kyosu v0.1.0
Complex Without Complexes
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◆ mulmi

auto 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
}
constexpr auto mulmi
Computes the value of the parameter multiplied by -i on the left or right side. For real,...
Definition mulmi.hpp:67
Main KYOSU namespace.
Definition cinf.hpp:13

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 <eve/wide.hpp>
#include <iostream>
#include <kyosu/kyosu.hpp>
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;
}
constexpr auto quaternion
Constructs a kyosu::quaternion_t instance.
Definition to_quaternion.hpp:82
as_cayley_dickson_n_t< 2, T > complex_t
Type alias for complex numbers.
Definition complex.hpp:27