atan.hpp File Reference

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Namespaces
namespace	internal

Functions
template<typename T >
constexpr T	internal::atan_series_order_calc (const T x, const T x_pow, const uint_t order) noexcept
template<typename T >
constexpr T	internal::atan_series_order (const T x, const T x_pow, const uint_t order, const uint_t max_order) noexcept
template<typename T >
constexpr T	internal::atan_series_main (const T x) noexcept
template<typename T >
constexpr T	internal::atan_cf_recur (const T xx, const uint_t depth, const uint_t max_depth) noexcept
template<typename T >
constexpr T	internal::atan_cf_main (const T x) noexcept
template<typename T >
constexpr T	internal::atan_begin (const T x) noexcept
template<typename T >
constexpr T	internal::atan_check (const T x) noexcept
template<typename T >
constexpr return_t< T >	atan (const T x) noexcept
	Compile-time arctangent function. More...

Function Documentation

atan()

template<typename T >

constexpr return_t< T > atan ( const T  x )

constexprnoexcept

Compile-time arctangent function.

Parameters

x	a real-valued input.

Returns

the inverse tangent function using

\[ \text{atan}(x) = \dfrac{x}{1 + \dfrac{x^2}{3 + \dfrac{4x^2}{5 + \dfrac{9x^2}{7 + \ddots}}}} \]