acsch

eve::acsch = functor<acsch_t>

inlineconstexpr

Header file

#include <eve/module/math.hpp>

Callable Signatures

namespace eve
{
   // Regular overload
   constexpr auto acsch(floating_value auto x)                          noexcept; // 1
 
   // Lanes masking
   constexpr auto acsch[conditional_expr auto c](floating_value auto x) noexcept;  // 3
   constexpr auto acsch[logical_value auto m](floating_value auto x)    noexcept;  // 3
}

Parameters

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

Return value

1. Returns the elementwise inverse hyperbolic cosecant of the input. For values in the domain x>1, the inverse hyperbolic cosecant is semantically equivalent to \(\log(1/x+\sqrt{1/x^2+1})\). In particular:
   • If the element is \(\pm\infty\), \(\pm0\) returned.
   • If the element is \(\pm1\), \(\pm\infty\) is returned.
   • If the element does not belong \(]0,1[\), NaN is returned.
2. The operation is performed conditionnaly.

External references

• Wolfram MathWorld: Inverse Hyperbolic Cosecant
• 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>()), 0.5f};
 
  std::cout << "<- wf                       = " << wf << "\n";
 
  std::cout << "-> acsch(wf)                = " << eve::acsch(wf) << "\n";
  std::cout << "-> acsch[ignore_last(2)](wf)= " << eve::acsch[eve::ignore_last(2)](wf) << "\n";
  std::cout << "-> acsch[wf != 2.0f](wf)    = " << eve::acsch[wf != 2.0f](wf) << "\n";
}