TickMath

Math library for computing sqrt prices from ticks and vice versa. Sets the minimum and maximum of ticks and sqrt prices.

As digital calls and puts are priced between [0.01, 0.99] per collateral, per put-call parity, the sqrtPrice is the sqrt ratio of shieldPrice/spearPrice is between [sqrt(1/99), sqrt(99)]. sqrtPrice is computed for ticks of size 1.0001, i.e. sqrt(1.0001^tick) as fixed point Q64.96 numbers.

getSqrtRatioAtTick

Calculates and returns the square root ratio at the given tick.

function getSqrtRatioAtTick(int24 tick) internal pure returns (uint160 sqrtPriceX96)

Params:

Name	Type	Description
tick	int24	The input tick for the above formula

Returns:

Name	Type	Description
sqrtPriceX96	uint160	A fixed point Q64.96 number representing the sqrt of the ratio of shieldPrice/spearPrice

getTickAtSqrtRatio

Calculates and returns the tick value at the given square root ratio.

function getTickAtSqrtRatio(uint160 sqrtPriceX96) internal pure returns (int24 tick)

Params:

Name	Type	Description
sqrtPriceX96	uint160	The sqrt ratio for which to compute the tick as a Q64.96

Returns:

Name	Type	Description
tick	int24	The greatest tick for which the price is less than or equal to the input ratio