Function objects

A function object is any object for which the function call operator is defined. C++ provides many built-in function objects as well as support for creation and manipulation of new function objects.

Function wrappers

std::function provides support for storing arbitrary function objects.

function (C++11)	wraps callable object of any type with specified function call signature (class template)
bad_function_call (C++11)	the exception thrown when invoking an empty std::function (class)
mem_fn (C++11)	creates a function object out of a pointer to a member (function template)

Function invocation

std::invoke can invoke any Callable object with given arguments.

invoke (C++17)

invokes any Callable object with given arguments (function template)

Identity

std::identity is the identity function object: it returns its argument unchanged.

identity (C++20)

function object that returns its argument unchanged (class)

Partial function application

std::bind_front and std::bind provide support for partial function application, i.e. binding arguments to functions to produce new functions.

bind_front (C++20)	binds a variable number of arguments, in order, to a function object (function template)
bind (C++11)	binds one or more arguments to a function object (function template)
is_bind_expression (C++11)	indicates that an object is std::bind expression or can be used as one (class template)
is_placeholder (C++11)	indicates that an object is a standard placeholder or can be used as one (class template)
Defined in namespace std::placeholders
_1, _2, _3, _4, ... (C++11)	placeholders for the unbound arguments in a std::bind expression (constant)

Negators

std::not_fn creates a function object that negates the result of the callable object passed to it.

not_fn (C++17)

Creates a function object that returns the complement of the result of the function object it holds (function template)

Searchers

Searchers implementing several string searching algorithms are provided and can be used either directly or with std::search.

default_searcher (C++17)	standard C++ library search algorithm implementation (class template)
boyer_moore_searcher (C++17)	Boyer-Moore search algorithm implementation (class template)
boyer_moore_horspool_searcher (C++17)	Boyer-Moore-Horspool search algorithm implementation (class template)

Reference wrappers

Reference wrappers allow reference arguments to be stored in copyable function objects:

reference_wrapper (C++11)	CopyConstructible and CopyAssignable reference wrapper (class template)
refcref (C++11)(C++11)	creates a std::reference_wrapper with a type deduced from its argument (function template)
unwrap_referenceunwrap_ref_decay (C++20)(C++20)	get the reference type wrapped in std::reference_wrapper (class template)

Operator function objects

C++ defines several function objects that represent common arithmetic and logical operations:

Arithmetic operations
plus	function object implementing x + y (class template)
minus	function object implementing x - y (class template)
multiplies	function object implementing x * y (class template)
divides	function object implementing x / y (class template)
modulus	function object implementing x % y (class template)
negate	function object implementing -x (class template)
Comparisons
equal_to	function object implementing x == y (class template)
not_equal_to	function object implementing x != y (class template)
greater	function object implementing x > y (class template)
less	function object implementing x < y (class template)
greater_equal	function object implementing x >= y (class template)
less_equal	function object implementing x <= y (class template)
Logical operations
logical_and	function object implementing x && y (class template)
logical_or	function object implementing x || y (class template)
logical_not	function object implementing !x (class template)
Bitwise operations
bit_and	function object implementing x & y (class template)
bit_or	function object implementing x | y (class template)
bit_xor	function object implementing x ^ y (class template)
bit_not (C++14)	function object implementing ~x (class template)

Constrained comparison function objects (C++20)

C++20 defines a set of constrained comparison function objects. The equality operators (ranges::equal_to and ranges::not_equal_to) require the types of the arguments to model EqualityComparableWith. The relational operators (ranges::less, ranges::greater, ranges::less_equal, and ranges::greater_equal) require the types of the arguments to model StrictTotallyOrderedWith.

ranges::equal_to (C++20)	function object implementing x == y (class)
ranges::not_equal_to (C++20)	function object implementing x != y (class)
ranges::less (C++20)	function object implementing x < y (class)
ranges::greater (C++20)	function object implementing x > y (class)
ranges::less_equal (C++20)	function object implementing x <= y (class)
ranges::greater_equal (C++20)	function object implementing x >= y (class)

Old binders and adaptors

Several utilities that provided early functional support are deprecated in C++11 and removed in C++17 (old negators are deprecated in C++17 and removed in C++20):

Base
unary_function (deprecated in C++11)(removed in C++17)	adaptor-compatible unary function base class (class template)
binary_function (deprecated in C++11)(removed in C++17)	adaptor-compatible binary function base class (class template)
Binders
binder1stbinder2nd (deprecated in C++11)(removed in C++17)	function object holding a binary function and one of its arguments (class template)
bind1stbind2nd (deprecated in C++11)(removed in C++17)	binds one argument to a binary function (function template)
Function adaptors
pointer_to_unary_function (deprecated in C++11)(removed in C++17)	adaptor-compatible wrapper for a pointer to unary function (class template)
pointer_to_binary_function (deprecated in C++11)(removed in C++17)	adaptor-compatible wrapper for a pointer to binary function (class template)
ptr_fun (deprecated in C++11)(removed in C++17)	creates an adaptor-compatible function object wrapper from a pointer to function (function template)
mem_fun_tmem_fun1_tconst_mem_fun_tconst_mem_fun1_t (deprecated in C++11)(removed in C++17)	wrapper for a pointer to nullary or unary member function, callable with a pointer to object (class template)
mem_fun (deprecated in C++11)(removed in C++17)	creates a wrapper from a pointer to member function, callable with a pointer to object (function template)
mem_fun_ref_tmem_fun1_ref_tconst_mem_fun_ref_tconst_mem_fun1_ref_t (deprecated in C++11)(removed in C++17)	wrapper for a pointer to nullary or unary member function, callable with a reference to object (class template)
mem_fun_ref (deprecated in C++11)(removed in C++17)	creates a wrapper from a pointer to member function, callable with a reference to object (function template)
unary_negate (deprecated in C++17)(removed in C++20)	wrapper function object returning the complement of the unary predicate it holds (class template)
binary_negate (deprecated in C++17)(removed in C++20)	wrapper function object returning the complement of the binary predicate it holds (class template)
not1 (deprecated in C++17)(removed in C++20)	constructs custom std::unary_negate object (function template)
not2 (deprecated in C++17)(removed in C++20)	constructs custom std::binary_negate object (function template)