Batch of complex numbers
-
template<class T, class A>
class batch<std::complex<T>, A> batch of complex values.
Abstract representation of an SIMD register for complex values.
- Template Parameters:
T – the type of the underlying values.
A – the architecture this batch is tied too.
Public Types
-
using batch_bool_type = batch_bool<T, A>
Associated batch type used to represented logical operations on this batch.
Public Functions
-
inline batch() = default
Create a batch initialized with undefined values.
Public Static Attributes
-
static constexpr std::size_t size = real_batch::size
Number of complex elements in this batch.
Friends
-
inline friend batch operator+(batch const &self, batch const &other) noexcept
Shorthand for xsimd::add()
-
inline friend batch operator-(batch const &self, batch const &other) noexcept
Shorthand for xsimd::sub()
-
inline friend batch operator*(batch const &self, batch const &other) noexcept
Shorthand for xsimd::mul()
-
inline friend batch operator/(batch const &self, batch const &other) noexcept
Shorthand for xsimd::div()
Operations specific to batches of complex numbers
-
template<class T, class A>
inline batch<T, A> abs(batch<std::complex<T>, A> const &z) noexcept Computes the absolute values of each complex in the batch
z
.- Parameters:
z – batch of complex values.
- Returns:
the absolute values of
z
.
-
template<class T, class A>
inline real_batch_type_t<batch<T, A>> arg(batch<T, A> const &z) noexcept Computes the argument of the batch
z
.- Parameters:
z – batch of complex or real values.
- Returns:
the argument of
z
.
-
template<class A, class T>
inline complex_batch_type_t<batch<T, A>> conj(batch<T, A> const &z) noexcept Computes the conjugate of the batch
z
.- Parameters:
z – batch of complex values.
- Returns:
the argument of
z
.
-
template<class T, class A>
inline real_batch_type_t<batch<T, A>> imag(batch<T, A> const &x) noexcept Computes the imaginary part of the batch
x
.- Parameters:
x – batch of complex or real values.
- Returns:
the argument of
x
.
-
template<class T, class A>
inline real_batch_type_t<batch<T, A>> norm(batch<T, A> const &x) noexcept Computes the norm of the batch
x
.- Parameters:
x – batch of complex or real values.
- Returns:
the norm of
x
.
XTL complex support
If the preprocessor token XSIMD_ENABLE_XTL_COMPLEX
is defined, xsimd
provides constructors of xsimd::batch< std::complex< T >, A >
from
xtl::xcomplex
, similar to those for std::complex
. This requires xtl
to be installed.