Log

Functions
template<typename T >
T	EGXMath::SignedLog (const T &x)
	Signed Log. Gives the signed (keeps sign on number) log base e of a number. \[signedLog(x)= sign(x)*Log_e(|x|)\] \[signedLog(x)= sign(x)*\int_{1}^{|x|}\frac{1}{t} dt\] . More...
template<typename T >
T	EGXMath::SignedLog (const T &x, const T &base)
	Signed Log. Gives the signed (keeps sign on number) log of a number in a base of your choice. \[signedLog(x)= sign(x)*\frac{Log_e(|x|)}{Log_e(base)}\] . More...

Detailed Description

Function Documentation

SignedLog() [1/2]

template<typename T >

T EGXMath::SignedLog

(

const T &

x

)

Signed Log. Gives the signed (keeps sign on number) log base e of a number.

\[signedLog(x)= sign(x)*Log_e(|x|)\]

\[signedLog(x)= sign(x)*\int_{1}^{|x|}\frac{1}{t} dt\]

.

See https://en.wikipedia.org/wiki/Logarithm and http://mathworld.wolfram.com/NaturalLogarithm.html

Parameters

x	\(x\ (dimensionless)\) is the argument of the function. Inputting 0 results in an error.

Returns

\(signedLog(x)\ (dimensionless)\) is the signed log of x in base e.

SignedLog() [2/2]

template<typename T >

T EGXMath::SignedLog	(	const T &	x,
		const T &	base
	)

Signed Log. Gives the signed (keeps sign on number) log of a number in a base of your choice.

\[signedLog(x)= sign(x)*\frac{Log_e(|x|)}{Log_e(base)}\]

.

See https://en.wikipedia.org/wiki/Logarithm and http://mathworld.wolfram.com/NaturalLogarithm.html

Parameters

x	\(x\ (dimensionless)\) is the argument of the function. Inputting 0 results in an error.
base	\(base\ (dimensionless)\) is the base that the log is taken in. Base is a positive real number.

Returns

\(signedLog(x)\ (dimensionless)\) is the signed log of x in base.