E.V.E
v2023.02.15
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◆
zeta
eve::zeta =
functor
<zeta_t>
inline
constexpr
Header file
#include <eve/module/special.hpp>
Callable Signatures
namespace
eve
{
// Regular overload
constexpr
auto
zeta
(
floating_value
auto
x)
noexcept
;
// 1
// Lanes masking
constexpr
auto
zeta
[
conditional_expr
auto
c](
floating_value
auto
x)
noexcept
;
// 2
constexpr
auto
zeta
[
logical_value
auto
m](
floating_value
auto
x)
noexcept
;
// 2
}
eve::conditional_expr
Specifies that a type is a Conditional Expression.
Definition:
conditional.hpp:27
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:95
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:107
eve::zeta
constexpr auto zeta
Computes the Riemann function.
Definition:
zeta.hpp:73
eve
EVE Main Namespace.
Definition:
abi.hpp:18
Parameters
x
: floating value.
c
: Conditional expression masking the operation.
m
: Logical value masking the operation.
Return value
The value of the Riemann function defined as \(\displaystyle \zeta(s)=\sum_{n=0}^\infty \frac1{n^s}\) for \(s > 1\) and using analytic continuation elsewhere, is returned.
The operation is performed conditionnaly
.
External references
Wikipedia: Riemann zeta function
Wolfram MathWorld: Riemann Zeta Function
Example
// revision 1
#include <eve/module/special.hpp>
#include <iostream>
int
main()
{
eve::wide<float>
wf([](
auto
i,
auto
c)->
float
{
return
2*(i-c/2);});
std::cout <<
"<- wf = "
<< wf <<
"\n"
;
std::cout <<
"-> zeta(wf) = "
<<
eve::zeta
(wf) <<
"\n"
;
std::cout <<
"-> zeta[ignore_last(2)](wf)= "
<<
eve::zeta
[
eve::ignore_last
(2)](wf) <<
"\n"
;
std::cout <<
"-> zeta[wf != -2.0f](wf) = "
<<
eve::zeta
[wf != -2.0f](wf) <<
"\n"
;
}
eve::ignore_last
Conditional expression ignoring the k last lanes from a eve::simd_value.
Definition:
conditional.hpp:304
eve::wide
Wrapper for SIMD registers.
Definition:
wide.hpp:71
eve