E.V.E
v2023.02.15

◆ sech

eve::sech = {}
inlineconstexpr

Callable object computing \(\frac2{e^x-e^{-x}}\).

Defined in Header

#include <eve/module/math.hpp>

Callable Signatures

namespace eve
{
template< eve::floating_value T >
T sech(T x) noexcept; //1
template< eve::floating_value T >
as_complex_t<T> csch(as_complex_t<T> z) noexcept; //2
}
constexpr callable_sech_ sech
Callable object computing .
Definition: sech.hpp:63
constexpr callable_csch_ csch
Callable object computing .
Definition: csch.hpp:62
Definition: abi.hpp:18

Parameters

Return value

  1. Returns the elementwise hyperbolic secant of the input.

    In particular:

    • If the element is \(\pm0\), 1 is returned.
    • If the element is \(\pm\infty\), \(+0\) is returned.
    • If the element is a NaN, NaN is returned.
  2. Returns elementwise the hyperbolic secant of the input The behavior of this function is equivalent to eve::rec(eve::cosh(z)).

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'
<< "-> sech(pf) = " << eve::sech(pf) << '\n'
;
float xf = 3.0f;
std::cout << "---- scalar" << '\n'
<< "<- xf = " << xf << '\n'
<< "-> sech(xf) = " << eve::sech(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