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Math Utilities

mostSignificantBit​

Returns the most significant bit of a positive integer, starting with first bit = 0

mostSignificantBit(
  x: BigInt! 
): UInt32!

encodeSqrtRatioX96​

Returns the sqrt ratio as a Q64.96 corresponding to a given ratio of amount1 and amount0

encodeSqrtRatioX96(
  amount1: BigInt! # The numerator amount i.e., the amount of token1
  amount0: BigInt! # The denominator amount i.e., the amount of token0
): BigInt!

mulDivRoundingUp​

Returns (a * b) / denominator

mulDivRoundingUp(
  a: BigInt! 
  b: BigInt! 
  denominator: BigInt! 
): BigInt!

addDelta​

Returns x + y

addDelta(
  x: BigInt! 
  y: BigInt! 
): BigInt!

getAmount0Delta​

Used to facilitate liquidity math using sqrtRatioX96 values

getAmount0Delta(
  sqrtRatioAX96: BigInt! 
  sqrtRatioBX96: BigInt! 
  liquidity: BigInt! 
  roundUp: Boolean! 
): BigInt!

getAmount1Delta​

Used to facilitate liquidity math using sqrtRatioX96 values

getAmount1Delta(
  sqrtRatioAX96: BigInt! 
  sqrtRatioBX96: BigInt! 
  liquidity: BigInt! 
  roundUp: Boolean! 
): BigInt!

getNextSqrtPriceFromInput​

Used to facilitate liquidity math using sqrtRatioX96 values

getNextSqrtPriceFromInput(
  sqrtPX96: BigInt! 
  liquidity: BigInt! 
  amountIn: BigInt! 
  zeroForOne: Boolean! 
): BigInt!

getNextSqrtPriceFromOutput​

Used to facilitate liquidity math using sqrtRatioX96 values

getNextSqrtPriceFromOutput(
  sqrtPX96: BigInt! 
  liquidity: BigInt! 
  amountOut: BigInt! 
  zeroForOne: Boolean! 
): BigInt!