The Type-Traits Library: Type Checks


The type-traits library is part of C++11 and supports type checks, type comparisons, and type modifications at compile-time. The library has more than 100 functions but grows with each new C++ standard release. Today, I present the type checks.


Type Checks

Each type belongs precisely to one of the fourteen primary type categories.

Primary Type Categories

Here are all of them:

template <class T> struct is_void;
template <class T> struct is_integral;
template <class T> struct is_floating_point;
template <class T> struct is_array;
template <class T> struct is_pointer;
template <class T> struct is_null_pointer;
template <class T> struct is_member_object_pointer;
template <class T> struct is_member_function_pointer;
template <class T> struct is_enum;
template <class T> struct is_union;
template <class T> struct is_class;
template <class T> struct is_function;
template <class T> struct is_lvalue_reference;
template <class T> struct is_rvalue_reference;


The following program gives an example of a type fulfilling the check for each one of these primary type categories.


// primaryTypeCategories.cpp

#include <iostream>
#include <type_traits> struct A { int a; int f(int) { return 2011; } }; enum E { e= 1, }; union U { int u; }; int main() { using namespace std; cout << boolalpha << '\n'; cout << is_void<void>::value << '\n'; // true cout << is_integral<short>::value << '\n'; // true cout << is_floating_point<double>::value << '\n'; // true cout << is_array<int []>::value << '\n'; // true cout << is_pointer<int*>::value << '\n'; // true cout << is_null_pointer<nullptr_t>::value << '\n'; // true cout << is_member_object_pointer<int A::*>::value << '\n'; // true cout << is_member_function_pointer<int (A::*)(int)>::value << '\n'; // true cout << is_enum<E>::value << '\n'; // true cout << is_union<U>::value << '\n'; // true cout << is_class<string>::value << '\n'; // true cout << is_function<int * (double)>::value << '\n'; // true cout << is_lvalue_reference<int&>::value << '\n'; // true cout << is_rvalue_reference<int&&>::value << '\n'; // true }


How Does this Magic Work?

This technique is based on templates and template specialization, a few conventions, and a lot of typing. I wrote a simplified version of the function template std::integral. std::integral check if a given type is an integral type. I ignore const or volatile qualifiers.

// integral.cpp

#include <iostream>
#include <type_traits>

namespace rgr{

  template<class T, T v>
  struct integral_constant {
      static constexpr T value = v;
      typedef T value_type;
      typedef integral_constant type;
      constexpr operator value_type() const noexcept { return value; }
      constexpr value_type operator()() const noexcept { return value; } //since c++14

  typedef integral_constant<bool, true> true_type;                       // (2)
  typedef integral_constant<bool, false> false_type;

  template <class T>
  struct is_integral : public false_type{};

  template <>
  struct is_integral<bool> : public true_type{};

  template <>
  struct is_integral<char> : public true_type{};

  template <>
  struct is_integral<signed char> : public true_type{};

  template <>
  struct is_integral<unsigned char> : public true_type{};

  template <>
  struct is_integral<wchar_t> : public true_type{};

  template <>
  struct is_integral<short> : public true_type{};

  template <>
  struct is_integral<int> : public true_type{};                              // (3)

  template <>
  struct is_integral<long> : public true_type{};

  template <>
  struct is_integral<long long> : public true_type{};

  template <>
  struct is_integral<unsigned short> : public true_type{};

  template <>
  struct is_integral<unsigned int> : public true_type{};

  template <>
  struct is_integral<unsigned long> : public true_type{};

  template <>
  struct is_integral<unsigned long long> : public true_type{};

int main(){
  std::cout << std::boolalpha << '\n';
  std::cout << "std::is_integral<int>::value: " << std::is_integral<int>::value << '\n';
  std::cout << "rgr::is_integral<int>::value: " << rgr::is_integral<int>::value << '\n';    // (1)
  std::cout << "std::is_integral<double>::value: " << std::is_integral<double>::value << '\n';
  std::cout << "rgr::is_integral<double>::value: " << rgr::is_integral<double>::value << '\n';
  std::cout << '\n';
  std::cout << "std::true_type::value: " << std::true_type::value << '\n';
  std::cout << "rgr::true_type::value: " << rgr::true_type::value << '\n';
  std::cout << "std::false_type::value: " << std::false_type::value << '\n';
  std::cout << "rgr::false_type::value: " << rgr::false_type::value << '\n';
  std::cout << '\n';
  std::cout << "std::integral_constant<bool, true>::value: " << std::integral_constant<bool, true>::value << '\n';
  std::cout << "rgr::integral_constant<bool, true>::value: " << rgr::integral_constant<bool, true>::value << '\n';
  std::cout << "std::integral_constant<bool, false>::value: " << std::integral_constant<bool, false>::value << '\n';
  std::cout << "rgr::integral_constant<bool, false>::value: " << rgr::integral_constant<bool, false>::value << '\n';  
  std::cout << '\n';


I use in my implementation the namespace rgr and compare it with type-traits functions in the namespace std. The invocation of the function template rgr::is_integral<int>::value (1) causes the invocation of the expression rgr::true_type::value (2), because integral<int> is derived from true_type (3). rgr::true_type::value is an alias for rgr::integral_constant<bool, true>::value (2). I use in the example the static constexpr value of the class integral_constant. integral_constant is the base class of the type-traits functions.

For completeness, here is the output of the program. My implementation gives the same results, such as functions from the type-traits library.


I use in my function templates rgr::is_integral ::value as return. You maybe remember this convention from my previous post "Template Metaprogramming - How it works"? Right!  My function templates rgr::is_integral are metafunctions and they use the naming conventions of template metaprogramming. Since C++17 there is for conventions a helper class for ::value. This helper class is based on variable templates.

template< class T >
inline constexpr bool is_integral_v = is_integral<T>::value


Variable templates is essentially a family of variables. Due to this helper class, you can write std::integral_v<T> instead of std::integral<T>::value.  This shortened notation works for all functions templates of the type traits library.

Composite type categories are then assembled from those primary type categories.

Composite Type Categories

There are seven composite type categories. The following table shows them.


Additionally, to the primary type categories and the composite type categories, the type traits library provides type properties and type property queries. For completeness, here are they.

Type Properties

template <class T> struct is_const;
template <class T> struct is_volatile;
template <class T> struct is_trivial;
template <class T> struct is_trivially_copyable;
template <class T> struct is_standard_layout;
template <class T> struct is_empty;
template <class T> struct is_polymorphic;
template <class T> struct is_abstract;
template <class T> struct is_final;
template <class T> struct is_aggregate;
template <class T> struct is_signed;
template <class T> struct is_unsigned;
template <class T> struct is_bounded_array;
template <class T> struct is_unbounded_array;
template <class T> struct is_scoped_enum;
template <class T, class... Args> struct is_constructible;
template <class T> struct is_default_constructible;
template <class T> struct is_copy_constructible;
template <class T> struct is_move_constructible;
template <class T, class U> struct is_assignable;
template <class T> struct is_copy_assignable;
template <class T> struct is_move_assignable;
template <class T, class U> struct is_swappable_with;
template <class T> struct is_swappable;
template <class T> struct is_destructible;
template <class T, class... Args> struct is_trivially_constructible;
template <class T> struct is_trivially_default_constructible;
template <class T> struct is_trivially_copy_constructible;
template <class T> struct is_trivially_move_constructible;
template <class T, class U> struct is_trivially_assignable;
template <class T> struct is_trivially_copy_assignable;
template <class T> struct is_trivially_move_assignable;
template <class T> struct is_trivially_destructible;
template <class T, class... Args> struct is_nothrow_constructible;
template <class T> struct is_nothrow_default_constructible;
template <class T> struct is_nothrow_copy_constructible;
template <class T> struct is_nothrow_move_constructible;
template <class T, class U> struct is_nothrow_assignable;
template <class T> struct is_nothrow_copy_assignable;
template <class T> struct is_nothrow_move_assignable;
template <class T, class U> struct is_nothrow_swappable_with;
template <class T> struct is_nothrow_swappable;
template <class T> struct is_nothrow_destructible;
template <class T> struct has_virtual_destructor;
template <class T> struct has_unique_object_representations;


Many of the meta-functions like std::is_trivially_copyable have trivially in their name. That means that the compiler provides this method. Requesting a method from the compiler with the keyword default is also trivial.

Type Property Queries

template <class T> struct alignment_of;
template <class T> struct rank;
template <class T, unsigned I = 0> struct extent;


What's next?

Did you notice the function std::is_same in the composite type category std::is_fundamental? std::is_same is special because it provides type comparisons at compile time? I will write about type comparison at compile time in my next post.


Thanks a lot to my Patreon Supporters: Matt Braun, Roman Postanciuc, Tobias Zindl, Marko, G Prvulovic, Reinhold Dröge, Abernitzke, Frank Grimm, Sakib, Broeserl, António Pina, Sergey Agafyin, Андрей Бурмистров, Jake, GS, Lawton Shoemake, Animus24, Jozo Leko, John Breland, Louis St-Amour, Venkat Nandam, Jose Francisco, Douglas Tinkham, Kuchlong Kuchlong, Robert Blanch, Truels Wissneth, Kris Kafka, Mario Luoni, Neil Wang, Friedrich Huber, lennonli, Pramod Tikare Muralidhara, Peter Ware, Daniel Hufschläger, Alessandro Pezzato, Evangelos Denaxas, Bob Perry, Satish Vangipuram, Andi Ireland, Richard Ohnemus, Michael Dunsky, Leo Goodstadt, Eduardo Velasquez, John Wiederhirn, Yacob Cohen-Arazi, Florian Tischler, Robin Furness, Michael Young, Holger Detering, Bernd Mühlhaus, Matthieu Bolt, Stephen Kelley, Kyle Dean, Tusar Palauri, Dmitry Farberov, Ralf Holly, Juan Dent, George Liao, and Daniel Ceperley.


Thanks in particular to Jon Hess, Lakshman, Christian Wittenhorst, Sherhy Pyton, Dendi Suhubdy, Sudhakar Belagurusamy, Richard Sargeant, Rusty Fleming, Ralf Abramowitsch, John Nebel, and Mipko.



My special thanks to Embarcadero CBUIDER STUDIO FINAL ICONS 1024 Small


My special thanks to PVS-Studio PVC Logo


Mentoring Program

My new mentoring program "Fundamentals for C++ Professionals" starts on the 22nd of April. Get more information here:


I'm happy to give online seminars or face-to-face seminars worldwide. Please call me if you have any questions.

Bookable (Online)


Standard Seminars (English/German)

Here is a compilation of my standard seminars. These seminars are only meant to give you a first orientation.


Contact Me

Modernes C++,




My Newest E-Books

Course: Modern C++ Concurrency in Practice

Course: C++ Standard Library including C++14 & C++17

Course: Embedded Programming with Modern C++

Course: Generic Programming (Templates)

Course: C++ Fundamentals for Professionals

Interactive Course: The All-in-One Guide to C++20

Subscribe to the newsletter (+ pdf bundle)

Blog archive

Source Code


Today 106

Yesterday 8397

Week 16612

Month 107766

All 9387789

Currently are 146 guests and no members online

Kubik-Rubik Joomla! Extensions

Latest comments