Contract Address Details

// Sources flattened with hardhat v2.22.10 https://hardhat.org

// SPDX-License-Identifier: MIT

// File @openzeppelin/contracts/utils/Context.sol@v3.4.0

// Original license: SPDX_License_Identifier: MIT

pragma solidity >=0.6.0 <0.8.0;

/*
 * @dev Provides information about the current execution context, including the
 * sender of the transaction and its data. While these are generally available
 * via msg.sender and msg.data, they should not be accessed in such a direct
 * manner, since when dealing with GSN meta-transactions the account sending and
 * paying for execution may not be the actual sender (as far as an application
 * is concerned).
 *
 * This contract is only required for intermediate, library-like contracts.
 */
abstract contract Context {
    function _msgSender() internal view virtual returns (address payable) {
        return msg.sender;
    }

    function _msgData() internal view virtual returns (bytes memory) {
        this; // silence state mutability warning without generating bytecode - see https://github.com/ethereum/solidity/issues/2691
        return msg.data;
    }
}


// File @openzeppelin/contracts/access/Ownable.sol@v3.4.0

// Original license: SPDX_License_Identifier: MIT

pragma solidity >=0.6.0 <0.8.0;

/**
 * @dev Contract module which provides a basic access control mechanism, where
 * there is an account (an owner) that can be granted exclusive access to
 * specific functions.
 *
 * By default, the owner account will be the one that deploys the contract. This
 * can later be changed with {transferOwnership}.
 *
 * This module is used through inheritance. It will make available the modifier
 * `onlyOwner`, which can be applied to your functions to restrict their use to
 * the owner.
 */
abstract contract Ownable is Context {
    address private _owner;

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

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

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

    /**
     * @dev Throws if called by any account other than the owner.
     */
    modifier onlyOwner() {
        require(owner() == _msgSender(), "Ownable: caller is not the owner");
        _;
    }

    /**
     * @dev Leaves the contract without owner. It will not be possible to call
     * `onlyOwner` functions anymore. Can only be called by the current owner.
     *
     * NOTE: Renouncing ownership will leave the contract without an owner,
     * thereby removing any functionality that is only available to the owner.
     */
    function renounceOwnership() public virtual onlyOwner {
        emit OwnershipTransferred(_owner, address(0));
        _owner = address(0);
    }

    /**
     * @dev Transfers ownership of the contract to a new account (`newOwner`).
     * Can only be called by the current owner.
     */
    function transferOwnership(address newOwner) public virtual onlyOwner {
        require(newOwner != address(0), "Ownable: new owner is the zero address");
        emit OwnershipTransferred(_owner, newOwner);
        _owner = newOwner;
    }
}


// File @openzeppelin/contracts/math/SafeMath.sol@v3.4.0

// Original license: SPDX_License_Identifier: MIT

pragma solidity >=0.6.0 <0.8.0;

/**
 * @dev Wrappers over Solidity's arithmetic operations with added overflow
 * checks.
 *
 * Arithmetic operations in Solidity wrap on overflow. This can easily result
 * in bugs, because programmers usually assume that an overflow raises an
 * error, which is the standard behavior in high level programming languages.
 * `SafeMath` restores this intuition by reverting the transaction when an
 * operation overflows.
 *
 * Using this library instead of the unchecked operations eliminates an entire
 * class of bugs, so it's recommended to use it always.
 */
library SafeMath {
    /**
     * @dev Returns the addition of two unsigned integers, with an overflow flag.
     *
     * _Available since v3.4._
     */
    function tryAdd(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        uint256 c = a + b;
        if (c < a) return (false, 0);
        return (true, c);
    }

    /**
     * @dev Returns the substraction of two unsigned integers, with an overflow flag.
     *
     * _Available since v3.4._
     */
    function trySub(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        if (b > a) return (false, 0);
        return (true, a - b);
    }

    /**
     * @dev Returns the multiplication of two unsigned integers, with an overflow flag.
     *
     * _Available since v3.4._
     */
    function tryMul(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
        // benefit is lost if 'b' is also tested.
        // See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522
        if (a == 0) return (true, 0);
        uint256 c = a * b;
        if (c / a != b) return (false, 0);
        return (true, c);
    }

    /**
     * @dev Returns the division of two unsigned integers, with a division by zero flag.
     *
     * _Available since v3.4._
     */
    function tryDiv(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        if (b == 0) return (false, 0);
        return (true, a / b);
    }

    /**
     * @dev Returns the remainder of dividing two unsigned integers, with a division by zero flag.
     *
     * _Available since v3.4._
     */
    function tryMod(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        if (b == 0) return (false, 0);
        return (true, a % b);
    }

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

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

    /**
     * @dev Returns the multiplication of two unsigned integers, reverting on
     * overflow.
     *
     * Counterpart to Solidity's `*` operator.
     *
     * Requirements:
     *
     * - Multiplication cannot overflow.
     */
    function mul(uint256 a, uint256 b) internal pure returns (uint256) {
        if (a == 0) return 0;
        uint256 c = a * b;
        require(c / a == b, "SafeMath: multiplication overflow");
        return c;
    }

    /**
     * @dev Returns the integer division of two unsigned integers, reverting on
     * division by zero. The result is rounded towards zero.
     *
     * Counterpart to Solidity's `/` operator. Note: this function uses a
     * `revert` opcode (which leaves remaining gas untouched) while Solidity
     * uses an invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function div(uint256 a, uint256 b) internal pure returns (uint256) {
        require(b > 0, "SafeMath: division by zero");
        return a / b;
    }

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

    /**
     * @dev Returns the subtraction of two unsigned integers, reverting with custom message on
     * overflow (when the result is negative).
     *
     * CAUTION: This function is deprecated because it requires allocating memory for the error
     * message unnecessarily. For custom revert reasons use {trySub}.
     *
     * Counterpart to Solidity's `-` operator.
     *
     * Requirements:
     *
     * - Subtraction cannot overflow.
     */
    function sub(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b <= a, errorMessage);
        return a - b;
    }

    /**
     * @dev Returns the integer division of two unsigned integers, reverting with custom message on
     * division by zero. The result is rounded towards zero.
     *
     * CAUTION: This function is deprecated because it requires allocating memory for the error
     * message unnecessarily. For custom revert reasons use {tryDiv}.
     *
     * Counterpart to Solidity's `/` operator. Note: this function uses a
     * `revert` opcode (which leaves remaining gas untouched) while Solidity
     * uses an invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function div(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b > 0, errorMessage);
        return a / b;
    }

    /**
     * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
     * reverting with custom message when dividing by zero.
     *
     * CAUTION: This function is deprecated because it requires allocating memory for the error
     * message unnecessarily. For custom revert reasons use {tryMod}.
     *
     * Counterpart to Solidity's `%` operator. This function uses a `revert`
     * opcode (which leaves remaining gas untouched) while Solidity uses an
     * invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function mod(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b > 0, errorMessage);
        return a % b;
    }
}


// File @openzeppelin/contracts/token/ERC20/IERC20.sol@v3.4.0

// Original license: SPDX_License_Identifier: MIT

pragma solidity >=0.6.0 <0.8.0;

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

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

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

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

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

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

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

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


// File @openzeppelin/contracts/token/ERC20/ERC20.sol@v3.4.0

// Original license: SPDX_License_Identifier: MIT

pragma solidity >=0.6.0 <0.8.0;



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

    mapping (address => uint256) private _balances;

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

    uint256 private _totalSupply;

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

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

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

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

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

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

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

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

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

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

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

    /**
     * @dev Atomically increases the allowance granted to `spender` by the caller.
     *
     * This is an alternative to {approve} that can be used as a mitigation for
     * problems described in {IERC20-approve}.
     *
     * Emits an {Approval} event indicating the updated allowance.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     */
    function increaseAllowance(address spender, uint256 addedValue) public virtual returns (bool) {
        _approve(_msgSender(), spender, _allowances[_msgSender()][spender].add(addedValue));
        return true;
    }

    /**
     * @dev Atomically decreases the allowance granted to `spender` by the caller.
     *
     * This is an alternative to {approve} that can be used as a mitigation for
     * problems described in {IERC20-approve}.
     *
     * Emits an {Approval} event indicating the updated allowance.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     * - `spender` must have allowance for the caller of at least
     * `subtractedValue`.
     */
    function decreaseAllowance(address spender, uint256 subtractedValue) public virtual returns (bool) {
        _approve(_msgSender(), spender, _allowances[_msgSender()][spender].sub(subtractedValue, "ERC20: decreased allowance below zero"));
        return true;
    }

    /**
     * @dev Moves tokens `amount` from `sender` to `recipient`.
     *
     * This is internal function is equivalent to {transfer}, and can be used to
     * e.g. implement automatic token fees, slashing mechanisms, etc.
     *
     * Emits a {Transfer} event.
     *
     * Requirements:
     *
     * - `sender` cannot be the zero address.
     * - `recipient` cannot be the zero address.
     * - `sender` must have a balance of at least `amount`.
     */
    function _transfer(address sender, address recipient, uint256 amount) internal virtual {
        require(sender != address(0), "ERC20: transfer from the zero address");
        require(recipient != address(0), "ERC20: transfer to the zero address");

        _beforeTokenTransfer(sender, recipient, amount);

        _balances[sender] = _balances[sender].sub(amount, "ERC20: transfer amount exceeds balance");
        _balances[recipient] = _balances[recipient].add(amount);
        emit Transfer(sender, recipient, amount);
    }

    /** @dev Creates `amount` tokens and assigns them to `account`, increasing
     * the total supply.
     *
     * Emits a {Transfer} event with `from` set to the zero address.
     *
     * Requirements:
     *
     * - `to` cannot be the zero address.
     */
    function _mint(address account, uint256 amount) internal virtual {
        require(account != address(0), "ERC20: mint to the zero address");

        _beforeTokenTransfer(address(0), account, amount);

        _totalSupply = _totalSupply.add(amount);
        _balances[account] = _balances[account].add(amount);
        emit Transfer(address(0), account, amount);
    }

    /**
     * @dev Destroys `amount` tokens from `account`, reducing the
     * total supply.
     *
     * Emits a {Transfer} event with `to` set to the zero address.
     *
     * Requirements:
     *
     * - `account` cannot be the zero address.
     * - `account` must have at least `amount` tokens.
     */
    function _burn(address account, uint256 amount) internal virtual {
        require(account != address(0), "ERC20: burn from the zero address");

        _beforeTokenTransfer(account, address(0), amount);

        _balances[account] = _balances[account].sub(amount, "ERC20: burn amount exceeds balance");
        _totalSupply = _totalSupply.sub(amount);
        emit Transfer(account, address(0), amount);
    }

    /**
     * @dev Sets `amount` as the allowance of `spender` over the `owner` s tokens.
     *
     * This internal function is equivalent to `approve`, and can be used to
     * e.g. set automatic allowances for certain subsystems, etc.
     *
     * Emits an {Approval} event.
     *
     * Requirements:
     *
     * - `owner` cannot be the zero address.
     * - `spender` cannot be the zero address.
     */
    function _approve(address owner, address spender, uint256 amount) internal virtual {
        require(owner != address(0), "ERC20: approve from the zero address");
        require(spender != address(0), "ERC20: approve to the zero address");

        _allowances[owner][spender] = amount;
        emit Approval(owner, spender, amount);
    }

    /**
     * @dev Sets {decimals} to a value other than the default one of 18.
     *
     * WARNING: This function should only be called from the constructor. Most
     * applications that interact with token contracts will not expect
     * {decimals} to ever change, and may work incorrectly if it does.
     */
    function _setupDecimals(uint8 decimals_) internal virtual {
        _decimals = decimals_;
    }

    /**
     * @dev Hook that is called before any transfer of tokens. This includes
     * minting and burning.
     *
     * Calling conditions:
     *
     * - when `from` and `to` are both non-zero, `amount` of ``from``'s tokens
     * will be to transferred to `to`.
     * - when `from` is zero, `amount` tokens will be minted for `to`.
     * - when `to` is zero, `amount` of ``from``'s tokens will be burned.
     * - `from` and `to` are never both zero.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _beforeTokenTransfer(address from, address to, uint256 amount) internal virtual { }
}


// File contracts/interfaces/IKayenToken.sol

// Original license: SPDX_License_Identifier: MIT
pragma solidity =0.7.6;

interface IKayenToken is IERC20{
  function lastEmissionTime() external view returns (uint256);

  function claimMasterRewards(uint256 amount) external returns (uint256 effectiveAmount);
  function masterEmissionRate() external view returns (uint256);
  function burn(uint256 amount) external;
}


// File @openzeppelin/contracts/math/Math.sol@v3.4.0

// Original license: SPDX_License_Identifier: MIT

pragma solidity >=0.6.0 <0.8.0;

/**
 * @dev Standard math utilities missing in the Solidity language.
 */
library Math {
    /**
     * @dev Returns the largest of two numbers.
     */
    function max(uint256 a, uint256 b) internal pure returns (uint256) {
        return a >= b ? a : b;
    }

    /**
     * @dev Returns the smallest of two numbers.
     */
    function min(uint256 a, uint256 b) internal pure returns (uint256) {
        return a < b ? a : b;
    }

    /**
     * @dev Returns the average of two numbers. The result is rounded towards
     * zero.
     */
    function average(uint256 a, uint256 b) internal pure returns (uint256) {
        // (a + b) / 2 can overflow, so we distribute
        return (a / 2) + (b / 2) + ((a % 2 + b % 2) / 2);
    }
}


// File contracts/tokens/KayenToken.sol

// Original license: SPDX_License_Identifier: MIT
pragma solidity =0.7.6;




/*
 * KAYEN is Kayen's native ERC20 token.
 * It has an hard cap and manages its own emissions and allocations.
 */
contract KayenToken is Ownable, ERC20("Kayen token", "KAYEN"), IKayenToken {
  using SafeMath for uint256;

  uint256 public constant MAX_EMISSION_RATE = 5 ether;
  uint256 public constant MAX_SUPPLY_LIMIT = 88000000 ether;
  uint256 public elasticMaxSupply; // Once deployed, controlled through governance only
  uint256 public emissionRate; // Token emission per second

  uint256 public override lastEmissionTime;
  uint256 public masterReserve; // Pending rewards for the master

  uint256 public constant ALLOCATION_PRECISION = 100;
  // Allocations emitted over time. When < 100%, the rest is minted into the treasury (default 15%)
  uint256 public farmingAllocation = 50; // = 50%
  uint256 public legacyAllocation; // V1 holders allocation

  address public masterAddress;
  address public treasuryAddress;

  address public constant BURN_ADDRESS = 0x000000000000000000000000000000000000dEaD;

  constructor(uint256 maxSupply_, uint256 initialSupply, uint256 initialEmissionRate, address treasuryAddress_) {
    require(initialEmissionRate <= MAX_EMISSION_RATE, "invalid emission rate");
    require(maxSupply_ <= MAX_SUPPLY_LIMIT, "invalid initial maxSupply");
    require(initialSupply < maxSupply_, "invalid initial supply");
    require(treasuryAddress_ != address(0), "invalid treasury address");

    elasticMaxSupply = maxSupply_;
    emissionRate = initialEmissionRate;
    treasuryAddress = treasuryAddress_;

    _mint(msg.sender, initialSupply);
  }


  /********************************************/
  /****************** EVENTS ******************/
  /********************************************/

  event ClaimMasterRewards(uint256 amount);
  event AllocationsDistributed(uint256 masterShare, uint256 treasuryShare);
  event InitializeMasterAddress(address masterAddress);
  event InitializeEmissionStart(uint256 startTime);
  event UpdateAllocations(uint256 farmingAllocation, uint256 legacyAllocation, uint256 treasuryAllocation);
  event UpdateEmissionRate(uint256 previousEmissionRate, uint256 newEmissionRate);
  event UpdateMaxSupply(uint256 previousMaxSupply, uint256 newMaxSupply);
  event UpdateTreasuryAddress(address previousTreasuryAddress, address newTreasuryAddress);

  /***********************************************/
  /****************** MODIFIERS ******************/
  /***********************************************/

  /*
   * @dev Throws error if called by any account other than the master
   */
  modifier onlyMaster() {
    require(msg.sender == masterAddress, "KayenToken: caller is not the master");
    _;
  }


  /**************************************************/
  /****************** PUBLIC VIEWS ******************/
  /**************************************************/

  /**
   * @dev Returns total master allocation
   */
  function masterAllocation() public view returns (uint256) {
    return farmingAllocation.add(legacyAllocation);
  }

  /**
   * @dev Returns master emission rate
   */
  function masterEmissionRate() public view override returns (uint256) {
    return emissionRate.mul(farmingAllocation.add(legacyAllocation)).div(ALLOCATION_PRECISION);
  }

  /**
   * @dev Returns treasury allocation
   */
  function treasuryAllocation() public view returns (uint256) {
    return uint256(ALLOCATION_PRECISION).sub(masterAllocation());
  }


  /*****************************************************************/
  /******************  EXTERNAL PUBLIC FUNCTIONS  ******************/
  /*****************************************************************/

  /**
   * @dev Mint rewards and distribute it between master and treasury
   *
   * Treasury share is directly minted to the treasury address
   * Master incentives are minted into this contract and claimed later by the master contract
   */
  function emitAllocations() public {
    uint256 circulatingSupply = totalSupply();
    uint256 currentBlockTimestamp = _currentBlockTimestamp();

    uint256 _lastEmissionTime = lastEmissionTime; // gas saving
    uint256 _maxSupply = elasticMaxSupply; // gas saving

    // if already up to date or not started
    if (currentBlockTimestamp <= _lastEmissionTime || _lastEmissionTime == 0) {
      return;
    }

    // if max supply is already reached or emissions deactivated
    if (_maxSupply <= circulatingSupply || emissionRate == 0) {
      lastEmissionTime = currentBlockTimestamp;
      return;
    }

    uint256 newEmissions = currentBlockTimestamp.sub(_lastEmissionTime).mul(emissionRate);

    // cap new emissions if exceeding max supply
    if(_maxSupply < circulatingSupply.add(newEmissions)) {
      newEmissions = _maxSupply.sub(circulatingSupply);
    }

    // calculate master and treasury shares from new emissions
    uint256 masterShare = newEmissions.mul(masterAllocation()).div(ALLOCATION_PRECISION);
    // sub to avoid rounding errors
    uint256 treasuryShare = newEmissions.sub(masterShare);

    lastEmissionTime = currentBlockTimestamp;

    // add master shares to its claimable reserve
    masterReserve = masterReserve.add(masterShare);
    // mint shares
    _mint(address(this), masterShare);
    _mint(treasuryAddress, treasuryShare);

    emit AllocationsDistributed(masterShare, treasuryShare);
  }

  /**
   * @dev Sends to Master contract the asked "amount" from masterReserve
   *
   * Can only be called by the MasterContract
   */
  function claimMasterRewards(uint256 amount) external override onlyMaster returns (uint256 effectiveAmount) {
    // update emissions
    emitAllocations();

    // cap asked amount with available reserve
    effectiveAmount = Math.min(masterReserve, amount);

    // if no rewards to transfer
    if (effectiveAmount == 0) {
      return effectiveAmount;
    }

    // remove claimed rewards from reserve and transfer to master
    masterReserve = masterReserve.sub(effectiveAmount);
    _transfer(address(this), masterAddress, effectiveAmount);
    emit ClaimMasterRewards(effectiveAmount);
  }

  /**
   * @dev Burns "amount" of kayen by sending it to BURN_ADDRESS
   */
  function burn(uint256 amount) external override {
    _transfer(msg.sender, BURN_ADDRESS, amount);
  }

  /*****************************************************************/
  /****************** EXTERNAL OWNABLE FUNCTIONS  ******************/
  /*****************************************************************/

  /**
   * @dev Setup Master contract address
   *
   * Can only be initialized once
   * Must only be called by the owner
   */
  function initializeMasterAddress(address masterAddress_) external onlyOwner {
    require(masterAddress == address(0), "initializeMasterAddress: master already initialized");
    require(masterAddress_ != address(0), "initializeMasterAddress: master initialized to zero address");

    masterAddress = masterAddress_;
    emit InitializeMasterAddress(masterAddress_);
  }

  /**
   * @dev Set emission start time
   *
   * Can only be initialized once
   * Must only be called by the owner
   */
  function initializeEmissionStart(uint256 startTime) external onlyOwner {
    require(lastEmissionTime == 0, "initializeEmissionStart: emission start already initialized");
    require(_currentBlockTimestamp() < startTime, "initializeEmissionStart: invalid");

    lastEmissionTime = startTime;
    emit InitializeEmissionStart(startTime);
  }

  /**
   * @dev Updates emission allocations between farming incentives, legacy holders and treasury (remaining share)
   *
   * Must only be called by the owner
   */
  function updateAllocations(uint256 farmingAllocation_, uint256 legacyAllocation_) external onlyOwner {
    // apply emissions before changes
    emitAllocations();

    // total sum of allocations can't be > 100%
    uint256 totalAllocationsSet = farmingAllocation_.add(legacyAllocation_);
    require(totalAllocationsSet <= 100, "updateAllocations: total allocation is too high");

    // set new allocations
    farmingAllocation = farmingAllocation_;
    legacyAllocation = legacyAllocation_;

    emit UpdateAllocations(farmingAllocation_, legacyAllocation_, treasuryAllocation());
  }

  /**
   * @dev Updates kayen emission rate per second
   *
   * Must only be called by the owner
   */
  function updateEmissionRate(uint256 emissionRate_) external onlyOwner {
    require(emissionRate_ <= MAX_EMISSION_RATE, "updateEmissionRate: can't exceed maximum");

    // apply emissions before changes
    emitAllocations();

    emit UpdateEmissionRate(emissionRate, emissionRate_);
    emissionRate = emissionRate_;
  }

  /**
   * @dev Updates kayen max supply
   *
   * Must only be called by the owner
   */
  function updateMaxSupply(uint256 maxSupply_) external onlyOwner {
    require(maxSupply_ >= totalSupply(), "updateMaxSupply: can't be lower than current circulating supply");
    require(maxSupply_ <= MAX_SUPPLY_LIMIT, "updateMaxSupply: invalid maxSupply");

    emit UpdateMaxSupply(elasticMaxSupply, maxSupply_);
    elasticMaxSupply = maxSupply_;
  }

  /**
   * @dev Updates treasury address
   *
   * Must only be called by owner
   */
  function updateTreasuryAddress(address treasuryAddress_) external onlyOwner {
    require(treasuryAddress_ != address(0), "updateTreasuryAddress: invalid address");

    emit UpdateTreasuryAddress(treasuryAddress, treasuryAddress_);
    treasuryAddress = treasuryAddress_;
  }


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

  /**
   * @dev Utility function to get the current block timestamp
   */
  function _currentBlockTimestamp() internal view virtual returns (uint256) {
    /* solhint-disable not-rely-on-time */
    return block.timestamp;
  }
}