numbers.h File Reference

#include <deal.II/base/config.h>
#include <deal.II/base/types.h>
#include <cuComplex.h>
#include <cmath>
#include <complex>
#include <cstddef>
#include <type_traits>
#include <deal.II/differentiation/ad/adolc_math.h>
#include <adolc/adouble.h>
#include <Sacado.hpp>

Go to the source code of this file.

Classes
struct	internal::VectorizedArrayWidthSpecifier< Number >
struct	internal::VectorizedArrayWidthSpecifier< double >
struct	internal::VectorizedArrayWidthSpecifier< float >
struct	numbers::is_cuda_compatible< Number, typename >
struct	numbers::is_cuda_compatible< std::complex< Number >, void >
struct	numbers::NumberTraits< number >
struct	numbers::NumberTraits< std::complex< number > >
struct	internal::is_explicitly_convertible< From, To >
struct	internal::NumberType< T >
struct	internal::NumberType< std::complex< T > >
struct	internal::NumberType< cuComplex >
struct	internal::NumberType< cuDoubleComplex >

Namespaces
	internal
	numbers
	Differentiation
	Differentiation::AD
	Differentiation::AD::internal

Macros
#define	DEAL_II_CUDA_HOST_DEV   __host__ __device__

Functions
template<typename Number , std::size_t width>
::VectorizedArray< Number, width >	std::sqrt (const ::VectorizedArray< Number, width > &)
template<typename Number , std::size_t width>
::VectorizedArray< Number, width >	std::abs (const ::VectorizedArray< Number, width > &)
template<typename Number , std::size_t width>
::VectorizedArray< Number, width >	std::max (const ::VectorizedArray< Number, width > &, const ::VectorizedArray< Number, width > &)
template<typename Number , std::size_t width>
::VectorizedArray< Number, width >	std::min (const ::VectorizedArray< Number, width > &, const ::VectorizedArray< Number, width > &)
template<typename Number , size_t width>
::VectorizedArray< Number, width >	std::pow (const ::VectorizedArray< Number, width > &, const Number p)
template<typename Number , size_t width>
::VectorizedArray< Number, width >	std::sin (const ::VectorizedArray< Number, width > &)
template<typename Number , size_t width>
::VectorizedArray< Number, width >	std::cos (const ::VectorizedArray< Number, width > &)
template<typename Number , size_t width>
::VectorizedArray< Number, width >	std::tan (const ::VectorizedArray< Number, width > &)
template<typename Number , size_t width>
::VectorizedArray< Number, width >	std::exp (const ::VectorizedArray< Number, width > &)
template<typename Number , size_t width>
::VectorizedArray< Number, width >	std::log (const ::VectorizedArray< Number, width > &)
bool	numbers::is_finite (const double x)
bool	numbers::is_finite (const std::complex< double > &x)
bool	numbers::is_finite (const std::complex< float > &x)
bool	numbers::is_finite (const std::complex< long double > &x)
template<typename Number1 , typename Number2 >
constexpr bool	numbers::values_are_equal (const Number1 &value_1, const Number2 &value_2)
template<typename Number1 , typename Number2 >
bool	numbers::values_are_not_equal (const Number1 &value_1, const Number2 &value_2)
template<typename Number >
constexpr bool	numbers::value_is_zero (const Number &value)
template<typename Number1 , typename Number2 >
bool	numbers::value_is_less_than (const Number1 &value_1, const Number2 &value_2)
template<typename Number1 , typename Number2 >
bool	numbers::value_is_less_than_or_equal_to (const Number1 &value_1, const Number2 &value_2)
template<typename Number1 , typename Number2 >
bool	numbers::value_is_greater_than (const Number1 &value_1, const Number2 &value_2)
template<typename Number1 , typename Number2 >
bool	numbers::value_is_greater_than_or_equal_to (const Number1 &value_1, const Number2 &value_2)
bool	numbers::is_nan (const double x)
bool	numbers::values_are_equal (const adouble &value_1, const adouble &value_2)
template<typename Number >
bool	numbers::values_are_equal (const adouble &value_1, const Number &value_2)
template<typename Number >
bool	numbers::values_are_equal (const Number &value_1, const adouble &value_2)
bool	numbers::value_is_less_than (const adouble &value_1, const adouble &value_2)
template<typename Number >
bool	numbers::value_is_less_than (const adouble &value_1, const Number &value_2)
template<typename Number >
bool	numbers::value_is_less_than (const Number &value_1, const adouble &value_2)

Variables
static constexpr double	numbers::E = 2.7182818284590452354
static constexpr double	numbers::LOG2E = 1.4426950408889634074
static constexpr double	numbers::LOG10E = 0.43429448190325182765
static constexpr double	numbers::LN2 = 0.69314718055994530942
static constexpr double	numbers::LN10 = 2.30258509299404568402
static constexpr double	numbers::PI = 3.14159265358979323846
static constexpr double	numbers::PI_2 = 1.57079632679489661923
static constexpr double	numbers::PI_4 = 0.78539816339744830962
static constexpr double	numbers::SQRT2 = 1.41421356237309504880
static constexpr double	numbers::SQRT1_2 = 0.70710678118654752440

Macro Definition Documentation

DEAL_II_CUDA_HOST_DEV

#define DEAL_II_CUDA_HOST_DEV   __host__ __device__

Definition at line 34 of file numbers.h.

Function Documentation

sqrt()

template<typename Number , std::size_t width>

::VectorizedArray<Number, width> std::sqrt

(

const ::VectorizedArray< Number, width > &

x

)

Compute the square root of a vectorized data field. The result is returned as vectorized array in the form {sqrt(x[0]), sqrt(x[1]), ..., sqrt(x[size()-1])}.

Definition at line 5412 of file vectorization.h.

abs()

template<typename Number , std::size_t width>

::VectorizedArray<Number, width> std::abs

(

const ::VectorizedArray< Number, width > &

x

)

Compute the absolute value (modulus) of a vectorized data field. The result is returned as vectorized array in the form {abs(x[0]), abs(x[1]), ..., abs(x[size()-1])}.

Definition at line 5450 of file vectorization.h.

max()

template<typename Number , std::size_t width>

::VectorizedArray<Number, width> std::max	(	const ::VectorizedArray< Number, width > &	x,
		const ::VectorizedArray< Number, width > &	y
	)

Compute the componentwise maximum of two vectorized data fields. The result is returned as vectorized array in the form {max(x[0],y[0]), max(x[1],y[1]), ...}.

Definition at line 5466 of file vectorization.h.

min()

template<typename Number , std::size_t width>

::VectorizedArray<Number, width> std::min	(	const ::VectorizedArray< Number, width > &	x,
		const ::VectorizedArray< Number, width > &	y
	)

Compute the componentwise minimum of two vectorized data fields. The result is returned as vectorized array in the form {min(x[0],y[0]), min(x[1],y[1]), ...}.

Definition at line 5483 of file vectorization.h.

pow()

template<typename Number , size_t width>

::VectorizedArray<Number, width> std::pow	(	const ::VectorizedArray< Number, width > &	x,
		const Number	p
	)

Raises the given number x to the power p for a vectorized data field. The result is returned as vectorized array in the form {pow(x[0],p), pow(x[1],p), ..., pow(x[size()-1],p)}.

Definition at line 5428 of file vectorization.h.

sin()

template<typename Number , size_t width>

::VectorizedArray<Number, width> std::sin

(

const ::VectorizedArray< Number, width > &

x

)

Compute the sine of a vectorized data field. The result is returned as vectorized array in the form {sin(x[0]), sin(x[1]), ..., sin(x[VectorizedArray::size()-1])}.

Definition at line 5297 of file vectorization.h.

cos()

template<typename Number , size_t width>

::VectorizedArray<Number, width> std::cos

(

const ::VectorizedArray< Number, width > &

x

)

Compute the cosine of a vectorized data field. The result is returned as vectorized array in the form {cos(x[0]), cos(x[1]), ..., cos(x[size()-1])}.

Definition at line 5324 of file vectorization.h.

tan()

template<typename Number , size_t width>

::VectorizedArray<Number, width> std::tan

(

const ::VectorizedArray< Number, width > &

x

)

Compute the tangent of a vectorized data field. The result is returned as vectorized array in the form {tan(x[0]), tan(x[1]), ..., tan(x[size()-1])}.

Definition at line 5346 of file vectorization.h.

exp()

template<typename Number , size_t width>

::VectorizedArray<Number, width> std::exp

(

const ::VectorizedArray< Number, width > &

x

)

Compute the exponential of a vectorized data field. The result is returned as vectorized array in the form {exp(x[0]), exp(x[1]), ..., exp(x[size()-1])}.

Definition at line 5368 of file vectorization.h.

log()

template<typename Number , size_t width>

::VectorizedArray<Number, width> std::log

(

const ::VectorizedArray< Number, width > &

x

)

Compute the natural logarithm of a vectorized data field. The result is returned as vectorized array in the form {log(x[0]), log(x[1]), ..., log(x[size()-1])}.

Definition at line 5390 of file vectorization.h.