acoth

kyosu::acoth = {}

inlineconstexpr

Computes the inverse hyperbolic cotangent of the argument.

Defined in Header

#include <kyosu/functions.hpp>

Callable Signatures

namespace kyosu
{
   template<eve::floating_ordered_value T>     constexpr auto acoth(T z) noexcept;  //1
   template<kyosu::concepts::complex T>        constexpr auto acoth(T z) noexcept;  //2
   template<kyosu::concepts::cayley_dickson T> constexpr auto acoth(T z) noexcept;  //3
}

Parameters

• z: Value to process.

Return value

1. a real input z is treated as if kyosu::complex(z) was entered.
2. Returns the complex inverse hyperbolic cotangent of z, computed as \(\mathop{\mathrm{atanh}}(1/z)\).
3. Returns \((\log(z+1)-\log(z-1))/2 \).

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
    << "-> acoth(zc)      = " << kyosu::acoth(zc)<< std::endl
    << "-> acoth(ref2)    = " << kyosu::acoth(ref2) << std::endl;
 
  return 0;
}