Standard library header <concepts> (C++20)

From cppreference.com

This header is part of the concepts library.

Concepts
Core language concepts
same_as (C++20)	specifies that a type is the same as another type (concept)
derived_from (C++20)	specifies that a type is derived from another type (concept)
convertible_to (C++20)	specifies that a type is implicitly convertible to another type (concept)
common_reference_with (C++20)	specifies that two types share a common reference type (concept)
common_with (C++20)	specifies that two types share a common type (concept)
integral (C++20)	specifies that a type is an integral type (concept)
signed_integral (C++20)	specifies that a type is an integral type that is signed (concept)
unsigned_integral (C++20)	specifies that a type is an integral type that is unsigned (concept)
floating_point (C++20)	specifies that a type is a floating-point type (concept)
assignable_from (C++20)	specifies that a type is assignable from another type (concept)
swappable swappable_with (C++20)	specifies that a type can be swapped or that two types can be swapped with each other (concept)
destructible (C++20)	specifies that an object of the type can be destroyed (concept)
constructible_from (C++20)	specifies that a variable of the type can be constructed from or bound to a set of argument types (concept)
default_initializable (C++20)	specifies that an object of a type can be default constructed (concept)
move_constructible (C++20)	specifies that an object of a type can be move constructed (concept)
copy_constructible (C++20)	specifies that an object of a type can be copy constructed and move constructed (concept)
Comparison concepts
equality_comparable equality_comparable_with (C++20)	specifies that operator == is an equivalence relation (concept)
totally_ordered totally_ordered_with (C++20)	specifies that the comparison operators on the type yield a total order (concept)
Object concepts
movable (C++20)	specifies that an object of a type can be moved and swapped (concept)
copyable (C++20)	specifies that an object of a type can be copied, moved, and swapped (concept)
semiregular (C++20)	specifies that an object of a type can be copied, moved, swapped, and default constructed (concept)
regular (C++20)	specifies that a type is regular, that is, it is both `semiregular` and `equality_comparable` (concept)
Callable concepts
invocable regular_invocable (C++20)	specifies that a callable type can be invoked with a given set of argument types (concept)
predicate (C++20)	specifies that a callable type is a Boolean predicate (concept)
relation (C++20)	specifies that a callable type is a binary relation (concept)
equivalence_relation (C++20)	specifies that a `relation` imposes an equivalence relation (concept)
strict_weak_order (C++20)	specifies that a `relation` imposes a strict weak ordering (concept)
Customization point objects
ranges::swap (C++20)	swaps the values of two objects (customization point object)

Synopsis

// all freestanding
namespace std {
  // language-related concepts
  // concept same_as
  template<class T, class U>
  concept same_as = /* see description */;
 
  // concept derived_from
  template<class Derived, class Base>
  concept derived_from = /* see description */;
 
  // concept convertible_to
  template<class From, class To>
  concept convertible_to = /* see description */;
 
  // concept common_reference_with
  template<class T, class U>
  concept common_reference_with = /* see description */;
 
  // concept common_with
  template<class T, class U>
  concept common_with = /* see description */;
 
  // arithmetic concepts
  template<class T>
  concept integral = /* see description */;
  template<class T>
  concept signed_integral = /* see description */;
  template<class T>
  concept unsigned_integral = /* see description */;
  template<class T>
  concept floating_point = /* see description */;
 
  // concept assignable_from
  template<class LHS, class RHS>
  concept assignable_from = /* see description */;
 
  // concept swappable
  namespace ranges {
    inline namespace /* unspecified */ {
      inline constexpr /* unspecified */ swap = /* unspecified */;
    }
  }
  template<class T>
  concept swappable = /* see description */;
  template<class T, class U>
  concept swappable_with = /* see description */;
 
  // concept destructible
  template<class T>
  concept destructible = /* see description */;
 
  // concept constructible_from
  template<class T, class... Args>
  concept constructible_from = /* see description */;
 
  // concept default_initializable
  template<class T>
  concept default_initializable = /* see description */;
 
  // concept move_constructible
  template<class T>
  concept move_constructible = /* see description */;
 
  // concept copy_constructible
  template<class T>
  concept copy_constructible = /* see description */;
 
  // comparison concepts
  // concept equality_comparable
  template<class T>
  concept equality_comparable = /* see description */;
  template<class T, class U>
  concept equality_comparable_with = /* see description */;
 
  // concept totally_ordered
  template<class T>
  concept totally_ordered = /* see description */;
  template<class T, class U>
  concept totally_ordered_with = /* see description */;
 
  // object concepts
  template<class T>
  concept movable = /* see description */;
  template<class T>
  concept copyable = /* see description */;
  template<class T>
  concept semiregular = /* see description */;
  template<class T>
  concept regular = /* see description */;
 
  // callable concepts
  // concept invocable
  template<class F, class... Args>
  concept invocable = /* see description */;
 
  // concept regular_invocable
  template<class F, class... Args>
  concept regular_invocable = /* see description */;
 
  // concept predicate
  template<class F, class... Args>
  concept predicate = /* see description */;
 
  // concept relation
  template<class R, class T, class U>
  concept relation = /* see description */;
 
  // concept equivalence_relation
  template<class R, class T, class U>
  concept equivalence_relation = /* see description */;
 
  // concept strict_weak_order
  template<class R, class T, class U>
  concept strict_weak_order = /* see description */;
}

Helper concept `boolean-testable`

template<class T>
concept /*boolean-testable-impl*/ = convertible_to<T, bool>; // exposition only;
 
template<class T>
concept boolean-testable = // exposition only
  /*boolean-testable-impl*/<T> && requires(T&& t) {
    {
      !std::forward<T>(t)
    } -> /*boolean-testable-impl*/;
  };

Concept `same_as`

template<class T, class U>
concept /*same-as-impl*/ = is_same_v<T, U>; // exposition only
 
template<class T, class U>
concept same_as = /*same-as-impl*/<T, U> && /*same-as-impl*/<U, T>;

Concept `derived_from`

template<class Derived, class Base>
concept derived_from = is_base_of_v<Base, Derived> &&
                       is_convertible_v<const volatile Derived*, const volatile Base*>;

Concept `convertible_to`

template<class From, class To>
concept convertible_to =
  is_convertible_v<From, To> && requires { static_cast<To>(declval<From>()); };

Concept `common_reference_with`

template<class T, class U>
concept common_reference_with =
  same_as<common_reference_t<T, U>, common_reference_t<U, T>> &&
  convertible_to<T, common_reference_t<T, U>> &&
  convertible_to<U, common_reference_t<T, U>>;

Concept `common_with`

template<class T, class U>
concept common_with =
  same_as<common_type_t<T, U>, common_type_t<U, T>> &&
  requires {
    static_cast<common_type_t<T, U>>(declval<T>());
    static_cast<common_type_t<T, U>>(declval<U>());
  } &&
  common_reference_with<add_lvalue_reference_t<const T>,
                        add_lvalue_reference_t<const U>> &&
  common_reference_with<
    add_lvalue_reference_t<common_type_t<T, U>>,
    common_reference_t<add_lvalue_reference_t<const T>, add_lvalue_reference_t<const U>>>;

Concept `integral`

template<class T>
concept integral = is_integral_v<T>;

Concept `signed_integral`

template<class T>
concept signed_integral = integral<T> && is_signed_v<T>;

Concept `unsigned_integral`

template<class T>
concept unsigned_integral = integral<T> && !signed_integral<T>;

Concept `floating_point`

template<class T>
concept floating_point = is_floating_point_v<T>;

Concept `assignable_from`

template<class LHS, class RHS>
concept assignable_from =
  is_lvalue_reference_v<LHS> &&
  common_reference_with<const remove_reference_t<LHS>&, const remove_reference_t<RHS>&> &&
  requires(LHS lhs, RHS&& rhs) {
    {
      lhs = std::forward<RHS>(rhs)
    } -> same_as<LHS>;
  };

Concept `swappable`

template<class T>
concept swappable = requires(T& a, T& b) { ranges::swap(a, b); };

Concept `swappable_with`

template<class T, class U>
concept swappable_with = common_reference_with<T, U> && requires(T&& t, U&& u) {
  ranges::swap(std::forward<T>(t), std::forward<T>(t));
  ranges::swap(std::forward<U>(u), std::forward<U>(u));
  ranges::swap(std::forward<T>(t), std::forward<U>(u));
  ranges::swap(std::forward<U>(u), std::forward<T>(t));
};

Concept `destructible`

template<class T>
concept destructible = is_nothrow_destructible_v<T>;

Concept `constructible_from`

template<class T, class... Args>
concept constructible_from = destructible<T> && is_constructible_v<T, Args...>;

Concept `default_initializable`

template<class T>
constexpr bool /*is-default-initializable*/ = /* see description */; // exposition only
 
template<class T>
concept default_initializable =
  constructible_from<T> && requires { T{}; } && /*is-default-initializable*/<T>;

Concept `move_constructible`

template<class T>
concept move_constructible = constructible_from<T, T> && convertible_to<T, T>;

Concept `copy_constructible`

template<class T>
concept copy_constructible =
  move_constructible<T> && constructible_from<T, T&> && convertible_to<T&, T> &&
  constructible_from<T, const T&> && convertible_to<const T&, T> &&
  constructible_from<T, const T> && convertible_to<const T, T>;

Concept `equality_comparable`

template<class T, class U>
concept /*weakly-equality-comparable-with*/ = // exposition only
  requires(const remove_reference_t<T>& t, const remove_reference_t<U>& u) {
    { t == u } -> boolean-testable;
    { t != u } -> boolean-testable;
    { u == t } -> boolean-testable;
    { u != t } -> boolean-testable;
  };
 
template<class T>
concept equality_comparable = /*weakly-equality-comparable-with*/<T, T>;

Concept `equality_comparable_with`

template<class T, class U, class C = common_reference_t<const T&, const U&>>
concept /*comparison-common-type-with-impl*/ = // exposition only
  same_as<common_reference_t<const T&, const U&>,
          common_reference_t<const U&, const T&>> &&
  requires {
    requires convertible_to<const T&, const C&> || convertible_to<T, const C&>;
    requires convertible_to<const U&, const C&> || convertible_to<U, const C&>;
  };
 
template<class T, class U>
concept /*comparison-common-type-with*/ = // exposition only
  /*comparison-common-type-with-impl*/<remove_cvref_t<T>, remove_cvref_t<U>>;
 
template<class T, class U>
concept equality_comparable_with =
  equality_comparable<T> && equality_comparable<U> &&
  /*comparison-common-type-with*/<T, U> &&
  equality_comparable<
    common_reference_t<const remove_reference_t<T>&, const remove_reference_t<U>&>> &&
  /*weakly-equality-comparable-with*/<T, U>;

Helper concept `partially-ordered-with`

Defined in header <compare>

template<class T, class U>
concept /*partially-ordered-with*/ = // exposition only
  requires(const remove_reference_t<T>& t, const remove_reference_t<U>& u) {
    { t <  u } -> boolean-testable;
    { t >  u } -> boolean-testable;
    { t <= u } -> boolean-testable;
    { t >= u } -> boolean-testable;
    { u <  t } -> boolean-testable;
    { u >  t } -> boolean-testable;
    { u <= t } -> boolean-testable;
    { u >= t } -> boolean-testable;
  };

Concept `totally_ordered`

template<class T>
concept totally_ordered = equality_comparable<T> && /*partially-ordered-with*/<T, T>;

Concept `totally_ordered_with`

template<class T, class U>
concept totally_ordered_with =
  totally_ordered<T> && totally_ordered<U> && equality_comparable_with<T, U> &&
  totally_ordered<
    common_reference_t<const remove_reference_t<T>&, const remove_reference_t<U>&>> &&
  /*partially-ordered-with*/<T, U>;

Concept `movable`

template<class T>
concept movable =
  is_object_v<T> && move_constructible<T> && assignable_from<T&, T> && swappable<T>;

Concept `copyable`

template<class T>
concept copyable = copy_constructible<T> && movable<T> && assignable_from<T&, T&> &&
                   assignable_from<T&, const T&> && assignable_from<T&, const T>;

Concept `semiregular`

template<class T>
concept semiregular = copyable<T> && default_initializable<T>;

Concept `regular`

template<class T>
concept regular = semiregular<T> && equality_comparable<T>;

Concept `invocable`

template<class F, class... Args>
concept invocable = requires(F&& f, Args&&... args) {
  invoke(std::forward<F>(f),
         std::forward<Args>(args)...); // not required to be equality-preserving
};

Concept `regular_invocable`

template<class F, class... Args>
  concept regular_invocable = invocable<F, Args...>;

Concept `predicate`

template<class F, class... Args>
concept predicate =
  regular_invocable<F, Args...> && boolean-testable<invoke_result_t<F, Args...>>;

Concept `relation`

template<class R, class T, class U>
concept relation =
  predicate<R, T, T> && predicate<R, U, U> && predicate<R, T, U> && predicate<R, U, T>;

Concept `equivalence_relation`

template<class R, class T, class U>
concept equivalence_relation = relation<R, T, U>;

Concept `strict_weak_order`

template<class R, class T, class U>
concept strict_weak_order = relation<R, T, U>;

Retrieved from " https://en.cppreference.com/mwiki/index.php?title=cpp/header/concepts&oldid=163949 "

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Language
Standard library
Standard library headers
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Feature test macros (C++20)
Language support library
Concepts library (C++20)
Metaprogramming library (C++11)
Diagnostics library
General utilities library
Strings library
Containers library
Iterators library
Ranges library (C++20)
Algorithms library
Numerics library
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Filesystem library (C++17)
Regular expressions library (C++11)
Concurrency support library (C++11)
Execution support library (C++26)
Technical specifications
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External libraries

Standard library header <concepts> (C++20)

Concepts

Core language concepts

Comparison concepts

Object concepts

Callable concepts

Customization point objects

Synopsis

Helper concept boolean-testable

Concept same_as

Concept derived_from

Concept convertible_to

Concept common_reference_with

Concept common_with

Concept integral

Concept signed_integral

Concept unsigned_integral

Concept floating_point

Concept assignable_from

Concept swappable

Concept swappable_with

Concept destructible

Concept constructible_from

Concept default_initializable

Concept move_constructible

Concept copy_constructible

Concept equality_comparable

Concept equality_comparable_with

Helper concept partially-ordered-with

Concept totally_ordered

Concept totally_ordered_with

Concept movable

Concept copyable

Concept semiregular

Concept regular

Concept invocable

Concept regular_invocable

Concept predicate

Concept relation

Concept equivalence_relation

Concept strict_weak_order

Navigation

Helper concept `boolean-testable`

Concept `same_as`

Concept `derived_from`

Concept `convertible_to`

Concept `common_reference_with`

Concept `common_with`

Concept `integral`

Concept `signed_integral`

Concept `unsigned_integral`

Concept `floating_point`

Concept `assignable_from`

Concept `swappable`

Concept `swappable_with`

Concept `destructible`

Concept `constructible_from`

Concept `default_initializable`

Concept `move_constructible`

Concept `copy_constructible`

Concept `equality_comparable`

Concept `equality_comparable_with`

Helper concept `partially-ordered-with`

Concept `totally_ordered`

Concept `totally_ordered_with`

Concept `movable`

Concept `copyable`

Concept `semiregular`

Concept `regular`

Concept `invocable`

Concept `regular_invocable`

Concept `predicate`

Concept `relation`

Concept `equivalence_relation`

Concept `strict_weak_order`