//SPDX-License-Identifier: MIT
pragma solidity ^0.8.2;

import {SafeMath} from "@openzeppelin/contracts/utils/math/SafeMath.sol";

contract DSMath {
    uint constant WAD = 10 ** 18;
    uint constant RAY = 10 ** 27;

    function add(uint x, uint y) internal pure returns (uint z) {
        z = SafeMath.add(x, y);
    }

    function sub(uint x, uint y) internal pure virtual returns (uint z) {
        z = SafeMath.sub(x, y);
    }

    function mul(uint x, uint y) internal pure returns (uint z) {
        z = SafeMath.mul(x, y);
    }

    function div(uint x, uint y) internal pure returns (uint z) {
        z = SafeMath.div(x, y);
    }

    function wmul(uint x, uint y) internal pure returns (uint z) {
        z = SafeMath.add(SafeMath.mul(x, y), WAD / 2) / WAD;
    }

    function wdiv(uint x, uint y) internal pure returns (uint z) {
        z = SafeMath.add(SafeMath.mul(x, WAD), y / 2) / y;
    }

    function rdiv(uint x, uint y) internal pure returns (uint z) {
        z = SafeMath.add(SafeMath.mul(x, RAY), y / 2) / y;
    }

    function rmul(uint x, uint y) internal pure returns (uint z) {
        z = SafeMath.add(SafeMath.mul(x, y), RAY / 2) / RAY;
    }

    function toInt(uint x) internal pure returns (int y) {
        y = int(x);
        require(y >= 0, "int-overflow");
    }

    function toUint(int256 x) internal pure returns (uint256) {
        require(x >= 0, "int-overflow");
        return uint256(x);
    }

    function toRad(uint wad) internal pure returns (uint rad) {
        rad = mul(wad, 10 ** 27);
    }
}