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 2**128
MIN_TICK
int24 MIN_TICK
The minimum tick that may be passed to #getSqrtRatioAtTick computed from log base 1.0001 of 2**-128
MAX_TICK
int24 MAX_TICK
The maximum tick that may be passed to #getSqrtRatioAtTick computed from log base 1.0001 of 2**128
MIN_SQRT_RATIO
uint160 MIN_SQRT_RATIO
The minimum value that can be returned from #getSqrtRatioAtTick. Equivalent to getSqrtRatioAtTick(MIN_TICK)
MAX_SQRT_RATIO
uint160 MAX_SQRT_RATIO
The maximum value that can be returned from #getSqrtRatioAtTick. Equivalent to getSqrtRatioAtTick(MAX_TICK)
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 |