sinhc

eve::sinhc = {}

inlineconstexpr

Callable object computing \(\frac{e^x-e^{-x}}{2x}\).

Defined in Header

#include <eve/module/math.hpp>

Callable Signatures

namespace eve
{
   template< eve::floating_value T >
   T sinhc(T x) noexcept;
}

Parameters

x: floating value.

Return value

Returns the elementwise hyperbolic sine of the input divided by the input.

In particular:

• If the element is \(\pm0\), \(1\) is returned.
• If the element is \(\pm\infty\), \(\pm\infty\) is returned.
• If the element is a Nan, NaN is returned.

Example

#include <eve/module/math.hpp>
#include <eve/wide.hpp>
#include <iostream>
 
using wide_ft = eve::wide<float, eve::fixed<4>>;
 
int main()
{
  wide_ft pf = {1.0f, 0.0f, eve::inf(eve::as<float>()), 0.5f};
 
  std::cout << "---- simd" << '\n'
            << "<- pf              = " << pf << '\n'
            << "-> sinhc(pf)       = " << eve::sinhc(pf) << '\n'
            ;
 
  float xf = 3.0f;
 
  std::cout << "---- scalar" << '\n'
            << "<- xf        = " << xf << '\n'
            << "-> sinhc(xf) = " << eve::sinhc(xf) << '\n';
  return 0;
}