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FullMath
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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
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
function mulDiv(uint256 a, uint256 b, uint256 denominator) internal pure returns (uint256 result);
Parameters
| Name | Type | Description |
|---|---|---|
a | uint256 | The multiplicand |
b | uint256 | The multiplier |
denominator | uint256 | The divisor |
Returns
| Name | Type | Description |
|---|---|---|
result | uint256 | The 256-bit result |
mulDivRoundingUp
Calculates ceil(a×b÷denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
function mulDivRoundingUp(uint256 a, uint256 b, uint256 denominator) internal pure returns (uint256 result);
Parameters
| Name | Type | Description |
|---|---|---|
a | uint256 | The multiplicand |
b | uint256 | The multiplier |
denominator | uint256 | The divisor |
Returns
| Name | Type | Description |
|---|---|---|
result | uint256 | The 256-bit result |