CarefulMath.sol

pragma solidity ^0.4.24;

import "./ErrorReporter.sol";

/**
  * @title Careful Math
  * @author Compound
  * @notice Derived from OpenZeppelin's SafeMath library
  *         https://github.com/OpenZeppelin/openzeppelin-solidity/blob/master/contracts/math/SafeMath.sol
  */
contract CarefulMath is ErrorReporter {

    /**
    * @dev Multiplies two numbers, returns an error on overflow.
    */
    function mul(uint a, uint b) internal pure returns (Error, uint) {
        if (a == 0) {
            return (Error.NO_ERROR, 0);
        }

        uint c = a * b;

        if (c / a != b) {
            return (Error.INTEGER_OVERFLOW, 0);
        } else {
            return (Error.NO_ERROR, c);
        }
    }

    /**
    * @dev Integer division of two numbers, truncating the quotient.
    */
    function div(uint a, uint b) internal pure returns (Error, uint) {
        if (b == 0) {
            return (Error.DIVISION_BY_ZERO, 0);
        }

        return (Error.NO_ERROR, a / b);
    }

    /**
    * @dev Subtracts two numbers, returns an error on overflow (i.e. if subtrahend is greater than minuend).
    */
    function sub(uint a, uint b) internal pure returns (Error, uint) {
        if (b <= a) {
            return (Error.NO_ERROR, a - b);
        } else {
            return (Error.INTEGER_UNDERFLOW, 0);
        }
    }

    /**
    * @dev Adds two numbers, returns an error on overflow.
    */
    function add(uint a, uint b) internal pure returns (Error, uint) {
        uint c = a + b;

        if (c >= a) {
            return (Error.NO_ERROR, c);
        } else {
            return (Error.INTEGER_OVERFLOW, 0);
        }
    }

    /**
    * @dev add a and b and then subtract c
    */
    function addThenSub(uint a, uint b, uint c) internal pure returns (Error, uint) {
        (Error err0, uint sum) = add(a, b);

        if (err0 != Error.NO_ERROR) {
            return (err0, 0);
        }

        return sub(sum, c);
    }
}