FullMath

Facilitates multiplication and division that can have overflow of an intermediate value without any loss of precision

Handles "phantom overflow" i.e., allows multiplication and division where an intermediate value overflows 256 bits

Functionsโ€‹

mulDivโ€‹

  function mulDiv(
    uint256 a,
    uint256 b,
    uint256 denominator
  ) internal pure returns (uint256 result)

Calculates floor(aร—bรทdenominator) with full precision. Throws if result overflows a uint256 or denominator == 0

Credit to Remco Bloemen under MIT license https://xn--2-umb.com/21/muldiv

Parameters:โ€‹

Name
Type
Description

a

uint256

The multiplicand

b

uint256

The multiplier

denominator

uint256

The divisor

Return Values:โ€‹

Name
Type
Description

result

uint256

The 256-bit result

mulDivRoundingUpโ€‹

  function mulDivRoundingUp(
    uint256 a,
    uint256 b,
    uint256 denominator
  ) internal pure returns (uint256 result)

Calculates ceil(aร—bรทdenominator) with full precision. Throws if result overflows a uint256 or denominator == 0

Parameters:โ€‹

Name
Type
Description

a

uint256

The multiplicand

b

uint256

The multiplier

denominator

uint256

The divisor

Return Values:โ€‹

Name
Type
Description

result

uint256

The 256-bit result

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