from_semipolar

kyosu::from_semipolar = {}

inlineconstexpr

Callable object computing a quaternion from its semipolar representation.

This function build quaternions in a way similar to the way polar builds complex numbers from a polar representation of an \(\mathbb{R}^2\) element.

from_semipolar first two inputs are the polar coordinates of the first \(\mathbb{C}\) component of the quaternion. The third and fourth inputs are placed into the third and fourth \(\mathbb{R}\) components of the quaternion, respectively.

Defined in header

#include kyosu/module/quaternion.hpp>`

Callable Signatures

namespace kyosu
{
  auto from_semipolar(auto r, auto angle, auto h1, auto h2) const noexcept;
}

Parameters

• r, angle,h1,h2`

Return value

the quaternion value.

Example

#include <kyosu/kyosu.hpp>
#include <eve/wide.hpp>
#include <iostream>
 
int main()
{
  using kyosu::from_semipolar;
  using kyosu::complex_t;
  using kyosu::quaternion_t;
 
  auto r1 = 2.0;
  auto t1 = eve::pio_3(eve::as(r1));
  auto h1 = 3.0;
  auto h2 = eve::pio_2(eve::as(r1));
  std::cout << " <- r1 " << r1 << std::endl;
  std::cout << " <- t1 " << t1<< std::endl;
  std::cout << " <- h1 " << h1<< std::endl;
  std::cout << " <- h2 " << h2<< std::endl;
  std::cout << " -> " << from_semipolar(r1, t1, h1, h2) << "\n";
 
  return 0;
}