E.V.E
v2023.02.15
 
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◆ erfc

auto eve::erfc = functor<erfc_t>
inlineconstexpr

Header file

#include <eve/module/special.hpp>

Callable Signatures

namespace eve
{
// Regular overload
constexpr auto erfc(floating_value auto x) noexcept; // 1
// Lanes masking
constexpr auto erfc[conditional_expr auto c](floating_value auto x) noexcept; // 2
constexpr auto erfc[logical_value auto m](floating_value auto x) noexcept; // 2
}
Specifies that a type is a Conditional Expression.
Definition conditional.hpp:28
The concept floating_value<T> is satisfied if and only if T satisfies eve::value and the element type...
Definition value.hpp:116
The concept logical_value<T> is satisfied if and only if T satisfies eve::value and the element type ...
Definition value.hpp:132
constexpr auto erfc
elementwise_callable object computing the complementary error function
Definition erfc.hpp:82
EVE Main Namespace.
Definition abi.hpp:18

Parameters

Return value

  1. The value of the complementary error function: \( \displaystyle \mbox{erf}(x)=1-\frac{2}{\sqrt\pi}\int_0^{x} e^{-t^2}\mbox{d}t\). In particular:
    • If the argument is \(\pm0\), \(1\) is returned.
    • If the argument is \(\infty\), \(1\) is returned.
    • If the argument is \(-\infty\), \(2\) is returned.
    • If the argument is Nan, nan is returned.
  2. The operation is performed conditionnaly.

External references

Example

// revision 1
#include <eve/module/special.hpp>
#include <iostream>
int main()
{
eve::wide wf = {0.0f, -0.0f, -1.0f, 1.0f, 2.0f,
std::cout << "<- wf = " << wf << "\n";
std::cout << "-> erf(wf) = " << eve::erf(wf) << "\n";
std::cout << "-> erf[ignore_last(2)](wf)= " << eve::erf[eve::ignore_last(2)](wf) << "\n";
std::cout << "-> erf[wf <= 2.0f](wf) = " << eve::erf[wf <= 2.0f](wf) << "\n";
}
constexpr auto nan
Computes the IEEE quiet NaN constant.
Definition nan.hpp:67
constexpr auto inf
Computes the infinity ieee value.
Definition inf.hpp:66
constexpr auto minf
Computes the -infinity ieee value.
Definition minf.hpp:66
constexpr auto erf
elementwise_callable object computing the error function: .
Definition erf.hpp:80
Lightweight type-wrapper.
Definition as.hpp:29
Conditional expression ignoring the k last lanes from a eve::simd_value.
Definition conditional.hpp:332
Wrapper for SIMD registers.
Definition wide.hpp:70