E.V.E
v2023.02.15
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◆
asec
eve::asec =
functor
<asec_t>
inline
constexpr
Header file
#include <eve/module/math.hpp>
Callable Signatures
namespace
eve
{
// Regular overloads
constexpr
auto
asec
(
floating_value
auto
x)
noexcept
;
// 1
// Semantic option
constexpr
auto
asec
[raw](
floating_value
auto
x)
noexcept
;
// 2
// Lanes masking
constexpr
auto
asec
[
conditional_expr
auto
c](
floating_value
auto
x)
noexcept
;
// 3
constexpr
auto
asec
[
logical_value
auto
m](
floating_value
auto
x)
noexcept
;
// 3
}
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::asec
constexpr auto asec
elementwise_callable object computing the arc secant.
Definition:
asec.hpp:81
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
arc cosine of the input in the range \([0 , \pi]\). In particular:
If the element is \(1\), \(+0\) is returned.
If the element is \(0\), \(\pi\) is returned.
If the element \(|x| < 1\),
NaN
is returned.
If the element is a
Nan
,
NaN
is returned.
Same as 1 but uses a faster implementation which can be slightly less accurate near 'x = 1'
The operation is performed conditionnaly
.
External references
Wolfram MathWorld: Inverse Secant
Wikipedia: Inverse trigonometric functions
DLMF: Inverse trigonometric functions
Example
// revision 1
#include <eve/module/math.hpp>
#include <iostream>
#include <iomanip>
int
main()
{
eve::wide
wf = { 5.0f, 2.0f, -1.0f, -2.0f, -5.0f, 1.001f, -1.0f, 0.0f};
std::cout <<
"<- wf = "
<< wf <<
"\n"
;
std::cout << std::setprecision(10);
std::cout <<
"-> asec(wf) = "
<<
eve::asec
(wf) <<
"\n"
;
std::cout <<
"-> asec[raw](wf) = "
<<
eve::asec
[eve::raw](wf) <<
"\n"
;
std::cout <<
"-> asec[ignore_last(2)](wf)= "
<<
eve::asec
[
eve::ignore_last
(2)](wf) <<
"\n"
;
std::cout <<
"-> asec[wf != 2.0f](wf) = "
<<
eve::asec
[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