acoth

auto eve::acoth = functor<acoth_t>

inlineconstexpr

Header file

#include <eve/module/math.hpp>

Callable Signatures

namespace eve
{
   // Regular overload
   constexpr auto acoth(floating_value auto x)                          noexcept; // 1
 
   // Lanes masking
   constexpr auto acoth[conditional_expr auto c](floating_value auto x) noexcept; // 2
   constexpr auto acoth[logical_value auto m](floating_value auto x)    noexcept; // 2
}

Parameters

• x: floating value.
• c: Conditional expression masking the operation.
• m: Logical value masking the operation.

Return value

1. Returns the elementwise inverse hyperbolic cotangent of the input in the range \([-\frac\pi2, \frac\pi2]\). In particular:
   • If the element is \(\pm1\), \(\pm0\) is returned.
   • If the element is \(\pm\infty\), \(\pm1\) is returned.
   • If the element is less than one or a NaN, NaN is returned.
2. The operation is performed conditionnaly.

External references

• Wolfram MathWorld: Inverse Hyperbolic Cotangent
• Wikipedia: Inverse hyperbolic functions
• DLMF

Example

// revision 1
#include <eve/module/math.hpp>
#include <iostream>
 
int main()
{
  eve::wide wf = {1.0f, 2.0f, eve::inf(eve::as<float>()), eve::nan(eve::as<float>())};
 
  std::cout << "<- wf                       = " << wf << "\n";
 
  std::cout << "-> acoth(wf)                = " << eve::acoth(wf) << "\n";
  std::cout << "-> acoth[ignore_last(2)](wf)= " << eve::acoth[eve::ignore_last(2)](wf) << "\n";
  std::cout << "-> acoth[wf != 2.0f](wf)    = " << eve::acoth[wf != 2.0f](wf) << "\n";
}