exponential.h File Reference

Exponential More...

#include <fennec/math/detail/_math.h>
#include <fennec/math/vector.h>

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Detailed Description

Author

Medusa Slockbower

Copyright

Copyright © 2025 Medusa Slockbower (GPLv3)

Functions
template<typename genType >
constexpr genType	fennec::pow (genType x, genType y)
	Returns \(x\) raised to the \(y\) power, i.e., \(x^y\).
template<typename genType >
constexpr genType	fennec::exp (genType x)
	Returns the natural exponentiation of \(x\), i.e., \(e^x\).
template<typename genType >
constexpr genType	fennec::exp2 (genType x)
	Returns 2 raised to the \(x\) power, i.e., \(e^x\).
template<typename genType >
constexpr genType	fennec::log (genType x)
	Returns the natural logarithm of \(x\).
template<typename genType >
constexpr genType	fennec::log2 (genType x)
	Returns the base 2 logarithm of \(x\).
template<typename genType >
constexpr genType	fennec::sqrt (genType x)
	Returns \(\sqrt{x}\).
template<typename genType >
constexpr genType	fennec::inversesqrt (genType x)
	Returns \(\frac{1}{\sqrt{x}}\).

Function Documentation

pow()

template<typename genType >

constexpr genType fennec::pow ( genType  x, genType  y  )

constexpr

Returns

\(x\) raised to the \(y\) power, i.e., \(x^y\).

Results are undefined if \(x<0\).

Results are undefined if \(x=0\) and \({y}\le{0}\).

Parameters

x	the base
y	the exponent

exp()

template<typename genType >

constexpr genType fennec::exp ( genType  x )

constexpr

Returns

the natural exponentiation of \(x\), i.e., \(e^x\).

Parameters

x	the exponent

exp2()

template<typename genType >

constexpr genType fennec::exp2 ( genType  x )

constexpr

Returns

2 raised to the \(x\) power, i.e., \(e^x\)

Parameters

x	the exponent

log()

template<typename genType >

constexpr genType fennec::log ( genType  x )

constexpr

Returns

the natural logarithm of \(x\), i.e., returns the value \(y\) which satisfies the equation \(x=e^y\).

Results are undefined if \({x}\le{0}\).

Parameters

x	the input value

log2()

template<typename genType >

constexpr genType fennec::log2 ( genType  x )

constexpr

Returns

the base 2 logarithm of \(x\), i.e., returns the value \(y\) which satisfies the equation \(x=2^y\).

Results are undefined if \({x}\le{0}\).

Parameters

x	the input value

sqrt()

template<typename genType >

constexpr genType fennec::sqrt ( genType  x )

constexpr

Returns

\(\sqrt{x}\).

Results are undefined if \(x<0\)

Parameters

x	the input value

inversesqrt()

template<typename genType >

constexpr genType fennec::inversesqrt ( genType  x )

constexpr

Returns

\(\frac{1}{\sqrt{x}}\).

Results are undefined if \(x<0\).

Parameters

x	the input value