// SPDX-License-Identifier: AGPL-3.0-or-later

// File: libraries/SafeMath.sol


pragma solidity ^0.7.5;


// TODO(zx): Replace all instances of SafeMath with OZ implementation
library SafeMath {

    function add(uint256 a, uint256 b) internal pure returns (uint256) {
        uint256 c = a + b;
        require(c >= a, "SafeMath: addition overflow");

        return c;
    }

    function sub(uint256 a, uint256 b) internal pure returns (uint256) {
        return sub(a, b, "SafeMath: subtraction overflow");
    }

    function sub(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b <= a, errorMessage);
        uint256 c = a - b;

        return c;
    }

    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;
    }

    function div(uint256 a, uint256 b) internal pure returns (uint256) {
        return div(a, b, "SafeMath: division by 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;
    }

    // Only used in the  BondingCalculator.sol
    function sqrrt(uint256 a) internal pure returns (uint c) {
        if (a > 3) {
            c = a;
            uint b = add( div( a, 2), 1 );
            while (b < c) {
                c = b;
                b = div( add( div( a, b ), b), 2 );
            }
        } else if (a != 0) {
            c = 1;
        }
    }

}
// File: interfaces/IOlympusAuthority.sol


pragma solidity =0.7.5;

interface IOlympusAuthority {
    /* ========== EVENTS ========== */
    
    event GovernorPushed(address indexed from, address indexed to, bool _effectiveImmediately);
    event GuardianPushed(address indexed from, address indexed to, bool _effectiveImmediately);    
    event PolicyPushed(address indexed from, address indexed to, bool _effectiveImmediately);    
    event VaultPushed(address indexed from, address indexed to, bool _effectiveImmediately);    

    event GovernorPulled(address indexed from, address indexed to);
    event GuardianPulled(address indexed from, address indexed to);
    event PolicyPulled(address indexed from, address indexed to);
    event VaultPulled(address indexed from, address indexed to);

    /* ========== VIEW ========== */
    
    function governor() external view returns (address);
    function guardian() external view returns (address);
    function policy() external view returns (address);
    function vault() external view returns (address);
}
// File: types/OlympusAccessControlled.sol


pragma solidity >=0.7.5;


abstract contract OlympusAccessControlled {

    /* ========== EVENTS ========== */

    event AuthorityUpdated(IOlympusAuthority indexed authority);

    string UNAUTHORIZED = "UNAUTHORIZED"; // save gas

    /* ========== STATE VARIABLES ========== */

    IOlympusAuthority public authority;


    /* ========== Constructor ========== */

    constructor(IOlympusAuthority _authority) {
        authority = _authority;
        emit AuthorityUpdated(_authority);
    }
    

    /* ========== MODIFIERS ========== */
    
    modifier onlyGovernor() {
        require(msg.sender == authority.governor(), UNAUTHORIZED);
        _;
    }
    
    modifier onlyGuardian() {
        require(msg.sender == authority.guardian(), UNAUTHORIZED);
        _;
    }
    
    modifier onlyPolicy() {
        require(msg.sender == authority.policy(), UNAUTHORIZED);
        _;
    }

    modifier onlyVault() {
        require(msg.sender == authority.vault(), UNAUTHORIZED);
        _;
    }
    
    /* ========== GOV ONLY ========== */
    
    function setAuthority(IOlympusAuthority _newAuthority) external onlyGovernor {
        authority = _newAuthority;
        emit AuthorityUpdated(_newAuthority);
    }
}

// File: interfaces/ITreasuryV1.sol


pragma solidity >=0.7.5;

interface ITreasuryV1 {
    function withdraw(uint256 amount, address token) external;
    function manage(address token, uint256 amount) external;
    function valueOf(address token, uint256 amount) external view returns (uint256);
    function excessReserves() external view returns (uint256);
}
// File: interfaces/IStakingV1.sol


pragma solidity >=0.7.5;

interface IStakingV1 {
    function unstake(uint256 _amount, bool _trigger) external;

    function index() external view returns (uint256);
}
// File: interfaces/IUniswapV2Router.sol


pragma solidity >=0.7.5;

interface IUniswapV2Router {
    function swapExactTokensForTokens(
        uint amountIn,
        uint amountOutMin,
        address[] calldata path,
        address to,
        uint deadline
    ) external returns (uint[] memory amounts);

    function addLiquidity(
        address tokenA, address tokenB, uint amountADesired, uint amountBDesired, uint amountAMin, uint amountBMin, address to, uint deadline
        ) external returns (uint amountA, uint amountB, uint liquidity);
        
    function removeLiquidity(
        address tokenA, address tokenB, uint liquidity, uint amountAMin, uint amountBMin, address to, uint deadline
        ) external returns (uint amountA, uint amountB);
}
// File: interfaces/IOwnable.sol


pragma solidity >=0.7.5;


interface IOwnable {
  function owner() external view returns (address);

  function renounceManagement() external;
  
  function pushManagement( address newOwner_ ) external;
  
  function pullManagement() external;
}
// File: interfaces/IStaking.sol


pragma solidity >=0.7.5;

interface IStaking {
    function stake(
        address _to,
        uint256 _amount,
        bool _rebasing,
        bool _claim
    ) external returns (uint256);

    function claim(address _recipient, bool _rebasing) external returns (uint256);

    function forfeit() external returns (uint256);

    function toggleLock() external;

    function unstake(
        address _to,
        uint256 _amount,
        bool _trigger,
        bool _rebasing
    ) external returns (uint256);

    function wrap(address _to, uint256 _amount) external returns (uint256 gBalance_);

    function unwrap(address _to, uint256 _amount) external returns (uint256 sBalance_);

    function rebase() external;

    function index() external view returns (uint256);

    function contractBalance() external view returns (uint256);

    function totalStaked() external view returns (uint256);

    function supplyInWarmup() external view returns (uint256);
}

// File: interfaces/ITreasury.sol


pragma solidity >=0.7.5;

interface ITreasury {
    function deposit(
        uint256 _amount,
        address _token,
        uint256 _profit
    ) external returns (uint256);

    function withdraw(uint256 _amount, address _token) external;

    function tokenValue(address _token, uint256 _amount) external view returns (uint256 value_);

    function mint(address _recipient, uint256 _amount) external;

    function manage(address _token, uint256 _amount) external;

    function incurDebt(uint256 amount_, address token_) external;

    function repayDebtWithReserve(uint256 amount_, address token_) external;

    function excessReserves() external view returns (uint256);
}

// File: interfaces/IERC20.sol


pragma solidity >=0.7.5;

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: libraries/SafeERC20.sol


pragma solidity >=0.7.5;


/// @notice Safe IERC20 and ETH transfer library that safely handles missing return values.
/// @author Modified from Uniswap (https://github.com/Uniswap/uniswap-v3-periphery/blob/main/contracts/libraries/TransferHelper.sol)
/// Taken from Solmate
library SafeERC20 {
    function safeTransferFrom(
        IERC20 token,
        address from,
        address to,
        uint256 amount
    ) internal {
        (bool success, bytes memory data) = address(token).call(
            abi.encodeWithSelector(IERC20.transferFrom.selector, from, to, amount)
        );

        require(success && (data.length == 0 || abi.decode(data, (bool))), "TRANSFER_FROM_FAILED");
    }

    function safeTransfer(
        IERC20 token,
        address to,
        uint256 amount
    ) internal {
        (bool success, bytes memory data) = address(token).call(
            abi.encodeWithSelector(IERC20.transfer.selector, to, amount)
        );

        require(success && (data.length == 0 || abi.decode(data, (bool))), "TRANSFER_FAILED");
    }

    function safeApprove(
        IERC20 token,
        address to,
        uint256 amount
    ) internal {
        (bool success, bytes memory data) = address(token).call(
            abi.encodeWithSelector(IERC20.approve.selector, to, amount)
        );

        require(success && (data.length == 0 || abi.decode(data, (bool))), "APPROVE_FAILED");
    }

    function safeTransferETH(address to, uint256 amount) internal {
        (bool success, ) = to.call{value: amount}(new bytes(0));

        require(success, "ETH_TRANSFER_FAILED");
    }
}
// File: interfaces/IgOHM.sol


pragma solidity >=0.7.5;


interface IgOHM is IERC20 {
  function mint(address _to, uint256 _amount) external;

  function burn(address _from, uint256 _amount) external;

  function index() external view returns (uint256);

  function balanceFrom(uint256 _amount) external view returns (uint256);

  function balanceTo(uint256 _amount) external view returns (uint256);

  function migrate( address _staking, address _sOHM ) external;
}

// File: interfaces/IwsOHM.sol


pragma solidity >=0.7.5;


// Old wsOHM interface
interface IwsOHM is IERC20 {
  function wrap(uint256 _amount) external returns (uint256);

  function unwrap(uint256 _amount) external returns (uint256);

  function wOHMTosOHM(uint256 _amount) external view returns (uint256);

  function sOHMTowOHM(uint256 _amount) external view returns (uint256);
}

// File: interfaces/IsOHM.sol


pragma solidity >=0.7.5;


interface IsOHM is IERC20 {
    function rebase( uint256 ohmProfit_, uint epoch_) external returns (uint256);

    function circulatingSupply() external view returns (uint256);

    function gonsForBalance( uint amount ) external view returns ( uint );

    function balanceForGons( uint gons ) external view returns ( uint );

    function index() external view returns ( uint );

    function toG(uint amount) external view returns (uint);

    function fromG(uint amount) external view returns (uint);

     function changeDebt(
        uint256 amount,
        address debtor,
        bool add
    ) external;

    function debtBalances(address _address) external view returns (uint256);
}

// File: gOHM.sol


pragma solidity 0.7.5;















contract OlympusTokenMigrator is OlympusAccessControlled {
    using SafeMath for uint256;
    using SafeERC20 for IERC20;
    using SafeERC20 for IgOHM;
    using SafeERC20 for IsOHM;
    using SafeERC20 for IwsOHM;

    /* ========== MIGRATION ========== */

    event TimelockStarted(uint256 block, uint256 end);
    event Migrated(address staking, address treasury);
    event Funded(uint256 amount);
    event Defunded(uint256 amount);

    /* ========== STATE VARIABLES ========== */

    IERC20 public immutable oldOHM;
    IsOHM public immutable oldsOHM;
    IwsOHM public immutable oldwsOHM;
    ITreasuryV1 public immutable oldTreasury;
    IStakingV1 public immutable oldStaking;

    IUniswapV2Router public immutable sushiRouter;
    IUniswapV2Router public immutable uniRouter;

    IgOHM public gOHM;
    ITreasury public newTreasury;
    IStaking public newStaking;
    IERC20 public newOHM;

    bool public ohmMigrated;
    bool public shutdown;

    uint256 public immutable timelockLength;
    uint256 public timelockEnd;

    uint256 public oldSupply;

    constructor(
        address _oldOHM,
        address _oldsOHM,
        address _oldTreasury,
        address _oldStaking,
        address _oldwsOHM,
        address _sushi,
        address _uni,
        uint256 _timelock,
        address _authority
    ) OlympusAccessControlled(IOlympusAuthority(_authority)) {
        require(_oldOHM != address(0), "Zero address: OHM");
        oldOHM = IERC20(_oldOHM);
        require(_oldsOHM != address(0), "Zero address: sOHM");
        oldsOHM = IsOHM(_oldsOHM);
        require(_oldTreasury != address(0), "Zero address: Treasury");
        oldTreasury = ITreasuryV1(_oldTreasury);
        require(_oldStaking != address(0), "Zero address: Staking");
        oldStaking = IStakingV1(_oldStaking);
        require(_oldwsOHM != address(0), "Zero address: wsOHM");
        oldwsOHM = IwsOHM(_oldwsOHM);
        require(_sushi != address(0), "Zero address: Sushi");
        sushiRouter = IUniswapV2Router(_sushi);
        require(_uni != address(0), "Zero address: Uni");
        uniRouter = IUniswapV2Router(_uni);
        timelockLength = _timelock;
    }

    /* ========== MIGRATION ========== */

    enum TYPE {
        UNSTAKED,
        STAKED,
        WRAPPED
    }

    // migrate OHMv1, sOHMv1, or wsOHM for OHMv2, sOHMv2, or gOHM
    function migrate(
        uint256 _amount,
        TYPE _from,
        TYPE _to
    ) external {
        require(!shutdown, "Shut down");

        uint256 wAmount = oldwsOHM.sOHMTowOHM(_amount);

        if (_from == TYPE.UNSTAKED) {
            require(ohmMigrated, "Only staked until migration");
            oldOHM.safeTransferFrom(msg.sender, address(this), _amount);
        } else if (_from == TYPE.STAKED) {
            oldsOHM.safeTransferFrom(msg.sender, address(this), _amount);
        } else {
            oldwsOHM.safeTransferFrom(msg.sender, address(this), _amount);
            wAmount = _amount;
        }

        if (ohmMigrated) {
            require(oldSupply >= oldOHM.totalSupply(), "OHMv1 minted");
            _send(wAmount, _to);
        } else {
            gOHM.mint(msg.sender, wAmount);
        }
    }

    // migrate all olympus tokens held
    function migrateAll(TYPE _to) external {
        require(!shutdown, "Shut down");

        uint256 ohmBal = 0;
        uint256 sOHMBal = oldsOHM.balanceOf(msg.sender);
        uint256 wsOHMBal = oldwsOHM.balanceOf(msg.sender);

        if (oldOHM.balanceOf(msg.sender) > 0 && ohmMigrated) {
            ohmBal = oldOHM.balanceOf(msg.sender);
            oldOHM.safeTransferFrom(msg.sender, address(this), ohmBal);
        }
        if (sOHMBal > 0) {
            oldsOHM.safeTransferFrom(msg.sender, address(this), sOHMBal);
        }
        if (wsOHMBal > 0) {
            oldwsOHM.safeTransferFrom(msg.sender, address(this), wsOHMBal);
        }

        uint256 wAmount = wsOHMBal.add(oldwsOHM.sOHMTowOHM(ohmBal.add(sOHMBal)));
        if (ohmMigrated) {
            require(oldSupply >= oldOHM.totalSupply(), "OHMv1 minted");
            _send(wAmount, _to);
        } else {
            gOHM.mint(msg.sender, wAmount);
        }
    }

    // send preferred token
    function _send(uint256 wAmount, TYPE _to) internal {
        if (_to == TYPE.WRAPPED) {
            gOHM.safeTransfer(msg.sender, wAmount);
        } else if (_to == TYPE.STAKED) {
            newStaking.unwrap(msg.sender, wAmount);
        } else if (_to == TYPE.UNSTAKED) {
            newStaking.unstake(msg.sender, wAmount, false, false);
        }
    }

    // bridge back to OHM, sOHM, or wsOHM
    function bridgeBack(uint256 _amount, TYPE _to) external {
        if (!ohmMigrated) {
            gOHM.burn(msg.sender, _amount);
        } else {
            gOHM.safeTransferFrom(msg.sender, address(this), _amount);
        }

        uint256 amount = oldwsOHM.wOHMTosOHM(_amount);
        // error throws if contract does not have enough of type to send
        if (_to == TYPE.UNSTAKED) {
            oldOHM.safeTransfer(msg.sender, amount);
        } else if (_to == TYPE.STAKED) {
            oldsOHM.safeTransfer(msg.sender, amount);
        } else if (_to == TYPE.WRAPPED) {
            oldwsOHM.safeTransfer(msg.sender, _amount);
        }
    }

    /* ========== OWNABLE ========== */

    // halt migrations (but not bridging back)
    function halt() external onlyPolicy {
        require(!ohmMigrated, "Migration has occurred");
        shutdown = !shutdown;
    }

    // withdraw backing of migrated OHM
    function defund(address reserve) external onlyGovernor {
        require(ohmMigrated, "Migration has not begun");
        require(timelockEnd < block.number && timelockEnd != 0, "Timelock not complete");

        oldwsOHM.unwrap(oldwsOHM.balanceOf(address(this)));

        uint256 amountToUnstake = oldsOHM.balanceOf(address(this));
        oldsOHM.approve(address(oldStaking), amountToUnstake);
        oldStaking.unstake(amountToUnstake, false);

        uint256 balance = oldOHM.balanceOf(address(this));

        if(balance > oldSupply) {
            oldSupply = 0;
        } else {
            oldSupply -= balance;
        }

        uint256 amountToWithdraw = balance.mul(1e9);
        oldOHM.approve(address(oldTreasury), amountToWithdraw);
        oldTreasury.withdraw(amountToWithdraw, reserve);
        IERC20(reserve).safeTransfer(address(newTreasury), IERC20(reserve).balanceOf(address(this)));

        emit Defunded(balance);
    }

    // start timelock to send backing to new treasury
    function startTimelock() external onlyGovernor {
        require(timelockEnd == 0, "Timelock set");
        timelockEnd = block.number.add(timelockLength);

        emit TimelockStarted(block.number, timelockEnd);
    }

    // set gOHM address
    function setgOHM(address _gOHM) external onlyGovernor {
        require(address(gOHM) == address(0), "Already set");
        require(_gOHM != address(0), "Zero address: gOHM");

        gOHM = IgOHM(_gOHM);
    }

    // call internal migrate token function
    function migrateToken(address token) external onlyGovernor {
        _migrateToken(token, false);
    }

    /**
     *   @notice Migrate LP and pair with new OHM
     */
    function migrateLP(
        address pair,
        bool sushi,
        address token,
        uint256 _minA,
        uint256 _minB
    ) external onlyGovernor {
        uint256 oldLPAmount = IERC20(pair).balanceOf(address(oldTreasury));
        oldTreasury.manage(pair, oldLPAmount);

        IUniswapV2Router router = sushiRouter;
        if (!sushi) {
            router = uniRouter;
        }

        IERC20(pair).approve(address(router), oldLPAmount);
        (uint256 amountA, uint256 amountB) = router.removeLiquidity(
            token, 
            address(oldOHM), 
            oldLPAmount,
            _minA, 
            _minB, 
            address(this), 
            block.timestamp
        );

        newTreasury.mint(address(this), amountB);

        IERC20(token).approve(address(router), amountA);
        newOHM.approve(address(router), amountB);

        router.addLiquidity(
            token, 
            address(newOHM), 
            amountA, 
            amountB, 
            amountA, 
            amountB, 
            address(newTreasury), 
            block.timestamp
        );
    }

    // Failsafe function to allow owner to withdraw funds sent directly to contract in case someone sends non-ohm tokens to the contract
    function withdrawToken(
        address tokenAddress,
        uint256 amount,
        address recipient
    ) external onlyGovernor {
        require(tokenAddress != address(0), "Token address cannot be 0x0");
        require(tokenAddress != address(gOHM), "Cannot withdraw: gOHM");
        require(tokenAddress != address(oldOHM), "Cannot withdraw: old-OHM");
        require(tokenAddress != address(oldsOHM), "Cannot withdraw: old-sOHM");
        require(tokenAddress != address(oldwsOHM), "Cannot withdraw: old-wsOHM");
        require(amount > 0, "Withdraw value must be greater than 0");
        if (recipient == address(0)) {
            recipient = msg.sender; // if no address is specified the value will will be withdrawn to Owner
        }

        IERC20 tokenContract = IERC20(tokenAddress);
        uint256 contractBalance = tokenContract.balanceOf(address(this));
        if (amount > contractBalance) {
            amount = contractBalance; // set the withdrawal amount equal to balance within the account.
        }
        // transfer the token from address of this contract
        tokenContract.safeTransfer(recipient, amount);
    }

    // migrate contracts
    function migrateContracts(
        address _newTreasury,
        address _newStaking,
        address _newOHM,
        address _newsOHM,
        address _reserve
    ) external onlyGovernor {
        require(!ohmMigrated, "Already migrated");
        ohmMigrated = true;
        shutdown = false;

        require(_newTreasury != address(0), "Zero address: Treasury");
        newTreasury = ITreasury(_newTreasury);
        require(_newStaking != address(0), "Zero address: Staking");
        newStaking = IStaking(_newStaking);
        require(_newOHM != address(0), "Zero address: OHM");
        newOHM = IERC20(_newOHM);

        oldSupply = oldOHM.totalSupply(); // log total supply at time of migration

        gOHM.migrate(_newStaking, _newsOHM); // change gOHM minter

        _migrateToken(_reserve, true); // will deposit tokens into new treasury so reserves can be accounted for

        _fund(oldsOHM.circulatingSupply()); // fund with current staked supply for token migration

        emit Migrated(_newStaking, _newTreasury);
    }

    /* ========== INTERNAL FUNCTIONS ========== */

    // fund contract with gOHM
    function _fund(uint256 _amount) internal {
        newTreasury.mint(address(this), _amount);
        newOHM.approve(address(newStaking), _amount);
        newStaking.stake(address(this), _amount, false, true); // stake and claim gOHM

        emit Funded(_amount);
    }

    /**
     *   @notice Migrate token from old treasury to new treasury
     */
    function _migrateToken(address token, bool deposit) internal {
        uint256 balance = IERC20(token).balanceOf(address(oldTreasury));

        uint256 excessReserves = oldTreasury.excessReserves();
        uint256 tokenValue = oldTreasury.valueOf(token, balance);

        if (tokenValue > excessReserves) {
            tokenValue = excessReserves;
            balance = excessReserves * 10**9;
        }

        oldTreasury.manage(token, balance);

        if (deposit) {
            IERC20(token).safeApprove(address(newTreasury), balance);
            newTreasury.deposit(balance, token, tokenValue);
        } else {
            IERC20(token).safeTransfer(address(newTreasury), balance);
        }
    }
}

// SPDX-License-Identifier: AGPL-3.0-or-later
pragma solidity 0.7.5;


/**
 * @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;
    }

    // babylonian method (https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Babylonian_method)
    function sqrrt(uint256 a) internal pure returns (uint c) {
        if (a > 3) {
            c = a;
            uint b = add( div( a, 2), 1 );
            while (b < c) {
                c = b;
                b = div( add( div( a, b ), b), 2 );
            }
        } else if (a != 0) {
            c = 1;
        }
    }

    /*
     * Expects percentage to be trailed by 00,
    */
    function percentageAmount( uint256 total_, uint8 percentage_ ) internal pure returns ( uint256 percentAmount_ ) {
        return div( mul( total_, percentage_ ), 1000 );
    }

    /*
     * Expects percentage to be trailed by 00,
    */
    function substractPercentage( uint256 total_, uint8 percentageToSub_ ) internal pure returns ( uint256 result_ ) {
        return sub( total_, div( mul( total_, percentageToSub_ ), 1000 ) );
    }

    function percentageOfTotal( uint256 part_, uint256 total_ ) internal pure returns ( uint256 percent_ ) {
        return div( mul(part_, 100) , total_ );
    }

    /**
     * Taken from Hypersonic https://github.com/M2629/HyperSonic/blob/main/Math.sol
     * @dev Returns the average of two numbers. The result is rounded towards
     * zero.
     */
    function average(uint256 a, uint256 b) internal pure returns (uint256) {
        // (a + b) / 2 can overflow, so we distribute
        return (a / 2) + (b / 2) + ((a % 2 + b % 2) / 2);
    }

    function quadraticPricing( uint256 payment_, uint256 multiplier_ ) internal pure returns (uint256) {
        return sqrrt( mul( multiplier_, payment_ ) );
    }

  function bondingCurve( uint256 supply_, uint256 multiplier_ ) internal pure returns (uint256) {
      return mul( multiplier_, supply_ );
  }
}

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 in 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");
    //     return _functionCallWithValue(target, data, value, errorMessage);
    // }
    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);
    }

    function _functionCallWithValue(address target, bytes memory data, uint256 weiValue, string memory errorMessage) private returns (bytes memory) {
        require(isContract(target), "Address: call to non-contract");

        // solhint-disable-next-line avoid-low-level-calls
        (bool success, bytes memory returndata) = target.call{ value: weiValue }(data);
        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);
            }
        }
    }

  /**
     * @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 v3.3._
     */
    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 v3.3._
     */
    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);
            }
        }
    }

    function addressToString(address _address) internal pure returns(string memory) {
        bytes32 _bytes = bytes32(uint256(_address));
        bytes memory HEX = "0123456789abcdef";
        bytes memory _addr = new bytes(42);

        _addr[0] = '0';
        _addr[1] = 'x';

        for(uint256 i = 0; i < 20; i++) {
            _addr[2+i*2] = HEX[uint8(_bytes[i + 12] >> 4)];
            _addr[3+i*2] = HEX[uint8(_bytes[i + 12] & 0x0f)];
        }

        return string(_addr);

    }
}

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);
}

abstract contract ERC20
  is 
    IERC20
  {

  using SafeMath for uint256;

  // TODO comment actual hash value.
  bytes32 constant private ERC20TOKEN_ERC1820_INTERFACE_ID = keccak256( "ERC20Token" );
    
  // Present in ERC777
  mapping (address => uint256) internal _balances;

  // Present in ERC777
  mapping (address => mapping (address => uint256)) internal _allowances;

  // Present in ERC777
  uint256 internal _totalSupply;

  // Present in ERC777
  string internal _name;
    
  // Present in ERC777
  string internal _symbol;
    
  // Present in ERC777
  uint8 internal _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_, uint8 decimals_) {
    _name = name_;
    _symbol = symbol_;
    _decimals = decimals_;
  }

  /**
   * @dev Returns the name of the token.
   */
  // Present in ERC777
  function name() public view returns (string memory) {
    return _name;
  }

  /**
   * @dev Returns the symbol of the token, usually a shorter version of the
   * name.
   */
  // Present in ERC777
  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}.
   */
  // Present in ERC777
  function decimals() public view returns (uint8) {
    return _decimals;
  }

  /**
   * @dev See {IERC20-totalSupply}.
   */
  // Present in ERC777
  function totalSupply() public view override returns (uint256) {
    return _totalSupply;
  }

  /**
   * @dev See {IERC20-balanceOf}.
   */
  // Present in ERC777
  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`.
   */
  // Overrideen in ERC777
  // Confirm that this behavior changes 
  function transfer(address recipient, uint256 amount) public virtual override returns (bool) {
    _transfer(msg.sender, recipient, amount);
    return true;
  }

    /**
     * @dev See {IERC20-allowance}.
     */
    // Present in ERC777
    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.
     */
    // Present in ERC777
    function approve(address spender, uint256 amount) public virtual override returns (bool) {
        _approve(msg.sender, spender, amount);
        return true;
    }

    /**
     * @dev See {IERC20-transferFrom}.
     *
     * Emits an {Approval} event indicating the updated allowance. This is not
     * required by the EIP. See the note at the beginning of {ERC20}.
     *
     * Requirements:
     *
     * - `sender` and `recipient` cannot be the zero address.
     * - `sender` must have a balance of at least `amount`.
     * - the caller must have allowance for ``sender``'s tokens of at least
     * `amount`.
     */
    // Present in ERC777
    function transferFrom(address sender, address recipient, uint256 amount) public virtual override returns (bool) {
        _transfer(sender, recipient, amount);
        _approve(sender, msg.sender, _allowances[sender][msg.sender].sub(amount, "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(msg.sender, spender, _allowances[msg.sender][spender].add(addedValue));
        return true;
    }

    /**
     * @dev Atomically decreases the allowance granted to `spender` by the caller.
     *
     * This is an alternative to {approve} that can be used as a mitigation for
     * problems described in {IERC20-approve}.
     *
     * Emits an {Approval} event indicating the updated allowance.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     * - `spender` must have allowance for the caller of at least
     * `subtractedValue`.
     */
    function decreaseAllowance(address spender, uint256 subtractedValue) public virtual returns (bool) {
        _approve(msg.sender, spender, _allowances[msg.sender][spender].sub(subtractedValue, "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.
     */
    // Present in ERC777
    function _mint(address account_, uint256 ammount_) internal virtual {
        require(account_ != address(0), "ERC20: mint to the zero address");
        _beforeTokenTransfer(address( this ), account_, ammount_);
        _totalSupply = _totalSupply.add(ammount_);
        _balances[account_] = _balances[account_].add(ammount_);
        emit Transfer(address( this ), account_, ammount_);
    }

    /**
     * @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.
     */
    // Present in ERC777
    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.
     */
    // Present in ERC777
    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.
     */
    // Considering deprication to reduce size of bytecode as changing _decimals to internal acheived the same functionality.
    // 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].
   */
  // Present in ERC777
  function _beforeTokenTransfer( address from_, address to_, uint256 amount_ ) internal virtual { }
}

library Counters {
    using SafeMath for uint256;

    struct Counter {
        // This variable should never be directly accessed by users of the library: interactions must be restricted to
        // the library's function. As of Solidity v0.5.2, this cannot be enforced, though there is a proposal to add
        // this feature: see https://github.com/ethereum/solidity/issues/4637
        uint256 _value; // default: 0
    }

    function current(Counter storage counter) internal view returns (uint256) {
        return counter._value;
    }

    function increment(Counter storage counter) internal {
        // The {SafeMath} overflow check can be skipped here, see the comment at the top
        counter._value += 1;
    }

    function decrement(Counter storage counter) internal {
        counter._value = counter._value.sub(1);
    }
}

interface IERC2612Permit {
    /**
     * @dev Sets `amount` as the allowance of `spender` over `owner`'s tokens,
     * given `owner`'s signed approval.
     *
     * IMPORTANT: The same issues {IERC20-approve} has related to transaction
     * ordering also apply here.
     *
     * Emits an {Approval} event.
     *
     * Requirements:
     *
     * - `owner` cannot be the zero address.
     * - `spender` cannot be the zero address.
     * - `deadline` must be a timestamp in the future.
     * - `v`, `r` and `s` must be a valid `secp256k1` signature from `owner`
     * over the EIP712-formatted function arguments.
     * - the signature must use ``owner``'s current nonce (see {nonces}).
     *
     * For more information on the signature format, see the
     * https://eips.ethereum.org/EIPS/eip-2612#specification[relevant EIP
     * section].
     */
    function permit(
        address owner,
        address spender,
        uint256 amount,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) external;

    /**
     * @dev Returns the current ERC2612 nonce for `owner`. This value must be
     * included whenever a signature is generated for {permit}.
     *
     * Every successful call to {permit} increases ``owner``'s nonce by one. This
     * prevents a signature from being used multiple times.
     */
    function nonces(address owner) external view returns (uint256);
}

abstract contract ERC20Permit is ERC20, IERC2612Permit {
    using Counters for Counters.Counter;

    mapping(address => Counters.Counter) private _nonces;

    // keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)");
    bytes32 public constant PERMIT_TYPEHASH = 0x6e71edae12b1b97f4d1f60370fef10105fa2faae0126114a169c64845d6126c9;

    bytes32 public DOMAIN_SEPARATOR;

    constructor() {

        uint256 chainID;
        assembly {
            chainID := chainid()
        }

        DOMAIN_SEPARATOR = keccak256(abi.encode(
            keccak256("EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)"),
            keccak256(bytes(name())),
            keccak256(bytes("1")), // Version
            chainID,
            address(this)
        ));
    }

    /**
     * @dev See {IERC2612Permit-permit}.
     *
     */
    function permit(
        address owner,
        address spender,
        uint256 amount,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) public virtual override {
        require(block.timestamp <= deadline, "Permit: expired deadline");

        bytes32 hashStruct =
            keccak256(abi.encode(PERMIT_TYPEHASH, owner, spender, amount, _nonces[owner].current(), deadline));

        bytes32 _hash = keccak256(abi.encodePacked(uint16(0x1901), DOMAIN_SEPARATOR, hashStruct));

        address signer = ecrecover(_hash, v, r, s);
        require(signer != address(0) && signer == owner, "ZeroSwapPermit: Invalid signature");

        _nonces[owner].increment();
        _approve(owner, spender, amount);
    }

    /**
     * @dev See {IERC2612Permit-nonces}.
     */
    function nonces(address owner) public view override returns (uint256) {
        return _nonces[owner].current();
    }
}

interface IOwnable {
  function manager() external view returns (address);

  function renounceManagement() external;
  
  function pushManagement( address newOwner_ ) external;
  
  function pullManagement() external;
}

contract Ownable is IOwnable {

    address internal _owner;
    address internal _newOwner;

    event OwnershipPushed(address indexed previousOwner, address indexed newOwner);
    event OwnershipPulled(address indexed previousOwner, address indexed newOwner);

    constructor () {
        _owner = msg.sender;
        emit OwnershipPushed( address(0), _owner );
    }

    function manager() public view override returns (address) {
        return _owner;
    }

    modifier onlyManager() {
        require( _owner == msg.sender, "Ownable: caller is not the owner" );
        _;
    }

    function renounceManagement() public virtual override onlyManager() {
        emit OwnershipPushed( _owner, address(0) );
        _owner = address(0);
    }

    function pushManagement( address newOwner_ ) public virtual override onlyManager() {
        require( newOwner_ != address(0), "Ownable: new owner is the zero address");
        emit OwnershipPushed( _owner, newOwner_ );
        _newOwner = newOwner_;
    }
    
    function pullManagement() public virtual override {
        require( msg.sender == _newOwner, "Ownable: must be new owner to pull");
        emit OwnershipPulled( _owner, _newOwner );
        _owner = _newOwner;
    }
}

contract sOlympus is ERC20Permit, Ownable {

    using SafeMath for uint256;

    modifier onlyStakingContract() {
        require( msg.sender == stakingContract );
        _;
    }

    address public stakingContract;
    address public initializer;

    event LogSupply(uint256 indexed epoch, uint256 timestamp, uint256 totalSupply );
    event LogRebase( uint256 indexed epoch, uint256 rebase, uint256 index );
    event LogStakingContractUpdated( address stakingContract );

    struct Rebase {
        uint epoch;
        uint rebase; // 18 decimals
        uint totalStakedBefore;
        uint totalStakedAfter;
        uint amountRebased;
        uint index;
        uint blockNumberOccured;
    }
    Rebase[] public rebases;

    uint public INDEX;

    uint256 private constant MAX_UINT256 = ~uint256(0);
    uint256 private constant INITIAL_FRAGMENTS_SUPPLY = 5000000 * 10**9;

    // TOTAL_GONS is a multiple of INITIAL_FRAGMENTS_SUPPLY so that _gonsPerFragment is an integer.
    // Use the highest value that fits in a uint256 for max granularity.
    uint256 private constant TOTAL_GONS = MAX_UINT256 - (MAX_UINT256 % INITIAL_FRAGMENTS_SUPPLY);

    // MAX_SUPPLY = maximum integer < (sqrt(4*TOTAL_GONS + 1) - 1) / 2
    uint256 private constant MAX_SUPPLY = ~uint128(0);  // (2^128) - 1

    uint256 private _gonsPerFragment;
    mapping(address => uint256) private _gonBalances;

    mapping ( address => mapping ( address => uint256 ) ) private _allowedValue;

    constructor() ERC20("Staked Olympus", "sOHM", 9) ERC20Permit() {
        initializer = msg.sender;
        _totalSupply = INITIAL_FRAGMENTS_SUPPLY;
        _gonsPerFragment = TOTAL_GONS.div(_totalSupply);
    }

    function initialize( address stakingContract_ ) external returns ( bool ) {
        require( msg.sender == initializer );
        require( stakingContract_ != address(0) );
        stakingContract = stakingContract_;
        _gonBalances[ stakingContract ] = TOTAL_GONS;

        emit Transfer( address(0x0), stakingContract, _totalSupply );
        emit LogStakingContractUpdated( stakingContract_ );
        
        initializer = address(0);
        return true;
    }

    function setIndex( uint _INDEX ) external onlyManager() returns ( bool ) {
        require( INDEX == 0 );
        INDEX = gonsForBalance( _INDEX );
        return true;
    }

    /**
        @notice increases sOHM supply to increase staking balances relative to profit_
        @param profit_ uint256
        @return uint256
     */
    function rebase( uint256 profit_, uint epoch_ ) public onlyStakingContract() returns ( uint256 ) {
        uint256 rebaseAmount;
        uint256 circulatingSupply_ = circulatingSupply();

        if ( profit_ == 0 ) {
            emit LogSupply( epoch_, block.timestamp, _totalSupply );
            emit LogRebase( epoch_, 0, index() );
            return _totalSupply;
        } else if ( circulatingSupply_ > 0 ){
            rebaseAmount = profit_.mul( _totalSupply ).div( circulatingSupply_ );
        } else {
            rebaseAmount = profit_;
        }

        _totalSupply = _totalSupply.add( rebaseAmount );

        if ( _totalSupply > MAX_SUPPLY ) {
            _totalSupply = MAX_SUPPLY;
        }

        _gonsPerFragment = TOTAL_GONS.div( _totalSupply );

        _storeRebase( circulatingSupply_, profit_, epoch_ );

        return _totalSupply;
    }

    /**
        @notice emits event with data about rebase
        @param previousCirculating_ uint
        @param profit_ uint
        @param epoch_ uint
        @return bool
     */
    function _storeRebase( uint previousCirculating_, uint profit_, uint epoch_ ) internal returns ( bool ) {
        uint rebasePercent = profit_.mul( 1e18 ).div( previousCirculating_ );

        rebases.push( Rebase ( {
            epoch: epoch_,
            rebase: rebasePercent, // 18 decimals
            totalStakedBefore: previousCirculating_,
            totalStakedAfter: circulatingSupply(),
            amountRebased: profit_,
            index: index(),
            blockNumberOccured: block.number
        }));
        
        emit LogSupply( epoch_, block.timestamp, _totalSupply );
        emit LogRebase( epoch_, rebasePercent, index() );

        return true;
    }

    function balanceOf( address who ) public view override returns ( uint256 ) {
        return _gonBalances[ who ].div( _gonsPerFragment );
    }

    function gonsForBalance( uint amount ) public view returns ( uint ) {
        return amount.mul( _gonsPerFragment );
    }

    function balanceForGons( uint gons ) public view returns ( uint ) {
        return gons.div( _gonsPerFragment );
    }

    // Staking contract holds excess sOHM
    function circulatingSupply() public view returns ( uint ) {
        return _totalSupply.sub( balanceOf( stakingContract ) );
    }

    function index() public view returns ( uint ) {
        return balanceForGons( INDEX );
    }

    function transfer( address to, uint256 value ) public override returns (bool) {
        uint256 gonValue = value.mul( _gonsPerFragment );
        _gonBalances[ msg.sender ] = _gonBalances[ msg.sender ].sub( gonValue );
        _gonBalances[ to ] = _gonBalances[ to ].add( gonValue );
        emit Transfer( msg.sender, to, value );
        return true;
    }

    function allowance( address owner_, address spender ) public view override returns ( uint256 ) {
        return _allowedValue[ owner_ ][ spender ];
    }

    function transferFrom( address from, address to, uint256 value ) public override returns ( bool ) {
       _allowedValue[ from ][ msg.sender ] = _allowedValue[ from ][ msg.sender ].sub( value );
       emit Approval( from, msg.sender,  _allowedValue[ from ][ msg.sender ] );

        uint256 gonValue = gonsForBalance( value );
        _gonBalances[ from ] = _gonBalances[from].sub( gonValue );
        _gonBalances[ to ] = _gonBalances[to].add( gonValue );
        emit Transfer( from, to, value );

        return true;
    }

    function approve( address spender, uint256 value ) public override returns (bool) {
         _allowedValue[ msg.sender ][ spender ] = value;
         emit Approval( msg.sender, spender, value );
         return true;
    }

    // What gets called in a permit
    function _approve( address owner, address spender, uint256 value ) internal override virtual {
        _allowedValue[owner][spender] = value;
        emit Approval( owner, spender, value );
    }

    function increaseAllowance( address spender, uint256 addedValue ) public override returns (bool) {
        _allowedValue[ msg.sender ][ spender ] = _allowedValue[ msg.sender ][ spender ].add( addedValue );
        emit Approval( msg.sender, spender, _allowedValue[ msg.sender ][ spender ] );
        return true;
    }

    function decreaseAllowance( address spender, uint256 subtractedValue ) public override returns (bool) {
        uint256 oldValue = _allowedValue[ msg.sender ][ spender ];
        if (subtractedValue >= oldValue) {
            _allowedValue[ msg.sender ][ spender ] = 0;
        } else {
            _allowedValue[ msg.sender ][ spender ] = oldValue.sub( subtractedValue );
        }
        emit Approval( msg.sender, spender, _allowedValue[ msg.sender ][ spender ] );
        return true;
    }
}

// SPDX-License-Identifier: AGPL-3.0-or-later

// File: interfaces/IERC20.sol


pragma solidity >=0.7.5;

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: interfaces/IgOHM.sol


pragma solidity >=0.7.5;


interface IgOHM is IERC20 {
  function mint(address _to, uint256 _amount) external;

  function burn(address _from, uint256 _amount) external;

  function index() external view returns (uint256);

  function balanceFrom(uint256 _amount) external view returns (uint256);

  function balanceTo(uint256 _amount) external view returns (uint256);

  function migrate( address _staking, address _sOHM ) external;
}

// File: interfaces/IsOHM.sol


pragma solidity >=0.7.5;


interface IsOHM is IERC20 {
    function rebase( uint256 ohmProfit_, uint epoch_) external returns (uint256);

    function circulatingSupply() external view returns (uint256);

    function gonsForBalance( uint amount ) external view returns ( uint );

    function balanceForGons( uint gons ) external view returns ( uint );

    function index() external view returns ( uint );

    function toG(uint amount) external view returns (uint);

    function fromG(uint amount) external view returns (uint);

     function changeDebt(
        uint256 amount,
        address debtor,
        bool add
    ) external;

    function debtBalances(address _address) external view returns (uint256);
}

// File: libraries/Address.sol


pragma solidity 0.7.5;


// TODO(zx): replace with OZ implementation.
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 in 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");
    //     return _functionCallWithValue(target, data, value, errorMessage);
    // }
    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);
    }

    function _functionCallWithValue(address target, bytes memory data, uint256 weiValue, string memory errorMessage) private returns (bytes memory) {
        require(isContract(target), "Address: call to non-contract");

        // solhint-disable-next-line avoid-low-level-calls
        (bool success, bytes memory returndata) = target.call{ value: weiValue }(data);
        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);
            }
        }
    }

  /**
     * @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 v3.3._
     */
    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 v3.3._
     */
    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);
            }
        }
    }

    function addressToString(address _address) internal pure returns(string memory) {
        bytes32 _bytes = bytes32(uint256(_address));
        bytes memory HEX = "0123456789abcdef";
        bytes memory _addr = new bytes(42);

        _addr[0] = '0';
        _addr[1] = 'x';

        for(uint256 i = 0; i < 20; i++) {
            _addr[2+i*2] = HEX[uint8(_bytes[i + 12] >> 4)];
            _addr[3+i*2] = HEX[uint8(_bytes[i + 12] & 0x0f)];
        }

        return string(_addr);

    }
}
// File: libraries/SafeMath.sol


pragma solidity ^0.7.5;


// TODO(zx): Replace all instances of SafeMath with OZ implementation
library SafeMath {

    function add(uint256 a, uint256 b) internal pure returns (uint256) {
        uint256 c = a + b;
        require(c >= a, "SafeMath: addition overflow");

        return c;
    }

    function sub(uint256 a, uint256 b) internal pure returns (uint256) {
        return sub(a, b, "SafeMath: subtraction overflow");
    }

    function sub(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b <= a, errorMessage);
        uint256 c = a - b;

        return c;
    }

    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;
    }

    function div(uint256 a, uint256 b) internal pure returns (uint256) {
        return div(a, b, "SafeMath: division by 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;
    }

    // Only used in the  BondingCalculator.sol
    function sqrrt(uint256 a) internal pure returns (uint c) {
        if (a > 3) {
            c = a;
            uint b = add( div( a, 2), 1 );
            while (b < c) {
                c = b;
                b = div( add( div( a, b ), b), 2 );
            }
        } else if (a != 0) {
            c = 1;
        }
    }

}
// File: types/ERC20.sol


pragma solidity 0.7.5;




abstract contract ERC20 is IERC20 {

    using SafeMath for uint256;

    // TODO comment actual hash value.
    bytes32 constant private ERC20TOKEN_ERC1820_INTERFACE_ID = keccak256( "ERC20Token" );
    
    mapping (address => uint256) internal _balances;

    mapping (address => mapping (address => uint256)) internal _allowances;

    uint256 internal _totalSupply;

    string internal _name;
    
    string internal _symbol;
    
    uint8 internal _decimals;

    constructor (string memory name_, string memory symbol_, uint8 decimals_) {
        _name = name_;
        _symbol = symbol_;
        _decimals = decimals_;
    }

    function name() public view returns (string memory) {
        return _name;
    }

    function symbol() public view returns (string memory) {
        return _symbol;
    }

    function decimals() public view virtual returns (uint8) {
        return _decimals;
    }

    function totalSupply() public view override returns (uint256) {
        return _totalSupply;
    }

    function balanceOf(address account) public view virtual override returns (uint256) {
        return _balances[account];
    }

    function transfer(address recipient, uint256 amount) public virtual override returns (bool) {
        _transfer(msg.sender, recipient, amount);
        return true;
    }

    function allowance(address owner, address spender) public view virtual override returns (uint256) {
        return _allowances[owner][spender];
    }

    function approve(address spender, uint256 amount) public virtual override returns (bool) {
        _approve(msg.sender, spender, amount);
        return true;
    }

    function transferFrom(address sender, address recipient, uint256 amount) public virtual override returns (bool) {
        _transfer(sender, recipient, amount);
        _approve(sender, msg.sender, _allowances[sender][msg.sender].sub(amount, "ERC20: transfer amount exceeds allowance"));
        return true;
    }

    function increaseAllowance(address spender, uint256 addedValue) public virtual returns (bool) {
        _approve(msg.sender, spender, _allowances[msg.sender][spender].add(addedValue));
        return true;
    }

    function decreaseAllowance(address spender, uint256 subtractedValue) public virtual returns (bool) {
        _approve(msg.sender, spender, _allowances[msg.sender][spender].sub(subtractedValue, "ERC20: decreased allowance below zero"));
        return true;
    }

    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);
    }

    function _mint(address account_, uint256 ammount_) internal virtual {
        require(account_ != address(0), "ERC20: mint to the zero address");
        _beforeTokenTransfer(address( this ), account_, ammount_);
        _totalSupply = _totalSupply.add(ammount_);
        _balances[account_] = _balances[account_].add(ammount_);
        emit Transfer(address( this ), account_, ammount_);
    }

    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);
    }

    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);
    }

  function _beforeTokenTransfer( address from_, address to_, uint256 amount_ ) internal virtual { }
}

// File: gOHM.sol


pragma solidity ^0.7.5;






contract gOHM is IgOHM, ERC20 {

    /* ========== DEPENDENCIES ========== */

    using Address for address;
    using SafeMath for uint256;

    /* ========== MODIFIERS ========== */

    modifier onlyApproved() {
        require(msg.sender == approved, "Only approved");
        _;
    }

    /* ========== EVENTS ========== */

    event DelegateChanged(address indexed delegator, address indexed fromDelegate, address indexed toDelegate);
    event DelegateVotesChanged(address indexed delegate, uint256 previousBalance, uint256 newBalance);

    /* ========== DATA STRUCTURES ========== */

    /// @notice A checkpoint for marking number of votes from a given block
    struct Checkpoint {
        uint256 fromBlock;
        uint256 votes;
    }

    /* ========== STATE VARIABLES ========== */

    IsOHM public sOHM;
    address public approved; // minter
    bool public migrated;

    mapping(address => mapping(uint256 => Checkpoint)) public checkpoints;
    mapping(address => uint256) public numCheckpoints;
    mapping(address => address) public delegates;

    /* ========== CONSTRUCTOR ========== */

    constructor(address _migrator, address _sOHM)
        ERC20("Governance OHM", "gOHM", 18)
    {
        require(_migrator != address(0), "Zero address: Migrator");
        approved = _migrator;
        require(_sOHM != address(0), "Zero address: sOHM");
        sOHM = IsOHM(_sOHM);
    }

    /* ========== MUTATIVE FUNCTIONS ========== */

    /**
     * @notice transfer mint rights from migrator to staking
     * @notice can only be done once, at the time of contract migration
     * @param _staking address
     * @param _sOHM address
     */
    function migrate(address _staking, address _sOHM) external override onlyApproved {
        require(!migrated, "Migrated");
        migrated = true;

        require(_staking != approved, "Invalid argument");
        require(_staking != address(0), "Zero address found");
        approved = _staking;

        require(_sOHM != address(0), "Zero address found");
        sOHM = IsOHM(_sOHM);
    }

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

    /**
        @notice mint gOHM
        @param _to address
        @param _amount uint
     */
    function mint(address _to, uint256 _amount) external override onlyApproved {
        _mint(_to, _amount);
    }

    /**
        @notice burn gOHM
        @param _from address
        @param _amount uint
     */
    function burn(address _from, uint256 _amount) external override onlyApproved {
        _burn(_from, _amount);
    }

    /* ========== VIEW FUNCTIONS ========== */

    /**
     * @notice pull index from sOHM token
     */
    function index() public view override returns (uint256) {
        return sOHM.index();
    }

    /**
        @notice converts gOHM amount to OHM
        @param _amount uint
        @return uint
     */
    function balanceFrom(uint256 _amount) public view override returns (uint256) {
        return _amount.mul(index()).div(10**decimals());
    }

    /**
        @notice converts OHM amount to gOHM
        @param _amount uint
        @return uint
     */
    function balanceTo(uint256 _amount) public view override returns (uint256) {
        return _amount.mul(10**decimals()).div(index());
    }

    /**
     * @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 (uint256) {
        uint256 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, uint256 blockNumber) external view returns (uint256) {
        require(blockNumber < block.number, "gOHM::getPriorVotes: not yet determined");

        uint256 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;
        }

        uint256 lower = 0;
        uint256 upper = nCheckpoints - 1;
        while (upper > lower) {
            uint256 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;
    }

    /* ========== INTERNAL FUNCTIONS ========== */

    function _delegate(address delegator, address delegatee) internal {
        address currentDelegate = delegates[delegator];
        uint256 delegatorBalance = _balances[delegator];
        delegates[delegator] = delegatee;

        emit DelegateChanged(delegator, currentDelegate, delegatee);

        _moveDelegates(currentDelegate, delegatee, delegatorBalance);
    }

    function _moveDelegates(
        address srcRep,
        address dstRep,
        uint256 amount
    ) internal {
        if (srcRep != dstRep && amount > 0) {
            if (srcRep != address(0)) {
                uint256 srcRepNum = numCheckpoints[srcRep];
                uint256 srcRepOld = srcRepNum > 0 ? checkpoints[srcRep][srcRepNum - 1].votes : 0;
                uint256 srcRepNew = srcRepOld.sub(amount);
                _writeCheckpoint(srcRep, srcRepNum, srcRepOld, srcRepNew);
            }

            if (dstRep != address(0)) {
                uint256 dstRepNum = numCheckpoints[dstRep];
                uint256 dstRepOld = dstRepNum > 0 ? checkpoints[dstRep][dstRepNum - 1].votes : 0;
                uint256 dstRepNew = dstRepOld.add(amount);
                _writeCheckpoint(dstRep, dstRepNum, dstRepOld, dstRepNew);
            }
        }
    }

    function _writeCheckpoint(
        address delegatee,
        uint256 nCheckpoints,
        uint256 oldVotes,
        uint256 newVotes
    ) internal {
        if (nCheckpoints > 0 && checkpoints[delegatee][nCheckpoints - 1].fromBlock == block.number) {
            checkpoints[delegatee][nCheckpoints - 1].votes = newVotes;
        } else {
            checkpoints[delegatee][nCheckpoints] = Checkpoint(block.number, newVotes);
            numCheckpoints[delegatee] = nCheckpoints + 1;
        }

        emit DelegateVotesChanged(delegatee, oldVotes, newVotes);
    }

    /**
        @notice Ensure delegation moves when token is transferred.
     */
    function _beforeTokenTransfer(
        address from,
        address to,
        uint256 amount
    ) internal override {
        _moveDelegates(delegates[from], delegates[to], amount);
    }
}

// SPDX-License-Identifier: MIT
pragma solidity 0.7.5;

/**
 * @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);
}

/**
 * @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;
    }
}


/**
 * @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 in 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");
        return _functionCallWithValue(target, data, value, errorMessage);
    }

    function _functionCallWithValue(address target, bytes memory data, uint256 weiValue, string memory errorMessage) private returns (bytes memory) {
        require(isContract(target), "Address: call to non-contract");

        // solhint-disable-next-line avoid-low-level-calls
        (bool success, bytes memory returndata) = target.call{ value: weiValue }(data);
        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);
            }
        }
    }
}

/**
 * @dev Implementation of the {IERC20} interface.
 *
 * This implementation is agnostic to the way tokens are created. This means
 * that a supply mechanism has to be added in a derived contract using {_mint}.
 * For a generic mechanism see {ERC20PresetMinterPauser}.
 *
 * TIP: For a detailed writeup see our guide
 * https://forum.zeppelin.solutions/t/how-to-implement-erc20-supply-mechanisms/226[How
 * to implement supply mechanisms].
 *
 * We have followed general OpenZeppelin guidelines: functions revert instead
 * of returning `false` on failure. This behavior is nonetheless conventional
 * and does not conflict with the expectations of ERC20 applications.
 *
 * Additionally, an {Approval} event is emitted on calls to {transferFrom}.
 * This allows applications to reconstruct the allowance for all accounts just
 * by listening to said events. Other implementations of the EIP may not emit
 * these events, as it isn't required by the specification.
 *
 * Finally, the non-standard {decreaseAllowance} and {increaseAllowance}
 * functions have been added to mitigate the well-known issues around setting
 * allowances. See {IERC20-approve}.
 */
contract ERC20 is IERC20 {
    using SafeMath for uint256;
    using Address for address;

    mapping (address => uint256) private _balances;

    mapping (address => mapping (address => uint256)) private _allowances;

    uint256 private _totalSupply;

    string private _name;
    string private _symbol;
    uint8 private _decimals;

    /**
     * @dev Sets the values for {name} and {symbol}, initializes {decimals} with
     * a default value of 18.
     *
     * To select a different value for {decimals}, use {_setupDecimals}.
     *
     * All three of these values are immutable: they can only be set once during
     * construction.
     */
    constructor (string memory name, string memory symbol) {
        _name = name;
        _symbol = symbol;
        _decimals = 18;
    }

    /**
     * @dev Returns the name of the token.
     */
    function name() public view returns (string memory) {
        return _name;
    }

    /**
     * @dev Returns the symbol of the token, usually a shorter version of the
     * name.
     */
    function symbol() public view returns (string memory) {
        return _symbol;
    }

    /**
     * @dev Returns the number of decimals used to get its user representation.
     * For example, if `decimals` equals `2`, a balance of `505` tokens should
     * be displayed to a user as `5,05` (`505 / 10 ** 2`).
     *
     * Tokens usually opt for a value of 18, imitating the relationship between
     * Ether and Wei. This is the value {ERC20} uses, unless {_setupDecimals} is
     * called.
     *
     * NOTE: This information is only used for _display_ purposes: it in
     * no way affects any of the arithmetic of the contract, including
     * {IERC20-balanceOf} and {IERC20-transfer}.
     */
    function decimals() public view returns (uint8) {
        return _decimals;
    }

    /**
     * @dev See {IERC20-totalSupply}.
     */
    function totalSupply() public view override returns (uint256) {
        return _totalSupply;
    }

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

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

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

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

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

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

/**
 * @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");
        }
    }
}

interface IsOHM {
    function index() external view returns ( uint );
}

contract wOHM is ERC20 {
    using SafeERC20 for ERC20;
    using Address for address;
    using SafeMath for uint;

    address public immutable sOHM;

    constructor( address _sOHM ) ERC20( 'Wrapped sOHM', 'wsOHM' ) {
        require( _sOHM != address(0) );
        sOHM = _sOHM;
    }

    /**
        @notice wrap sOHM
        @param _amount uint
        @return uint
     */
    function wrap( uint _amount ) external returns ( uint ) {
        IERC20( sOHM ).transferFrom( msg.sender, address(this), _amount );
        
        uint value = sOHMTowOHM( _amount );
        _mint( msg.sender, value );
        return value;
    }

    /**
        @notice unwrap sOHM
        @param _amount uint
        @return uint
     */
    function unwrap( uint _amount ) external returns ( uint ) {
        _burn( msg.sender, _amount );

        uint value = wOHMTosOHM( _amount );
        IERC20( sOHM ).transfer( msg.sender, value );
        return value;
    }

    /**
        @notice converts wOHM amount to sOHM
        @param _amount uint
        @return uint
     */
    function wOHMTosOHM( uint _amount ) public view returns ( uint ) {
        return _amount.mul( IsOHM( sOHM ).index() ).div( 10 ** decimals() );
    }

    /**
        @notice converts sOHM amount to wOHM
        @param _amount uint
        @return uint
     */
    function sOHMTowOHM( uint _amount ) public view returns ( uint ) {
        return _amount.mul( 10 ** decimals() ).div( IsOHM( sOHM ).index() );
    }

}

// SPDX-License-Identifier: AGPL-3.0-or-later
pragma solidity 0.7.5;

/**
 * @dev Intended to update the TWAP for a token based on accepting an update call from that token.
 *  expectation is to have this happen in the _beforeTokenTransfer function of ERC20.
 *  Provides a method for a token to register its price sourve adaptor.
 *  Provides a function for a token to register its TWAP updater. Defaults to token itself.
 *  Provides a function a tokent to set its TWAP epoch.
 *  Implements automatic closeing and opening up a TWAP epoch when epoch ends.
 *  Provides a function to report the TWAP from the last epoch when passed a token address.
 */
interface ITWAPOracle {

  function uniV2CompPairAddressForLastEpochUpdateBlockTimstamp( address ) external returns ( uint32 );

  function priceTokenAddressForPricingTokenAddressForLastEpochUpdateBlockTimstamp( address tokenToPrice_, address tokenForPriceComparison_, uint epochPeriod_ ) external returns ( uint32 );

  function pricedTokenForPricingTokenForEpochPeriodForPrice( address, address, uint ) external returns ( uint );

  function pricedTokenForPricingTokenForEpochPeriodForLastEpochPrice( address, address, uint ) external returns ( uint );

  function updateTWAP( address uniV2CompatPairAddressToUpdate_, uint eopchPeriodToUpdate_ ) external returns ( bool );
}

library EnumerableSet {

  // To implement this library for multiple types with as little code
  // repetition as possible, we write it in terms of a generic Set type with
  // bytes32 values.
  // The Set implementation uses private functions, and user-facing
  // implementations (such as AddressSet) are just wrappers around the
  // underlying Set.
  // This means that we can only create new EnumerableSets for types that fit
  // in bytes32.
  struct Set {
    // Storage of set values
    bytes32[] _values;

    // Position of the value in the `values` array, plus 1 because index 0
    // means a value is not in the set.
    mapping (bytes32 => uint256) _indexes;
  }

  /**
   * @dev Add a value to a set. O(1).
   *
   * Returns true if the value was added to the set, that is if it was not
   * already present.
   */
  function _add(Set storage set, bytes32 value) private returns (bool) {
    if (!_contains(set, value)) {
      set._values.push(value);
      // The value is stored at length-1, but we add 1 to all indexes
      // and use 0 as a sentinel value
      set._indexes[value] = set._values.length;
      return true;
    } else {
      return false;
    }
  }

  /**
   * @dev Removes a value from a set. O(1).
   *
   * Returns true if the value was removed from the set, that is if it was
   * present.
   */
  function _remove(Set storage set, bytes32 value) private returns (bool) {
    // We read and store the value's index to prevent multiple reads from the same storage slot
    uint256 valueIndex = set._indexes[value];

    if (valueIndex != 0) { // Equivalent to contains(set, value)
      // To delete an element from the _values array in O(1), we swap the element to delete with the last one in
      // the array, and then remove the last element (sometimes called as 'swap and pop').
      // This modifies the order of the array, as noted in {at}.

      uint256 toDeleteIndex = valueIndex - 1;
      uint256 lastIndex = set._values.length - 1;

      // When the value to delete is the last one, the swap operation is unnecessary. However, since this occurs
      // so rarely, we still do the swap anyway to avoid the gas cost of adding an 'if' statement.

      bytes32 lastvalue = set._values[lastIndex];

      // Move the last value to the index where the value to delete is
      set._values[toDeleteIndex] = lastvalue;
      // Update the index for the moved value
      set._indexes[lastvalue] = toDeleteIndex + 1; // All indexes are 1-based

      // Delete the slot where the moved value was stored
      set._values.pop();

      // Delete the index for the deleted slot
      delete set._indexes[value];

      return true;
    } else {
      return false;
    }
  }

  /**
   * @dev Returns true if the value is in the set. O(1).
   */
  function _contains(Set storage set, bytes32 value) private view returns (bool) {
    return set._indexes[value] != 0;
  }

  /**
   * @dev Returns the number of values on the set. O(1).
   */
  function _length(Set storage set) private view returns (uint256) {
    return set._values.length;
  }

   /**
    * @dev Returns the value stored at position `index` in the set. O(1).
    *
    * Note that there are no guarantees on the ordering of values inside the
    * array, and it may change when more values are added or removed.
    *
    * Requirements:
    *
    * - `index` must be strictly less than {length}.
    */
  function _at(Set storage set, uint256 index) private view returns (bytes32) {
    require(set._values.length > index, "EnumerableSet: index out of bounds");
    return set._values[index];
  }

  function _getValues( Set storage set_ ) private view returns ( bytes32[] storage ) {
    return set_._values;
  }

  // TODO needs insert function that maintains order.
  // TODO needs NatSpec documentation comment.
  /**
   * Inserts new value by moving existing value at provided index to end of array and setting provided value at provided index
   */
  function _insert(Set storage set_, uint256 index_, bytes32 valueToInsert_ ) private returns ( bool ) {
    require(  set_._values.length > index_ );
    require( !_contains( set_, valueToInsert_ ), "Remove value you wish to insert if you wish to reorder array." );
    bytes32 existingValue_ = _at( set_, index_ );
    set_._values[index_] = valueToInsert_;
    return _add( set_, existingValue_);
  } 

  struct Bytes4Set {
    Set _inner;
  }

  /**
   * @dev Add a value to a set. O(1).
   *
   * Returns true if the value was added to the set, that is if it was not
   * already present.
   */
  function add(Bytes4Set storage set, bytes4 value) internal returns (bool) {
    return _add(set._inner, value);
  }

  /**
   * @dev Removes a value from a set. O(1).
   *
   * Returns true if the value was removed from the set, that is if it was
   * present.
   */
  function remove(Bytes4Set storage set, bytes4 value) internal returns (bool) {
    return _remove(set._inner, value);
  }

  /**
   * @dev Returns true if the value is in the set. O(1).
   */
  function contains(Bytes4Set storage set, bytes4 value) internal view returns (bool) {
    return _contains(set._inner, value);
  }

  /**
   * @dev Returns the number of values on the set. O(1).
   */
  function length(Bytes4Set storage set) internal view returns (uint256) {
    return _length(set._inner);
  }

  /**
   * @dev Returns the value stored at position `index` in the set. O(1).
   *
   * Note that there are no guarantees on the ordering of values inside the
   * array, and it may change when more values are added or removed.
   *
   * Requirements:
   *
   * - `index` must be strictly less than {length}.
   */
  function at(Bytes4Set storage set, uint256 index) internal view returns ( bytes4 ) {
    return bytes4( _at( set._inner, index ) );
  }

  function getValues( Bytes4Set storage set_ ) internal view returns ( bytes4[] memory ) {
    bytes4[] memory bytes4Array_;
    for( uint256 iteration_ = 0; _length( set_._inner ) > iteration_; iteration_++ ) {
      bytes4Array_[iteration_] = bytes4( _at( set_._inner, iteration_ ) );
    }
    return bytes4Array_;
  }

  function insert( Bytes4Set storage set_, uint256 index_, bytes4 valueToInsert_ ) internal returns ( bool ) {
    return _insert( set_._inner, index_, valueToInsert_ );
  }

    struct Bytes32Set {
        Set _inner;
    }

    /**
     * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
    function add(Bytes32Set storage set, bytes32 value) internal returns (bool) {
        return _add(set._inner, value);
    }

    /**
     * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
    function remove(Bytes32Set storage set, bytes32 value) internal returns (bool) {
        return _remove(set._inner, value);
    }

    /**
     * @dev Returns true if the value is in the set. O(1).
     */
    function contains(Bytes32Set storage set, bytes32 value) internal view returns (bool) {
        return _contains(set._inner, value);
    }

    /**
     * @dev Returns the number of values on the set. O(1).
     */
    function length(Bytes32Set storage set) internal view returns (uint256) {
        return _length(set._inner);
    }

    /**
     * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
    function at(Bytes32Set storage set, uint256 index) internal view returns ( bytes32 ) {
        return _at(set._inner, index);
    }

  function getValues( Bytes32Set storage set_ ) internal view returns ( bytes4[] memory ) {
    bytes4[] memory bytes4Array_;

      for( uint256 iteration_ = 0; _length( set_._inner ) >= iteration_; iteration_++ ){
        bytes4Array_[iteration_] = bytes4( at( set_, iteration_ ) );
      }

      return bytes4Array_;
  }

  function insert( Bytes32Set storage set_, uint256 index_, bytes32 valueToInsert_ ) internal returns ( bool ) {
    return _insert( set_._inner, index_, valueToInsert_ );
  }

  // AddressSet
  struct AddressSet {
    Set _inner;
  }

  /**
   * @dev Add a value to a set. O(1).
   *
   * Returns true if the value was added to the set, that is if it was not
   * already present.
   */
  function add(AddressSet storage set, address value) internal returns (bool) {
    return _add(set._inner, bytes32(uint256(value)));
  }

  /**
   * @dev Removes a value from a set. O(1).
   *
   * Returns true if the value was removed from the set, that is if it was
   * present.
   */
  function remove(AddressSet storage set, address value) internal returns (bool) {
    return _remove(set._inner, bytes32(uint256(value)));
  }

  /**
   * @dev Returns true if the value is in the set. O(1).
   */
  function contains(AddressSet storage set, address value) internal view returns (bool) {
    return _contains(set._inner, bytes32(uint256(value)));
  }

  /**
   * @dev Returns the number of values in the set. O(1).
   */
  function length(AddressSet storage set) internal view returns (uint256) {
    return _length(set._inner);
  }

  /**
   * @dev Returns the value stored at position `index` in the set. O(1).
   *
   * Note that there are no guarantees on the ordering of values inside the
   * array, and it may change when more values are added or removed.
   *
   * Requirements:
   *
   * - `index` must be strictly less than {length}.
   */
  function at(AddressSet storage set, uint256 index) internal view returns (address) {
    return address(uint256(_at(set._inner, index)));
  }

  /**
   * TODO Might require explicit conversion of bytes32[] to address[].
   *  Might require iteration.
   */
  function getValues( AddressSet storage set_ ) internal view returns ( address[] memory ) {

    address[] memory addressArray;

    for( uint256 iteration_ = 0; _length(set_._inner) >= iteration_; iteration_++ ){
      addressArray[iteration_] = at( set_, iteration_ );
    }

    return addressArray;
  }

  function insert(AddressSet storage set_, uint256 index_, address valueToInsert_ ) internal returns ( bool ) {
    return _insert( set_._inner, index_, bytes32(uint256(valueToInsert_)) );
  }


    // UintSet

    struct UintSet {
        Set _inner;
    }

    /**
     * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
    function add(UintSet storage set, uint256 value) internal returns (bool) {
        return _add(set._inner, bytes32(value));
    }

    /**
     * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
    function remove(UintSet storage set, uint256 value) internal returns (bool) {
        return _remove(set._inner, bytes32(value));
    }

    /**
     * @dev Returns true if the value is in the set. O(1).
     */
    function contains(UintSet storage set, uint256 value) internal view returns (bool) {
        return _contains(set._inner, bytes32(value));
    }

    /**
     * @dev Returns the number of values on the set. O(1).
     */
    function length(UintSet storage set) internal view returns (uint256) {
        return _length(set._inner);
    }

   /**
    * @dev Returns the value stored at position `index` in the set. O(1).
    *
    * Note that there are no guarantees on the ordering of values inside the
    * array, and it may change when more values are added or removed.
    *
    * Requirements:
    *
    * - `index` must be strictly less than {length}.
    */
    function at(UintSet storage set, uint256 index) internal view returns (uint256) {
        return uint256(_at(set._inner, index));
    }

    struct UInt256Set {
        Set _inner;
    }

    /**
     * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
    function add(UInt256Set storage set, uint256 value) internal returns (bool) {
        return _add(set._inner, bytes32(value));
    }

    /**
     * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
    function remove(UInt256Set storage set, uint256 value) internal returns (bool) {
        return _remove(set._inner, bytes32(value));
    }

    /**
     * @dev Returns true if the value is in the set. O(1).
     */
    function contains(UInt256Set storage set, uint256 value) internal view returns (bool) {
        return _contains(set._inner, bytes32(value));
    }

    /**
     * @dev Returns the number of values on the set. O(1).
     */
    function length(UInt256Set storage set) internal view returns (uint256) {
        return _length(set._inner);
    }

    /**
     * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
    function at(UInt256Set storage set, uint256 index) internal view returns (uint256) {
        return uint256(_at(set._inner, index));
    }
}

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);
}

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;
    }

    // babylonian method (https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Babylonian_method)
    function sqrrt(uint256 a) internal pure returns (uint c) {
        if (a > 3) {
            c = a;
            uint b = add( div( a, 2), 1 );
            while (b < c) {
                c = b;
                b = div( add( div( a, b ), b), 2 );
            }
        } else if (a != 0) {
            c = 1;
        }
    }

    /*
     * Expects percentage to be trailed by 00,
    */
    function percentageAmount( uint256 total_, uint8 percentage_ ) internal pure returns ( uint256 percentAmount_ ) {
        return div( mul( total_, percentage_ ), 1000 );
    }

    /*
     * Expects percentage to be trailed by 00,
    */
    function substractPercentage( uint256 total_, uint8 percentageToSub_ ) internal pure returns ( uint256 result_ ) {
        return sub( total_, div( mul( total_, percentageToSub_ ), 1000 ) );
    }

    function percentageOfTotal( uint256 part_, uint256 total_ ) internal pure returns ( uint256 percent_ ) {
        return div( mul(part_, 100) , total_ );
    }

    /**
     * Taken from Hypersonic https://github.com/M2629/HyperSonic/blob/main/Math.sol
     * @dev Returns the average of two numbers. The result is rounded towards
     * zero.
     */
    function average(uint256 a, uint256 b) internal pure returns (uint256) {
        // (a + b) / 2 can overflow, so we distribute
        return (a / 2) + (b / 2) + ((a % 2 + b % 2) / 2);
    }

    function quadraticPricing( uint256 payment_, uint256 multiplier_ ) internal pure returns (uint256) {
        return sqrrt( mul( multiplier_, payment_ ) );
    }

  function bondingCurve( uint256 supply_, uint256 multiplier_ ) internal pure returns (uint256) {
      return mul( multiplier_, supply_ );
  }
}

abstract contract ERC20
  is 
    IERC20
  {

  using SafeMath for uint256;

  // TODO comment actual hash value.
  bytes32 constant private ERC20TOKEN_ERC1820_INTERFACE_ID = keccak256( "ERC20Token" );
    
  // Present in ERC777
  mapping (address => uint256) internal _balances;

  // Present in ERC777
  mapping (address => mapping (address => uint256)) internal _allowances;

  // Present in ERC777
  uint256 internal _totalSupply;

  // Present in ERC777
  string internal _name;
    
  // Present in ERC777
  string internal _symbol;
    
  // Present in ERC777
  uint8 internal _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_, uint8 decimals_) {
    _name = name_;
    _symbol = symbol_;
    _decimals = decimals_;
  }

  /**
   * @dev Returns the name of the token.
   */
  // Present in ERC777
  function name() public view returns (string memory) {
    return _name;
  }

  /**
   * @dev Returns the symbol of the token, usually a shorter version of the
   * name.
   */
  // Present in ERC777
  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}.
   */
  // Present in ERC777
  function decimals() public view returns (uint8) {
    return _decimals;
  }

  /**
   * @dev See {IERC20-totalSupply}.
   */
  // Present in ERC777
  function totalSupply() public view override returns (uint256) {
    return _totalSupply;
  }

  /**
   * @dev See {IERC20-balanceOf}.
   */
  // Present in ERC777
  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`.
   */
  // Overrideen in ERC777
  // Confirm that this behavior changes 
  function transfer(address recipient, uint256 amount) public virtual override returns (bool) {
    _transfer(msg.sender, recipient, amount);
    return true;
  }

    /**
     * @dev See {IERC20-allowance}.
     */
    // Present in ERC777
    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.
     */
    // Present in ERC777
    function approve(address spender, uint256 amount) public virtual override returns (bool) {
        _approve(msg.sender, spender, amount);
        return true;
    }

    /**
     * @dev See {IERC20-transferFrom}.
     *
     * Emits an {Approval} event indicating the updated allowance. This is not
     * required by the EIP. See the note at the beginning of {ERC20}.
     *
     * Requirements:
     *
     * - `sender` and `recipient` cannot be the zero address.
     * - `sender` must have a balance of at least `amount`.
     * - the caller must have allowance for ``sender``'s tokens of at least
     * `amount`.
     */
    // Present in ERC777
    function transferFrom(address sender, address recipient, uint256 amount) public virtual override returns (bool) {
        _transfer(sender, recipient, amount);
        _approve(sender, msg.sender, _allowances[sender][msg.sender].sub(amount, "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(msg.sender, spender, _allowances[msg.sender][spender].add(addedValue));
        return true;
    }

    /**
     * @dev Atomically decreases the allowance granted to `spender` by the caller.
     *
     * This is an alternative to {approve} that can be used as a mitigation for
     * problems described in {IERC20-approve}.
     *
     * Emits an {Approval} event indicating the updated allowance.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     * - `spender` must have allowance for the caller of at least
     * `subtractedValue`.
     */
    function decreaseAllowance(address spender, uint256 subtractedValue) public virtual returns (bool) {
        _approve(msg.sender, spender, _allowances[msg.sender][spender].sub(subtractedValue, "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.
     */
    // Present in ERC777
    function _mint(address account_, uint256 amount_) internal virtual {
        require(account_ != address(0), "ERC20: mint to the zero address");
        _beforeTokenTransfer(address( this ), account_, amount_);
        _totalSupply = _totalSupply.add(amount_);
        _balances[account_] = _balances[account_].add(amount_);
        emit Transfer(address( this ), 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.
     */
    // Present in ERC777
    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.
     */
    // Present in ERC777
    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.
     */
    // Considering deprication to reduce size of bytecode as changing _decimals to internal acheived the same functionality.
    // 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].
   */
  // Present in ERC777
  function _beforeTokenTransfer( address from_, address to_, uint256 amount_ ) internal virtual { }
}

library Counters {
    using SafeMath for uint256;

    struct Counter {
        // This variable should never be directly accessed by users of the library: interactions must be restricted to
        // the library's function. As of Solidity v0.5.2, this cannot be enforced, though there is a proposal to add
        // this feature: see https://github.com/ethereum/solidity/issues/4637
        uint256 _value; // default: 0
    }

    function current(Counter storage counter) internal view returns (uint256) {
        return counter._value;
    }

    function increment(Counter storage counter) internal {
        // The {SafeMath} overflow check can be skipped here, see the comment at the top
        counter._value += 1;
    }

    function decrement(Counter storage counter) internal {
        counter._value = counter._value.sub(1);
    }
}

interface IERC2612Permit {
    /**
     * @dev Sets `amount` as the allowance of `spender` over `owner`'s tokens,
     * given `owner`'s signed approval.
     *
     * IMPORTANT: The same issues {IERC20-approve} has related to transaction
     * ordering also apply here.
     *
     * Emits an {Approval} event.
     *
     * Requirements:
     *
     * - `owner` cannot be the zero address.
     * - `spender` cannot be the zero address.
     * - `deadline` must be a timestamp in the future.
     * - `v`, `r` and `s` must be a valid `secp256k1` signature from `owner`
     * over the EIP712-formatted function arguments.
     * - the signature must use ``owner``'s current nonce (see {nonces}).
     *
     * For more information on the signature format, see the
     * https://eips.ethereum.org/EIPS/eip-2612#specification[relevant EIP
     * section].
     */
    function permit(
        address owner,
        address spender,
        uint256 amount,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) external;

    /**
     * @dev Returns the current ERC2612 nonce for `owner`. This value must be
     * included whenever a signature is generated for {permit}.
     *
     * Every successful call to {permit} increases ``owner``'s nonce by one. This
     * prevents a signature from being used multiple times.
     */
    function nonces(address owner) external view returns (uint256);
}

abstract contract ERC20Permit is ERC20, IERC2612Permit {
    using Counters for Counters.Counter;

    mapping(address => Counters.Counter) private _nonces;

    // keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)");
    bytes32 public constant PERMIT_TYPEHASH = 0x6e71edae12b1b97f4d1f60370fef10105fa2faae0126114a169c64845d6126c9;

    bytes32 public DOMAIN_SEPARATOR;

    constructor() {
        uint256 chainID;
        assembly {
            chainID := chainid()
        }

        DOMAIN_SEPARATOR = keccak256(
            abi.encode(
                keccak256("EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)"),
                keccak256(bytes(name())),
                keccak256(bytes("1")), // Version
                chainID,
                address(this)
            )
        );
    }

    /**
     * @dev See {IERC2612Permit-permit}.
     *
     */
    function permit(
        address owner,
        address spender,
        uint256 amount,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) public virtual override {
        require(block.timestamp <= deadline, "Permit: expired deadline");

        bytes32 hashStruct =
            keccak256(abi.encode(PERMIT_TYPEHASH, owner, spender, amount, _nonces[owner].current(), deadline));

        bytes32 _hash = keccak256(abi.encodePacked(uint16(0x1901), DOMAIN_SEPARATOR, hashStruct));

        address signer = ecrecover(_hash, v, r, s);
        require(signer != address(0) && signer == owner, "ZeroSwapPermit: Invalid signature");

        _nonces[owner].increment();
        _approve(owner, spender, amount);
    }

    /**
     * @dev See {IERC2612Permit-nonces}.
     */
    function nonces(address owner) public view override returns (uint256) {
        return _nonces[owner].current();
    }
}

interface IOwnable {

  function owner() external view returns (address);

  function renounceOwnership() external;
  
  function transferOwnership( address newOwner_ ) external;
}

contract Ownable is IOwnable {
    
  address internal _owner;

  event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);

  /**
   * @dev Initializes the contract setting the deployer as the initial owner.
   */
  constructor () {
    _owner = msg.sender;
    emit OwnershipTransferred( address(0), _owner );
  }

  /**
   * @dev Returns the address of the current owner.
   */
  function owner() public view override returns (address) {
    return _owner;
  }

  /**
   * @dev Throws if called by any account other than the owner.
   */
  modifier onlyOwner() {
    require( _owner == msg.sender, "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 override 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 override onlyOwner() {
    require( newOwner_ != address(0), "Ownable: new owner is the zero address");
    emit OwnershipTransferred( _owner, newOwner_ );
    _owner = newOwner_;
  }
}

contract VaultOwned is Ownable {
    
  address internal _vault;

  function setVault( address vault_ ) external onlyOwner() returns ( bool ) {
    _vault = vault_;

    return true;
  }

  /**
   * @dev Returns the address of the current vault.
   */
  function vault() public view returns (address) {
    return _vault;
  }

  /**
   * @dev Throws if called by any account other than the vault.
   */
  modifier onlyVault() {
    require( _vault == msg.sender, "VaultOwned: caller is not the Vault" );
    _;
  }

}

contract TWAPOracleUpdater is ERC20Permit, VaultOwned {

  using EnumerableSet for EnumerableSet.AddressSet;

  event TWAPOracleChanged( address indexed previousTWAPOracle, address indexed newTWAPOracle );
  event TWAPEpochChanged( uint previousTWAPEpochPeriod, uint newTWAPEpochPeriod );
  event TWAPSourceAdded( address indexed newTWAPSource );
  event TWAPSourceRemoved( address indexed removedTWAPSource );
    
  EnumerableSet.AddressSet private _dexPoolsTWAPSources;

  ITWAPOracle public twapOracle;

  uint public twapEpochPeriod;

  constructor(
        string memory name_,
        string memory symbol_,
        uint8 decimals_
    ) ERC20(name_, symbol_, decimals_) {
    }

  function changeTWAPOracle( address newTWAPOracle_ ) external onlyOwner() {
    emit TWAPOracleChanged( address(twapOracle), newTWAPOracle_);
    twapOracle = ITWAPOracle( newTWAPOracle_ );
  }

  function changeTWAPEpochPeriod( uint newTWAPEpochPeriod_ ) external onlyOwner() {
    require( newTWAPEpochPeriod_ > 0, "TWAPOracleUpdater: TWAP Epoch period must be greater than 0." );
    emit TWAPEpochChanged( twapEpochPeriod, newTWAPEpochPeriod_ );
    twapEpochPeriod = newTWAPEpochPeriod_;
  }

  function addTWAPSource( address newTWAPSourceDexPool_ ) external onlyOwner() {
    require( _dexPoolsTWAPSources.add( newTWAPSourceDexPool_ ), "OlympusERC20TOken: TWAP Source already stored." );
    emit TWAPSourceAdded( newTWAPSourceDexPool_ );
  }

  function removeTWAPSource( address twapSourceToRemove_ ) external onlyOwner() {
    require( _dexPoolsTWAPSources.remove( twapSourceToRemove_ ), "OlympusERC20TOken: TWAP source not present." );
    emit TWAPSourceRemoved( twapSourceToRemove_ );
  }

  function _uodateTWAPOracle( address dexPoolToUpdateFrom_, uint twapEpochPeriodToUpdate_ ) internal {
    if ( _dexPoolsTWAPSources.contains( dexPoolToUpdateFrom_ )) {
      twapOracle.updateTWAP( dexPoolToUpdateFrom_, twapEpochPeriodToUpdate_ );
    }
  }

  function _beforeTokenTransfer( address from_, address to_, uint256 amount_ ) internal override virtual {
      if( _dexPoolsTWAPSources.contains( from_ ) ) {
        _uodateTWAPOracle( from_, twapEpochPeriod );
      } else {
        if ( _dexPoolsTWAPSources.contains( to_ ) ) {
          _uodateTWAPOracle( to_, twapEpochPeriod );
        }
      }
    }
}

contract Divine is TWAPOracleUpdater {
  constructor(
    string memory name_,
    string memory symbol_,
    uint8 decimals_
  ) TWAPOracleUpdater(name_, symbol_, decimals_) {
  }
}

contract OlympusERC20Token is Divine {

  using SafeMath for uint256;

    constructor() Divine("Olympus", "OHM", 9) {
    }

    function mint(address account_, uint256 amount_) external onlyVault() {
        _mint(account_, amount_);
    }

    /**
     * @dev Destroys `amount` tokens from the caller.
     *
     * See {ERC20-_burn}.
     */
    function burn(uint256 amount) public virtual {
        _burn(msg.sender, amount);
    }

    // function _beforeTokenTransfer( address from_, address to_, uint256 amount_ ) internal override virtual {
    //   if( _dexPoolsTWAPSources.contains( from_ ) ) {
    //     _uodateTWAPOracle( from_, twapEpochPeriod );
    //   } else {
    //     if ( _dexPoolsTWAPSources.contains( to_ ) ) {
    //       _uodateTWAPOracle( to_, twapEpochPeriod );
    //     }
    //   }
    // }

    /*
     * @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 {
        _burnFrom(account_, amount_);
    }

    function _burnFrom(address account_, uint256 amount_) public virtual {
        uint256 decreasedAllowance_ =
            allowance(account_, msg.sender).sub(
                amount_,
                "ERC20: burn amount exceeds allowance"
            );

        _approve(account_, msg.sender, decreasedAllowance_);
        _burn(account_, amount_);
    }
}