rot_angle

auto kyosu::rot_angle = eve::functor<rot_angle_t>

inlineconstexpr

Callable object computing the normalized angle of rotation defined by a quaternion.

Header file

#include kyosu/quaternion.hpp>`

Callable Signatures

namespace eve
{
  auto rot_angle(auto q) const        noexcept;
  auto rot_angle[radpi](auto q) const noexcept;
}

Parameters

q: quaternion, complex or floating

Return value

the rotation angle. This is two times the arg of the quaternion. If the radpi option is used the angles are returned in \(\pi\) multiples else in radian.

Example

#include <eve/wide.hpp>
#include <iostream>
#include <kyosu/kyosu.hpp>
 
int main()
{
  using kyosu::complex_t;
  using kyosu::quaternion_t;
  using kyosu::rot_angle;
 
  //   std::cout << "Real:        ";
  //   std::cout << 72.9f << " -> " << rot_angle(72.9f) << "\n";
 
  std::cout << "Complex:     ";
  std::cout << kyosu::complex_t<float>(3.5f, -2.9f) << " -> " << rot_angle(kyosu::complex_t<float>(3.5f, -2.9f))
            << "\n";
 
  std::cout << "Quaternion:  ";
  std::cout << kyosu::quaternion_t<double>(1., 2., 3., 4.) << " -> "
            << rot_angle(kyosu::quaternion_t<double>(1., 2., 3., 4.)) << "\n";
 
  std::cout << "SIMD:        ";
  using wc_t = eve::wide<kyosu::complex_t<double>, eve::fixed<2>>;
  std::cout << wc_t(kyosu::complex_t<double>(1.3, -3.7)) << " -> "
            << rot_angle(wc_t(kyosu::complex_t<double>(1.3, -3.7))) << "\n";
 
  return 0;
}