// File: contracts/bridge/L1Helper.sol



// SPDX-License-Identifier: MIT
// https://tornado.cash
/*
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 *    dP    `88888P' dP       dP    dP `88888P8 `88888P8 `88888P' 88  Y88888P' `88888P8 `88888P' dP    dP
 * ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
 */

pragma solidity ^0.7.0;
pragma abicoder v2;

import "omnibridge/contracts/helpers/WETHOmnibridgeRouter.sol";

/// @dev Extension for original WETHOmnibridgeRouter that stores TornadoPool account registrations.
contract L1Helper is WETHOmnibridgeRouter {
  event PublicKey(address indexed owner, bytes key);

  struct Account {
    address owner;
    bytes publicKey;
  }

  constructor(
    IOmnibridge _bridge,
    IWETH _weth,
    address _owner
  ) WETHOmnibridgeRouter(_bridge, _weth, _owner) {}

  /** @dev Registers provided public key and its owner in pool
   * @param _account pair of address and key
   */
  function register(Account memory _account) public {
    require(_account.owner == msg.sender, "only owner can be registered");
    _register(_account);
  }

  /**
   * @dev Wraps native assets and relays wrapped ERC20 tokens to the other chain.
   * It also calls receiver on other side with the _data provided.
   * @param _receiver bridged assets receiver on the other side of the bridge.
   * @param _data data for the call of receiver on other side.
   * @param _account tornadoPool account data
   */
  function wrapAndRelayTokens(
    address _receiver,
    bytes memory _data,
    Account memory _account
  ) public payable {
    WETH.deposit{ value: msg.value }();
    bridge.relayTokensAndCall(address(WETH), _receiver, msg.value, _data);

    if (_account.owner == msg.sender) {
      _register(_account);
    }
  }

  function _register(Account memory _account) internal {
    emit PublicKey(_account.owner, _account.publicKey);
  }
}

// File: omnibridge/contracts/helpers/WETHOmnibridgeRouter.sol



pragma solidity 0.7.5;

import "../interfaces/IOmnibridge.sol";
import "../interfaces/IWETH.sol";
import "../libraries/AddressHelper.sol";
import "../libraries/Bytes.sol";
import "../upgradeable_contracts/modules/OwnableModule.sol";
import "../upgradeable_contracts/Claimable.sol";

/**
 * @title WETHOmnibridgeRouter
 * @dev Omnibridge extension for processing native and wrapped native assets.
 * Intended to work with WETH/WBNB/WXDAI tokens, see:
 *   https://etherscan.io/address/0xc02aaa39b223fe8d0a0e5c4f27ead9083c756cc2
 *   https://bscscan.com/address/0xbb4CdB9CBd36B01bD1cBaEBF2De08d9173bc095c
 *   https://blockscout.com/poa/xdai/address/0xe91D153E0b41518A2Ce8Dd3D7944Fa863463a97d
 */
contract WETHOmnibridgeRouter is OwnableModule, Claimable {
    IOmnibridge public immutable bridge;
    IWETH public immutable WETH;

    /**
     * @dev Initializes this contract.
     * @param _bridge address of the HomeOmnibridge/ForeignOmnibridge contract.
     * @param _weth address of the WETH token used for wrapping/unwrapping native coins (e.g. WETH/WBNB/WXDAI).
     * @param _owner address of the contract owner.
     */
    constructor(
        IOmnibridge _bridge,
        IWETH _weth,
        address _owner
    ) OwnableModule(_owner) {
        bridge = _bridge;
        WETH = _weth;
        _weth.approve(address(_bridge), uint256(-1));
    }

    /**
     * @dev Wraps native assets and relays wrapped ERC20 tokens to the other chain.
     * Call msg.sender will receive assets on the other side of the bridge.
     */
    function wrapAndRelayTokens() external payable {
        wrapAndRelayTokens(msg.sender);
    }

    /**
     * @dev Wraps native assets and relays wrapped ERC20 tokens to the other chain.
     * @param _receiver bridged assets receiver on the other side of the bridge.
     */
    function wrapAndRelayTokens(address _receiver) public payable {
        WETH.deposit{ value: msg.value }();
        bridge.relayTokens(address(WETH), _receiver, msg.value);
    }

    /**
     * @dev Wraps native assets and relays wrapped ERC20 tokens to the other chain.
     * It also calls receiver on other side with the _data provided.
     * @param _receiver bridged assets receiver on the other side of the bridge.
     * @param _data data for the call of receiver on other side.
     */
    function wrapAndRelayTokens(address _receiver, bytes memory _data) public payable {
        WETH.deposit{ value: msg.value }();
        bridge.relayTokensAndCall(address(WETH), _receiver, msg.value, _data);
    }

    /**
     * @dev Bridged callback function used for unwrapping received tokens.
     * Can only be called by the associated Omnibridge contract.
     * @param _token bridged token contract address, should be WETH.
     * @param _value amount of bridged/received tokens.
     * @param _data extra data passed alongside with relayTokensAndCall on the other side of the bridge.
     * Should contain coins receiver address.
     */
    function onTokenBridged(
        address _token,
        uint256 _value,
        bytes memory _data
    ) external {
        require(_token == address(WETH));
        require(msg.sender == address(bridge));
        require(_data.length == 20);

        WETH.withdraw(_value);

        AddressHelper.safeSendValue(payable(Bytes.bytesToAddress(_data)), _value);
    }

    /**
     * @dev Claims stuck coins/tokens.
     * Only contract owner can call this method.
     * @param _token address of claimed token contract, address(0) for native coins.
     * @param _to address of tokens receiver
     */
    function claimTokens(address _token, address _to) external onlyOwner {
        claimValues(_token, _to);
    }

    /**
     * @dev Ether receive function.
     * Should be only called from the WETH contract when withdrawing native coins. Will revert otherwise.
     */
    receive() external payable {
        require(msg.sender == address(WETH));
    }
}

// File: omnibridge/contracts/interfaces/IOmnibridge.sol



pragma solidity 0.7.5;

interface IOmnibridge {
    function relayTokens(
        address _token,
        address _receiver,
        uint256 _value
    ) external;

    function relayTokensAndCall(
        address token,
        address _receiver,
        uint256 _value,
        bytes memory _data
    ) external;
}

// File: omnibridge/contracts/interfaces/IWETH.sol



pragma solidity 0.7.5;

interface IWETH {
    function deposit() external payable;

    function withdraw(uint256 _value) external;

    function approve(address _to, uint256 _value) external;
}

// File: omnibridge/contracts/libraries/AddressHelper.sol



pragma solidity 0.7.5;

import "../upgradeable_contracts/Sacrifice.sol";

/**
 * @title AddressHelper
 * @dev Helper methods for Address type.
 */
library AddressHelper {
    /**
     * @dev Try to send native tokens to the address. If it fails, it will force the transfer by creating a selfdestruct contract
     * @param _receiver address that will receive the native tokens
     * @param _value the amount of native tokens to send
     */
    function safeSendValue(address payable _receiver, uint256 _value) internal {
        if (!(_receiver).send(_value)) {
            new Sacrifice{ value: _value }(_receiver);
        }
    }
}

// File: omnibridge/contracts/libraries/Bytes.sol



pragma solidity 0.7.5;

/**
 * @title Bytes
 * @dev Helper methods to transform bytes to other solidity types.
 */
library Bytes {
    /**
     * @dev Truncate bytes array if its size is more than 20 bytes.
     * NOTE: This function does not perform any checks on the received parameter.
     * Make sure that the _bytes argument has a correct length, not less than 20 bytes.
     * A case when _bytes has length less than 20 will lead to the undefined behaviour,
     * since assembly will read data from memory that is not related to the _bytes argument.
     * @param _bytes to be converted to address type
     * @return addr address included in the firsts 20 bytes of the bytes array in parameter.
     */
    function bytesToAddress(bytes memory _bytes) internal pure returns (address addr) {
        assembly {
            addr := mload(add(_bytes, 20))
        }
    }
}

// File: omnibridge/contracts/upgradeable_contracts/modules/OwnableModule.sol



pragma solidity 0.7.5;

import "@openzeppelin/contracts/utils/Address.sol";

/**
 * @title OwnableModule
 * @dev Common functionality for multi-token extension non-upgradeable module.
 */
contract OwnableModule {
    address public owner;

    /**
     * @dev Initializes this contract.
     * @param _owner address of the owner that is allowed to perform additional actions on the particular module.
     */
    constructor(address _owner) {
        owner = _owner;
    }

    /**
     * @dev Throws if sender is not the owner of this contract.
     */
    modifier onlyOwner {
        require(msg.sender == owner);
        _;
    }

    /**
     * @dev Changes the owner of this contract.
     * @param _newOwner address of the new owner.
     */
    function transferOwnership(address _newOwner) external onlyOwner {
        owner = _newOwner;
    }
}

// File: omnibridge/contracts/upgradeable_contracts/Claimable.sol



pragma solidity 0.7.5;

import "@openzeppelin/contracts/token/ERC20/SafeERC20.sol";
import "../libraries/AddressHelper.sol";

/**
 * @title Claimable
 * @dev Implementation of the claiming utils that can be useful for withdrawing accidentally sent tokens that are not used in bridge operations.
 */
contract Claimable {
    using SafeERC20 for IERC20;

    /**
     * Throws if a given address is equal to address(0)
     */
    modifier validAddress(address _to) {
        require(_to != address(0));
        _;
    }

    /**
     * @dev Withdraws the erc20 tokens or native coins from this contract.
     * Caller should additionally check that the claimed token is not a part of bridge operations (i.e. that token != erc20token()).
     * @param _token address of the claimed token or address(0) for native coins.
     * @param _to address of the tokens/coins receiver.
     */
    function claimValues(address _token, address _to) internal validAddress(_to) {
        if (_token == address(0)) {
            claimNativeCoins(_to);
        } else {
            claimErc20Tokens(_token, _to);
        }
    }

    /**
     * @dev Internal function for withdrawing all native coins from the contract.
     * @param _to address of the coins receiver.
     */
    function claimNativeCoins(address _to) internal {
        uint256 value = address(this).balance;
        AddressHelper.safeSendValue(payable(_to), value);
    }

    /**
     * @dev Internal function for withdrawing all tokens of some particular ERC20 contract from this contract.
     * @param _token address of the claimed ERC20 token.
     * @param _to address of the tokens receiver.
     */
    function claimErc20Tokens(address _token, address _to) internal {
        IERC20 token = IERC20(_token);
        uint256 balance = token.balanceOf(address(this));
        token.safeTransfer(_to, balance);
    }
}

// File: omnibridge/contracts/upgradeable_contracts/Sacrifice.sol



pragma solidity 0.7.5;

contract Sacrifice {
    constructor(address payable _recipient) payable {
        selfdestruct(_recipient);
    }
}

// File: @openzeppelin/contracts/utils/Address.sol



// SPDX-License-Identifier: MIT

pragma solidity ^0.7.0;

/**
 * @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);
            }
        }
    }
}

// File: @openzeppelin/contracts/token/ERC20/SafeERC20.sol



// SPDX-License-Identifier: MIT

pragma solidity ^0.7.0;

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");
        }
    }
}

// File: @openzeppelin/contracts/token/ERC20/IERC20.sol



// SPDX-License-Identifier: MIT

pragma solidity ^0.7.0;

/**
 * @dev Interface of the ERC20 standard as defined in the EIP.
 */
interface IERC20 {
    /**
     * @dev Returns the amount of tokens in existence.
     */
    function totalSupply() external view returns (uint256);

    /**
     * @dev Returns the amount of tokens owned by `account`.
     */
    function balanceOf(address account) external view returns (uint256);

    /**
     * @dev Moves `amount` tokens from the caller's account to `recipient`.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * Emits a {Transfer} event.
     */
    function transfer(address recipient, uint256 amount) external returns (bool);

    /**
     * @dev Returns the remaining number of tokens that `spender` will be
     * allowed to spend on behalf of `owner` through {transferFrom}. This is
     * zero by default.
     *
     * This value changes when {approve} or {transferFrom} are called.
     */
    function allowance(address owner, address spender) external view returns (uint256);

    /**
     * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * IMPORTANT: Beware that changing an allowance with this method brings the risk
     * that someone may use both the old and the new allowance by unfortunate
     * transaction ordering. One possible solution to mitigate this race
     * condition is to first reduce the spender's allowance to 0 and set the
     * desired value afterwards:
     * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
     *
     * Emits an {Approval} event.
     */
    function approve(address spender, uint256 amount) external returns (bool);

    /**
     * @dev Moves `amount` tokens from `sender` to `recipient` using the
     * allowance mechanism. `amount` is then deducted from the caller's
     * allowance.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * Emits a {Transfer} event.
     */
    function transferFrom(address sender, address recipient, uint256 amount) external returns (bool);

    /**
     * @dev Emitted when `value` tokens are moved from one account (`from`) to
     * another (`to`).
     *
     * Note that `value` may be zero.
     */
    event Transfer(address indexed from, address indexed to, uint256 value);

    /**
     * @dev Emitted when the allowance of a `spender` for an `owner` is set by
     * a call to {approve}. `value` is the new allowance.
     */
    event Approval(address indexed owner, address indexed spender, uint256 value);
}

// File: @openzeppelin/contracts/math/SafeMath.sol



// SPDX-License-Identifier: MIT

pragma solidity ^0.7.0;

/**
 * @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;
    }
}