omega

auto eve::omega = functor<omega_t>

inlineconstexpr

Header file

#include <eve/module/special.hpp>

Callable Signatures

namespace eve
{
   // Regular overload
   constexpr auto omega(floating_value auto x)                          noexcept; // 1
 
   // Lanes masking
   constexpr auto omega[conditional_expr auto c](floating_value auto x) noexcept; // 2
   constexpr auto omega[logical_value auto m](floating_value auto x)    noexcept; // 2
}

Parameters

• x: floating_value.
• c: Conditional expression masking the operation.
• m: Logical value masking the operation.

Return value

1. The value of the Wright \(\omega\) function is returne (the inverse function of \( x \rightarrow \log x+x\)) is returned.
2. The operation is performed conditionnaly.

External references

• Wikipedia: Wright omega function

Example

// revision 1
#include <eve/module/special.hpp>
#include <iostream>
 
int main()
{
  eve::wide wf{-10.0, -2.0, -0.5, 0.0, 0.2, 0.5, 10.0, 100.0};
 
  std::cout << "<- wf = " << wf << "\n";
 
  std::cout << "-> omega(wf)                = " << eve::omega(wf) << "\n";
  std::cout << "-> omega[ignore_last(2)](wf)= " << eve::omega[eve::ignore_last(2)](wf) << "\n";
  std::cout << "-> omega[wf != -2.0f](wf)   = " << eve::omega[wf != -2.0f](wf) << "\n";
}