cos

kyosu::cos = eve::functor<cos_t>

inlineconstexpr

Computes the cosine of the argument.

Header file

#include <kyosu/functions.hpp>

Callable Signatures

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

Parameters

• z: Value to process.

Return value

1. Returns the cosine of the argument.
2. The behavior of this function is equivalent to eve::cosh(i*z).
3. Returns \(\cosh(I_z\; z)\) if \(z\) is not zero else \(\cos(z_0)\), where \(I_z = \frac{\underline{z}}{|\underline{z}|}\) and \(\underline{z}\) is the pure part of \(z\).

External references

• C++ standard reference: complex cos
• Wolfram MathWorld: Cosine
• Wikipedia: cosinus

Example

#include <kyosu/kyosu.hpp>
#include <eve/wide.hpp>
#include <iostream>
 
int main()
{
  using kyosu::cos;
  using kyosu::complex_t;
  using kyosu::quaternion_t;
  using e_t = float;
  using c_t = kyosu::complex_t<float>;
  using q_t = kyosu::quaternion_t<float>;
  using we_t = eve::wide<e_t, eve::fixed<2>>;
  using wc_t = eve::wide<c_t, eve::fixed<2>>;
  using wq_t = eve::wide<q_t, eve::fixed<2>>;
 
  std::cout << "Real:        \n";
  e_t e(2.9f);
  we_t we = we_t(e);
  std::cout << e << " -> " << cos(e) << "\n";
  std::cout << we << " -> " << cos(we) << "\n";
  std::cout               << cos(c_t(e))<< "\n";
  std::cout               << cos(q_t(e))<< "\n";
  std::cout               << cos(wc_t(e))<< "\n";
  std::cout               << cos(wq_t(e))<< "\n";
 
  std::cout << "Complex:     \n";
  c_t c(3.5f,-2.9f);
  wc_t wc = wc_t(c);
  std::cout << c << " -> " << cos(c) << "\n";
  std::cout << wc << " -> " << cos(wc) << "\n";
  std::cout               << cos(q_t(c))<< "\n";
  std::cout               << cos(wq_t(c))<< "\n";
 
  std::cout << "Quaternion:  \n";
  q_t q(3.5f,-2.9f, 2.1f, 3.2f);
  wq_t wq = wq_t(q);
  std::cout << q << " -> " << cos(q) << "\n";
  std::cout << wq << " -> " << cos(wq) << "\n";
 
  return 0;
}