/**
 *Submitted for verification at Etherscan.io on 2020-11-28
*/

pragma solidity ^0.5.17;
pragma experimental ABIEncoderV2;


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.
     *
     * _Available since v2.4.0._
     */
    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.
     *
     * _Available since v2.4.0._
     */
    function div(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        // Solidity only automatically asserts when dividing by 0
        require(b > 0, errorMessage);
        uint256 c = a / b;
        // assert(a == b * c + a % b); // There is no case in which this doesn't hold

        return c;
    }

    /**
     * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
     * Reverts when dividing by zero.
     *
     * Counterpart to Solidity's `%` operator. This function uses a `revert`
     * opcode (which leaves remaining gas untouched) while Solidity uses an
     * invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     * - The divisor cannot be zero.
     */
    function mod(uint256 a, uint256 b) internal pure returns (uint256) {
        return mod(a, b, "SafeMath: modulo by zero");
    }

    /**
     * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
     * Reverts with custom message when dividing by zero.
     *
     * Counterpart to Solidity's `%` operator. This function uses a `revert`
     * opcode (which leaves remaining gas untouched) while Solidity uses an
     * invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     * - The divisor cannot be zero.
     *
     * _Available since v2.4.0._
     */
    function mod(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b != 0, errorMessage);
        return a % b;
    }
}

/*
    Copyright 2019 dYdX Trading Inc.
    Copyright 2020 Dynamic Dollar Devs, based on the works of the Empty Set Squad

    Licensed under the Apache License, Version 2.0 (the "License");
    you may not use this file except in compliance with the License.
    You may obtain a copy of the License at

    http://www.apache.org/licenses/LICENSE-2.0

    Unless required by applicable law or agreed to in writing, software
    distributed under the License is distributed on an "AS IS" BASIS,
    WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
    See the License for the specific language governing permissions and
    limitations under the License.
*/
/**
 * @title Decimal
 * @author dYdX
 *
 * Library that defines a fixed-point number with 18 decimal places.
 */
library Decimal {
    using SafeMath for uint256;

    // ============ Constants ============

    uint256 constant BASE = 10**18;

    // ============ Structs ============


    struct D256 {
        uint256 value;
    }

    // ============ Static Functions ============

    function zero()
    internal
    pure
    returns (D256 memory)
    {
        return D256({ value: 0 });
    }

    function one()
    internal
    pure
    returns (D256 memory)
    {
        return D256({ value: BASE });
    }

    function from(
        uint256 a
    )
    internal
    pure
    returns (D256 memory)
    {
        return D256({ value: a.mul(BASE) });
    }

    function ratio(
        uint256 a,
        uint256 b
    )
    internal
    pure
    returns (D256 memory)
    {
        return D256({ value: getPartial(a, BASE, b) });
    }

    // ============ Self Functions ============

    function add(
        D256 memory self,
        uint256 b
    )
    internal
    pure
    returns (D256 memory)
    {
        return D256({ value: self.value.add(b.mul(BASE)) });
    }

    function sub(
        D256 memory self,
        uint256 b
    )
    internal
    pure
    returns (D256 memory)
    {
        return D256({ value: self.value.sub(b.mul(BASE)) });
    }

    function sub(
        D256 memory self,
        uint256 b,
        string memory reason
    )
    internal
    pure
    returns (D256 memory)
    {
        return D256({ value: self.value.sub(b.mul(BASE), reason) });
    }

    function mul(
        D256 memory self,
        uint256 b
    )
    internal
    pure
    returns (D256 memory)
    {
        return D256({ value: self.value.mul(b) });
    }

    function div(
        D256 memory self,
        uint256 b
    )
    internal
    pure
    returns (D256 memory)
    {
        return D256({ value: self.value.div(b) });
    }

    function pow(
        D256 memory self,
        uint256 b
    )
    internal
    pure
    returns (D256 memory)
    {
        if (b == 0) {
            return from(1);
        }

        D256 memory temp = D256({ value: self.value });
        for (uint256 i = 1; i < b; i++) {
            temp = mul(temp, self);
        }

        return temp;
    }

    function add(
        D256 memory self,
        D256 memory b
    )
    internal
    pure
    returns (D256 memory)
    {
        return D256({ value: self.value.add(b.value) });
    }

    function sub(
        D256 memory self,
        D256 memory b
    )
    internal
    pure
    returns (D256 memory)
    {
        return D256({ value: self.value.sub(b.value) });
    }

    function sub(
        D256 memory self,
        D256 memory b,
        string memory reason
    )
    internal
    pure
    returns (D256 memory)
    {
        return D256({ value: self.value.sub(b.value, reason) });
    }

    function mul(
        D256 memory self,
        D256 memory b
    )
    internal
    pure
    returns (D256 memory)
    {
        return D256({ value: getPartial(self.value, b.value, BASE) });
    }

    function div(
        D256 memory self,
        D256 memory b
    )
    internal
    pure
    returns (D256 memory)
    {
        return D256({ value: getPartial(self.value, BASE, b.value) });
    }

    function equals(D256 memory self, D256 memory b) internal pure returns (bool) {
        return self.value == b.value;
    }

    function greaterThan(D256 memory self, D256 memory b) internal pure returns (bool) {
        return compareTo(self, b) == 2;
    }

    function lessThan(D256 memory self, D256 memory b) internal pure returns (bool) {
        return compareTo(self, b) == 0;
    }

    function greaterThanOrEqualTo(D256 memory self, D256 memory b) internal pure returns (bool) {
        return compareTo(self, b) > 0;
    }

    function lessThanOrEqualTo(D256 memory self, D256 memory b) internal pure returns (bool) {
        return compareTo(self, b) < 2;
    }

    function isZero(D256 memory self) internal pure returns (bool) {
        return self.value == 0;
    }

    function asUint256(D256 memory self) internal pure returns (uint256) {
        return self.value.div(BASE);
    }

    // ============ Core Methods ============

    function getPartial(
        uint256 target,
        uint256 numerator,
        uint256 denominator
    )
    private
    pure
    returns (uint256)
    {
        return target.mul(numerator).div(denominator);
    }

    function compareTo(
        D256 memory a,
        D256 memory b
    )
    private
    pure
    returns (uint256)
    {
        if (a.value == b.value) {
            return 1;
        }
        return a.value > b.value ? 2 : 0;
    }
}

/*
 * @dev Provides information about the current execution context, including the
 * sender of the transaction and its data. While these are generally available
 * via msg.sender and msg.data, they should not be accessed in such a direct
 * manner, since when dealing with GSN meta-transactions the account sending and
 * paying for execution may not be the actual sender (as far as an application
 * is concerned).
 *
 * This contract is only required for intermediate, library-like contracts.
 */
contract Context {
    // Empty internal constructor, to prevent people from mistakenly deploying
    // an instance of this contract, which should be used via inheritance.
    constructor () internal { }
    // solhint-disable-previous-line no-empty-blocks

    function _msgSender() internal view returns (address payable) {
        return msg.sender;
    }

    function _msgData() internal view returns (bytes memory) {
        this; // silence state mutability warning without generating bytecode - see https://github.com/ethereum/solidity/issues/2691
        return msg.data;
    }
}

/**
 * @dev Interface of the ERC20 standard as defined in the EIP. Does not include
 * the optional functions; to access them see {ERC20Detailed}.
 */
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.
 */

/**
 * @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 {ERC20Mintable}.
 *
 * TIP: For a detailed writeup see our guide
 * https://forum.zeppelin.solutions/t/how-to-implement-erc20-supply-mechanisms/226[How
 * to implement supply mechanisms].
 *
 * We have followed general OpenZeppelin guidelines: functions revert instead
 * of returning `false` on failure. This behavior is nonetheless conventional
 * and does not conflict with the expectations of ERC20 applications.
 *
 * Additionally, an {Approval} event is emitted on calls to {transferFrom}.
 * This allows applications to reconstruct the allowance for all accounts just
 * by listening to said events. Other implementations of the EIP may not emit
 * these events, as it isn't required by the specification.
 *
 * Finally, the non-standard {decreaseAllowance} and {increaseAllowance}
 * functions have been added to mitigate the well-known issues around setting
 * allowances. See {IERC20-approve}.
 */
contract ERC20 is Context, IERC20 {
    using SafeMath for uint256;

    mapping (address => uint256) private _balances;

    mapping (address => mapping (address => uint256)) private _allowances;

    uint256 private _totalSupply;

    /**
     * @dev See {IERC20-totalSupply}.
     */
    function totalSupply() public view returns (uint256) {
        return _totalSupply;
    }

    /**
     * @dev See {IERC20-balanceOf}.
     */
    function balanceOf(address account) public view 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 returns (bool) {
        _transfer(_msgSender(), recipient, amount);
        return true;
    }

    /**
     * @dev See {IERC20-allowance}.
     */
    function allowance(address owner, address spender) public view returns (uint256) {
        return _allowances[owner][spender];
    }

    /**
     * @dev See {IERC20-approve}.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     */
    function approve(address spender, uint256 amount) public returns (bool) {
        _approve(_msgSender(), spender, amount);
        return true;
    }

    /**
     * @dev See {IERC20-transferFrom}.
     *
     * Emits an {Approval} event indicating the updated allowance. This is not
     * required by the EIP. See the note at the beginning of {ERC20};
     *
     * Requirements:
     * - `sender` and `recipient` cannot be the zero address.
     * - `sender` must have a balance of at least `amount`.
     * - the caller must have allowance for `sender`'s tokens of at least
     * `amount`.
     */
    function transferFrom(address sender, address recipient, uint256 amount) public returns (bool) {
        _transfer(sender, recipient, amount);
        _approve(sender, _msgSender(), _allowances[sender][_msgSender()].sub(amount, "ERC20: transfer amount exceeds allowance"));
        return true;
    }

    /**
     * @dev Atomically increases the allowance granted to `spender` by the caller.
     *
     * This is an alternative to {approve} that can be used as a mitigation for
     * problems described in {IERC20-approve}.
     *
     * Emits an {Approval} event indicating the updated allowance.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     */
    function increaseAllowance(address spender, uint256 addedValue) public returns (bool) {
        _approve(_msgSender(), spender, _allowances[_msgSender()][spender].add(addedValue));
        return true;
    }

    /**
     * @dev Atomically decreases the allowance granted to `spender` by the caller.
     *
     * This is an alternative to {approve} that can be used as a mitigation for
     * problems described in {IERC20-approve}.
     *
     * Emits an {Approval} event indicating the updated allowance.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     * - `spender` must have allowance for the caller of at least
     * `subtractedValue`.
     */
    function decreaseAllowance(address spender, uint256 subtractedValue) public returns (bool) {
        _approve(_msgSender(), spender, _allowances[_msgSender()][spender].sub(subtractedValue, "ERC20: decreased allowance below zero"));
        return true;
    }

    /**
     * @dev Moves tokens `amount` from `sender` to `recipient`.
     *
     * This is internal function is equivalent to {transfer}, and can be used to
     * e.g. implement automatic token fees, slashing mechanisms, etc.
     *
     * Emits a {Transfer} event.
     *
     * Requirements:
     *
     * - `sender` cannot be the zero address.
     * - `recipient` cannot be the zero address.
     * - `sender` must have a balance of at least `amount`.
     */
    function _transfer(address sender, address recipient, uint256 amount) internal {
        require(sender != address(0), "ERC20: transfer from the zero address");
        require(recipient != address(0), "ERC20: transfer to the zero address");

        _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 {
        require(account != address(0), "ERC20: mint to the zero address");

        _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 {
        require(account != address(0), "ERC20: burn from the zero address");

        _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 is 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 {
        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 Destroys `amount` tokens from `account`.`amount` is then deducted
     * from the caller's allowance.
     *
     * See {_burn} and {_approve}.
     */
    function _burnFrom(address account, uint256 amount) internal {
        _burn(account, amount);
        _approve(account, _msgSender(), _allowances[account][_msgSender()].sub(amount, "ERC20: burn amount exceeds allowance"));
    }
}

/**
 * @dev Extension of {ERC20} that allows token holders to destroy both their own
 * tokens and those that they have an allowance for, in a way that can be
 * recognized off-chain (via event analysis).
 */
contract ERC20Burnable is Context, ERC20 {
    /**
     * @dev Destroys `amount` tokens from the caller.
     *
     * See {ERC20-_burn}.
     */
    function burn(uint256 amount) public {
        _burn(_msgSender(), amount);
    }

    /**
     * @dev See {ERC20-_burnFrom}.
     */
    function burnFrom(address account, uint256 amount) public {
        _burnFrom(account, amount);
    }
}

/**
 * @dev Optional functions from the ERC20 standard.
 */
contract ERC20Detailed is IERC20 {
    string private _name;
    string private _symbol;
    uint8 private _decimals;

    /**
     * @dev Sets the values for `name`, `symbol`, and `decimals`. All three of
     * these values are immutable: they can only be set once during
     * construction.
     */
    constructor (string memory name, string memory symbol, uint8 decimals) public {
        _name = name;
        _symbol = symbol;
        _decimals = decimals;
    }

    /**
     * @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.
     *
     * 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;
    }
}

/**
 * @title Roles
 * @dev Library for managing addresses assigned to a Role.
 */
library Roles {
    struct Role {
        mapping (address => bool) bearer;
    }

    /**
     * @dev Give an account access to this role.
     */
    function add(Role storage role, address account) internal {
        require(!has(role, account), "Roles: account already has role");
        role.bearer[account] = true;
    }

    /**
     * @dev Remove an account's access to this role.
     */
    function remove(Role storage role, address account) internal {
        require(has(role, account), "Roles: account does not have role");
        role.bearer[account] = false;
    }

    /**
     * @dev Check if an account has this role.
     * @return bool
     */
    function has(Role storage role, address account) internal view returns (bool) {
        require(account != address(0), "Roles: account is the zero address");
        return role.bearer[account];
    }
}

contract MinterRole is Context {
    using Roles for Roles.Role;

    event MinterAdded(address indexed account);
    event MinterRemoved(address indexed account);

    Roles.Role private _minters;

    constructor () internal {
        _addMinter(_msgSender());
    }

    modifier onlyMinter() {
        require(isMinter(_msgSender()), "MinterRole: caller does not have the Minter role");
        _;
    }

    function isMinter(address account) public view returns (bool) {
        return _minters.has(account);
    }

    function addMinter(address account) public onlyMinter {
        _addMinter(account);
    }

    function renounceMinter() public {
        _removeMinter(_msgSender());
    }

    function _addMinter(address account) internal {
        _minters.add(account);
        emit MinterAdded(account);
    }

    function _removeMinter(address account) internal {
        _minters.remove(account);
        emit MinterRemoved(account);
    }
}

/*
    Copyright 2019 dYdX Trading Inc.

    Licensed under the Apache License, Version 2.0 (the "License");
    you may not use this file except in compliance with the License.
    You may obtain a copy of the License at

    http://www.apache.org/licenses/LICENSE-2.0

    Unless required by applicable law or agreed to in writing, software
    distributed under the License is distributed on an "AS IS" BASIS,
    WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
    See the License for the specific language governing permissions and
    limitations under the License.
*/
/**
 * @title Require
 * @author dYdX
 *
 * Stringifies parameters to pretty-print revert messages. Costs more gas than regular require()
 */
library Require {

    // ============ Constants ============

    uint256 constant ASCII_ZERO = 48; // '0'
    uint256 constant ASCII_RELATIVE_ZERO = 87; // 'a' - 10
    uint256 constant ASCII_LOWER_EX = 120; // 'x'
    bytes2 constant COLON = 0x3a20; // ': '
    bytes2 constant COMMA = 0x2c20; // ', '
    bytes2 constant LPAREN = 0x203c; // ' <'
    byte constant RPAREN = 0x3e; // '>'
    uint256 constant FOUR_BIT_MASK = 0xf;

    // ============ Library Functions ============

    function that(
        bool must,
        bytes32 file,
        bytes32 reason
    )
    internal
    pure
    {
        if (!must) {
            revert(
                string(
                    abi.encodePacked(
                        stringifyTruncated(file),
                        COLON,
                        stringifyTruncated(reason)
                    )
                )
            );
        }
    }

    function that(
        bool must,
        bytes32 file,
        bytes32 reason,
        uint256 payloadA
    )
    internal
    pure
    {
        if (!must) {
            revert(
                string(
                    abi.encodePacked(
                        stringifyTruncated(file),
                        COLON,
                        stringifyTruncated(reason),
                        LPAREN,
                        stringify(payloadA),
                        RPAREN
                    )
                )
            );
        }
    }

    function that(
        bool must,
        bytes32 file,
        bytes32 reason,
        uint256 payloadA,
        uint256 payloadB
    )
    internal
    pure
    {
        if (!must) {
            revert(
                string(
                    abi.encodePacked(
                        stringifyTruncated(file),
                        COLON,
                        stringifyTruncated(reason),
                        LPAREN,
                        stringify(payloadA),
                        COMMA,
                        stringify(payloadB),
                        RPAREN
                    )
                )
            );
        }
    }

    function that(
        bool must,
        bytes32 file,
        bytes32 reason,
        address payloadA
    )
    internal
    pure
    {
        if (!must) {
            revert(
                string(
                    abi.encodePacked(
                        stringifyTruncated(file),
                        COLON,
                        stringifyTruncated(reason),
                        LPAREN,
                        stringify(payloadA),
                        RPAREN
                    )
                )
            );
        }
    }

    function that(
        bool must,
        bytes32 file,
        bytes32 reason,
        address payloadA,
        uint256 payloadB
    )
    internal
    pure
    {
        if (!must) {
            revert(
                string(
                    abi.encodePacked(
                        stringifyTruncated(file),
                        COLON,
                        stringifyTruncated(reason),
                        LPAREN,
                        stringify(payloadA),
                        COMMA,
                        stringify(payloadB),
                        RPAREN
                    )
                )
            );
        }
    }

    function that(
        bool must,
        bytes32 file,
        bytes32 reason,
        address payloadA,
        uint256 payloadB,
        uint256 payloadC
    )
    internal
    pure
    {
        if (!must) {
            revert(
                string(
                    abi.encodePacked(
                        stringifyTruncated(file),
                        COLON,
                        stringifyTruncated(reason),
                        LPAREN,
                        stringify(payloadA),
                        COMMA,
                        stringify(payloadB),
                        COMMA,
                        stringify(payloadC),
                        RPAREN
                    )
                )
            );
        }
    }

    function that(
        bool must,
        bytes32 file,
        bytes32 reason,
        bytes32 payloadA
    )
    internal
    pure
    {
        if (!must) {
            revert(
                string(
                    abi.encodePacked(
                        stringifyTruncated(file),
                        COLON,
                        stringifyTruncated(reason),
                        LPAREN,
                        stringify(payloadA),
                        RPAREN
                    )
                )
            );
        }
    }

    function that(
        bool must,
        bytes32 file,
        bytes32 reason,
        bytes32 payloadA,
        uint256 payloadB,
        uint256 payloadC
    )
    internal
    pure
    {
        if (!must) {
            revert(
                string(
                    abi.encodePacked(
                        stringifyTruncated(file),
                        COLON,
                        stringifyTruncated(reason),
                        LPAREN,
                        stringify(payloadA),
                        COMMA,
                        stringify(payloadB),
                        COMMA,
                        stringify(payloadC),
                        RPAREN
                    )
                )
            );
        }
    }

    // ============ Private Functions ============

    function stringifyTruncated(
        bytes32 input
    )
    private
    pure
    returns (bytes memory)
    {
        // put the input bytes into the result
        bytes memory result = abi.encodePacked(input);

        // determine the length of the input by finding the location of the last non-zero byte
        for (uint256 i = 32; i > 0; ) {
            // reverse-for-loops with unsigned integer
            /* solium-disable-next-line security/no-modify-for-iter-var */
            i--;

            // find the last non-zero byte in order to determine the length
            if (result[i] != 0) {
                uint256 length = i + 1;

                /* solium-disable-next-line security/no-inline-assembly */
                assembly {
                    mstore(result, length) // r.length = length;
                }

                return result;
            }
        }

        // all bytes are zero
        return new bytes(0);
    }

    function stringify(
        uint256 input
    )
    private
    pure
    returns (bytes memory)
    {
        if (input == 0) {
            return "0";
        }

        // get the final string length
        uint256 j = input;
        uint256 length;
        while (j != 0) {
            length++;
            j /= 10;
        }

        // allocate the string
        bytes memory bstr = new bytes(length);

        // populate the string starting with the least-significant character
        j = input;
        for (uint256 i = length; i > 0; ) {
            // reverse-for-loops with unsigned integer
            /* solium-disable-next-line security/no-modify-for-iter-var */
            i--;

            // take last decimal digit
            bstr[i] = byte(uint8(ASCII_ZERO + (j % 10)));

            // remove the last decimal digit
            j /= 10;
        }

        return bstr;
    }

    function stringify(
        address input
    )
    private
    pure
    returns (bytes memory)
    {
        uint256 z = uint256(input);

        // addresses are "0x" followed by 20 bytes of data which take up 2 characters each
        bytes memory result = new bytes(42);

        // populate the result with "0x"
        result[0] = byte(uint8(ASCII_ZERO));
        result[1] = byte(uint8(ASCII_LOWER_EX));

        // for each byte (starting from the lowest byte), populate the result with two characters
        for (uint256 i = 0; i < 20; i++) {
            // each byte takes two characters
            uint256 shift = i * 2;

            // populate the least-significant character
            result[41 - shift] = char(z & FOUR_BIT_MASK);
            z = z >> 4;

            // populate the most-significant character
            result[40 - shift] = char(z & FOUR_BIT_MASK);
            z = z >> 4;
        }

        return result;
    }

    function stringify(
        bytes32 input
    )
    private
    pure
    returns (bytes memory)
    {
        uint256 z = uint256(input);

        // bytes32 are "0x" followed by 32 bytes of data which take up 2 characters each
        bytes memory result = new bytes(66);

        // populate the result with "0x"
        result[0] = byte(uint8(ASCII_ZERO));
        result[1] = byte(uint8(ASCII_LOWER_EX));

        // for each byte (starting from the lowest byte), populate the result with two characters
        for (uint256 i = 0; i < 32; i++) {
            // each byte takes two characters
            uint256 shift = i * 2;

            // populate the least-significant character
            result[65 - shift] = char(z & FOUR_BIT_MASK);
            z = z >> 4;

            // populate the most-significant character
            result[64 - shift] = char(z & FOUR_BIT_MASK);
            z = z >> 4;
        }

        return result;
    }

    function char(
        uint256 input
    )
    private
    pure
    returns (byte)
    {
        // return ASCII digit (0-9)
        if (input < 10) {
            return byte(uint8(input + ASCII_ZERO));
        }

        // return ASCII letter (a-f)
        return byte(uint8(input + ASCII_RELATIVE_ZERO));
    }
}

/*
    Copyright 2019 ZeroEx Intl.

    Licensed under the Apache License, Version 2.0 (the "License");
    you may not use this file except in compliance with the License.
    You may obtain a copy of the License at

    http://www.apache.org/licenses/LICENSE-2.0

    Unless required by applicable law or agreed to in writing, software
    distributed under the License is distributed on an "AS IS" BASIS,
    WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
    See the License for the specific language governing permissions and
    limitations under the License.
*/
library LibEIP712 {

    // Hash of the EIP712 Domain Separator Schema
    // keccak256(abi.encodePacked(
    //     "EIP712Domain(",
    //     "string name,",
    //     "string version,",
    //     "uint256 chainId,",
    //     "address verifyingContract",
    //     ")"
    // ))
    bytes32 constant internal _EIP712_DOMAIN_SEPARATOR_SCHEMA_HASH = 0x8b73c3c69bb8fe3d512ecc4cf759cc79239f7b179b0ffacaa9a75d522b39400f;

    /// @dev Calculates a EIP712 domain separator.
    /// @param name The EIP712 domain name.
    /// @param version The EIP712 domain version.
    /// @param verifyingContract The EIP712 verifying contract.
    /// @return EIP712 domain separator.
    function hashEIP712Domain(
        string memory name,
        string memory version,
        uint256 chainId,
        address verifyingContract
    )
    internal
    pure
    returns (bytes32 result)
    {
        bytes32 schemaHash = _EIP712_DOMAIN_SEPARATOR_SCHEMA_HASH;

        // Assembly for more efficient computing:
        // keccak256(abi.encodePacked(
        //     _EIP712_DOMAIN_SEPARATOR_SCHEMA_HASH,
        //     keccak256(bytes(name)),
        //     keccak256(bytes(version)),
        //     chainId,
        //     uint256(verifyingContract)
        // ))

        assembly {
        // Calculate hashes of dynamic data
            let nameHash := keccak256(add(name, 32), mload(name))
            let versionHash := keccak256(add(version, 32), mload(version))

        // Load free memory pointer
            let memPtr := mload(64)

        // Store params in memory
            mstore(memPtr, schemaHash)
            mstore(add(memPtr, 32), nameHash)
            mstore(add(memPtr, 64), versionHash)
            mstore(add(memPtr, 96), chainId)
            mstore(add(memPtr, 128), verifyingContract)

        // Compute hash
            result := keccak256(memPtr, 160)
        }
        return result;
    }

    /// @dev Calculates EIP712 encoding for a hash struct with a given domain hash.
    /// @param eip712DomainHash Hash of the domain domain separator data, computed
    ///                         with getDomainHash().
    /// @param hashStruct The EIP712 hash struct.
    /// @return EIP712 hash applied to the given EIP712 Domain.
    function hashEIP712Message(bytes32 eip712DomainHash, bytes32 hashStruct)
    internal
    pure
    returns (bytes32 result)
    {
        // Assembly for more efficient computing:
        // keccak256(abi.encodePacked(
        //     EIP191_HEADER,
        //     EIP712_DOMAIN_HASH,
        //     hashStruct
        // ));

        assembly {
        // Load free memory pointer
            let memPtr := mload(64)

            mstore(memPtr, 0x1901000000000000000000000000000000000000000000000000000000000000)  // EIP191 header
            mstore(add(memPtr, 2), eip712DomainHash)                                            // EIP712 domain hash
            mstore(add(memPtr, 34), hashStruct)                                                 // Hash of struct

        // Compute hash
            result := keccak256(memPtr, 66)
        }
        return result;
    }
}

/*
    Copyright 2020 Dynamic Dollar Devs, based on the works of the Empty Set Squad

    Licensed under the Apache License, Version 2.0 (the "License");
    you may not use this file except in compliance with the License.
    You may obtain a copy of the License at

    http://www.apache.org/licenses/LICENSE-2.0

    Unless required by applicable law or agreed to in writing, software
    distributed under the License is distributed on an "AS IS" BASIS,
    WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
    See the License for the specific language governing permissions and
    limitations under the License.
*/
library Constants {
    /* Chain */
    uint256 private constant CHAIN_ID = 1; // Mainnet

    /* Bootstrapping */
    uint256 private constant BOOTSTRAPPING_PERIOD = 150; // 150 epochs
    uint256 private constant BOOTSTRAPPING_PRICE = 154e16; // 1.54 USDC (targeting 4.5% inflation)

    /* Oracle */
    address private constant USDC = address(0xA0b86991c6218b36c1d19D4a2e9Eb0cE3606eB48);
    uint256 private constant ORACLE_RESERVE_MINIMUM = 1e10; // 10,000 USDC

    /* Bonding */
    uint256 private constant INITIAL_STAKE_MULTIPLE = 1e6; // 100 DSD -> 100M DSDS

    /* Epoch */
    struct EpochStrategy {
        uint256 offset;
        uint256 start;
        uint256 period;
    }

    uint256 private constant EPOCH_OFFSET = 0;
    uint256 private constant EPOCH_START = 1606348800;
    uint256 private constant EPOCH_PERIOD = 7200;

    /* Governance */
    uint256 private constant GOVERNANCE_PERIOD = 36;
    uint256 private constant GOVERNANCE_QUORUM = 33e16; // 33%
    uint256 private constant GOVERNANCE_SUPER_MAJORITY = 66e16; // 66%
    uint256 private constant GOVERNANCE_EMERGENCY_DELAY = 6; // 6 epochs

    /* DAO */
    uint256 private constant ADVANCE_INCENTIVE = 1e20; // 100 DSD
    uint256 private constant DAO_EXIT_LOCKUP_EPOCHS = 36; // 36 epochs fluid

    /* Pool */
    uint256 private constant POOL_EXIT_LOCKUP_EPOCHS = 12; // 12 epochs fluid

    /* Market */
    uint256 private constant COUPON_EXPIRATION = 360;
    uint256 private constant DEBT_RATIO_CAP = 35e16; // 35%

    /* Regulator */
    uint256 private constant SUPPLY_CHANGE_DIVISOR = 12e18; // 12
    uint256 private constant SUPPLY_CHANGE_LIMIT = 10e16; // 10%
    uint256 private constant ORACLE_POOL_RATIO = 40; // 40%

    /**
     * Getters
     */
    function getUsdcAddress() internal pure returns (address) {
        return USDC;
    }

    function getOracleReserveMinimum() internal pure returns (uint256) {
        return ORACLE_RESERVE_MINIMUM;
    }

    function getEpochStrategy() internal pure returns (EpochStrategy memory) {
        return EpochStrategy({
            offset: EPOCH_OFFSET,
            start: EPOCH_START,
            period: EPOCH_PERIOD
        });
    }

    function getInitialStakeMultiple() internal pure returns (uint256) {
        return INITIAL_STAKE_MULTIPLE;
    }

    function getBootstrappingPeriod() internal pure returns (uint256) {
        return BOOTSTRAPPING_PERIOD;
    }

    function getBootstrappingPrice() internal pure returns (Decimal.D256 memory) {
        return Decimal.D256({value: BOOTSTRAPPING_PRICE});
    }

    function getGovernancePeriod() internal pure returns (uint256) {
        return GOVERNANCE_PERIOD;
    }

    function getGovernanceQuorum() internal pure returns (Decimal.D256 memory) {
        return Decimal.D256({value: GOVERNANCE_QUORUM});
    }

    function getGovernanceSuperMajority() internal pure returns (Decimal.D256 memory) {
        return Decimal.D256({value: GOVERNANCE_SUPER_MAJORITY});
    }

    function getGovernanceEmergencyDelay() internal pure returns (uint256) {
        return GOVERNANCE_EMERGENCY_DELAY;
    }

    function getAdvanceIncentive() internal pure returns (uint256) {
        return ADVANCE_INCENTIVE;
    }

    function getDAOExitLockupEpochs() internal pure returns (uint256) {
        return DAO_EXIT_LOCKUP_EPOCHS;
    }

    function getPoolExitLockupEpochs() internal pure returns (uint256) {
        return POOL_EXIT_LOCKUP_EPOCHS;
    }

    function getCouponExpiration() internal pure returns (uint256) {
        return COUPON_EXPIRATION;
    }

    function getDebtRatioCap() internal pure returns (Decimal.D256 memory) {
        return Decimal.D256({value: DEBT_RATIO_CAP});
    }

    function getSupplyChangeLimit() internal pure returns (Decimal.D256 memory) {
        return Decimal.D256({value: SUPPLY_CHANGE_LIMIT});
    }

    function getSupplyChangeDivisor() internal pure returns (Decimal.D256 memory) {
        return Decimal.D256({value: SUPPLY_CHANGE_DIVISOR});
    }

    function getOraclePoolRatio() internal pure returns (uint256) {
        return ORACLE_POOL_RATIO;
    }

    function getChainId() internal pure returns (uint256) {
        return CHAIN_ID;
    }
}

/*
    Copyright 2020 Dynamic Dollar Devs, based on the works of the Empty Set Squad

    Licensed under the Apache License, Version 2.0 (the "License");
    you may not use this file except in compliance with the License.
    You may obtain a copy of the License at

    http://www.apache.org/licenses/LICENSE-2.0

    Unless required by applicable law or agreed to in writing, software
    distributed under the License is distributed on an "AS IS" BASIS,
    WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
    See the License for the specific language governing permissions and
    limitations under the License.
*/
contract Permittable is ERC20Detailed, ERC20 {
    bytes32 constant FILE = "Permittable";

    // keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)");
    bytes32 public constant EIP712_PERMIT_TYPEHASH = 0x6e71edae12b1b97f4d1f60370fef10105fa2faae0126114a169c64845d6126c9;
    string private constant EIP712_VERSION = "1";

    bytes32 public EIP712_DOMAIN_SEPARATOR;

    mapping(address => uint256) nonces;

    constructor() public {
        EIP712_DOMAIN_SEPARATOR = LibEIP712.hashEIP712Domain(name(), EIP712_VERSION, Constants.getChainId(), address(this));
    }

    function permit(
        address owner,
        address spender,
        uint256 value,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) external {
        bytes32 digest = LibEIP712.hashEIP712Message(
            EIP712_DOMAIN_SEPARATOR,
            keccak256(abi.encode(
                EIP712_PERMIT_TYPEHASH,
                owner,
                spender,
                value,
                nonces[owner]++,
                deadline
            ))
        );

        address recovered = ecrecover(digest, v, r, s);
        Require.that(
            recovered == owner,
            FILE,
            "Invalid signature"
        );

        Require.that(
            recovered != address(0),
            FILE,
            "Zero address"
        );

        Require.that(
            now <= deadline,
            FILE,
            "Expired"
        );

        _approve(owner, spender, value);
    }
}

/*
    Copyright 2020 Dynamic Dollar Devs, based on the works of the Empty Set Squad

    Licensed under the Apache License, Version 2.0 (the "License");
    you may not use this file except in compliance with the License.
    You may obtain a copy of the License at

    http://www.apache.org/licenses/LICENSE-2.0

    Unless required by applicable law or agreed to in writing, software
    distributed under the License is distributed on an "AS IS" BASIS,
    WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
    See the License for the specific language governing permissions and
    limitations under the License.
*/
contract IDollar is IERC20 {
    function burn(uint256 amount) public;
    function burnFrom(address account, uint256 amount) public;
    function mint(address account, uint256 amount) public returns (bool);
}

/*
    Copyright 2020 Dynamic Dollar Devs, based on the works of the Empty Set Squad

    Licensed under the Apache License, Version 2.0 (the "License");
    you may not use this file except in compliance with the License.
    You may obtain a copy of the License at

    http://www.apache.org/licenses/LICENSE-2.0

    Unless required by applicable law or agreed to in writing, software
    distributed under the License is distributed on an "AS IS" BASIS,
    WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
    See the License for the specific language governing permissions and
    limitations under the License.
*/
contract Dollar is IDollar, MinterRole, ERC20Detailed, Permittable, ERC20Burnable {

    constructor()
    ERC20Detailed("Dynamic Set Dollar", "DSD", 18)
    Permittable()
    public
    { }

    function mint(address account, uint256 amount) public onlyMinter returns (bool) {
        _mint(account, amount);
        return true;
    }

    function transferFrom(address sender, address recipient, uint256 amount) public returns (bool) {
        _transfer(sender, recipient, amount);
        if (allowance(sender, _msgSender()) != uint256(-1)) {
            _approve(
                sender,
                _msgSender(),
                allowance(sender, _msgSender()).sub(amount, "Dollar: transfer amount exceeds allowance"));
        }
        return true;
    }
}

interface IUniswapV2Factory {
    event PairCreated(address indexed token0, address indexed token1, address pair, uint);

    function feeTo() external view returns (address);
    function feeToSetter() external view returns (address);

    function getPair(address tokenA, address tokenB) external view returns (address pair);
    function allPairs(uint) external view returns (address pair);
    function allPairsLength() external view returns (uint);

    function createPair(address tokenA, address tokenB) external returns (address pair);

    function setFeeTo(address) external;
    function setFeeToSetter(address) external;
}

interface IUniswapV2Pair {
    event Approval(address indexed owner, address indexed spender, uint value);
    event Transfer(address indexed from, address indexed to, uint value);

    function name() external pure returns (string memory);
    function symbol() external pure returns (string memory);
    function decimals() external pure returns (uint8);
    function totalSupply() external view returns (uint);
    function balanceOf(address owner) external view returns (uint);
    function allowance(address owner, address spender) external view returns (uint);

    function approve(address spender, uint value) external returns (bool);
    function transfer(address to, uint value) external returns (bool);
    function transferFrom(address from, address to, uint value) external returns (bool);

    function DOMAIN_SEPARATOR() external view returns (bytes32);
    function PERMIT_TYPEHASH() external pure returns (bytes32);
    function nonces(address owner) external view returns (uint);

    function permit(address owner, address spender, uint value, uint deadline, uint8 v, bytes32 r, bytes32 s) external;

    event Mint(address indexed sender, uint amount0, uint amount1);
    event Burn(address indexed sender, uint amount0, uint amount1, address indexed to);
    event Swap(
        address indexed sender,
        uint amount0In,
        uint amount1In,
        uint amount0Out,
        uint amount1Out,
        address indexed to
    );
    event Sync(uint112 reserve0, uint112 reserve1);

    function MINIMUM_LIQUIDITY() external pure returns (uint);
    function factory() external view returns (address);
    function token0() external view returns (address);
    function token1() external view returns (address);
    function getReserves() external view returns (uint112 reserve0, uint112 reserve1, uint32 blockTimestampLast);
    function price0CumulativeLast() external view returns (uint);
    function price1CumulativeLast() external view returns (uint);
    function kLast() external view returns (uint);

    function mint(address to) external returns (uint liquidity);
    function burn(address to) external returns (uint amount0, uint amount1);
    function swap(uint amount0Out, uint amount1Out, address to, bytes calldata data) external;
    function skim(address to) external;
    function sync() external;

    function initialize(address, address) external;
}

// computes square roots using the babylonian method
// https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Babylonian_method
library Babylonian {
    function sqrt(uint y) internal pure returns (uint z) {
        if (y > 3) {
            z = y;
            uint x = y / 2 + 1;
            while (x < z) {
                z = x;
                x = (y / x + x) / 2;
            }
        } else if (y != 0) {
            z = 1;
        }
        // else z = 0
    }
}

// a library for handling binary fixed point numbers (https://en.wikipedia.org/wiki/Q_(number_format))
library FixedPoint {
    // range: [0, 2**112 - 1]
    // resolution: 1 / 2**112
    struct uq112x112 {
        uint224 _x;
    }

    // range: [0, 2**144 - 1]
    // resolution: 1 / 2**112
    struct uq144x112 {
        uint _x;
    }

    uint8 private constant RESOLUTION = 112;
    uint private constant Q112 = uint(1) << RESOLUTION;
    uint private constant Q224 = Q112 << RESOLUTION;

    // encode a uint112 as a UQ112x112
    function encode(uint112 x) internal pure returns (uq112x112 memory) {
        return uq112x112(uint224(x) << RESOLUTION);
    }

    // encodes a uint144 as a UQ144x112
    function encode144(uint144 x) internal pure returns (uq144x112 memory) {
        return uq144x112(uint256(x) << RESOLUTION);
    }

    // divide a UQ112x112 by a uint112, returning a UQ112x112
    function div(uq112x112 memory self, uint112 x) internal pure returns (uq112x112 memory) {
        require(x != 0, 'FixedPoint: DIV_BY_ZERO');
        return uq112x112(self._x / uint224(x));
    }

    // multiply a UQ112x112 by a uint, returning a UQ144x112
    // reverts on overflow
    function mul(uq112x112 memory self, uint y) internal pure returns (uq144x112 memory) {
        uint z;
        require(y == 0 || (z = uint(self._x) * y) / y == uint(self._x), "FixedPoint: MULTIPLICATION_OVERFLOW");
        return uq144x112(z);
    }

    // returns a UQ112x112 which represents the ratio of the numerator to the denominator
    // equivalent to encode(numerator).div(denominator)
    function fraction(uint112 numerator, uint112 denominator) internal pure returns (uq112x112 memory) {
        require(denominator > 0, "FixedPoint: DIV_BY_ZERO");
        return uq112x112((uint224(numerator) << RESOLUTION) / denominator);
    }

    // decode a UQ112x112 into a uint112 by truncating after the radix point
    function decode(uq112x112 memory self) internal pure returns (uint112) {
        return uint112(self._x >> RESOLUTION);
    }

    // decode a UQ144x112 into a uint144 by truncating after the radix point
    function decode144(uq144x112 memory self) internal pure returns (uint144) {
        return uint144(self._x >> RESOLUTION);
    }

    // take the reciprocal of a UQ112x112
    function reciprocal(uq112x112 memory self) internal pure returns (uq112x112 memory) {
        require(self._x != 0, 'FixedPoint: ZERO_RECIPROCAL');
        return uq112x112(uint224(Q224 / self._x));
    }

    // square root of a UQ112x112
    function sqrt(uq112x112 memory self) internal pure returns (uq112x112 memory) {
        return uq112x112(uint224(Babylonian.sqrt(uint256(self._x)) << 56));
    }
}

// library with helper methods for oracles that are concerned with computing average prices
library UniswapV2OracleLibrary {
    using FixedPoint for *;

    // helper function that returns the current block timestamp within the range of uint32, i.e. [0, 2**32 - 1]
    function currentBlockTimestamp() internal view returns (uint32) {
        return uint32(block.timestamp % 2 ** 32);
    }

    // produces the cumulative price using counterfactuals to save gas and avoid a call to sync.
    function currentCumulativePrices(address pair)
    internal
    view
    returns (uint price0Cumulative, uint price1Cumulative, uint32 blockTimestamp) {
        blockTimestamp = currentBlockTimestamp();
        price0Cumulative = IUniswapV2Pair(pair).price0CumulativeLast();
        price1Cumulative = IUniswapV2Pair(pair).price1CumulativeLast();

        // if time has elapsed since the last update on the pair, mock the accumulated price values
        (uint112 reserve0, uint112 reserve1, uint32 blockTimestampLast) = IUniswapV2Pair(pair).getReserves();
        if (blockTimestampLast != blockTimestamp) {
            // subtraction overflow is desired
            uint32 timeElapsed = blockTimestamp - blockTimestampLast;
            // addition overflow is desired
            // counterfactual
            price0Cumulative += uint(FixedPoint.fraction(reserve1, reserve0)._x) * timeElapsed;
            // counterfactual
            price1Cumulative += uint(FixedPoint.fraction(reserve0, reserve1)._x) * timeElapsed;
        }
    }
}

library UniswapV2Library {
    using SafeMath for uint;

    // returns sorted token addresses, used to handle return values from pairs sorted in this order
    function sortTokens(address tokenA, address tokenB) internal pure returns (address token0, address token1) {
        require(tokenA != tokenB, 'UniswapV2Library: IDENTICAL_ADDRESSES');
        (token0, token1) = tokenA < tokenB ? (tokenA, tokenB) : (tokenB, tokenA);
        require(token0 != address(0), 'UniswapV2Library: ZERO_ADDRESS');
    }

    // calculates the CREATE2 address for a pair without making any external calls
    function pairFor(address factory, address tokenA, address tokenB) internal pure returns (address pair) {
        (address token0, address token1) = sortTokens(tokenA, tokenB);
        pair = address(uint(keccak256(abi.encodePacked(
                hex'ff',
                factory,
                keccak256(abi.encodePacked(token0, token1)),
                hex'96e8ac4277198ff8b6f785478aa9a39f403cb768dd02cbee326c3e7da348845f' // init code hash
            ))));
    }

    // fetches and sorts the reserves for a pair
    function getReserves(address factory, address tokenA, address tokenB) internal view returns (uint reserveA, uint reserveB) {
        (address token0,) = sortTokens(tokenA, tokenB);
        (uint reserve0, uint reserve1,) = IUniswapV2Pair(pairFor(factory, tokenA, tokenB)).getReserves();
        (reserveA, reserveB) = tokenA == token0 ? (reserve0, reserve1) : (reserve1, reserve0);
    }

    // given some amount of an asset and pair reserves, returns an equivalent amount of the other asset
    function quote(uint amountA, uint reserveA, uint reserveB) internal pure returns (uint amountB) {
        require(amountA > 0, 'UniswapV2Library: INSUFFICIENT_AMOUNT');
        require(reserveA > 0 && reserveB > 0, 'UniswapV2Library: INSUFFICIENT_LIQUIDITY');
        amountB = amountA.mul(reserveB) / reserveA;
    }
}

/*
    Copyright 2020 Dynamic Dollar Devs, based on the works of the Empty Set Squad

    Licensed under the Apache License, Version 2.0 (the "License");
    you may not use this file except in compliance with the License.
    You may obtain a copy of the License at

    http://www.apache.org/licenses/LICENSE-2.0

    Unless required by applicable law or agreed to in writing, software
    distributed under the License is distributed on an "AS IS" BASIS,
    WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
    See the License for the specific language governing permissions and
    limitations under the License.
*/
contract IOracle {
    function setup() public;
    function capture() public returns (Decimal.D256 memory, bool);
    function pair() external view returns (address);
}

/*
    Copyright 2020 Dynamic Dollar Devs, based on the works of the Empty Set Squad

    Licensed under the Apache License, Version 2.0 (the "License");
    you may not use this file except in compliance with the License.
    You may obtain a copy of the License at

    http://www.apache.org/licenses/LICENSE-2.0

    Unless required by applicable law or agreed to in writing, software
    distributed under the License is distributed on an "AS IS" BASIS,
    WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
    See the License for the specific language governing permissions and
    limitations under the License.
*/
contract IUSDC {
    function isBlacklisted(address _account) external view returns (bool);
}

/*
    Copyright 2020 Dynamic Dollar Devs, based on the works of the Empty Set Squad

    Licensed under the Apache License, Version 2.0 (the "License");
    you may not use this file except in compliance with the License.
    You may obtain a copy of the License at

    http://www.apache.org/licenses/LICENSE-2.0

    Unless required by applicable law or agreed to in writing, software
    distributed under the License is distributed on an "AS IS" BASIS,
    WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
    See the License for the specific language governing permissions and
    limitations under the License.
*/
contract Oracle is IOracle {
    using Decimal for Decimal.D256;

    bytes32 private constant FILE = "Oracle";
    address private constant UNISWAP_FACTORY = address(0x5C69bEe701ef814a2B6a3EDD4B1652CB9cc5aA6f);

    address internal _dao;
    address internal _dollar;

    bool internal _initialized;
    IUniswapV2Pair internal _pair;
    uint256 internal _index;
    uint256 internal _cumulative;
    uint32 internal _timestamp;

    uint256 internal _reserve;

    constructor (address dollar) public {
        _dao = msg.sender;
        _dollar = dollar;
    }

    function setup() public onlyDao {
        _pair = IUniswapV2Pair(IUniswapV2Factory(UNISWAP_FACTORY).createPair(_dollar, usdc()));

        (address token0, address token1) = (_pair.token0(), _pair.token1());
        _index = _dollar == token0 ? 0 : 1;

        Require.that(
            _index == 0 || _dollar == token1,
            FILE,
            "Døllar not found"
        );
    }

    /**
     * Trades/Liquidity: (1) Initializes reserve and blockTimestampLast (can calculate a price)
     *                   (2) Has non-zero cumulative prices
     *
     * Steps: (1) Captures a reference blockTimestampLast
     *        (2) First reported value
     */
    function capture() public onlyDao returns (Decimal.D256 memory, bool) {
        if (_initialized) {
            return updateOracle();
        } else {
            initializeOracle();
            return (Decimal.one(), false);
        }
    }

    function initializeOracle() private {
        IUniswapV2Pair pair = _pair;
        uint256 priceCumulative = _index == 0 ?
            pair.price0CumulativeLast() :
            pair.price1CumulativeLast();
        (uint112 reserve0, uint112 reserve1, uint32 blockTimestampLast) = pair.getReserves();
        if(reserve0 != 0 && reserve1 != 0 && blockTimestampLast != 0) {
            _cumulative = priceCumulative;
            _timestamp = blockTimestampLast;
            _initialized = true;
            _reserve = _index == 0 ? reserve1 : reserve0; // get counter's reserve
        }
    }

    function updateOracle() private returns (Decimal.D256 memory, bool) {
        Decimal.D256 memory price = updatePrice();
        uint256 lastReserve = updateReserve();
        bool isBlacklisted = IUSDC(usdc()).isBlacklisted(address(_pair));

        bool valid = true;
        if (lastReserve < Constants.getOracleReserveMinimum()) {
            valid = false;
        }
        if (_reserve < Constants.getOracleReserveMinimum()) {
            valid = false;
        }
        if (isBlacklisted) {
            valid = false;
        }

        return (price, valid);
    }

    function updatePrice() private returns (Decimal.D256 memory) {
        (uint256 price0Cumulative, uint256 price1Cumulative, uint32 blockTimestamp) =
        UniswapV2OracleLibrary.currentCumulativePrices(address(_pair));
        uint32 timeElapsed = blockTimestamp - _timestamp; // overflow is desired
        uint256 priceCumulative = _index == 0 ? price0Cumulative : price1Cumulative;
        Decimal.D256 memory price = Decimal.ratio((priceCumulative - _cumulative) / timeElapsed, 2**112);

        _timestamp = blockTimestamp;
        _cumulative = priceCumulative;

        return price.mul(1e12);
    }

    function updateReserve() private returns (uint256) {
        uint256 lastReserve = _reserve;
        (uint112 reserve0, uint112 reserve1,) = _pair.getReserves();
        _reserve = _index == 0 ? reserve1 : reserve0; // get counter's reserve

        return lastReserve;
    }

    function usdc() internal view returns (address) {
        return Constants.getUsdcAddress();
    }

    function pair() external view returns (address) {
        return address(_pair);
    }

    function reserve() external view returns (uint256) {
        return _reserve;
    }

    modifier onlyDao() {
        Require.that(
            msg.sender == _dao,
            FILE,
            "Not dao"
        );

        _;
    }
}

/*
    Copyright 2020 Dynamic Dollar Devs, based on the works of the Empty Set Squad

    Licensed under the Apache License, Version 2.0 (the "License");
    you may not use this file except in compliance with the License.
    You may obtain a copy of the License at

    http://www.apache.org/licenses/LICENSE-2.0

    Unless required by applicable law or agreed to in writing, software
    distributed under the License is distributed on an "AS IS" BASIS,
    WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
    See the License for the specific language governing permissions and
    limitations under the License.
*/
contract IDAO {
    function epoch() external view returns (uint256);
}

/*
    Copyright 2020 Dynamic Dollar Devs, based on the works of the Empty Set Squad

    Licensed under the Apache License, Version 2.0 (the "License");
    you may not use this file except in compliance with the License.
    You may obtain a copy of the License at

    http://www.apache.org/licenses/LICENSE-2.0

    Unless required by applicable law or agreed to in writing, software
    distributed under the License is distributed on an "AS IS" BASIS,
    WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
    See the License for the specific language governing permissions and
    limitations under the License.
*/
contract PoolAccount {
    enum Status {
        Frozen,
        Fluid,
        Locked
    }

    struct State {
        uint256 staged;
        uint256 claimable;
        uint256 bonded;
        uint256 phantom;
        uint256 fluidUntil;
    }
}

contract PoolStorage {
    struct Provider {
        IDAO dao;
        IDollar dollar;
        IERC20 univ2;
    }
    
    struct Balance {
        uint256 staged;
        uint256 claimable;
        uint256 bonded;
        uint256 phantom;
    }

    struct State {
        Balance balance;
        Provider provider;

        bool paused;

        mapping(address => PoolAccount.State) accounts;
    }
}

contract PoolState {
    PoolStorage.State _state;
}

/*
    Copyright 2020 Dynamic Dollar Devs, based on the works of the Empty Set Squad

    Licensed under the Apache License, Version 2.0 (the "License");
    you may not use this file except in compliance with the License.
    You may obtain a copy of the License at

    http://www.apache.org/licenses/LICENSE-2.0

    Unless required by applicable law or agreed to in writing, software
    distributed under the License is distributed on an "AS IS" BASIS,
    WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
    See the License for the specific language governing permissions and
    limitations under the License.
*/
contract PoolGetters is PoolState {
    using SafeMath for uint256;

    /**
     * Global
     */

    function usdc() public view returns (address) {
        return Constants.getUsdcAddress();
    }

    function dao() public view returns (IDAO) {
        return _state.provider.dao;
    }

    function dollar() public view returns (IDollar) {
        return _state.provider.dollar;
    }

    function univ2() public view returns (IERC20) {
        return _state.provider.univ2;
    }

    function totalBonded() public view returns (uint256) {
        return _state.balance.bonded;
    }

    function totalStaged() public view returns (uint256) {
        return _state.balance.staged;
    }

    function totalClaimable() public view returns (uint256) {
        return _state.balance.claimable;
    }

    function totalPhantom() public view returns (uint256) {
        return _state.balance.phantom;
    }

    function totalRewarded() public view returns (uint256) {
        return dollar().balanceOf(address(this)).sub(totalClaimable());
    }

    function paused() public view returns (bool) {
        return _state.paused;
    }

    /**
     * Account
     */

    function balanceOfStaged(address account) public view returns (uint256) {
        return _state.accounts[account].staged;
    }

    function balanceOfClaimable(address account) public view returns (uint256) {
        return _state.accounts[account].claimable;
    }

    function balanceOfBonded(address account) public view returns (uint256) {
        return _state.accounts[account].bonded;
    }

    function balanceOfPhantom(address account) public view returns (uint256) {
        return _state.accounts[account].phantom;
    }

    function balanceOfRewarded(address account) public view returns (uint256) {
        uint256 totalBonded = totalBonded();
        if (totalBonded == 0) {
            return 0;
        }

        uint256 totalRewardedWithPhantom = totalRewarded().add(totalPhantom());
        uint256 balanceOfRewardedWithPhantom = totalRewardedWithPhantom
            .mul(balanceOfBonded(account))
            .div(totalBonded);

        uint256 balanceOfPhantom = balanceOfPhantom(account);
        if (balanceOfRewardedWithPhantom > balanceOfPhantom) {
            return balanceOfRewardedWithPhantom.sub(balanceOfPhantom);
        }
        return 0;
    }

    function statusOf(address account) public view returns (PoolAccount.Status) {
        return epoch() >= _state.accounts[account].fluidUntil ?
            PoolAccount.Status.Frozen :
            PoolAccount.Status.Fluid;
    }

    /**
     * Epoch
     */

    function epoch() internal view returns (uint256) {
        return dao().epoch();
    }
}

/*
    Copyright 2020 Dynamic Dollar Devs, based on the works of the Empty Set Squad

    Licensed under the Apache License, Version 2.0 (the "License");
    you may not use this file except in compliance with the License.
    You may obtain a copy of the License at

    http://www.apache.org/licenses/LICENSE-2.0

    Unless required by applicable law or agreed to in writing, software
    distributed under the License is distributed on an "AS IS" BASIS,
    WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
    See the License for the specific language governing permissions and
    limitations under the License.
*/
contract PoolSetters is PoolState, PoolGetters {
    using SafeMath for uint256;

    /**
     * Global
     */

    function pause() internal {
        _state.paused = true;
    }

    /**
     * Account
     */

    function incrementBalanceOfBonded(address account, uint256 amount) internal {
        _state.accounts[account].bonded = _state.accounts[account].bonded.add(amount);
        _state.balance.bonded = _state.balance.bonded.add(amount);
    }

    function decrementBalanceOfBonded(address account, uint256 amount, string memory reason) internal {
        _state.accounts[account].bonded = _state.accounts[account].bonded.sub(amount, reason);
        _state.balance.bonded = _state.balance.bonded.sub(amount, reason);
    }

    function incrementBalanceOfStaged(address account, uint256 amount) internal {
        _state.accounts[account].staged = _state.accounts[account].staged.add(amount);
        _state.balance.staged = _state.balance.staged.add(amount);
    }

    function decrementBalanceOfStaged(address account, uint256 amount, string memory reason) internal {
        _state.accounts[account].staged = _state.accounts[account].staged.sub(amount, reason);
        _state.balance.staged = _state.balance.staged.sub(amount, reason);
    }

    function incrementBalanceOfClaimable(address account, uint256 amount) internal {
        _state.accounts[account].claimable = _state.accounts[account].claimable.add(amount);
        _state.balance.claimable = _state.balance.claimable.add(amount);
    }

    function decrementBalanceOfClaimable(address account, uint256 amount, string memory reason) internal {
        _state.accounts[account].claimable = _state.accounts[account].claimable.sub(amount, reason);
        _state.balance.claimable = _state.balance.claimable.sub(amount, reason);
    }

    function incrementBalanceOfPhantom(address account, uint256 amount) internal {
        _state.accounts[account].phantom = _state.accounts[account].phantom.add(amount);
        _state.balance.phantom = _state.balance.phantom.add(amount);
    }

    function decrementBalanceOfPhantom(address account, uint256 amount, string memory reason) internal {
        _state.accounts[account].phantom = _state.accounts[account].phantom.sub(amount, reason);
        _state.balance.phantom = _state.balance.phantom.sub(amount, reason);
    }

    function unfreeze(address account) internal {
        _state.accounts[account].fluidUntil = epoch().add(Constants.getPoolExitLockupEpochs());
    }
}

/*
    Copyright 2020 Dynamic Dollar Devs, based on the works of the Empty Set Squad

    Licensed under the Apache License, Version 2.0 (the "License");
    you may not use this file except in compliance with the License.
    You may obtain a copy of the License at

    http://www.apache.org/licenses/LICENSE-2.0

    Unless required by applicable law or agreed to in writing, software
    distributed under the License is distributed on an "AS IS" BASIS,
    WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
    See the License for the specific language governing permissions and
    limitations under the License.
*/
contract Liquidity is PoolGetters {
    address private constant UNISWAP_FACTORY = address(0x5C69bEe701ef814a2B6a3EDD4B1652CB9cc5aA6f);

    function addLiquidity(uint256 dollarAmount) internal returns (uint256, uint256) {
        (address dollar, address usdc) = (address(dollar()), usdc());
        (uint reserveA, uint reserveB) = getReserves(dollar, usdc);

        uint256 usdcAmount = (reserveA == 0 && reserveB == 0) ?
             dollarAmount :
             UniswapV2Library.quote(dollarAmount, reserveA, reserveB);

        address pair = address(univ2());
        IERC20(dollar).transfer(pair, dollarAmount);
        IERC20(usdc).transferFrom(msg.sender, pair, usdcAmount);
        return (usdcAmount, IUniswapV2Pair(pair).mint(address(this)));
    }

    // overridable for testing
    function getReserves(address tokenA, address tokenB) internal view returns (uint reserveA, uint reserveB) {
        (address token0,) = UniswapV2Library.sortTokens(tokenA, tokenB);
        (uint reserve0, uint reserve1,) = IUniswapV2Pair(UniswapV2Library.pairFor(UNISWAP_FACTORY, tokenA, tokenB)).getReserves();
        (reserveA, reserveB) = tokenA == token0 ? (reserve0, reserve1) : (reserve1, reserve0);
    }
}

/*
    Copyright 2020 Dynamic Dollar Devs, based on the works of the Empty Set Squad

    Licensed under the Apache License, Version 2.0 (the "License");
    you may not use this file except in compliance with the License.
    You may obtain a copy of the License at

    http://www.apache.org/licenses/LICENSE-2.0

    Unless required by applicable law or agreed to in writing, software
    distributed under the License is distributed on an "AS IS" BASIS,
    WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
    See the License for the specific language governing permissions and
    limitations under the License.
*/
contract Pool is PoolSetters, Liquidity {
    using SafeMath for uint256;

    constructor(address dollar, address univ2) public {
        _state.provider.dao = IDAO(msg.sender);
        _state.provider.dollar = IDollar(dollar);
        _state.provider.univ2 = IERC20(univ2);
    }

    bytes32 private constant FILE = "Pool";

    event Deposit(address indexed account, uint256 value);
    event Withdraw(address indexed account, uint256 value);
    event Claim(address indexed account, uint256 value);
    event Bond(address indexed account, uint256 start, uint256 value);
    event Unbond(address indexed account, uint256 start, uint256 value, uint256 newClaimable);
    event Provide(address indexed account, uint256 value, uint256 lessUsdc, uint256 newUniv2);

    function deposit(uint256 value) external onlyFrozen(msg.sender) notPaused {
        univ2().transferFrom(msg.sender, address(this), value);
        incrementBalanceOfStaged(msg.sender, value);

        balanceCheck();

        emit Deposit(msg.sender, value);
    }

    function withdraw(uint256 value) external onlyFrozen(msg.sender) {
        univ2().transfer(msg.sender, value);
        decrementBalanceOfStaged(msg.sender, value, "Pool: insufficient staged balance");

        balanceCheck();

        emit Withdraw(msg.sender, value);
    }

    function claim(uint256 value) external onlyFrozen(msg.sender) {
        dollar().transfer(msg.sender, value);
        decrementBalanceOfClaimable(msg.sender, value, "Pool: insufficient claimable balance");

        balanceCheck();

        emit Claim(msg.sender, value);
    }

    function bond(uint256 value) external notPaused {
        unfreeze(msg.sender);

        uint256 totalRewardedWithPhantom = totalRewarded().add(totalPhantom());
        uint256 newPhantom = totalBonded() == 0 ?
            totalRewarded() == 0 ? Constants.getInitialStakeMultiple().mul(value) : 0 :
            totalRewardedWithPhantom.mul(value).div(totalBonded());

        incrementBalanceOfBonded(msg.sender, value);
        incrementBalanceOfPhantom(msg.sender, newPhantom);
        decrementBalanceOfStaged(msg.sender, value, "Pool: insufficient staged balance");

        balanceCheck();

        emit Bond(msg.sender, epoch().add(1), value);
    }

    function unbond(uint256 value) external {
        unfreeze(msg.sender);

        uint256 balanceOfBonded = balanceOfBonded(msg.sender);
        Require.that(
            balanceOfBonded > 0,
            FILE,
            "insufficient bonded balance"
        );

        uint256 newClaimable = balanceOfRewarded(msg.sender).mul(value).div(balanceOfBonded);
        uint256 lessPhantom = balanceOfPhantom(msg.sender).mul(value).div(balanceOfBonded);

        incrementBalanceOfStaged(msg.sender, value);
        incrementBalanceOfClaimable(msg.sender, newClaimable);
        decrementBalanceOfBonded(msg.sender, value, "Pool: insufficient bonded balance");
        decrementBalanceOfPhantom(msg.sender, lessPhantom, "Pool: insufficient phantom balance");

        balanceCheck();

        emit Unbond(msg.sender, epoch().add(1), value, newClaimable);
    }

    function provide(uint256 value) external onlyFrozen(msg.sender) notPaused {
        Require.that(
            totalBonded() > 0,
            FILE,
            "insufficient total bonded"
        );

        Require.that(
            totalRewarded() > 0,
            FILE,
            "insufficient total rewarded"
        );

        Require.that(
            balanceOfRewarded(msg.sender) >= value,
            FILE,
            "insufficient rewarded balance"
        );

        (uint256 lessUsdc, uint256 newUniv2) = addLiquidity(value);

        uint256 totalRewardedWithPhantom = totalRewarded().add(totalPhantom()).add(value);
        uint256 newPhantomFromBonded = totalRewardedWithPhantom.mul(newUniv2).div(totalBonded());

        incrementBalanceOfBonded(msg.sender, newUniv2);
        incrementBalanceOfPhantom(msg.sender, value.add(newPhantomFromBonded));


        balanceCheck();

        emit Provide(msg.sender, value, lessUsdc, newUniv2);
    }

    function emergencyWithdraw(address token, uint256 value) external onlyDao {
        IERC20(token).transfer(address(dao()), value);
    }

    function emergencyPause() external onlyDao {
        pause();
    }

    function balanceCheck() private {
        Require.that(
            univ2().balanceOf(address(this)) >= totalStaged().add(totalBonded()),
            FILE,
            "Inconsistent UNI-V2 balances"
        );
    }

    modifier onlyFrozen(address account) {
        Require.that(
            statusOf(account) == PoolAccount.Status.Frozen,
            FILE,
            "Not frozen"
        );

        _;
    }

    modifier onlyDao() {
        Require.that(
            msg.sender == address(dao()),
            FILE,
            "Not dao"
        );

        _;
    }

    modifier notPaused() {
        Require.that(
            !paused(),
            FILE,
            "Paused"
        );

        _;
    }
}

/**
 * Utility library of inline functions on addresses
 *
 * Source https://raw.githubusercontent.com/OpenZeppelin/openzeppelin-solidity/v2.1.3/contracts/utils/Address.sol
 * This contract is copied here and renamed from the original to avoid clashes in the compiled artifacts
 * when the user imports a zos-lib contract (that transitively causes this contract to be compiled and added to the
 * build/artifacts folder) as well as the vanilla Address implementation from an openzeppelin version.
 */
library OpenZeppelinUpgradesAddress {
    /**
     * Returns whether the target address is a contract
     * @dev This function will return false if invoked during the constructor of a contract,
     * as the code is not actually created until after the constructor finishes.
     * @param account address of the account to check
     * @return whether the target address is a contract
     */
    function isContract(address account) internal view returns (bool) {
        uint256 size;
        // XXX Currently there is no better way to check if there is a contract in an address
        // than to check the size of the code at that address.
        // See https://ethereum.stackexchange.com/a/14016/36603
        // for more details about how this works.
        // TODO Check this again before the Serenity release, because all addresses will be
        // contracts then.
        // solhint-disable-next-line no-inline-assembly
        assembly { size := extcodesize(account) }
        return size > 0;
    }
}

/*
    Copyright 2020 Dynamic Dollar Devs, based on the works of the Empty Set Squad

    Licensed under the Apache License, Version 2.0 (the "License");
    you may not use this file except in compliance with the License.
    You may obtain a copy of the License at

    http://www.apache.org/licenses/LICENSE-2.0

    Unless required by applicable law or agreed to in writing, software
    distributed under the License is distributed on an "AS IS" BASIS,
    WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
    See the License for the specific language governing permissions and
    limitations under the License.
*/
contract Account {
    enum Status {
        Frozen,
        Fluid,
        Locked
    }

    struct State {
        uint256 staged;
        uint256 balance;
        mapping(uint256 => uint256) coupons;
        mapping(address => uint256) couponAllowances;
        uint256 fluidUntil;
        uint256 lockedUntil;
    }
}

contract Epoch {
    struct Global {
        uint256 start;
        uint256 period;
        uint256 current;
    }

    struct Coupons {
        uint256 outstanding;
        uint256 expiration;
        uint256[] expiring;
    }

    struct State {
        uint256 bonded;
        Coupons coupons;
    }
}

contract Candidate {
    enum Vote {
        UNDECIDED,
        APPROVE,
        REJECT
    }

    struct State {
        uint256 start;
        uint256 period;
        uint256 approve;
        uint256 reject;
        mapping(address => Vote) votes;
        bool initialized;
    }
}

contract Storage {
    struct Provider {
        IDollar dollar;
        IOracle oracle;
        address pool;
    }

    struct Balance {
        uint256 supply;
        uint256 bonded;
        uint256 staged;
        uint256 redeemable;
        uint256 debt;
        uint256 coupons;
    }

    struct State {
        Epoch.Global epoch;
        Balance balance;
        Provider provider;

        mapping(address => Account.State) accounts;
        mapping(uint256 => Epoch.State) epochs;
        mapping(address => Candidate.State) candidates;
    }
}

contract State {
    Storage.State _state;
}

/*
    Copyright 2018-2019 zOS Global Limited
    Copyright 2020 Dynamic Dollar Devs, based on the works of the Empty Set Squad

    Licensed under the Apache License, Version 2.0 (the "License");
    you may not use this file except in compliance with the License.
    You may obtain a copy of the License at

    http://www.apache.org/licenses/LICENSE-2.0

    Unless required by applicable law or agreed to in writing, software
    distributed under the License is distributed on an "AS IS" BASIS,
    WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
    See the License for the specific language governing permissions and
    limitations under the License.
*/
/**
 * Based off of, and designed to interface with, openzeppelin/upgrades package
 */
contract Upgradeable is State {
    /**
     * @dev Storage slot with the address of the current implementation.
     * This is the keccak-256 hash of "eip1967.proxy.implementation" subtracted by 1, and is
     * validated in the constructor.
     */
    bytes32 private constant IMPLEMENTATION_SLOT = 0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;

    /**
     * @dev Emitted when the implementation is upgraded.
     * @param implementation Address of the new implementation.
     */
    event Upgraded(address indexed implementation);

    function initialize() public;

    /**
     * @dev Upgrades the proxy to a new implementation.
     * @param newImplementation Address of the new implementation.
     */
    function upgradeTo(address newImplementation) internal {
        setImplementation(newImplementation);

        (bool success, bytes memory reason) = newImplementation.delegatecall(abi.encodeWithSignature("initialize()"));
        require(success, string(reason));

        emit Upgraded(newImplementation);
    }

    /**
     * @dev Sets the implementation address of the proxy.
     * @param newImplementation Address of the new implementation.
     */
    function setImplementation(address newImplementation) private {
        require(OpenZeppelinUpgradesAddress.isContract(newImplementation), "Cannot set a proxy implementation to a non-contract address");

        bytes32 slot = IMPLEMENTATION_SLOT;

        assembly {
            sstore(slot, newImplementation)
        }
    }
}

/*
    Copyright 2020 Dynamic Dollar Devs, based on the works of the Empty Set Squad

    Licensed under the Apache License, Version 2.0 (the "License");
    you may not use this file except in compliance with the License.
    You may obtain a copy of the License at

    http://www.apache.org/licenses/LICENSE-2.0

    Unless required by applicable law or agreed to in writing, software
    distributed under the License is distributed on an "AS IS" BASIS,
    WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
    See the License for the specific language governing permissions and
    limitations under the License.
*/
contract Getters is State {
    using SafeMath for uint256;
    using Decimal for Decimal.D256;

    bytes32 private constant IMPLEMENTATION_SLOT = 0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;

    /**
     * ERC20 Interface
     */

    function name() public view returns (string memory) {
        return "Dynamic Set Dollar Stake";
    }

    function symbol() public view returns (string memory) {
        return "DSDS";
    }

    function decimals() public view returns (uint8) {
        return 18;
    }

    function balanceOf(address account) public view returns (uint256) {
        return _state.accounts[account].balance;
    }

    function totalSupply() public view returns (uint256) {
        return _state.balance.supply;
    }

    function allowance(address owner, address spender) external view returns (uint256) {
        return 0;
    }

    /**
     * Global
     */

    function dollar() public view returns (IDollar) {
        return _state.provider.dollar;
    }

    function oracle() public view returns (IOracle) {
        return _state.provider.oracle;
    }

    function pool() public view returns (address) {
        return _state.provider.pool;
    }

    function totalBonded() public view returns (uint256) {
        return _state.balance.bonded;
    }

    function totalStaged() public view returns (uint256) {
        return _state.balance.staged;
    }

    function totalDebt() public view returns (uint256) {
        return _state.balance.debt;
    }

    function totalRedeemable() public view returns (uint256) {
        return _state.balance.redeemable;
    }

    function totalCoupons() public view returns (uint256) {
        return _state.balance.coupons;
    }

    function totalNet() public view returns (uint256) {
        return dollar().totalSupply().sub(totalDebt());
    }

    /**
     * Account
     */

    function balanceOfStaged(address account) public view returns (uint256) {
        return _state.accounts[account].staged;
    }

    function balanceOfBonded(address account) public view returns (uint256) {
        uint256 totalSupply = totalSupply();
        if (totalSupply == 0) {
            return 0;
        }
        return totalBonded().mul(balanceOf(account)).div(totalSupply);
    }

    function balanceOfCoupons(address account, uint256 epoch) public view returns (uint256) {
        if (outstandingCoupons(epoch) == 0) {
            return 0;
        }
        return _state.accounts[account].coupons[epoch];
    }

    function statusOf(address account) public view returns (Account.Status) {
        if (_state.accounts[account].lockedUntil > epoch()) {
            return Account.Status.Locked;
        }

        return epoch() >= _state.accounts[account].fluidUntil ? Account.Status.Frozen : Account.Status.Fluid;
    }

    function allowanceCoupons(address owner, address spender) public view returns (uint256) {
        return _state.accounts[owner].couponAllowances[spender];
    }

    /**
     * Epoch
     */

    function epoch() public view returns (uint256) {
        return _state.epoch.current;
    }

    function epochTime() public view returns (uint256) {
        Constants.EpochStrategy memory current = Constants.getEpochStrategy();

        return epochTimeWithStrategy(current);
    }

    function epochTimeWithStrategy(Constants.EpochStrategy memory strategy) private view returns (uint256) {
        return blockTimestamp()
            .sub(strategy.start)
            .div(strategy.period)
            .add(strategy.offset);
    }

    // Overridable for testing
    function blockTimestamp() internal view returns (uint256) {
        return block.timestamp;
    }

    function outstandingCoupons(uint256 epoch) public view returns (uint256) {
        return _state.epochs[epoch].coupons.outstanding;
    }

    function couponsExpiration(uint256 epoch) public view returns (uint256) {
        return _state.epochs[epoch].coupons.expiration;
    }

    function expiringCoupons(uint256 epoch) public view returns (uint256) {
        return _state.epochs[epoch].coupons.expiring.length;
    }

    function expiringCouponsAtIndex(uint256 epoch, uint256 i) public view returns (uint256) {
        return _state.epochs[epoch].coupons.expiring[i];
    }

    function totalBondedAt(uint256 epoch) public view returns (uint256) {
        return _state.epochs[epoch].bonded;
    }

    function bootstrappingAt(uint256 epoch) public view returns (bool) {
        return epoch <= Constants.getBootstrappingPeriod();
    }

    /**
     * Governance
     */

    function recordedVote(address account, address candidate) public view returns (Candidate.Vote) {
        return _state.candidates[candidate].votes[account];
    }

    function startFor(address candidate) public view returns (uint256) {
        return _state.candidates[candidate].start;
    }

    function periodFor(address candidate) public view returns (uint256) {
        return _state.candidates[candidate].period;
    }

    function approveFor(address candidate) public view returns (uint256) {
        return _state.candidates[candidate].approve;
    }

    function rejectFor(address candidate) public view returns (uint256) {
        return _state.candidates[candidate].reject;
    }

    function votesFor(address candidate) public view returns (uint256) {
        return approveFor(candidate).add(rejectFor(candidate));
    }

    function isNominated(address candidate) public view returns (bool) {
        return _state.candidates[candidate].start > 0;
    }

    function isInitialized(address candidate) public view returns (bool) {
        return _state.candidates[candidate].initialized;
    }

    function implementation() public view returns (address impl) {
        bytes32 slot = IMPLEMENTATION_SLOT;
        assembly {
            impl := sload(slot)
        }
    }
}

/*
    Copyright 2020 Dynamic Dollar Devs, based on the works of the Empty Set Squad

    Licensed under the Apache License, Version 2.0 (the "License");
    you may not use this file except in compliance with the License.
    You may obtain a copy of the License at

    http://www.apache.org/licenses/LICENSE-2.0

    Unless required by applicable law or agreed to in writing, software
    distributed under the License is distributed on an "AS IS" BASIS,
    WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
    See the License for the specific language governing permissions and
    limitations under the License.
*/
contract Setters is State, Getters {
    using SafeMath for uint256;

    event Transfer(address indexed from, address indexed to, uint256 value);

    /**
     * ERC20 Interface
     */

    function transfer(address recipient, uint256 amount) external returns (bool) {
        return false;
    }

    function approve(address spender, uint256 amount) external returns (bool) {
        return false;
    }

    function transferFrom(address sender, address recipient, uint256 amount) external returns (bool) {
        return false;
    }

    /**
     * Global
     */

    function incrementTotalBonded(uint256 amount) internal {
        _state.balance.bonded = _state.balance.bonded.add(amount);
    }

    function decrementTotalBonded(uint256 amount, string memory reason) internal {
        _state.balance.bonded = _state.balance.bonded.sub(amount, reason);
    }

    function incrementTotalDebt(uint256 amount) internal {
        _state.balance.debt = _state.balance.debt.add(amount);
    }

    function decrementTotalDebt(uint256 amount, string memory reason) internal {
        _state.balance.debt = _state.balance.debt.sub(amount, reason);
    }

    function setDebtToZero() internal {
        _state.balance.debt = 0;
    }

    function incrementTotalRedeemable(uint256 amount) internal {
        _state.balance.redeemable = _state.balance.redeemable.add(amount);
    }

    function decrementTotalRedeemable(uint256 amount, string memory reason) internal {
        _state.balance.redeemable = _state.balance.redeemable.sub(amount, reason);
    }

    /**
     * Account
     */

    function incrementBalanceOf(address account, uint256 amount) internal {
        _state.accounts[account].balance = _state.accounts[account].balance.add(amount);
        _state.balance.supply = _state.balance.supply.add(amount);

        emit Transfer(address(0), account, amount);
    }

    function decrementBalanceOf(address account, uint256 amount, string memory reason) internal {
        _state.accounts[account].balance = _state.accounts[account].balance.sub(amount, reason);
        _state.balance.supply = _state.balance.supply.sub(amount, reason);

        emit Transfer(account, address(0), amount);
    }

    function incrementBalanceOfStaged(address account, uint256 amount) internal {
        _state.accounts[account].staged = _state.accounts[account].staged.add(amount);
        _state.balance.staged = _state.balance.staged.add(amount);
    }

    function decrementBalanceOfStaged(address account, uint256 amount, string memory reason) internal {
        _state.accounts[account].staged = _state.accounts[account].staged.sub(amount, reason);
        _state.balance.staged = _state.balance.staged.sub(amount, reason);
    }

    function incrementBalanceOfCoupons(address account, uint256 epoch, uint256 amount) internal {
        _state.accounts[account].coupons[epoch] = _state.accounts[account].coupons[epoch].add(amount);
        _state.epochs[epoch].coupons.outstanding = _state.epochs[epoch].coupons.outstanding.add(amount);
        _state.balance.coupons = _state.balance.coupons.add(amount);
    }

    function decrementBalanceOfCoupons(address account, uint256 epoch, uint256 amount, string memory reason) internal {
        _state.accounts[account].coupons[epoch] = _state.accounts[account].coupons[epoch].sub(amount, reason);
        _state.epochs[epoch].coupons.outstanding = _state.epochs[epoch].coupons.outstanding.sub(amount, reason);
        _state.balance.coupons = _state.balance.coupons.sub(amount, reason);
    }

    function unfreeze(address account) internal {
        _state.accounts[account].fluidUntil = epoch().add(Constants.getDAOExitLockupEpochs());
    }

    function updateAllowanceCoupons(address owner, address spender, uint256 amount) internal {
        _state.accounts[owner].couponAllowances[spender] = amount;
    }

    function decrementAllowanceCoupons(address owner, address spender, uint256 amount, string memory reason) internal {
        _state.accounts[owner].couponAllowances[spender] =
            _state.accounts[owner].couponAllowances[spender].sub(amount, reason);
    }

    /**
     * Epoch
     */

    function incrementEpoch() internal {
        _state.epoch.current = _state.epoch.current.add(1);
    }

    function snapshotTotalBonded() internal {
        _state.epochs[epoch()].bonded = totalSupply();
    }

    function initializeCouponsExpiration(uint256 epoch, uint256 expiration) internal {
        _state.epochs[epoch].coupons.expiration = expiration;
        _state.epochs[expiration].coupons.expiring.push(epoch);
    }

    function eliminateOutstandingCoupons(uint256 epoch) internal {
        uint256 outstandingCouponsForEpoch = outstandingCoupons(epoch);
        if(outstandingCouponsForEpoch == 0) {
            return;
        }
        _state.balance.coupons = _state.balance.coupons.sub(outstandingCouponsForEpoch);
        _state.epochs[epoch].coupons.outstanding = 0;
    }

    /**
     * Governance
     */

    function createCandidate(address candidate, uint256 period) internal {
        _state.candidates[candidate].start = epoch();
        _state.candidates[candidate].period = period;
    }

    function recordVote(address account, address candidate, Candidate.Vote vote) internal {
        _state.candidates[candidate].votes[account] = vote;
    }

    function incrementApproveFor(address candidate, uint256 amount) internal {
        _state.candidates[candidate].approve = _state.candidates[candidate].approve.add(amount);
    }

    function decrementApproveFor(address candidate, uint256 amount, string memory reason) internal {
        _state.candidates[candidate].approve = _state.candidates[candidate].approve.sub(amount, reason);
    }

    function incrementRejectFor(address candidate, uint256 amount) internal {
        _state.candidates[candidate].reject = _state.candidates[candidate].reject.add(amount);
    }

    function decrementRejectFor(address candidate, uint256 amount, string memory reason) internal {
        _state.candidates[candidate].reject = _state.candidates[candidate].reject.sub(amount, reason);
    }

    function placeLock(address account, address candidate) internal {
        uint256 currentLock = _state.accounts[account].lockedUntil;
        uint256 newLock = startFor(candidate).add(periodFor(candidate));
        if (newLock > currentLock) {
            _state.accounts[account].lockedUntil = newLock;
        }
    }

    function initialized(address candidate) internal {
        _state.candidates[candidate].initialized = true;
    }
}

/*
    Copyright 2020 Dynamic Dollar Devs, based on the works of the Empty Set Squad

    Licensed under the Apache License, Version 2.0 (the "License");
    you may not use this file except in compliance with the License.
    You may obtain a copy of the License at

    http://www.apache.org/licenses/LICENSE-2.0

    Unless required by applicable law or agreed to in writing, software
    distributed under the License is distributed on an "AS IS" BASIS,
    WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
    See the License for the specific language governing permissions and
    limitations under the License.
*/
contract Permission is Setters {

    bytes32 private constant FILE = "Permission";

    // Can modify account state
    modifier onlyFrozenOrFluid(address account) {
        Require.that(
            statusOf(account) != Account.Status.Locked,
            FILE,
            "Not frozen or fluid"
        );

        _;
    }

    // Can participate in balance-dependant activities
    modifier onlyFrozenOrLocked(address account) {
        Require.that(
            statusOf(account) != Account.Status.Fluid,
            FILE,
            "Not frozen or locked"
        );

        _;
    }

    modifier initializer() {
        Require.that(
            !isInitialized(implementation()),
            FILE,
            "Already initialized"
        );

        initialized(implementation());

        _;
    }
}

/*
    Copyright 2020 Dynamic Dollar Devs, based on the works of the Empty Set Squad

    Licensed under the Apache License, Version 2.0 (the "License");
    you may not use this file except in compliance with the License.
    You may obtain a copy of the License at

    http://www.apache.org/licenses/LICENSE-2.0

    Unless required by applicable law or agreed to in writing, software
    distributed under the License is distributed on an "AS IS" BASIS,
    WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
    See the License for the specific language governing permissions and
    limitations under the License.
*/
contract Deployer1 is State, Permission, Upgradeable {
    function initialize() initializer public {
        _state.provider.dollar = new Dollar();
    }

    function implement(address implementation) external {
        upgradeTo(implementation);
    }
}

contract Deployer2 is State, Permission, Upgradeable {
    function initialize() initializer public {
        _state.provider.oracle = new Oracle(address(dollar()));
        oracle().setup();
    }

    function implement(address implementation) external {
        upgradeTo(implementation);
    }
}

contract Deployer3 is State, Permission, Upgradeable {
    function initialize() initializer public {
        _state.provider.pool = address(new Pool(address(dollar()), address(oracle().pair())));
    }

    function implement(address implementation) external {
        upgradeTo(implementation);
    }
}