E.V.E
v2023.02.15

◆ asin

eve::asin = {}
inlineconstexpr

Callable object computing the arc sine.

Defined in Header

#include <eve/module/math.hpp>

Callable Signatures

namespace eve
{
template< eve::floating_value T >
T asin(T x) noexcept; //1
template< eve::floating_value T >
}
constexpr callable_asin_ asin
Callable object computing the arc sine.
Definition: asin.hpp:82
Definition: abi.hpp:18
SIMD-compatible representation of complex numbers.
Definition: complex.hpp:39

Parameters

Return value

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

    In particular:

    • If the element is \(1\), \(+0\) is returned.
    • If the element \(|x| > 1\), NaN is returned.
    • If the element is a Nan, NaN is returned.
  2. Returns the elementwise the complex principal value of the arc sine 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 \(-i \mathrm{asinh}(i z)\)

Example

Real version

#include <eve/module/math.hpp>
#include <eve/wide.hpp>
#include <iostream>
int main()
{
wide_ft pf = { 0.0f, 1.0f, -1.0f, -0.5f};
std::cout
<< "---- simd" << '\n'
<< "<- pf = " << pf << '\n'
<< "-> asin(pf) = " << eve::asin(pf) << '\n'
;
float xf = 1.0f;
float yf = eve::nan(eve::as<float>());
std::cout
<< "---- scalar" << '\n'
<< "<- xf = " << xf << '\n'
<< "-> asin(xf) = " << eve::asin(xf) << '\n'
<< "<- yf = " << yf << '\n'
<< "-> asin(yf) = " << eve::asin(yf) << '\n';
return 0;
}
constexpr callable_nan_ nan
Computes the IEEE NaN constant.
Definition: nan.hpp:53
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" << '\n'
<< "<- z = " << z << '\n'
<< "-> acos(z) = " << eve::acos(z) << '\n';
return 0;
}
constexpr callable_acos_ acos
Callable object computing the arc cosine.
Definition: acos.hpp:100