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
Functions
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
Parameters:
a
uint256
The multiplicand
b
uint256
The multiplier
denominator
uint256
The divisor
Return Values:
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
Parameters:
a
uint256
The multiplicand
b
uint256
The multiplier
denominator
uint256
The divisor
Return Values:
result
uint256
The 256-bit result
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