E.V.E
v2023.02.15
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◆
lambert
auto eve::lambert =
functor
<lambert_t>
inline
constexpr
Header file
#include <eve/module/special.hpp>
Callable Signatures
namespace
eve
{
// Regular overload
constexpr
auto
lambert
(
floating_value
auto
x) ;
noexcept
;
// 1
// Lanes masking
constexpr
auto
lambert
[
conditional_expr
auto
c](
floating_value
auto
x)
noexcept
;
// 2
constexpr
auto
lambert
[
logical_value
auto
m](
floating_value
auto
x)
noexcept
;
// 2
! }
eve::conditional_expr
Specifies that a type is a Conditional Expression.
Definition
conditional.hpp:28
eve::floating_value
The concept floating_value<T> is satisfied if and only if T satisfies eve::value and the element type...
Definition
value.hpp:116
eve::logical_value
The concept logical_value<T> is satisfied if and only if T satisfies eve::value and the element type ...
Definition
value.hpp:132
eve::lambert
constexpr auto lambert
Computes the inverse of the function .
Definition
lambert.hpp:75
eve
EVE Main Namespace.
Definition
abi.hpp:18
Parameters
x
:
value
.
c
:
Conditional expression
masking the operation.
m
:
Logical value
masking the operation.
Return value
A tuple of the two branch values of the Lambert function is returned with the following considerations:
The branches are not defined for input less than \(e^{-1}\) in that case the values returned are NaN.
If the inputs are positive, only one branch exist and the two returned values are equal.
The operation is performed conditionnaly
.
External references
Wikipedia: Lambert W function
DLMF
Example
// revision 1
#include <eve/module/special.hpp>
#include <iostream>
int
main()
{
eve::wide
wf = {-1.0, -0.367879441171441, 0.0, -0.2, 0.2, -0.0, 3.0, 100.0};
std::cout <<
"-> lambert(wf) = "
<<
eve::lambert
(wf) <<
"\n"
;
}
eve::wide
Wrapper for SIMD registers.
Definition
wide.hpp:70
eve