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| template<typename T > |
| constexpr T | internal::atan2_compute (const T y, const T x) noexcept |
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| template<typename T1 , typename T2 , typename TC = common_return_t<T1,T2>> |
| constexpr TC | internal::atan2_type_check (const T1 y, const T2 x) noexcept |
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| template<typename T1 , typename T2 > |
| constexpr common_return_t< T1, T2 > | atan2 (const T1 y, const T2 x) noexcept |
| | Compile-time two-argument arctangent function. More...
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◆ atan2()
template<typename T1 , typename T2 >
| constexpr common_return_t< T1, T2 > atan2 |
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constexprnoexcept |
Compile-time two-argument arctangent function.
- Parameters
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| y | a real-valued input. |
| x | a real-valued input. |
- Returns
\[ \text{atan2}(y,x) = \begin{cases} \text{atan}(y/x) & \text{ if } x > 0 \\ \text{atan}(y/x) + \pi & \text{ if } x < 0 \text{ and } y \geq 0 \\ \text{atan}(y/x) - \pi & \text{ if } x < 0 \text{ and } y < 0 \\ + \pi/2 & \text{ if } x = 0 \text{ and } y > 0 \\ - \pi/2 & \text{ if } x = 0 \text{ and } y < 0 \end{cases} \]
The function is undefined at the origin, however the following conventions are used.
\[ \text{atan2}(y,x) = \begin{cases} +0 & \text{ if } x = +0 \text{ and } y = +0 \\ -0 & \text{ if } x = +0 \text{ and } y = -0 \\ +\pi & \text{ if } x = -0 \text{ and } y = +0 \\ - \pi & \text{ if } x = -0 \text{ and } y = -0 \end{cases} \]
1.9.4