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/**
 *Submitted for verification at Etherscan.io on 2021-02-14
*/

// Copyright (C) 2020 Maker Ecosystem Growth Holdings, INC, Reflexer Labs, INC.

// This program is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.

// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.

// You should have received a copy of the GNU General Public License
// along with this program.  If not, see <http://www.gnu.org/licenses/>.

pragma solidity 0.6.7;

contract GebMath {
    uint256 public constant RAY = 10 ** 27;
    uint256 public constant WAD = 10 ** 18;

    function ray(uint x) public pure returns (uint z) {
        z = multiply(x, 10 ** 9);
    }
    function rad(uint x) public pure returns (uint z) {
        z = multiply(x, 10 ** 27);
    }
    function minimum(uint x, uint y) public pure returns (uint z) {
        z = (x <= y) ? x : y;
    }
    function addition(uint x, uint y) public pure returns (uint z) {
        z = x + y;
        require(z >= x, "uint-uint-add-overflow");
    }
    function subtract(uint x, uint y) public pure returns (uint z) {
        z = x - y;
        require(z <= x, "uint-uint-sub-underflow");
    }
    function multiply(uint x, uint y) public pure returns (uint z) {
        require(y == 0 || (z = x * y) / y == x, "uint-uint-mul-overflow");
    }
    function rmultiply(uint x, uint y) public pure returns (uint z) {
        z = multiply(x, y) / RAY;
    }
    function rdivide(uint x, uint y) public pure returns (uint z) {
        z = multiply(x, RAY) / y;
    }
    function wdivide(uint x, uint y) public pure returns (uint z) {
        z = multiply(x, WAD) / y;
    }
    function wmultiply(uint x, uint y) public pure returns (uint z) {
        z = multiply(x, y) / WAD;
    }
    function rpower(uint x, uint n, uint base) public pure returns (uint z) {
        assembly {
            switch x case 0 {switch n case 0 {z := base} default {z := 0}}
            default {
                switch mod(n, 2) case 0 { z := base } default { z := x }
                let half := div(base, 2)  // for rounding.
                for { n := div(n, 2) } n { n := div(n,2) } {
                    let xx := mul(x, x)
                    if iszero(eq(div(xx, x), x)) { revert(0,0) }
                    let xxRound := add(xx, half)
                    if lt(xxRound, xx) { revert(0,0) }
                    x := div(xxRound, base)
                    if mod(n,2) {
                        let zx := mul(z, x)
                        if and(iszero(iszero(x)), iszero(eq(div(zx, x), z))) { revert(0,0) }
                        let zxRound := add(zx, half)
                        if lt(zxRound, zx) { revert(0,0) }
                        z := div(zxRound, base)
                    }
                }
            }
        }
    }
}

abstract contract StabilityFeeTreasuryLike {
    function getAllowance(address) virtual external view returns (uint, uint);
    function systemCoin() virtual external view returns (address);
    function pullFunds(address, address, uint) virtual external;
}

contract IncreasingTreasuryReimbursement is GebMath {
    // --- Auth ---
    mapping (address => uint) public authorizedAccounts;
    function addAuthorization(address account) virtual external isAuthorized {
        authorizedAccounts[account] = 1;
        emit AddAuthorization(account);
    }
    function removeAuthorization(address account) virtual external isAuthorized {
        authorizedAccounts[account] = 0;
        emit RemoveAuthorization(account);
    }
    modifier isAuthorized {
        require(authorizedAccounts[msg.sender] == 1, "IncreasingTreasuryReimbursement/account-not-authorized");
        _;
    }

    // --- Variables ---
    // Starting reward for the fee receiver/keeper
    uint256 public baseUpdateCallerReward;          // [wad]
    // Max possible reward for the fee receiver/keeper
    uint256 public maxUpdateCallerReward;           // [wad]
    // Max delay taken into consideration when calculating the adjusted reward
    uint256 public maxRewardIncreaseDelay;          // [seconds]
    // Rate applied to baseUpdateCallerReward every extra second passed beyond a certain point (e.g next time when a specific function needs to be called)
    uint256 public perSecondCallerRewardIncrease;   // [ray]

    // SF treasury
    StabilityFeeTreasuryLike  public treasury;

    // --- Events ---
    event AddAuthorization(address account);
    event RemoveAuthorization(address account);
    event ModifyParameters(
      bytes32 parameter,
      address addr
    );
    event ModifyParameters(
      bytes32 parameter,
      uint256 val
    );
    event FailRewardCaller(bytes revertReason, address feeReceiver, uint256 amount);

    constructor(
      address treasury_,
      uint256 baseUpdateCallerReward_,
      uint256 maxUpdateCallerReward_,
      uint256 perSecondCallerRewardIncrease_
    ) public {
        if (address(treasury_) != address(0)) {
          require(StabilityFeeTreasuryLike(treasury_).systemCoin() != address(0), "IncreasingTreasuryReimbursement/treasury-coin-not-set");
        }
        require(maxUpdateCallerReward_ >= baseUpdateCallerReward_, "IncreasingTreasuryReimbursement/invalid-max-caller-reward");
        require(perSecondCallerRewardIncrease_ >= RAY, "IncreasingTreasuryReimbursement/invalid-per-second-reward-increase");
        authorizedAccounts[msg.sender] = 1;

        treasury                        = StabilityFeeTreasuryLike(treasury_);
        baseUpdateCallerReward          = baseUpdateCallerReward_;
        maxUpdateCallerReward           = maxUpdateCallerReward_;
        perSecondCallerRewardIncrease   = perSecondCallerRewardIncrease_;
        maxRewardIncreaseDelay          = uint(-1);

        emit AddAuthorization(msg.sender);
        emit ModifyParameters("treasury", treasury_);
        emit ModifyParameters("baseUpdateCallerReward", baseUpdateCallerReward);
        emit ModifyParameters("maxUpdateCallerReward", maxUpdateCallerReward);
        emit ModifyParameters("perSecondCallerRewardIncrease", perSecondCallerRewardIncrease);
    }

    // --- Boolean Logic ---
    function either(bool x, bool y) internal pure returns (bool z) {
        assembly{ z := or(x, y)}
    }

    // --- Treasury ---
    /**
    * @notice This returns the stability fee treasury allowance for this contract by taking the minimum between the per block and the total allowances
    **/
    function treasuryAllowance() public view returns (uint256) {
        (uint total, uint perBlock) = treasury.getAllowance(address(this));
        return minimum(total, perBlock);
    }
    /*
    * @notice Get the SF reward that can be sent to a function caller right now
    */
    function getCallerReward(uint256 timeOfLastUpdate, uint256 defaultDelayBetweenCalls) public view returns (uint256) {
        bool nullRewards = (baseUpdateCallerReward == 0 && maxUpdateCallerReward == 0);
        if (either(timeOfLastUpdate >= now, nullRewards)) return 0;
        uint256 timeElapsed = (timeOfLastUpdate == 0) ? defaultDelayBetweenCalls : subtract(now, timeOfLastUpdate);
        if (either(timeElapsed < defaultDelayBetweenCalls, baseUpdateCallerReward == 0)) {
            return 0;
        }
        uint256 adjustedTime      = subtract(timeElapsed, defaultDelayBetweenCalls);
        uint256 maxPossibleReward = minimum(maxUpdateCallerReward, treasuryAllowance() / RAY);
        if (adjustedTime > maxRewardIncreaseDelay) {
            return maxPossibleReward;
        }
        uint256 calculatedReward = baseUpdateCallerReward;
        if (adjustedTime > 0) {
            calculatedReward = rmultiply(rpower(perSecondCallerRewardIncrease, adjustedTime, RAY), calculatedReward);
        }
        if (calculatedReward > maxPossibleReward) {
            calculatedReward = maxPossibleReward;
        }
        return calculatedReward;
    }
    /**
    * @notice Send a stability fee reward to an address
    * @param proposedFeeReceiver The SF receiver
    * @param reward The system coin amount to send
    **/
    function rewardCaller(address proposedFeeReceiver, uint256 reward) internal {
        if (address(treasury) == proposedFeeReceiver) return;
        if (either(address(treasury) == address(0), reward == 0)) return;
        address finalFeeReceiver = (proposedFeeReceiver == address(0)) ? msg.sender : proposedFeeReceiver;
        try treasury.pullFunds(finalFeeReceiver, treasury.systemCoin(), reward) {}
        catch(bytes memory revertReason) {
            emit FailRewardCaller(revertReason, finalFeeReceiver, reward);
        }
    }
}

abstract contract OracleLike {
    function getResultWithValidity() virtual external view returns (uint256, bool);
}
abstract contract OracleRelayerLike {
    function redemptionPrice() virtual external returns (uint256);
    function modifyParameters(bytes32,uint256) virtual external;
}
abstract contract PIDCalculator {
    function computeRate(uint256, uint256, uint256) virtual external returns (uint256);
    function rt(uint256, uint256, uint256) virtual external view returns (uint256);
    function pscl() virtual external view returns (uint256);
    function tlv() virtual external view returns (uint256);
}

contract RateSetter is IncreasingTreasuryReimbursement {
    // --- Variables ---
    // Settlement flag
    uint256 public contractEnabled;                 // [0 or 1]
    // Last recorded system coin market price
    uint256 public latestMarketPrice;               // [ray]
    // When the price feed was last updated
    uint256 public lastUpdateTime;                  // [timestamp]
    // Enforced gap between calls
    uint256 public updateRateDelay;                 // [seconds]

    // --- System Dependencies ---
    // OSM or medianizer for the system coin
    OracleLike                public orcl;
    // OracleRelayer where the redemption price is stored
    OracleRelayerLike         public oracleRelayer;
    // Calculator for the redemption rate
    PIDCalculator             public pidCalculator;

    // --- Events ---
    event UpdateRedemptionRate(
        uint marketPrice,
        uint redemptionPrice,
        uint redemptionRate
    );
    event FailUpdateRedemptionRate(
        bytes reason
    );
    event FailUpdateOracle(bytes revertReason, address orcl);

    constructor(
      address oracleRelayer_,
      address orcl_,
      address treasury_,
      address pidCalculator_,
      uint256 baseUpdateCallerReward_,
      uint256 maxUpdateCallerReward_,
      uint256 perSecondCallerRewardIncrease_,
      uint256 updateRateDelay_
    ) public IncreasingTreasuryReimbursement(treasury_, baseUpdateCallerReward_, maxUpdateCallerReward_, perSecondCallerRewardIncrease_) {
        oracleRelayer    = OracleRelayerLike(oracleRelayer_);
        orcl             = OracleLike(orcl_);
        pidCalculator    = PIDCalculator(pidCalculator_);

        updateRateDelay  = updateRateDelay_;
        contractEnabled  = 1;

        emit ModifyParameters("orcl", orcl_);
        emit ModifyParameters("oracleRelayer", oracleRelayer_);
        emit ModifyParameters("pidCalculator", pidCalculator_);
        emit ModifyParameters("updateRateDelay", updateRateDelay_);
    }

    // --- Management ---
    function modifyParameters(bytes32 parameter, address addr) external isAuthorized {
        require(contractEnabled == 1, "RateSetter/contract-not-enabled");
        if (parameter == "orcl") orcl = OracleLike(addr);
        else if (parameter == "oracleRelayer") oracleRelayer = OracleRelayerLike(addr);
        else if (parameter == "treasury") {
          require(StabilityFeeTreasuryLike(addr).systemCoin() != address(0), "RateSetter/treasury-coin-not-set");
          treasury = StabilityFeeTreasuryLike(addr);
        }
        else if (parameter == "pidCalculator") {
          pidCalculator = PIDCalculator(addr);
        }
        else revert("RateSetter/modify-unrecognized-param");
        emit ModifyParameters(
          parameter,
          addr
        );
    }
    function modifyParameters(bytes32 parameter, uint256 val) external isAuthorized {
        require(contractEnabled == 1, "RateSetter/contract-not-enabled");
        if (parameter == "baseUpdateCallerReward") {
          require(val <= maxUpdateCallerReward, "RateSetter/invalid-base-caller-reward");
          baseUpdateCallerReward = val;
        }
        else if (parameter == "maxUpdateCallerReward") {
          require(val >= baseUpdateCallerReward, "RateSetter/invalid-max-caller-reward");
          maxUpdateCallerReward = val;
        }
        else if (parameter == "perSecondCallerRewardIncrease") {
          require(val >= RAY, "RateSetter/invalid-caller-reward-increase");
          perSecondCallerRewardIncrease = val;
        }
        else if (parameter == "maxRewardIncreaseDelay") {
          require(val > 0, "RateSetter/invalid-max-increase-delay");
          maxRewardIncreaseDelay = val;
        }
        else if (parameter == "updateRateDelay") {
          require(val >= 0, "RateSetter/invalid-call-gap-length");
          updateRateDelay = val;
        }
        else revert("RateSetter/modify-unrecognized-param");
        emit ModifyParameters(
          parameter,
          val
        );
    }
    function disableContract() external isAuthorized {
        contractEnabled = 0;
    }

    // --- Feedback Mechanism ---
    /**
    * @notice Compute and set a new redemption rate
    * @param feeReceiver The proposed address that should receive the reward for calling this function
    *        (unless it's address(0) in which case msg.sender will get it)
    **/
    function updateRate(address feeReceiver) external {
        require(contractEnabled == 1, "RateSetter/contract-not-enabled");
        // Check delay between calls
        require(either(subtract(now, lastUpdateTime) >= updateRateDelay, lastUpdateTime == 0), "RateSetter/wait-more");
        // Get price feed updates
        (uint256 marketPrice, bool hasValidValue) = orcl.getResultWithValidity();
        // If the oracle has a value
        require(hasValidValue, "RateSetter/invalid-oracle-value");
        // If the price is non-zero
        require(marketPrice > 0, "RateSetter/null-price");
        // Get the latest redemption price
        uint redemptionPrice = oracleRelayer.redemptionPrice();
        // Get the caller's reward
        uint256 callerReward = getCallerReward(lastUpdateTime, updateRateDelay);
        // Store the latest market price
        latestMarketPrice = ray(marketPrice);
        // Calculate the rate
        uint256 tlv       = pidCalculator.tlv();
        uint256 iapcr     = rpower(pidCalculator.pscl(), tlv, RAY);
        uint256 validated = pidCalculator.computeRate(
            marketPrice,
            redemptionPrice,
            iapcr
        );
        // Store the timestamp of the update
        lastUpdateTime = now;
        // Update the rate inside the system (if it doesn't throw)
        try oracleRelayer.modifyParameters("redemptionRate", validated) {
          // Emit success event
          emit UpdateRedemptionRate(
            ray(marketPrice),
            redemptionPrice,
            validated
          );
        }
        catch(bytes memory revertReason) {
          emit FailUpdateRedemptionRate(
            revertReason
          );
        }
        // Pay the caller for updating the rate
        rewardCaller(feeReceiver, callerReward);
    }

    // --- Getters ---
    /**
    * @notice Get the market price from the system coin oracle
    **/
    function getMarketPrice() external view returns (uint256) {
        (uint256 marketPrice, ) = orcl.getResultWithValidity();
        return marketPrice;
    }
    /**
    * @notice Get the redemption and the market prices for the system coin
    **/
    function getRedemptionAndMarketPrices() external returns (uint256 marketPrice, uint256 redemptionPrice) {
        (marketPrice, ) = orcl.getResultWithValidity();
        redemptionPrice = oracleRelayer.redemptionPrice();
    }
}

• No Contract Security Audit Submitted- Submit Audit Here

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PIDCalculator","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"x","type":"uint256"}],"name":"rad","outputs":[{"internalType":"uint256","name":"z","type":"uint256"}],"stateMutability":"pure","type":"function"},{"inputs":[{"internalType":"uint256","name":"x","type":"uint256"}],"name":"ray","outputs":[{"internalType":"uint256","name":"z","type":"uint256"}],"stateMutability":"pure","type":"function"},{"inputs":[{"internalType":"uint256","name":"x","type":"uint256"},{"internalType":"uint256","name":"y","type":"uint256"}],"name":"rdivide","outputs":[{"internalType":"uint256","name":"z","type":"uint256"}],"stateMutability":"pure","type":"function"},{"inputs":[{"internalType":"address","name":"account","type":"address"}],"name":"removeAuthorization","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"uint256","name":"x","type":"uint256"},{"internalType":"uint256","name":"y","type":"uint256"}],"name":"rmultiply","outputs":[{"internalType":"uint256","name":"z","type":"uint256"}],"stateMutability":"pure","type":"function"},{"inputs":[{"internalType":"uint256","name":"x","type":"uint256"},{"internalType":"uint256","name":"n","type":"uint256"},{"internalType":"uint256","name":"base","type":"uint256"}],"name":"rpower","outputs":[{"internalType":"uint256","name":"z","type":"uint256"}],"stateMutability":"pure","type":"function"},{"inputs":[{"internalType":"uint256","name":"x","type":"uint256"},{"internalType":"uint256","name":"y","type":"uint256"}],"name":"subtract","outputs":[{"internalType":"uint256","name":"z","type":"uint256"}],"stateMutability":"pure","type":"function"},{"inputs":[],"name":"treasury","outputs":[{"internalType":"contract StabilityFeeTreasuryLike","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"treasuryAllowance","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"feeReceiver","type":"address"}],"name":"updateRate","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"updateRateDelay","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"x","type":"uint256"},{"internalType":"uint256","name":"y","type":"uint256"}],"name":"wdivide","outputs":[{"internalType":"uint256","name":"z","type":"uint256"}],"stateMutability":"pure","type":"function"},{"inputs":[{"internalType":"uint256","name":"x","type":"uint256"},{"internalType":"uint256","name":"y","type":"uint256"}],"name":"wmultiply","outputs":[{"internalType":"uint256","name":"z","type":"uint256"}],"stateMutability":"pure","type":"function"}]

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

-----Decoded View---------------
Arg [0] : oracleRelayer_ (address): 0x4ed9C0dCa0479bC64d8f4EB3007126D5791f7851
Arg [1] : orcl_ (address): 0x12A5E1c81B10B264A575930aEae80681DDF595fe
Arg [2] : treasury_ (address): 0x83533fdd3285f48204215E9CF38C785371258E76
Arg [3] : pidCalculator_ (address): 0xcFa37DcE6DFE80857c3B8DbA100b592775aE2688
Arg [4] : baseUpdateCallerReward_ (uint256): 0
Arg [5] : maxUpdateCallerReward_ (uint256): 10000000000000000000
Arg [6] : perSecondCallerRewardIncrease_ (uint256): 1000192559420674483977255848
Arg [7] : updateRateDelay_ (uint256): 14400

-----Encoded View---------------
8 Constructor Arguments found :
Arg [0] : 0000000000000000000000004ed9c0dca0479bc64d8f4eb3007126d5791f7851
Arg [1] : 00000000000000000000000012a5e1c81b10b264a575930aeae80681ddf595fe
Arg [2] : 00000000000000000000000083533fdd3285f48204215e9cf38c785371258e76
Arg [3] : 000000000000000000000000cfa37dce6dfe80857c3b8dba100b592775ae2688
Arg [4] : 0000000000000000000000000000000000000000000000000000000000000000
Arg [5] : 0000000000000000000000000000000000000000000000008ac7230489e80000
Arg [6] : 0000000000000000000000000000000000000000033b57034a98502542e4fba8
Arg [7] : 0000000000000000000000000000000000000000000000000000000000003840

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