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TickMath

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Computes sqrt price for ticks of size B=(1-2^-9)^-1 as fixed point Q128 numbers. Supports prices between 2**-112 and 2**112-1

State Variables​

B_IN_Q128​

uint256 internal constant B_IN_Q128 = 0x100804020100804020100804020100805;

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_SQRT_PRICE_IN_Q128​

uint256 constant MIN_SQRT_PRICE_IN_Q128 = 0xffc029ab6df090b37e;

MAX_SQRT_PRICE_IN_Q128​

uint256 constant MAX_SQRT_PRICE_IN_Q128 = 0xffbfc6509a7540f2db82e1f475e2c218a22bd92d7c18c3;

MIN_TICK​

int16 internal constant MIN_TICK = -0x4d8f;

MAX_TICK​

int16 internal constant MAX_TICK = -MIN_TICK - 1;

Functions​

getSqrtPriceAtTick​

function getSqrtPriceAtTick(
    int16 tick
) internal pure returns (uint256 sqrtPriceInQ128);

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);

Errors​

PriceOutOfBounds​

error PriceOutOfBounds();

TickOutOfBounds​

error TickOutOfBounds();