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

mulDiv

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

Calculates floor(a×b÷denominator) 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

Name Type Description
a uint256 The multiplicand
b uint256 The multiplier
denominator uint256 The divisor
Name Type Description
result uint256 The 256-bit result

mulDivRoundingUp

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

Calculates ceil(a×b÷denominator) with full precision. Throws if result overflows a uint256 or denominator == 0

Name Type Description
a uint256 The multiplicand
b uint256 The multiplier
denominator uint256 The divisor
Name Type Description
result uint256 The 256-bit result