E.V.E
v2023.02.15

◆ gd

eve::gd = {}
inlineconstexpr

Callable object computing the gudermanian gd: \(\int_0^\infty 1/\cosh x dx\).

Defined in Header

#include <eve/module/math.hpp>

Callable Signatures

namespace eve
{
template< eve::floating_value T >
T gd(T x) noexcept;
}
constexpr callable_gd_ gd
Callable object computing the gudermanian gd: .
Definition: gd.hpp:57
Definition: abi.hpp:18

Parameters

x: floating real value.

Return value

Returns the elementwise gudermanian of the input.

In particular:

  • If the element is \(\pm0\), 0 is returned.
  • If the element is \(\pm\infty\), \(\pm\pi/2\) is returned.
  • If the element is a NaN, NaN is returned.

Example

#include <eve/module/math.hpp>
#include <eve/wide.hpp>
#include <iostream>
int main()
{
wide_ft pf = {1.0f, 0.0f, eve::inf(eve::as<float>()), eve::nan(eve::as<float>())};
std::cout << "---- simd" << '\n'
<< "<- pf = " << pf << '\n'
<< "-> gd(pf) = " << eve::gd(pf) << '\n'
;
float xf = 3.0f;
std::cout << "---- scalar" << '\n'
<< "<- xf = " << xf << '\n'
<< "-> gd(xf) = " << eve::gd(xf) << '\n';
return 0;
}
constexpr callable_nan_ nan
Computes the IEEE NaN constant.
Definition: nan.hpp:53
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