j

kyosu::j = eve::functor<j_t>

inlineconstexpr

Computes the complex number j i.e. quaternion(0, 0, 1, 0) in the chosen type.

Defined in Header

#include <kyosu/constants.hpp>

Callable Signatures

namespace kyosu
{
   template<kyosu::concepts::cayley_dickson T> auto j(as<T> z) noexcept;
   template<eve::floating_ordered_value T>     auto j(as<T> z) noexcept;
}

Parameters

• z: Value to process.

Return value

• always returns a cayley-dickson which has dimension at least 4 and value j such that all parts are null except the jpart whose value is one.

Example

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