jpart

kyosu::jpart = {}

inlineconstexpr

Extracts the \(j\) part of a value.

Defined in Header

#include <kyosu/functions.hpp>

Callable Signatures

namespace kyosu
{
   template<kyosu::concepts::cayley_dickson T> constexpr auto& jpart(T& z)        noexcept;
   template<kyosu::concepts::cayley_dickson T> constexpr auto  jpart(T const& z)  noexcept;
   template<eve::floating_ordered_value T>     constexpr T     jpart(T const& z)  noexcept;
}

Parameters

• z: Original value.

Return value

Returns the \(j\) part of its argument. For real and complex inputs, the call returns 0. Its the third coefficient in the z representation and so is 0 for complex and floating.

Example

#include <kyosu/kyosu.hpp>
#include <eve/wide.hpp>
#include <iostream>
 
int main()
{
  using kyosu::jpart;
  using kyosu::complex_t;
  using kyosu::quaternion_t;
 
  std::cout << "Real:        ";
  float f = 72.9f;
  std::cout << f << " -> " << jpart(f) << "\n";
 
  std::cout << "Complex:     ";
  auto z = kyosu::complex_t<float>(3.5f,-2.9f);
  std::cout << z << " -> " << jpart(z) << "\n";
 
  std::cout << "Quaternion:  ";
  auto q = kyosu::quaternion_t<double>(1.,2.,3.,4.);
  std::cout << q << " -> " << jpart(q)  <<  " => ";
  jpart(q) = 42.7;
  std::cout << q << "\n";
 
  std::cout << "SIMD:        ";
  eve::wide<kyosu::quaternion_t<double>, eve::fixed<2>> wz(kyosu::quaternion_t<double>(1.3,-3.7,4.2,-7.8));
  std::cout << wz << " -> " << jpart(wz) <<   " => ";
  jpart(wz) = eve::wide<double, eve::fixed<2>>{13.37,63.24};
  std::cout << wz << "\n";
 
  return 0;
}