E.V.E
v2023.02.15
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◆
agd
eve::agd =
functor
<agd_t>
inline
constexpr
Header file
#include <eve/module/math.hpp>
Callable Signatures
namespace
eve
{
// Regular overload
constexpr
auto
agd
(
floating_value
auto
x)
noexcept
;
// 1
// Lanes masking
constexpr
auto
agd
[
conditional_expr
auto
c](
floating_value
auto
x)
noexcept
;
// 2
constexpr
auto
agd
[
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::agd
constexpr auto agd
elementwise_callable object computing the inverse gudermannian, i.e. .
Definition:
agd.hpp:78
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
Returns the
elementwise
inverse
gudermannian
of the input. In particular:
If the element is \(\pm0\), \(0\) is returned.
If the element is \(\pm\pi/2\), \(\infty\) is returned.
If the element is not in \([-\pi/2, \pi/2] \),
NaN
is returned.
The operation is performed conditionnaly
.
External references
Wolfram MathWorld: Inverse Gudermannian
Wikipedia: Gudermannian function
DLMF: gudermannian functions
Example
// revision 1
#include <eve/module/math.hpp>
#include <iostream>
int
main()
{
eve::wide
wf = {1.0f, 0.0f,
eve::pio_2
(
eve::as<float>
()),
eve::pio_4
(
eve::as<float>
())};
std::cout <<
"<- wf = "
<< wf <<
"\n"
;
std::cout <<
"-> agd(wf) = "
<<
eve::agd
(wf) <<
"\n"
;
std::cout <<
"-> agd[ignore_last(2)](wf)= "
<<
eve::agd
[
eve::ignore_last
(2)](wf) <<
"\n"
;
std::cout <<
"-> agd[wf != -2.0f](wf) = "
<<
eve::agd
[wf != -2.0f](wf) <<
"\n"
;
}
eve::pio_4
constexpr auto pio_4
Callable object computing the constant .
Definition:
pio_4.hpp:77
eve::pio_2
constexpr auto pio_2
Callable object computing the constant .
Definition:
pio_2.hpp:77
eve::as
Lightweight type-wrapper.
Definition:
as.hpp:29
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