TickMath

Git Source

Computes sqrt price for ticks of size $B=(1-2^{-9})^{-1}$ as fixed point Q72 numbers. Supports prices between $2^{-112}$ and $2^{112}-1$.

State Variables

BASE_CHANGE_CONSTANT_IN_Q128

int256 private constant BASE_CHANGE_CONSTANT_IN_Q128 = 0xb145b7be86780ae93f;

TICK_LOW_ERROR_CORRECTION_IN_Q128

int256 private constant TICK_LOW_ERROR_CORRECTION_IN_Q128 = 0x1f6d22eefc342687357a94df44b0dbf;

TICK_HI_ERROR_CORRECTION_IN_Q128

int256 private constant TICK_HI_ERROR_CORRECTION_IN_Q128 = 0xb33c8bdbc23c5eaf1cd8140681512562;

MIN_PRICE_IN_Q128

uint256 internal constant MIN_PRICE_IN_Q128 = 0x10000;

MAX_PRICE_IN_Q128

uint256 internal constant MAX_PRICE_IN_Q128 = 0xffffffffffffffffffffffffffff00000000000000000000000000000000;

MIN_TICK

int16 internal constant MIN_TICK = -0x4d8f;

MAX_TICK

int16 internal constant MAX_TICK = 0x4d8e;

MIN_SQRT_PRICE_IN_Q72

uint256 internal constant MIN_SQRT_PRICE_IN_Q72 = 0xffc0;

MAX_SQRT_PRICE_IN_Q72

uint256 internal constant MAX_SQRT_PRICE_IN_Q72 = 0xffc00ffc00ffc00ffc00ffc00ffc00ff;

Functions

getSqrtPriceAtTick

function getSqrtPriceAtTick(
    int16 tick
) internal pure returns (uint256 sqrtPriceInQ72);

getTickAtPrice

function getTickAtPrice(
    uint256 priceInQ128
) internal pure returns (int16);

getPriceAtTick

function getPriceAtTick(
    int16 tick
) internal pure returns (uint256 priceInQ128);

applyMultiplications

function applyMultiplications(
    uint256 absTick
) private pure returns (uint256 valueInQ128);

getTickFromReserves

Get the new tick based on the current reserves.

function getTickFromReserves(uint256 reserveXAssets, uint256 reserveYAssets) internal pure returns (int16);

Parameters

Name	Type	Description
reserveXAssets	uint256	The current reserve X assets.
reserveYAssets	uint256	The current reserve Y assets.

Returns

Name	Type	Description
<none>	int16	newTick The current tick.

Errors

PriceOutOfBounds

error PriceOutOfBounds();

TickOutOfBounds

error TickOutOfBounds();