ExponentialNoError

Exp is a struct which stores decimals with a fixed precision of 18 decimal places. Thus, if we wanted to store the 5.1, mantissa would store 5.1e18. That is:Exp({mantissa: 5100000000000000000}).

expScale

uint256 expScale

doubleScale

uint256 doubleScale

halfExpScale

uint256 halfExpScale

mantissaOne

uint256 mantissaOne

Exp

struct Exp {
  uint256 mantissa;
}

Double

struct Double {
  uint256 mantissa;
}

truncate

function truncate(struct ExponentialNoError.Exp exp) internal pure returns (uint256)

Truncates the given exp to a whole number value. For example, truncate(Exp{mantissa: 15 * expScale}) = 15

mul_ScalarTruncate

function mul_ScalarTruncate(struct ExponentialNoError.Exp a, uint256 scalar) internal pure returns (uint256)

Multiply an Exp by a scalar, then truncate to return an unsigned integer.

mul_ScalarTruncateAddUInt

function mul_ScalarTruncateAddUInt(struct ExponentialNoError.Exp a, uint256 scalar, uint256 addend) internal pure returns (uint256)

Multiply an Exp by a scalar, truncate, then add an to an unsigned integer, returning an unsigned integer.

lessThanExp

function lessThanExp(struct ExponentialNoError.Exp left, struct ExponentialNoError.Exp right) internal pure returns (bool)

Checks if first Exp is less than second Exp.

lessThanOrEqualExp

function lessThanOrEqualExp(struct ExponentialNoError.Exp left, struct ExponentialNoError.Exp right) internal pure returns (bool)

Checks if left Exp <= right Exp.

greaterThanExp

function greaterThanExp(struct ExponentialNoError.Exp left, struct ExponentialNoError.Exp right) internal pure returns (bool)

Checks if left Exp > right Exp.

isZeroExp

function isZeroExp(struct ExponentialNoError.Exp value) internal pure returns (bool)

returns true if Exp is exactly zero

safe224

function safe224(uint256 n, string errorMessage) internal pure returns (uint224)

safe32

function safe32(uint256 n, string errorMessage) internal pure returns (uint32)

add_

function add_(struct ExponentialNoError.Exp a, struct ExponentialNoError.Exp b) internal pure returns (struct ExponentialNoError.Exp)

add_

function add_(struct ExponentialNoError.Double a, struct ExponentialNoError.Double b) internal pure returns (struct ExponentialNoError.Double)

add_

function add_(uint256 a, uint256 b) internal pure returns (uint256)

add_

function add_(uint256 a, uint256 b, string errorMessage) internal pure returns (uint256)

sub_

function sub_(struct ExponentialNoError.Exp a, struct ExponentialNoError.Exp b) internal pure returns (struct ExponentialNoError.Exp)

sub_

function sub_(struct ExponentialNoError.Double a, struct ExponentialNoError.Double b) internal pure returns (struct ExponentialNoError.Double)

sub_

function sub_(uint256 a, uint256 b) internal pure returns (uint256)

sub_

function sub_(uint256 a, uint256 b, string errorMessage) internal pure returns (uint256)

mul_

function mul_(struct ExponentialNoError.Exp a, struct ExponentialNoError.Exp b) internal pure returns (struct ExponentialNoError.Exp)

mul_

function mul_(struct ExponentialNoError.Exp a, uint256 b) internal pure returns (struct ExponentialNoError.Exp)

mul_

function mul_(uint256 a, struct ExponentialNoError.Exp b) internal pure returns (uint256)

mul_

function mul_(struct ExponentialNoError.Double a, struct ExponentialNoError.Double b) internal pure returns (struct ExponentialNoError.Double)

mul_

function mul_(struct ExponentialNoError.Double a, uint256 b) internal pure returns (struct ExponentialNoError.Double)

mul_

function mul_(uint256 a, struct ExponentialNoError.Double b) internal pure returns (uint256)

mul_

function mul_(uint256 a, uint256 b) internal pure returns (uint256)

mul_

function mul_(uint256 a, uint256 b, string errorMessage) internal pure returns (uint256)

div_

function div_(struct ExponentialNoError.Exp a, struct ExponentialNoError.Exp b) internal pure returns (struct ExponentialNoError.Exp)

div_

function div_(struct ExponentialNoError.Exp a, uint256 b) internal pure returns (struct ExponentialNoError.Exp)

div_

function div_(uint256 a, struct ExponentialNoError.Exp b) internal pure returns (uint256)

div_

function div_(struct ExponentialNoError.Double a, struct ExponentialNoError.Double b) internal pure returns (struct ExponentialNoError.Double)

div_

function div_(struct ExponentialNoError.Double a, uint256 b) internal pure returns (struct ExponentialNoError.Double)

div_

function div_(uint256 a, struct ExponentialNoError.Double b) internal pure returns (uint256)

div_

function div_(uint256 a, uint256 b) internal pure returns (uint256)

div_

function div_(uint256 a, uint256 b, string errorMessage) internal pure returns (uint256)

fraction

function fraction(uint256 a, uint256 b) internal pure returns (struct ExponentialNoError.Double)