asech

kyosu::asech = eve::functor<asech_t>

inlineconstexpr

Computes the inverse hyperbolic secant of the argument.

Header file

#include <kyosu/functions.hpp>

Callable Signatures

namespace kyosu
{
   template<eve::floating_ordered_value T>     constexpr auto asech(T z) noexcept;  //1
   template<kyosu::concepts::cayley_dickson T> constexpr auto asech(T z) noexcept;  //2
}

Parameters

• z: Value to process.

Return value

1. a real input z is treated as if complex(z) was entered.
2. Returns elementwise acosh(rec(z)).

External references

• Wolfram MathWorld: Inverse Hyperbolic Secant
• Wikipedia: Inverse hyperbolic functions
• DLMF: Inverse hyperbolic function

Example

#include <kyosu/kyosu.hpp>
#include <eve/wide.hpp>
#include <iostream>
 
int main()
{
 
 using wide_ft = eve::wide <float, eve::fixed<4>>;
  wide_ft ref1 = { 3.0f, 2.0f, 1.0f, 0.5f};
  wide_ft imf1 = { 2.0f , -1.0,  -5.0, 0.0};
  wide_ft ref2 = { 0.0, 1.0, 2.0, 3.0};
  auto zc = kyosu::complex_t<wide_ft>(ref1, imf1);
 
  std::cout
    << "---- simd" << std::endl
    << "<- zc             = " << zc << std::endl
    << "-> asech(zc)      = " << kyosu::asech(zc)<< std::endl
    << "-> asech(ref2)    = " << kyosu::asech(ref2) << std::endl;
 
  return 0;
}