E.V.E
v2023.02.15

◆ secpi

eve::secpi = {}
inlineconstexpr

Callable object computing secant from an input in \(\pi\) multiples.

Defined in Header

#include <eve/module/math.hpp>

Callable Signatures

namespace eve
{
template< eve::floating_value T >
T secpi(T x) noexcept; //1
template< eve::floating_value T >
as_complex_t<T> secpi(as_complex_t<T> z) noexcept; //2
}
constexpr callable_secpi_ secpi
Callable object computing secant from an input in multiples.
Definition: secpi.hpp:74
Definition: abi.hpp:18

Parameters

Return value

  1. Returns the elementwise secant of the input expressed in \(\pi\) multiples.

    The call secpi(x) is semantically equivalent to \(\sec(\pi x)\). In particular:

    • If the element is \(\pm0\), \(1\) is returned.
    • If the element is \(\pm\infty\), Nan is returned.
    • If the element is a Nan, NaN is returned.
  2. Returns elementwise the secant of the input i.e. \(\1/cos(z)\) expressed in \(\pi\) multiples.

Example

#include <eve/module/math.hpp>
#include <eve/wide.hpp>
#include <iostream>
int main()
{
wide_ft pf = {1.0f, 0.0f, eve::inf(eve::as<float>()), 0.5f};
std::cout << "---- simd" << '\n'
<< "<- pf = " << pf << '\n'
<< "-> secpi(pf) = " << eve::secpi(pf) << '\n'
;
float xf = 3.0f;
std::cout << "---- scalar" << '\n'
<< "<- xf = " << xf << '\n'
<< "-> secpi(xf) = " << eve::secpi(xf) << '\n';
return 0;
}
constexpr callable_inf_ inf
Computes the infinity ieee value.
Definition: inf.hpp:58
Lightweight type-wrapper.
Definition: as.hpp:29
Wrapper for SIMD registers.
Definition: wide.hpp:65

Semantic Modifiers