TickMath
Computes sqrt price for ticks of size 1.0001, i.e. sqrt(1.0001^tick) as fixed point Q64.96 numbers. Supports prices between 2-128 and 2128
Functions
getSqrtRatioAtTick
function getSqrtRatioAtTick(
int24 tick
) internal pure returns (uint160 sqrtPriceX96)
Calculates sqrt(1.0001^tick) * 2^96
Throws if |tick| > max tick
Parameters:
| Name | Type | Description |
|---|---|---|
tick | int24 | The input tick for the above formula |
Return Values:
| Name | Type | Description |
|---|---|---|
sqrtPriceX96 | uint160 | A Fixed point Q64.96 number representing the sqrt of the ratio of the two assets (token1/token0) |
at the given tick
getTickAtSqrtRatio
function getTickAtSqrtRatio(
uint160 sqrtPriceX96
) internal pure returns (int24 tick)
Calculates the greatest tick value such that getRatioAtTick(tick) <= ratio
Throws in case sqrtPriceX96 < MIN_SQRT_RATIO, as MIN_SQRT_RATIO is the lowest value getRatioAtTick may ever return.
Parameters:
| Name | Type | Description |
|---|---|---|
sqrtPriceX96 | uint160 | The sqrt ratio for which to compute the tick as a Q64.96 |
Return Values:
| Name | Type | Description |
|---|---|---|
tick | int24 | The greatest tick for which the ratio is less than or equal to the input ratio |