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
State Variables
MIN_TICK
The minimum tick that may be passed to #getSqrtRatioAtTick computed from log base 1.0001 of 2*-128*
int24 internal constant MIN_TICK = -887_272;MAX_TICK
The maximum tick that may be passed to #getSqrtRatioAtTick computed from log base 1.0001 of 2**128
int24 internal constant MAX_TICK = -MIN_TICK;MIN_SQRT_RATIO
The minimum value that can be returned from #getSqrtRatioAtTick. Equivalent to getSqrtRatioAtTick(MIN_TICK)
uint160 public constant MIN_SQRT_RATIO = 4_295_128_739;MAX_SQRT_RATIO
The maximum value that can be returned from #getSqrtRatioAtTick. Equivalent to getSqrtRatioAtTick(MAX_TICK)
uint160 internal constant MAX_SQRT_RATIO = 1_461_446_703_485_210_103_287_273_052_203_988_822_378_723_970_342;Functions
getSqrtRatioAtTick
Calculates sqrt(1.0001^tick) * 2^96
Throws if |tick| > max tick
function getSqrtRatioAtTick(int24 tick) internal pure returns (uint160 sqrtPriceX96);Parameters
tick
int24
The input tick for the above formula
Returns
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
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.
function getTickAtSqrtRatio(uint160 sqrtPriceX96) internal pure returns (int24 tick);Parameters
sqrtPriceX96
uint160
The sqrt ratio for which to compute the tick as a Q64.96
Returns
tick
int24
The greatest tick for which the ratio is less than or equal to the input ratio