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// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

import "../../../interfaces/IInterestRateModel.sol";

contract TripleSlopeRateModel is IInterestRateModel {
    uint256 public immutable baseBorrowPerSecond;
    uint256 public immutable borrowPerSecond1;
    uint256 public immutable kink1;
    uint256 public immutable borrowPerSecond2;
    uint256 public immutable kink2;
    uint256 public immutable borrowPerSecond3;

    constructor(
        uint256 baseRatePerSecond_,
        uint256 borrowPerSecond1_,
        uint256 kink1_,
        uint256 borrowPerSecond2_,
        uint256 kink2_,
        uint256 borrowPerSecond3_
    ) {
        baseBorrowPerSecond = baseRatePerSecond_;
        borrowPerSecond1 = borrowPerSecond1_;
        kink1 = kink1_;
        borrowPerSecond2 = borrowPerSecond2_;
        kink2 = kink2_;
        borrowPerSecond3 = borrowPerSecond3_;
    }

    /**
     * @notice Calculate the utilization rate.
     * @param cash The cash in the market
     * @param borrow The borrow in the market
     * @return The utilization rate
     */
    function getUtilization(uint256 cash, uint256 borrow) public pure returns (uint256) {
        if (borrow == 0) {
            return 0;
        }
        return (borrow * 1e18) / (cash + borrow);
    }

    /**
     * @notice Get the borrow rate per second.
     * @param cash The cash in the market
     * @param borrow The borrow in the market
     * @return The borrow rate per second
     */
    function getBorrowRate(uint256 cash, uint256 borrow) public view returns (uint256) {
        uint256 utilization = getUtilization(cash, borrow);
        if (utilization <= kink1) {
            // base + utilization * slope1
            return baseBorrowPerSecond + (utilization * borrowPerSecond1) / 1e18;
        } else if (utilization <= kink2) {
            // base + kink1 * slope1 + (utilization - kink1) * slope2
            return baseBorrowPerSecond + (kink1 * borrowPerSecond1) / 1e18
                + ((utilization - kink1) * borrowPerSecond2) / 1e18;
        } else {
            // base + kink1 * slope1 + (kink2 - kink1) * slope2 + (utilization - kink2) * slope3
            return baseBorrowPerSecond + (kink1 * borrowPerSecond1) / 1e18 + ((kink2 - kink1) * borrowPerSecond2) / 1e18
                + (utilization - kink2) * borrowPerSecond3 / 1e18;
        }
    }

    /**
     * @notice Get the supply rate per second.
     * @param cash The cash in the market
     * @param borrow The borrow in the market
     * @return The supply rate per second
     */
    function getSupplyRate(uint256 cash, uint256 borrow) public view returns (uint256) {
        uint256 borrowRate = getBorrowRate(cash, borrow);
        uint256 utilization = getUtilization(cash, borrow);
        return (utilization * borrowRate) / 1e18;
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

interface IInterestRateModel {
    function getUtilization(uint256 cash, uint256 borrow) external pure returns (uint256);

    function getBorrowRate(uint256 cash, uint256 borrow) external view returns (uint256);

    function getSupplyRate(uint256 cash, uint256 borrow) external view returns (uint256);
}

{
  "remappings": [
    "ds-test/=lib/forge-std/lib/ds-test/src/",
    "forge-std/=lib/forge-std/src/",
    "openzeppelin-contracts-upgradeable/=lib/openzeppelin-contracts-upgradeable/",
    "openzeppelin-contracts/=lib/openzeppelin-contracts/"
  ],
  "optimizer": {
    "enabled": true,
    "runs": 200
  },
  "metadata": {
    "useLiteralContent": false,
    "bytecodeHash": "ipfs"
  },
  "outputSelection": {
    "*": {
      "*": [
        "evm.bytecode",
        "evm.deployedBytecode",
        "devdoc",
        "userdoc",
        "metadata",
        "abi"
      ]
    }
  },
  "evmVersion": "london",
  "viaIR": false,
  "libraries": {}
}

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[{"inputs":[{"internalType":"uint256","name":"baseRatePerSecond_","type":"uint256"},{"internalType":"uint256","name":"borrowPerSecond1_","type":"uint256"},{"internalType":"uint256","name":"kink1_","type":"uint256"},{"internalType":"uint256","name":"borrowPerSecond2_","type":"uint256"},{"internalType":"uint256","name":"kink2_","type":"uint256"},{"internalType":"uint256","name":"borrowPerSecond3_","type":"uint256"}],"stateMutability":"nonpayable","type":"constructor"},{"inputs":[],"name":"baseBorrowPerSecond","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"borrowPerSecond1","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"borrowPerSecond2","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"borrowPerSecond3","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"cash","type":"uint256"},{"internalType":"uint256","name":"borrow","type":"uint256"}],"name":"getBorrowRate","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"cash","type":"uint256"},{"internalType":"uint256","name":"borrow","type":"uint256"}],"name":"getSupplyRate","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"cash","type":"uint256"},{"internalType":"uint256","name":"borrow","type":"uint256"}],"name":"getUtilization","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"pure","type":"function"},{"inputs":[],"name":"kink1","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"kink2","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"}]

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