where a contract lived, but was destroyed
     * ====
     */
    function isContract(address account) internal view returns (bool) {
        // This method relies on extcodesize, which returns 0 for contracts in
        // construction, since the code is only stored at the end of the
        // constructor execution.
        uint256 size;
        // solhint-disable-next-line no-inline-assembly
        assembly { size := extcodesize(account) }
        return size > 0;
    }
    /**
     * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
     * `recipient`, forwarding all available gas and reverting on errors.
     *
     * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
     * of certain opcodes, possibly making contracts go over the 2300 gas limit
     * imposed by `transfer`, making them unable to receive funds via
     * `transfer`. {sendValue} removes this limitation.
     *
     * https://diligence.consensys.net/posts/2019/09/stop-using-soliditys-transfer-now/[Learn more].
     *
     * IMPORTANT: because control is transferred to `recipient`, care must be
     * taken to not create reentrancy vulnerabilities. Consider using
     * {ReentrancyGuard} or the
     * https://solidity.readthedocs.io/en/v0.5.11/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
     */
    function sendValue(address payable recipient, uint256 amount) internal {
        require(address(this).balance >= amount, "Address: insufficient balance");
        // solhint-disable-next-line avoid-low-level-calls, avoid-call-value
        (bool success, ) = recipient.call{ value: amount }("");
        require(success, "Address: unable to send value, recipient may have reverted");
    }
    /**
     * @dev Performs a Solidity function call using a low level `call`. A
     * plain`call` is an unsafe replacement for a function call: use this
     * function instead.
     *
     * If `target` reverts with a revert reason, it is bubbled up by this
     * function (like regular Solidity function calls).
     *
     * Returns the raw returned data. To convert to the expected return value,
     * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
     *
     * Requirements:
     *
     * - `target` must be a contract.
     * - calling `target` with `data` must not revert.
     *
     * _Available since v3.1._
     */
    function functionCall(address target, bytes memory data) internal returns (bytes memory) {
      return functionCall(target, data, "Address: low-level call failed");
    }
    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
     * `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCall(address target, bytes memory data, string memory errorMessage) internal returns (bytes memory) {
        return functionCallWithValue(target, data, 0, errorMessage);
    }
    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but also transferring `value` wei to `target`.
     *
     * Requirements:
     *
     * - the calling contract must have an ETH balance of at least `value`.
     * - the called Solidity function must be `payable`.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(address target, bytes memory data, uint256 value) internal returns (bytes memory) {
        return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
    }
    /**
     * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
     * with `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(address target, bytes memory data, uint256 value, string memory errorMessage) internal returns (bytes memory) {
        require(address(this).balance >= value, "Address: insufficient balance for call");
        require(isContract(target), "Address: call to non-contract");
        // solhint-disable-next-line avoid-low-level-calls
        (bool success, bytes memory returndata) = target.call{ value: value }(data);
        return _verifyCallResult(success, returndata, errorMessage);
    }
    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
        return functionStaticCall(target, data, "Address: low-level static call failed");
    }
    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(address target, bytes memory data, string memory errorMessage) internal view returns (bytes memory) {
        require(isContract(target), "Address: static call to non-contract");
        // solhint-disable-next-line avoid-low-level-calls
        (bool success, bytes memory returndata) = target.staticcall(data);
        return _verifyCallResult(success, returndata, errorMessage);
    }
    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a delegate call.
     *
     * _Available since v3.4._
     */
    function functionDelegateCall(address target, bytes memory data) internal returns (bytes memory) {
        return functionDelegateCall(target, data, "Address: low-level delegate call failed");
    }
    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a delegate call.
     *
     * _Available since v3.4._
     */
    function functionDelegateCall(address target, bytes memory data, string memory errorMessage) internal returns (bytes memory) {
        require(isContract(target), "Address: delegate call to non-contract");
        // solhint-disable-next-line avoid-low-level-calls
        (bool success, bytes memory returndata) = target.delegatecall(data);
        return _verifyCallResult(success, returndata, errorMessage);
    }
    function _verifyCallResult(bool success, bytes memory returndata, string memory errorMessage) private pure returns(bytes memory) {
        if (success) {
            return returndata;
        } else {
            // Look for revert reason and bubble it up if present
            if (returndata.length > 0) {
                // The easiest way to bubble the revert reason is using memory via assembly
                // solhint-disable-next-line no-inline-assembly
                assembly {
                    let returndata_size := mload(returndata)
                    revert(add(32, returndata), returndata_size)
                }
            } else {
                revert(errorMessage);
            }
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
/*
 * @dev Provides information about the current execution context, including the
 * sender of the transaction and its data. While these are generally available
 * via msg.sender and msg.data, they should not be accessed in such a direct
 * manner, since when dealing with GSN meta-transactions the account sending and
 * paying for execution may not be the actual sender (as far as an application
 * is concerned).
 *
 * This contract is only required for intermediate, library-like contracts.
 */
abstract contract Context {
    function _msgSender() internal view virtual returns (address payable) {
        return msg.sender;
    }
    function _msgData() internal view virtual returns (bytes memory) {
        this; // silence state mutability warning without generating bytecode - see https://github.com/ethereum/solidity/issues/2691
        return msg.data;
    }
}
// SPDX-License-Identifier: MIT
pragma solidity 0.6.12;
import "@openzeppelin/contracts/token/ERC20/ERC20Burnable.sol";
import "@openzeppelin/contracts/access/Ownable.sol";
import "@openzeppelin/contracts/math/SafeMath.sol";
import "./interfaces/ISwap.sol";
/**
 * @title Liquidity Provider Token
 * @notice This token is an ERC20 detailed token with added capability to be minted by the owner.
 * It is used to represent user's shares when providing liquidity to swap contracts.
 */
contract LPToken is ERC20Burnable, Ownable {
    using SafeMath for uint256;
    // Address of the swap contract that owns this LP token. When a user adds liquidity to the swap contract,
    // they receive a proportionate amount of this LPToken.
    ISwap public swap;
    /**
     * @notice Deploys LPToken contract with given name, symbol, and decimals
     * @dev the caller of this constructor will become the owner of this contract
     * @param name_ name of this token
     * @param symbol_ symbol of this token
     * @param decimals_ number of decimals this token will be based on
     */
    constructor(
        string memory name_,
        string memory symbol_,
        uint8 decimals_
    ) public ERC20(name_, symbol_) {
        _setupDecimals(decimals_);
        swap = ISwap(_msgSender());
    }
    /**
     * @notice Mints the given amount of LPToken to the recipient.
     * @dev only owner can call this mint function
     * @param recipient address of account to receive the tokens
     * @param amount amount of tokens to mint
     */
    function mint(address recipient, uint256 amount) external onlyOwner {
        require(amount != 0, "amount == 0");
        _mint(recipient, amount);
    }
    /**
     * @dev Overrides ERC20._beforeTokenTransfer() which get called on every transfers including
     * minting and burning. This ensures that swap.updateUserWithdrawFees are called everytime.
     */
    function _beforeTokenTransfer(
        address from,
        address to,
        uint256 amount
    ) internal override(ERC20) {
        super._beforeTokenTransfer(from, to, amount);
        swap.updateUserWithdrawFee(to, amount);
    }
}
// SPDX-License-Identifier: MIT
pragma solidity 0.6.12;
import "@openzeppelin/contracts/math/SafeMath.sol";
/**
 * @title MathUtils library
 * @notice A library to be used in conjunction with SafeMath. Contains functions for calculating
 * differences between two uint256.
 */
library MathUtils {
    /**
     * @notice Compares a and b and returns true if the difference between a and b
     *         is less than 1 or equal to each other.
     * @param a uint256 to compare with
     * @param b uint256 to compare with
     * @return True if the difference between a and b is less than 1 or equal,
     *         otherwise return false
     */
    function within1(uint256 a, uint256 b) external pure returns (bool) {
        return (_difference(a, b) <= 1);
    }
    /**
     * @notice Calculates absolute difference between a and b
     * @param a uint256 to compare with
     * @param b uint256 to compare with
     * @return Difference between a and b
     */
    function difference(uint256 a, uint256 b) external pure returns (uint256) {
        return _difference(a, b);
    }
    /**
     * @notice Calculates absolute difference between a and b
     * @param a uint256 to compare with
     * @param b uint256 to compare with
     * @return Difference between a and b
     */
    function _difference(uint256 a, uint256 b) internal pure returns (uint256) {
        if (a > b) {
            return a - b;
        }
        return b - a;
    }
}
// SPDX-License-Identifier: MIT
pragma solidity 0.6.12;
import "@openzeppelin/contracts-upgradeable/access/OwnableUpgradeable.sol";
import "@openzeppelin/contracts-upgradeable/utils/PausableUpgradeable.sol";
/**
 * @title OwnerPausable
 * @notice An ownable contract allows the owner to pause and unpause the
 * contract without a delay.
 * @dev Only methods using the provided modifiers will be paused.
 */
abstract contract OwnerPausableUpgradeable is
    OwnableUpgradeable,
    PausableUpgradeable
{
    function __OwnerPausable_init() internal initializer {
        __Context_init_unchained();
        __Ownable_init_unchained();
        __Pausable_init_unchained();
    }
    /**
     * @notice Pause the contract. Revert if already paused.
     */
    function pause() external onlyOwner {
        PausableUpgradeable._pause();
    }
    /**
     * @notice Unpause the contract. Revert if already unpaused.
     */
    function unpause() external onlyOwner {
        PausableUpgradeable._unpause();
    }
}
// SPDX-License-Identifier: MIT
pragma solidity 0.6.12;
import "@openzeppelin/contracts/math/SafeMath.sol";
import "@openzeppelin/contracts/token/ERC20/SafeERC20.sol";
import "@openzeppelin/contracts-upgradeable/utils/ReentrancyGuardUpgradeable.sol";
import "./OwnerPausableUpgradeable.sol";
import "./SwapUtils.sol";
import "./MathUtils.sol";
/**
 * @title Swap - A StableSwap implementation in solidity.
 * @notice This contract is responsible for custody of closely pegged assets (eg. group of stablecoins)
 * and automatic market making system. Users become an LP (Liquidity Provider) by depositing their tokens
 * in desired ratios for an exchange of the pool token that represents their share of the pool.
 * Users can burn pool tokens and withdraw their share of token(s).
 *
 * Each time a swap between the pooled tokens happens, a set fee incurs which effectively gets
 * distributed to the LPs.
 *
 * In case of emergencies, admin can pause additional deposits, swaps, or single-asset withdraws - which
 * stops the ratio of the tokens in the pool from changing.
 * Users can always withdraw their tokens via multi-asset withdraws.
 *
 * @dev Most of the logic is stored as a library `SwapUtils` for the sake of reducing contract's
 * deployment size.
 */
contract Swap is OwnerPausableUpgradeable, ReentrancyGuardUpgradeable {
    using SafeERC20 for IERC20;
    using SafeMath for uint256;
    using MathUtils for uint256;
    using SwapUtils for SwapUtils.Swap;
    // Struct storing data responsible for automatic market maker functionalities. In order to
    // access this data, this contract uses SwapUtils library. For more details, see SwapUtils.sol
    SwapUtils.Swap public swapStorage;
    // True if the contract is initialized.
    bool private initialized = false;
    // Maps token address to an index in the pool. Used to prevent duplicate tokens in the pool.
    // getTokenIndex function also relies on this mapping to retrieve token index.
    mapping(address => uint8) private tokenIndexes;
    /*** EVENTS ***/
    // events replicated from SwapUtils to make the ABI easier for dumb
    // clients
    event TokenSwap(
        address indexed buyer,
        uint256 tokensSold,
        uint256 tokensBought,
        uint128 soldId,
        uint128 boughtId
    );
    event AddLiquidity(
        address indexed provider,
        uint256[] tokenAmounts,
        uint256[] fees,
        uint256 invariant,
        uint256 lpTokenSupply
    );
    event RemoveLiquidity(
        address indexed provider,
        uint256[] tokenAmounts,
        uint256 lpTokenSupply
    );
    event RemoveLiquidityOne(
        address indexed provider,
        uint256 lpTokenAmount,
        uint256 lpTokenSupply,
        uint256 boughtId,
        uint256 tokensBought
    );
    event RemoveLiquidityImbalance(
        address indexed provider,
        uint256[] tokenAmounts,
        uint256[] fees,
        uint256 invariant,
        uint256 lpTokenSupply
    );
    event NewAdminFee(uint256 newAdminFee);
    event NewSwapFee(uint256 newSwapFee);
    event NewWithdrawFee(uint256 newWithdrawFee);
    event RampA(
        uint256 oldA,
        uint256 newA,
        uint256 initialTime,
        uint256 futureTime
    );
    event StopRampA(uint256 currentA, uint256 time);
    /**
     * @notice Initializes this Swap contract with the given parameters.
     * This will also deploy the LPToken that represents users
     * LP position. The owner of LPToken will be this contract - which means
     * only this contract is allowed to mint new tokens.
     *
     * @param _pooledTokens an array of ERC20s this pool will accept
     * @param decimals the decimals to use for each pooled token,
     * eg 8 for WBTC. Cannot be larger than POOL_PRECISION_DECIMALS
     * @param lpTokenName the long-form name of the token to be deployed
     * @param lpTokenSymbol the short symbol for the token to be deployed
     * @param _a the amplification coefficient * n * (n - 1). See the
     * StableSwap paper for details
     * @param _fee default swap fee to be initialized with
     * @param _adminFee default adminFee to be initialized with
     * @param _withdrawFee default withdrawFee to be initialized with
     */
    function initialize(
        IERC20[] memory _pooledTokens,
        uint8[] memory decimals,
        string memory lpTokenName,
        string memory lpTokenSymbol,
        uint256 _a,
        uint256 _fee,
        uint256 _adminFee,
        uint256 _withdrawFee
    ) public virtual initializer {
        __OwnerPausable_init();
        __ReentrancyGuard_init();
        // Check _pooledTokens and precisions parameter
        require(_pooledTokens.length > 1, "_pooledTokens.length <= 1");
        require(_pooledTokens.length <= 32, "_pooledTokens.length > 32");
        require(
            _pooledTokens.length == decimals.length,
            "_pooledTokens decimals mismatch"
        );
        uint256[] memory precisionMultipliers = new uint256[](decimals.length);
        for (uint8 i = 0; i < _pooledTokens.length; i++) {
            if (i > 0) {
                // Check if index is already used. Check if 0th element is a duplicate.
                require(
                    tokenIndexes[address(_pooledTokens[i])] == 0 &&
                        _pooledTokens[0] != _pooledTokens[i],
                    "Duplicate tokens"
                );
            }
            require(
                address(_pooledTokens[i]) != address(0),
                "The 0 address isn't an ERC-20"
            );
            require(
                decimals[i] <= SwapUtils.POOL_PRECISION_DECIMALS,
                "Token decimals exceeds max"
            );
            precisionMultipliers[i] =
                10 **
                    uint256(SwapUtils.POOL_PRECISION_DECIMALS).sub(
                        uint256(decimals[i])
                    );
            tokenIndexes[address(_pooledTokens[i])] = i;
        }
        // Check _a, _fee, _adminFee, _withdrawFee parameters
        require(_a < SwapUtils.MAX_A, "_a exceeds maximum");
        require(_fee < SwapUtils.MAX_SWAP_FEE, "_fee exceeds maximum");
        require(
            _adminFee < SwapUtils.MAX_ADMIN_FEE,
            "_adminFee exceeds maximum"
        );
        require(
            _withdrawFee < SwapUtils.MAX_WITHDRAW_FEE,
            "_withdrawFee exceeds maximum"
        );
        // Initialize swapStorage struct
        swapStorage.lpToken = new LPToken(
            lpTokenName,
            lpTokenSymbol,
            SwapUtils.POOL_PRECISION_DECIMALS
        );
        swapStorage.pooledTokens = _pooledTokens;
        swapStorage.tokenPrecisionMultipliers = precisionMultipliers;
        swapStorage.balances = new uint256[](_pooledTokens.length);
        swapStorage.initialA = _a.mul(SwapUtils.A_PRECISION);
        swapStorage.futureA = _a.mul(SwapUtils.A_PRECISION);
        swapStorage.initialATime = 0;
        swapStorage.futureATime = 0;
        swapStorage.swapFee = _fee;
        swapStorage.adminFee = _adminFee;
        swapStorage.defaultWithdrawFee = _withdrawFee;
    }
    /*** MODIFIERS ***/
    /**
     * @notice Modifier to check deadline against current timestamp
     * @param deadline latest timestamp to accept this transaction
     */
    modifier deadlineCheck(uint256 deadline) {
        require(block.timestamp <= deadline, "Deadline not met");
        _;
    }
    /*** VIEW FUNCTIONS ***/
    /**
     * @notice Return A, the amplification coefficient * n * (n - 1)
     * @dev See the StableSwap paper for details
     * @return A parameter
     */
    function getA() external view returns (uint256) {
        return swapStorage.getA();
    }
    /**
     * @notice Return A in its raw precision form
     * @dev See the StableSwap paper for details
     * @return A parameter in its raw precision form
     */
    function getAPrecise() external view returns (uint256) {
        return swapStorage.getAPrecise();
    }
    /**
     * @notice Return address of the pooled token at given index. Reverts if tokenIndex is out of range.
     * @param index the index of the token
     * @return address of the token at given index
     */
    function getToken(uint8 index) public view returns (IERC20) {
        require(index < swapStorage.pooledTokens.length, "Out of range");
        return swapStorage.pooledTokens[index];
    }
    /**
     * @notice Return the index of the given token address. Reverts if no matching
     * token is found.
     * @param tokenAddress address of the token
     * @return the index of the given token address
     */
    function getTokenIndex(address tokenAddress) public view returns (uint8) {
        uint8 index = tokenIndexes[tokenAddress];
        require(
            address(getToken(index)) == tokenAddress,
            "Token does not exist"
        );
        return index;
    }
    /**
     * @notice Return timestamp of last deposit of given address
     * @return timestamp of the last deposit made by the given address
     */
    function getDepositTimestamp(address user) external view returns (uint256) {
        return swapStorage.getDepositTimestamp(user);
    }
    /**
     * @notice Return current balance of the pooled token at given index
     * @param index the index of the token
     * @return current balance of the pooled token at given index with token's native precision
     */
    function getTokenBalance(uint8 index) external view returns (uint256) {
        require(index < swapStorage.pooledTokens.length, "Index out of range");
        return swapStorage.balances[index];
    }
    /**
     * @notice Get the virtual price, to help calculate profit
     * @return the virtual price, scaled to the POOL_PRECISION_DECIMALS
     */
    function getVirtualPrice() external view returns (uint256) {
        return swapStorage.getVirtualPrice();
    }
    /**
     * @notice Calculate amount of tokens you receive on swap
     * @param tokenIndexFrom the token the user wants to sell
     * @param tokenIndexTo the token the user wants to buy
     * @param dx the amount of tokens the user wants to sell. If the token charges
     * a fee on transfers, use the amount that gets transferred after the fee.
     * @return amount of tokens the user will receive
     */
    function calculateSwap(
        uint8 tokenIndexFrom,
        uint8 tokenIndexTo,
        uint256 dx
    ) external view returns (uint256) {
        return swapStorage.calculateSwap(tokenIndexFrom, tokenIndexTo, dx);
    }
    /**
     * @notice A simple method to calculate prices from deposits or
     * withdrawals, excluding fees but including slippage. This is
     * helpful as an input into the various "min" parameters on calls
     * to fight front-running
     *
     * @dev This shouldn't be used outside frontends for user estimates.
     *
     * @param account address that is depositing or withdrawing tokens
     * @param amounts an array of token amounts to deposit or withdrawal,
     * corresponding to pooledTokens. The amount should be in each
     * pooled token's native precision. If a token charges a fee on transfers,
     * use the amount that gets transferred after the fee.
     * @param deposit whether this is a deposit or a withdrawal
     * @return token amount the user will receive
     */
    function calculateTokenAmount(
        address account,
        uint256[] calldata amounts,
        bool deposit
    ) external view returns (uint256) {
        return swapStorage.calculateTokenAmount(account, amounts, deposit);
    }
    /**
     * @notice A simple method to calculate amount of each underlying
     * tokens that is returned upon burning given amount of LP tokens
     * @param account the address that is withdrawing tokens
     * @param amount the amount of LP tokens that would be burned on withdrawal
     * @return array of token balances that the user will receive
     */
    function calculateRemoveLiquidity(address account, uint256 amount)
        external
        view
        returns (uint256[] memory)
    {
        return swapStorage.calculateRemoveLiquidity(account, amount);
    }
    /**
     * @notice Calculate the amount of underlying token available to withdraw
     * when withdrawing via only single token
     * @param account the address that is withdrawing tokens
     * @param tokenAmount the amount of LP token to burn
     * @param tokenIndex index of which token will be withdrawn
     * @return availableTokenAmount calculated amount of underlying token
     * available to withdraw
     */
    function calculateRemoveLiquidityOneToken(
        address account,
        uint256 tokenAmount,
        uint8 tokenIndex
    ) external view returns (uint256 availableTokenAmount) {
        (availableTokenAmount, ) = swapStorage.calculateWithdrawOneToken(
            account,
            tokenAmount,
            tokenIndex
        );
    }
    /**
     * @notice Calculate the fee that is applied when the given user withdraws. The withdraw fee
     * decays linearly over period of 4 weeks. For example, depositing and withdrawing right away
     * will charge you the full amount of withdraw fee. But withdrawing after 4 weeks will charge you
     * no additional fees.
     * @dev returned value should be divided by FEE_DENOMINATOR to convert to correct decimals
     * @param user address you want to calculate withdraw fee of
     * @return current withdraw fee of the user
     */
    function calculateCurrentWithdrawFee(address user)
        external
        view
        returns (uint256)
    {
        return swapStorage.calculateCurrentWithdrawFee(user);
    }
    /**
     * @notice This function reads the accumulated amount of admin fees of the token with given index
     * @param index Index of the pooled token
     * @return admin's token balance in the token's precision
     */
    function getAdminBalance(uint256 index) external view returns (uint256) {
        return swapStorage.getAdminBalance(index);
    }
    /*** STATE MODIFYING FUNCTIONS ***/
    /**
     * @notice Swap two tokens using this pool
     * @param tokenIndexFrom the token the user wants to swap from
     * @param tokenIndexTo the token the user wants to swap to
     * @param dx the amount of tokens the user wants to swap from
     * @param minDy the min amount the user would like to receive, or revert.
     * @param deadline latest timestamp to accept this transaction
     */
    function swap(
        uint8 tokenIndexFrom,
        uint8 tokenIndexTo,
        uint256 dx,
        uint256 minDy,
        uint256 deadline
    )
        external
        nonReentrant
        whenNotPaused
        deadlineCheck(deadline)
        returns (uint256)
    {
        return swapStorage.swap(tokenIndexFrom, tokenIndexTo, dx, minDy);
    }
    /**
     * @notice Add liquidity to the pool with the given amounts of tokens
     * @param amounts the amounts of each token to add, in their native precision
     * @param minToMint the minimum LP tokens adding this amount of liquidity
     * should mint, otherwise revert. Handy for front-running mitigation
     * @param deadline latest timestamp to accept this transaction
     * @return amount of LP token user minted and received
     */
    function addLiquidity(
        uint256[] calldata amounts,
        uint256 minToMint,
        uint256 deadline
    )
        external
        nonReentrant
        whenNotPaused
        deadlineCheck(deadline)
        returns (uint256)
    {
        return swapStorage.addLiquidity(amounts, minToMint);
    }
    /**
     * @notice Burn LP tokens to remove liquidity from the pool. Withdraw fee that decays linearly
     * over period of 4 weeks since last deposit will apply.
     * @dev Liquidity can always be removed, even when the pool is paused.
     * @param amount the amount of LP tokens to burn
     * @param minAmounts the minimum amounts of each token in the pool
     *        acceptable for this burn. Useful as a front-running mitigation
     * @param deadline latest timestamp to accept this transaction
     * @return amounts of tokens user received
     */
    function removeLiquidity(
        uint256 amount,
        uint256[] calldata minAmounts,
        uint256 deadline
    ) external nonReentrant deadlineCheck(deadline) returns (uint256[] memory) {
        return swapStorage.removeLiquidity(amount, minAmounts);
    }
    /**
     * @notice Remove liquidity from the pool all in one token. Withdraw fee that decays linearly
     * over period of 4 weeks since last deposit will apply.
     * @param tokenAmount the amount of the token you want to receive
     * @param tokenIndex the index of the token you want to receive
     * @param minAmount the minimum amount to withdraw, otherwise revert
     * @param deadline latest timestamp to accept this transaction
     * @return amount of chosen token user received
     */
    function removeLiquidityOneToken(
        uint256 tokenAmount,
        uint8 tokenIndex,
        uint256 minAmount,
        uint256 deadline
    )
        external
        nonReentrant
        whenNotPaused
        deadlineCheck(deadline)
        returns (uint256)
    {
        return
            swapStorage.removeLiquidityOneToken(
                tokenAmount,
                tokenIndex,
                minAmount
            );
    }
    /**
     * @notice Remove liquidity from the pool, weighted differently than the
     * pool's current balances. Withdraw fee that decays linearly
     * over period of 4 weeks since last deposit will apply.
     * @param amounts how much of each token to withdraw
     * @param maxBurnAmount the max LP token provider is willing to pay to
     * remove liquidity. Useful as a front-running mitigation.
     * @param deadline latest timestamp to accept this transaction
     * @return amount of LP tokens burned
     */
    function removeLiquidityImbalance(
        uint256[] calldata amounts,
        uint256 maxBurnAmount,
        uint256 deadline
    )
        external
        nonReentrant
        whenNotPaused
        deadlineCheck(deadline)
        returns (uint256)
    {
        return swapStorage.removeLiquidityImbalance(amounts, maxBurnAmount);
    }
    /*** ADMIN FUNCTIONS ***/
    /**
     * @notice Updates the user withdraw fee. This function can only be called by
     * the pool token. Should be used to update the withdraw fee on transfer of pool tokens.
     * Transferring your pool token will reset the 4 weeks period. If the recipient is already
     * holding some pool tokens, the withdraw fee will be discounted in respective amounts.
     * @param recipient address of the recipient of pool token
     * @param transferAmount amount of pool token to transfer
     */
    function updateUserWithdrawFee(address recipient, uint256 transferAmount)
        external
    {
        require(
            msg.sender == address(swapStorage.lpToken),
            "Only callable by pool token"
        );
        swapStorage.updateUserWithdrawFee(recipient, transferAmount);
    }
    /**
     * @notice Withdraw all admin fees to the contract owner
     */
    function withdrawAdminFees() external onlyOwner {
        swapStorage.withdrawAdminFees(owner());
    }
    /**
     * @notice Update the admin fee. Admin fee takes portion of the swap fee.
     * @param newAdminFee new admin fee to be applied on future transactions
     */
    function setAdminFee(uint256 newAdminFee) external onlyOwner {
        swapStorage.setAdminFee(newAdminFee);
    }
    /**
     * @notice Update the swap fee to be applied on swaps
     * @param newSwapFee new swap fee to be applied on future transactions
     */
    function setSwapFee(uint256 newSwapFee) external onlyOwner {
        swapStorage.setSwapFee(newSwapFee);
    }
    /**
     * @notice Update the withdraw fee. This fee decays linearly over 4 weeks since
     * user's last deposit.
     * @param newWithdrawFee new withdraw fee to be applied on future deposits
     */
    function setDefaultWithdrawFee(uint256 newWithdrawFee) external onlyOwner {
        swapStorage.setDefaultWithdrawFee(newWithdrawFee);
    }
    /**
     * @notice Start ramping up or down A parameter towards given futureA and futureTime
     * Checks if the change is too rapid, and commits the new A value only when it falls under
     * the limit range.
     * @param futureA the new A to ramp towards
     * @param futureTime timestamp when the new A should be reached
     */
    function rampA(uint256 futureA, uint256 futureTime) external onlyOwner {
        swapStorage.rampA(futureA, futureTime);
    }
    /**
     * @notice Stop ramping A immediately. Reverts if ramp A is already stopped.
     */
    function stopRampA() external onlyOwner {
        swapStorage.stopRampA();
    }
}
// SPDX-License-Identifier: MIT WITH AGPL-3.0-only
pragma solidity 0.6.12;
import "./Swap.sol";
import "./interfaces/IFlashLoanReceiver.sol";
/**
 * @title Swap - A StableSwap implementation in solidity.
 * @notice This contract is responsible for custody of closely pegged assets (eg. group of stablecoins)
 * and automatic market making system. Users become an LP (Liquidity Provider) by depositing their tokens
 * in desired ratios for an exchange of the pool token that represents their share of the pool.
 * Users can burn pool tokens and withdraw their share of token(s).
 *
 * Each time a swap between the pooled tokens happens, a set fee incurs which effectively gets
 * distributed to the LPs.
 *
 * In case of emergencies, admin can pause additional deposits, swaps, or single-asset withdraws - which
 * stops the ratio of the tokens in the pool from changing.
 * Users can always withdraw their tokens via multi-asset withdraws.
 *
 * @dev Most of the logic is stored as a library `SwapUtils` for the sake of reducing contract's
 * deployment size.
 */
contract SwapFlashLoan is Swap {
    // Total fee that is charged on all flashloans in BPS. Borrowers must repay the amount plus the flash loan fee.
    // This fee is split between the protocol and the pool.
    uint256 public flashLoanFeeBPS;
    // Share of the flash loan fee that goes to the protocol in BPS. A portion of each flash loan fee is allocated
    // to the protocol rather than the pool.
    uint256 public protocolFeeShareBPS;
    // Max BPS for limiting flash loan fee settings.
    uint256 public constant MAX_BPS = 10000;
    /*** EVENTS ***/
    event FlashLoan(
        address indexed receiver,
        uint8 tokenIndex,
        uint256 amount,
        uint256 amountFee,
        uint256 protocolFee
    );
    /**
     * @notice Initializes this Swap contract with the given parameters.
     * This will also deploy the LPToken that represents users
     * LP position. The owner of LPToken will be this contract - which means
     * only this contract is allowed to mint new tokens.
     *
     * @param _pooledTokens an array of ERC20s this pool will accept
     * @param decimals the decimals to use for each pooled token,
     * eg 8 for WBTC. Cannot be larger than POOL_PRECISION_DECIMALS
     * @param lpTokenName the long-form name of the token to be deployed
     * @param lpTokenSymbol the short symbol for the token to be deployed
     * @param _a the amplification coefficient * n * (n - 1). See the
     * StableSwap paper for details
     * @param _fee default swap fee to be initialized with
     * @param _adminFee default adminFee to be initialized with
     * @param _withdrawFee default withdrawFee to be initialized with
     */
    function initialize(
        IERC20[] memory _pooledTokens,
        uint8[] memory decimals,
        string memory lpTokenName,
        string memory lpTokenSymbol,
        uint256 _a,
        uint256 _fee,
        uint256 _adminFee,
        uint256 _withdrawFee
    ) public virtual override initializer {
        Swap.initialize(
            _pooledTokens,
            decimals,
            lpTokenName,
            lpTokenSymbol,
            _a,
            _fee,
            _adminFee,
            _withdrawFee
        );
        flashLoanFeeBPS = 8; // 8 bps
        protocolFeeShareBPS = 0; // 0 bps
    }
    /*** STATE MODIFYING FUNCTIONS ***/
    /**
     * @notice Borrow the specified token from this pool for this transaction only. This function will call
     * `IFlashLoanReceiver(receiver).executeOperation` and the `receiver` must return the full amount of the token
     * and the associated fee by the end of the callback transaction. If the conditions are not met, this call
     * is reverted.
     * @param receiver the address of the receiver of the token. This address must implement the IFlashLoanReceiver
     * interface and the callback function `executeOperation`.
     * @param token the protocol fee in bps to be applied on the total flash loan fee
     * @param amount the total amount to borrow in this transaction
     * @param params optional data to pass along to the callback function
     */
    function flashLoan(
        address receiver,
        IERC20 token,
        uint256 amount,
        bytes memory params
    ) external nonReentrant {
        uint8 tokenIndex = getTokenIndex(address(token));
        uint256 availableLiquidityBefore = token.balanceOf(address(this));
        uint256 protocolBalanceBefore =
            availableLiquidityBefore.sub(swapStorage.balances[tokenIndex]);
        require(
            amount > 0 && availableLiquidityBefore >= amount,
            "invalid amount"
        );
        // Calculate the additional amount of tokens the pool should end up with
        uint256 amountFee = amount.mul(flashLoanFeeBPS).div(10000);
        // Calculate the portion of the fee that will go to the protocol
        uint256 protocolFee = amountFee.mul(protocolFeeShareBPS).div(10000);
        require(amountFee > 0, "amount is small for a flashLoan");
        // Transfer the requested amount of tokens
        token.safeTransfer(receiver, amount);
        // Execute callback function on receiver
        IFlashLoanReceiver(receiver).executeOperation(
            address(this),
            address(token),
            amount,
            amountFee,
            params
        );
        uint256 availableLiquidityAfter = token.balanceOf(address(this));
        require(
            availableLiquidityAfter >= availableLiquidityBefore.add(amountFee),
            "flashLoan fee is not met"
        );
        swapStorage.balances[tokenIndex] = availableLiquidityAfter
            .sub(protocolBalanceBefore)
            .sub(protocolFee);
        emit FlashLoan(receiver, tokenIndex, amount, amountFee, protocolFee);
    }
    /*** ADMIN FUNCTIONS ***/
    /**
     * @notice Updates the flash loan fee parameters. This function can only be called by the owner.
     * @param newFlashLoanFeeBPS the total fee in bps to be applied on future flash loans
     * @param newProtocolFeeShareBPS the protocol fee in bps to be applied on the total flash loan fee
     */
    function setFlashLoanFees(
        uint256 newFlashLoanFeeBPS,
        uint256 newProtocolFeeShareBPS
    ) external onlyOwner {
        require(
            newFlashLoanFeeBPS > 0 &&
                newFlashLoanFeeBPS <= MAX_BPS &&
                newProtocolFeeShareBPS <= MAX_BPS,
            "fees are not in valid range"
        );
        flashLoanFeeBPS = newFlashLoanFeeBPS;
        protocolFeeShareBPS = newProtocolFeeShareBPS;
    }
}
// SPDX-License-Identifier: MIT
pragma solidity 0.6.12;
import "@openzeppelin/contracts/math/SafeMath.sol";
import "@openzeppelin/contracts/token/ERC20/SafeERC20.sol";
import "./LPToken.sol";
import "./MathUtils.sol";
/**
 * @title SwapUtils library
 * @notice A library to be used within Swap.sol. Contains functions responsible for custody and AMM functionalities.
 * @dev Contracts relying on this library must initialize SwapUtils.Swap struct then use this library
 * for SwapUtils.Swap struct. Note that this library contains both functions called by users and admins.
 * Admin functions should be protected within contracts using this library.
 */
library SwapUtils {
    using SafeERC20 for IERC20;
    using SafeMath for uint256;
    using MathUtils for uint256;
    /*** EVENTS ***/
    event TokenSwap(
        address indexed buyer,
        uint256 tokensSold,
        uint256 tokensBought,
        uint128 soldId,
        uint128 boughtId
    );
    event AddLiquidity(
        address indexed provider,
        uint256[] tokenAmounts,
        uint256[] fees,
        uint256 invariant,
        uint256 lpTokenSupply
    );
    event RemoveLiquidity(
        address indexed provider,
        uint256[] tokenAmounts,
        uint256 lpTokenSupply
    );
    event RemoveLiquidityOne(
        address indexed provider,
        uint256 lpTokenAmount,
        uint256 lpTokenSupply,
        uint256 boughtId,
        uint256 tokensBought
    );
    event RemoveLiquidityImbalance(
        address indexed provider,
        uint256[] tokenAmounts,
        uint256[] fees,
        uint256 invariant,
        uint256 lpTokenSupply
    );
    event NewAdminFee(uint256 newAdminFee);
    event NewSwapFee(uint256 newSwapFee);
    event NewWithdrawFee(uint256 newWithdrawFee);
    event RampA(
        uint256 oldA,
        uint256 newA,
        uint256 initialTime,
        uint256 futureTime
    );
    event StopRampA(uint256 currentA, uint256 time);
    struct Swap {
        // variables around the ramp management of A,
        // the amplification coefficient * n * (n - 1)
        // see https://www.curve.fi/stableswap-paper.pdf for details
        uint256 initialA;
        uint256 futureA;
        uint256 initialATime;
        uint256 futureATime;
        // fee calculation
        uint256 swapFee;
        uint256 adminFee;
        uint256 defaultWithdrawFee;
        LPToken lpToken;
        // contract references for all tokens being pooled
        IERC20[] pooledTokens;
        // multipliers for each pooled token's precision to get to POOL_PRECISION_DECIMALS
        // for example, TBTC has 18 decimals, so the multiplier should be 1. WBTC
        // has 8, so the multiplier should be 10 ** 18 / 10 ** 8 => 10 ** 10
        uint256[] tokenPrecisionMultipliers;
        // the pool balance of each token, in the token's precision
        // the contract's actual token balance might differ
        uint256[] balances;
        mapping(address => uint256) depositTimestamp;
        mapping(address => uint256) withdrawFeeMultiplier;
    }
    // Struct storing variables used in calculations in the
    // calculateWithdrawOneTokenDY function to avoid stack too deep errors
    struct CalculateWithdrawOneTokenDYInfo {
        uint256 d0;
        uint256 d1;
        uint256 newY;
        uint256 feePerToken;
        uint256 preciseA;
    }
    // Struct storing variables used in calculation in addLiquidity function
    // to avoid stack too deep error
    struct AddLiquidityInfo {
        uint256 d0;
        uint256 d1;
        uint256 d2;
        uint256 preciseA;
    }
    // Struct storing variables used in calculation in removeLiquidityImbalance function
    // to avoid stack too deep error
    struct RemoveLiquidityImbalanceInfo {
        uint256 d0;
        uint256 d1;
        uint256 d2;
        uint256 preciseA;
    }
    // the precision all pools tokens will be converted to
    uint8 public constant POOL_PRECISION_DECIMALS = 18;
    // the denominator used to calculate admin and LP fees. For example, an
    // LP fee might be something like tradeAmount.mul(fee).div(FEE_DENOMINATOR)
    uint256 private constant FEE_DENOMINATOR = 10**10;
    // Max swap fee is 1% or 100bps of each swap
    uint256 public constant MAX_SWAP_FEE = 10**8;
    // Max adminFee is 100% of the swapFee
    // adminFee does not add additional fee on top of swapFee
    // Instead it takes a certain % of the swapFee. Therefore it has no impact on the
    // users but only on the earnings of LPs
    uint256 public constant MAX_ADMIN_FEE = 10**10;
    // Max withdrawFee is 1% of the value withdrawn
    // Fee will be redistributed to the LPs in the pool, rewarding
    // long term providers.
    uint256 public constant MAX_WITHDRAW_FEE = 10**8;
    // Constant value used as max loop limit
    uint256 private constant MAX_LOOP_LIMIT = 256;
    // Constant values used in ramping A calculations
    uint256 public constant A_PRECISION = 100;
    uint256 public constant MAX_A = 10**6;
    uint256 private constant MAX_A_CHANGE = 2;
    uint256 private constant MIN_RAMP_TIME = 14 days;
    /*** VIEW & PURE FUNCTIONS ***/
    /**
     * @notice Return A, the amplification coefficient * n * (n - 1)
     * @dev See the StableSwap paper for details
     * @param self Swap struct to read from
     * @return A parameter
     */
    function getA(Swap storage self) external view returns (uint256) {
        return _getA(self);
    }
    /**
     * @notice Return A, the amplification coefficient * n * (n - 1)
     * @dev See the StableSwap paper for details
     * @param self Swap struct to read from
     * @return A parameter
     */
    function _getA(Swap storage self) internal view returns (uint256) {
        return _getAPrecise(self).div(A_PRECISION);
    }
    /**
     * @notice Return A in its raw precision
     * @dev See the StableSwap paper for details
     * @param self Swap struct to read from
     * @return A parameter in its raw precision form
     */
    function getAPrecise(Swap storage self) external view returns (uint256) {
        return _getAPrecise(self);
    }
    /**
     * @notice Calculates and returns A based on the ramp settings
     * @dev See the StableSwap paper for details
     * @param self Swap struct to read from
     * @return A parameter in its raw precision form
     */
    function _getAPrecise(Swap storage self) internal view returns (uint256) {
        uint256 t1 = self.futureATime; // time when ramp is finished
        uint256 a1 = self.futureA; // final A value when ramp is finished
        if (block.timestamp < t1) {
            uint256 t0 = self.initialATime; // time when ramp is started
            uint256 a0 = self.initialA; // initial A value when ramp is started
            if (a1 > a0) {
                // a0 + (a1 - a0) * (block.timestamp - t0) / (t1 - t0)
                return
                    a0.add(
                        a1.sub(a0).mul(block.timestamp.sub(t0)).div(t1.sub(t0))
                    );
            } else {
                // a0 - (a0 - a1) * (block.timestamp - t0) / (t1 - t0)
                return
                    a0.sub(
                        a0.sub(a1).mul(block.timestamp.sub(t0)).div(t1.sub(t0))
                    );
            }
        } else {
            return a1;
        }
    }
    /**
     * @notice Retrieves the timestamp of last deposit made by the given address
     * @param self Swap struct to read from
     * @return timestamp of last deposit
     */
    function getDepositTimestamp(Swap storage self, address user)
        external
        view
        returns (uint256)
    {
        return self.depositTimestamp[user];
    }
    /**
     * @notice Calculate the dy, the amount of selected token that user receives and
     * the fee of withdrawing in one token
     * @param account the address that is withdrawing
     * @param tokenAmount the amount to withdraw in the pool's precision
     * @param tokenIndex which token will be withdrawn
     * @param self Swap struct to read from
     * @return the amount of token user will receive and the associated swap fee
     */
    function calculateWithdrawOneToken(
        Swap storage self,
        address account,
        uint256 tokenAmount,
        uint8 tokenIndex
    ) public view returns (uint256, uint256) {
        uint256 dy;
        uint256 newY;
        (dy, newY) = calculateWithdrawOneTokenDY(self, tokenIndex, tokenAmount);
        // dy_0 (without fees)
        // dy, dy_0 - dy
        uint256 dySwapFee =
            _xp(self)[tokenIndex]
                .sub(newY)
                .div(self.tokenPrecisionMultipliers[tokenIndex])
                .sub(dy);
        dy = dy
            .mul(
            FEE_DENOMINATOR.sub(calculateCurrentWithdrawFee(self, account))
        )
            .div(FEE_DENOMINATOR);
        return (dy, dySwapFee);
    }
    /**
     * @notice Calculate the dy of withdrawing in one token
     * @param self Swap struct to read from
     * @param tokenIndex which token will be withdrawn
     * @param tokenAmount the amount to withdraw in the pools precision
     * @return the d and the new y after withdrawing one token
     */
    function calculateWithdrawOneTokenDY(
        Swap storage self,
        uint8 tokenIndex,
        uint256 tokenAmount
    ) internal view returns (uint256, uint256) {
        require(
            tokenIndex < self.pooledTokens.length,
            "Token index out of range"
        );
        // Get the current D, then solve the stableswap invariant
        // y_i for D - tokenAmount
        uint256[] memory xp = _xp(self);
        CalculateWithdrawOneTokenDYInfo memory v =
            CalculateWithdrawOneTokenDYInfo(0, 0, 0, 0, 0);
        v.preciseA = _getAPrecise(self);
        v.d0 = getD(xp, v.preciseA);
        v.d1 = v.d0.sub(tokenAmount.mul(v.d0).div(self.lpToken.totalSupply()));
        require(tokenAmount <= xp[tokenIndex], "Withdraw exceeds available");
        v.newY = getYD(v.preciseA, tokenIndex, xp, v.d1);
        uint256[] memory xpReduced = new uint256[](xp.length);
        v.feePerToken = _feePerToken(self);
        for (uint256 i = 0; i < self.pooledTokens.length; i++) {
            uint256 xpi = xp[i];
            // if i == tokenIndex, dxExpected = xp[i] * d1 / d0 - newY
            // else dxExpected = xp[i] - (xp[i] * d1 / d0)
            // xpReduced[i] -= dxExpected * fee / FEE_DENOMINATOR
            xpReduced[i] = xpi.sub(
                (
                    (i == tokenIndex)
                        ? xpi.mul(v.d1).div(v.d0).sub(v.newY)
                        : xpi.sub(xpi.mul(v.d1).div(v.d0))
                )
                    .mul(v.feePerToken)
                    .div(FEE_DENOMINATOR)
            );
        }
        uint256 dy =
            xpReduced[tokenIndex].sub(
                getYD(v.preciseA, tokenIndex, xpReduced, v.d1)
            );
        dy = dy.sub(1).div(self.tokenPrecisionMultipliers[tokenIndex]);
        return (dy, v.newY);
    }
    /**
     * @notice Calculate the price of a token in the pool with given
     * precision-adjusted balances and a particular D.
     *
     * @dev This is accomplished via solving the invariant iteratively.
     * See the StableSwap paper and Curve.fi implementation for further details.
     *
     * x_1**2 + x1 * (sum' - (A*n**n - 1) * D / (A * n**n)) = D ** (n + 1) / (n ** (2 * n) * prod' * A)
     * x_1**2 + b*x_1 = c
     * x_1 = (x_1**2 + c) / (2*x_1 + b)
     *
     * @param a the amplification coefficient * n * (n - 1). See the StableSwap paper for details.
     * @param tokenIndex Index of token we are calculating for.
     * @param xp a precision-adjusted set of pool balances. Array should be
     * the same cardinality as the pool.
     * @param d the stableswap invariant
     * @return the price of the token, in the same precision as in xp
     */
    function getYD(
        uint256 a,
        uint8 tokenIndex,
        uint256[] memory xp,
        uint256 d
    ) internal pure returns (uint256) {
        uint256 numTokens = xp.length;
        require(tokenIndex < numTokens, "Token not found");
        uint256 c = d;
        uint256 s;
        uint256 nA = a.mul(numTokens);
        for (uint256 i = 0; i < numTokens; i++) {
            if (i != tokenIndex) {
                s = s.add(xp[i]);
                c = c.mul(d).div(xp[i].mul(numTokens));
                // If we were to protect the division loss we would have to keep the denominator separate
                // and divide at the end. However this leads to overflow with large numTokens or/and D.
                // c = c * D * D * D * ... overflow!
            }
        }
        c = c.mul(d).mul(A_PRECISION).div(nA.mul(numTokens));
        uint256 b = s.add(d.mul(A_PRECISION).div(nA));
        uint256 yPrev;
        uint256 y = d;
        for (uint256 i = 0; i < MAX_LOOP_LIMIT; i++) {
            yPrev = y;
            y = y.mul(y).add(c).div(y.mul(2).add(b).sub(d));
            if (y.within1(yPrev)) {
                return y;
            }
        }
        revert("Approximation did not converge");
    }
    /**
     * @notice Get D, the StableSwap invariant, based on a set of balances and a particular A.
     * @param xp a precision-adjusted set of pool balances. Array should be the same cardinality
     * as the pool.
     * @param a the amplification coefficient * n * (n - 1) in A_PRECISION.
     * See the StableSwap paper for details
     * @return the invariant, at the precision of the pool
     */
    function getD(uint256[] memory xp, uint256 a)
        internal
        pure
        returns (uint256)
    {
        uint256 numTokens = xp.length;
        uint256 s;
        for (uint256 i = 0; i < numTokens; i++) {
            s = s.add(xp[i]);
        }
        if (s == 0) {
            return 0;
        }
        uint256 prevD;
        uint256 d = s;
        uint256 nA = a.mul(numTokens);
        for (uint256 i = 0; i < MAX_LOOP_LIMIT; i++) {
            uint256 dP = d;
            for (uint256 j = 0; j < numTokens; j++) {
                dP = dP.mul(d).div(xp[j].mul(numTokens));
                // If we were to protect the division loss we would have to keep the denominator separate
                // and divide at the end. However this leads to overflow with large numTokens or/and D.
                // dP = dP * D * D * D * ... overflow!
            }
            prevD = d;
            d = nA.mul(s).div(A_PRECISION).add(dP.mul(numTokens)).mul(d).div(
                nA.sub(A_PRECISION).mul(d).div(A_PRECISION).add(
                    numTokens.add(1).mul(dP)
                )
            );
            if (d.within1(prevD)) {
                return d;
            }
        }
        // Convergence should occur in 4 loops or less. If this is reached, there may be something wrong
        // with the pool. If this were to occur repeatedly, LPs should withdraw via `removeLiquidity()`
        // function which does not rely on D.
        revert("D does not converge");
    }
    /**
     * @notice Get D, the StableSwap invariant, based on self Swap struct
     * @param self Swap struct to read from
     * @return The invariant, at the precision of the pool
     */
    function getD(Swap storage self) internal view returns (uint256) {
        return getD(_xp(self), _getAPrecise(self));
    }
    /**
     * @notice Given a set of balances and precision multipliers, return the
     * precision-adjusted balances.
     *
     * @param balances an array of token balances, in their native precisions.
     * These should generally correspond with pooled tokens.
     *
     * @param precisionMultipliers an array of multipliers, corresponding to
     * the amounts in the balances array. When multiplied together they
     * should yield amounts at the pool's precision.
     *
     * @return an array of amounts "scaled" to the pool's precision
     */
    function _xp(
        uint256[] memory balances,
        uint256[] memory precisionMultipliers
    ) internal pure returns (uint256[] memory) {
        uint256 numTokens = balances.length;
        require(
            numTokens == precisionMultipliers.length,
            "Balances must match multipliers"
        );
        uint256[] memory xp = new uint256[](numTokens);
        for (uint256 i = 0; i < numTokens; i++) {
            xp[i] = balances[i].mul(precisionMultipliers[i]);
        }
        return xp;
    }
    /**
     * @notice Return the precision-adjusted balances of all tokens in the pool
     * @param self Swap struct to read from
     * @param balances array of balances to scale
     * @return balances array "scaled" to the pool's precision, allowing
     * them to be more easily compared.
     */
    function _xp(Swap storage self, uint256[] memory balances)
        internal
        view
        returns (uint256[] memory)
    {
        return _xp(balances, self.tokenPrecisionMultipliers);
    }
    /**
     * @notice Return the precision-adjusted balances of all tokens in the pool
     * @param self Swap struct to read from
     * @return the pool balances "scaled" to the pool's precision, allowing
     * them to be more easily compared.
     */
    function _xp(Swap storage self) internal view returns (uint256[] memory) {
        return _xp(self.balances, self.tokenPrecisionMultipliers);
    }
    /**
     * @notice Get the virtual price, to help calculate profit
     * @param self Swap struct to read from
     * @return the virtual price, scaled to precision of POOL_PRECISION_DECIMALS
     */
    function getVirtualPrice(Swap storage self)
        external
        view
        returns (uint256)
    {
        uint256 d = getD(_xp(self), _getAPrecise(self));
        uint256 supply = self.lpToken.totalSupply();
        if (supply > 0) {
            return
                d.mul(10**uint256(ERC20(self.lpToken).decimals())).div(supply);
        }
        return 0;
    }
    /**
     * @notice Calculate the new balances of the tokens given the indexes of the token
     * that is swapped from (FROM) and the token that is swapped to (TO).
     * This function is used as a helper function to calculate how much TO token
     * the user should receive on swap.
     *
     * @param self Swap struct to read from
     * @param tokenIndexFrom index of FROM token
     * @param tokenIndexTo index of TO token
     * @param x the new total amount of FROM token
     * @param xp balances of the tokens in the pool
     * @return the amount of TO token that should remain in the pool
     */
    function getY(
        Swap storage self,
        uint8 tokenIndexFrom,
        uint8 tokenIndexTo,
        uint256 x,
        uint256[] memory xp
    ) internal view returns (uint256) {
        uint256 numTokens = self.pooledTokens.length;
        require(
            tokenIndexFrom != tokenIndexTo,
            "Can't compare token to itself"
        );
        require(
            tokenIndexFrom < numTokens && tokenIndexTo < numTokens,
            "Tokens must be in pool"
        );
        uint256 a = _getAPrecise(self);
        uint256 d = getD(xp, a);
        uint256 c = d;
        uint256 s;
        uint256 nA = numTokens.mul(a);
        uint256 _x;
        for (uint256 i = 0; i < numTokens; i++) {
            if (i == tokenIndexFrom) {
                _x = x;
            } else if (i != tokenIndexTo) {
                _x = xp[i];
            } else {
                continue;
            }
            s = s.add(_x);
            c = c.mul(d).div(_x.mul(numTokens));
            // If we were to protect the division loss we would have to keep the denominator separate
            // and divide at the end. However this leads to overflow with large numTokens or/and D.
            // c = c * D * D * D * ... overflow!
        }
        c = c.mul(d).mul(A_PRECISION).div(nA.mul(numTokens));
        uint256 b = s.add(d.mul(A_PRECISION).div(nA));
        uint256 yPrev;
        uint256 y = d;
        // iterative approximation
        for (uint256 i = 0; i < MAX_LOOP_LIMIT; i++) {
            yPrev = y;
            y = y.mul(y).add(c).div(y.mul(2).add(b).sub(d));
            if (y.within1(yPrev)) {
                return y;
            }
        }
        revert("Approximation did not converge");
    }
    /**
     * @notice Externally calculates a swap between two tokens.
     * @param self Swap struct to read from
     * @param tokenIndexFrom the token to sell
     * @param tokenIndexTo the token to buy
     * @param dx the number of tokens to sell. If the token charges a fee on transfers,
     * use the amount that gets transferred after the fee.
     * @return dy the number of tokens the user will get
     */
    function calculateSwap(
        Swap storage self,
        uint8 tokenIndexFrom,
        uint8 tokenIndexTo,
        uint256 dx
    ) external view returns (uint256 dy) {
        (dy, ) = _calculateSwap(self, tokenIndexFrom, tokenIndexTo, dx);
    }
    /**
     * @notice Internally calculates a swap between two tokens.
     *
     * @dev The caller is expected to transfer the actual amounts (dx and dy)
     * using the token contracts.
     *
     * @param self Swap struct to read from
     * @param tokenIndexFrom the token to sell
     * @param tokenIndexTo the token to buy
     * @param dx the number of tokens to sell. If the token charges a fee on transfers,
     * use the amount that gets transferred after the fee.
     * @return dy the number of tokens the user will get
     * @return dyFee the associated fee
     */
    function _calculateSwap(
        Swap storage self,
        uint8 tokenIndexFrom,
        uint8 tokenIndexTo,
        uint256 dx
    ) internal view returns (uint256 dy, uint256 dyFee) {
        uint256[] memory xp = _xp(self);
        require(
            tokenIndexFrom < xp.length && tokenIndexTo < xp.length,
            "Token index out of range"
        );
        uint256 x =
            dx.mul(self.tokenPrecisionMultipliers[tokenIndexFrom]).add(
                xp[tokenIndexFrom]
            );
        uint256 y = getY(self, tokenIndexFrom, tokenIndexTo, x, xp);
        dy = xp[tokenIndexTo].sub(y).sub(1);
        dyFee = dy.mul(self.swapFee).div(FEE_DENOMINATOR);
        dy = dy.sub(dyFee).div(self.tokenPrecisionMultipliers[tokenIndexTo]);
    }
    /**
     * @notice A simple method to calculate amount of each underlying
     * tokens that is returned upon burning given amount of
     * LP tokens
     *
     * @param account the address that is removing liquidity. required for withdraw fee calculation
     * @param amount the amount of LP tokens that would to be burned on
     * withdrawal
     * @return array of amounts of tokens user will receive
     */
    function calculateRemoveLiquidity(
        Swap storage self,
        address account,
        uint256 amount
    ) external view returns (uint256[] memory) {
        return _calculateRemoveLiquidity(self, account, amount);
    }
    function _calculateRemoveLiquidity(
        Swap storage self,
        address account,
        uint256 amount
    ) internal view returns (uint256[] memory) {
        uint256 totalSupply = self.lpToken.totalSupply();
        require(amount <= totalSupply, "Cannot exceed total supply");
        uint256 feeAdjustedAmount =
            amount
                .mul(
                FEE_DENOMINATOR.sub(calculateCurrentWithdrawFee(self, account))
            )
                .div(FEE_DENOMINATOR);
        uint256[] memory amounts = new uint256[](self.pooledTokens.length);
        for (uint256 i = 0; i < self.pooledTokens.length; i++) {
            amounts[i] = self.balances[i].mul(feeAdjustedAmount).div(
                totalSupply
            );
        }
        return amounts;
    }
    /**
     * @notice Calculate the fee that is applied when the given user withdraws.
     * Withdraw fee decays linearly over 4 weeks.
     * @param user address you want to calculate withdraw fee of
     * @return current withdraw fee of the user
     */
    function calculateCurrentWithdrawFee(Swap storage self, address user)
        public
        view
        returns (uint256)
    {
        uint256 endTime = self.depositTimestamp[user].add(4 weeks);
        if (endTime > block.timestamp) {
            uint256 timeLeftover = endTime.sub(block.timestamp);
            return
                self
                    .defaultWithdrawFee
                    .mul(self.withdrawFeeMultiplier[user])
                    .mul(timeLeftover)
                    .div(4 weeks)
                    .div(FEE_DENOMINATOR);
        }
        return 0;
    }
    /**
     * @notice A simple method to calculate prices from deposits or
     * withdrawals, excluding fees but including slippage. This is
     * helpful as an input into the various "min" parameters on calls
     * to fight front-running
     *
     * @dev This shouldn't be used outside frontends for user estimates.
     *
     * @param self Swap struct to read from
     * @param account address of the account depositing or withdrawing tokens
     * @param amounts an array of token amounts to deposit or withdrawal,
     * corresponding to pooledTokens. The amount should be in each
     * pooled token's native precision. If a token charges a fee on transfers,
     * use the amount that gets transferred after the fee.
     * @param deposit whether this is a deposit or a withdrawal
     * @return if deposit was true, total amount of lp token that will be minted and if
     * deposit was false, total amount of lp token that will be burned
     */
    function calculateTokenAmount(
        Swap storage self,
        address account,
        uint256[] calldata amounts,
        bool deposit
    ) external view returns (uint256) {
        uint256 numTokens = self.pooledTokens.length;
        uint256 a = _getAPrecise(self);
        uint256 d0 = getD(_xp(self, self.balances), a);
        uint256[] memory balances1 = self.balances;
        for (uint256 i = 0; i < numTokens; i++) {
            if (deposit) {
                balances1[i] = balances1[i].add(amounts[i]);
            } else {
                balances1[i] = balances1[i].sub(
                    amounts[i],
                    "Cannot withdraw more than available"
                );
            }
        }
        uint256 d1 = getD(_xp(self, balances1), a);
        uint256 totalSupply = self.lpToken.totalSupply();
        if (deposit) {
            return d1.sub(d0).mul(totalSupply).div(d0);
        } else {
            return
                d0.sub(d1).mul(totalSupply).div(d0).mul(FEE_DENOMINATOR).div(
                    FEE_DENOMINATOR.sub(
                        calculateCurrentWithdrawFee(self, account)
                    )
                );
        }
    }
    /**
     * @notice return accumulated amount of admin fees of the token with given index
     * @param self Swap struct to read from
     * @param index Index of the pooled token
     * @return admin balance in the token's precision
     */
    function getAdminBalance(Swap storage self, uint256 index)
        external
        view
        returns (uint256)
    {
        require(index < self.pooledTokens.length, "Token index out of range");
        return
            self.pooledTokens[index].balanceOf(address(this)).sub(
                self.balances[index]
            );
    }
    /**
     * @notice internal helper function to calculate fee per token multiplier used in
     * swap fee calculations
     * @param self Swap struct to read from
     */
    function _feePerToken(Swap storage self) internal view returns (uint256) {
        return
            self.swapFee.mul(self.pooledTokens.length).div(
                self.pooledTokens.length.sub(1).mul(4)
            );
    }
    /*** STATE MODIFYING FUNCTIONS ***/
    /**
     * @notice swap two tokens in the pool
     * @param self Swap struct to read from and write to
     * @param tokenIndexFrom the token the user wants to sell
     * @param tokenIndexTo the token the user wants to buy
     * @param dx the amount of tokens the user wants to sell
     * @param minDy the min amount the user would like to receive, or revert.
     * @return amount of token user received on swap
     */
    function swap(
        Swap storage self,
        uint8 tokenIndexFrom,
        uint8 tokenIndexTo,
        uint256 dx,
        uint256 minDy
    ) external returns (uint256) {
        require(
            dx <= self.pooledTokens[tokenIndexFrom].balanceOf(msg.sender),
            "Cannot swap more than you own"
        );
        // Transfer tokens first to see if a fee was charged on transfer
        uint256 beforeBalance =
            self.pooledTokens[tokenIndexFrom].balanceOf(address(this));
        self.pooledTokens[tokenIndexFrom].safeTransferFrom(
            msg.sender,
            address(this),
            dx
        );
        // Use the actual transferred amount for AMM math
        uint256 transferredDx =
            self.pooledTokens[tokenIndexFrom].balanceOf(address(this)).sub(
                beforeBalance
            );
        (uint256 dy, uint256 dyFee) =
            _calculateSwap(self, tokenIndexFrom, tokenIndexTo, transferredDx);
        require(dy >= minDy, "Swap didn't result in min tokens");
        uint256 dyAdminFee =
            dyFee.mul(self.adminFee).div(FEE_DENOMINATOR).div(
                self.tokenPrecisionMultipliers[tokenIndexTo]
            );
        self.balances[tokenIndexFrom] = self.balances[tokenIndexFrom].add(
            transferredDx
        );
        self.balances[tokenIndexTo] = self.balances[tokenIndexTo].sub(dy).sub(
            dyAdminFee
        );
        self.pooledTokens[tokenIndexTo].safeTransfer(msg.sender, dy);
        emit TokenSwap(
            msg.sender,
            transferredDx,
            dy,
            tokenIndexFrom,
            tokenIndexTo
        );
        return dy;
    }
    /**
     * @notice Add liquidity to the pool
     * @param self Swap struct to read from and write to
     * @param amounts the amounts of each token to add, in their native precision
     * @param minToMint the minimum LP tokens adding this amount of liquidity
     * should mint, otherwise revert. Handy for front-running mitigation
     * allowed addresses. If the pool is not in the guarded launch phase, this parameter will be ignored.
     * @return amount of LP token user received
     */
    function addLiquidity(
        Swap storage self,
        uint256[] memory amounts,
        uint256 minToMint
    ) external returns (uint256) {
        require(
            amounts.length == self.pooledTokens.length,
            "Amounts must match pooled tokens"
        );
        uint256[] memory fees = new uint256[](self.pooledTokens.length);
        // current state
        AddLiquidityInfo memory v = AddLiquidityInfo(0, 0, 0, 0);
        uint256 totalSupply = self.lpToken.totalSupply();
        if (totalSupply != 0) {
            v.d0 = getD(self);
        }
        uint256[] memory newBalances = self.balances;
        for (uint256 i = 0; i < self.pooledTokens.length; i++) {
            require(
                totalSupply != 0 || amounts[i] > 0,
                "Must supply all tokens in pool"
            );
            // Transfer tokens first to see if a fee was charged on transfer
            if (amounts[i] != 0) {
                uint256 beforeBalance =
                    self.pooledTokens[i].balanceOf(address(this));
                self.pooledTokens[i].safeTransferFrom(
                    msg.sender,
                    address(this),
                    amounts[i]
                );
                // Update the amounts[] with actual transfer amount
                amounts[i] = self.pooledTokens[i].balanceOf(address(this)).sub(
                    beforeBalance
                );
            }
            newBalances[i] = self.balances[i].add(amounts[i]);
        }
        // invariant after change
        v.preciseA = _getAPrecise(self);
        v.d1 = getD(_xp(self, newBalances), v.preciseA);
        require(v.d1 > v.d0, "D should increase");
        // updated to reflect fees and calculate the user's LP tokens
        v.d2 = v.d1;
        if (totalSupply != 0) {
            uint256 feePerToken = _feePerToken(self);
            for (uint256 i = 0; i < self.pooledTokens.length; i++) {
                uint256 idealBalance = v.d1.mul(self.balances[i]).div(v.d0);
                fees[i] = feePerToken
                    .mul(idealBalance.difference(newBalances[i]))
                    .div(FEE_DENOMINATOR);
                self.balances[i] = newBalances[i].sub(
                    fees[i].mul(self.adminFee).div(FEE_DENOMINATOR)
                );
                newBalances[i] = newBalances[i].sub(fees[i]);
            }
            v.d2 = getD(_xp(self, newBalances), v.preciseA);
        } else {
            // the initial depositor doesn't pay fees
            self.balances = newBalances;
        }
        uint256 toMint;
        if (totalSupply == 0) {
            toMint = v.d1;
        } else {
            toMint = v.d2.sub(v.d0).mul(totalSupply).div(v.d0);
        }
        require(toMint >= minToMint, "Couldn't mint min requested");
        // mint the user's LP tokens
        self.lpToken.mint(msg.sender, toMint);
        emit AddLiquidity(
            msg.sender,
            amounts,
            fees,
            v.d1,
            totalSupply.add(toMint)
        );
        return toMint;
    }
    /**
     * @notice Update the withdraw fee for `user`. If the user is currently
     * not providing liquidity in the pool, sets to default value. If not, recalculate
     * the starting withdraw fee based on the last deposit's time & amount relative
     * to the new deposit.
     *
     * @param self Swap struct to read from and write to
     * @param user address of the user depositing tokens
     * @param toMint amount of pool tokens to be minted
     */
    function updateUserWithdrawFee(
        Swap storage self,
        address user,
        uint256 toMint
    ) external {
        _updateUserWithdrawFee(self, user, toMint);
    }
    function _updateUserWithdrawFee(
        Swap storage self,
        address user,
        uint256 toMint
    ) internal {
        // If token is transferred to address 0 (or burned), don't update the fee.
        if (user == address(0)) {
            return;
        }
        if (self.defaultWithdrawFee == 0) {
            // If current fee is set to 0%, set multiplier to FEE_DENOMINATOR
            self.withdrawFeeMultiplier[user] = FEE_DENOMINATOR;
        } else {
            // Otherwise, calculate appropriate discount based on last deposit amount
            uint256 currentFee = calculateCurrentWithdrawFee(self, user);
            uint256 currentBalance = self.lpToken.balanceOf(user);
            // ((currentBalance * currentFee) + (toMint * defaultWithdrawFee)) * FEE_DENOMINATOR /
            // ((toMint + currentBalance) * defaultWithdrawFee)
            self.withdrawFeeMultiplier[user] = currentBalance
                .mul(currentFee)
                .add(toMint.mul(self.defaultWithdrawFee))
                .mul(FEE_DENOMINATOR)
                .div(toMint.add(currentBalance).mul(self.defaultWithdrawFee));
        }
        self.depositTimestamp[user] = block.timestamp;
    }
    /**
     * @notice Burn LP tokens to remove liquidity from the pool.
     * @dev Liquidity can always be removed, even when the pool is paused.
     * @param self Swap struct to read from and write to
     * @param amount the amount of LP tokens to burn
     * @param minAmounts the minimum amounts of each token in the pool
     * acceptable for this burn. Useful as a front-running mitigation
     * @return amounts of tokens the user received
     */
    function removeLiquidity(
        Swap storage self,
        uint256 amount,
        uint256[] calldata minAmounts
    ) external returns (uint256[] memory) {
        require(amount <= self.lpToken.balanceOf(msg.sender), ">LP.balanceOf");
        require(
            minAmounts.length == self.pooledTokens.length,
            "minAmounts must match poolTokens"
        );
        uint256[] memory amounts =
            _calculateRemoveLiquidity(self, msg.sender, amount);
        for (uint256 i = 0; i < amounts.length; i++) {
            require(amounts[i] >= minAmounts[i], "amounts[i] < minAmounts[i]");
            self.balances[i] = self.balances[i].sub(amounts[i]);
            self.pooledTokens[i].safeTransfer(msg.sender, amounts[i]);
        }
        self.lpToken.burnFrom(msg.sender, amount);
        emit RemoveLiquidity(msg.sender, amounts, self.lpToken.totalSupply());
        return amounts;
    }
    /**
     * @notice Remove liquidity from the pool all in one token.
     * @param self Swap struct to read from and write to
     * @param tokenAmount the amount of the lp tokens to burn
     * @param tokenIndex the index of the token you want to receive
     * @param minAmount the minimum amount to withdraw, otherwise revert
     * @return amount chosen token that user received
     */
    function removeLiquidityOneToken(
        Swap storage self,
        uint256 tokenAmount,
        uint8 tokenIndex,
        uint256 minAmount
    ) external returns (uint256) {
        uint256 totalSupply = self.lpToken.totalSupply();
        uint256 numTokens = self.pooledTokens.length;
        require(
            tokenAmount <= self.lpToken.balanceOf(msg.sender),
            ">LP.balanceOf"
        );
        require(tokenIndex < numTokens, "Token not found");
        uint256 dyFee;
        uint256 dy;
        (dy, dyFee) = calculateWithdrawOneToken(
            self,
            msg.sender,
            tokenAmount,
            tokenIndex
        );
        require(dy >= minAmount, "dy < minAmount");
        self.balances[tokenIndex] = self.balances[tokenIndex].sub(
            dy.add(dyFee.mul(self.adminFee).div(FEE_DENOMINATOR))
        );
        self.lpToken.burnFrom(msg.sender, tokenAmount);
        self.pooledTokens[tokenIndex].safeTransfer(msg.sender, dy);
        emit RemoveLiquidityOne(
            msg.sender,
            tokenAmount,
            totalSupply,
            tokenIndex,
            dy
        );
        return dy;
    }
    /**
     * @notice Remove liquidity from the pool, weighted differently than the
     * pool's current balances.
     *
     * @param self Swap struct to read from and write to
     * @param amounts how much of each token to withdraw
     * @param maxBurnAmount the max LP token provider is willing to pay to
     * remove liquidity. Useful as a front-running mitigation.
     * @return actual amount of LP tokens burned in the withdrawal
     */
    function removeLiquidityImbalance(
        Swap storage self,
        uint256[] memory amounts,
        uint256 maxBurnAmount
    ) public returns (uint256) {
        require(
            amounts.length == self.pooledTokens.length,
            "Amounts should match pool tokens"
        );
        require(
            maxBurnAmount <= self.lpToken.balanceOf(msg.sender) &&
                maxBurnAmount != 0,
            ">LP.balanceOf"
        );
        RemoveLiquidityImbalanceInfo memory v =
            RemoveLiquidityImbalanceInfo(0, 0, 0, 0);
        uint256 tokenSupply = self.lpToken.totalSupply();
        uint256 feePerToken = _feePerToken(self);
        uint256[] memory balances1 = self.balances;
        v.preciseA = _getAPrecise(self);
        v.d0 = getD(_xp(self), v.preciseA);
        for (uint256 i = 0; i < self.pooledTokens.length; i++) {
            balances1[i] = balances1[i].sub(
                amounts[i],
                "Cannot withdraw more than available"
            );
        }
        v.d1 = getD(_xp(self, balances1), v.preciseA);
        uint256[] memory fees = new uint256[](self.pooledTokens.length);
        for (uint256 i = 0; i < self.pooledTokens.length; i++) {
            uint256 idealBalance = v.d1.mul(self.balances[i]).div(v.d0);
            uint256 difference = idealBalance.difference(balances1[i]);
            fees[i] = feePerToken.mul(difference).div(FEE_DENOMINATOR);
            self.balances[i] = balances1[i].sub(
                fees[i].mul(self.adminFee).div(FEE_DENOMINATOR)
            );
            balances1[i] = balances1[i].sub(fees[i]);
        }
        v.d2 = getD(_xp(self, balances1), v.preciseA);
        uint256 tokenAmount = v.d0.sub(v.d2).mul(tokenSupply).div(v.d0);
        require(tokenAmount != 0, "Burnt amount cannot be zero");
        tokenAmount = tokenAmount.add(1).mul(FEE_DENOMINATOR).div(
            FEE_DENOMINATOR.sub(calculateCurrentWithdrawFee(self, msg.sender))
        );
        require(tokenAmount <= maxBurnAmount, "tokenAmount > maxBurnAmount");
        self.lpToken.burnFrom(msg.sender, tokenAmount);
        for (uint256 i = 0; i < self.pooledTokens.length; i++) {
            self.pooledTokens[i].safeTransfer(msg.sender, amounts[i]);
        }
        emit RemoveLiquidityImbalance(
            msg.sender,
            amounts,
            fees,
            v.d1,
            tokenSupply.sub(tokenAmount)
        );
        return tokenAmount;
    }
    /**
     * @notice withdraw all admin fees to a given address
     * @param self Swap struct to withdraw fees from
     * @param to Address to send the fees to
     */
    function withdrawAdminFees(Swap storage self, address to) external {
        for (uint256 i = 0; i < self.pooledTokens.length; i++) {
            IERC20 token = self.pooledTokens[i];
            uint256 balance =
                token.balanceOf(address(this)).sub(self.balances[i]);
            if (balance != 0) {
                token.safeTransfer(to, balance);
            }
        }
    }
    /**
     * @notice Sets the admin fee
     * @dev adminFee cannot be higher than 100% of the swap fee
     * @param self Swap struct to update
     * @param newAdminFee new admin fee to be applied on future transactions
     */
    function setAdminFee(Swap storage self, uint256 newAdminFee) external {
        require(newAdminFee <= MAX_ADMIN_FEE, "Fee is too high");
        self.adminFee = newAdminFee;
        emit NewAdminFee(newAdminFee);
    }
    /**
     * @notice update the swap fee
     * @dev fee cannot be higher than 1% of each swap
     * @param self Swap struct to update
     * @param newSwapFee new swap fee to be applied on future transactions
     */
    function setSwapFee(Swap storage self, uint256 newSwapFee) external {
        require(newSwapFee <= MAX_SWAP_FEE, "Fee is too high");
        self.swapFee = newSwapFee;
        emit NewSwapFee(newSwapFee);
    }
    /**
     * @notice update the default withdraw fee. This also affects deposits made in the past as well.
     * @param self Swap struct to update
     * @param newWithdrawFee new withdraw fee to be applied
     */
    function setDefaultWithdrawFee(Swap storage self, uint256 newWithdrawFee)
        external
    {
        require(newWithdrawFee <= MAX_WITHDRAW_FEE, "Fee is too high");
        self.defaultWithdrawFee = newWithdrawFee;
        emit NewWithdrawFee(newWithdrawFee);
    }
    /**
     * @notice Start ramping up or down A parameter towards given futureA_ and futureTime_
     * Checks if the change is too rapid, and commits the new A value only when it falls under
     * the limit range.
     * @param self Swap struct to update
     * @param futureA_ the new A to ramp towards
     * @param futureTime_ timestamp when the new A should be reached
     */
    function rampA(
        Swap storage self,
        uint256 futureA_,
        uint256 futureTime_
    ) external {
        require(
            block.timestamp >= self.initialATime.add(1 days),
            "Wait 1 day before starting ramp"
        );
        require(
            futureTime_ >= block.timestamp.add(MIN_RAMP_TIME),
            "Insufficient ramp time"
        );
        require(
            futureA_ > 0 && futureA_ < MAX_A,
            "futureA_ must be > 0 and < MAX_A"
        );
        uint256 initialAPrecise = _getAPrecise(self);
        uint256 futureAPrecise = futureA_.mul(A_PRECISION);
        if (futureAPrecise < initialAPrecise) {
            require(
                futureAPrecise.mul(MAX_A_CHANGE) >= initialAPrecise,
                "futureA_ is too small"
            );
        } else {
            require(
                futureAPrecise <= initialAPrecise.mul(MAX_A_CHANGE),
                "futureA_ is too large"
            );
        }
        self.initialA = initialAPrecise;
        self.futureA = futureAPrecise;
        self.initialATime = block.timestamp;
        self.futureATime = futureTime_;
        emit RampA(
            initialAPrecise,
            futureAPrecise,
            block.timestamp,
            futureTime_
        );
    }
    /**
     * @notice Stops ramping A immediately. Once this function is called, rampA()
     * cannot be called for another 24 hours
     * @param self Swap struct to update
     */
    function stopRampA(Swap storage self) external {
        require(self.futureATime > block.timestamp, "Ramp is already stopped");
        uint256 currentA = _getAPrecise(self);
        self.initialA = currentA;
        self.futureA = currentA;
        self.initialATime = block.timestamp;
        self.futureATime = block.timestamp;
        emit StopRampA(currentA, block.timestamp);
    }
}
// SPDX-License-Identifier: MIT
pragma solidity 0.6.12;
interface IAllowlist {
    function getPoolAccountLimit(address poolAddress)
        external
        view
        returns (uint256);
    function getPoolCap(address poolAddress) external view returns (uint256);
    function verifyAddress(address account, bytes32[] calldata merkleProof)
        external
        returns (bool);
}
// SPDX-License-Identifier: AGPL-3.0-only
pragma solidity 0.6.12;
/**
 * @title IFlashLoanReceiver interface
 * @notice Interface for the Saddle fee IFlashLoanReceiver. Modified from Aave's IFlashLoanReceiver interface.
 * https://github.com/aave/aave-protocol/blob/4b4545fb583fd4f400507b10f3c3114f45b8a037/contracts/flashloan/interfaces/IFlashLoanReceiver.sol
 * @author Aave
 * @dev implement this interface to develop a flashloan-compatible flashLoanReceiver contract
 **/
interface IFlashLoanReceiver {
    function executeOperation(
        address pool,
        address token,
        uint256 amount,
        uint256 fee,
        bytes calldata params
    ) external;
}
// SPDX-License-Identifier: MIT
pragma solidity 0.6.12;
import "@openzeppelin/contracts/token/ERC20/ERC20.sol";
import "./IAllowlist.sol";
interface ISwap {
    // pool data view functions
    function getA() external view returns (uint256);
    function getAllowlist() external view returns (IAllowlist);
    function getToken(uint8 index) external view returns (IERC20);
    function getTokenIndex(address tokenAddress) external view returns (uint8);
    function getTokenBalance(uint8 index) external view returns (uint256);
    function getVirtualPrice() external view returns (uint256);
    function isGuarded() external view returns (bool);
    // min return calculation functions
    function calculateSwap(
        uint8 tokenIndexFrom,
        uint8 tokenIndexTo,
        uint256 dx
    ) external view returns (uint256);
    function calculateTokenAmount(uint256[] calldata amounts, bool deposit)
        external
        view
        returns (uint256);
    function calculateRemoveLiquidity(uint256 amount)
        external
        view
        returns (uint256[] memory);
    function calculateRemoveLiquidityOneToken(
        uint256 tokenAmount,
        uint8 tokenIndex
    ) external view returns (uint256 availableTokenAmount);
    // state modifying functions
    function initialize(
        IERC20[] memory pooledTokens,
        uint8[] memory decimals,
        string memory lpTokenName,
        string memory lpTokenSymbol,
        uint256 a,
        uint256 fee,
        uint256 adminFee,
        uint256 withdrawFee
    ) external;
    function swap(
        uint8 tokenIndexFrom,
        uint8 tokenIndexTo,
        uint256 dx,
        uint256 minDy,
        uint256 deadline
    ) external returns (uint256);
    function addLiquidity(
        uint256[] calldata amounts,
        uint256 minToMint,
        uint256 deadline
    ) external returns (uint256);
    function removeLiquidity(
        uint256 amount,
        uint256[] calldata minAmounts,
        uint256 deadline
    ) external returns (uint256[] memory);
    function removeLiquidityOneToken(
        uint256 tokenAmount,
        uint8 tokenIndex,
        uint256 minAmount,
        uint256 deadline
    ) external returns (uint256);
    function removeLiquidityImbalance(
        uint256[] calldata amounts,
        uint256 maxBurnAmount,
        uint256 deadline
    ) external returns (uint256);
    // withdraw fee update function
    function updateUserWithdrawFee(address recipient, uint256 transferAmount)
        external;
}

// Copyright (C) 2015, 2016, 2017 Dapphub

// 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 ^0.4.18;

contract WETH9 {
    string public name     = "Wrapped Ether";
    string public symbol   = "WETH";
    uint8  public decimals = 18;

    event  Approval(address indexed src, address indexed guy, uint wad);
    event  Transfer(address indexed src, address indexed dst, uint wad);
    event  Deposit(address indexed dst, uint wad);
    event  Withdrawal(address indexed src, uint wad);

    mapping (address => uint)                       public  balanceOf;
    mapping (address => mapping (address => uint))  public  allowance;

    function() public payable {
        deposit();
    }
    function deposit() public payable {
        balanceOf[msg.sender] += msg.value;
        Deposit(msg.sender, msg.value);
    }
    function withdraw(uint wad) public {
        require(balanceOf[msg.sender] >= wad);
        balanceOf[msg.sender] -= wad;
        msg.sender.transfer(wad);
        Withdrawal(msg.sender, wad);
    }

    function totalSupply() public view returns (uint) {
        return this.balance;
    }

    function approve(address guy, uint wad) public returns (bool) {
        allowance[msg.sender][guy] = wad;
        Approval(msg.sender, guy, wad);
        return true;
    }

    function transfer(address dst, uint wad) public returns (bool) {
        return transferFrom(msg.sender, dst, wad);
    }

    function transferFrom(address src, address dst, uint wad)
        public
        returns (bool)
    {
        require(balanceOf[src] >= wad);

        if (src != msg.sender && allowance[src][msg.sender] != uint(-1)) {
            require(allowance[src][msg.sender] >= wad);
            allowance[src][msg.sender] -= wad;
        }

        balanceOf[src] -= wad;
        balanceOf[dst] += wad;

        Transfer(src, dst, wad);

        return true;
    }
}


/*
                    GNU GENERAL PUBLIC LICENSE
                       Version 3, 29 June 2007

 Copyright (C) 2007 Free Software Foundation, Inc. <http://fsf.org/>
 Everyone is permitted to copy and distribute verbatim copies
 of this license document, but changing it is not allowed.

                            Preamble

  The GNU General Public License is a free, copyleft license for
software and other kinds of works.

  The licenses for most software and other practical works are designed
to take away your freedom to share and change the works.  By contrast,
the GNU General Public License is intended to guarantee your freedom to
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software for all its users.  We, the Free Software Foundation, use the
GNU General Public License for most of our software; it applies also to
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your programs, too.

  When we speak of free software, we are referring to freedom, not
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                       TERMS AND CONDITIONS

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  When you convey a copy of a covered work, you may at your option
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  Notwithstanding any other provision of this License, for material you
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  All other non-permissive additional terms are considered "further
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  10. Automatic Licensing of Downstream Recipients.

  Each time you convey a covered work, the recipient automatically
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  An "entity transaction" is a transaction transferring control of an
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  A "contributor" is a copyright holder who authorizes use under this
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  If you convey a covered work, knowingly relying on a patent license,
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in a country, would infringe one or more identifiable patents in that
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  If, pursuant to or in connection with a single transaction or
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or that patent license was granted, prior to 28 March 2007.

  Nothing in this License shall be construed as excluding or limiting
any implied license or other defenses to infringement that may
otherwise be available to you under applicable patent law.

  12. No Surrender of Others' Freedom.

  If conditions are imposed on you (whether by court order, agreement or
otherwise) that contradict the conditions of this License, they do not
excuse you from the conditions of this License.  If you cannot convey a
covered work so as to satisfy simultaneously your obligations under this
License and any other pertinent obligations, then as a consequence you may
not convey it at all.  For example, if you agree to terms that obligate you
to collect a royalty for further conveying from those to whom you convey
the Program, the only way you could satisfy both those terms and this
License would be to refrain entirely from conveying the Program.

  13. Use with the GNU Affero General Public License.

  Notwithstanding any other provision of this License, you have
permission to link or combine any covered work with a work licensed
under version 3 of the GNU Affero General Public License into a single
combined work, and to convey the resulting work.  The terms of this
License will continue to apply to the part which is the covered work,
but the special requirements of the GNU Affero General Public License,
section 13, concerning interaction through a network will apply to the
combination as such.

  14. Revised Versions of this License.

  The Free Software Foundation may publish revised and/or new versions of
the GNU General Public License from time to time.  Such new versions will
be similar in spirit to the present version, but may differ in detail to
address new problems or concerns.

  Each version is given a distinguishing version number.  If the
Program specifies that a certain numbered version of the GNU General
Public License "or any later version" applies to it, you have the
option of following the terms and conditions either of that numbered
version or of any later version published by the Free Software
Foundation.  If the Program does not specify a version number of the
GNU General Public License, you may choose any version ever published
by the Free Software Foundation.

  If the Program specifies that a proxy can decide which future
versions of the GNU General Public License can be used, that proxy's
public statement of acceptance of a version permanently authorizes you
to choose that version for the Program.

  Later license versions may give you additional or different
permissions.  However, no additional obligations are imposed on any
author or copyright holder as a result of your choosing to follow a
later version.

  15. Disclaimer of Warranty.

  THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY
APPLICABLE LAW.  EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT
HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY
OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO,
THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
PURPOSE.  THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM
IS WITH YOU.  SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF
ALL NECESSARY SERVICING, REPAIR OR CORRECTION.

  16. Limitation of Liability.

  IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS
THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY
GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE
USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
SUCH DAMAGES.

  17. Interpretation of Sections 15 and 16.

  If the disclaimer of warranty and limitation of liability provided
above cannot be given local legal effect according to their terms,
reviewing courts shall apply local law that most closely approximates
an absolute waiver of all civil liability in connection with the
Program, unless a warranty or assumption of liability accompanies a
copy of the Program in return for a fee.

                     END OF TERMS AND CONDITIONS

            How to Apply These Terms to Your New Programs

  If you develop a new program, and you want it to be of the greatest
possible use to the public, the best way to achieve this is to make it
free software which everyone can redistribute and change under these terms.

  To do so, attach the following notices to the program.  It is safest
to attach them to the start of each source file to most effectively
state the exclusion of warranty; and each file should have at least
the "copyright" line and a pointer to where the full notice is found.

    <one line to give the program's name and a brief idea of what it does.>
    Copyright (C) <year>  <name of author>

    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/>.

Also add information on how to contact you by electronic and paper mail.

  If the program does terminal interaction, make it output a short
notice like this when it starts in an interactive mode:

    <program>  Copyright (C) <year>  <name of author>
    This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
    This is free software, and you are welcome to redistribute it
    under certain conditions; type `show c' for details.

The hypothetical commands `show w' and `show c' should show the appropriate
parts of the General Public License.  Of course, your program's commands
might be different; for a GUI interface, you would use an "about box".

  You should also get your employer (if you work as a programmer) or school,
if any, to sign a "copyright disclaimer" for the program, if necessary.
For more information on this, and how to apply and follow the GNU GPL, see
<http://www.gnu.org/licenses/>.

  The GNU General Public License does not permit incorporating your program
into proprietary programs.  If your program is a subroutine library, you
may consider it more useful to permit linking proprietary applications with
the library.  If this is what you want to do, use the GNU Lesser General
Public License instead of this License.  But first, please read
<http://www.gnu.org/philosophy/why-not-lgpl.html>.

*/

/**
 *Submitted for verification at Etherscan.io on 2020-09-16
*/

/**
 *Submitted for verification at Etherscan.io on 2020-09-15
*/

pragma solidity ^0.7.5;
pragma experimental ABIEncoderV2;

// From https://github.com/OpenZeppelin/openzeppelin-contracts/blob/master/contracts/math/Math.sol
// Subject to the MIT license.

/**
 * @dev Wrappers over Solidity's arithmetic operations with added overflow
 * checks.
 *
 * Arithmetic operations in Solidity wrap on overflow. This can easily result
 * in bugs, because programmers usually assume that an overflow raises an
 * error, which is the standard behavior in high level programming languages.
 * `SafeMath` restores this intuition by reverting the transaction when an
 * operation overflows.
 *
 * Using this library instead of the unchecked operations eliminates an entire
 * class of bugs, so it's recommended to use it always.
 */
library SafeMath {
    /**
     * @dev Returns the addition of two unsigned integers, reverting on overflow.
     *
     * Counterpart to Solidity's `+` operator.
     *
     * Requirements:
     * - Addition cannot overflow.
     */
    function add(uint256 a, uint256 b) internal pure returns (uint256) {
        uint256 c = a + b;
        require(c >= a, "SafeMath: addition overflow");

        return c;
    }

    /**
     * @dev Returns the addition of two unsigned integers, reverting with custom message on overflow.
     *
     * Counterpart to Solidity's `+` operator.
     *
     * Requirements:
     * - Addition cannot overflow.
     */
    function add(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        uint256 c = a + b;
        require(c >= a, errorMessage);

        return c;
    }

    /**
     * @dev Returns the subtraction of two unsigned integers, reverting on underflow (when the result is negative).
     *
     * Counterpart to Solidity's `-` operator.
     *
     * Requirements:
     * - Subtraction cannot underflow.
     */
    function sub(uint256 a, uint256 b) internal pure returns (uint256) {
        return sub(a, b, "SafeMath: subtraction underflow");
    }

    /**
     * @dev Returns the subtraction of two unsigned integers, reverting with custom message on underflow (when the result is negative).
     *
     * Counterpart to Solidity's `-` operator.
     *
     * Requirements:
     * - Subtraction cannot underflow.
     */
    function sub(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b <= a, errorMessage);
        uint256 c = a - b;

        return c;
    }

    /**
     * @dev Returns the multiplication of two unsigned integers, reverting on overflow.
     *
     * Counterpart to Solidity's `*` operator.
     *
     * Requirements:
     * - Multiplication cannot overflow.
     */
    function mul(uint256 a, uint256 b) internal pure returns (uint256) {
        // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
        // benefit is lost if 'b' is also tested.
        // See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522
        if (a == 0) {
            return 0;
        }

        uint256 c = a * b;
        require(c / a == b, "SafeMath: multiplication overflow");

        return c;
    }

    /**
     * @dev Returns the multiplication of two unsigned integers, reverting on overflow.
     *
     * Counterpart to Solidity's `*` operator.
     *
     * Requirements:
     * - Multiplication cannot overflow.
     */
    function mul(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
        // benefit is lost if 'b' is also tested.
        // See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522
        if (a == 0) {
            return 0;
        }

        uint256 c = a * b;
        require(c / a == b, errorMessage);

        return c;
    }

    /**
     * @dev Returns the integer division of two unsigned integers.
     * Reverts on division by zero. The result is rounded towards zero.
     *
     * Counterpart to Solidity's `/` operator. Note: this function uses a
     * `revert` opcode (which leaves remaining gas untouched) while Solidity
     * uses an invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     * - The divisor cannot be zero.
     */
    function div(uint256 a, uint256 b) internal pure returns (uint256) {
        return div(a, b, "SafeMath: division by zero");
    }

    /**
     * @dev Returns the integer division of two unsigned integers.
     * Reverts with custom message on division by zero. The result is rounded towards zero.
     *
     * Counterpart to Solidity's `/` operator. Note: this function uses a
     * `revert` opcode (which leaves remaining gas untouched) while Solidity
     * uses an invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     * - The divisor cannot be zero.
     */
    function div(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        // Solidity only automatically asserts when dividing by 0
        require(b > 0, errorMessage);
        uint256 c = a / b;
        // assert(a == b * c + a % b); // There is no case in which this doesn't hold

        return c;
    }

    /**
     * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
     * Reverts when dividing by zero.
     *
     * Counterpart to Solidity's `%` operator. This function uses a `revert`
     * opcode (which leaves remaining gas untouched) while Solidity uses an
     * invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     * - The divisor cannot be zero.
     */
    function mod(uint256 a, uint256 b) internal pure returns (uint256) {
        return mod(a, b, "SafeMath: modulo by zero");
    }

    /**
     * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
     * Reverts with custom message when dividing by zero.
     *
     * Counterpart to Solidity's `%` operator. This function uses a `revert`
     * opcode (which leaves remaining gas untouched) while Solidity uses an
     * invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     * - The divisor cannot be zero.
     */
    function mod(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b != 0, errorMessage);
        return a % b;
    }
}

contract vEth2 {
    /// @notice EIP-20 token name for this token
    string public constant name = "validator-Eth2";

    /// @notice EIP-20 token symbol for this token
    string public constant symbol = "vETH2";

    /// @notice EIP-20 token decimals for this token
    uint8 public constant decimals = 18;

    /// @notice Total number of tokens in circulation
    uint public totalSupply;

    /// @notice Address which may mint new tokens
    address public minter;

    /// @notice The timestamp after which minting may occur
    uint public mintingAllowedAfter;

    /// @notice Minimum time between mints
    // Flash mint protection
    uint32 public constant minimumTimeBetweenMints = 1;

    //Allowance amounts on behalf of others
    mapping (address => mapping (address => uint96)) internal allowances;

    // Official record of token balances for each account
    mapping (address => uint96) internal balances;

    /// @notice A record of each accounts delegate
    mapping (address => address) public delegates;

    /// @notice A checkpoint for marking number of votes from a given block
    struct Checkpoint {
        uint32 fromBlock;
        uint96 votes;
    }

    /// @notice A record of votes checkpoints for each account, by index
    mapping (address => mapping (uint32 => Checkpoint)) public checkpoints;

    /// @notice The number of checkpoints for each account
    mapping (address => uint32) public numCheckpoints;

    /// @notice The EIP-712 typehash for the contract's domain
    bytes32 public constant DOMAIN_TYPEHASH = keccak256("EIP712Domain(string name,uint256 chainId,address verifyingContract)");

    /// @notice The EIP-712 typehash for the delegation struct used by the contract
    bytes32 public constant DELEGATION_TYPEHASH = keccak256("Delegation(address delegatee,uint256 nonce,uint256 expiry)");

    /// @notice The EIP-712 typehash for the permit struct used by the contract
    bytes32 public constant PERMIT_TYPEHASH = keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)");

    /// @notice A record of states for signing / validating signatures
    mapping (address => uint) public nonces;

    /// @notice An event thats emitted when the minter address is changed
    event MinterChanged(address minter, address newMinter);

    /// @notice An event thats emitted when an account changes its delegate
    event DelegateChanged(address indexed delegator, address indexed fromDelegate, address indexed toDelegate);

    /// @notice An event thats emitted when a delegate account's vote balance changes
    event DelegateVotesChanged(address indexed delegate, uint previousBalance, uint newBalance);

    /// @notice The standard EIP-20 transfer event
    event Transfer(address indexed from, address indexed to, uint256 amount);

    /// @notice The standard EIP-20 approval event
    event Approval(address indexed owner, address indexed spender, uint256 amount);

    /**
     * @notice Construct a new Uni token
     * @param account The initial account to grant all the tokens
     * @param minter_ The account with minting ability
     * @param mintingAllowedAfter_ The timestamp after which minting may occur
     */
    constructor(address account, address minter_, uint mintingAllowedAfter_) public {
        require(mintingAllowedAfter_ >= block.timestamp, "vETH2::constructor: minting can only begin after deployment");

        balances[account] = uint96(totalSupply);
        emit Transfer(address(0), account, totalSupply);
        minter = minter_;
        emit MinterChanged(address(0), minter);
        mintingAllowedAfter = mintingAllowedAfter_;
    }

    /**
     * @notice Change the minter address
     * @param minter_ The address of the new minter
     */
    function setMinter(address minter_) external {
        require(msg.sender == minter, "vETH2::setMinter: only the minter can change the minter address");
        emit MinterChanged(minter, minter_);
        minter = minter_;
    }

    /**
     * @notice Mint new tokens
     * @param dst The address of the destination account
     * @param rawAmount The number of tokens to be minted
     */
    function mint(address dst, uint rawAmount) external {
        require(msg.sender == minter, "vETH2::mint: only the minter can mint");
        require(block.timestamp >= mintingAllowedAfter, "vETH2::mint: minting not allowed yet");
        require(dst != address(0), "vETH2::mint: cannot transfer to the zero address");

        // record the mint
        mintingAllowedAfter = SafeMath.add(block.timestamp, minimumTimeBetweenMints);

        // mint the amount
        uint96 amount = safe96(rawAmount, "vETH2::mint: amount exceeds 96 bits");
        totalSupply = safe96(SafeMath.add(totalSupply, amount), "vETH2::mint: totalSupply exceeds 96 bits");

        // transfer the amount to the recipient
        balances[dst] = add96(balances[dst], amount, "vETH2::mint: transfer amount overflows");
        emit Transfer(address(0), dst, amount);

        // move delegates
        _moveDelegates(address(0), delegates[dst], amount);
    }
    
    
    function burn(address src, uint rawAmount) external {
        require(msg.sender == minter, "vETH2::burn: only the minter can burn");
        require(block.timestamp >= mintingAllowedAfter, "vETH2::burn: minting not allowed yet");
        uint96 amount = safe96(rawAmount, "vETH2::burn: amount exceeds 96 bits");
        require(amount <= totalSupply, "vETH2::burn: exceededed total supply");
        mintingAllowedAfter = SafeMath.add(block.timestamp, minimumTimeBetweenMints);

        totalSupply = safe96(SafeMath.sub(totalSupply, amount), "vETH2::burn: totalSupply exceeds 96 bits");
        
        // transfer the amount to the recipient
        balances[src] = sub96(balances[src], amount, "vETH2::burn: transfer amount overflows");
        emit Transfer(src, address(0), amount);

        // move delegates
        _moveDelegates(delegates[src], address(0), amount);
    }

    /**
     * @notice Get the number of tokens `spender` is approved to spend on behalf of `account`
     * @param account The address of the account holding the funds
     * @param spender The address of the account spending the funds
     * @return The number of tokens approved
     */
    function allowance(address account, address spender) external view returns (uint) {
        return allowances[account][spender];
    }

    /**
     * @notice Approve `spender` to transfer up to `amount` from `src`
     * @dev This will overwrite the approval amount for `spender`
     *  and is subject to issues noted [here](https://eips.ethereum.org/EIPS/eip-20#approve)
     * @param spender The address of the account which may transfer tokens
     * @param rawAmount The number of tokens that are approved (2^256-1 means infinite)
     * @return Whether or not the approval succeeded
     */
    function approve(address spender, uint rawAmount) external returns (bool) {
        uint96 amount;
        if (rawAmount == uint(-1)) {
            amount = uint96(-1);
        } else {
            amount = safe96(rawAmount, "vETH2::approve: amount exceeds 96 bits");
        }

        allowances[msg.sender][spender] = amount;

        emit Approval(msg.sender, spender, amount);
        return true;
    }

    /**
     * @notice Triggers an approval from owner to spends
     * @param owner The address to approve from
     * @param spender The address to be approved
     * @param rawAmount The number of tokens that are approved (2^256-1 means infinite)
     * @param deadline The time at which to expire the signature
     * @param v The recovery byte of the signature
     * @param r Half of the ECDSA signature pair
     * @param s Half of the ECDSA signature pair
     */
    function permit(address owner, address spender, uint rawAmount, uint deadline, uint8 v, bytes32 r, bytes32 s) external {
        uint96 amount;
        if (rawAmount == uint(-1)) {
            amount = uint96(-1);
        } else {
            amount = safe96(rawAmount, "vETH2::permit: amount exceeds 96 bits");
        }

        bytes32 domainSeparator = keccak256(abi.encode(DOMAIN_TYPEHASH, keccak256(bytes(name)), getChainId(), address(this)));
        bytes32 structHash = keccak256(abi.encode(PERMIT_TYPEHASH, owner, spender, rawAmount, nonces[owner]++, deadline));
        bytes32 digest = keccak256(abi.encodePacked("\x19\x01", domainSeparator, structHash));
        address signatory = ecrecover(digest, v, r, s);
        require(signatory != address(0), "vETH2::permit: invalid signature");
        require(signatory == owner, "vETH2::permit: unauthorized");
        require(block.timestamp <= deadline, "vETH2::permit: signature expired");

        allowances[owner][spender] = amount;

        emit Approval(owner, spender, amount);
    }

    /**
     * @notice Get the number of tokens held by the `account`
     * @param account The address of the account to get the balance of
     * @return The number of tokens held
     */
    function balanceOf(address account) external view returns (uint) {
        return balances[account];
    }

    /**
     * @notice Transfer `amount` tokens from `msg.sender` to `dst`
     * @param dst The address of the destination account
     * @param rawAmount The number of tokens to transfer
     * @return Whether or not the transfer succeeded
     */
    function transfer(address dst, uint rawAmount) external returns (bool) {
        uint96 amount = safe96(rawAmount, "vETH2::transfer: amount exceeds 96 bits");
        _transferTokens(msg.sender, dst, amount);
        return true;
    }

    /**
     * @notice Transfer `amount` tokens from `src` to `dst`
     * @param src The address of the source account
     * @param dst The address of the destination account
     * @param rawAmount The number of tokens to transfer
     * @return Whether or not the transfer succeeded
     */
    function transferFrom(address src, address dst, uint rawAmount) external returns (bool) {
        address spender = msg.sender;
        uint96 spenderAllowance = allowances[src][spender];
        uint96 amount = safe96(rawAmount, "vETH2::approve: amount exceeds 96 bits");

        if (spender != src && spenderAllowance != uint96(-1)) {
            uint96 newAllowance = sub96(spenderAllowance, amount, "vETH2::transferFrom: transfer amount exceeds spender allowance");
            allowances[src][spender] = newAllowance;

            emit Approval(src, spender, newAllowance);
        }

        _transferTokens(src, dst, amount);
        return true;
    }

    /**
     * @notice Delegate votes from `msg.sender` to `delegatee`
     * @param delegatee The address to delegate votes to
     */
    function delegate(address delegatee) public {
        return _delegate(msg.sender, delegatee);
    }

    /**
     * @notice Delegates votes from signatory to `delegatee`
     * @param delegatee The address to delegate votes to
     * @param nonce The contract state required to match the signature
     * @param expiry The time at which to expire the signature
     * @param v The recovery byte of the signature
     * @param r Half of the ECDSA signature pair
     * @param s Half of the ECDSA signature pair
     */
    function delegateBySig(address delegatee, uint nonce, uint expiry, uint8 v, bytes32 r, bytes32 s) public {
        bytes32 domainSeparator = keccak256(abi.encode(DOMAIN_TYPEHASH, keccak256(bytes(name)), getChainId(), address(this)));
        bytes32 structHash = keccak256(abi.encode(DELEGATION_TYPEHASH, delegatee, nonce, expiry));
        bytes32 digest = keccak256(abi.encodePacked("\x19\x01", domainSeparator, structHash));
        address signatory = ecrecover(digest, v, r, s);
        require(signatory != address(0), "vETH2::delegateBySig: invalid signature");
        require(nonce == nonces[signatory]++, "vETH2::delegateBySig: invalid nonce");
        require(block.timestamp <= expiry, "vETH2::delegateBySig: signature expired");
        return _delegate(signatory, delegatee);
    }

    /**
     * @notice Gets the current votes balance for `account`
     * @param account The address to get votes balance
     * @return The number of current votes for `account`
     */
    function getCurrentVotes(address account) external view returns (uint96) {
        uint32 nCheckpoints = numCheckpoints[account];
        return nCheckpoints > 0 ? checkpoints[account][nCheckpoints - 1].votes : 0;
    }

    /**
     * @notice Determine the prior number of votes for an account as of a block number
     * @dev Block number must be a finalized block or else this function will revert to prevent misinformation.
     * @param account The address of the account to check
     * @param blockNumber The block number to get the vote balance at
     * @return The number of votes the account had as of the given block
     */
    function getPriorVotes(address account, uint blockNumber) public view returns (uint96) {
        require(blockNumber < block.number, "vETH2::getPriorVotes: not yet determined");

        uint32 nCheckpoints = numCheckpoints[account];
        if (nCheckpoints == 0) {
            return 0;
        }

        // First check most recent balance
        if (checkpoints[account][nCheckpoints - 1].fromBlock <= blockNumber) {
            return checkpoints[account][nCheckpoints - 1].votes;
        }

        // Next check implicit zero balance
        if (checkpoints[account][0].fromBlock > blockNumber) {
            return 0;
        }

        uint32 lower = 0;
        uint32 upper = nCheckpoints - 1;
        while (upper > lower) {
            uint32 center = upper - (upper - lower) / 2; // ceil, avoiding overflow
            Checkpoint memory cp = checkpoints[account][center];
            if (cp.fromBlock == blockNumber) {
                return cp.votes;
            } else if (cp.fromBlock < blockNumber) {
                lower = center;
            } else {
                upper = center - 1;
            }
        }
        return checkpoints[account][lower].votes;
    }

    function _delegate(address delegator, address delegatee) internal {
        address currentDelegate = delegates[delegator];
        uint96 delegatorBalance = balances[delegator];
        delegates[delegator] = delegatee;

        emit DelegateChanged(delegator, currentDelegate, delegatee);

        _moveDelegates(currentDelegate, delegatee, delegatorBalance);
    }

    function _transferTokens(address src, address dst, uint96 amount) internal {
        require(src != address(0), "vETH2::_transferTokens: cannot transfer from the zero address");
        require(dst != address(0), "vETH2::_transferTokens: cannot transfer to the zero address");

        balances[src] = sub96(balances[src], amount, "vETH2::_transferTokens: transfer amount exceeds balance");
        balances[dst] = add96(balances[dst], amount, "vETH2::_transferTokens: transfer amount overflows");
        emit Transfer(src, dst, amount);

        _moveDelegates(delegates[src], delegates[dst], amount);
    }

    function _moveDelegates(address srcRep, address dstRep, uint96 amount) internal {
        if (srcRep != dstRep && amount > 0) {
            if (srcRep != address(0)) {
                uint32 srcRepNum = numCheckpoints[srcRep];
                uint96 srcRepOld = srcRepNum > 0 ? checkpoints[srcRep][srcRepNum - 1].votes : 0;
                uint96 srcRepNew = sub96(srcRepOld, amount, "vETH2::_moveVotes: vote amount underflows");
                _writeCheckpoint(srcRep, srcRepNum, srcRepOld, srcRepNew);
            }

            if (dstRep != address(0)) {
                uint32 dstRepNum = numCheckpoints[dstRep];
                uint96 dstRepOld = dstRepNum > 0 ? checkpoints[dstRep][dstRepNum - 1].votes : 0;
                uint96 dstRepNew = add96(dstRepOld, amount, "vETH2::_moveVotes: vote amount overflows");
                _writeCheckpoint(dstRep, dstRepNum, dstRepOld, dstRepNew);
            }
        }
    }

    function _writeCheckpoint(address delegatee, uint32 nCheckpoints, uint96 oldVotes, uint96 newVotes) internal {
      uint32 blockNumber = safe32(block.number, "vETH2::_writeCheckpoint: block number exceeds 32 bits");

      if (nCheckpoints > 0 && checkpoints[delegatee][nCheckpoints - 1].fromBlock == blockNumber) {
          checkpoints[delegatee][nCheckpoints - 1].votes = newVotes;
      } else {
          checkpoints[delegatee][nCheckpoints] = Checkpoint(blockNumber, newVotes);
          numCheckpoints[delegatee] = nCheckpoints + 1;
      }

      emit DelegateVotesChanged(delegatee, oldVotes, newVotes);
    }

    function safe32(uint n, string memory errorMessage) internal pure returns (uint32) {
        require(n < 2**32, errorMessage);
        return uint32(n);
    }

    function safe96(uint n, string memory errorMessage) internal pure returns (uint96) {
        require(n < 2**96, errorMessage);
        return uint96(n);
    }

    function add96(uint96 a, uint96 b, string memory errorMessage) internal pure returns (uint96) {
        uint96 c = a + b;
        require(c >= a, errorMessage);
        return c;
    }

    function sub96(uint96 a, uint96 b, string memory errorMessage) internal pure returns (uint96) {
        require(b <= a, errorMessage);
        return a - b;
    }

    function getChainId() internal pure returns (uint) {
        uint256 chainId;
        assembly { chainId := chainid() }
        return chainId;
    }
}

// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
import "../utils/ContextUpgradeable.sol";
import "../proxy/Initializable.sol";
/**
 * @dev Contract module which provides a basic access control mechanism, where
 * there is an account (an owner) that can be granted exclusive access to
 * specific functions.
 *
 * By default, the owner account will be the one that deploys the contract. This
 * can later be changed with {transferOwnership}.
 *
 * This module is used through inheritance. It will make available the modifier
 * `onlyOwner`, which can be applied to your functions to restrict their use to
 * the owner.
 */
abstract contract OwnableUpgradeable is Initializable, ContextUpgradeable {
    address private _owner;
    event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);
    /**
     * @dev Initializes the contract setting the deployer as the initial owner.
     */
    function __Ownable_init() internal initializer {
        __Context_init_unchained();
        __Ownable_init_unchained();
    }
    function __Ownable_init_unchained() internal initializer {
        address msgSender = _msgSender();
        _owner = msgSender;
        emit OwnershipTransferred(address(0), msgSender);
    }
    /**
     * @dev Returns the address of the current owner.
     */
    function owner() public view virtual returns (address) {
        return _owner;
    }
    /**
     * @dev Throws if called by any account other than the owner.
     */
    modifier onlyOwner() {
        require(owner() == _msgSender(), "Ownable: caller is not the owner");
        _;
    }
    /**
     * @dev Leaves the contract without owner. It will not be possible to call
     * `onlyOwner` functions anymore. Can only be called by the current owner.
     *
     * NOTE: Renouncing ownership will leave the contract without an owner,
     * thereby removing any functionality that is only available to the owner.
     */
    function renounceOwnership() public virtual onlyOwner {
        emit OwnershipTransferred(_owner, address(0));
        _owner = address(0);
    }
    /**
     * @dev Transfers ownership of the contract to a new account (`newOwner`).
     * Can only be called by the current owner.
     */
    function transferOwnership(address newOwner) public virtual onlyOwner {
        require(newOwner != address(0), "Ownable: new owner is the zero address");
        emit OwnershipTransferred(_owner, newOwner);
        _owner = newOwner;
    }
    uint256[49] private __gap;
}
// SPDX-License-Identifier: MIT
// solhint-disable-next-line compiler-version
pragma solidity >=0.4.24 <0.8.0;
import "../utils/AddressUpgradeable.sol";
/**
 * @dev This is a base contract to aid in writing upgradeable contracts, or any kind of contract that will be deployed
 * behind a proxy. Since a proxied contract can't have a constructor, it's common to move constructor logic to an
 * external initializer function, usually called `initialize`. It then becomes necessary to protect this initializer
 * function so it can only be called once. The {initializer} modifier provided by this contract will have this effect.
 *
 * TIP: To avoid leaving the proxy in an uninitialized state, the initializer function should be called as early as
 * possible by providing the encoded function call as the `_data` argument to {UpgradeableProxy-constructor}.
 *
 * CAUTION: When used with inheritance, manual care must be taken to not invoke a parent initializer twice, or to ensure
 * that all initializers are idempotent. This is not verified automatically as constructors are by Solidity.
 */
abstract contract Initializable {
    /**
     * @dev Indicates that the contract has been initialized.
     */
    bool private _initialized;
    /**
     * @dev Indicates that the contract is in the process of being initialized.
     */
    bool private _initializing;
    /**
     * @dev Modifier to protect an initializer function from being invoked twice.
     */
    modifier initializer() {
        require(_initializing || _isConstructor() || !_initialized, "Initializable: contract is already initialized");
        bool isTopLevelCall = !_initializing;
        if (isTopLevelCall) {
            _initializing = true;
            _initialized = true;
        }
        _;
        if (isTopLevelCall) {
            _initializing = false;
        }
    }
    /// @dev Returns true if and only if the function is running in the constructor
    function _isConstructor() private view returns (bool) {
        return !AddressUpgradeable.isContract(address(this));
    }
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.2 <0.8.0;
/**
 * @dev Collection of functions related to the address type
 */
library AddressUpgradeable {
    /**
     * @dev Returns true if `account` is a contract.
     *
     * [IMPORTANT]
     * ====
     * It is unsafe to assume that an address for which this function returns
     * false is an externally-owned account (EOA) and not a contract.
     *
     * Among others, `isContract` will return false for the following
     * types of addresses:
     *
     *  - an externally-owned account
     *  - a contract in construction
     *  - an address where a contract will be created
     *  - an address where a contract lived, but was destroyed
     * ====
     */
    function isContract(address account) internal view returns (bool) {
        // This method relies on extcodesize, which returns 0 for contracts in
        // construction, since the code is only stored at the end of the
        // constructor execution.
        uint256 size;
        // solhint-disable-next-line no-inline-assembly
        assembly { size := extcodesize(account) }
        return size > 0;
    }
    /**
     * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
     * `recipient`, forwarding all available gas and reverting on errors.
     *
     * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
     * of certain opcodes, possibly making contracts go over the 2300 gas limit
     * imposed by `transfer`, making them unable to receive funds via
     * `transfer`. {sendValue} removes this limitation.
     *
     * https://diligence.consensys.net/posts/2019/09/stop-using-soliditys-transfer-now/[Learn more].
     *
     * IMPORTANT: because control is transferred to `recipient`, care must be
     * taken to not create reentrancy vulnerabilities. Consider using
     * {ReentrancyGuard} or the
     * https://solidity.readthedocs.io/en/v0.5.11/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
     */
    function sendValue(address payable recipient, uint256 amount) internal {
        require(address(this).balance >= amount, "Address: insufficient balance");
        // solhint-disable-next-line avoid-low-level-calls, avoid-call-value
        (bool success, ) = recipient.call{ value: amount }("");
        require(success, "Address: unable to send value, recipient may have reverted");
    }
    /**
     * @dev Performs a Solidity function call using a low level `call`. A
     * plain`call` is an unsafe replacement for a function call: use this
     * function instead.
     *
     * If `target` reverts with a revert reason, it is bubbled up by this
     * function (like regular Solidity function calls).
     *
     * Returns the raw returned data. To convert to the expected return value,
     * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
     *
     * Requirements:
     *
     * - `target` must be a contract.
     * - calling `target` with `data` must not revert.
     *
     * _Available since v3.1._
     */
    function functionCall(address target, bytes memory data) internal returns (bytes memory) {
      return functionCall(target, data, "Address: low-level call failed");
    }
    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
     * `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCall(address target, bytes memory data, string memory errorMessage) internal returns (bytes memory) {
        return functionCallWithValue(target, data, 0, errorMessage);
    }
    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but also transferring `value` wei to `target`.
     *
     * Requirements:
     *
     * - the calling contract must have an ETH balance of at least `value`.
     * - the called Solidity function must be `payable`.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(address target, bytes memory data, uint256 value) internal returns (bytes memory) {
        return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
    }
    /**
     * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
     * with `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(address target, bytes memory data, uint256 value, string memory errorMessage) internal returns (bytes memory) {
        require(address(this).balance >= value, "Address: insufficient balance for call");
        require(isContract(target), "Address: call to non-contract");
        // solhint-disable-next-line avoid-low-level-calls
        (bool success, bytes memory returndata) = target.call{ value: value }(data);
        return _verifyCallResult(success, returndata, errorMessage);
    }
    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
        return functionStaticCall(target, data, "Address: low-level static call failed");
    }
    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(address target, bytes memory data, string memory errorMessage) internal view returns (bytes memory) {
        require(isContract(target), "Address: static call to non-contract");
        // solhint-disable-next-line avoid-low-level-calls
        (bool success, bytes memory returndata) = target.staticcall(data);
        return _verifyCallResult(success, returndata, errorMessage);
    }
    function _verifyCallResult(bool success, bytes memory returndata, string memory errorMessage) private pure returns(bytes memory) {
        if (success) {
            return returndata;
        } else {
            // Look for revert reason and bubble it up if present
            if (returndata.length > 0) {
                // The easiest way to bubble the revert reason is using memory via assembly
                // solhint-disable-next-line no-inline-assembly
                assembly {
                    let returndata_size := mload(returndata)
                    revert(add(32, returndata), returndata_size)
                }
            } else {
                revert(errorMessage);
            }
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
import "../proxy/Initializable.sol";
/*
 * @dev Provides information about the current execution context, including the
 * sender of the transaction and its data. While these are generally available
 * via msg.sender and msg.data, they should not be accessed in such a direct
 * manner, since when dealing with GSN meta-transactions the account sending and
 * paying for execution may not be the actual sender (as far as an application
 * is concerned).
 *
 * This contract is only required for intermediate, library-like contracts.
 */
abstract contract ContextUpgradeable is Initializable {
    function __Context_init() internal initializer {
        __Context_init_unchained();
    }
    function __Context_init_unchained() internal initializer {
    }
    function _msgSender() internal view virtual returns (address payable) {
        return msg.sender;
    }
    function _msgData() internal view virtual returns (bytes memory) {
        this; // silence state mutability warning without generating bytecode - see https://github.com/ethereum/solidity/issues/2691
        return msg.data;
    }
    uint256[50] private __gap;
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
import "./ContextUpgradeable.sol";
import "../proxy/Initializable.sol";
/**
 * @dev Contract module which allows children to implement an emergency stop
 * mechanism that can be triggered by an authorized account.
 *
 * This module is used through inheritance. It will make available the
 * modifiers `whenNotPaused` and `whenPaused`, which can be applied to
 * the functions of your contract. Note that they will not be pausable by
 * simply including this module, only once the modifiers are put in place.
 */
abstract contract PausableUpgradeable is Initializable, ContextUpgradeable {
    /**
     * @dev Emitted when the pause is triggered by `account`.
     */
    event Paused(address account);
    /**
     * @dev Emitted when the pause is lifted by `account`.
     */
    event Unpaused(address account);
    bool private _paused;
    /**
     * @dev Initializes the contract in unpaused state.
     */
    function __Pausable_init() internal initializer {
        __Context_init_unchained();
        __Pausable_init_unchained();
    }
    function __Pausable_init_unchained() internal initializer {
        _paused = false;
    }
    /**
     * @dev Returns true if the contract is paused, and false otherwise.
     */
    function paused() public view virtual returns (bool) {
        return _paused;
    }
    /**
     * @dev Modifier to make a function callable only when the contract is not paused.
     *
     * Requirements:
     *
     * - The contract must not be paused.
     */
    modifier whenNotPaused() {
        require(!paused(), "Pausable: paused");
        _;
    }
    /**
     * @dev Modifier to make a function callable only when the contract is paused.
     *
     * Requirements:
     *
     * - The contract must be paused.
     */
    modifier whenPaused() {
        require(paused(), "Pausable: not paused");
        _;
    }
    /**
     * @dev Triggers stopped state.
     *
     * Requirements:
     *
     * - The contract must not be paused.
     */
    function _pause() internal virtual whenNotPaused {
        _paused = true;
        emit Paused(_msgSender());
    }
    /**
     * @dev Returns to normal state.
     *
     * Requirements:
     *
     * - The contract must be paused.
     */
    function _unpause() internal virtual whenPaused {
        _paused = false;
        emit Unpaused(_msgSender());
    }
    uint256[49] private __gap;
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
import "../proxy/Initializable.sol";
/**
 * @dev Contract module that helps prevent reentrant calls to a function.
 *
 * Inheriting from `ReentrancyGuard` will make the {nonReentrant} modifier
 * available, which can be applied to functions to make sure there are no nested
 * (reentrant) calls to them.
 *
 * Note that because there is a single `nonReentrant` guard, functions marked as
 * `nonReentrant` may not call one another. This can be worked around by making
 * those functions `private`, and then adding `external` `nonReentrant` entry
 * points to them.
 *
 * TIP: If you would like to learn more about reentrancy and alternative ways
 * to protect against it, check out our blog post
 * https://blog.openzeppelin.com/reentrancy-after-istanbul/[Reentrancy After Istanbul].
 */
abstract contract ReentrancyGuardUpgradeable is Initializable {
    // Booleans are more expensive than uint256 or any type that takes up a full
    // word because each write operation emits an extra SLOAD to first read the
    // slot's contents, replace the bits taken up by the boolean, and then write
    // back. This is the compiler's defense against contract upgrades and
    // pointer aliasing, and it cannot be disabled.
    // The values being non-zero value makes deployment a bit more expensive,
    // but in exchange the refund on every call to nonReentrant will be lower in
    // amount. Since refunds are capped to a percentage of the total
    // transaction's gas, it is best to keep them low in cases like this one, to
    // increase the likelihood of the full refund coming into effect.
    uint256 private constant _NOT_ENTERED = 1;
    uint256 private constant _ENTERED = 2;
    uint256 private _status;
    function __ReentrancyGuard_init() internal initializer {
        __ReentrancyGuard_init_unchained();
    }
    function __ReentrancyGuard_init_unchained() internal initializer {
        _status = _NOT_ENTERED;
    }
    /**
     * @dev Prevents a contract from calling itself, directly or indirectly.
     * Calling a `nonReentrant` function from another `nonReentrant`
     * function is not supported. It is possible to prevent this from happening
     * by making the `nonReentrant` function external, and make it call a
     * `private` function that does the actual work.
     */
    modifier nonReentrant() {
        // On the first call to nonReentrant, _notEntered will be true
        require(_status != _ENTERED, "ReentrancyGuard: reentrant call");
        // Any calls to nonReentrant after this point will fail
        _status = _ENTERED;
        _;
        // By storing the original value once again, a refund is triggered (see
        // https://eips.ethereum.org/EIPS/eip-2200)
        _status = _NOT_ENTERED;
    }
    uint256[49] private __gap;
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
import "../utils/Context.sol";
/**
 * @dev Contract module which provides a basic access control mechanism, where
 * there is an account (an owner) that can be granted exclusive access to
 * specific functions.
 *
 * By default, the owner account will be the one that deploys the contract. This
 * can later be changed with {transferOwnership}.
 *
 * This module is used through inheritance. It will make available the modifier
 * `onlyOwner`, which can be applied to your functions to restrict their use to
 * the owner.
 */
abstract contract Ownable is Context {
    address private _owner;
    event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);
    /**
     * @dev Initializes the contract setting the deployer as the initial owner.
     */
    constructor () internal {
        address msgSender = _msgSender();
        _owner = msgSender;
        emit OwnershipTransferred(address(0), msgSender);
    }
    /**
     * @dev Returns the address of the current owner.
     */
    function owner() public view virtual returns (address) {
        return _owner;
    }
    /**
     * @dev Throws if called by any account other than the owner.
     */
    modifier onlyOwner() {
        require(owner() == _msgSender(), "Ownable: caller is not the owner");
        _;
    }
    /**
     * @dev Leaves the contract without owner. It will not be possible to call
     * `onlyOwner` functions anymore. Can only be called by the current owner.
     *
     * NOTE: Renouncing ownership will leave the contract without an owner,
     * thereby removing any functionality that is only available to the owner.
     */
    function renounceOwnership() public virtual onlyOwner {
        emit OwnershipTransferred(_owner, address(0));
        _owner = address(0);
    }
    /**
     * @dev Transfers ownership of the contract to a new account (`newOwner`).
     * Can only be called by the current owner.
     */
    function transferOwnership(address newOwner) public virtual onlyOwner {
        require(newOwner != address(0), "Ownable: new owner is the zero address");
        emit OwnershipTransferred(_owner, newOwner);
        _owner = newOwner;
    }
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
/**
 * @dev Wrappers over Solidity's arithmetic operations with added overflow
 * checks.
 *
 * Arithmetic operations in Solidity wrap on overflow. This can easily result
 * in bugs, because programmers usually assume that an overflow raises an
 * error, which is the standard behavior in high level programming languages.
 * `SafeMath` restores this intuition by reverting the transaction when an
 * operation overflows.
 *
 * Using this library instead of the unchecked operations eliminates an entire
 * class of bugs, so it's recommended to use it always.
 */
library SafeMath {
    /**
     * @dev Returns the addition of two unsigned integers, with an overflow flag.
     *
     * _Available since v3.4._
     */
    function tryAdd(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        uint256 c = a + b;
        if (c < a) return (false, 0);
        return (true, c);
    }
    /**
     * @dev Returns the substraction of two unsigned integers, with an overflow flag.
     *
     * _Available since v3.4._
     */
    function trySub(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        if (b > a) return (false, 0);
        return (true, a - b);
    }
    /**
     * @dev Returns the multiplication of two unsigned integers, with an overflow flag.
     *
     * _Available since v3.4._
     */
    function tryMul(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
        // benefit is lost if 'b' is also tested.
        // See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522
        if (a == 0) return (true, 0);
        uint256 c = a * b;
        if (c / a != b) return (false, 0);
        return (true, c);
    }
    /**
     * @dev Returns the division of two unsigned integers, with a division by zero flag.
     *
     * _Available since v3.4._
     */
    function tryDiv(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        if (b == 0) return (false, 0);
        return (true, a / b);
    }
    /**
     * @dev Returns the remainder of dividing two unsigned integers, with a division by zero flag.
     *
     * _Available since v3.4._
     */
    function tryMod(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        if (b == 0) return (false, 0);
        return (true, a % b);
    }
    /**
     * @dev Returns the addition of two unsigned integers, reverting on
     * overflow.
     *
     * Counterpart to Solidity's `+` operator.
     *
     * Requirements:
     *
     * - Addition cannot overflow.
     */
    function add(uint256 a, uint256 b) internal pure returns (uint256) {
        uint256 c = a + b;
        require(c >= a, "SafeMath: addition overflow");
        return c;
    }
    /**
     * @dev Returns the subtraction of two unsigned integers, reverting on
     * overflow (when the result is negative).
     *
     * Counterpart to Solidity's `-` operator.
     *
     * Requirements:
     *
     * - Subtraction cannot overflow.
     */
    function sub(uint256 a, uint256 b) internal pure returns (uint256) {
        require(b <= a, "SafeMath: subtraction overflow");
        return a - b;
    }
    /**
     * @dev Returns the multiplication of two unsigned integers, reverting on
     * overflow.
     *
     * Counterpart to Solidity's `*` operator.
     *
     * Requirements:
     *
     * - Multiplication cannot overflow.
     */
    function mul(uint256 a, uint256 b) internal pure returns (uint256) {
        if (a == 0) return 0;
        uint256 c = a * b;
        require(c / a == b, "SafeMath: multiplication overflow");
        return c;
    }
    /**
     * @dev Returns the integer division of two unsigned integers, reverting on
     * division by zero. The result is rounded towards zero.
     *
     * Counterpart to Solidity's `/` operator. Note: this function uses a
     * `revert` opcode (which leaves remaining gas untouched) while Solidity
     * uses an invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function div(uint256 a, uint256 b) internal pure returns (uint256) {
        require(b > 0, "SafeMath: division by zero");
        return a / b;
    }
    /**
     * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
     * reverting when dividing by zero.
     *
     * Counterpart to Solidity's `%` operator. This function uses a `revert`
     * opcode (which leaves remaining gas untouched) while Solidity uses an
     * invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function mod(uint256 a, uint256 b) internal pure returns (uint256) {
        require(b > 0, "SafeMath: modulo by zero");
        return a % b;
    }
    /**
     * @dev Returns the subtraction of two unsigned integers, reverting with custom message on
     * overflow (when the result is negative).
     *
     * CAUTION: This function is deprecated because it requires allocating memory for the error
     * message unnecessarily. For custom revert reasons use {trySub}.
     *
     * Counterpart to Solidity's `-` operator.
     *
     * Requirements:
     *
     * - Subtraction cannot overflow.
     */
    function sub(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b <= a, errorMessage);
        return a - b;
    }
    /**
     * @dev Returns the integer division of two unsigned integers, reverting with custom message on
     * division by zero. The result is rounded towards zero.
     *
     * CAUTION: This function is deprecated because it requires allocating memory for the error
     * message unnecessarily. For custom revert reasons use {tryDiv}.
     *
     * Counterpart to Solidity's `/` operator. Note: this function uses a
     * `revert` opcode (which leaves remaining gas untouched) while Solidity
     * uses an invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function div(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b > 0, errorMessage);
        return a / b;
    }
    /**
     * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
     * reverting with custom message when dividing by zero.
     *
     * CAUTION: This function is deprecated because it requires allocating memory for the error
     * message unnecessarily. For custom revert reasons use {tryMod}.
     *
     * Counterpart to Solidity's `%` operator. This function uses a `revert`
     * opcode (which leaves remaining gas untouched) while Solidity uses an
     * invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function mod(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b > 0, errorMessage);
        return a % b;
    }
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
import "../../utils/Context.sol";
import "./IERC20.sol";
import "../../math/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 Context, 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_) public {
        _name = name_;
        _symbol = symbol_;
        _decimals = 18;
    }
    /**
     * @dev Returns the name of the token.
     */
    function name() public view virtual returns (string memory) {
        return _name;
    }
    /**
     * @dev Returns the symbol of the token, usually a shorter version of the
     * name.
     */
    function symbol() public view virtual 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 virtual returns (uint8) {
        return _decimals;
    }
    /**
     * @dev See {IERC20-totalSupply}.
     */
    function totalSupply() public view virtual override returns (uint256) {
        return _totalSupply;
    }
    /**
     * @dev See {IERC20-balanceOf}.
     */
    function balanceOf(address account) public view virtual override returns (uint256) {
        return _balances[account];
    }
    /**
     * @dev See {IERC20-transfer}.
     *
     * Requirements:
     *
     * - `recipient` cannot be the zero address.
     * - the caller must have a balance of at least `amount`.
     */
    function transfer(address recipient, uint256 amount) public virtual override returns (bool) {
        _transfer(_msgSender(), recipient, amount);
        return true;
    }
    /**
     * @dev See {IERC20-allowance}.
     */
    function allowance(address owner, address spender) public view virtual override returns (uint256) {
        return _allowances[owner][spender];
    }
    /**
     * @dev See {IERC20-approve}.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     */
    function approve(address spender, uint256 amount) public virtual override returns (bool) {
        _approve(_msgSender(), spender, amount);
        return true;
    }
    /**
     * @dev See {IERC20-transferFrom}.
     *
     * Emits an {Approval} event indicating the updated allowance. This is not
     * required by the EIP. See the note at the beginning of {ERC20}.
     *
     * Requirements:
     *
     * - `sender` and `recipient` cannot be the zero address.
     * - `sender` must have a balance of at least `amount`.
     * - the caller must have allowance for ``sender``'s tokens of at least
     * `amount`.
     */
    function transferFrom(address sender, address recipient, uint256 amount) public virtual override returns (bool) {
        _transfer(sender, recipient, amount);
        _approve(sender, _msgSender(), _allowances[sender][_msgSender()].sub(amount, "ERC20: transfer amount 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(_msgSender(), spender, _allowances[_msgSender()][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(_msgSender(), spender, _allowances[_msgSender()][spender].sub(subtractedValue, "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), "ERC20: transfer from the zero address");
        require(recipient != address(0), "ERC20: transfer to the zero address");
        _beforeTokenTransfer(sender, recipient, amount);
        _balances[sender] = _balances[sender].sub(amount, "ERC20: transfer amount exceeds balance");
        _balances[recipient] = _balances[recipient].add(amount);
        emit Transfer(sender, recipient, amount);
    }
    /** @dev Creates `amount` tokens and assigns them to `account`, increasing
     * the total supply.
     *
     * Emits a {Transfer} event with `from` set to the zero address.
     *
     * Requirements:
     *
     * - `to` cannot be the zero address.
     */
    function _mint(address account, uint256 amount) internal virtual {
        require(account != address(0), "ERC20: mint to the zero address");
        _beforeTokenTransfer(address(0), account, amount);
        _totalSupply = _totalSupply.add(amount);
        _balances[account] = _balances[account].add(amount);
        emit Transfer(address(0), account, amount);
    }
    /**
     * @dev Destroys `amount` tokens from `account`, reducing the
     * total supply.
     *
     * Emits a {Transfer} event with `to` set to the zero address.
     *
     * Requirements:
     *
     * - `account` cannot be the zero address.
     * - `account` must have at least `amount` tokens.
     */
    function _burn(address account, uint256 amount) internal virtual {
        require(account != address(0), "ERC20: burn from the zero address");
        _beforeTokenTransfer(account, address(0), amount);
        _balances[account] = _balances[account].sub(amount, "ERC20: burn amount 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 {
        require(owner != address(0), "ERC20: approve from the zero address");
        require(spender != address(0), "ERC20: approve to the zero address");
        _allowances[owner][spender] = amount;
        emit Approval(owner, spender, amount);
    }
    /**
     * @dev 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 virtual {
        _decimals = decimals_;
    }
    /**
     * @dev Hook that is called before any transfer of tokens. This includes
     * minting and burning.
     *
     * Calling conditions:
     *
     * - when `from` and `to` are both non-zero, `amount` of ``from``'s tokens
     * will be to transferred to `to`.
     * - when `from` is zero, `amount` tokens will be minted for `to`.
     * - when `to` is zero, `amount` of ``from``'s tokens will be burned.
     * - `from` and `to` are never both zero.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _beforeTokenTransfer(address from, address to, uint256 amount) internal virtual { }
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
import "../../utils/Context.sol";
import "./ERC20.sol";
/**
 * @dev Extension of {ERC20} that allows token holders to destroy both their own
 * tokens and those that they have an allowance for, in a way that can be
 * recognized off-chain (via event analysis).
 */
abstract contract ERC20Burnable is Context, ERC20 {
    using SafeMath for uint256;
    /**
     * @dev Destroys `amount` tokens from the caller.
     *
     * See {ERC20-_burn}.
     */
    function burn(uint256 amount) public virtual {
        _burn(_msgSender(), amount);
    }
    /**
     * @dev Destroys `amount` tokens from `account`, deducting from the caller's
     * allowance.
     *
     * See {ERC20-_burn} and {ERC20-allowance}.
     *
     * Requirements:
     *
     * - the caller must have allowance for ``accounts``'s tokens of at least
     * `amount`.
     */
    function burnFrom(address account, uint256 amount) public virtual {
        uint256 decreasedAllowance = allowance(account, _msgSender()).sub(amount, "ERC20: burn amount exceeds allowance");
        _approve(account, _msgSender(), decreasedAllowance);
        _burn(account, amount);
    }
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
/**
 * @dev Interface of the ERC20 standard as defined in the EIP.
 */
interface IERC20 {
    /**
     * @dev Returns the amount of tokens in existence.
     */
    function totalSupply() external view returns (uint256);
    /**
     * @dev Returns the amount of tokens owned by `account`.
     */
    function balanceOf(address account) external view returns (uint256);
    /**
     * @dev Moves `amount` tokens from the caller's account to `recipient`.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * Emits a {Transfer} event.
     */
    function transfer(address recipient, uint256 amount) external returns (bool);
    /**
     * @dev Returns the remaining number of tokens that `spender` will be
     * allowed to spend on behalf of `owner` through {transferFrom}. This is
     * zero by default.
     *
     * This value changes when {approve} or {transferFrom} are called.
     */
    function allowance(address owner, address spender) external view returns (uint256);
    /**
     * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * IMPORTANT: Beware that changing an allowance with this method brings the risk
     * that someone may use both the old and the new allowance by unfortunate
     * transaction ordering. One possible solution to mitigate this race
     * condition is to first reduce the spender's allowance to 0 and set the
     * desired value afterwards:
     * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
     *
     * Emits an {Approval} event.
     */
    function approve(address spender, uint256 amount) external returns (bool);
    /**
     * @dev Moves `amount` tokens from `sender` to `recipient` using the
     * allowance mechanism. `amount` is then deducted from the caller's
     * allowance.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * Emits a {Transfer} event.
     */
    function transferFrom(address sender, address recipient, uint256 amount) external returns (bool);
    /**
     * @dev Emitted when `value` tokens are moved from one account (`from`) to
     * another (`to`).
     *
     * Note that `value` may be zero.
     */
    event Transfer(address indexed from, address indexed to, uint256 value);
    /**
     * @dev Emitted when the allowance of a `spender` for an `owner` is set by
     * a call to {approve}. `value` is the new allowance.
     */
    event Approval(address indexed owner, address indexed spender, uint256 value);
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
import "./IERC20.sol";
import "../../math/SafeMath.sol";
import "../../utils/Address.sol";
/**
 * @title SafeERC20
 * @dev Wrappers around ERC20 operations that throw on failure (when the token
 * contract returns false). Tokens that return no value (and instead revert or
 * throw on failure) are also supported, non-reverting calls are assumed to be
 * successful.
 * To use this library you can add a `using SafeERC20 for IERC20;` statement to your contract,
 * which allows you to call the safe operations as `token.safeTransfer(...)`, etc.
 */
library SafeERC20 {
    using SafeMath for uint256;
    using Address for address;
    function safeTransfer(IERC20 token, address to, uint256 value) internal {
        _callOptionalReturn(token, abi.encodeWithSelector(token.transfer.selector, to, value));
    }
    function safeTransferFrom(IERC20 token, address from, address to, uint256 value) internal {
        _callOptionalReturn(token, abi.encodeWithSelector(token.transferFrom.selector, from, to, value));
    }
    /**
     * @dev Deprecated. This function has issues similar to the ones found in
     * {IERC20-approve}, and its usage is discouraged.
     *
     * Whenever possible, use {safeIncreaseAllowance} and
     * {safeDecreaseAllowance} instead.
     */
    function safeApprove(IERC20 token, address spender, uint256 value) internal {
        // safeApprove should only be called when setting an initial allowance,
        // or when resetting it to zero. To increase and decrease it, use
        // 'safeIncreaseAllowance' and 'safeDecreaseAllowance'
        // solhint-disable-next-line max-line-length
        require((value == 0) || (token.allowance(address(this), spender) == 0),
            "SafeERC20: approve from non-zero to non-zero allowance"
        );
        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, value));
    }
    function safeIncreaseAllowance(IERC20 token, address spender, uint256 value) internal {
        uint256 newAllowance = token.allowance(address(this), spender).add(value);
        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, newAllowance));
    }
    function safeDecreaseAllowance(IERC20 token, address spender, uint256 value) internal {
        uint256 newAllowance = token.allowance(address(this), spender).sub(value, "SafeERC20: decreased allowance below zero");
        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, newAllowance));
    }
    /**
     * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement
     * on the return value: the return value is optional (but if data is returned, it must not be false).
     * @param token The token targeted by the call.
     * @param data The call data (encoded using abi.encode or one of its variants).
     */
    function _callOptionalReturn(IERC20 token, bytes memory data) private {
        // We need to perform a low level call here, to bypass Solidity's return data size checking mechanism, since
        // we're implementing it ourselves. We use {Address.functionCall} to perform this call, which verifies that
        // the target address contains contract code and also asserts for success in the low-level call.
        bytes memory returndata = address(token).functionCall(data, "SafeERC20: low-level call failed");
        if (returndata.length > 0) { // Return data is optional
            // solhint-disable-next-line max-line-length
            require(abi.decode(returndata, (bool)), "SafeERC20: ERC20 operation did not succeed");
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.2 <0.8.0;
/**
 * @dev Collection of functions related to the address type
 */
library Address {
    /**
     * @dev Returns true if `account` is a contract.
     *
     * [IMPORTANT]
     * ====
     * It is unsafe to assume that an address for which this function returns
     * false is an externally-owned account (EOA) and not a contract.
     *
     * Among others, `isContract` will return false for the following
     * types of addresses:
     *
     *  - an externally-owned account
     *  - a contract in construction
     *  - an address where a contract will be created
     *  - an address where a contract lived, but was destroyed
     * ====
     */
    function isContract(address account) internal view returns (bool) {
        // This method relies on extcodesize, which returns 0 for contracts in
        // construction, since the code is only stored at the end of the
        // constructor execution.
        uint256 size;
        // solhint-disable-next-line no-inline-assembly
        assembly { size := extcodesize(account) }
        return size > 0;
    }
    /**
     * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
     * `recipient`, forwarding all available gas and reverting on errors.
     *
     * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
     * of certain opcodes, possibly making contracts go over the 2300 gas limit
     * imposed by `transfer`, making them unable to receive funds via
     * `transfer`. {sendValue} removes this limitation.
     *
     * https://diligence.consensys.net/posts/2019/09/stop-using-soliditys-transfer-now/[Learn more].
     *
     * IMPORTANT: because control is transferred to `recipient`, care must be
     * taken to not create reentrancy vulnerabilities. Consider using
     * {ReentrancyGuard} or the
     * https://solidity.readthedocs.io/en/v0.5.11/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
     */
    function sendValue(address payable recipient, uint256 amount) internal {
        require(address(this).balance >= amount, "Address: insufficient balance");
        // solhint-disable-next-line avoid-low-level-calls, avoid-call-value
        (bool success, ) = recipient.call{ value: amount }("");
        require(success, "Address: unable to send value, recipient may have reverted");
    }
    /**
     * @dev Performs a Solidity function call using a low level `call`. A
     * plain`call` is an unsafe replacement for a function call: use this
     * function instead.
     *
     * If `target` reverts with a revert reason, it is bubbled up by this
     * function (like regular Solidity function calls).
     *
     * Returns the raw returned data. To convert to the expected return value,
     * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
     *
     * Requirements:
     *
     * - `target` must be a contract.
     * - calling `target` with `data` must not revert.
     *
     * _Available since v3.1._
     */
    function functionCall(address target, bytes memory data) internal returns (bytes memory) {
      return functionCall(target, data, "Address: low-level call failed");
    }
    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
     * `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCall(address target, bytes memory data, string memory errorMessage) internal returns (bytes memory) {
        return functionCallWithValue(target, data, 0, errorMessage);
    }
    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but also transferring `value` wei to `target`.
     *
     * Requirements:
     *
     * - the calling contract must have an ETH balance of at least `value`.
     * - the called Solidity function must be `payable`.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(address target, bytes memory data, uint256 value) internal returns (bytes memory) {
        return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
    }
    /**
     * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
     * with `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(address target, bytes memory data, uint256 value, string memory errorMessage) internal returns (bytes memory) {
        require(address(this).balance >= value, "Address: insufficient balance for call");
        require(isContract(target), "Address: call to non-contract");
        // solhint-disable-next-line avoid-low-level-calls
        (bool success, bytes memory returndata) = target.call{ value: value }(data);
        return _verifyCallResult(success, returndata, errorMessage);
    }
    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
        return functionStaticCall(target, data, "Address: low-level static call failed");
    }
    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(address target, bytes memory data, string memory errorMessage) internal view returns (bytes memory) {
        require(isContract(target), "Address: static call to non-contract");
        // solhint-disable-next-line avoid-low-level-calls
        (bool success, bytes memory returndata) = target.staticcall(data);
        return _verifyCallResult(success, returndata, errorMessage);
    }
    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a delegate call.
     *
     * _Available since v3.4._
     */
    function functionDelegateCall(address target, bytes memory data) internal returns (bytes memory) {
        return functionDelegateCall(target, data, "Address: low-level delegate call failed");
    }
    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a delegate call.
     *
     * _Available since v3.4._
     */
    function functionDelegateCall(address target, bytes memory data, string memory errorMessage) internal returns (bytes memory) {
        require(isContract(target), "Address: delegate call to non-contract");
        // solhint-disable-next-line avoid-low-level-calls
        (bool success, bytes memory returndata) = target.delegatecall(data);
        return _verifyCallResult(success, returndata, errorMessage);
    }
    function _verifyCallResult(bool success, bytes memory returndata, string memory errorMessage) private pure returns(bytes memory) {
        if (success) {
            return returndata;
        } else {
            // Look for revert reason and bubble it up if present
            if (returndata.length > 0) {
                // The easiest way to bubble the revert reason is using memory via assembly
                // solhint-disable-next-line no-inline-assembly
                assembly {
                    let returndata_size := mload(returndata)
                    revert(add(32, returndata), returndata_size)
                }
            } else {
                revert(errorMessage);
            }
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
/*
 * @dev Provides information about the current execution context, including the
 * sender of the transaction and its data. While these are generally available
 * via msg.sender and msg.data, they should not be accessed in such a direct
 * manner, since when dealing with GSN meta-transactions the account sending and
 * paying for execution may not be the actual sender (as far as an application
 * is concerned).
 *
 * This contract is only required for intermediate, library-like contracts.
 */
abstract contract Context {
    function _msgSender() internal view virtual returns (address payable) {
        return msg.sender;
    }
    function _msgData() internal view virtual returns (bytes memory) {
        this; // silence state mutability warning without generating bytecode - see https://github.com/ethereum/solidity/issues/2691
        return msg.data;
    }
}
// SPDX-License-Identifier: MIT
pragma solidity 0.6.12;
import "@openzeppelin/contracts/token/ERC20/ERC20Burnable.sol";
import "@openzeppelin/contracts/access/Ownable.sol";
import "@openzeppelin/contracts/math/SafeMath.sol";
import "./interfaces/ISwap.sol";
/**
 * @title Liquidity Provider Token
 * @notice This token is an ERC20 detailed token with added capability to be minted by the owner.
 * It is used to represent user's shares when providing liquidity to swap contracts.
 */
contract LPToken is ERC20Burnable, Ownable {
    using SafeMath for uint256;
    // Address of the swap contract that owns this LP token. When a user adds liquidity to the swap contract,
    // they receive a proportionate amount of this LPToken.
    ISwap public swap;
    /**
     * @notice Deploys LPToken contract with given name, symbol, and decimals
     * @dev the caller of this constructor will become the owner of this contract
     * @param name_ name of this token
     * @param symbol_ symbol of this token
     * @param decimals_ number of decimals this token will be based on
     */
    constructor(
        string memory name_,
        string memory symbol_,
        uint8 decimals_
    ) public ERC20(name_, symbol_) {
        _setupDecimals(decimals_);
        swap = ISwap(_msgSender());
    }
    /**
     * @notice Mints the given amount of LPToken to the recipient.
     * @dev only owner can call this mint function
     * @param recipient address of account to receive the tokens
     * @param amount amount of tokens to mint
     */
    function mint(address recipient, uint256 amount) external onlyOwner {
        require(amount != 0, "amount == 0");
        _mint(recipient, amount);
    }
    /**
     * @dev Overrides ERC20._beforeTokenTransfer() which get called on every transfers including
     * minting and burning. This ensures that swap.updateUserWithdrawFees are called everytime.
     */
    function _beforeTokenTransfer(
        address from,
        address to,
        uint256 amount
    ) internal override(ERC20) {
        super._beforeTokenTransfer(from, to, amount);
        swap.updateUserWithdrawFee(to, amount);
    }
}
// SPDX-License-Identifier: MIT
pragma solidity 0.6.12;
import "@openzeppelin/contracts/math/SafeMath.sol";
/**
 * @title MathUtils library
 * @notice A library to be used in conjunction with SafeMath. Contains functions for calculating
 * differences between two uint256.
 */
library MathUtils {
    /**
     * @notice Compares a and b and returns true if the difference between a and b
     *         is less than 1 or equal to each other.
     * @param a uint256 to compare with
     * @param b uint256 to compare with
     * @return True if the difference between a and b is less than 1 or equal,
     *         otherwise return false
     */
    function within1(uint256 a, uint256 b) external pure returns (bool) {
        return (_difference(a, b) <= 1);
    }
    /**
     * @notice Calculates absolute difference between a and b
     * @param a uint256 to compare with
     * @param b uint256 to compare with
     * @return Difference between a and b
     */
    function difference(uint256 a, uint256 b) external pure returns (uint256) {
        return _difference(a, b);
    }
    /**
     * @notice Calculates absolute difference between a and b
     * @param a uint256 to compare with
     * @param b uint256 to compare with
     * @return Difference between a and b
     */
    function _difference(uint256 a, uint256 b) internal pure returns (uint256) {
        if (a > b) {
            return a - b;
        }
        return b - a;
    }
}
// SPDX-License-Identifier: MIT
pragma solidity 0.6.12;
import "@openzeppelin/contracts-upgradeable/access/OwnableUpgradeable.sol";
import "@openzeppelin/contracts-upgradeable/utils/PausableUpgradeable.sol";
/**
 * @title OwnerPausable
 * @notice An ownable contract allows the owner to pause and unpause the
 * contract without a delay.
 * @dev Only methods using the provided modifiers will be paused.
 */
abstract contract OwnerPausableUpgradeable is
    OwnableUpgradeable,
    PausableUpgradeable
{
    function __OwnerPausable_init() internal initializer {
        __Context_init_unchained();
        __Ownable_init_unchained();
        __Pausable_init_unchained();
    }
    /**
     * @notice Pause the contract. Revert if already paused.
     */
    function pause() external onlyOwner {
        PausableUpgradeable._pause();
    }
    /**
     * @notice Unpause the contract. Revert if already unpaused.
     */
    function unpause() external onlyOwner {
        PausableUpgradeable._unpause();
    }
}
// SPDX-License-Identifier: MIT
pragma solidity 0.6.12;
import "@openzeppelin/contracts/math/SafeMath.sol";
import "@openzeppelin/contracts/token/ERC20/SafeERC20.sol";
import "@openzeppelin/contracts-upgradeable/utils/ReentrancyGuardUpgradeable.sol";
import "./OwnerPausableUpgradeable.sol";
import "./SwapUtils.sol";
import "./MathUtils.sol";
/**
 * @title Swap - A StableSwap implementation in solidity.
 * @notice This contract is responsible for custody of closely pegged assets (eg. group of stablecoins)
 * and automatic market making system. Users become an LP (Liquidity Provider) by depositing their tokens
 * in desired ratios for an exchange of the pool token that represents their share of the pool.
 * Users can burn pool tokens and withdraw their share of token(s).
 *
 * Each time a swap between the pooled tokens happens, a set fee incurs which effectively gets
 * distributed to the LPs.
 *
 * In case of emergencies, admin can pause additional deposits, swaps, or single-asset withdraws - which
 * stops the ratio of the tokens in the pool from changing.
 * Users can always withdraw their tokens via multi-asset withdraws.
 *
 * @dev Most of the logic is stored as a library `SwapUtils` for the sake of reducing contract's
 * deployment size.
 */
contract Swap is OwnerPausableUpgradeable, ReentrancyGuardUpgradeable {
    using SafeERC20 for IERC20;
    using SafeMath for uint256;
    using MathUtils for uint256;
    using SwapUtils for SwapUtils.Swap;
    // Struct storing data responsible for automatic market maker functionalities. In order to
    // access this data, this contract uses SwapUtils library. For more details, see SwapUtils.sol
    SwapUtils.Swap public swapStorage;
    // True if the contract is initialized.
    bool private initialized = false;
    // Maps token address to an index in the pool. Used to prevent duplicate tokens in the pool.
    // getTokenIndex function also relies on this mapping to retrieve token index.
    mapping(address => uint8) private tokenIndexes;
    /*** EVENTS ***/
    // events replicated from SwapUtils to make the ABI easier for dumb
    // clients
    event TokenSwap(
        address indexed buyer,
        uint256 tokensSold,
        uint256 tokensBought,
        uint128 soldId,
        uint128 boughtId
    );
    event AddLiquidity(
        address indexed provider,
        uint256[] tokenAmounts,
        uint256[] fees,
        uint256 invariant,
        uint256 lpTokenSupply
    );
    event RemoveLiquidity(
        address indexed provider,
        uint256[] tokenAmounts,
        uint256 lpTokenSupply
    );
    event RemoveLiquidityOne(
        address indexed provider,
        uint256 lpTokenAmount,
        uint256 lpTokenSupply,
        uint256 boughtId,
        uint256 tokensBought
    );
    event RemoveLiquidityImbalance(
        address indexed provider,
        uint256[] tokenAmounts,
        uint256[] fees,
        uint256 invariant,
        uint256 lpTokenSupply
    );
    event NewAdminFee(uint256 newAdminFee);
    event NewSwapFee(uint256 newSwapFee);
    event NewWithdrawFee(uint256 newWithdrawFee);
    event RampA(
        uint256 oldA,
        uint256 newA,
        uint256 initialTime,
        uint256 futureTime
    );
    event StopRampA(uint256 currentA, uint256 time);
    /**
     * @notice Initializes this Swap contract with the given parameters.
     * This will also deploy the LPToken that represents users
     * LP position. The owner of LPToken will be this contract - which means
     * only this contract is allowed to mint new tokens.
     *
     * @param _pooledTokens an array of ERC20s this pool will accept
     * @param decimals the decimals to use for each pooled token,
     * eg 8 for WBTC. Cannot be larger than POOL_PRECISION_DECIMALS
     * @param lpTokenName the long-form name of the token to be deployed
     * @param lpTokenSymbol the short symbol for the token to be deployed
     * @param _a the amplification coefficient * n * (n - 1). See the
     * StableSwap paper for details
     * @param _fee default swap fee to be initialized with
     * @param _adminFee default adminFee to be initialized with
     * @param _withdrawFee default withdrawFee to be initialized with
     */
    function initialize(
        IERC20[] memory _pooledTokens,
        uint8[] memory decimals,
        string memory lpTokenName,
        string memory lpTokenSymbol,
        uint256 _a,
        uint256 _fee,
        uint256 _adminFee,
        uint256 _withdrawFee
    ) public virtual initializer {
        __OwnerPausable_init();
        __ReentrancyGuard_init();
        // Check _pooledTokens and precisions parameter
        require(_pooledTokens.length > 1, "_pooledTokens.length <= 1");
        require(_pooledTokens.length <= 32, "_pooledTokens.length > 32");
        require(
            _pooledTokens.length == decimals.length,
            "_pooledTokens decimals mismatch"
        );
        uint256[] memory precisionMultipliers = new uint256[](decimals.length);
        for (uint8 i = 0; i < _pooledTokens.length; i++) {
            if (i > 0) {
                // Check if index is already used. Check if 0th element is a duplicate.
                require(
                    tokenIndexes[address(_pooledTokens[i])] == 0 &&
                        _pooledTokens[0] != _pooledTokens[i],
                    "Duplicate tokens"
                );
            }
            require(
                address(_pooledTokens[i]) != address(0),
                "The 0 address isn't an ERC-20"
            );
            require(
                decimals[i] <= SwapUtils.POOL_PRECISION_DECIMALS,
                "Token decimals exceeds max"
            );
            precisionMultipliers[i] =
                10 **
                    uint256(SwapUtils.POOL_PRECISION_DECIMALS).sub(
                        uint256(decimals[i])
                    );
            tokenIndexes[address(_pooledTokens[i])] = i;
        }
        // Check _a, _fee, _adminFee, _withdrawFee parameters
        require(_a < SwapUtils.MAX_A, "_a exceeds maximum");
        require(_fee < SwapUtils.MAX_SWAP_FEE, "_fee exceeds maximum");
        require(
            _adminFee < SwapUtils.MAX_ADMIN_FEE,
            "_adminFee exceeds maximum"
        );
        require(
            _withdrawFee < SwapUtils.MAX_WITHDRAW_FEE,
            "_withdrawFee exceeds maximum"
        );
        // Initialize swapStorage struct
        swapStorage.lpToken = new LPToken(
            lpTokenName,
            lpTokenSymbol,
            SwapUtils.POOL_PRECISION_DECIMALS
        );
        swapStorage.pooledTokens = _pooledTokens;
        swapStorage.tokenPrecisionMultipliers = precisionMultipliers;
        swapStorage.balances = new uint256[](_pooledTokens.length);
        swapStorage.initialA = _a.mul(SwapUtils.A_PRECISION);
        swapStorage.futureA = _a.mul(SwapUtils.A_PRECISION);
        swapStorage.initialATime = 0;
        swapStorage.futureATime = 0;
        swapStorage.swapFee = _fee;
        swapStorage.adminFee = _adminFee;
        swapStorage.defaultWithdrawFee = _withdrawFee;
    }
    /*** MODIFIERS ***/
    /**
     * @notice Modifier to check deadline against current timestamp
     * @param deadline latest timestamp to accept this transaction
     */
    modifier deadlineCheck(uint256 deadline) {
        require(block.timestamp <= deadline, "Deadline not met");
        _;
    }
    /*** VIEW FUNCTIONS ***/
    /**
     * @notice Return A, the amplification coefficient * n * (n - 1)
     * @dev See the StableSwap paper for details
     * @return A parameter
     */
    function getA() external view returns (uint256) {
        return swapStorage.getA();
    }
    /**
     * @notice Return A in its raw precision form
     * @dev See the StableSwap paper for details
     * @return A parameter in its raw precision form
     */
    function getAPrecise() external view returns (uint256) {
        return swapStorage.getAPrecise();
    }
    /**
     * @notice Return address of the pooled token at given index. Reverts if tokenIndex is out of range.
     * @param index the index of the token
     * @return address of the token at given index
     */
    function getToken(uint8 index) public view returns (IERC20) {
        require(index < swapStorage.pooledTokens.length, "Out of range");
        return swapStorage.pooledTokens[index];
    }
    /**
     * @notice Return the index of the given token address. Reverts if no matching
     * token is found.
     * @param tokenAddress address of the token
     * @return the index of the given token address
     */
    function getTokenIndex(address tokenAddress) public view returns (uint8) {
        uint8 index = tokenIndexes[tokenAddress];
        require(
            address(getToken(index)) == tokenAddress,
            "Token does not exist"
        );
        return index;
    }
    /**
     * @notice Return timestamp of last deposit of given address
     * @return timestamp of the last deposit made by the given address
     */
    function getDepositTimestamp(address user) external view returns (uint256) {
        return swapStorage.getDepositTimestamp(user);
    }
    /**
     * @notice Return current balance of the pooled token at given index
     * @param index the index of the token
     * @return current balance of the pooled token at given index with token's native precision
     */
    function getTokenBalance(uint8 index) external view returns (uint256) {
        require(index < swapStorage.pooledTokens.length, "Index out of range");
        return swapStorage.balances[index];
    }
    /**
     * @notice Get the virtual price, to help calculate profit
     * @return the virtual price, scaled to the POOL_PRECISION_DECIMALS
     */
    function getVirtualPrice() external view returns (uint256) {
        return swapStorage.getVirtualPrice();
    }
    /**
     * @notice Calculate amount of tokens you receive on swap
     * @param tokenIndexFrom the token the user wants to sell
     * @param tokenIndexTo the token the user wants to buy
     * @param dx the amount of tokens the user wants to sell. If the token charges
     * a fee on transfers, use the amount that gets transferred after the fee.
     * @return amount of tokens the user will receive
     */
    function calculateSwap(
        uint8 tokenIndexFrom,
        uint8 tokenIndexTo,
        uint256 dx
    ) external view returns (uint256) {
        return swapStorage.calculateSwap(tokenIndexFrom, tokenIndexTo, dx);
    }
    /**
     * @notice A simple method to calculate prices from deposits or
     * withdrawals, excluding fees but including slippage. This is
     * helpful as an input into the various "min" parameters on calls
     * to fight front-running
     *
     * @dev This shouldn't be used outside frontends for user estimates.
     *
     * @param account address that is depositing or withdrawing tokens
     * @param amounts an array of token amounts to deposit or withdrawal,
     * corresponding to pooledTokens. The amount should be in each
     * pooled token's native precision. If a token charges a fee on transfers,
     * use the amount that gets transferred after the fee.
     * @param deposit whether this is a deposit or a withdrawal
     * @return token amount the user will receive
     */
    function calculateTokenAmount(
        address account,
        uint256[] calldata amounts,
        bool deposit
    ) external view returns (uint256) {
        return swapStorage.calculateTokenAmount(account, amounts, deposit);
    }
    /**
     * @notice A simple method to calculate amount of each underlying
     * tokens that is returned upon burning given amount of LP tokens
     * @param account the address that is withdrawing tokens
     * @param amount the amount of LP tokens that would be burned on withdrawal
     * @return array of token balances that the user will receive
     */
    function calculateRemoveLiquidity(address account, uint256 amount)
        external
        view
        returns (uint256[] memory)
    {
        return swapStorage.calculateRemoveLiquidity(account, amount);
    }
    /**
     * @notice Calculate the amount of underlying token available to withdraw
     * when withdrawing via only single token
     * @param account the address that is withdrawing tokens
     * @param tokenAmount the amount of LP token to burn
     * @param tokenIndex index of which token will be withdrawn
     * @return availableTokenAmount calculated amount of underlying token
     * available to withdraw
     */
    function calculateRemoveLiquidityOneToken(
        address account,
        uint256 tokenAmount,
        uint8 tokenIndex
    ) external view returns (uint256 availableTokenAmount) {
        (availableTokenAmount, ) = swapStorage.calculateWithdrawOneToken(
            account,
            tokenAmount,
            tokenIndex
        );
    }
    /**
     * @notice Calculate the fee that is applied when the given user withdraws. The withdraw fee
     * decays linearly over period of 4 weeks. For example, depositing and withdrawing right away
     * will charge you the full amount of withdraw fee. But withdrawing after 4 weeks will charge you
     * no additional fees.
     * @dev returned value should be divided by FEE_DENOMINATOR to convert to correct decimals
     * @param user address you want to calculate withdraw fee of
     * @return current withdraw fee of the user
     */
    function calculateCurrentWithdrawFee(address user)
        external
        view
        returns (uint256)
    {
        return swapStorage.calculateCurrentWithdrawFee(user);
    }
    /**
     * @notice This function reads the accumulated amount of admin fees of the token with given index
     * @param index Index of the pooled token
     * @return admin's token balance in the token's precision
     */
    function getAdminBalance(uint256 index) external view returns (uint256) {
        return swapStorage.getAdminBalance(index);
    }
    /*** STATE MODIFYING FUNCTIONS ***/
    /**
     * @notice Swap two tokens using this pool
     * @param tokenIndexFrom the token the user wants to swap from
     * @param tokenIndexTo the token the user wants to swap to
     * @param dx the amount of tokens the user wants to swap from
     * @param minDy the min amount the user would like to receive, or revert.
     * @param deadline latest timestamp to accept this transaction
     */
    function swap(
        uint8 tokenIndexFrom,
        uint8 tokenIndexTo,
        uint256 dx,
        uint256 minDy,
        uint256 deadline
    )
        external
        nonReentrant
        whenNotPaused
        deadlineCheck(deadline)
        returns (uint256)
    {
        return swapStorage.swap(tokenIndexFrom, tokenIndexTo, dx, minDy);
    }
    /**
     * @notice Add liquidity to the pool with the given amounts of tokens
     * @param amounts the amounts of each token to add, in their native precision
     * @param minToMint the minimum LP tokens adding this amount of liquidity
     * should mint, otherwise revert. Handy for front-running mitigation
     * @param deadline latest timestamp to accept this transaction
     * @return amount of LP token user minted and received
     */
    function addLiquidity(
        uint256[] calldata amounts,
        uint256 minToMint,
        uint256 deadline
    )
        external
        nonReentrant
        whenNotPaused
        deadlineCheck(deadline)
        returns (uint256)
    {
        return swapStorage.addLiquidity(amounts, minToMint);
    }
    /**
     * @notice Burn LP tokens to remove liquidity from the pool. Withdraw fee that decays linearly
     * over period of 4 weeks since last deposit will apply.
     * @dev Liquidity can always be removed, even when the pool is paused.
     * @param amount the amount of LP tokens to burn
     * @param minAmounts the minimum amounts of each token in the pool
     *        acceptable for this burn. Useful as a front-running mitigation
     * @param deadline latest timestamp to accept this transaction
     * @return amounts of tokens user received
     */
    function removeLiquidity(
        uint256 amount,
        uint256[] calldata minAmounts,
        uint256 deadline
    ) external nonReentrant deadlineCheck(deadline) returns (uint256[] memory) {
        return swapStorage.removeLiquidity(amount, minAmounts);
    }
    /**
     * @notice Remove liquidity from the pool all in one token. Withdraw fee that decays linearly
     * over period of 4 weeks since last deposit will apply.
     * @param tokenAmount the amount of the token you want to receive
     * @param tokenIndex the index of the token you want to receive
     * @param minAmount the minimum amount to withdraw, otherwise revert
     * @param deadline latest timestamp to accept this transaction
     * @return amount of chosen token user received
     */
    function removeLiquidityOneToken(
        uint256 tokenAmount,
        uint8 tokenIndex,
        uint256 minAmount,
        uint256 deadline
    )
        external
        nonReentrant
        whenNotPaused
        deadlineCheck(deadline)
        returns (uint256)
    {
        return
            swapStorage.removeLiquidityOneToken(
                tokenAmount,
                tokenIndex,
                minAmount
            );
    }
    /**
     * @notice Remove liquidity from the pool, weighted differently than the
     * pool's current balances. Withdraw fee that decays linearly
     * over period of 4 weeks since last deposit will apply.
     * @param amounts how much of each token to withdraw
     * @param maxBurnAmount the max LP token provider is willing to pay to
     * remove liquidity. Useful as a front-running mitigation.
     * @param deadline latest timestamp to accept this transaction
     * @return amount of LP tokens burned
     */
    function removeLiquidityImbalance(
        uint256[] calldata amounts,
        uint256 maxBurnAmount,
        uint256 deadline
    )
        external
        nonReentrant
        whenNotPaused
        deadlineCheck(deadline)
        returns (uint256)
    {
        return swapStorage.removeLiquidityImbalance(amounts, maxBurnAmount);
    }
    /*** ADMIN FUNCTIONS ***/
    /**
     * @notice Updates the user withdraw fee. This function can only be called by
     * the pool token. Should be used to update the withdraw fee on transfer of pool tokens.
     * Transferring your pool token will reset the 4 weeks period. If the recipient is already
     * holding some pool tokens, the withdraw fee will be discounted in respective amounts.
     * @param recipient address of the recipient of pool token
     * @param transferAmount amount of pool token to transfer
     */
    function updateUserWithdrawFee(address recipient, uint256 transferAmount)
        external
    {
        require(
            msg.sender == address(swapStorage.lpToken),
            "Only callable by pool token"
        );
        swapStorage.updateUserWithdrawFee(recipient, transferAmount);
    }
    /**
     * @notice Withdraw all admin fees to the contract owner
     */
    function withdrawAdminFees() external onlyOwner {
        swapStorage.withdrawAdminFees(owner());
    }
    /**
     * @notice Update the admin fee. Admin fee takes portion of the swap fee.
     * @param newAdminFee new admin fee to be applied on future transactions
     */
    function setAdminFee(uint256 newAdminFee) external onlyOwner {
        swapStorage.setAdminFee(newAdminFee);
    }
    /**
     * @notice Update the swap fee to be applied on swaps
     * @param newSwapFee new swap fee to be applied on future transactions
     */
    function setSwapFee(uint256 newSwapFee) external onlyOwner {
        swapStorage.setSwapFee(newSwapFee);
    }
    /**
     * @notice Update the withdraw fee. This fee decays linearly over 4 weeks since
     * user's last deposit.
     * @param newWithdrawFee new withdraw fee to be applied on future deposits
     */
    function setDefaultWithdrawFee(uint256 newWithdrawFee) external onlyOwner {
        swapStorage.setDefaultWithdrawFee(newWithdrawFee);
    }
    /**
     * @notice Start ramping up or down A parameter towards given futureA and futureTime
     * Checks if the change is too rapid, and commits the new A value only when it falls under
     * the limit range.
     * @param futureA the new A to ramp towards
     * @param futureTime timestamp when the new A should be reached
     */
    function rampA(uint256 futureA, uint256 futureTime) external onlyOwner {
        swapStorage.rampA(futureA, futureTime);
    }
    /**
     * @notice Stop ramping A immediately. Reverts if ramp A is already stopped.
     */
    function stopRampA() external onlyOwner {
        swapStorage.stopRampA();
    }
}
// SPDX-License-Identifier: MIT WITH AGPL-3.0-only
pragma solidity 0.6.12;
import "./Swap.sol";
import "./interfaces/IFlashLoanReceiver.sol";
/**
 * @title Swap - A StableSwap implementation in solidity.
 * @notice This contract is responsible for custody of closely pegged assets (eg. group of stablecoins)
 * and automatic market making system. Users become an LP (Liquidity Provider) by depositing their tokens
 * in desired ratios for an exchange of the pool token that represents their share of the pool.
 * Users can burn pool tokens and withdraw their share of token(s).
 *
 * Each time a swap between the pooled tokens happens, a set fee incurs which effectively gets
 * distributed to the LPs.
 *
 * In case of emergencies, admin can pause additional deposits, swaps, or single-asset withdraws - which
 * stops the ratio of the tokens in the pool from changing.
 * Users can always withdraw their tokens via multi-asset withdraws.
 *
 * @dev Most of the logic is stored as a library `SwapUtils` for the sake of reducing contract's
 * deployment size.
 */
contract SwapFlashLoan is Swap {
    // Total fee that is charged on all flashloans in BPS. Borrowers must repay the amount plus the flash loan fee.
    // This fee is split between the protocol and the pool.
    uint256 public flashLoanFeeBPS;
    // Share of the flash loan fee that goes to the protocol in BPS. A portion of each flash loan fee is allocated
    // to the protocol rather than the pool.
    uint256 public protocolFeeShareBPS;
    // Max BPS for limiting flash loan fee settings.
    uint256 public constant MAX_BPS = 10000;
    /*** EVENTS ***/
    event FlashLoan(
        address indexed receiver,
        uint8 tokenIndex,
        uint256 amount,
        uint256 amountFee,
        uint256 protocolFee
    );
    /**
     * @notice Initializes this Swap contract with the given parameters.
     * This will also deploy the LPToken that represents users
     * LP position. The owner of LPToken will be this contract - which means
     * only this contract is allowed to mint new tokens.
     *
     * @param _pooledTokens an array of ERC20s this pool will accept
     * @param decimals the decimals to use for each pooled token,
     * eg 8 for WBTC. Cannot be larger than POOL_PRECISION_DECIMALS
     * @param lpTokenName the long-form name of the token to be deployed
     * @param lpTokenSymbol the short symbol for the token to be deployed
     * @param _a the amplification coefficient * n * (n - 1). See the
     * StableSwap paper for details
     * @param _fee default swap fee to be initialized with
     * @param _adminFee default adminFee to be initialized with
     * @param _withdrawFee default withdrawFee to be initialized with
     */
    function initialize(
        IERC20[] memory _pooledTokens,
        uint8[] memory decimals,
        string memory lpTokenName,
        string memory lpTokenSymbol,
        uint256 _a,
        uint256 _fee,
        uint256 _adminFee,
        uint256 _withdrawFee
    ) public virtual override initializer {
        Swap.initialize(
            _pooledTokens,
            decimals,
            lpTokenName,
            lpTokenSymbol,
            _a,
            _fee,
            _adminFee,
            _withdrawFee
        );
        flashLoanFeeBPS = 8; // 8 bps
        protocolFeeShareBPS = 0; // 0 bps
    }
    /*** STATE MODIFYING FUNCTIONS ***/
    /**
     * @notice Borrow the specified token from this pool for this transaction only. This function will call
     * `IFlashLoanReceiver(receiver).executeOperation` and the `receiver` must return the full amount of the token
     * and the associated fee by the end of the callback transaction. If the conditions are not met, this call
     * is reverted.
     * @param receiver the address of the receiver of the token. This address must implement the IFlashLoanReceiver
     * interface and the callback function `executeOperation`.
     * @param token the protocol fee in bps to be applied on the total flash loan fee
     * @param amount the total amount to borrow in this transaction
     * @param params optional data to pass along to the callback function
     */
    function flashLoan(
        address receiver,
        IERC20 token,
        uint256 amount,
        bytes memory params
    ) external nonReentrant {
        uint8 tokenIndex = getTokenIndex(address(token));
        uint256 availableLiquidityBefore = token.balanceOf(address(this));
        uint256 protocolBalanceBefore =
            availableLiquidityBefore.sub(swapStorage.balances[tokenIndex]);
        require(
            amount > 0 && availableLiquidityBefore >= amount,
            "invalid amount"
        );
        // Calculate the additional amount of tokens the pool should end up with
        uint256 amountFee = amount.mul(flashLoanFeeBPS).div(10000);
        // Calculate the portion of the fee that will go to the protocol
        uint256 protocolFee = amountFee.mul(protocolFeeShareBPS).div(10000);
        require(amountFee > 0, "amount is small for a flashLoan");
        // Transfer the requested amount of tokens
        token.safeTransfer(receiver, amount);
        // Execute callback function on receiver
        IFlashLoanReceiver(receiver).executeOperation(
            address(this),
            address(token),
            amount,
            amountFee,
            params
        );
        uint256 availableLiquidityAfter = token.balanceOf(address(this));
        require(
            availableLiquidityAfter >= availableLiquidityBefore.add(amountFee),
            "flashLoan fee is not met"
        );
        swapStorage.balances[tokenIndex] = availableLiquidityAfter
            .sub(protocolBalanceBefore)
            .sub(protocolFee);
        emit FlashLoan(receiver, tokenIndex, amount, amountFee, protocolFee);
    }
    /*** ADMIN FUNCTIONS ***/
    /**
     * @notice Updates the flash loan fee parameters. This function can only be called by the owner.
     * @param newFlashLoanFeeBPS the total fee in bps to be applied on future flash loans
     * @param newProtocolFeeShareBPS the protocol fee in bps to be applied on the total flash loan fee
     */
    function setFlashLoanFees(
        uint256 newFlashLoanFeeBPS,
        uint256 newProtocolFeeShareBPS
    ) external onlyOwner {
        require(
            newFlashLoanFeeBPS > 0 &&
                newFlashLoanFeeBPS <= MAX_BPS &&
                newProtocolFeeShareBPS <= MAX_BPS,
            "fees are not in valid range"
        );
        flashLoanFeeBPS = newFlashLoanFeeBPS;
        protocolFeeShareBPS = newProtocolFeeShareBPS;
    }
}
// SPDX-License-Identifier: MIT
pragma solidity 0.6.12;
import "@openzeppelin/contracts/math/SafeMath.sol";
import "@openzeppelin/contracts/token/ERC20/SafeERC20.sol";
import "./LPToken.sol";
import "./MathUtils.sol";
/**
 * @title SwapUtils library
 * @notice A library to be used within Swap.sol. Contains functions responsible for custody and AMM functionalities.
 * @dev Contracts relying on this library must initialize SwapUtils.Swap struct then use this library
 * for SwapUtils.Swap struct. Note that this library contains both functions called by users and admins.
 * Admin functions should be protected within contracts using this library.
 */
library SwapUtils {
    using SafeERC20 for IERC20;
    using SafeMath for uint256;
    using MathUtils for uint256;
    /*** EVENTS ***/
    event TokenSwap(
        address indexed buyer,
        uint256 tokensSold,
        uint256 tokensBought,
        uint128 soldId,
        uint128 boughtId
    );
    event AddLiquidity(
        address indexed provider,
        uint256[] tokenAmounts,
        uint256[] fees,
        uint256 invariant,
        uint256 lpTokenSupply
    );
    event RemoveLiquidity(
        address indexed provider,
        uint256[] tokenAmounts,
        uint256 lpTokenSupply
    );
    event RemoveLiquidityOne(
        address indexed provider,
        uint256 lpTokenAmount,
        uint256 lpTokenSupply,
        uint256 boughtId,
        uint256 tokensBought
    );
    event RemoveLiquidityImbalance(
        address indexed provider,
        uint256[] tokenAmounts,
        uint256[] fees,
        uint256 invariant,
        uint256 lpTokenSupply
    );
    event NewAdminFee(uint256 newAdminFee);
    event NewSwapFee(uint256 newSwapFee);
    event NewWithdrawFee(uint256 newWithdrawFee);
    event RampA(
        uint256 oldA,
        uint256 newA,
        uint256 initialTime,
        uint256 futureTime
    );
    event StopRampA(uint256 currentA, uint256 time);
    struct Swap {
        // variables around the ramp management of A,
        // the amplification coefficient * n * (n - 1)
        // see https://www.curve.fi/stableswap-paper.pdf for details
        uint256 initialA;
        uint256 futureA;
        uint256 initialATime;
        uint256 futureATime;
        // fee calculation
        uint256 swapFee;
        uint256 adminFee;
        uint256 defaultWithdrawFee;
        LPToken lpToken;
        // contract references for all tokens being pooled
        IERC20[] pooledTokens;
        // multipliers for each pooled token's precision to get to POOL_PRECISION_DECIMALS
        // for example, TBTC has 18 decimals, so the multiplier should be 1. WBTC
        // has 8, so the multiplier should be 10 ** 18 / 10 ** 8 => 10 ** 10
        uint256[] tokenPrecisionMultipliers;
        // the pool balance of each token, in the token's precision
        // the contract's actual token balance might differ
        uint256[] balances;
        mapping(address => uint256) depositTimestamp;
        mapping(address => uint256) withdrawFeeMultiplier;
    }
    // Struct storing variables used in calculations in the
    // calculateWithdrawOneTokenDY function to avoid stack too deep errors
    struct CalculateWithdrawOneTokenDYInfo {
        uint256 d0;
        uint256 d1;
        uint256 newY;
        uint256 feePerToken;
        uint256 preciseA;
    }
    // Struct storing variables used in calculation in addLiquidity function
    // to avoid stack too deep error
    struct AddLiquidityInfo {
        uint256 d0;
        uint256 d1;
        uint256 d2;
        uint256 preciseA;
    }
    // Struct storing variables used in calculation in removeLiquidityImbalance function
    // to avoid stack too deep error
    struct RemoveLiquidityImbalanceInfo {
        uint256 d0;
        uint256 d1;
        uint256 d2;
        uint256 preciseA;
    }
    // the precision all pools tokens will be converted to
    uint8 public constant POOL_PRECISION_DECIMALS = 18;
    // the denominator used to calculate admin and LP fees. For example, an
    // LP fee might be something like tradeAmount.mul(fee).div(FEE_DENOMINATOR)
    uint256 private constant FEE_DENOMINATOR = 10**10;
    // Max swap fee is 1% or 100bps of each swap
    uint256 public constant MAX_SWAP_FEE = 10**8;
    // Max adminFee is 100% of the swapFee
    // adminFee does not add additional fee on top of swapFee
    // Instead it takes a certain % of the swapFee. Therefore it has no impact on the
    // users but only on the earnings of LPs
    uint256 public constant MAX_ADMIN_FEE = 10**10;
    // Max withdrawFee is 1% of the value withdrawn
    // Fee will be redistributed to the LPs in the pool, rewarding
    // long term providers.
    uint256 public constant MAX_WITHDRAW_FEE = 10**8;
    // Constant value used as max loop limit
    uint256 private constant MAX_LOOP_LIMIT = 256;
    // Constant values used in ramping A calculations
    uint256 public constant A_PRECISION = 100;
    uint256 public constant MAX_A = 10**6;
    uint256 private constant MAX_A_CHANGE = 2;
    uint256 private constant MIN_RAMP_TIME = 14 days;
    /*** VIEW & PURE FUNCTIONS ***/
    /**
     * @notice Return A, the amplification coefficient * n * (n - 1)
     * @dev See the StableSwap paper for details
     * @param self Swap struct to read from
     * @return A parameter
     */
    function getA(Swap storage self) external view returns (uint256) {
        return _getA(self);
    }
    /**
     * @notice Return A, the amplification coefficient * n * (n - 1)
     * @dev See the StableSwap paper for details
     * @param self Swap struct to read from
     * @return A parameter
     */
    function _getA(Swap storage self) internal view returns (uint256) {
        return _getAPrecise(self).div(A_PRECISION);
    }
    /**
     * @notice Return A in its raw precision
     * @dev See the StableSwap paper for details
     * @param self Swap struct to read from
     * @return A parameter in its raw precision form
     */
    function getAPrecise(Swap storage self) external view returns (uint256) {
        return _getAPrecise(self);
    }
    /**
     * @notice Calculates and returns A based on the ramp settings
     * @dev See the StableSwap paper for details
     * @param self Swap struct to read from
     * @return A parameter in its raw precision form
     */
    function _getAPrecise(Swap storage self) internal view returns (uint256) {
        uint256 t1 = self.futureATime; // time when ramp is finished
        uint256 a1 = self.futureA; // final A value when ramp is finished
        if (block.timestamp < t1) {
            uint256 t0 = self.initialATime; // time when ramp is started
            uint256 a0 = self.initialA; // initial A value when ramp is started
            if (a1 > a0) {
                // a0 + (a1 - a0) * (block.timestamp - t0) / (t1 - t0)
                return
                    a0.add(
                        a1.sub(a0).mul(block.timestamp.sub(t0)).div(t1.sub(t0))
                    );
            } else {
                // a0 - (a0 - a1) * (block.timestamp - t0) / (t1 - t0)
                return
                    a0.sub(
                        a0.sub(a1).mul(block.timestamp.sub(t0)).div(t1.sub(t0))
                    );
            }
        } else {
            return a1;
        }
    }
    /**
     * @notice Retrieves the timestamp of last deposit made by the given address
     * @param self Swap struct to read from
     * @return timestamp of last deposit
     */
    function getDepositTimestamp(Swap storage self, address user)
        external
        view
        returns (uint256)
    {
        return self.depositTimestamp[user];
    }
    /**
     * @notice Calculate the dy, the amount of selected token that user receives and
     * the fee of withdrawing in one token
     * @param account the address that is withdrawing
     * @param tokenAmount the amount to withdraw in the pool's precision
     * @param tokenIndex which token will be withdrawn
     * @param self Swap struct to read from
     * @return the amount of token user will receive and the associated swap fee
     */
    function calculateWithdrawOneToken(
        Swap storage self,
        address account,
        uint256 tokenAmount,
        uint8 tokenIndex
    ) public view returns (uint256, uint256) {
        uint256 dy;
        uint256 newY;
        (dy, newY) = calculateWithdrawOneTokenDY(self, tokenIndex, tokenAmount);
        // dy_0 (without fees)
        // dy, dy_0 - dy
        uint256 dySwapFee =
            _xp(self)[tokenIndex]
                .sub(newY)
                .div(self.tokenPrecisionMultipliers[tokenIndex])
                .sub(dy);
        dy = dy
            .mul(
            FEE_DENOMINATOR.sub(calculateCurrentWithdrawFee(self, account))
        )
            .div(FEE_DENOMINATOR);
        return (dy, dySwapFee);
    }
    /**
     * @notice Calculate the dy of withdrawing in one token
     * @param self Swap struct to read from
     * @param tokenIndex which token will be withdrawn
     * @param tokenAmount the amount to withdraw in the pools precision
     * @return the d and the new y after withdrawing one token
     */
    function calculateWithdrawOneTokenDY(
        Swap storage self,
        uint8 tokenIndex,
        uint256 tokenAmount
    ) internal view returns (uint256, uint256) {
        require(
            tokenIndex < self.pooledTokens.length,
            "Token index out of range"
        );
        // Get the current D, then solve the stableswap invariant
        // y_i for D - tokenAmount
        uint256[] memory xp = _xp(self);
        CalculateWithdrawOneTokenDYInfo memory v =
            CalculateWithdrawOneTokenDYInfo(0, 0, 0, 0, 0);
        v.preciseA = _getAPrecise(self);
        v.d0 = getD(xp, v.preciseA);
        v.d1 = v.d0.sub(tokenAmount.mul(v.d0).div(self.lpToken.totalSupply()));
        require(tokenAmount <= xp[tokenIndex], "Withdraw exceeds available");
        v.newY = getYD(v.preciseA, tokenIndex, xp, v.d1);
        uint256[] memory xpReduced = new uint256[](xp.length);
        v.feePerToken = _feePerToken(self);
        for (uint256 i = 0; i < self.pooledTokens.length; i++) {
            uint256 xpi = xp[i];
            // if i == tokenIndex, dxExpected = xp[i] * d1 / d0 - newY
            // else dxExpected = xp[i] - (xp[i] * d1 / d0)
            // xpReduced[i] -= dxExpected * fee / FEE_DENOMINATOR
            xpReduced[i] = xpi.sub(
                (
                    (i == tokenIndex)
                        ? xpi.mul(v.d1).div(v.d0).sub(v.newY)
                        : xpi.sub(xpi.mul(v.d1).div(v.d0))
                )
                    .mul(v.feePerToken)
                    .div(FEE_DENOMINATOR)
            );
        }
        uint256 dy =
            xpReduced[tokenIndex].sub(
                getYD(v.preciseA, tokenIndex, xpReduced, v.d1)
            );
        dy = dy.sub(1).div(self.tokenPrecisionMultipliers[tokenIndex]);
        return (dy, v.newY);
    }
    /**
     * @notice Calculate the price of a token in the pool with given
     * precision-adjusted balances and a particular D.
     *
     * @dev This is accomplished via solving the invariant iteratively.
     * See the StableSwap paper and Curve.fi implementation for further details.
     *
     * x_1**2 + x1 * (sum' - (A*n**n - 1) * D / (A * n**n)) = D ** (n + 1) / (n ** (2 * n) * prod' * A)
     * x_1**2 + b*x_1 = c
     * x_1 = (x_1**2 + c) / (2*x_1 + b)
     *
     * @param a the amplification coefficient * n * (n - 1). See the StableSwap paper for details.
     * @param tokenIndex Index of token we are calculating for.
     * @param xp a precision-adjusted set of pool balances. Array should be
     * the same cardinality as the pool.
     * @param d the stableswap invariant
     * @return the price of the token, in the same precision as in xp
     */
    function getYD(
        uint256 a,
        uint8 tokenIndex,
        uint256[] memory xp,
        uint256 d
    ) internal pure returns (uint256) {
        uint256 numTokens = xp.length;
        require(tokenIndex < numTokens, "Token not found");
        uint256 c = d;
        uint256 s;
        uint256 nA = a.mul(numTokens);
        for (uint256 i = 0; i < numTokens; i++) {
            if (i != tokenIndex) {
                s = s.add(xp[i]);
                c = c.mul(d).div(xp[i].mul(numTokens));
                // If we were to protect the division loss we would have to keep the denominator separate
                // and divide at the end. However this leads to overflow with large numTokens or/and D.
                // c = c * D * D * D * ... overflow!
            }
        }
        c = c.mul(d).mul(A_PRECISION).div(nA.mul(numTokens));
        uint256 b = s.add(d.mul(A_PRECISION).div(nA));
        uint256 yPrev;
        uint256 y = d;
        for (uint256 i = 0; i < MAX_LOOP_LIMIT; i++) {
            yPrev = y;
            y = y.mul(y).add(c).div(y.mul(2).add(b).sub(d));
            if (y.within1(yPrev)) {
                return y;
            }
        }
        revert("Approximation did not converge");
    }
    /**
     * @notice Get D, the StableSwap invariant, based on a set of balances and a particular A.
     * @param xp a precision-adjusted set of pool balances. Array should be the same cardinality
     * as the pool.
     * @param a the amplification coefficient * n * (n - 1) in A_PRECISION.
     * See the StableSwap paper for details
     * @return the invariant, at the precision of the pool
     */
    function getD(uint256[] memory xp, uint256 a)
        internal
        pure
        returns (uint256)
    {
        uint256 numTokens = xp.length;
        uint256 s;
        for (uint256 i = 0; i < numTokens; i++) {
            s = s.add(xp[i]);
        }
        if (s == 0) {
            return 0;
        }
        uint256 prevD;
        uint256 d = s;
        uint256 nA = a.mul(numTokens);
        for (uint256 i = 0; i < MAX_LOOP_LIMIT; i++) {
            uint256 dP = d;
            for (uint256 j = 0; j < numTokens; j++) {
                dP = dP.mul(d).div(xp[j].mul(numTokens));
                // If we were to protect the division loss we would have to keep the denominator separate
                // and divide at the end. However this leads to overflow with large numTokens or/and D.
                // dP = dP * D * D * D * ... overflow!
            }
            prevD = d;
            d = nA.mul(s).div(A_PRECISION).add(dP.mul(numTokens)).mul(d).div(
                nA.sub(A_PRECISION).mul(d).div(A_PRECISION).add(
                    numTokens.add(1).mul(dP)
                )
            );
            if (d.within1(prevD)) {
                return d;
            }
        }
        // Convergence should occur in 4 loops or less. If this is reached, there may be something wrong
        // with the pool. If this were to occur repeatedly, LPs should withdraw via `removeLiquidity()`
        // function which does not rely on D.
        revert("D does not converge");
    }
    /**
     * @notice Get D, the StableSwap invariant, based on self Swap struct
     * @param self Swap struct to read from
     * @return The invariant, at the precision of the pool
     */
    function getD(Swap storage self) internal view returns (uint256) {
        return getD(_xp(self), _getAPrecise(self));
    }
    /**
     * @notice Given a set of balances and precision multipliers, return the
     * precision-adjusted balances.
     *
     * @param balances an array of token balances, in their native precisions.
     * These should generally correspond with pooled tokens.
     *
     * @param precisionMultipliers an array of multipliers, corresponding to
     * the amounts in the balances array. When multiplied together they
     * should yield amounts at the pool's precision.
     *
     * @return an array of amounts "scaled" to the pool's precision
     */
    function _xp(
        uint256[] memory balances,
        uint256[] memory precisionMultipliers
    ) internal pure returns (uint256[] memory) {
        uint256 numTokens = balances.length;
        require(
            numTokens == precisionMultipliers.length,
            "Balances must match multipliers"
        );
        uint256[] memory xp = new uint256[](numTokens);
        for (uint256 i = 0; i < numTokens; i++) {
            xp[i] = balances[i].mul(precisionMultipliers[i]);
        }
        return xp;
    }
    /**
     * @notice Return the precision-adjusted balances of all tokens in the pool
     * @param self Swap struct to read from
     * @param balances array of balances to scale
     * @return balances array "scaled" to the pool's precision, allowing
     * them to be more easily compared.
     */
    function _xp(Swap storage self, uint256[] memory balances)
        internal
        view
        returns (uint256[] memory)
    {
        return _xp(balances, self.tokenPrecisionMultipliers);
    }
    /**
     * @notice Return the precision-adjusted balances of all tokens in the pool
     * @param self Swap struct to read from
     * @return the pool balances "scaled" to the pool's precision, allowing
     * them to be more easily compared.
     */
    function _xp(Swap storage self) internal view returns (uint256[] memory) {
        return _xp(self.balances, self.tokenPrecisionMultipliers);
    }
    /**
     * @notice Get the virtual price, to help calculate profit
     * @param self Swap struct to read from
     * @return the virtual price, scaled to precision of POOL_PRECISION_DECIMALS
     */
    function getVirtualPrice(Swap storage self)
        external
        view
        returns (uint256)
    {
        uint256 d = getD(_xp(self), _getAPrecise(self));
        uint256 supply = self.lpToken.totalSupply();
        if (supply > 0) {
            return
                d.mul(10**uint256(ERC20(self.lpToken).decimals())).div(supply);
        }
        return 0;
    }
    /**
     * @notice Calculate the new balances of the tokens given the indexes of the token
     * that is swapped from (FROM) and the token that is swapped to (TO).
     * This function is used as a helper function to calculate how much TO token
     * the user should receive on swap.
     *
     * @param self Swap struct to read from
     * @param tokenIndexFrom index of FROM token
     * @param tokenIndexTo index of TO token
     * @param x the new total amount of FROM token
     * @param xp balances of the tokens in the pool
     * @return the amount of TO token that should remain in the pool
     */
    function getY(
        Swap storage self,
        uint8 tokenIndexFrom,
        uint8 tokenIndexTo,
        uint256 x,
        uint256[] memory xp
    ) internal view returns (uint256) {
        uint256 numTokens = self.pooledTokens.length;
        require(
            tokenIndexFrom != tokenIndexTo,
            "Can't compare token to itself"
        );
        require(
            tokenIndexFrom < numTokens && tokenIndexTo < numTokens,
            "Tokens must be in pool"
        );
        uint256 a = _getAPrecise(self);
        uint256 d = getD(xp, a);
        uint256 c = d;
        uint256 s;
        uint256 nA = numTokens.mul(a);
        uint256 _x;
        for (uint256 i = 0; i < numTokens; i++) {
            if (i == tokenIndexFrom) {
                _x = x;
            } else if (i != tokenIndexTo) {
                _x = xp[i];
            } else {
                continue;
            }
            s = s.add(_x);
            c = c.mul(d).div(_x.mul(numTokens));
            // If we were to protect the division loss we would have to keep the denominator separate
            // and divide at the end. However this leads to overflow with large numTokens or/and D.
            // c = c * D * D * D * ... overflow!
        }
        c = c.mul(d).mul(A_PRECISION).div(nA.mul(numTokens));
        uint256 b = s.add(d.mul(A_PRECISION).div(nA));
        uint256 yPrev;
        uint256 y = d;
        // iterative approximation
        for (uint256 i = 0; i < MAX_LOOP_LIMIT; i++) {
            yPrev = y;
            y = y.mul(y).add(c).div(y.mul(2).add(b).sub(d));
            if (y.within1(yPrev)) {
                return y;
            }
        }
        revert("Approximation did not converge");
    }
    /**
     * @notice Externally calculates a swap between two tokens.
     * @param self Swap struct to read from
     * @param tokenIndexFrom the token to sell
     * @param tokenIndexTo the token to buy
     * @param dx the number of tokens to sell. If the token charges a fee on transfers,
     * use the amount that gets transferred after the fee.
     * @return dy the number of tokens the user will get
     */
    function calculateSwap(
        Swap storage self,
        uint8 tokenIndexFrom,
        uint8 tokenIndexTo,
        uint256 dx
    ) external view returns (uint256 dy) {
        (dy, ) = _calculateSwap(self, tokenIndexFrom, tokenIndexTo, dx);
    }
    /**
     * @notice Internally calculates a swap between two tokens.
     *
     * @dev The caller is expected to transfer the actual amounts (dx and dy)
     * using the token contracts.
     *
     * @param self Swap struct to read from
     * @param tokenIndexFrom the token to sell
     * @param tokenIndexTo the token to buy
     * @param dx the number of tokens to sell. If the token charges a fee on transfers,
     * use the amount that gets transferred after the fee.
     * @return dy the number of tokens the user will get
     * @return dyFee the associated fee
     */
    function _calculateSwap(
        Swap storage self,
        uint8 tokenIndexFrom,
        uint8 tokenIndexTo,
        uint256 dx
    ) internal view returns (uint256 dy, uint256 dyFee) {
        uint256[] memory xp = _xp(self);
        require(
            tokenIndexFrom < xp.length && tokenIndexTo < xp.length,
            "Token index out of range"
        );
        uint256 x =
            dx.mul(self.tokenPrecisionMultipliers[tokenIndexFrom]).add(
                xp[tokenIndexFrom]
            );
        uint256 y = getY(self, tokenIndexFrom, tokenIndexTo, x, xp);
        dy = xp[tokenIndexTo].sub(y).sub(1);
        dyFee = dy.mul(self.swapFee).div(FEE_DENOMINATOR);
        dy = dy.sub(dyFee).div(self.tokenPrecisionMultipliers[tokenIndexTo]);
    }
    /**
     * @notice A simple method to calculate amount of each underlying
     * tokens that is returned upon burning given amount of
     * LP tokens
     *
     * @param account the address that is removing liquidity. required for withdraw fee calculation
     * @param amount the amount of LP tokens that would to be burned on
     * withdrawal
     * @return array of amounts of tokens user will receive
     */
    function calculateRemoveLiquidity(
        Swap storage self,
        address account,
        uint256 amount
    ) external view returns (uint256[] memory) {
        return _calculateRemoveLiquidity(self, account, amount);
    }
    function _calculateRemoveLiquidity(
        Swap storage self,
        address account,
        uint256 amount
    ) internal view returns (uint256[] memory) {
        uint256 totalSupply = self.lpToken.totalSupply();
        require(amount <= totalSupply, "Cannot exceed total supply");
        uint256 feeAdjustedAmount =
            amount
                .mul(
                FEE_DENOMINATOR.sub(calculateCurrentWithdrawFee(self, account))
            )
                .div(FEE_DENOMINATOR);
        uint256[] memory amounts = new uint256[](self.pooledTokens.length);
        for (uint256 i = 0; i < self.pooledTokens.length; i++) {
            amounts[i] = self.balances[i].mul(feeAdjustedAmount).div(
                totalSupply
            );
        }
        return amounts;
    }
    /**
     * @notice Calculate the fee that is applied when the given user withdraws.
     * Withdraw fee decays linearly over 4 weeks.
     * @param user address you want to calculate withdraw fee of
     * @return current withdraw fee of the user
     */
    function calculateCurrentWithdrawFee(Swap storage self, address user)
        public
        view
        returns (uint256)
    {
        uint256 endTime = self.depositTimestamp[user].add(4 weeks);
        if (endTime > block.timestamp) {
            uint256 timeLeftover = endTime.sub(block.timestamp);
            return
                self
                    .defaultWithdrawFee
                    .mul(self.withdrawFeeMultiplier[user])
                    .mul(timeLeftover)
                    .div(4 weeks)
                    .div(FEE_DENOMINATOR);
        }
        return 0;
    }
    /**
     * @notice A simple method to calculate prices from deposits or
     * withdrawals, excluding fees but including slippage. This is
     * helpful as an input into the various "min" parameters on calls
     * to fight front-running
     *
     * @dev This shouldn't be used outside frontends for user estimates.
     *
     * @param self Swap struct to read from
     * @param account address of the account depositing or withdrawing tokens
     * @param amounts an array of token amounts to deposit or withdrawal,
     * corresponding to pooledTokens. The amount should be in each
     * pooled token's native precision. If a token charges a fee on transfers,
     * use the amount that gets transferred after the fee.
     * @param deposit whether this is a deposit or a withdrawal
     * @return if deposit was true, total amount of lp token that will be minted and if
     * deposit was false, total amount of lp token that will be burned
     */
    function calculateTokenAmount(
        Swap storage self,
        address account,
        uint256[] calldata amounts,
        bool deposit
    ) external view returns (uint256) {
        uint256 numTokens = self.pooledTokens.length;
        uint256 a = _getAPrecise(self);
        uint256 d0 = getD(_xp(self, self.balances), a);
        uint256[] memory balances1 = self.balances;
        for (uint256 i = 0; i < numTokens; i++) {
            if (deposit) {
                balances1[i] = balances1[i].add(amounts[i]);
            } else {
                balances1[i] = balances1[i].sub(
                    amounts[i],
                    "Cannot withdraw more than available"
                );
            }
        }
        uint256 d1 = getD(_xp(self, balances1), a);
        uint256 totalSupply = self.lpToken.totalSupply();
        if (deposit) {
            return d1.sub(d0).mul(totalSupply).div(d0);
        } else {
            return
                d0.sub(d1).mul(totalSupply).div(d0).mul(FEE_DENOMINATOR).div(
                    FEE_DENOMINATOR.sub(
                        calculateCurrentWithdrawFee(self, account)
                    )
                );
        }
    }
    /**
     * @notice return accumulated amount of admin fees of the token with given index
     * @param self Swap struct to read from
     * @param index Index of the pooled token
     * @return admin balance in the token's precision
     */
    function getAdminBalance(Swap storage self, uint256 index)
        external
        view
        returns (uint256)
    {
        require(index < self.pooledTokens.length, "Token index out of range");
        return
            self.pooledTokens[index].balanceOf(address(this)).sub(
                self.balances[index]
            );
    }
    /**
     * @notice internal helper function to calculate fee per token multiplier used in
     * swap fee calculations
     * @param self Swap struct to read from
     */
    function _feePerToken(Swap storage self) internal view returns (uint256) {
        return
            self.swapFee.mul(self.pooledTokens.length).div(
                self.pooledTokens.length.sub(1).mul(4)
            );
    }
    /*** STATE MODIFYING FUNCTIONS ***/
    /**
     * @notice swap two tokens in the pool
     * @param self Swap struct to read from and write to
     * @param tokenIndexFrom the token the user wants to sell
     * @param tokenIndexTo the token the user wants to buy
     * @param dx the amount of tokens the user wants to sell
     * @param minDy the min amount the user would like to receive, or revert.
     * @return amount of token user received on swap
     */
    function swap(
        Swap storage self,
        uint8 tokenIndexFrom,
        uint8 tokenIndexTo,
        uint256 dx,
        uint256 minDy
    ) external returns (uint256) {
        require(
            dx <= self.pooledTokens[tokenIndexFrom].balanceOf(msg.sender),
            "Cannot swap more than you own"
        );
        // Transfer tokens first to see if a fee was charged on transfer
        uint256 beforeBalance =
            self.pooledTokens[tokenIndexFrom].balanceOf(address(this));
        self.pooledTokens[tokenIndexFrom].safeTransferFrom(
            msg.sender,
            address(this),
            dx
        );
        // Use the actual transferred amount for AMM math
        uint256 transferredDx =
            self.pooledTokens[tokenIndexFrom].balanceOf(address(this)).sub(
                beforeBalance
            );
        (uint256 dy, uint256 dyFee) =
            _calculateSwap(self, tokenIndexFrom, tokenIndexTo, transferredDx);
        require(dy >= minDy, "Swap didn't result in min tokens");
        uint256 dyAdminFee =
            dyFee.mul(self.adminFee).div(FEE_DENOMINATOR).div(
                self.tokenPrecisionMultipliers[tokenIndexTo]
            );
        self.balances[tokenIndexFrom] = self.balances[tokenIndexFrom].add(
            transferredDx
        );
        self.balances[tokenIndexTo] = self.balances[tokenIndexTo].sub(dy).sub(
            dyAdminFee
        );
        self.pooledTokens[tokenIndexTo].safeTransfer(msg.sender, dy);
        emit TokenSwap(
            msg.sender,
            transferredDx,
            dy,
            tokenIndexFrom,
            tokenIndexTo
        );
        return dy;
    }
    /**
     * @notice Add liquidity to the pool
     * @param self Swap struct to read from and write to
     * @param amounts the amounts of each token to add, in their native precision
     * @param minToMint the minimum LP tokens adding this amount of liquidity
     * should mint, otherwise revert. Handy for front-running mitigation
     * allowed addresses. If the pool is not in the guarded launch phase, this parameter will be ignored.
     * @return amount of LP token user received
     */
    function addLiquidity(
        Swap storage self,
        uint256[] memory amounts,
        uint256 minToMint
    ) external returns (uint256) {
        require(
            amounts.length == self.pooledTokens.length,
            "Amounts must match pooled tokens"
        );
        uint256[] memory fees = new uint256[](self.pooledTokens.length);
        // current state
        AddLiquidityInfo memory v = AddLiquidityInfo(0, 0, 0, 0);
        uint256 totalSupply = self.lpToken.totalSupply();
        if (totalSupply != 0) {
            v.d0 = getD(self);
        }
        uint256[] memory newBalances = self.balances;
        for (uint256 i = 0; i < self.pooledTokens.length; i++) {
            require(
                totalSupply != 0 || amounts[i] > 0,
                "Must supply all tokens in pool"
            );
            // Transfer tokens first to see if a fee was charged on transfer
            if (amounts[i] != 0) {
                uint256 beforeBalance =
                    self.pooledTokens[i].balanceOf(address(this));
                self.pooledTokens[i].safeTransferFrom(
                    msg.sender,
                    address(this),
                    amounts[i]
                );
                // Update the amounts[] with actual transfer amount
                amounts[i] = self.pooledTokens[i].balanceOf(address(this)).sub(
                    beforeBalance
                );
            }
            newBalances[i] = self.balances[i].add(amounts[i]);
        }
        // invariant after change
        v.preciseA = _getAPrecise(self);
        v.d1 = getD(_xp(self, newBalances), v.preciseA);
        require(v.d1 > v.d0, "D should increase");
        // updated to reflect fees and calculate the user's LP tokens
        v.d2 = v.d1;
        if (totalSupply != 0) {
            uint256 feePerToken = _feePerToken(self);
            for (uint256 i = 0; i < self.pooledTokens.length; i++) {
                uint256 idealBalance = v.d1.mul(self.balances[i]).div(v.d0);
                fees[i] = feePerToken
                    .mul(idealBalance.difference(newBalances[i]))
                    .div(FEE_DENOMINATOR);
                self.balances[i] = newBalances[i].sub(
                    fees[i].mul(self.adminFee).div(FEE_DENOMINATOR)
                );
                newBalances[i] = newBalances[i].sub(fees[i]);
            }
            v.d2 = getD(_xp(self, newBalances), v.preciseA);
        } else {
            // the initial depositor doesn't pay fees
            self.balances = newBalances;
        }
        uint256 toMint;
        if (totalSupply == 0) {
            toMint = v.d1;
        } else {
            toMint = v.d2.sub(v.d0).mul(totalSupply).div(v.d0);
        }
        require(toMint >= minToMint, "Couldn't mint min requested");
        // mint the user's LP tokens
        self.lpToken.mint(msg.sender, toMint);
        emit AddLiquidity(
            msg.sender,
            amounts,
            fees,
            v.d1,
            totalSupply.add(toMint)
        );
        return toMint;
    }
    /**
     * @notice Update the withdraw fee for `user`. If the user is currently
     * not providing liquidity in the pool, sets to default value. If not, recalculate
     * the starting withdraw fee based on the last deposit's time & amount relative
     * to the new deposit.
     *
     * @param self Swap struct to read from and write to
     * @param user address of the user depositing tokens
     * @param toMint amount of pool tokens to be minted
     */
    function updateUserWithdrawFee(
        Swap storage self,
        address user,
        uint256 toMint
    ) external {
        _updateUserWithdrawFee(self, user, toMint);
    }
    function _updateUserWithdrawFee(
        Swap storage self,
        address user,
        uint256 toMint
    ) internal {
        // If token is transferred to address 0 (or burned), don't update the fee.
        if (user == address(0)) {
            return;
        }
        if (self.defaultWithdrawFee == 0) {
            // If current fee is set to 0%, set multiplier to FEE_DENOMINATOR
            self.withdrawFeeMultiplier[user] = FEE_DENOMINATOR;
        } else {
            // Otherwise, calculate appropriate discount based on last deposit amount
            uint256 currentFee = calculateCurrentWithdrawFee(self, user);
            uint256 currentBalance = self.lpToken.balanceOf(user);
            // ((currentBalance * currentFee) + (toMint * defaultWithdrawFee)) * FEE_DENOMINATOR /
            // ((toMint + currentBalance) * defaultWithdrawFee)
            self.withdrawFeeMultiplier[user] = currentBalance
                .mul(currentFee)
                .add(toMint.mul(self.defaultWithdrawFee))
                .mul(FEE_DENOMINATOR)
                .div(toMint.add(currentBalance).mul(self.defaultWithdrawFee));
        }
        self.depositTimestamp[user] = block.timestamp;
    }
    /**
     * @notice Burn LP tokens to remove liquidity from the pool.
     * @dev Liquidity can always be removed, even when the pool is paused.
     * @param self Swap struct to read from and write to
     * @param amount the amount of LP tokens to burn
     * @param minAmounts the minimum amounts of each token in the pool
     * acceptable for this burn. Useful as a front-running mitigation
     * @return amounts of tokens the user received
     */
    function removeLiquidity(
        Swap storage self,
        uint256 amount,
        uint256[] calldata minAmounts
    ) external returns (uint256[] memory) {
        require(amount <= self.lpToken.balanceOf(msg.sender), ">LP.balanceOf");
        require(
            minAmounts.length == self.pooledTokens.length,
            "minAmounts must match poolTokens"
        );
        uint256[] memory amounts =
            _calculateRemoveLiquidity(self, msg.sender, amount);
        for (uint256 i = 0; i < amounts.length; i++) {
            require(amounts[i] >= minAmounts[i], "amounts[i] < minAmounts[i]");
            self.balances[i] = self.balances[i].sub(amounts[i]);
            self.pooledTokens[i].safeTransfer(msg.sender, amounts[i]);
        }
        self.lpToken.burnFrom(msg.sender, amount);
        emit RemoveLiquidity(msg.sender, amounts, self.lpToken.totalSupply());
        return amounts;
    }
    /**
     * @notice Remove liquidity from the pool all in one token.
     * @param self Swap struct to read from and write to
     * @param tokenAmount the amount of the lp tokens to burn
     * @param tokenIndex the index of the token you want to receive
     * @param minAmount the minimum amount to withdraw, otherwise revert
     * @return amount chosen token that user received
     */
    function removeLiquidityOneToken(
        Swap storage self,
        uint256 tokenAmount,
        uint8 tokenIndex,
        uint256 minAmount
    ) external returns (uint256) {
        uint256 totalSupply = self.lpToken.totalSupply();
        uint256 numTokens = self.pooledTokens.length;
        require(
            tokenAmount <= self.lpToken.balanceOf(msg.sender),
            ">LP.balanceOf"
        );
        require(tokenIndex < numTokens, "Token not found");
        uint256 dyFee;
        uint256 dy;
        (dy, dyFee) = calculateWithdrawOneToken(
            self,
            msg.sender,
            tokenAmount,
            tokenIndex
        );
        require(dy >= minAmount, "dy < minAmount");
        self.balances[tokenIndex] = self.balances[tokenIndex].sub(
            dy.add(dyFee.mul(self.adminFee).div(FEE_DENOMINATOR))
        );
        self.lpToken.burnFrom(msg.sender, tokenAmount);
        self.pooledTokens[tokenIndex].safeTransfer(msg.sender, dy);
        emit RemoveLiquidityOne(
            msg.sender,
            tokenAmount,
            totalSupply,
            tokenIndex,
            dy
        );
        return dy;
    }
    /**
     * @notice Remove liquidity from the pool, weighted differently than the
     * pool's current balances.
     *
     * @param self Swap struct to read from and write to
     * @param amounts how much of each token to withdraw
     * @param maxBurnAmount the max LP token provider is willing to pay to
     * remove liquidity. Useful as a front-running mitigation.
     * @return actual amount of LP tokens burned in the withdrawal
     */
    function removeLiquidityImbalance(
        Swap storage self,
        uint256[] memory amounts,
        uint256 maxBurnAmount
    ) public returns (uint256) {
        require(
            amounts.length == self.pooledTokens.length,
            "Amounts should match pool tokens"
        );
        require(
            maxBurnAmount <= self.lpToken.balanceOf(msg.sender) &&
                maxBurnAmount != 0,
            ">LP.balanceOf"
        );
        RemoveLiquidityImbalanceInfo memory v =
            RemoveLiquidityImbalanceInfo(0, 0, 0, 0);
        uint256 tokenSupply = self.lpToken.totalSupply();
        uint256 feePerToken = _feePerToken(self);
        uint256[] memory balances1 = self.balances;
        v.preciseA = _getAPrecise(self);
        v.d0 = getD(_xp(self), v.preciseA);
        for (uint256 i = 0; i < self.pooledTokens.length; i++) {
            balances1[i] = balances1[i].sub(
                amounts[i],
                "Cannot withdraw more than available"
            );
        }
        v.d1 = getD(_xp(self, balances1), v.preciseA);
        uint256[] memory fees = new uint256[](self.pooledTokens.length);
        for (uint256 i = 0; i < self.pooledTokens.length; i++) {
            uint256 idealBalance = v.d1.mul(self.balances[i]).div(v.d0);
            uint256 difference = idealBalance.difference(balances1[i]);
            fees[i] = feePerToken.mul(difference).div(FEE_DENOMINATOR);
            self.balances[i] = balances1[i].sub(
                fees[i].mul(self.adminFee).div(FEE_DENOMINATOR)
            );
            balances1[i] = balances1[i].sub(fees[i]);
        }
        v.d2 = getD(_xp(self, balances1), v.preciseA);
        uint256 tokenAmount = v.d0.sub(v.d2).mul(tokenSupply).div(v.d0);
        require(tokenAmount != 0, "Burnt amount cannot be zero");
        tokenAmount = tokenAmount.add(1).mul(FEE_DENOMINATOR).div(
            FEE_DENOMINATOR.sub(calculateCurrentWithdrawFee(self, msg.sender))
        );
        require(tokenAmount <= maxBurnAmount, "tokenAmount > maxBurnAmount");
        self.lpToken.burnFrom(msg.sender, tokenAmount);
        for (uint256 i = 0; i < self.pooledTokens.length; i++) {
            self.pooledTokens[i].safeTransfer(msg.sender, amounts[i]);
        }
        emit RemoveLiquidityImbalance(
            msg.sender,
            amounts,
            fees,
            v.d1,
            tokenSupply.sub(tokenAmount)
        );
        return tokenAmount;
    }
    /**
     * @notice withdraw all admin fees to a given address
     * @param self Swap struct to withdraw fees from
     * @param to Address to send the fees to
     */
    function withdrawAdminFees(Swap storage self, address to) external {
        for (uint256 i = 0; i < self.pooledTokens.length; i++) {
            IERC20 token = self.pooledTokens[i];
            uint256 balance =
                token.balanceOf(address(this)).sub(self.balances[i]);
            if (balance != 0) {
                token.safeTransfer(to, balance);
            }
        }
    }
    /**
     * @notice Sets the admin fee
     * @dev adminFee cannot be higher than 100% of the swap fee
     * @param self Swap struct to update
     * @param newAdminFee new admin fee to be applied on future transactions
     */
    function setAdminFee(Swap storage self, uint256 newAdminFee) external {
        require(newAdminFee <= MAX_ADMIN_FEE, "Fee is too high");
        self.adminFee = newAdminFee;
        emit NewAdminFee(newAdminFee);
    }
    /**
     * @notice update the swap fee
     * @dev fee cannot be higher than 1% of each swap
     * @param self Swap struct to update
     * @param newSwapFee new swap fee to be applied on future transactions
     */
    function setSwapFee(Swap storage self, uint256 newSwapFee) external {
        require(newSwapFee <= MAX_SWAP_FEE, "Fee is too high");
        self.swapFee = newSwapFee;
        emit NewSwapFee(newSwapFee);
    }
    /**
     * @notice update the default withdraw fee. This also affects deposits made in the past as well.
     * @param self Swap struct to update
     * @param newWithdrawFee new withdraw fee to be applied
     */
    function setDefaultWithdrawFee(Swap storage self, uint256 newWithdrawFee)
        external
    {
        require(newWithdrawFee <= MAX_WITHDRAW_FEE, "Fee is too high");
        self.defaultWithdrawFee = newWithdrawFee;
        emit NewWithdrawFee(newWithdrawFee);
    }
    /**
     * @notice Start ramping up or down A parameter towards given futureA_ and futureTime_
     * Checks if the change is too rapid, and commits the new A value only when it falls under
     * the limit range.
     * @param self Swap struct to update
     * @param futureA_ the new A to ramp towards
     * @param futureTime_ timestamp when the new A should be reached
     */
    function rampA(
        Swap storage self,
        uint256 futureA_,
        uint256 futureTime_
    ) external {
        require(
            block.timestamp >= self.initialATime.add(1 days),
            "Wait 1 day before starting ramp"
        );
        require(
            futureTime_ >= block.timestamp.add(MIN_RAMP_TIME),
            "Insufficient ramp time"
        );
        require(
            futureA_ > 0 && futureA_ < MAX_A,
            "futureA_ must be > 0 and < MAX_A"
        );
        uint256 initialAPrecise = _getAPrecise(self);
        uint256 futureAPrecise = futureA_.mul(A_PRECISION);
        if (futureAPrecise < initialAPrecise) {
            require(
                futureAPrecise.mul(MAX_A_CHANGE) >= initialAPrecise,
                "futureA_ is too small"
            );
        } else {
            require(
                futureAPrecise <= initialAPrecise.mul(MAX_A_CHANGE),
                "futureA_ is too large"
            );
        }
        self.initialA = initialAPrecise;
        self.futureA = futureAPrecise;
        self.initialATime = block.timestamp;
        self.futureATime = futureTime_;
        emit RampA(
            initialAPrecise,
            futureAPrecise,
            block.timestamp,
            futureTime_
        );
    }
    /**
     * @notice Stops ramping A immediately. Once this function is called, rampA()
     * cannot be called for another 24 hours
     * @param self Swap struct to update
     */
    function stopRampA(Swap storage self) external {
        require(self.futureATime > block.timestamp, "Ramp is already stopped");
        uint256 currentA = _getAPrecise(self);
        self.initialA = currentA;
        self.futureA = currentA;
        self.initialATime = block.timestamp;
        self.futureATime = block.timestamp;
        emit StopRampA(currentA, block.timestamp);
    }
}
// SPDX-License-Identifier: MIT
pragma solidity 0.6.12;
interface IAllowlist {
    function getPoolAccountLimit(address poolAddress)
        external
        view
        returns (uint256);
    function getPoolCap(address poolAddress) external view returns (uint256);
    function verifyAddress(address account, bytes32[] calldata merkleProof)
        external
        returns (bool);
}
// SPDX-License-Identifier: AGPL-3.0-only
pragma solidity 0.6.12;
/**
 * @title IFlashLoanReceiver interface
 * @notice Interface for the Saddle fee IFlashLoanReceiver. Modified from Aave's IFlashLoanReceiver interface.
 * https://github.com/aave/aave-protocol/blob/4b4545fb583fd4f400507b10f3c3114f45b8a037/contracts/flashloan/interfaces/IFlashLoanReceiver.sol
 * @author Aave
 * @dev implement this interface to develop a flashloan-compatible flashLoanReceiver contract
 **/
interface IFlashLoanReceiver {
    function executeOperation(
        address pool,
        address token,
        uint256 amount,
        uint256 fee,
        bytes calldata params
    ) external;
}
// SPDX-License-Identifier: MIT
pragma solidity 0.6.12;
import "@openzeppelin/contracts/token/ERC20/ERC20.sol";
import "./IAllowlist.sol";
interface ISwap {
    // pool data view functions
    function getA() external view returns (uint256);
    function getAllowlist() external view returns (IAllowlist);
    function getToken(uint8 index) external view returns (IERC20);
    function getTokenIndex(address tokenAddress) external view returns (uint8);
    function getTokenBalance(uint8 index) external view returns (uint256);
    function getVirtualPrice() external view returns (uint256);
    function isGuarded() external view returns (bool);
    // min return calculation functions
    function calculateSwap(
        uint8 tokenIndexFrom,
        uint8 tokenIndexTo,
        uint256 dx
    ) external view returns (uint256);
    function calculateTokenAmount(uint256[] calldata amounts, bool deposit)
        external
        view
        returns (uint256);
    function calculateRemoveLiquidity(uint256 amount)
        external
        view
        returns (uint256[] memory);
    function calculateRemoveLiquidityOneToken(
        uint256 tokenAmount,
        uint8 tokenIndex
    ) external view returns (uint256 availableTokenAmount);
    // state modifying functions
    function initialize(
        IERC20[] memory pooledTokens,
        uint8[] memory decimals,
        string memory lpTokenName,
        string memory lpTokenSymbol,
        uint256 a,
        uint256 fee,
        uint256 adminFee,
        uint256 withdrawFee
    ) external;
    function swap(
        uint8 tokenIndexFrom,
        uint8 tokenIndexTo,
        uint256 dx,
        uint256 minDy,
        uint256 deadline
    ) external returns (uint256);
    function addLiquidity(
        uint256[] calldata amounts,
        uint256 minToMint,
        uint256 deadline
    ) external returns (uint256);
    function removeLiquidity(
        uint256 amount,
        uint256[] calldata minAmounts,
        uint256 deadline
    ) external returns (uint256[] memory);
    function removeLiquidityOneToken(
        uint256 tokenAmount,
        uint8 tokenIndex,
        uint256 minAmount,
        uint256 deadline
    ) external returns (uint256);
    function removeLiquidityImbalance(
        uint256[] calldata amounts,
        uint256 maxBurnAmount,
        uint256 deadline
    ) external returns (uint256);
    // withdraw fee update function
    function updateUserWithdrawFee(address recipient, uint256 transferAmount)
        external;
}

// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
/*
 * @dev Provides information about the current execution context, including the
 * sender of the transaction and its data. While these are generally available
 * via msg.sender and msg.data, they should not be accessed in such a direct
 * manner, since when dealing with GSN meta-transactions the account sending and
 * paying for execution may not be the actual sender (as far as an application
 * is concerned).
 *
 * This contract is only required for intermediate, library-like contracts.
 */
abstract contract Context {
    function _msgSender() internal view virtual returns (address payable) {
        return msg.sender;
    }
    function _msgData() internal view virtual returns (bytes memory) {
        this; // silence state mutability warning without generating bytecode - see https://github.com/ethereum/solidity/issues/2691
        return msg.data;
    }
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
import "../GSN/Context.sol";
/**
 * @dev Contract module which provides a basic access control mechanism, where
 * there is an account (an owner) that can be granted exclusive access to
 * specific functions.
 *
 * By default, the owner account will be the one that deploys the contract. This
 * can later be changed with {transferOwnership}.
 *
 * This module is used through inheritance. It will make available the modifier
 * `onlyOwner`, which can be applied to your functions to restrict their use to
 * the owner.
 */
abstract contract Ownable is Context {
    address private _owner;
    event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);
    /**
     * @dev Initializes the contract setting the deployer as the initial owner.
     */
    constructor () internal {
        address msgSender = _msgSender();
        _owner = msgSender;
        emit OwnershipTransferred(address(0), msgSender);
    }
    /**
     * @dev Returns the address of the current owner.
     */
    function owner() public view returns (address) {
        return _owner;
    }
    /**
     * @dev Throws if called by any account other than the owner.
     */
    modifier onlyOwner() {
        require(_owner == _msgSender(), "Ownable: caller is not the owner");
        _;
    }
    /**
     * @dev Leaves the contract without owner. It will not be possible to call
     * `onlyOwner` functions anymore. Can only be called by the current owner.
     *
     * NOTE: Renouncing ownership will leave the contract without an owner,
     * thereby removing any functionality that is only available to the owner.
     */
    function renounceOwnership() public virtual onlyOwner {
        emit OwnershipTransferred(_owner, address(0));
        _owner = address(0);
    }
    /**
     * @dev Transfers ownership of the contract to a new account (`newOwner`).
     * Can only be called by the current owner.
     */
    function transferOwnership(address newOwner) public virtual onlyOwner {
        require(newOwner != address(0), "Ownable: new owner is the zero address");
        emit OwnershipTransferred(_owner, newOwner);
        _owner = newOwner;
    }
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
/**
 * @dev Wrappers over Solidity's arithmetic operations with added overflow
 * checks.
 *
 * Arithmetic operations in Solidity wrap on overflow. This can easily result
 * in bugs, because programmers usually assume that an overflow raises an
 * error, which is the standard behavior in high level programming languages.
 * `SafeMath` restores this intuition by reverting the transaction when an
 * operation overflows.
 *
 * Using this library instead of the unchecked operations eliminates an entire
 * class of bugs, so it's recommended to use it always.
 */
library SafeMath {
    /**
     * @dev Returns the addition of two unsigned integers, reverting on
     * overflow.
     *
     * Counterpart to Solidity's `+` operator.
     *
     * Requirements:
     *
     * - Addition cannot overflow.
     */
    function add(uint256 a, uint256 b) internal pure returns (uint256) {
        uint256 c = a + b;
        require(c >= a, "SafeMath: addition overflow");
        return c;
    }
    /**
     * @dev Returns the subtraction of two unsigned integers, reverting on
     * overflow (when the result is negative).
     *
     * Counterpart to Solidity's `-` operator.
     *
     * Requirements:
     *
     * - Subtraction cannot overflow.
     */
    function sub(uint256 a, uint256 b) internal pure returns (uint256) {
        return sub(a, b, "SafeMath: subtraction overflow");
    }
    /**
     * @dev Returns the subtraction of two unsigned integers, reverting with custom message on
     * overflow (when the result is negative).
     *
     * Counterpart to Solidity's `-` operator.
     *
     * Requirements:
     *
     * - Subtraction cannot overflow.
     */
    function sub(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b <= a, errorMessage);
        uint256 c = a - b;
        return c;
    }
    /**
     * @dev Returns the multiplication of two unsigned integers, reverting on
     * overflow.
     *
     * Counterpart to Solidity's `*` operator.
     *
     * Requirements:
     *
     * - Multiplication cannot overflow.
     */
    function mul(uint256 a, uint256 b) internal pure returns (uint256) {
        // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
        // benefit is lost if 'b' is also tested.
        // See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522
        if (a == 0) {
            return 0;
        }
        uint256 c = a * b;
        require(c / a == b, "SafeMath: multiplication overflow");
        return c;
    }
    /**
     * @dev Returns the integer division of two unsigned integers. Reverts on
     * division by zero. The result is rounded towards zero.
     *
     * Counterpart to Solidity's `/` operator. Note: this function uses a
     * `revert` opcode (which leaves remaining gas untouched) while Solidity
     * uses an invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function div(uint256 a, uint256 b) internal pure returns (uint256) {
        return div(a, b, "SafeMath: division by zero");
    }
    /**
     * @dev Returns the integer division of two unsigned integers. Reverts with custom message on
     * division by zero. The result is rounded towards zero.
     *
     * Counterpart to Solidity's `/` operator. Note: this function uses a
     * `revert` opcode (which leaves remaining gas untouched) while Solidity
     * uses an invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function div(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b > 0, errorMessage);
        uint256 c = a / b;
        // assert(a == b * c + a % b); // There is no case in which this doesn't hold
        return c;
    }
    /**
     * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
     * Reverts when dividing by zero.
     *
     * Counterpart to Solidity's `%` operator. This function uses a `revert`
     * opcode (which leaves remaining gas untouched) while Solidity uses an
     * invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function mod(uint256 a, uint256 b) internal pure returns (uint256) {
        return mod(a, b, "SafeMath: modulo by zero");
    }
    /**
     * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
     * Reverts with custom message when dividing by zero.
     *
     * Counterpart to Solidity's `%` operator. This function uses a `revert`
     * opcode (which leaves remaining gas untouched) while Solidity uses an
     * invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function mod(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b != 0, errorMessage);
        return a % b;
    }
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
import "../../GSN/Context.sol";
import "./IERC20.sol";
import "../../math/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 Context, 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_) public {
        _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(_msgSender(), recipient, amount);
        return true;
    }
    /**
     * @dev See {IERC20-allowance}.
     */
    function allowance(address owner, address spender) public view virtual override returns (uint256) {
        return _allowances[owner][spender];
    }
    /**
     * @dev See {IERC20-approve}.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     */
    function approve(address spender, uint256 amount) public virtual override returns (bool) {
        _approve(_msgSender(), spender, amount);
        return true;
    }
    /**
     * @dev See {IERC20-transferFrom}.
     *
     * Emits an {Approval} event indicating the updated allowance. This is not
     * required by the EIP. See the note at the beginning of {ERC20}.
     *
     * Requirements:
     *
     * - `sender` and `recipient` cannot be the zero address.
     * - `sender` must have a balance of at least `amount`.
     * - the caller must have allowance for ``sender``'s tokens of at least
     * `amount`.
     */
    function transferFrom(address sender, address recipient, uint256 amount) public virtual override returns (bool) {
        _transfer(sender, recipient, amount);
        _approve(sender, _msgSender(), _allowances[sender][_msgSender()].sub(amount, "ERC20: transfer amount 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(_msgSender(), spender, _allowances[_msgSender()][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(_msgSender(), spender, _allowances[_msgSender()][spender].sub(subtractedValue, "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), "ERC20: transfer from the zero address");
        require(recipient != address(0), "ERC20: transfer to the zero address");
        _beforeTokenTransfer(sender, recipient, amount);
        _balances[sender] = _balances[sender].sub(amount, "ERC20: transfer amount exceeds balance");
        _balances[recipient] = _balances[recipient].add(amount);
        emit Transfer(sender, recipient, amount);
    }
    /** @dev Creates `amount` tokens and assigns them to `account`, increasing
     * the total supply.
     *
     * Emits a {Transfer} event with `from` set to the zero address.
     *
     * Requirements:
     *
     * - `to` cannot be the zero address.
     */
    function _mint(address account, uint256 amount) internal virtual {
        require(account != address(0), "ERC20: mint to the zero address");
        _beforeTokenTransfer(address(0), account, amount);
        _totalSupply = _totalSupply.add(amount);
        _balances[account] = _balances[account].add(amount);
        emit Transfer(address(0), account, amount);
    }
    /**
     * @dev Destroys `amount` tokens from `account`, reducing the
     * total supply.
     *
     * Emits a {Transfer} event with `to` set to the zero address.
     *
     * Requirements:
     *
     * - `account` cannot be the zero address.
     * - `account` must have at least `amount` tokens.
     */
    function _burn(address account, uint256 amount) internal virtual {
        require(account != address(0), "ERC20: burn from the zero address");
        _beforeTokenTransfer(account, address(0), amount);
        _balances[account] = _balances[account].sub(amount, "ERC20: burn amount 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 {
        require(owner != address(0), "ERC20: approve from the zero address");
        require(spender != address(0), "ERC20: approve to the zero address");
        _allowances[owner][spender] = amount;
        emit Approval(owner, spender, amount);
    }
    /**
     * @dev Sets {decimals} to a value other than the default one of 18.
     *
     * WARNING: This function should only be called from the constructor. Most
     * applications that interact with token contracts will not expect
     * {decimals} to ever change, and may work incorrectly if it does.
     */
    function _setupDecimals(uint8 decimals_) internal {
        _decimals = decimals_;
    }
    /**
     * @dev Hook that is called before any transfer of tokens. This includes
     * minting and burning.
     *
     * Calling conditions:
     *
     * - when `from` and `to` are both non-zero, `amount` of ``from``'s tokens
     * will be to transferred to `to`.
     * - when `from` is zero, `amount` tokens will be minted for `to`.
     * - when `to` is zero, `amount` of ``from``'s tokens will be burned.
     * - `from` and `to` are never both zero.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _beforeTokenTransfer(address from, address to, uint256 amount) internal virtual { }
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
import "../../GSN/Context.sol";
import "./ERC20.sol";
/**
 * @dev Extension of {ERC20} that allows token holders to destroy both their own
 * tokens and those that they have an allowance for, in a way that can be
 * recognized off-chain (via event analysis).
 */
abstract contract ERC20Burnable is Context, ERC20 {
    using SafeMath for uint256;
    /**
     * @dev Destroys `amount` tokens from the caller.
     *
     * See {ERC20-_burn}.
     */
    function burn(uint256 amount) public virtual {
        _burn(_msgSender(), amount);
    }
    /**
     * @dev Destroys `amount` tokens from `account`, deducting from the caller's
     * allowance.
     *
     * See {ERC20-_burn} and {ERC20-allowance}.
     *
     * Requirements:
     *
     * - the caller must have allowance for ``accounts``'s tokens of at least
     * `amount`.
     */
    function burnFrom(address account, uint256 amount) public virtual {
        uint256 decreasedAllowance = allowance(account, _msgSender()).sub(amount, "ERC20: burn amount exceeds allowance");
        _approve(account, _msgSender(), decreasedAllowance);
        _burn(account, amount);
    }
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
/**
 * @dev Interface of the ERC20 standard as defined in the EIP.
 */
interface IERC20 {
    /**
     * @dev Returns the amount of tokens in existence.
     */
    function totalSupply() external view returns (uint256);
    /**
     * @dev Returns the amount of tokens owned by `account`.
     */
    function balanceOf(address account) external view returns (uint256);
    /**
     * @dev Moves `amount` tokens from the caller's account to `recipient`.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * Emits a {Transfer} event.
     */
    function transfer(address recipient, uint256 amount) external returns (bool);
    /**
     * @dev Returns the remaining number of tokens that `spender` will be
     * allowed to spend on behalf of `owner` through {transferFrom}. This is
     * zero by default.
     *
     * This value changes when {approve} or {transferFrom} are called.
     */
    function allowance(address owner, address spender) external view returns (uint256);
    /**
     * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * IMPORTANT: Beware that changing an allowance with this method brings the risk
     * that someone may use both the old and the new allowance by unfortunate
     * transaction ordering. One possible solution to mitigate this race
     * condition is to first reduce the spender's allowance to 0 and set the
     * desired value afterwards:
     * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
     *
     * Emits an {Approval} event.
     */
    function approve(address spender, uint256 amount) external returns (bool);
    /**
     * @dev Moves `amount` tokens from `sender` to `recipient` using the
     * allowance mechanism. `amount` is then deducted from the caller's
     * allowance.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * Emits a {Transfer} event.
     */
    function transferFrom(address sender, address recipient, uint256 amount) external returns (bool);
    /**
     * @dev Emitted when `value` tokens are moved from one account (`from`) to
     * another (`to`).
     *
     * Note that `value` may be zero.
     */
    event Transfer(address indexed from, address indexed to, uint256 value);
    /**
     * @dev Emitted when the allowance of a `spender` for an `owner` is set by
     * a call to {approve}. `value` is the new allowance.
     */
    event Approval(address indexed owner, address indexed spender, uint256 value);
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
import "./IERC20.sol";
import "../../math/SafeMath.sol";
import "../../utils/Address.sol";
/**
 * @title SafeERC20
 * @dev Wrappers around ERC20 operations that throw on failure (when the token
 * contract returns false). Tokens that return no value (and instead revert or
 * throw on failure) are also supported, non-reverting calls are assumed to be
 * successful.
 * To use this library you can add a `using SafeERC20 for IERC20;` statement to your contract,
 * which allows you to call the safe operations as `token.safeTransfer(...)`, etc.
 */
library SafeERC20 {
    using SafeMath for uint256;
    using Address for address;
    function safeTransfer(IERC20 token, address to, uint256 value) internal {
        _callOptionalReturn(token, abi.encodeWithSelector(token.transfer.selector, to, value));
    }
    function safeTransferFrom(IERC20 token, address from, address to, uint256 value) internal {
        _callOptionalReturn(token, abi.encodeWithSelector(token.transferFrom.selector, from, to, value));
    }
    /**
     * @dev Deprecated. This function has issues similar to the ones found in
     * {IERC20-approve}, and its usage is discouraged.
     *
     * Whenever possible, use {safeIncreaseAllowance} and
     * {safeDecreaseAllowance} instead.
     */
    function safeApprove(IERC20 token, address spender, uint256 value) internal {
        // safeApprove should only be called when setting an initial allowance,
        // or when resetting it to zero. To increase and decrease it, use
        // 'safeIncreaseAllowance' and 'safeDecreaseAllowance'
        // solhint-disable-next-line max-line-length
        require((value == 0) || (token.allowance(address(this), spender) == 0),
            "SafeERC20: approve from non-zero to non-zero allowance"
        );
        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, value));
    }
    function safeIncreaseAllowance(IERC20 token, address spender, uint256 value) internal {
        uint256 newAllowance = token.allowance(address(this), spender).add(value);
        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, newAllowance));
    }
    function safeDecreaseAllowance(IERC20 token, address spender, uint256 value) internal {
        uint256 newAllowance = token.allowance(address(this), spender).sub(value, "SafeERC20: decreased allowance below zero");
        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, newAllowance));
    }
    /**
     * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement
     * on the return value: the return value is optional (but if data is returned, it must not be false).
     * @param token The token targeted by the call.
     * @param data The call data (encoded using abi.encode or one of its variants).
     */
    function _callOptionalReturn(IERC20 token, bytes memory data) private {
        // We need to perform a low level call here, to bypass Solidity's return data size checking mechanism, since
        // we're implementing it ourselves. We use {Address.functionCall} to perform this call, which verifies that
        // the target address contains contract code and also asserts for success in the low-level call.
        bytes memory returndata = address(token).functionCall(data, "SafeERC20: low-level call failed");
        if (returndata.length > 0) { // Return data is optional
            // solhint-disable-next-line max-line-length
            require(abi.decode(returndata, (bool)), "SafeERC20: ERC20 operation did not succeed");
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.2 <0.8.0;
/**
 * @dev Collection of functions related to the address type
 */
library Address {
    /**
     * @dev Returns true if `account` is a contract.
     *
     * [IMPORTANT]
     * ====
     * It is unsafe to assume that an address for which this function returns
     * false is an externally-owned account (EOA) and not a contract.
     *
     * Among others, `isContract` will return false for the following
     * types of addresses:
     *
     *  - an externally-owned account
     *  - a contract in construction
     *  - an address where a contract will be created
     *  - an address where a contract lived, but was destroyed
     * ====
     */
    function isContract(address account) internal view returns (bool) {
        // This method relies on extcodesize, which returns 0 for contracts in
        // construction, since the code is only stored at the end of the
        // constructor execution.
        uint256 size;
        // solhint-disable-next-line no-inline-assembly
        assembly { size := extcodesize(account) }
        return size > 0;
    }
    /**
     * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
     * `recipient`, forwarding all available gas and reverting on errors.
     *
     * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
     * of certain opcodes, possibly making contracts go over the 2300 gas limit
     * imposed by `transfer`, making them unable to receive funds via
     * `transfer`. {sendValue} removes this limitation.
     *
     * https://diligence.consensys.net/posts/2019/09/stop-using-soliditys-transfer-now/[Learn more].
     *
     * IMPORTANT: because control is transferred to `recipient`, care must be
     * taken to not create reentrancy vulnerabilities. Consider using
     * {ReentrancyGuard} or the
     * https://solidity.readthedocs.io/en/v0.5.11/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
     */
    function sendValue(address payable recipient, uint256 amount) internal {
        require(address(this).balance >= amount, "Address: insufficient balance");
        // solhint-disable-next-line avoid-low-level-calls, avoid-call-value
        (bool success, ) = recipient.call{ value: amount }("");
        require(success, "Address: unable to send value, recipient may have reverted");
    }
    /**
     * @dev Performs a Solidity function call using a low level `call`. A
     * plain`call` is an unsafe replacement for a function call: use this
     * function instead.
     *
     * If `target` reverts with a revert reason, it is bubbled up by this
     * function (like regular Solidity function calls).
     *
     * Returns the raw returned data. To convert to the expected return value,
     * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
     *
     * Requirements:
     *
     * - `target` must be a contract.
     * - calling `target` with `data` must not revert.
     *
     * _Available since v3.1._
     */
    function functionCall(address target, bytes memory data) internal returns (bytes memory) {
      return functionCall(target, data, "Address: low-level call failed");
    }
    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
     * `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCall(address target, bytes memory data, string memory errorMessage) internal returns (bytes memory) {
        return functionCallWithValue(target, data, 0, errorMessage);
    }
    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but also transferring `value` wei to `target`.
     *
     * Requirements:
     *
     * - the calling contract must have an ETH balance of at least `value`.
     * - the called Solidity function must be `payable`.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(address target, bytes memory data, uint256 value) internal returns (bytes memory) {
        return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
    }
    /**
     * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
     * with `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(address target, bytes memory data, uint256 value, string memory errorMessage) internal returns (bytes memory) {
        require(address(this).balance >= value, "Address: insufficient balance for call");
        require(isContract(target), "Address: call to non-contract");
        // solhint-disable-next-line avoid-low-level-calls
        (bool success, bytes memory returndata) = target.call{ value: value }(data);
        return _verifyCallResult(success, returndata, errorMessage);
    }
    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
        return functionStaticCall(target, data, "Address: low-level static call failed");
    }
    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(address target, bytes memory data, string memory errorMessage) internal view returns (bytes memory) {
        require(isContract(target), "Address: static call to non-contract");
        // solhint-disable-next-line avoid-low-level-calls
        (bool success, bytes memory returndata) = target.staticcall(data);
        return _verifyCallResult(success, returndata, errorMessage);
    }
    function _verifyCallResult(bool success, bytes memory returndata, string memory errorMessage) private pure returns(bytes memory) {
        if (success) {
            return returndata;
        } else {
            // Look for revert reason and bubble it up if present
            if (returndata.length > 0) {
                // The easiest way to bubble the revert reason is using memory via assembly
                // solhint-disable-next-line no-inline-assembly
                assembly {
                    let returndata_size := mload(returndata)
                    revert(add(32, returndata), returndata_size)
                }
            } else {
                revert(errorMessage);
            }
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity 0.6.12;
import "@openzeppelin/contracts/token/ERC20/ERC20Burnable.sol";
import "@openzeppelin/contracts/access/Ownable.sol";
import "@openzeppelin/contracts/math/SafeMath.sol";
import "./interfaces/ISwap.sol";
/**
 * @title Liquidity Provider Token
 * @notice This token is an ERC20 detailed token with added capability to be minted by the owner.
 * It is used to represent user's shares when providing liquidity to swap contracts.
 */
contract LPToken is ERC20Burnable, Ownable {
    using SafeMath for uint256;
    // Address of the swap contract that owns this LP token. When a user adds liquidity to the swap contract,
    // they receive a proportionate amount of this LPToken.
    ISwap public swap;
    /**
     * @notice Deploys LPToken contract with given name, symbol, and decimals
     * @dev the caller of this constructor will become the owner of this contract
     * @param name_ name of this token
     * @param symbol_ symbol of this token
     * @param decimals_ number of decimals this token will be based on
     */
    constructor(
        string memory name_,
        string memory symbol_,
        uint8 decimals_
    ) public ERC20(name_, symbol_) {
        _setupDecimals(decimals_);
        swap = ISwap(_msgSender());
    }
    /**
     * @notice Mints the given amount of LPToken to the recipient.
     * @dev only owner can call this mint function
     * @param recipient address of account to receive the tokens
     * @param amount amount of tokens to mint
     */
    function mint(address recipient, uint256 amount) external onlyOwner {
        require(amount != 0, "amount == 0");
        _mint(recipient, amount);
    }
    /**
     * @dev Overrides ERC20._beforeTokenTransfer() which get called on every transfers including
     * minting and burning. This ensures that swap.updateUserWithdrawFees are called everytime.
     */
    function _beforeTokenTransfer(
        address from,
        address to,
        uint256 amount
    ) internal override(ERC20) {
        super._beforeTokenTransfer(from, to, amount);
        swap.updateUserWithdrawFee(to, amount);
    }
}
// SPDX-License-Identifier: MIT
pragma solidity 0.6.12;
import "@openzeppelin/contracts/math/SafeMath.sol";
/**
 * @title MathUtils library
 * @notice A library to be used in conjunction with SafeMath. Contains functions for calculating
 * differences between two uint256.
 */
library MathUtils {
    /**
     * @notice Compares a and b and returns true if the difference between a and b
     *         is less than 1 or equal to each other.
     * @param a uint256 to compare with
     * @param b uint256 to compare with
     * @return True if the difference between a and b is less than 1 or equal,
     *         otherwise return false
     */
    function within1(uint256 a, uint256 b) external pure returns (bool) {
        return (_difference(a, b) <= 1);
    }
    /**
     * @notice Calculates absolute difference between a and b
     * @param a uint256 to compare with
     * @param b uint256 to compare with
     * @return Difference between a and b
     */
    function difference(uint256 a, uint256 b) external pure returns (uint256) {
        return _difference(a, b);
    }
    /**
     * @notice Calculates absolute difference between a and b
     * @param a uint256 to compare with
     * @param b uint256 to compare with
     * @return Difference between a and b
     */
    function _difference(uint256 a, uint256 b) internal pure returns (uint256) {
        if (a > b) {
            return a - b;
        }
        return b - a;
    }
}
// SPDX-License-Identifier: MIT
pragma solidity 0.6.12;
import "@openzeppelin/contracts/math/SafeMath.sol";
import "@openzeppelin/contracts/token/ERC20/SafeERC20.sol";
import "./LPToken.sol";
import "./MathUtils.sol";
/**
 * @title SwapUtils library
 * @notice A library to be used within Swap.sol. Contains functions responsible for custody and AMM functionalities.
 * @dev Contracts relying on this library must initialize SwapUtils.Swap struct then use this library
 * for SwapUtils.Swap struct. Note that this library contains both functions called by users and admins.
 * Admin functions should be protected within contracts using this library.
 */
library SwapUtils {
    using SafeERC20 for IERC20;
    using SafeMath for uint256;
    using MathUtils for uint256;
    /*** EVENTS ***/
    event TokenSwap(
        address indexed buyer,
        uint256 tokensSold,
        uint256 tokensBought,
        uint128 soldId,
        uint128 boughtId
    );
    event AddLiquidity(
        address indexed provider,
        uint256[] tokenAmounts,
        uint256[] fees,
        uint256 invariant,
        uint256 lpTokenSupply
    );
    event RemoveLiquidity(
        address indexed provider,
        uint256[] tokenAmounts,
        uint256 lpTokenSupply
    );
    event RemoveLiquidityOne(
        address indexed provider,
        uint256 lpTokenAmount,
        uint256 lpTokenSupply,
        uint256 boughtId,
        uint256 tokensBought
    );
    event RemoveLiquidityImbalance(
        address indexed provider,
        uint256[] tokenAmounts,
        uint256[] fees,
        uint256 invariant,
        uint256 lpTokenSupply
    );
    event NewAdminFee(uint256 newAdminFee);
    event NewSwapFee(uint256 newSwapFee);
    event NewWithdrawFee(uint256 newWithdrawFee);
    event RampA(
        uint256 oldA,
        uint256 newA,
        uint256 initialTime,
        uint256 futureTime
    );
    event StopRampA(uint256 currentA, uint256 time);
    struct Swap {
        // variables around the ramp management of A,
        // the amplification coefficient * n * (n - 1)
        // see https://www.curve.fi/stableswap-paper.pdf for details
        uint256 initialA;
        uint256 futureA;
        uint256 initialATime;
        uint256 futureATime;
        // fee calculation
        uint256 swapFee;
        uint256 adminFee;
        uint256 defaultWithdrawFee;
        LPToken lpToken;
        // contract references for all tokens being pooled
        IERC20[] pooledTokens;
        // multipliers for each pooled token's precision to get to POOL_PRECISION_DECIMALS
        // for example, TBTC has 18 decimals, so the multiplier should be 1. WBTC
        // has 8, so the multiplier should be 10 ** 18 / 10 ** 8 => 10 ** 10
        uint256[] tokenPrecisionMultipliers;
        // the pool balance of each token, in the token's precision
        // the contract's actual token balance might differ
        uint256[] balances;
        mapping(address => uint256) depositTimestamp;
        mapping(address => uint256) withdrawFeeMultiplier;
    }
    // Struct storing variables used in calculations in the
    // calculateWithdrawOneTokenDY function to avoid stack too deep errors
    struct CalculateWithdrawOneTokenDYInfo {
        uint256 d0;
        uint256 d1;
        uint256 newY;
        uint256 feePerToken;
        uint256 preciseA;
    }
    // Struct storing variables used in calculation in addLiquidity function
    // to avoid stack too deep error
    struct AddLiquidityInfo {
        uint256 d0;
        uint256 d1;
        uint256 d2;
        uint256 preciseA;
    }
    // Struct storing variables used in calculation in removeLiquidityImbalance function
    // to avoid stack too deep error
    struct RemoveLiquidityImbalanceInfo {
        uint256 d0;
        uint256 d1;
        uint256 d2;
        uint256 preciseA;
    }
    // the precision all pools tokens will be converted to
    uint8 public constant POOL_PRECISION_DECIMALS = 18;
    // the denominator used to calculate admin and LP fees. For example, an
    // LP fee might be something like tradeAmount.mul(fee).div(FEE_DENOMINATOR)
    uint256 private constant FEE_DENOMINATOR = 10**10;
    // Max swap fee is 1% or 100bps of each swap
    uint256 public constant MAX_SWAP_FEE = 10**8;
    // Max adminFee is 100% of the swapFee
    // adminFee does not add additional fee on top of swapFee
    // Instead it takes a certain % of the swapFee. Therefore it has no impact on the
    // users but only on the earnings of LPs
    uint256 public constant MAX_ADMIN_FEE = 10**10;
    // Max withdrawFee is 1% of the value withdrawn
    // Fee will be redistributed to the LPs in the pool, rewarding
    // long term providers.
    uint256 public constant MAX_WITHDRAW_FEE = 10**8;
    // Constant value used as max loop limit
    uint256 private constant MAX_LOOP_LIMIT = 256;
    // Constant values used in ramping A calculations
    uint256 public constant A_PRECISION = 100;
    uint256 public constant MAX_A = 10**6;
    uint256 private constant MAX_A_CHANGE = 2;
    uint256 private constant MIN_RAMP_TIME = 14 days;
    /*** VIEW & PURE FUNCTIONS ***/
    /**
     * @notice Return A, the amplification coefficient * n * (n - 1)
     * @dev See the StableSwap paper for details
     * @param self Swap struct to read from
     * @return A parameter
     */
    function getA(Swap storage self) external view returns (uint256) {
        return _getA(self);
    }
    /**
     * @notice Return A, the amplification coefficient * n * (n - 1)
     * @dev See the StableSwap paper for details
     * @param self Swap struct to read from
     * @return A parameter
     */
    function _getA(Swap storage self) internal view returns (uint256) {
        return _getAPrecise(self).div(A_PRECISION);
    }
    /**
     * @notice Return A in its raw precision
     * @dev See the StableSwap paper for details
     * @param self Swap struct to read from
     * @return A parameter in its raw precision form
     */
    function getAPrecise(Swap storage self) external view returns (uint256) {
        return _getAPrecise(self);
    }
    /**
     * @notice Calculates and returns A based on the ramp settings
     * @dev See the StableSwap paper for details
     * @param self Swap struct to read from
     * @return A parameter in its raw precision form
     */
    function _getAPrecise(Swap storage self) internal view returns (uint256) {
        uint256 t1 = self.futureATime; // time when ramp is finished
        uint256 a1 = self.futureA; // final A value when ramp is finished
        if (block.timestamp < t1) {
            uint256 t0 = self.initialATime; // time when ramp is started
            uint256 a0 = self.initialA; // initial A value when ramp is started
            if (a1 > a0) {
                // a0 + (a1 - a0) * (block.timestamp - t0) / (t1 - t0)
                return
                    a0.add(
                        a1.sub(a0).mul(block.timestamp.sub(t0)).div(t1.sub(t0))
                    );
            } else {
                // a0 - (a0 - a1) * (block.timestamp - t0) / (t1 - t0)
                return
                    a0.sub(
                        a0.sub(a1).mul(block.timestamp.sub(t0)).div(t1.sub(t0))
                    );
            }
        } else {
            return a1;
        }
    }
    /**
     * @notice Retrieves the timestamp of last deposit made by the given address
     * @param self Swap struct to read from
     * @return timestamp of last deposit
     */
    function getDepositTimestamp(Swap storage self, address user)
        external
        view
        returns (uint256)
    {
        return self.depositTimestamp[user];
    }
    /**
     * @notice Calculate the dy, the amount of selected token that user receives and
     * the fee of withdrawing in one token
     * @param account the address that is withdrawing
     * @param tokenAmount the amount to withdraw in the pool's precision
     * @param tokenIndex which token will be withdrawn
     * @param self Swap struct to read from
     * @return the amount of token user will receive and the associated swap fee
     */
    function calculateWithdrawOneToken(
        Swap storage self,
        address account,
        uint256 tokenAmount,
        uint8 tokenIndex
    ) public view returns (uint256, uint256) {
        uint256 dy;
        uint256 newY;
        (dy, newY) = calculateWithdrawOneTokenDY(self, tokenIndex, tokenAmount);
        // dy_0 (without fees)
        // dy, dy_0 - dy
        uint256 dySwapFee =
            _xp(self)[tokenIndex]
                .sub(newY)
                .div(self.tokenPrecisionMultipliers[tokenIndex])
                .sub(dy);
        dy = dy
            .mul(
            FEE_DENOMINATOR.sub(calculateCurrentWithdrawFee(self, account))
        )
            .div(FEE_DENOMINATOR);
        return (dy, dySwapFee);
    }
    /**
     * @notice Calculate the dy of withdrawing in one token
     * @param self Swap struct to read from
     * @param tokenIndex which token will be withdrawn
     * @param tokenAmount the amount to withdraw in the pools precision
     * @return the d and the new y after withdrawing one token
     */
    function calculateWithdrawOneTokenDY(
        Swap storage self,
        uint8 tokenIndex,
        uint256 tokenAmount
    ) internal view returns (uint256, uint256) {
        require(
            tokenIndex < self.pooledTokens.length,
            "Token index out of range"
        );
        // Get the current D, then solve the stableswap invariant
        // y_i for D - tokenAmount
        uint256[] memory xp = _xp(self);
        CalculateWithdrawOneTokenDYInfo memory v =
            CalculateWithdrawOneTokenDYInfo(0, 0, 0, 0, 0);
        v.preciseA = _getAPrecise(self);
        v.d0 = getD(xp, v.preciseA);
        v.d1 = v.d0.sub(tokenAmount.mul(v.d0).div(self.lpToken.totalSupply()));
        require(tokenAmount <= xp[tokenIndex], "Withdraw exceeds available");
        v.newY = getYD(v.preciseA, tokenIndex, xp, v.d1);
        uint256[] memory xpReduced = new uint256[](xp.length);
        v.feePerToken = _feePerToken(self);
        for (uint256 i = 0; i < self.pooledTokens.length; i++) {
            uint256 xpi = xp[i];
            // if i == tokenIndex, dxExpected = xp[i] * d1 / d0 - newY
            // else dxExpected = xp[i] - (xp[i] * d1 / d0)
            // xpReduced[i] -= dxExpected * fee / FEE_DENOMINATOR
            xpReduced[i] = xpi.sub(
                (
                    (i == tokenIndex)
                        ? xpi.mul(v.d1).div(v.d0).sub(v.newY)
                        : xpi.sub(xpi.mul(v.d1).div(v.d0))
                )
                    .mul(v.feePerToken)
                    .div(FEE_DENOMINATOR)
            );
        }
        uint256 dy =
            xpReduced[tokenIndex].sub(
                getYD(v.preciseA, tokenIndex, xpReduced, v.d1)
            );
        dy = dy.sub(1).div(self.tokenPrecisionMultipliers[tokenIndex]);
        return (dy, v.newY);
    }
    /**
     * @notice Calculate the price of a token in the pool with given
     * precision-adjusted balances and a particular D.
     *
     * @dev This is accomplished via solving the invariant iteratively.
     * See the StableSwap paper and Curve.fi implementation for further details.
     *
     * x_1**2 + x1 * (sum' - (A*n**n - 1) * D / (A * n**n)) = D ** (n + 1) / (n ** (2 * n) * prod' * A)
     * x_1**2 + b*x_1 = c
     * x_1 = (x_1**2 + c) / (2*x_1 + b)
     *
     * @param a the amplification coefficient * n * (n - 1). See the StableSwap paper for details.
     * @param tokenIndex Index of token we are calculating for.
     * @param xp a precision-adjusted set of pool balances. Array should be
     * the same cardinality as the pool.
     * @param d the stableswap invariant
     * @return the price of the token, in the same precision as in xp
     */
    function getYD(
        uint256 a,
        uint8 tokenIndex,
        uint256[] memory xp,
        uint256 d
    ) internal pure returns (uint256) {
        uint256 numTokens = xp.length;
        require(tokenIndex < numTokens, "Token not found");
        uint256 c = d;
        uint256 s;
        uint256 nA = a.mul(numTokens);
        for (uint256 i = 0; i < numTokens; i++) {
            if (i != tokenIndex) {
                s = s.add(xp[i]);
                c = c.mul(d).div(xp[i].mul(numTokens));
                // If we were to protect the division loss we would have to keep the denominator separate
                // and divide at the end. However this leads to overflow with large numTokens or/and D.
                // c = c * D * D * D * ... overflow!
            }
        }
        c = c.mul(d).mul(A_PRECISION).div(nA.mul(numTokens));
        uint256 b = s.add(d.mul(A_PRECISION).div(nA));
        uint256 yPrev;
        uint256 y = d;
        for (uint256 i = 0; i < MAX_LOOP_LIMIT; i++) {
            yPrev = y;
            y = y.mul(y).add(c).div(y.mul(2).add(b).sub(d));
            if (y.within1(yPrev)) {
                return y;
            }
        }
        revert("Approximation did not converge");
    }
    /**
     * @notice Get D, the StableSwap invariant, based on a set of balances and a particular A.
     * @param xp a precision-adjusted set of pool balances. Array should be the same cardinality
     * as the pool.
     * @param a the amplification coefficient * n * (n - 1) in A_PRECISION.
     * See the StableSwap paper for details
     * @return the invariant, at the precision of the pool
     */
    function getD(uint256[] memory xp, uint256 a)
        internal
        pure
        returns (uint256)
    {
        uint256 numTokens = xp.length;
        uint256 s;
        for (uint256 i = 0; i < numTokens; i++) {
            s = s.add(xp[i]);
        }
        if (s == 0) {
            return 0;
        }
        uint256 prevD;
        uint256 d = s;
        uint256 nA = a.mul(numTokens);
        for (uint256 i = 0; i < MAX_LOOP_LIMIT; i++) {
            uint256 dP = d;
            for (uint256 j = 0; j < numTokens; j++) {
                dP = dP.mul(d).div(xp[j].mul(numTokens));
                // If we were to protect the division loss we would have to keep the denominator separate
                // and divide at the end. However this leads to overflow with large numTokens or/and D.
                // dP = dP * D * D * D * ... overflow!
            }
            prevD = d;
            d = nA.mul(s).div(A_PRECISION).add(dP.mul(numTokens)).mul(d).div(
                nA.sub(A_PRECISION).mul(d).div(A_PRECISION).add(
                    numTokens.add(1).mul(dP)
                )
            );
            if (d.within1(prevD)) {
                return d;
            }
        }
        // Convergence should occur in 4 loops or less. If this is reached, there may be something wrong
        // with the pool. If this were to occur repeatedly, LPs should withdraw via `removeLiquidity()`
        // function which does not rely on D.
        revert("D does not converge");
    }
    /**
     * @notice Get D, the StableSwap invariant, based on self Swap struct
     * @param self Swap struct to read from
     * @return The invariant, at the precision of the pool
     */
    function getD(Swap storage self) internal view returns (uint256) {
        return getD(_xp(self), _getAPrecise(self));
    }
    /**
     * @notice Given a set of balances and precision multipliers, return the
     * precision-adjusted balances.
     *
     * @param balances an array of token balances, in their native precisions.
     * These should generally correspond with pooled tokens.
     *
     * @param precisionMultipliers an array of multipliers, corresponding to
     * the amounts in the balances array. When multiplied together they
     * should yield amounts at the pool's precision.
     *
     * @return an array of amounts "scaled" to the pool's precision
     */
    function _xp(
        uint256[] memory balances,
        uint256[] memory precisionMultipliers
    ) internal pure returns (uint256[] memory) {
        uint256 numTokens = balances.length;
        require(
            numTokens == precisionMultipliers.length,
            "Balances must match multipliers"
        );
        uint256[] memory xp = new uint256[](numTokens);
        for (uint256 i = 0; i < numTokens; i++) {
            xp[i] = balances[i].mul(precisionMultipliers[i]);
        }
        return xp;
    }
    /**
     * @notice Return the precision-adjusted balances of all tokens in the pool
     * @param self Swap struct to read from
     * @param balances array of balances to scale
     * @return balances array "scaled" to the pool's precision, allowing
     * them to be more easily compared.
     */
    function _xp(Swap storage self, uint256[] memory balances)
        internal
        view
        returns (uint256[] memory)
    {
        return _xp(balances, self.tokenPrecisionMultipliers);
    }
    /**
     * @notice Return the precision-adjusted balances of all tokens in the pool
     * @param self Swap struct to read from
     * @return the pool balances "scaled" to the pool's precision, allowing
     * them to be more easily compared.
     */
    function _xp(Swap storage self) internal view returns (uint256[] memory) {
        return _xp(self.balances, self.tokenPrecisionMultipliers);
    }
    /**
     * @notice Get the virtual price, to help calculate profit
     * @param self Swap struct to read from
     * @return the virtual price, scaled to precision of POOL_PRECISION_DECIMALS
     */
    function getVirtualPrice(Swap storage self)
        external
        view
        returns (uint256)
    {
        uint256 d = getD(_xp(self), _getAPrecise(self));
        uint256 supply = self.lpToken.totalSupply();
        if (supply > 0) {
            return
                d.mul(10**uint256(ERC20(self.lpToken).decimals())).div(supply);
        }
        return 0;
    }
    /**
     * @notice Calculate the new balances of the tokens given the indexes of the token
     * that is swapped from (FROM) and the token that is swapped to (TO).
     * This function is used as a helper function to calculate how much TO token
     * the user should receive on swap.
     *
     * @param self Swap struct to read from
     * @param tokenIndexFrom index of FROM token
     * @param tokenIndexTo index of TO token
     * @param x the new total amount of FROM token
     * @param xp balances of the tokens in the pool
     * @return the amount of TO token that should remain in the pool
     */
    function getY(
        Swap storage self,
        uint8 tokenIndexFrom,
        uint8 tokenIndexTo,
        uint256 x,
        uint256[] memory xp
    ) internal view returns (uint256) {
        uint256 numTokens = self.pooledTokens.length;
        require(
            tokenIndexFrom != tokenIndexTo,
            "Can't compare token to itself"
        );
        require(
            tokenIndexFrom < numTokens && tokenIndexTo < numTokens,
            "Tokens must be in pool"
        );
        uint256 a = _getAPrecise(self);
        uint256 d = getD(xp, a);
        uint256 c = d;
        uint256 s;
        uint256 nA = numTokens.mul(a);
        uint256 _x;
        for (uint256 i = 0; i < numTokens; i++) {
            if (i == tokenIndexFrom) {
                _x = x;
            } else if (i != tokenIndexTo) {
                _x = xp[i];
            } else {
                continue;
            }
            s = s.add(_x);
            c = c.mul(d).div(_x.mul(numTokens));
            // If we were to protect the division loss we would have to keep the denominator separate
            // and divide at the end. However this leads to overflow with large numTokens or/and D.
            // c = c * D * D * D * ... overflow!
        }
        c = c.mul(d).mul(A_PRECISION).div(nA.mul(numTokens));
        uint256 b = s.add(d.mul(A_PRECISION).div(nA));
        uint256 yPrev;
        uint256 y = d;
        // iterative approximation
        for (uint256 i = 0; i < MAX_LOOP_LIMIT; i++) {
            yPrev = y;
            y = y.mul(y).add(c).div(y.mul(2).add(b).sub(d));
            if (y.within1(yPrev)) {
                return y;
            }
        }
        revert("Approximation did not converge");
    }
    /**
     * @notice Externally calculates a swap between two tokens.
     * @param self Swap struct to read from
     * @param tokenIndexFrom the token to sell
     * @param tokenIndexTo the token to buy
     * @param dx the number of tokens to sell. If the token charges a fee on transfers,
     * use the amount that gets transferred after the fee.
     * @return dy the number of tokens the user will get
     */
    function calculateSwap(
        Swap storage self,
        uint8 tokenIndexFrom,
        uint8 tokenIndexTo,
        uint256 dx
    ) external view returns (uint256 dy) {
        (dy, ) = _calculateSwap(self, tokenIndexFrom, tokenIndexTo, dx);
    }
    /**
     * @notice Internally calculates a swap between two tokens.
     *
     * @dev The caller is expected to transfer the actual amounts (dx and dy)
     * using the token contracts.
     *
     * @param self Swap struct to read from
     * @param tokenIndexFrom the token to sell
     * @param tokenIndexTo the token to buy
     * @param dx the number of tokens to sell. If the token charges a fee on transfers,
     * use the amount that gets transferred after the fee.
     * @return dy the number of tokens the user will get
     * @return dyFee the associated fee
     */
    function _calculateSwap(
        Swap storage self,
        uint8 tokenIndexFrom,
        uint8 tokenIndexTo,
        uint256 dx
    ) internal view returns (uint256 dy, uint256 dyFee) {
        uint256[] memory xp = _xp(self);
        require(
            tokenIndexFrom < xp.length && tokenIndexTo < xp.length,
            "Token index out of range"
        );
        uint256 x =
            dx.mul(self.tokenPrecisionMultipliers[tokenIndexFrom]).add(
                xp[tokenIndexFrom]
            );
        uint256 y = getY(self, tokenIndexFrom, tokenIndexTo, x, xp);
        dy = xp[tokenIndexTo].sub(y).sub(1);
        dyFee = dy.mul(self.swapFee).div(FEE_DENOMINATOR);
        dy = dy.sub(dyFee).div(self.tokenPrecisionMultipliers[tokenIndexTo]);
    }
    /**
     * @notice A simple method to calculate amount of each underlying
     * tokens that is returned upon burning given amount of
     * LP tokens
     *
     * @param account the address that is removing liquidity. required for withdraw fee calculation
     * @param amount the amount of LP tokens that would to be burned on
     * withdrawal
     * @return array of amounts of tokens user will receive
     */
    function calculateRemoveLiquidity(
        Swap storage self,
        address account,
        uint256 amount
    ) external view returns (uint256[] memory) {
        return _calculateRemoveLiquidity(self, account, amount);
    }
    function _calculateRemoveLiquidity(
        Swap storage self,
        address account,
        uint256 amount
    ) internal view returns (uint256[] memory) {
        uint256 totalSupply = self.lpToken.totalSupply();
        require(amount <= totalSupply, "Cannot exceed total supply");
        uint256 feeAdjustedAmount =
            amount
                .mul(
                FEE_DENOMINATOR.sub(calculateCurrentWithdrawFee(self, account))
            )
                .div(FEE_DENOMINATOR);
        uint256[] memory amounts = new uint256[](self.pooledTokens.length);
        for (uint256 i = 0; i < self.pooledTokens.length; i++) {
            amounts[i] = self.balances[i].mul(feeAdjustedAmount).div(
                totalSupply
            );
        }
        return amounts;
    }
    /**
     * @notice Calculate the fee that is applied when the given user withdraws.
     * Withdraw fee decays linearly over 4 weeks.
     * @param user address you want to calculate withdraw fee of
     * @return current withdraw fee of the user
     */
    function calculateCurrentWithdrawFee(Swap storage self, address user)
        public
        view
        returns (uint256)
    {
        uint256 endTime = self.depositTimestamp[user].add(4 weeks);
        if (endTime > block.timestamp) {
            uint256 timeLeftover = endTime.sub(block.timestamp);
            return
                self
                    .defaultWithdrawFee
                    .mul(self.withdrawFeeMultiplier[user])
                    .mul(timeLeftover)
                    .div(4 weeks)
                    .div(FEE_DENOMINATOR);
        }
        return 0;
    }
    /**
     * @notice A simple method to calculate prices from deposits or
     * withdrawals, excluding fees but including slippage. This is
     * helpful as an input into the various "min" parameters on calls
     * to fight front-running
     *
     * @dev This shouldn't be used outside frontends for user estimates.
     *
     * @param self Swap struct to read from
     * @param account address of the account depositing or withdrawing tokens
     * @param amounts an array of token amounts to deposit or withdrawal,
     * corresponding to pooledTokens. The amount should be in each
     * pooled token's native precision. If a token charges a fee on transfers,
     * use the amount that gets transferred after the fee.
     * @param deposit whether this is a deposit or a withdrawal
     * @return if deposit was true, total amount of lp token that will be minted and if
     * deposit was false, total amount of lp token that will be burned
     */
    function calculateTokenAmount(
        Swap storage self,
        address account,
        uint256[] calldata amounts,
        bool deposit
    ) external view returns (uint256) {
        uint256 numTokens = self.pooledTokens.length;
        uint256 a = _getAPrecise(self);
        uint256 d0 = getD(_xp(self, self.balances), a);
        uint256[] memory balances1 = self.balances;
        for (uint256 i = 0; i < numTokens; i++) {
            if (deposit) {
                balances1[i] = balances1[i].add(amounts[i]);
            } else {
                balances1[i] = balances1[i].sub(
                    amounts[i],
                    "Cannot withdraw more than available"
                );
            }
        }
        uint256 d1 = getD(_xp(self, balances1), a);
        uint256 totalSupply = self.lpToken.totalSupply();
        if (deposit) {
            return d1.sub(d0).mul(totalSupply).div(d0);
        } else {
            return
                d0.sub(d1).mul(totalSupply).div(d0).mul(FEE_DENOMINATOR).div(
                    FEE_DENOMINATOR.sub(
                        calculateCurrentWithdrawFee(self, account)
                    )
                );
        }
    }
    /**
     * @notice return accumulated amount of admin fees of the token with given index
     * @param self Swap struct to read from
     * @param index Index of the pooled token
     * @return admin balance in the token's precision
     */
    function getAdminBalance(Swap storage self, uint256 index)
        external
        view
        returns (uint256)
    {
        require(index < self.pooledTokens.length, "Token index out of range");
        return
            self.pooledTokens[index].balanceOf(address(this)).sub(
                self.balances[index]
            );
    }
    /**
     * @notice internal helper function to calculate fee per token multiplier used in
     * swap fee calculations
     * @param self Swap struct to read from
     */
    function _feePerToken(Swap storage self) internal view returns (uint256) {
        return
            self.swapFee.mul(self.pooledTokens.length).div(
                self.pooledTokens.length.sub(1).mul(4)
            );
    }
    /*** STATE MODIFYING FUNCTIONS ***/
    /**
     * @notice swap two tokens in the pool
     * @param self Swap struct to read from and write to
     * @param tokenIndexFrom the token the user wants to sell
     * @param tokenIndexTo the token the user wants to buy
     * @param dx the amount of tokens the user wants to sell
     * @param minDy the min amount the user would like to receive, or revert.
     * @return amount of token user received on swap
     */
    function swap(
        Swap storage self,
        uint8 tokenIndexFrom,
        uint8 tokenIndexTo,
        uint256 dx,
        uint256 minDy
    ) external returns (uint256) {
        require(
            dx <= self.pooledTokens[tokenIndexFrom].balanceOf(msg.sender),
            "Cannot swap more than you own"
        );
        // Transfer tokens first to see if a fee was charged on transfer
        uint256 beforeBalance =
            self.pooledTokens[tokenIndexFrom].balanceOf(address(this));
        self.pooledTokens[tokenIndexFrom].safeTransferFrom(
            msg.sender,
            address(this),
            dx
        );
        // Use the actual transferred amount for AMM math
        uint256 transferredDx =
            self.pooledTokens[tokenIndexFrom].balanceOf(address(this)).sub(
                beforeBalance
            );
        (uint256 dy, uint256 dyFee) =
            _calculateSwap(self, tokenIndexFrom, tokenIndexTo, transferredDx);
        require(dy >= minDy, "Swap didn't result in min tokens");
        uint256 dyAdminFee =
            dyFee.mul(self.adminFee).div(FEE_DENOMINATOR).div(
                self.tokenPrecisionMultipliers[tokenIndexTo]
            );
        self.balances[tokenIndexFrom] = self.balances[tokenIndexFrom].add(
            transferredDx
        );
        self.balances[tokenIndexTo] = self.balances[tokenIndexTo].sub(dy).sub(
            dyAdminFee
        );
        self.pooledTokens[tokenIndexTo].safeTransfer(msg.sender, dy);
        emit TokenSwap(
            msg.sender,
            transferredDx,
            dy,
            tokenIndexFrom,
            tokenIndexTo
        );
        return dy;
    }
    /**
     * @notice Add liquidity to the pool
     * @param self Swap struct to read from and write to
     * @param amounts the amounts of each token to add, in their native precision
     * @param minToMint the minimum LP tokens adding this amount of liquidity
     * should mint, otherwise revert. Handy for front-running mitigation
     * allowed addresses. If the pool is not in the guarded launch phase, this parameter will be ignored.
     * @return amount of LP token user received
     */
    function addLiquidity(
        Swap storage self,
        uint256[] memory amounts,
        uint256 minToMint
    ) external returns (uint256) {
        require(
            amounts.length == self.pooledTokens.length,
            "Amounts must match pooled tokens"
        );
        uint256[] memory fees = new uint256[](self.pooledTokens.length);
        // current state
        AddLiquidityInfo memory v = AddLiquidityInfo(0, 0, 0, 0);
        uint256 totalSupply = self.lpToken.totalSupply();
        if (totalSupply != 0) {
            v.d0 = getD(self);
        }
        uint256[] memory newBalances = self.balances;
        for (uint256 i = 0; i < self.pooledTokens.length; i++) {
            require(
                totalSupply != 0 || amounts[i] > 0,
                "Must supply all tokens in pool"
            );
            // Transfer tokens first to see if a fee was charged on transfer
            if (amounts[i] != 0) {
                uint256 beforeBalance =
                    self.pooledTokens[i].balanceOf(address(this));
                self.pooledTokens[i].safeTransferFrom(
                    msg.sender,
                    address(this),
                    amounts[i]
                );
                // Update the amounts[] with actual transfer amount
                amounts[i] = self.pooledTokens[i].balanceOf(address(this)).sub(
                    beforeBalance
                );
            }
            newBalances[i] = self.balances[i].add(amounts[i]);
        }
        // invariant after change
        v.preciseA = _getAPrecise(self);
        v.d1 = getD(_xp(self, newBalances), v.preciseA);
        require(v.d1 > v.d0, "D should increase");
        // updated to reflect fees and calculate the user's LP tokens
        v.d2 = v.d1;
        if (totalSupply != 0) {
            uint256 feePerToken = _feePerToken(self);
            for (uint256 i = 0; i < self.pooledTokens.length; i++) {
                uint256 idealBalance = v.d1.mul(self.balances[i]).div(v.d0);
                fees[i] = feePerToken
                    .mul(idealBalance.difference(newBalances[i]))
                    .div(FEE_DENOMINATOR);
                self.balances[i] = newBalances[i].sub(
                    fees[i].mul(self.adminFee).div(FEE_DENOMINATOR)
                );
                newBalances[i] = newBalances[i].sub(fees[i]);
            }
            v.d2 = getD(_xp(self, newBalances), v.preciseA);
        } else {
            // the initial depositor doesn't pay fees
            self.balances = newBalances;
        }
        uint256 toMint;
        if (totalSupply == 0) {
            toMint = v.d1;
        } else {
            toMint = v.d2.sub(v.d0).mul(totalSupply).div(v.d0);
        }
        require(toMint >= minToMint, "Couldn't mint min requested");
        // mint the user's LP tokens
        self.lpToken.mint(msg.sender, toMint);
        emit AddLiquidity(
            msg.sender,
            amounts,
            fees,
            v.d1,
            totalSupply.add(toMint)
        );
        return toMint;
    }
    /**
     * @notice Update the withdraw fee for `user`. If the user is currently
     * not providing liquidity in the pool, sets to default value. If not, recalculate
     * the starting withdraw fee based on the last deposit's time & amount relative
     * to the new deposit.
     *
     * @param self Swap struct to read from and write to
     * @param user address of the user depositing tokens
     * @param toMint amount of pool tokens to be minted
     */
    function updateUserWithdrawFee(
        Swap storage self,
        address user,
        uint256 toMint
    ) external {
        _updateUserWithdrawFee(self, user, toMint);
    }
    function _updateUserWithdrawFee(
        Swap storage self,
        address user,
        uint256 toMint
    ) internal {
        // If token is transferred to address 0 (or burned), don't update the fee.
        if (user == address(0)) {
            return;
        }
        if (self.defaultWithdrawFee == 0) {
            // If current fee is set to 0%, set multiplier to FEE_DENOMINATOR
            self.withdrawFeeMultiplier[user] = FEE_DENOMINATOR;
        } else {
            // Otherwise, calculate appropriate discount based on last deposit amount
            uint256 currentFee = calculateCurrentWithdrawFee(self, user);
            uint256 currentBalance = self.lpToken.balanceOf(user);
            // ((currentBalance * currentFee) + (toMint * defaultWithdrawFee)) * FEE_DENOMINATOR /
            // ((toMint + currentBalance) * defaultWithdrawFee)
            self.withdrawFeeMultiplier[user] = currentBalance
                .mul(currentFee)
                .add(toMint.mul(self.defaultWithdrawFee))
                .mul(FEE_DENOMINATOR)
                .div(toMint.add(currentBalance).mul(self.defaultWithdrawFee));
        }
        self.depositTimestamp[user] = block.timestamp;
    }
    /**
     * @notice Burn LP tokens to remove liquidity from the pool.
     * @dev Liquidity can always be removed, even when the pool is paused.
     * @param self Swap struct to read from and write to
     * @param amount the amount of LP tokens to burn
     * @param minAmounts the minimum amounts of each token in the pool
     * acceptable for this burn. Useful as a front-running mitigation
     * @return amounts of tokens the user received
     */
    function removeLiquidity(
        Swap storage self,
        uint256 amount,
        uint256[] calldata minAmounts
    ) external returns (uint256[] memory) {
        require(amount <= self.lpToken.balanceOf(msg.sender), ">LP.balanceOf");
        require(
            minAmounts.length == self.pooledTokens.length,
            "minAmounts must match poolTokens"
        );
        uint256[] memory amounts =
            _calculateRemoveLiquidity(self, msg.sender, amount);
        for (uint256 i = 0; i < amounts.length; i++) {
            require(amounts[i] >= minAmounts[i], "amounts[i] < minAmounts[i]");
            self.balances[i] = self.balances[i].sub(amounts[i]);
            self.pooledTokens[i].safeTransfer(msg.sender, amounts[i]);
        }
        self.lpToken.burnFrom(msg.sender, amount);
        emit RemoveLiquidity(msg.sender, amounts, self.lpToken.totalSupply());
        return amounts;
    }
    /**
     * @notice Remove liquidity from the pool all in one token.
     * @param self Swap struct to read from and write to
     * @param tokenAmount the amount of the lp tokens to burn
     * @param tokenIndex the index of the token you want to receive
     * @param minAmount the minimum amount to withdraw, otherwise revert
     * @return amount chosen token that user received
     */
    function removeLiquidityOneToken(
        Swap storage self,
        uint256 tokenAmount,
        uint8 tokenIndex,
        uint256 minAmount
    ) external returns (uint256) {
        uint256 totalSupply = self.lpToken.totalSupply();
        uint256 numTokens = self.pooledTokens.length;
        require(
            tokenAmount <= self.lpToken.balanceOf(msg.sender),
            ">LP.balanceOf"
        );
        require(tokenIndex < numTokens, "Token not found");
        uint256 dyFee;
        uint256 dy;
        (dy, dyFee) = calculateWithdrawOneToken(
            self,
            msg.sender,
            tokenAmount,
            tokenIndex
        );
        require(dy >= minAmount, "dy < minAmount");
        self.balances[tokenIndex] = self.balances[tokenIndex].sub(
            dy.add(dyFee.mul(self.adminFee).div(FEE_DENOMINATOR))
        );
        self.lpToken.burnFrom(msg.sender, tokenAmount);
        self.pooledTokens[tokenIndex].safeTransfer(msg.sender, dy);
        emit RemoveLiquidityOne(
            msg.sender,
            tokenAmount,
            totalSupply,
            tokenIndex,
            dy
        );
        return dy;
    }
    /**
     * @notice Remove liquidity from the pool, weighted differently than the
     * pool's current balances.
     *
     * @param self Swap struct to read from and write to
     * @param amounts how much of each token to withdraw
     * @param maxBurnAmount the max LP token provider is willing to pay to
     * remove liquidity. Useful as a front-running mitigation.
     * @return actual amount of LP tokens burned in the withdrawal
     */
    function removeLiquidityImbalance(
        Swap storage self,
        uint256[] memory amounts,
        uint256 maxBurnAmount
    ) public returns (uint256) {
        require(
            amounts.length == self.pooledTokens.length,
            "Amounts should match pool tokens"
        );
        require(
            maxBurnAmount <= self.lpToken.balanceOf(msg.sender) &&
                maxBurnAmount != 0,
            ">LP.balanceOf"
        );
        RemoveLiquidityImbalanceInfo memory v =
            RemoveLiquidityImbalanceInfo(0, 0, 0, 0);
        uint256 tokenSupply = self.lpToken.totalSupply();
        uint256 feePerToken = _feePerToken(self);
        uint256[] memory balances1 = self.balances;
        v.preciseA = _getAPrecise(self);
        v.d0 = getD(_xp(self), v.preciseA);
        for (uint256 i = 0; i < self.pooledTokens.length; i++) {
            balances1[i] = balances1[i].sub(
                amounts[i],
                "Cannot withdraw more than available"
            );
        }
        v.d1 = getD(_xp(self, balances1), v.preciseA);
        uint256[] memory fees = new uint256[](self.pooledTokens.length);
        for (uint256 i = 0; i < self.pooledTokens.length; i++) {
            uint256 idealBalance = v.d1.mul(self.balances[i]).div(v.d0);
            uint256 difference = idealBalance.difference(balances1[i]);
            fees[i] = feePerToken.mul(difference).div(FEE_DENOMINATOR);
            self.balances[i] = balances1[i].sub(
                fees[i].mul(self.adminFee).div(FEE_DENOMINATOR)
            );
            balances1[i] = balances1[i].sub(fees[i]);
        }
        v.d2 = getD(_xp(self, balances1), v.preciseA);
        uint256 tokenAmount = v.d0.sub(v.d2).mul(tokenSupply).div(v.d0);
        require(tokenAmount != 0, "Burnt amount cannot be zero");
        tokenAmount = tokenAmount.add(1).mul(FEE_DENOMINATOR).div(
            FEE_DENOMINATOR.sub(calculateCurrentWithdrawFee(self, msg.sender))
        );
        require(tokenAmount <= maxBurnAmount, "tokenAmount > maxBurnAmount");
        self.lpToken.burnFrom(msg.sender, tokenAmount);
        for (uint256 i = 0; i < self.pooledTokens.length; i++) {
            self.pooledTokens[i].safeTransfer(msg.sender, amounts[i]);
        }
        emit RemoveLiquidityImbalance(
            msg.sender,
            amounts,
            fees,
            v.d1,
            tokenSupply.sub(tokenAmount)
        );
        return tokenAmount;
    }
    /**
     * @notice withdraw all admin fees to a given address
     * @param self Swap struct to withdraw fees from
     * @param to Address to send the fees to
     */
    function withdrawAdminFees(Swap storage self, address to) external {
        for (uint256 i = 0; i < self.pooledTokens.length; i++) {
            IERC20 token = self.pooledTokens[i];
            uint256 balance =
                token.balanceOf(address(this)).sub(self.balances[i]);
            if (balance != 0) {
                token.safeTransfer(to, balance);
            }
        }
    }
    /**
     * @notice Sets the admin fee
     * @dev adminFee cannot be higher than 100% of the swap fee
     * @param self Swap struct to update
     * @param newAdminFee new admin fee to be applied on future transactions
     */
    function setAdminFee(Swap storage self, uint256 newAdminFee) external {
        require(newAdminFee <= MAX_ADMIN_FEE, "Fee is too high");
        self.adminFee = newAdminFee;
        emit NewAdminFee(newAdminFee);
    }
    /**
     * @notice update the swap fee
     * @dev fee cannot be higher than 1% of each swap
     * @param self Swap struct to update
     * @param newSwapFee new swap fee to be applied on future transactions
     */
    function setSwapFee(Swap storage self, uint256 newSwapFee) external {
        require(newSwapFee <= MAX_SWAP_FEE, "Fee is too high");
        self.swapFee = newSwapFee;
        emit NewSwapFee(newSwapFee);
    }
    /**
     * @notice update the default withdraw fee. This also affects deposits made in the past as well.
     * @param self Swap struct to update
     * @param newWithdrawFee new withdraw fee to be applied
     */
    function setDefaultWithdrawFee(Swap storage self, uint256 newWithdrawFee)
        external
    {
        require(newWithdrawFee <= MAX_WITHDRAW_FEE, "Fee is too high");
        self.defaultWithdrawFee = newWithdrawFee;
        emit NewWithdrawFee(newWithdrawFee);
    }
    /**
     * @notice Start ramping up or down A parameter towards given futureA_ and futureTime_
     * Checks if the change is too rapid, and commits the new A value only when it falls under
     * the limit range.
     * @param self Swap struct to update
     * @param futureA_ the new A to ramp towards
     * @param futureTime_ timestamp when the new A should be reached
     */
    function rampA(
        Swap storage self,
        uint256 futureA_,
        uint256 futureTime_
    ) external {
        require(
            block.timestamp >= self.initialATime.add(1 days),
            "Wait 1 day before starting ramp"
        );
        require(
            futureTime_ >= block.timestamp.add(MIN_RAMP_TIME),
            "Insufficient ramp time"
        );
        require(
            futureA_ > 0 && futureA_ < MAX_A,
            "futureA_ must be > 0 and < MAX_A"
        );
        uint256 initialAPrecise = _getAPrecise(self);
        uint256 futureAPrecise = futureA_.mul(A_PRECISION);
        if (futureAPrecise < initialAPrecise) {
            require(
                futureAPrecise.mul(MAX_A_CHANGE) >= initialAPrecise,
                "futureA_ is too small"
            );
        } else {
            require(
                futureAPrecise <= initialAPrecise.mul(MAX_A_CHANGE),
                "futureA_ is too large"
            );
        }
        self.initialA = initialAPrecise;
        self.futureA = futureAPrecise;
        self.initialATime = block.timestamp;
        self.futureATime = futureTime_;
        emit RampA(
            initialAPrecise,
            futureAPrecise,
            block.timestamp,
            futureTime_
        );
    }
    /**
     * @notice Stops ramping A immediately. Once this function is called, rampA()
     * cannot be called for another 24 hours
     * @param self Swap struct to update
     */
    function stopRampA(Swap storage self) external {
        require(self.futureATime > block.timestamp, "Ramp is already stopped");
        uint256 currentA = _getAPrecise(self);
        self.initialA = currentA;
        self.futureA = currentA;
        self.initialATime = block.timestamp;
        self.futureATime = block.timestamp;
        emit StopRampA(currentA, block.timestamp);
    }
}
// SPDX-License-Identifier: MIT
pragma solidity 0.6.12;
interface IAllowlist {
    function getPoolAccountLimit(address poolAddress)
        external
        view
        returns (uint256);
    function getPoolCap(address poolAddress) external view returns (uint256);
    function verifyAddress(address account, bytes32[] calldata merkleProof)
        external
        returns (bool);
}
// SPDX-License-Identifier: MIT
pragma solidity 0.6.12;
import "@openzeppelin/contracts/token/ERC20/ERC20.sol";
import "./IAllowlist.sol";
interface ISwap {
    // pool data view functions
    function getA() external view returns (uint256);
    function getAllowlist() external view returns (IAllowlist);
    function getToken(uint8 index) external view returns (IERC20);
    function getTokenIndex(address tokenAddress) external view returns (uint8);
    function getTokenBalance(uint8 index) external view returns (uint256);
    function getVirtualPrice() external view returns (uint256);
    function isGuarded() external view returns (bool);
    // min return calculation functions
    function calculateSwap(
        uint8 tokenIndexFrom,
        uint8 tokenIndexTo,
        uint256 dx
    ) external view returns (uint256);
    function calculateTokenAmount(uint256[] calldata amounts, bool deposit)
        external
        view
        returns (uint256);
    function calculateRemoveLiquidity(uint256 amount)
        external
        view
        returns (uint256[] memory);
    function calculateRemoveLiquidityOneToken(
        uint256 tokenAmount,
        uint8 tokenIndex
    ) external view returns (uint256 availableTokenAmount);
    // state modifying functions
    function initialize(
        IERC20[] memory pooledTokens,
        uint8[] memory decimals,
        string memory lpTokenName,
        string memory lpTokenSymbol,
        uint256 a,
        uint256 fee,
        uint256 adminFee,
        uint256 withdrawFee
    ) external;
    function swap(
        uint8 tokenIndexFrom,
        uint8 tokenIndexTo,
        uint256 dx,
        uint256 minDy,
        uint256 deadline
    ) external returns (uint256);
    function addLiquidity(
        uint256[] calldata amounts,
        uint256 minToMint,
        uint256 deadline
    ) external returns (uint256);
    function removeLiquidity(
        uint256 amount,
        uint256[] calldata minAmounts,
        uint256 deadline
    ) external returns (uint256[] memory);
    function removeLiquidityOneToken(
        uint256 tokenAmount,
        uint8 tokenIndex,
        uint256 minAmount,
        uint256 deadline
    ) external returns (uint256);
    function removeLiquidityImbalance(
        uint256[] calldata amounts,
        uint256 maxBurnAmount,
        uint256 deadline
    ) external returns (uint256);
    // withdraw fee update function
    function updateUserWithdrawFee(address recipient, uint256 transferAmount)
        external;
}

// SPDX-License-Identifier: MIT
pragma solidity 0.6.12;
import "@openzeppelin/contracts/math/SafeMath.sol";
/**
 * @title MathUtils library
 * @notice A library to be used in conjunction with SafeMath. Contains functions for calculating
 * differences between two uint256.
 */
library MathUtils {
    /**
     * @notice Compares a and b and returns true if the difference between a and b
     *         is less than 1 or equal to each other.
     * @param a uint256 to compare with
     * @param b uint256 to compare with
     * @return True if the difference between a and b is less than 1 or equal,
     *         otherwise return false
     */
    function within1(uint256 a, uint256 b) external pure returns (bool) {
        return (_difference(a, b) <= 1);
    }
    /**
     * @notice Calculates absolute difference between a and b
     * @param a uint256 to compare with
     * @param b uint256 to compare with
     * @return Difference between a and b
     */
    function difference(uint256 a, uint256 b) external pure returns (uint256) {
        return _difference(a, b);
    }
    /**
     * @notice Calculates absolute difference between a and b
     * @param a uint256 to compare with
     * @param b uint256 to compare with
     * @return Difference between a and b
     */
    function _difference(uint256 a, uint256 b) internal pure returns (uint256) {
        if (a > b) {
            return a - b;
        }
        return b - a;
    }
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
/**
 * @dev Wrappers over Solidity's arithmetic operations with added overflow
 * checks.
 *
 * Arithmetic operations in Solidity wrap on overflow. This can easily result
 * in bugs, because programmers usually assume that an overflow raises an
 * error, which is the standard behavior in high level programming languages.
 * `SafeMath` restores this intuition by reverting the transaction when an
 * operation overflows.
 *
 * Using this library instead of the unchecked operations eliminates an entire
 * class of bugs, so it's recommended to use it always.
 */
library SafeMath {
    /**
     * @dev Returns the addition of two unsigned integers, reverting on
     * overflow.
     *
     * Counterpart to Solidity's `+` operator.
     *
     * Requirements:
     *
     * - Addition cannot overflow.
     */
    function add(uint256 a, uint256 b) internal pure returns (uint256) {
        uint256 c = a + b;
        require(c >= a, "SafeMath: addition overflow");
        return c;
    }
    /**
     * @dev Returns the subtraction of two unsigned integers, reverting on
     * overflow (when the result is negative).
     *
     * Counterpart to Solidity's `-` operator.
     *
     * Requirements:
     *
     * - Subtraction cannot overflow.
     */
    function sub(uint256 a, uint256 b) internal pure returns (uint256) {
        return sub(a, b, "SafeMath: subtraction overflow");
    }
    /**
     * @dev Returns the subtraction of two unsigned integers, reverting with custom message on
     * overflow (when the result is negative).
     *
     * Counterpart to Solidity's `-` operator.
     *
     * Requirements:
     *
     * - Subtraction cannot overflow.
     */
    function sub(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b <= a, errorMessage);
        uint256 c = a - b;
        return c;
    }
    /**
     * @dev Returns the multiplication of two unsigned integers, reverting on
     * overflow.
     *
     * Counterpart to Solidity's `*` operator.
     *
     * Requirements:
     *
     * - Multiplication cannot overflow.
     */
    function mul(uint256 a, uint256 b) internal pure returns (uint256) {
        // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
        // benefit is lost if 'b' is also tested.
        // See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522
        if (a == 0) {
            return 0;
        }
        uint256 c = a * b;
        require(c / a == b, "SafeMath: multiplication overflow");
        return c;
    }
    /**
     * @dev Returns the integer division of two unsigned integers. Reverts on
     * division by zero. The result is rounded towards zero.
     *
     * Counterpart to Solidity's `/` operator. Note: this function uses a
     * `revert` opcode (which leaves remaining gas untouched) while Solidity
     * uses an invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function div(uint256 a, uint256 b) internal pure returns (uint256) {
        return div(a, b, "SafeMath: division by zero");
    }
    /**
     * @dev Returns the integer division of two unsigned integers. Reverts with custom message on
     * division by zero. The result is rounded towards zero.
     *
     * Counterpart to Solidity's `/` operator. Note: this function uses a
     * `revert` opcode (which leaves remaining gas untouched) while Solidity
     * uses an invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function div(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b > 0, errorMessage);
        uint256 c = a / b;
        // assert(a == b * c + a % b); // There is no case in which this doesn't hold
        return c;
    }
    /**
     * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
     * Reverts when dividing by zero.
     *
     * Counterpart to Solidity's `%` operator. This function uses a `revert`
     * opcode (which leaves remaining gas untouched) while Solidity uses an
     * invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function mod(uint256 a, uint256 b) internal pure returns (uint256) {
        return mod(a, b, "SafeMath: modulo by zero");
    }
    /**
     * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
     * Reverts with custom message when dividing by zero.
     *
     * Counterpart to Solidity's `%` operator. This function uses a `revert`
     * opcode (which leaves remaining gas untouched) while Solidity uses an
     * invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function mod(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b != 0, errorMessage);
        return a % b;
    }
}