TickMath

Git Source

from: https://github.com/Uniswap/v3-core/blob/0.8/contracts/libraries/TickMath.sol

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 = -887272;

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 internal constant MIN_SQRT_RATIO = 4295128739;

MAX_SQRT_RATIO

The maximum value that can be returned from #getSqrtRatioAtTick. Equivalent to getSqrtRatioAtTick(MAX_TICK)

uint160 internal constant MAX_SQRT_RATIO = 1461446703485210103287273052203988822378723970342;

Functions

getSqrtRatioAtTick

Calculates sqrt(1.0001^tick) * 2^96

Throws if |tick| > max tick

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

Parameters

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 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

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 ratio is less than or equal to the input ratio

Errors

T

error T();

R

error R();