kyosu v0.1.0
Complex Without Complexes
 
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◆ abs

kyosu::abs = {}
inlineconstexpr

Computes the absolute value of the parameter.

Defined in Header

#include <kyosu/functions.hpp>

Callable Signatures

namespace kyosu
{
template<kyosu::concepts::cayley_dickson T> constexpr as_real_type_t<T> abs(T z) noexcept;
template<eve::floating_ordered_value T> constexpr T abs(T z) noexcept;
}
constexpr tags::callable_abs abs
Computes the absolute value of the parameter.
Definition: abs.hpp:73
typename as_real_type< T >::type as_real_type_t
Compute the real type associated to a Cayley-Dickson-like type.
Definition: traits.hpp:80
Main KYOSU namespace.
Definition: types.hpp:14

Parameters

  • z: Value to process.

Return value

  • Returns the modulus of its argument which always is a floating ordered value. The modulus is the square root of the sum of the square of the absolute value of each component.

Example

#include <kyosu/kyosu.hpp>
#include <eve/wide.hpp>
#include <iostream>
int main()
{
using kyosu::abs;
std::cout << "Real: ";
std::cout << 72.9f << " -> " << abs(72.9f) << "\n";
std::cout << "Complex: ";
std::cout << kyosu::complex_t<float>(3.5f,-2.9f) << " -> " << abs(kyosu::complex_t<float>(3.5f,-2.9f)) << "\n";
std::cout << "Quaternion: ";
std::cout << kyosu::quaternion_t<double>(1.,2.,3.,4.) << " -> " << 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)) << " -> " << abs(wc_t(kyosu::complex_t<double>(1.3,-3.7))) << "\n";
return 0;
}
as_cayley_dickson_n_t< 4, T > quaternion_t
Type alias for quaternion numbers.
Definition: quaternion.hpp:27
as_cayley_dickson_n_t< 2, T > complex_t
Type alias for complex numbers.
Definition: complex.hpp:27