to_spherical

auto kyosu::to_spherical = eve::functor<to_spherical_t>

inlineconstexpr

Callable object computing the spherical coordinates from a quaternion.

This function is the reciprocal of from_spherical

Header file

#include kyosu/quaternion.hpp>`

Callable Signatures

namespace eve
{
  auto to_spherical(auto q) const noexcept;
}

Parameters

q: quaternion

Return value

a tuple containing in this order rho, theta, ph1 ph2: the components of the spherical parametrisation of \(\mathbb{R}^4\) coordinates If the radpi is used theta1, phi1 and phi2 are expressed 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::to_spherical;
  using e_t = float;
  using c_t = kyosu::complex_t<float>;
  using q_t = kyosu::quaternion_t<float>;
  using we_t = eve::wide<float, eve::fixed<2>>;
  using wc_t = eve::wide<kyosu::complex_t<float>, eve::fixed<2>>;
  using wq_t = eve::wide<kyosu::quaternion_t<float>, eve::fixed<2>>;
 
  std::cout << "Real:        " << "\n";
  e_t e0(1);
  std::cout << e0 << " -> " << to_spherical(e0) << "\n";
  we_t we0(e0);
  std::cout << we0 << " -> " << to_spherical(we0) << "\n";
 
  std::cout << "Complex:     " << "\n";
  c_t c0(1, 5);
  std::cout << c0 << " -> " << to_spherical(c0) << "\n";
  wc_t wc0(c0);
  std::cout << wc0 << " -> " << to_spherical(wc0) << "\n";
 
  std::cout << "Quaternion:  " << "\n";
  q_t q0(1, 5, 2, 3);
  std::cout << q0 << " -> " << to_spherical(q0) << "\n";
  wq_t wq0(q0);
  std::cout << wq0 << " -> " << to_spherical(wq0) << "\n";
 
  return 0;
}