/*
    ___            _       ___  _                          
    | .\ ___  _ _ <_> ___ | __><_>._ _  ___ ._ _  ___  ___ 
    |  _// ._>| '_>| ||___|| _> | || ' |<_> || ' |/ | '/ ._>
    |_|  \___.|_|  |_|     |_|  |_||_|_|<___||_|_|\_|_.\___.
    
* PeriFinance: SupplySchedule.sol
*
* Latest source (may be newer): https://github.com/perifinance/peri-finance/blob/master/contracts/SupplySchedule.sol
* Docs: Will be added in the future. 
* https://docs.peri.finance/contracts/source/contracts/SupplySchedule
*
* Contract Dependencies: 
*	- ISupplySchedule
*	- Owned
* Libraries: 
*	- Math
*	- SafeDecimalMath
*	- SafeMath
*
* MIT License
* ===========
*
* Copyright (c) 2021 PeriFinance
*
* Permission is hereby granted, free of charge, to any person obtaining a copy
* of this software and associated documentation files (the "Software"), to deal
* in the Software without restriction, including without limitation the rights
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in all
* copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
*/



pragma solidity 0.5.16;

// https://docs.peri.finance/contracts/source/contracts/owned
contract Owned {
    address public owner;
    address public nominatedOwner;

    constructor(address _owner) public {
        require(_owner != address(0), "Owner address cannot be 0");
        owner = _owner;
        emit OwnerChanged(address(0), _owner);
    }

    function nominateNewOwner(address _owner) external onlyOwner {
        nominatedOwner = _owner;
        emit OwnerNominated(_owner);
    }

    function acceptOwnership() external {
        require(msg.sender == nominatedOwner, "You must be nominated before you can accept ownership");
        emit OwnerChanged(owner, nominatedOwner);
        owner = nominatedOwner;
        nominatedOwner = address(0);
    }

    modifier onlyOwner {
        _onlyOwner();
        _;
    }

    function _onlyOwner() private view {
        require(msg.sender == owner, "Only the contract owner may perform this action");
    }

    event OwnerNominated(address newOwner);
    event OwnerChanged(address oldOwner, address newOwner);
}


// https://docs.peri.finance/contracts/source/interfaces/isupplyschedule
interface ISupplySchedule {
    // Views
    function mintableSupply() external view returns (uint);

    function isMintable() external view returns (bool);

    function minterReward() external view returns (uint);

    // Mutative functions
    function recordMintEvent(uint supplyMinted) external returns (bool);
}


/**
 * @dev Wrappers over Solidity's arithmetic operations with added overflow
 * checks.
 *
 * Arithmetic operations in Solidity wrap on overflow. This can easily result
 * in bugs, because programmers usually assume that an overflow raises an
 * error, which is the standard behavior in high level programming languages.
 * `SafeMath` restores this intuition by reverting the transaction when an
 * operation overflows.
 *
 * Using this library instead of the unchecked operations eliminates an entire
 * class of bugs, so it's recommended to use it always.
 */
library SafeMath {
    /**
     * @dev Returns the addition of two unsigned integers, reverting on
     * overflow.
     *
     * Counterpart to Solidity's `+` operator.
     *
     * Requirements:
     * - Addition cannot overflow.
     */
    function add(uint256 a, uint256 b) internal pure returns (uint256) {
        uint256 c = a + b;
        require(c >= a, "SafeMath: addition overflow");

        return c;
    }

    /**
     * @dev Returns the subtraction of two unsigned integers, reverting on
     * overflow (when the result is negative).
     *
     * Counterpart to Solidity's `-` operator.
     *
     * Requirements:
     * - Subtraction cannot overflow.
     */
    function sub(uint256 a, uint256 b) internal pure returns (uint256) {
        require(b <= a, "SafeMath: subtraction overflow");
        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-solidity/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) {
        // Solidity only automatically asserts when dividing by 0
        require(b > 0, "SafeMath: division by zero");
        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) {
        require(b != 0, "SafeMath: modulo by zero");
        return a % b;
    }
}


// Libraries


// https://docs.peri.finance/contracts/source/libraries/safedecimalmath
library SafeDecimalMath {
    using SafeMath for uint;

    /* Number of decimal places in the representations. */
    uint8 public constant decimals = 18;
    uint8 public constant highPrecisionDecimals = 27;

    /* The number representing 1.0. */
    uint public constant UNIT = 10**uint(decimals);

    /* The number representing 1.0 for higher fidelity numbers. */
    uint public constant PRECISE_UNIT = 10**uint(highPrecisionDecimals);
    uint private constant UNIT_TO_HIGH_PRECISION_CONVERSION_FACTOR = 10**uint(highPrecisionDecimals - decimals);

    /**
     * @return Provides an interface to UNIT.
     */
    function unit() external pure returns (uint) {
        return UNIT;
    }

    /**
     * @return Provides an interface to PRECISE_UNIT.
     */
    function preciseUnit() external pure returns (uint) {
        return PRECISE_UNIT;
    }

    /**
     * @return The result of multiplying x and y, interpreting the operands as fixed-point
     * decimals.
     *
     * @dev A unit factor is divided out after the product of x and y is evaluated,
     * so that product must be less than 2**256. As this is an integer division,
     * the internal division always rounds down. This helps save on gas. Rounding
     * is more expensive on gas.
     */
    function multiplyDecimal(uint x, uint y) internal pure returns (uint) {
        /* Divide by UNIT to remove the extra factor introduced by the product. */
        return x.mul(y) / UNIT;
    }

    /**
     * @return The result of safely multiplying x and y, interpreting the operands
     * as fixed-point decimals of the specified precision unit.
     *
     * @dev The operands should be in the form of a the specified unit factor which will be
     * divided out after the product of x and y is evaluated, so that product must be
     * less than 2**256.
     *
     * Unlike multiplyDecimal, this function rounds the result to the nearest increment.
     * Rounding is useful when you need to retain fidelity for small decimal numbers
     * (eg. small fractions or percentages).
     */
    function _multiplyDecimalRound(
        uint x,
        uint y,
        uint precisionUnit
    ) private pure returns (uint) {
        /* Divide by UNIT to remove the extra factor introduced by the product. */
        uint quotientTimesTen = x.mul(y) / (precisionUnit / 10);

        if (quotientTimesTen % 10 >= 5) {
            quotientTimesTen += 10;
        }

        return quotientTimesTen / 10;
    }

    /**
     * @return The result of safely multiplying x and y, interpreting the operands
     * as fixed-point decimals of a precise unit.
     *
     * @dev The operands should be in the precise unit factor which will be
     * divided out after the product of x and y is evaluated, so that product must be
     * less than 2**256.
     *
     * Unlike multiplyDecimal, this function rounds the result to the nearest increment.
     * Rounding is useful when you need to retain fidelity for small decimal numbers
     * (eg. small fractions or percentages).
     */
    function multiplyDecimalRoundPrecise(uint x, uint y) internal pure returns (uint) {
        return _multiplyDecimalRound(x, y, PRECISE_UNIT);
    }

    /**
     * @return The result of safely multiplying x and y, interpreting the operands
     * as fixed-point decimals of a standard unit.
     *
     * @dev The operands should be in the standard unit factor which will be
     * divided out after the product of x and y is evaluated, so that product must be
     * less than 2**256.
     *
     * Unlike multiplyDecimal, this function rounds the result to the nearest increment.
     * Rounding is useful when you need to retain fidelity for small decimal numbers
     * (eg. small fractions or percentages).
     */
    function multiplyDecimalRound(uint x, uint y) internal pure returns (uint) {
        return _multiplyDecimalRound(x, y, UNIT);
    }

    /**
     * @return The result of safely dividing x and y. The return value is a high
     * precision decimal.
     *
     * @dev y is divided after the product of x and the standard precision unit
     * is evaluated, so the product of x and UNIT must be less than 2**256. As
     * this is an integer division, the result is always rounded down.
     * This helps save on gas. Rounding is more expensive on gas.
     */
    function divideDecimal(uint x, uint y) internal pure returns (uint) {
        /* Reintroduce the UNIT factor that will be divided out by y. */
        return x.mul(UNIT).div(y);
    }

    /**
     * @return The result of safely dividing x and y. The return value is as a rounded
     * decimal in the precision unit specified in the parameter.
     *
     * @dev y is divided after the product of x and the specified precision unit
     * is evaluated, so the product of x and the specified precision unit must
     * be less than 2**256. The result is rounded to the nearest increment.
     */
    function _divideDecimalRound(
        uint x,
        uint y,
        uint precisionUnit
    ) private pure returns (uint) {
        uint resultTimesTen = x.mul(precisionUnit * 10).div(y);

        if (resultTimesTen % 10 >= 5) {
            resultTimesTen += 10;
        }

        return resultTimesTen / 10;
    }

    /**
     * @return The result of safely dividing x and y. The return value is as a rounded
     * standard precision decimal.
     *
     * @dev y is divided after the product of x and the standard precision unit
     * is evaluated, so the product of x and the standard precision unit must
     * be less than 2**256. The result is rounded to the nearest increment.
     */
    function divideDecimalRound(uint x, uint y) internal pure returns (uint) {
        return _divideDecimalRound(x, y, UNIT);
    }

    /**
     * @return The result of safely dividing x and y. The return value is as a rounded
     * high precision decimal.
     *
     * @dev y is divided after the product of x and the high precision unit
     * is evaluated, so the product of x and the high precision unit must
     * be less than 2**256. The result is rounded to the nearest increment.
     */
    function divideDecimalRoundPrecise(uint x, uint y) internal pure returns (uint) {
        return _divideDecimalRound(x, y, PRECISE_UNIT);
    }

    /**
     * @dev Convert a standard decimal representation to a high precision one.
     */
    function decimalToPreciseDecimal(uint i) internal pure returns (uint) {
        return i.mul(UNIT_TO_HIGH_PRECISION_CONVERSION_FACTOR);
    }

    /**
     * @dev Convert a high precision decimal to a standard decimal representation.
     */
    function preciseDecimalToDecimal(uint i) internal pure returns (uint) {
        uint quotientTimesTen = i / (UNIT_TO_HIGH_PRECISION_CONVERSION_FACTOR / 10);

        if (quotientTimesTen % 10 >= 5) {
            quotientTimesTen += 10;
        }

        return quotientTimesTen / 10;
    }

    /**
     * @dev Round down the value with given number
     */
    function roundDownDecimal(uint x, uint d) internal pure returns (uint) {
        return x.div(10**d).mul(10**d);
    }

    /**
     * @dev Round up the value with given number
     */
    function roundUpDecimal(uint x, uint d) internal pure returns (uint) {
        uint _decimal = 10**d;

        if (x % _decimal > 0) {
            x = x.add(10**d);
        }

        return x.div(_decimal).mul(_decimal);
    }
}


// Libraries


// https://docs.peri.finance/contracts/source/libraries/math
library Math {
    using SafeMath for uint;
    using SafeDecimalMath for uint;

    /**
     * @dev Uses "exponentiation by squaring" algorithm where cost is 0(logN)
     * vs 0(N) for naive repeated multiplication.
     * Calculates x^n with x as fixed-point and n as regular unsigned int.
     * Calculates to 18 digits of precision with SafeDecimalMath.unit()
     */
    function powDecimal(uint x, uint n) internal pure returns (uint) {
        // https://mpark.github.io/programming/2014/08/18/exponentiation-by-squaring/

        uint result = SafeDecimalMath.unit();
        while (n > 0) {
            if (n % 2 != 0) {
                result = result.multiplyDecimal(x);
            }
            x = x.multiplyDecimal(x);
            n /= 2;
        }
        return result;
    }
}


// Inheritance


// Internal references


// https://docs.peri.finance/contracts/source/contracts/proxyable
contract Proxyable is Owned {
    // This contract should be treated like an abstract contract

    /* The proxy this contract exists behind. */
    Proxy public proxy;
    Proxy public integrationProxy;

    /* The caller of the proxy, passed through to this contract.
     * Note that every function using this member must apply the onlyProxy or
     * optionalProxy modifiers, otherwise their invocations can use stale values. */
    address public messageSender;

    constructor(address payable _proxy) internal {
        // This contract is abstract, and thus cannot be instantiated directly
        require(owner != address(0), "Owner must be set");

        proxy = Proxy(_proxy);
        emit ProxyUpdated(_proxy);
    }

    function setProxy(address payable _proxy) external onlyOwner {
        proxy = Proxy(_proxy);
        emit ProxyUpdated(_proxy);
    }

    function setIntegrationProxy(address payable _integrationProxy) external onlyOwner {
        integrationProxy = Proxy(_integrationProxy);
    }

    function setMessageSender(address sender) external onlyProxy {
        messageSender = sender;
    }

    modifier onlyProxy {
        _onlyProxy();
        _;
    }

    function _onlyProxy() private view {
        require(Proxy(msg.sender) == proxy || Proxy(msg.sender) == integrationProxy, "Only the proxy can call");
    }

    modifier optionalProxy {
        _optionalProxy();
        _;
    }

    function _optionalProxy() private {
        if (Proxy(msg.sender) != proxy && Proxy(msg.sender) != integrationProxy && messageSender != msg.sender) {
            messageSender = msg.sender;
        }
    }

    modifier optionalProxy_onlyOwner {
        _optionalProxy_onlyOwner();
        _;
    }

    // solhint-disable-next-line func-name-mixedcase
    function _optionalProxy_onlyOwner() private {
        if (Proxy(msg.sender) != proxy && Proxy(msg.sender) != integrationProxy && messageSender != msg.sender) {
            messageSender = msg.sender;
        }
        require(messageSender == owner, "Owner only function");
    }

    event ProxyUpdated(address proxyAddress);
}


// Inheritance


// Internal references


// https://docs.peri.finance/contracts/source/contracts/proxy
contract Proxy is Owned {
    Proxyable public target;

    constructor(address _owner) public Owned(_owner) {}

    function setTarget(Proxyable _target) external onlyOwner {
        target = _target;
        emit TargetUpdated(_target);
    }

    function _emit(
        bytes calldata callData,
        uint numTopics,
        bytes32 topic1,
        bytes32 topic2,
        bytes32 topic3,
        bytes32 topic4
    ) external onlyTarget {
        uint size = callData.length;
        bytes memory _callData = callData;

        assembly {
            /* The first 32 bytes of callData contain its length (as specified by the abi).
             * Length is assumed to be a uint256 and therefore maximum of 32 bytes
             * in length. It is also leftpadded to be a multiple of 32 bytes.
             * This means moving call_data across 32 bytes guarantees we correctly access
             * the data itself. */
            switch numTopics
                case 0 {
                    log0(add(_callData, 32), size)
                }
                case 1 {
                    log1(add(_callData, 32), size, topic1)
                }
                case 2 {
                    log2(add(_callData, 32), size, topic1, topic2)
                }
                case 3 {
                    log3(add(_callData, 32), size, topic1, topic2, topic3)
                }
                case 4 {
                    log4(add(_callData, 32), size, topic1, topic2, topic3, topic4)
                }
        }
    }

    // solhint-disable no-complex-fallback
    function() external payable {
        // Mutable call setting Proxyable.messageSender as this is using call not delegatecall
        target.setMessageSender(msg.sender);

        assembly {
            let free_ptr := mload(0x40)
            calldatacopy(free_ptr, 0, calldatasize)

            /* We must explicitly forward ether to the underlying contract as well. */
            let result := call(gas, sload(target_slot), callvalue, free_ptr, calldatasize, 0, 0)
            returndatacopy(free_ptr, 0, returndatasize)

            if iszero(result) {
                revert(free_ptr, returndatasize)
            }
            return(free_ptr, returndatasize)
        }
    }

    modifier onlyTarget {
        require(Proxyable(msg.sender) == target, "Must be proxy target");
        _;
    }

    event TargetUpdated(Proxyable newTarget);
}


// https://docs.peri.finance/contracts/source/interfaces/ipynth
interface IPynth {
    // Views
    function currencyKey() external view returns (bytes32);

    function transferablePynths(address account) external view returns (uint);

    // Mutative functions
    function transferAndSettle(address to, uint value) external returns (bool);

    function transferFromAndSettle(
        address from,
        address to,
        uint value
    ) external returns (bool);

    // Restricted: used internally to PeriFinance
    function burn(address account, uint amount) external;

    function issue(address account, uint amount) external;
}


interface IVirtualPynth {
    // Views
    function balanceOfUnderlying(address account) external view returns (uint);

    function rate() external view returns (uint);

    function readyToSettle() external view returns (bool);

    function secsLeftInWaitingPeriod() external view returns (uint);

    function settled() external view returns (bool);

    function pynth() external view returns (IPynth);

    // Mutative functions
    function settle(address account) external;
}


// https://docs.peri.finance/contracts/source/interfaces/iperiFinance
interface IPeriFinance {
    // Views
    function getRequiredAddress(bytes32 contractName) external view returns (address);

    function anyPynthOrPERIRateIsInvalid() external view returns (bool anyRateInvalid);

    function availableCurrencyKeys() external view returns (bytes32[] memory);

    function availablePynthCount() external view returns (uint);

    function availablePynths(uint index) external view returns (IPynth);

    function collateral(address account) external view returns (uint);

    function collateralisationRatio(address issuer) external view returns (uint);

    function debtBalanceOf(address issuer, bytes32 currencyKey) external view returns (uint);

    function isWaitingPeriod(bytes32 currencyKey) external view returns (bool);

    function maxIssuablePynths(address issuer) external view returns (uint maxIssuable);

    function externalTokenQuota(
        address _account,
        uint _additionalpUSD,
        uint _additionalExToken,
        bool _isIssue
    ) external view returns (uint);

    function remainingIssuablePynths(address issuer)
        external
        view
        returns (
            uint maxIssuable,
            uint alreadyIssued,
            uint totalSystemDebt
        );

    function maxExternalTokenStakeAmount(address _account, bytes32 _currencyKey)
        external
        view
        returns (uint issueAmountToQuota, uint stakeAmountToQuota);

    function pynths(bytes32 currencyKey) external view returns (IPynth);

    function pynthsByAddress(address pynthAddress) external view returns (bytes32);

    function totalIssuedPynths(bytes32 currencyKey) external view returns (uint);

    function totalIssuedPynthsExcludeEtherCollateral(bytes32 currencyKey) external view returns (uint);

    function transferablePeriFinance(address account) external view returns (uint transferable);

    // Mutative Functions
    function issuePynths(bytes32 _currencyKey, uint _issueAmount) external;

    function issueMaxPynths() external;

    function issuePynthsToMaxQuota(bytes32 _currencyKey) external;

    function burnPynths(bytes32 _currencyKey, uint _burnAmount) external;

    function fitToClaimable() external;

    function exit() external;

    function exchange(
        bytes32 sourceCurrencyKey,
        uint sourceAmount,
        bytes32 destinationCurrencyKey
    ) external returns (uint amountReceived);

    function exchangeOnBehalf(
        address exchangeForAddress,
        bytes32 sourceCurrencyKey,
        uint sourceAmount,
        bytes32 destinationCurrencyKey
    ) external returns (uint amountReceived);

    function exchangeWithTracking(
        bytes32 sourceCurrencyKey,
        uint sourceAmount,
        bytes32 destinationCurrencyKey,
        address originator,
        bytes32 trackingCode
    ) external returns (uint amountReceived);

    function exchangeOnBehalfWithTracking(
        address exchangeForAddress,
        bytes32 sourceCurrencyKey,
        uint sourceAmount,
        bytes32 destinationCurrencyKey,
        address originator,
        bytes32 trackingCode
    ) external returns (uint amountReceived);

    function exchangeWithVirtual(
        bytes32 sourceCurrencyKey,
        uint sourceAmount,
        bytes32 destinationCurrencyKey,
        bytes32 trackingCode
    ) external returns (uint amountReceived, IVirtualPynth vPynth);

    function mint(address _user, uint _amount) external returns (bool);

    function inflationalMint(uint _networkDebtShare) external returns (bool);

    function settle(bytes32 currencyKey)
        external
        returns (
            uint reclaimed,
            uint refunded,
            uint numEntries
        );

    // Liquidations
    function liquidateDelinquentAccount(address account, uint pusdAmount) external returns (bool);

    // Restricted Functions

    function mintSecondary(address account, uint amount) external;

    function mintSecondaryRewards(uint amount) external;

    function burnSecondary(address account, uint amount) external;
}


// https://docs.peri.finance/contracts/source/interfaces/ierc20
interface IERC20 {
    // ERC20 Optional Views
    function name() external view returns (string memory);

    function symbol() external view returns (string memory);

    function decimals() external view returns (uint8);

    // Views
    function totalSupply() external view returns (uint);

    function balanceOf(address owner) external view returns (uint);

    function allowance(address owner, address spender) external view returns (uint);

    // Mutative functions
    function transfer(address to, uint value) external returns (bool);

    function approve(address spender, uint value) external returns (bool);

    function transferFrom(
        address from,
        address to,
        uint value
    ) external returns (bool);

    // Events
    event Transfer(address indexed from, address indexed to, uint value);

    event Approval(address indexed owner, address indexed spender, uint value);
}


// Inheritance


// Libraries


// Internal references


// https://docs.peri.finance/contracts/source/contracts/supplyschedule
contract SupplySchedule is Owned, ISupplySchedule {
    using SafeMath for uint;
    using SafeDecimalMath for uint;
    using Math for uint;

    // Time of the last inflation supply mint event
    uint public lastMintEvent;

    // Counter for number of weeks since the start of supply inflation
    uint public weekCounter;

    uint public minterReward = 0;

    uint public constant INITIAL_WEEKLY_SUPPLY = 76924719527063029689120;

    // Address of the PeriFinanceProxy for the onlyPeriFinance modifier
    address payable public periFinanceProxy;

    // Max PERI rewards for minter
    uint public constant MAX_MINTER_REWARD = 200 ether;

    // How long each inflation period is before mint can be called
    uint public constant MINT_PERIOD_DURATION = 1 weeks;

    uint public constant INFLATION_START_DATE = 1625875200; // Saturday, July 10, 2021 9:00:00 AM GMT+09:00
    uint public constant MINT_BUFFER = 1 days;
    uint8 public constant SUPPLY_DECAY_START = 52;
    uint8 public constant SUPPLY_DECAY_END = 172; // 40 months

    // Weekly percentage decay of inflationary supply from the first 40 weeks of the 75% inflation rate
    uint public constant DECAY_RATE = 12500000000000000; // 1.25% weekly

    // Percentage growth of terminal supply per annum
    uint public constant TERMINAL_SUPPLY_RATE_ANNUAL = 50000000000000000; // 5% pa

    constructor(
        address _owner,
        uint _lastMintEvent,
        uint _currentWeek
    ) public Owned(_owner) {
        lastMintEvent = _lastMintEvent;
        weekCounter = _currentWeek;
    }

    // ========== VIEWS ==========

    /**
     * @return The amount of PERI mintable for the inflationary supply
     */
    function mintableSupply() external view returns (uint) {
        uint totalAmount;

        if (!isMintable()) {
            return totalAmount;
        }

        uint remainingWeeksToMint = weeksSinceLastIssuance();

        uint currentWeek = weekCounter;

        // Calculate total mintable supply from exponential decay function
        // The decay function stops after week 234
        while (remainingWeeksToMint > 0) {
            currentWeek++;

            if (currentWeek < SUPPLY_DECAY_START) {
                // If current week is before supply decay we add initial supply to mintableSupply
                totalAmount = totalAmount.add(INITIAL_WEEKLY_SUPPLY);
                remainingWeeksToMint--;
            } else if (currentWeek <= SUPPLY_DECAY_END) {
                // if current week before supply decay ends we add the new supply for the week
                // diff between current week and (supply decay start week - 1)
                uint decayCount = currentWeek.sub(SUPPLY_DECAY_START - 1);

                totalAmount = totalAmount.add(tokenDecaySupplyForWeek(decayCount));
                remainingWeeksToMint--;
            } else {
                // Terminal supply is calculated on the total supply of PeriFinance including any new supply
                // We can compound the remaining week's supply at the fixed terminal rate
                uint totalSupply = IERC20(periFinanceProxy).totalSupply();
                uint currentTotalSupply = totalSupply.add(totalAmount);

                totalAmount = totalAmount.add(terminalInflationSupply(currentTotalSupply, remainingWeeksToMint));
                remainingWeeksToMint = 0;
            }
        }

        return totalAmount;
    }

    /**
     * @return A unit amount of decaying inflationary supply from the INITIAL_WEEKLY_SUPPLY
     * @dev New token supply reduces by the decay rate each week calculated as supply = INITIAL_WEEKLY_SUPPLY * ()
     */
    function tokenDecaySupplyForWeek(uint counter) public pure returns (uint) {
        // Apply exponential decay function to number of weeks since
        // start of inflation smoothing to calculate diminishing supply for the week.
        uint effectiveDecay = (SafeDecimalMath.unit().sub(DECAY_RATE)).powDecimal(counter);
        uint supplyForWeek = INITIAL_WEEKLY_SUPPLY.multiplyDecimal(effectiveDecay);

        return supplyForWeek;
    }

    /**
     * @return A unit amount of terminal inflation supply
     * @dev Weekly compound rate based on number of weeks
     */
    function terminalInflationSupply(uint totalSupply, uint numOfWeeks) public pure returns (uint) {
        // rate = (1 + weekly rate) ^ num of weeks
        uint effectiveCompoundRate = SafeDecimalMath.unit().add(TERMINAL_SUPPLY_RATE_ANNUAL.div(52)).powDecimal(numOfWeeks);

        // return Supply * (effectiveRate - 1) for extra supply to issue based on number of weeks
        return totalSupply.multiplyDecimal(effectiveCompoundRate.sub(SafeDecimalMath.unit()));
    }

    /**
     * @dev Take timeDiff in seconds (Dividend) and MINT_PERIOD_DURATION as (Divisor)
     * @return Calculate the numberOfWeeks since last mint rounded down to 1 week
     */
    function weeksSinceLastIssuance() public view returns (uint) {
        // Get weeks since lastMintEvent
        // If lastMintEvent not set or 0, then start from inflation start date.
        uint timeDiff = lastMintEvent > 0 ? now.sub(lastMintEvent) : now.sub(INFLATION_START_DATE);
        return timeDiff.div(MINT_PERIOD_DURATION);
    }

    /**
     * @return boolean whether the MINT_PERIOD_DURATION (7 days)
     * has passed since the lastMintEvent.
     * */
    function isMintable() public view returns (bool) {
        if (now - lastMintEvent > MINT_PERIOD_DURATION) {
            return true;
        }
        return false;
    }

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

    /**
     * @notice Record the mint event from PeriFinance by incrementing the inflation
     * week counter for the number of weeks minted (probabaly always 1)
     * and store the time of the event.
     * @param supplyMinted the amount of PERI the total supply was inflated by.
     * */
    function recordMintEvent(uint supplyMinted) external onlyPeriFinance returns (bool) {
        uint numberOfWeeksIssued = weeksSinceLastIssuance();

        // add number of weeks minted to weekCounter
        weekCounter = weekCounter.add(numberOfWeeksIssued);

        // Update mint event to latest week issued (start date + number of weeks issued * seconds in week)
        // 1 day time buffer is added so inflation is minted after feePeriod closes
        lastMintEvent = INFLATION_START_DATE.add(weekCounter.mul(MINT_PERIOD_DURATION)).add(MINT_BUFFER);

        emit SupplyMinted(supplyMinted, numberOfWeeksIssued, lastMintEvent, now);
        return true;
    }

    /**
     * @notice Sets the reward amount of PERI for the caller of the public
     * function PeriFinance.mint().
     * This incentivises anyone to mint the inflationary supply and the mintr
     * Reward will be deducted from the inflationary supply and sent to the caller.
     * @param amount the amount of PERI to reward the minter.
     * */
    function setMinterReward(uint amount) external onlyOwner {
        require(amount <= MAX_MINTER_REWARD, "Reward cannot exceed max minter reward");
        minterReward = amount;
        emit MinterRewardUpdated(minterReward);
    }

    // ========== SETTERS ========== */

    /**
     * @notice Set the PeriFinanceProxy should it ever change.
     * SupplySchedule requires PeriFinance address as it has the authority
     * to record mint event.
     * */
    function setPeriFinanceProxy(IPeriFinance _periFinanceProxy) external onlyOwner {
        require(address(_periFinanceProxy) != address(0), "Address cannot be 0");
        periFinanceProxy = address(uint160(address(_periFinanceProxy)));
        emit PeriFinanceProxyUpdated(periFinanceProxy);
    }

    // ========== MODIFIERS ==========

    /**
     * @notice Only the PeriFinance contract is authorised to call this function
     * */
    modifier onlyPeriFinance() {
        require(
            msg.sender == address(Proxy(address(periFinanceProxy)).target()),
            "Only the periFinance contract can perform this action"
        );
        _;
    }

    /* ========== EVENTS ========== */
    /**
     * @notice Emitted when the inflationary supply is minted
     * */
    event SupplyMinted(uint supplyMinted, uint numberOfWeeksIssued, uint lastMintEvent, uint timestamp);

    /**
     * @notice Emitted when the PERI minter reward amount is updated
     * */
    event MinterRewardUpdated(uint newRewardAmount);

    /**
     * @notice Emitted when setPeriFinanceProxy is called changing the PeriFinance Proxy address
     * */
    event PeriFinanceProxyUpdated(address newAddress);
}