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