exp.hpp File Reference

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Namespaces
namespace	internal

Functions
template<typename T >
constexpr T	internal::exp_cf_recur (const T x, const int depth) noexcept
template<typename T >
constexpr T	internal::exp_cf (const T x) noexcept
template<typename T >
constexpr T	internal::exp_split (const T x) noexcept
template<typename T >
constexpr T	internal::exp_check (const T x) noexcept
template<typename T >
constexpr return_t< T >	exp (const T x) noexcept
	Compile-time exponential function. More...

Function Documentation

exp()

template<typename T >

constexpr return_t< T > exp ( const T  x )

constexprnoexcept

Compile-time exponential function.

Parameters

x	a real-valued input.

Returns

\( \exp(x) \) using

\[ \exp(x) = \dfrac{1}{1-\dfrac{x}{1+x-\dfrac{\frac{1}{2}x}{1 + \frac{1}{2}x - \dfrac{\frac{1}{3}x}{1 + \frac{1}{3}x - \ddots}}}} \]

The continued fraction argument is split into two parts: \( x = n + r \), where \( n \) is an integer and \( r \in [-0.5,0.5] \).