from_multipolar

kyosu::from_multipolar = eve::functor<from_multipolar_t>

inlineconstexpr

Callable object computing a quaternion from its multipolar representation.

This function build quaternions in a way similar to the way polar builds complex numbers from a multipolar representation of an \(\mathbb{R}^4\) element.

from_multipolar takes the two successive \(\mathbb{C}\) components of the quaternion in polar coordinates

Header file

#include kyosu/quaternion.hpp>`

Callable Signatures

namespace eve
{
  auto from_multipolar(auto rho1, auto theta1, auto rho2, auto theta2) noexcept;
}

Parameters

rho1, rho2: the moduli

theta1, theta2: the angles in radian

Return value

the quaternion value

---

Example

#include <kyosu/kyosu.hpp>
#include <eve/wide.hpp>
#include <iostream>
 
int main()
{
  using kyosu::from_multipolar;
  using kyosu::complex_t;
  using kyosu::quaternion_t;
 
  auto r1 = 2.0;
  auto t1 = eve::pio_3(eve::as(r1));
  auto r2 = 3.0;
  auto t2 = eve::pio_2(eve::as(r1));
  std::cout << " <- r1 " << r1 << std::endl;
  std::cout << " <- t1 " << t1<< std::endl;
  std::cout << " <- r2 " << r2<< std::endl;
  std::cout << " <- t2 " << t2<< std::endl;
  std::cout << " -> " << from_multipolar(r1, t1, r2, t2) << "\n";
 
  return 0;
}