library Utils {

    uint256 constant internal PRECISION = (10**18);
    uint256 constant internal MAX_QTY   = (10**28); // 10B tokens
    uint256 constant internal MAX_RATE  = (PRECISION * 10**6); // up to 1M tokens per ETH
    uint256 constant internal MAX_DECIMALS = 18;
    uint256 constant internal ETH_DECIMALS = 18;
    uint256 constant internal MAX_UINT = 2**256-1;

    // Currently constants can't be accessed from other contracts, so providing functions to do that here
    function precision() internal pure returns (uint256) { return PRECISION; }
    function max_qty() internal pure returns (uint256) { return MAX_QTY; }
    function max_rate() internal pure returns (uint256) { return MAX_RATE; }
    function max_decimals() internal pure returns (uint256) { return MAX_DECIMALS; }
    function eth_decimals() internal pure returns (uint256) { return ETH_DECIMALS; }
    function max_uint() internal pure returns (uint256) { return MAX_UINT; }

    /// @notice Retrieve the number of decimals used for a given ERC20 token
    /// @dev As decimals are an optional feature in ERC20, this contract uses `call` to
    /// ensure that an exception doesn't cause transaction failure
    /// @param token the token for which we should retrieve the decimals
    /// @return decimals the number of decimals in the given token
    function getDecimals(address token)
        internal
        view
        returns (uint256 decimals)
    {
        bytes4 functionSig = bytes4(keccak256("decimals()"));

        /// @dev Using assembly due to issues with current solidity `address.call()`
        /// implementation: https://github.com/ethereum/solidity/issues/2884
        assembly {
            // Pointer to next free memory slot
            let ptr := mload(0x40)
            // Store functionSig variable at ptr
            mstore(ptr,functionSig)
            let functionSigLength := 0x04
            let wordLength := 0x20

            let success := call(
                                5000, // Amount of gas
                                token, // Address to call
                                0, // ether to send
                                ptr, // ptr to input data
                                functionSigLength, // size of data
                                ptr, // where to store output data (overwrite input)
                                wordLength // size of output data (32 bytes)
                               )

            switch success
            case 0 {
                decimals := 0 // If the token doesn't implement `decimals()`, return 0 as default
            }
            case 1 {
                decimals := mload(ptr) // Set decimals to return data from call
            }
            mstore(0x40,add(ptr,0x04)) // Reset the free memory pointer to the next known free location
        }
    }

    /// @dev Checks that a given address has its token allowance and balance set above the given amount
    /// @param tokenOwner the address which should have custody of the token
    /// @param tokenAddress the address of the token to check
    /// @param tokenAmount the amount of the token which should be set
    /// @param addressToAllow the address which should be allowed to transfer the token
    /// @return bool true if the allowance and balance is set, false if not
    function tokenAllowanceAndBalanceSet(
        address tokenOwner,
        address tokenAddress,
        uint256 tokenAmount,
        address addressToAllow
    )
        internal
        view
        returns (bool)
    {
        return (
            ERC20(tokenAddress).allowance(tokenOwner, addressToAllow) >= tokenAmount &&
            ERC20(tokenAddress).balanceOf(tokenOwner) >= tokenAmount
        );
    }

    function calcDstQty(uint srcQty, uint srcDecimals, uint dstDecimals, uint rate) internal pure returns (uint) {
        if (dstDecimals >= srcDecimals) {
            require((dstDecimals - srcDecimals) <= MAX_DECIMALS);
            return (srcQty * rate * (10**(dstDecimals - srcDecimals))) / PRECISION;
        } else {
            require((srcDecimals - dstDecimals) <= MAX_DECIMALS);
            return (srcQty * rate) / (PRECISION * (10**(srcDecimals - dstDecimals)));
        }
    }

    function calcSrcQty(uint dstQty, uint srcDecimals, uint dstDecimals, uint rate) internal pure returns (uint) {

        //source quantity is rounded up. to avoid dest quantity being too low.
        uint numerator;
        uint denominator;
        if (srcDecimals >= dstDecimals) {
            require((srcDecimals - dstDecimals) <= MAX_DECIMALS);
            numerator = (PRECISION * dstQty * (10**(srcDecimals - dstDecimals)));
            denominator = rate;
        } else {
            require((dstDecimals - srcDecimals) <= MAX_DECIMALS);
            numerator = (PRECISION * dstQty);
            denominator = (rate * (10**(dstDecimals - srcDecimals)));
        }
        return (numerator + denominator - 1) / denominator; //avoid rounding down errors
    }

    function calcDestAmount(ERC20 src, ERC20 dest, uint srcAmount, uint rate) internal view returns (uint) {
        return calcDstQty(srcAmount, getDecimals(src), getDecimals(dest), rate);
    }

    function calcSrcAmount(ERC20 src, ERC20 dest, uint destAmount, uint rate) internal view returns (uint) {
        return calcSrcQty(destAmount, getDecimals(src), getDecimals(dest), rate);
    }

    function calcRateFromQty(uint srcAmount, uint destAmount, uint srcDecimals, uint dstDecimals)
        internal pure returns (uint)
    {
        require(srcAmount <= MAX_QTY);
        require(destAmount <= MAX_QTY);

        if (dstDecimals >= srcDecimals) {
            require((dstDecimals - srcDecimals) <= MAX_DECIMALS);
            return (destAmount * PRECISION / ((10 ** (dstDecimals - srcDecimals)) * srcAmount));
        } else {
            require((srcDecimals - dstDecimals) <= MAX_DECIMALS);
            return (destAmount * PRECISION * (10 ** (srcDecimals - dstDecimals)) / srcAmount);
        }
    }

    /// @notice Bringing this in from the Math library as we've run out of space in TotlePrimary (see EIP-170)
    function min(uint256 a, uint256 b) internal pure returns (uint256) {
        return a < b ? a : b;
    }
}
/*
 Modified Util contract as used by Kyber Network
 */
function min(uint256 a, uint256 b) internal pure returns (uint256) {
        return a < b ? a : b;
    }
/// @notice Bringing this in from the Math library as we've run out of space in TotlePrimary (see EIP-170)