E.V.E
v2022.09.01

◆ atan

eve::atan = {}
inlineconstexpr

Callable object computing the arc tangent.

Defined in Header

#include <eve/module/math.hpp>

Callable Signatures

namespace eve
{
template< eve::floating_value T >
T atan(T x) noexcept; //1
template< eve::floating_value T >
}
constexpr callable_atan_ atan
Callable object computing the arc tangent.
Definition: atan.hpp:75
Definition: all_of.hpp:22
SIMD-compatible representation of complex numbers.
Definition: complex.hpp:40

Parameters

Return value

  1. Returns the elementwise arc cotangent of the input in the range \([-\frac\pi2, \frac\pi2]\).

    In particular:

    • If the element is \(\pm0\), \(\pm0\) is returned.
    • If the element is \(\pm\infty\), \(\pm\frac\pi2\) is returned.
    • If the element is a Nan, NaN is returned.
  2. Returns the elementwise the complex principal value of the arc tangent of the input in the range of a strip unbounded along the imaginary axis and in the interval \([-\pi/2, \pi/2]\) along the real axis.

    special cases are handled as if the operation was implemented by \(-i \mathrm{atanh}(i z)\)

Example

Real version

#include <eve/module/math.hpp>
#include <eve/wide.hpp>
#include <iostream>
int main()
{
wide_ft pf = { 0.0f, 2.0f, -1.0f, -0.5f};
std::cout
<< "---- simd" << '\n'
<< "<- pf = " << pf << '\n'
<< "-> atan(pf) = " << eve::atan(pf) << '\n'
;
float xf = 1.0f;
float yf = eve::inf(eve::as<float>());
std::cout
<< "---- scalar" << '\n'
<< "<- xf = " << xf << '\n'
<< "-> atan(xf) = " << eve::atan(xf) << '\n'
<< "<- yf = " << yf << '\n'
<< "-> atan(yf) = " << eve::atan(yf) << '\n';
return 0;
}
constexpr callable_inf_ inf
Computes the infinity ieee value.
Definition: inf.hpp:58
Lightweight type-wrapper.
Definition: as.hpp:29
Wrapper for SIMD registers.
Definition: wide.hpp:65

Complex version

#include <eve/module/complex.hpp>
#include <eve/wide.hpp>
#include <iostream>
int main()
{
wide_ft ref = { 0.0f, 1.0f, -1.0f, 0.5f};
wide_ft imf = { 2.0f , -1.0, -5.0, 0.0};
auto z = eve::as_complex_t<wide_ft>(ref, imf);
std::cout
<< "---- simd" << std::endl
<< "<- z = " << z << std::endl
<< "-> atan(z) = " << eve::atan(z) << std::endl;
return 0;
}