acot

kyosu::acot = eve::functor<acot_t>

inlineconstexpr

Computes the arc cotangent of the argument.

Header file

#include <kyosu/functions.hpp>

Callable Signatures

namespace kyosu
{
   template<kyosu::concepts::cayley_dickson T> constexpr T acot(T z) noexcept;
}

Parameters

• z: Value to process.

Return value

• A real typed input z calls eve::acot(z) and so returns the same type as the input.
• For complex input, returns elementwise the complex principal value of the arc cotangent of the input as the arc tangent of the inverse of the input.
• For other general cayley_dickson input, returns \(I_z \mathrm{acoth}(z I_z)\) where \(I_z = \frac{\underline{z}}{|\underline{z}|}\) and \(\underline{z}\) is the pure part of \(z\).

External references

• Wolfram MathWorld: Inverse Cotangent
• DLMF: Inverse trigonometric functions

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