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Showing content from https://cplusplus.com/reference/functional/ below:

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Function objects

Function objects are objects specifically designed to be used with a syntax similar to that of functions. In C++, this is achieved by defining member function operator() in their class, like for example:

struct myclass {
  int operator()(int a) {return a;}
} myobject;
int x = myobject (0);           // function-like syntax with object myobject

They are typically used as arguments to functions, such as predicates or comparison functions passed to standard algorithms.

Base classes

unary_function: Unary function object base class (class template)

binary_function: Binary function object base class (class template)

Operator classesArithmetic operations:

plus: Addition function object class (class template)

minus: Subtraction function object class (class template)

multiplies: Multiplication function object class (class template)

divides: Division function object class (class template)

modulus: Modulus function object class (class template)

negate: Negative function object class (class template)

Comparison operations:

equal_to: Function object class for equality comparison (class template)

not_equal_to: Function object class for non-equality comparison (class template)

greater: Function object class for greater-than inequality comparison (class template)

less: Function object class for less-than inequality comparison (class template)

greater_equal: Function object class for greater-than-or-equal-to comparison (class template)

less_equal: Function object class for less-than-or-equal-to comparison (class template)

Logical operations:

logical_and: Logical AND function object class (class template)

logical_or: Logical OR function object class (class template)

logical_not: Logical NOT function object class (class template)

Adaptor and conversion functionsNegators

not1: Return negation of unary function object (function template)

not2: Return negation of binary function object (function template)

Parameter binders

bind1st: Return function object with first parameter bound (function template)

bind2nd: Return function object with second parameter bound (function template)

Conversors

ptr_fun: Convert function pointer to function object (function template)

mem_fun: Convert member function to function object (pointer version) (function template)

mem_fun_ref: Convert member function to function object (reference version) (function template)

Instrumental types

unary_negate: Negate unary function object class (class template)

binary_negate: Negate binary function object class (class template)

binder1st: Generate function object class with 1st parameter bound (class template)

binder2nd: Generate function object class with 2nd parameter bound (class template)

pointer_to_unary_function: Generate unary function object class from pointer (class template)

pointer_to_binary_function: Generate binary function object class from pointer (class template)

mem_fun_t: Generate function object class from parameterless member (pointer version) (class template)

mem_fun1_t: Generate function object class from single-parameter member (pointer version) (class template)

const_mem_fun_t: Generate function object class from const parameterless member (pointer version) (class template)

const_mem_fun1_t: Generate function object class from single-parameter const member (pointer version) (class template)

mem_fun_ref_t: Generate function object class from parameterless member (reference version) (class template)

mem_fun1_ref_t: Generate function object class from single-parameter member (reference version) (class template)

const_mem_fun_ref_t: Generate function object class from const parameterless member (reference version) (class template)

const_mem_fun1_ref_t: Generate function object class from single-parameter const member (reference version) (class template)

Functions These functions create objects of wrapper classes based on its arguments:

bind: Bind function arguments (function template)

cref: Construct reference_wrapper to const (function template)

mem_fn: Convert member function to function object (function template)

not1: Return negation of unary function object (function template)

not2: Return negation of binary function object (function template)

ref: Construct reference_wrapper (function template)

Classes
Wrapper classesWrapper classes are classes that hold an object and have an interface similar to that object, but adding or changing some of its features:

binary_negate: Negate binary function object class (class template)

function: Function wrapper (class template)

reference_wrapper: Reference wrapper (class template)

unary_negate: Negate unary function object class (class template)

Operator classesOperator classes are classes that define functional objects that call operators:

bit_and: Bitwise AND function object class (class template)

bit_or: Bitwise OR function object class (class template)

bit_xor: Bitwise XOR function object class (class template)

divides: Division function object class (class template)

equal_to: Function object class for equality comparison (class template)

greater: Function object class for greater-than inequality comparison (class template)

greater_equal: Function object class for greater-than-or-equal-to comparison (class template)

less: Function object class for less-than inequality comparison (class template)

less_equal: Function object class for less-than-or-equal-to comparison (class template)

logical_and: Logical AND function object class (class template)

logical_not: Logical NOT function object class (class template)

logical_or: Logical OR function object class (class template)

minus: Subtraction function object class (class template)

modulus: Modulus function object class (class template)

multiplies: Multiplication function object class (class template)

negate: Negative function object class (class template)

not_equal_to: Function object class for non-equality comparison (class template)

plus: Addition function object class (class template)

Other classes

bad_function_call: Exception thrown on bad call (class)

hash: Default hash function object class (class template)

is_bind_expression: Is bind expression (class template)

is_placeholder: Is placeholder (class template)

Namespaces

placeholders: Bind argument placeholders (namespace)

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