E.V.E
v2023.02.15
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◆
trigamma
eve::trigamma = functor<trigamma_t>
inline
constexpr
Header file
#include <eve/module/special.hpp>
Callable Signatures
namespace
eve
{
// Regular overload
constexpr
auto
trigamma
(
floating_value
auto
x
)
noexcept
;
// 1
// Lanes masking
constexpr
auto
trigamma
[
conditional_expr
auto
c
](
floating_value
auto
x
)
noexcept
;
// 2
constexpr
auto
trigamma
[
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:134
eve::trigamma
constexpr auto trigamma
elementwise_callable object computing the Trigamma function i.e. the second derivative of the functi...
Definition
trigamma.hpp:70
eve::translate_t
typename decltype(detail::as_translated_type(as< T >{}))::type translate_t
Returns the final translated type of T.
Definition
translation.hpp:107
eve
EVE Main Namespace.
Definition
abi.hpp:19
Parameters
x
:
floating_value
.
c
:
Conditional expression
masking the operation.
m
:
Logical value
masking the operation.
Return value
The value of the Trigamma function: \(\psi(x) = \frac{\Gamma'(x)}{\Gamma(x)}\) is returned.
The operation is performed conditionnaly
.
External references
DLMF: Gamma and Psi Functions
Wolfram MathWorld: Trigamma Function
Example
eve