mulmi

kyosu::mulmi = eve::functor<mulmi_t>

inlineconstexpr

Computes the value of the parameter multiplied by -i on the left or right side. For real, complex and quaternion the computation is an optimization over the call to * operator.

Header file

#include <kyosu/functions.hpp>

Callable Signatures

namespace kyosu
{
{  // regular call
   template<kyosu::concepts::cayley_dickson_like T> constexpr auto  mulmi(T z)        noexcept; //1
 
   // Semantic modifyer
   template<kyosu::concepts::cayley_dickson_like T> constexpr auto  mulmi[left}(T z)  noexcept; //1
   template<kyosu::concepts::cayley_dickson_like T> constexpr auto  mulmi[right](T z) noexcept; //2
}

Parameters

• z: Value to process.

Return value

1. Returns mi(as(z))*z If z is floating point a complex is returned,
2. Returns z*mi(as(z)) If z is floating point a complex is returned, Of course the option has no effect on real or complex inputs.

Example

#include <kyosu/kyosu.hpp>
#include <eve/wide.hpp>
#include <iostream>
 
int main()
{
 
 using wide_ft = eve::wide <float, eve::fixed<4>>;
  wide_ft r = { 3.0f, 2.0f, 1.0f, 0.5f};
  wide_ft i = { 2.0f , -1.0,  -5.0, 0.0};
  auto zc = kyosu::complex_t<wide_ft>(r, i);
  auto zq = kyosu::quaternion(1.0f, 2.0f, 3.0f, 4.0f);
 
  std::cout
    << "---- simd" << std::endl
    << "<- r                         = " << r << std::endl
    << "-> mulmi(r)                  = " << kyosu::mulmi(r)<< std::endl
    << "<- zc                        = " << zc << std::endl
    << "-> mulmi(zc)                 = " << kyosu::mulmi(zc)<< std::endl
    << "<- zq                        = " << zq << std::endl
    << "-> mulmi(zq)                 = " << kyosu::mulmi(zq) << std::endl
    << "-> mulmi[eve::left](zq)      = " << kyosu::mulmi[eve::left](zq) << std::endl
    << "-> mulmi[eve::right](zq)     = " << kyosu::mulmi[eve::right](zq) << std::endl;;
 
  return 0;
}