omega

kyosu::omega = eve::functor<omega_t>

inlineconstexpr

Computes the Wright \(\omega\) the inverse function of \( x \rightarrow \log x+x\).

Header file

#include <eve/module/special.hpp>

Callable Signatures

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

Parameters

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

Return value

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

ω can be used as an alias.

External references

• Wikipedia: Wright omega function

Example