numbers::NumberTraits< number > Struct Template Reference

#include <deal.II/base/numbers.h>

Inheritance diagram for numbers::NumberTraits< number >:

Public Types
using	real_type = number

Static Public Member Functions
static constexpr const number &	conjugate (const number &x)
template<typename Dummy = number>
static constexpr std::enable_if< std::is_same< Dummy, number >::value &&is_cuda_compatible< Dummy >::value, real_type >::type	abs_square (const number &x)
template<typename Dummy = number>
static constexpr std::enable_if< std::is_same< Dummy, number >::value &&!is_cuda_compatible< Dummy >::value, real_type >::type	abs_square (const number &x)
static real_type	abs (const number &x)

Static Public Attributes
static constexpr bool	is_complex = false

Detailed Description

template<typename number>
struct numbers::NumberTraits< number >

A structure that, together with its partial specializations NumberTraits<std::complex<number> >, provides traits and member functions that make it possible to write templates that work on both real number types and complex number types. This template is mostly used to implement linear algebra classes such as vectors and matrices that work for both real and complex numbers.

Author

Wolfgang Bangerth, 2007

Definition at line 422 of file numbers.h.

Member Typedef Documentation

real_type

template<typename number >

using numbers::NumberTraits< number >::real_type = number

For this data type, alias the corresponding real type. Since the general template is selected for all data types that are not specializations of std::complex<T>, the underlying type must be real- values, so the real_type is equal to the underlying type.

Definition at line 437 of file numbers.h.

Member Function Documentation

conjugate()

template<typename number >

constexpr const number & numbers::NumberTraits< number >::conjugate ( const number &  x )

staticconstexpr

Return the complex-conjugate of the given number. Since the general template is selected if number is not a complex data type, this function simply returns the given number.

Note

This function can also be used in CUDA device code.

Definition at line 574 of file numbers.h.

abs_square() [1/2]

template<typename number >

template<typename Dummy >

constexpr std::enable_if< std::is_same< Dummy, number >::value &&!is_cuda_compatible< Dummy >::value, typename NumberTraits< number >::real_type >::type numbers::NumberTraits< number >::abs_square ( const number &  x )

staticconstexpr

Return the square of the absolute value of the given number. Since the general template is chosen for types not equal to std::complex, this function simply returns the square of the given number.

Note

If the template type can be used in CUDA device code, the same holds true for this function.

Definition at line 587 of file numbers.h.

abs_square() [2/2]

template<typename number >

template<typename Dummy = number>

static constexpr std::enable_if<std::is_same<Dummy, number>::value && !is_cuda_compatible<Dummy>::value, real_type>::type numbers::NumberTraits< number >::abs_square ( const number &  x )

staticconstexpr

abs()

template<typename number >

NumberTraits< number >::real_type numbers::NumberTraits< number >::abs ( const number &  x )

static

Return the absolute value of a number.

Definition at line 609 of file numbers.h.

Member Data Documentation

is_complex

template<typename number >

constexpr bool numbers::NumberTraits< number >::is_complex = false

staticconstexpr

A flag that specifies whether the template type given to this class is complex or real. Since the general template is selected for non-complex types, the answer is false.

Definition at line 429 of file numbers.h.

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The documentation for this struct was generated from the following files:

• include/deal.II/base/numbers.h
• source/base/numbers.cc