sqr_abs

auto kyosu::sqr_abs = eve::functor<sqr_abs_t>

inlineconstexpr

Computes the squared sqr_absolute value of the parameter.

Header file

#include <kyosu/functions.hpp>

Callable Signatures

namespace kyosu
{
   template<kyosu::concepts::cayley_dickson_like T> constexpr as_real_type_t<T>  sqr_abs(T z)           noexcept; //1
   template<kyosu::concepts::cayley_dickson_like T> constexpr as_real_type_t<T>  sqr_abs[pedantic](T z) noexcept; //2
}

Parameters

• z: Value to process.

Return value

1. Returns the squared modulus of its argument, a floating value.
2. Returns inf as soon as the sum of the non-nan squared components is infinite

Example

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