// returns the amount out corresponding to the amount in for a given token using the moving average over the time
function current(address tokenIn, uint amountIn, address tokenOut) external view returns (uint amountOut)

interface IUniswapV2Oracle {
  function current(address tokenIn, uint amountIn, address tokenOut) external view returns (uint amountOut);
}

// returns the amount out corresponding to the amount in for a given token using the moving average over the time taking granularity samples
function quote(address tokenIn, uint amountIn, address tokenOut, uint granularity) external view returns (uint amountOut)

// returns an amount of price points equal to periodSize * points
prices(address tokenIn, uint amountIn, address tokenOut, uint points) external view returns (uint[] memory)

// returns an amount of price points equal to hour * points
function hourly(address tokenIn, uint amountIn, address tokenOut, uint points) external view returns (uint[] memory)

// returns an amount of price points equal to days * points
function daily(address tokenIn, uint amountIn, address tokenOut, uint points) external view returns (uint[] memory)

// returns an amount of price points equal to days * points
function weekly(address tokenIn, uint amountIn, address tokenOut, uint points) external view returns (uint[] memory)

// returns realized volatility over points * window
function rVol(address tokenIn, address tokenOut, uint points, uint window) external view returns (uint)

// returns realized volatility over points * window
function rVolHourly(address tokenIn, address tokenOut, uint points) external view returns (uint);

// returns realized volatility over points * window
function rVolDaily(address tokenIn, address tokenOut, uint points) external view returns (uint);

// returns realized volatility over points * window
function rVolWeekly(address tokenIn, address tokenOut, uint points) external view returns (uint);

/**
 * @dev blackScholesEstimate calculates a rough price estimate for an ATM option
 * @dev input parameters should be transformed prior to being passed to the function
 * @dev so as to remove decimal places otherwise results will be far less accurate
 * @param _vol uint256 volatility of the underlying converted to remove decimals
 * @param _underlying uint256 price of the underlying asset
 * @param _time uint256 days to expiration in years multiplied to remove decimals
 */
function blackScholesEstimate(
    uint256 _vol,
    uint256 _underlying,
    uint256 _time
) external pure returns (uint256 estimate);

function C(uint t, uint v, uint sp, uint st) external pure returns (uint);
function quoteAll(uint t, uint v, uint sp, uint st) external pure returns (uint call, uint put);
function quotePrice(address tokenIn, address tokenOut, uint t, uint sp, uint st) external view returns (uint call, uint put);
function price(address tokenIn, address tokenOut) external view returns (uint);
function quote(address tokenIn, address tokenOut, uint t) external view returns (uint call, uint put);

function optimalExp(uint256 x) external pure returns (uint256);
function ln(uint256 x) external pure returns (uint);
function ncdf(uint x) external pure returns (uint);
function cdf(int x) external pure returns (uint);
function generalLog(uint256 x) external pure returns (uint);