mi

auto kyosu::mi = eve::functor<mi_t>

inlineconstexpr

Computes the complex number \(-i\) in the chosen type.

Defined in Header

#include <kyosu/constants.hpp>

Callable Signatures

namespace kyosu
{
   template<kyosu::concepts::cayley_dickson T> constexpr T mi(as<T> z) noexcept;
   template<eve::floating_ordered_value T>     constexpr complex_t<eve::as_floating_point_t<T>> mi(as<T> z) noexcept;
}

Parameters

• z: Value to process.

Return value

• always returns a complex scalar value mi such that real(mi) is null and imag(i) is -1.

Example

#include <eve/wide.hpp>
#include <iostream>
#include <kyosu/kyosu.hpp>
 
int main()
{
  using kyosu::as;
  using kyosu::complex_t;
  using kyosu::mi;
  using kyosu::quaternion_t;
 
  std::cout << "Real:        \n";
  std::cout << "mi(kyosu::as(72.9f))" << " -> " << mi(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 << "mi(as(c) " << " -> " << mi(as(c)) << "\n";
 
  std::cout << "Quaternion:  \n";
  auto z = kyosu::quaternion_t<double>(1., 2., 3., 4.);
  std::cout << "mi(as(z) " << " -> " << mi(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 << "mi(as(wz)) " << " -> " << mi(as(wz)) << "\n";
 
  return 0;
}