// SPDX-License-Identifier: MIT
pragma solidity ^0.7.6;
import "@openzeppelin/contracts/access/Ownable.sol";
import "@openzeppelin/contracts/token/ERC20/SafeERC20.sol";
import "./IUmbraHookReceiver.sol";
contract Umbra is Ownable {
  // =========================================== Events ============================================
  /// @notice Emitted when a payment is sent
  event Announcement(
    address indexed receiver, // stealth address
    uint256 amount, // funds
    address indexed token, // token address or ETH placeholder
    bytes32 pkx, // ephemeral public key x coordinate
    bytes32 ciphertext // encrypted entropy and payload extension
  );
  /// @notice Emitted when a token is withdrawn
  event TokenWithdrawal(
    address indexed receiver, // stealth address
    address indexed acceptor, // destination of funds
    uint256 amount, // funds
    address indexed token // token address
  );
  // ======================================= State variables =======================================
  /// @dev Placeholder address used to identify transfer of native ETH
  address internal constant ETH_TOKEN_PLACHOLDER = 0xEeeeeEeeeEeEeeEeEeEeeEEEeeeeEeeeeeeeEEeE;
  /// @notice An ETH amount that must be sent alongside each payment; used as an anti-spam measure
  uint256 public toll;
  /// @notice A privileged address, set by the admin, that can sweep all collected ETH tolls
  address public tollCollector;
  /// @notice The address where ETH funds are sent when collected by the tollCollector
  address payable public tollReceiver;
  /// @notice Token payments pending withdrawal; stealth address => token address => amount
  mapping(address => mapping(address => uint256)) public tokenPayments;
  // ======================================= Setup & Admin ========================================
  /**
   * @param _toll Amount of ETH required per send
   * @param _tollCollector Address that can sweep collected funds
   * @param _tollReceiver Address that receives collected funds
   */
  constructor(
    uint256 _toll,
    address _tollCollector,
    address payable _tollReceiver
  ) {
    toll = _toll;
    tollCollector = _tollCollector;
    tollReceiver = _tollReceiver;
  }
  /**
   * @notice Admin only function to update the toll
   * @param _newToll New ETH toll in wei
   */
  function setToll(uint256 _newToll) external onlyOwner {
    toll = _newToll;
  }
  /**
   * @notice Admin only function to update the toll collector
   * @param _newTollCollector New address which has fund sweeping privileges
   */
  function setTollCollector(address _newTollCollector) external onlyOwner {
    tollCollector = _newTollCollector;
  }
  /**
   * @notice Admin only function to update the toll receiver
   * @param _newTollReceiver New address which receives collected funds
   */
  function setTollReceiver(address payable _newTollReceiver) external onlyOwner {
    tollReceiver = _newTollReceiver;
  }
  /**
   * @notice Function only the toll collector can call to sweep funds to the toll receiver
   */
  function collectTolls() external {
    require(msg.sender == tollCollector, "Umbra: Not toll collector");
    tollReceiver.transfer(address(this).balance);
  }
  // ======================================= Send =================================================
  /**
   * @notice Send and announce ETH payment to a stealth address
   * @param _receiver Stealth address receiving the payment
   * @param _tollCommitment Exact toll the sender is paying; should equal contract toll;
   * the committment is used to prevent frontrunning attacks by the owner;
   * see https://github.com/ScopeLift/umbra-protocol/issues/54 for more information
   * @param _pkx X-coordinate of the ephemeral public key used to encrypt the payload
   * @param _ciphertext Encrypted entropy (used to generated the stealth address) and payload extension
   */
  function sendEth(
    address payable _receiver,
    uint256 _tollCommitment,
    bytes32 _pkx, // ephemeral public key x coordinate
    bytes32 _ciphertext
  ) external payable {
    require(_tollCommitment == toll, "Umbra: Invalid or outdated toll commitment");
    // also protects from underflow
    require(msg.value > toll, "Umbra: Must pay more than the toll");
    uint256 amount = msg.value - toll;
    emit Announcement(_receiver, amount, ETH_TOKEN_PLACHOLDER, _pkx, _ciphertext);
    _receiver.transfer(amount);
  }
  /**
   * @notice Send and announce an ERC20 payment to a stealth address
   * @param _receiver Stealth address receiving the payment
   * @param _tokenAddr Address of the ERC20 token being sent
   * @param _amount Amount of the token to send, in its own base units
   * @param _pkx X-coordinate of the ephemeral public key used to encrypt the payload
   * @param _ciphertext Encrypted entropy (used to generated the stealth address) and payload extension
   */
  function sendToken(
    address _receiver,
    address _tokenAddr,
    uint256 _amount,
    bytes32 _pkx, // ephemeral public key x coordinate
    bytes32 _ciphertext
  ) external payable {
    require(msg.value == toll, "Umbra: Must pay the exact toll");
    require(tokenPayments[_receiver][_tokenAddr] == 0, "Umbra: Cannot send more tokens to stealth address");
    tokenPayments[_receiver][_tokenAddr] = _amount;
    emit Announcement(_receiver, _amount, _tokenAddr, _pkx, _ciphertext);
    SafeERC20.safeTransferFrom(IERC20(_tokenAddr), msg.sender, address(this), _amount);
  }
  // ======================================= Withdraw =============================================
  /**
   * @notice Withdraw an ERC20 token payment sent to a stealth address
   * @dev This method must be directly called by the stealth address
   * @param _acceptor Address where withdrawn funds should be sent
   * @param _tokenAddr Address of the ERC20 token being withdrawn
   */
  function withdrawToken(address _acceptor, address _tokenAddr) external {
    _withdrawTokenInternal(msg.sender, _acceptor, _tokenAddr, address(0), 0, IUmbraHookReceiver(0), "");
  }
  /**
   * @notice Withdraw an ERC20 token payment sent to a stealth address
   * @dev This method must be directly called by the stealth address
   * @param _acceptor Address where withdrawn funds should be sent
   * @param _tokenAddr Address of the ERC20 token being withdrawn
   * @param _hook Contract that will be called after the token withdrawal has completed
   * @param _data Arbitrary data that will be passed to the post-withdraw hook contract
   */
  function withdrawTokenAndCall(
    address _acceptor,
    address _tokenAddr,
    IUmbraHookReceiver _hook,
    bytes memory _data
  ) external {
    _withdrawTokenInternal(msg.sender, _acceptor, _tokenAddr, address(0), 0, _hook, _data);
  }
  /**
   * @notice Withdraw an ERC20 token payment on behalf of a stealth address via signed authorization
   * @param _stealthAddr The stealth address whose token balance will be withdrawn
   * @param _acceptor Address where withdrawn funds should be sent
   * @param _tokenAddr Address of the ERC20 token being withdrawn
   * @param _sponsor Address which is compensated for submitting the withdrawal tx
   * @param _sponsorFee Amount of the token to pay to the sponsor
   * @param _v ECDSA signature component: Parity of the `y` coordinate of point `R`
   * @param _r ECDSA signature component: x-coordinate of `R`
   * @param _s ECDSA signature component: `s` value of the signature
   */
  function withdrawTokenOnBehalf(
    address _stealthAddr,
    address _acceptor,
    address _tokenAddr,
    address _sponsor,
    uint256 _sponsorFee,
    uint8 _v,
    bytes32 _r,
    bytes32 _s
  ) external {
    _validateWithdrawSignature(
      _stealthAddr,
      _acceptor,
      _tokenAddr,
      _sponsor,
      _sponsorFee,
      IUmbraHookReceiver(0),
      "",
      _v,
      _r,
      _s
    );
    _withdrawTokenInternal(_stealthAddr, _acceptor, _tokenAddr, _sponsor, _sponsorFee, IUmbraHookReceiver(0), "");
  }
  /**
   * @notice Withdraw an ERC20 token payment on behalf of a stealth address via signed authorization
   * @param _stealthAddr The stealth address whose token balance will be withdrawn
   * @param _acceptor Address where withdrawn funds should be sent
   * @param _tokenAddr Address of the ERC20 token being withdrawn
   * @param _sponsor Address which is compensated for submitting the withdrawal tx
   * @param _sponsorFee Amount of the token to pay to the sponsor
   * @param _hook Contract that will be called after the token withdrawal has completed
   * @param _data Arbitrary data that will be passed to the post-withdraw hook contract
   * @param _v ECDSA signature component: Parity of the `y` coordinate of point `R`
   * @param _r ECDSA signature component: x-coordinate of `R`
   * @param _s ECDSA signature component: `s` value of the signature
   */
  function withdrawTokenAndCallOnBehalf(
    address _stealthAddr,
    address _acceptor,
    address _tokenAddr,
    address _sponsor,
    uint256 _sponsorFee,
    IUmbraHookReceiver _hook,
    bytes memory _data,
    uint8 _v,
    bytes32 _r,
    bytes32 _s
  ) external {
    _validateWithdrawSignature(_stealthAddr, _acceptor, _tokenAddr, _sponsor, _sponsorFee, _hook, _data, _v, _r, _s);
    _withdrawTokenInternal(_stealthAddr, _acceptor, _tokenAddr, _sponsor, _sponsorFee, _hook, _data);
  }
  /**
   * @notice Low level withdrawal function that should only be called after safety checks
   * @param _stealthAddr The stealth address whose token balance will be withdrawn
   * @param _acceptor Address where withdrawn funds should be sent
   * @param _tokenAddr Address of the ERC20 token being withdrawn
   * @param _sponsor Address which is compensated for submitting the withdrawal tx
   * @param _sponsorFee Amount of the token to pay to the sponsor
   * @param _hook Contract that will be called after the token withdrawal has completed
   * @param _data Arbitrary data that will be passed to the post-withdraw hook contract
   */
  function _withdrawTokenInternal(
    address _stealthAddr,
    address _acceptor,
    address _tokenAddr,
    address _sponsor,
    uint256 _sponsorFee,
    IUmbraHookReceiver _hook,
    bytes memory _data
  ) internal {
    uint256 _amount = tokenPayments[_stealthAddr][_tokenAddr];
    // also protects from underflow
    require(_amount > _sponsorFee, "Umbra: No balance to withdraw or fee exceeds balance");
    uint256 _withdrawalAmount = _amount - _sponsorFee;
    delete tokenPayments[_stealthAddr][_tokenAddr];
    emit TokenWithdrawal(_stealthAddr, _acceptor, _withdrawalAmount, _tokenAddr);
    SafeERC20.safeTransfer(IERC20(_tokenAddr), _acceptor, _withdrawalAmount);
    if (_sponsorFee > 0) {
      SafeERC20.safeTransfer(IERC20(_tokenAddr), _sponsor, _sponsorFee);
    }
    if (address(_hook) != address(0)) {
      _hook.tokensWithdrawn(_withdrawalAmount, _stealthAddr, _acceptor, _tokenAddr, _sponsor, _sponsorFee, _data);
    }
  }
  /**
   * @notice Internal method which recovers address from signature of the parameters and throws if not _stealthAddr
   * @param _stealthAddr The stealth address whose token balance will be withdrawn
   * @param _acceptor Address where withdrawn funds should be sent
   * @param _tokenAddr Address of the ERC20 token being withdrawn
   * @param _sponsor Address which is compensated for submitting the withdrawal tx
   * @param _sponsorFee Amount of the token to pay to the sponsor
   * @param _hook Contract that will be called after the token withdrawal has completed
   * @param _data Arbitrary data that will be passed to the post-withdraw hook contract
   * @param _v ECDSA signature component: Parity of the `y` coordinate of point `R`
   * @param _r ECDSA signature component: x-coordinate of `R`
   * @param _s ECDSA signature component: `s` value of the signature
   */
  function _validateWithdrawSignature(
    address _stealthAddr,
    address _acceptor,
    address _tokenAddr,
    address _sponsor,
    uint256 _sponsorFee,
    IUmbraHookReceiver _hook,
    bytes memory _data,
    uint8 _v,
    bytes32 _r,
    bytes32 _s
  ) internal view {
    uint256 _chainId;
    assembly {
      _chainId := chainid()
    }
    bytes32 _digest =
      keccak256(
        abi.encodePacked(
          "\\x19Ethereum Signed Message:\
32",
          keccak256(
            abi.encode(_chainId, address(this), _acceptor, _tokenAddr, _sponsor, _sponsorFee, address(_hook), _data)
          )
        )
      );
    address _recoveredAddress = ecrecover(_digest, _v, _r, _s);
    require(_recoveredAddress != address(0) && _recoveredAddress == _stealthAddr, "Umbra: Invalid Signature");
  }
}
// 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;
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 ^0.7.6;
/// @dev Interface that post-withdraw hooks must implement to interop with Umbra
interface IUmbraHookReceiver {
  /**
   * @notice Method called after a user completes an Umbra token withdrawal
   * @param _amount The amount of the token withdrawn _after_ subtracting the sponsor fee
   * @param _stealthAddr The stealth address whose token balance was withdrawn
   * @param _acceptor Address where withdrawn funds were sent; can be this contract
   * @param _tokenAddr Address of the ERC20 token that was withdrawn
   * @param _sponsor Address which was compensated for submitting the withdrawal tx
   * @param _sponsorFee Amount of the token that was paid to the sponsor
   * @param _data Arbitrary data passed to this hook by the withdrawer
   */
  function tokensWithdrawn(
    uint256 _amount,
    address _stealthAddr,
    address _acceptor,
    address _tokenAddr,
    address _sponsor,
    uint256 _sponsorFee,
    bytes memory _data
  ) 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;
/**
 * @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;
/**
 * @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 >=0.6.2 <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);
            }
        }
    }
}