ExtendedMath

This contract contains math related utilities that allows to compute fixed-point exponentiation or perform scaled arithmetic operations

Functions

powf

function powf(
    int128 _x,
    int128 _y
) internal returns (int128 _xExpy)

Computes x**y where both x and y are fixed-point numbers

Parameters

Name	Type	Description
_x	int128
_y	int128

mulPow

function mulPow(
    uint256 value,
    uint256 base,
    uint256 exponent,
    uint256 decimal
) internal returns (uint256)

Computes value * base ** exponent where all of the parameters are fixed point numbers scaled with decimal

Parameters

Name	Type	Description
value	uint256
base	uint256
exponent	uint256
decimal	uint256

scaledMul

function scaledMul(
    uint256 a,
    uint256 b,
    uint256 _decimals
) internal returns (uint256)

Multiplies a and b scaling the result down by _decimals scaledMul(a, b, 18) with an initial scale of 18 decimals for a and b would keep the result to 18 decimals The result of the computation is floored

Parameters

Name	Type	Description
a	uint256
b	uint256
_decimals	uint256

scaledMul

function scaledMul(
    uint256 a,
    uint256 b
) internal returns (uint256)

Parameters

Name	Type	Description
a	uint256
b	uint256

scaledDiv

function scaledDiv(
    uint256 a,
    uint256 b,
    uint256 _decimals
) internal returns (uint256)

Divides a and b scaling the result up by _decimals scaledDiv(a, b, 18) with an initial scale of 18 decimals for a and b would keep the result to 18 decimals The result of the computation is floored

Parameters

Name	Type	Description
a	uint256
b	uint256
_decimals	uint256

scaledDiv

function scaledDiv(
    uint256 a,
    uint256 b
) internal returns (uint256)

See scaledDiv(uint256 a, uint256 b, uint256 _decimals)

Parameters

Name	Type	Description
a	uint256
b	uint256

scaledPow

function scaledPow(
    uint256 base,
    uint256 exp,
    uint256 _decimals
) internal returns (uint256)

Computes a**b where a is a scaled fixed-point number and b is an integer This keeps a scale of _decimals for a The computation is performed in O(log n)

Parameters

Name	Type	Description
base	uint256
exp	uint256
_decimals	uint256

scaledPow

function scaledPow(
    uint256 base,
    uint256 exp
) internal returns (uint256)

See scaledPow(uint256 base, uint256 exp, uint256 _decimals)

Parameters

Name	Type	Description
base	uint256
exp	uint256