Template argument deduction
In order to instantiate a function template, every template argument must be known, but not every template argument has to be specified. When possible, the compiler will deduce the missing template arguments from the function arguments. This occurs when a function call is attempted and when an address of a function template is taken.
template<typename To, typename From> To convert(From f); void g(double d) { int i = convert<int>(d); // calls convert<int,double>(double) char c = convert<char>(d); // calls convert<char,double>(double) int(*ptr)(float) = convert; // instantiates convert<int, float>(float) }
This mechanism makes it possible to use template operators, since there is no syntax to specify template arguments for an operator other than by rewriting it as a function call expression.
Template argument deduction takes place after the function template name lookup (which may involve argumentdependent lookup) and before template argument substitution (which may involve SFINAE) and overload resolution.
Contents 
[edit] Deduction from a function call
Template argument deduction attempts to determine template arguments (types for type template parameters T
i, templates for template template parameters TT
i, and values for nontype template parameters I
i), which can be substituted into each parameter P
to produce the type deduced A, which is the same as the type of the argument A
, after adjustments listed below.
If there are multiple parameters, each P/A pair is deduced separately and the deduced template arguments are then combined. If deduction fails or is ambiguous for any P/A pair or if different pairs yield different deduced template arguments, or if any template argument remains neither deduced nor explicitly specified, compilation fails.
If removing references and cvqualifiers from P gives std::initializer_list<P'> and A is a bracedinitlist, then deduction is performed for every element of the initializer list, taking P' as the parameter and the list element as the argument.
template<class T> void f(std::initializer_list<T>); f({1,2,3}); // P=std::initializer_list<T>, A={1,2,3} // P'1=T, A'1=1: deduces T=int // P'2=T, A'2=2: deduces T=int // P'3=T, A'3=3: deduces T=int // deduction succeeds, T = int f({1,"asdf"}); // P=std::initializer_list<T>, A={1,"asdf"} // P'1=T, A'1=1: deduces T=int // P'2=T, A'2="asdf", deduces T=const char* // deduction fails, T ambiguous
If removing references and cvqualifiers from P gives template<class T, int N> void h(T const(&)[N]); h({1,2,3}); // T deduced to int, N deduced to 3 template<class T> void j(T const(&)[3]); j({42}); // T deduced to int, array bound is not a parameter, not considered struct Aggr { int i; int j; }; template<int N> void k(Aggr const(&)[N]); k({1,2,3}); // error: deduction fails, no conversion from int to Aggr k({{1},{2},{3}}); // OK, N deduced to 3 template<int M, int N> void m(int const(&)[M][N]); m({{1,2},{3,4}}); // M and N both deduced to 2 template<class T, int N> void n(T const(&)[N], T); n({{1},{2},{3}},Aggr()); // OK, T is Aggr, N is 3 
(since C++17) 
If a parameter pack appears as the last P, then the type P is matched against the type A of each remaining argument of the call. Each match deduces the template arguments for the next position int the pack expansion.
template<class ... Types> void f(Types& ...); void h(int x, float& y) { const int z = x; f(x, y, z); // P=Types&..., A1=x: deduces the first member of Types... to int // P=Types&..., A2=y: deduces the second member of Types... to float // P=Types&..., A3=z: deduces the third member of Types... to const int // calls f<int, float, const int>
If P
is a function type, pointer to function type, or pointer to member function type and if A
is a set of overloaded functions not containing function templates, template argument deduction is attempted with each overload. If only one succeeds, that successful deduction is used. If none or more than one succeeds, the template parameter is nondeduced context (see below).
template <class T> int f(T (*p)(T)); int g(int); int g(char); f(g); // P=T(*)(T), A=overload set // P=T(*)(T), A1=int(int): deduces T=int // P=T(*)(T), A2=int(char): fails to deduce T // only one overload works, deduction succeeds
Before deduction begins, the following adjustments to P
and A
are made:
P
is not a reference type, A
is an array type, A
is replaced by the pointer type obtained from arraytopointer conversionA
is a function type, A
is replaced by the pointer type obtained from functiontopointer conversionA
is a cvqualified type, the toplevel cvqualifiers are ignored for deduction
template <class T> void f(T); int a[3]; f(a); // P = T, A = int[3], adjusted to int*. Deduces T = int* const int b = 13; f(b); // P = T, A = const int, adjusted to int. Deduces T = int void g(int); f(g); // P = T, A = void(int), adjusted to void(*)(int). Deduces T = void(*)(int)
P
is a cvqualified type, the toplevel cv qualifiers are ignored for deduction.P
is a reference type, the type referred to by P
is used for deduction.P
is an rvalue reference to a cvunqualified template parameter (socalled "forwarding reference"), and the corresponding function call argument is an lvalue, the type lvalue reference to A
is used in place of A
for deduction (Note: this is the basis for the action of std::forward)
template <class T> int f(T&&); // P is rvalue reference to cvunqualified T ("forwarding reference") template <class T> int g(const T&&); // P is rvalue reference to cvqualified T (not special) int main() { int i; int n1 = f(i); // argument is lvalue: calls f<int&>(int&) (special case) int n2 = f(0); // argument is not lvalue: calls f<int>(int&&) // int n3 = g(i); // error: deduces to g<int>(const int&&), which // cant bind an rvalue reference to an lvalue: }
After these transformations, the deduction process as described below (in "Deduction from type"), and attempts to find such template arguments that would make deduced A (that is, P
after adjustments listed above and the substitution of the deduced template parameters) identical to the transformed A, that is A
after the adjustments listed above.
If the usual deduction from P
and A
fails, the following alternatives are additionally considered:
P
is a reference type, the deduced A (i.e., the type referred to by the reference) can be more cvqualified than the transformed A.
template<typename T> void f1(const T& t); bool a = false; f1(a); // P=const T&, adjusted to const T, A=bool, // deduced T = bool, deduced A = const bool // deduced A is more cvqualified than A
template<typename T> void f(const T*); int* p; f(p); // P=T, A=int* // deduces T=int, deduced A = const int* // qualification conversion applies (from int* to const int*)
P
is a class and P
has the form simpletemplateid, then the transformed A can be a derived class of the deduced A. Likewise, if P
is a pointer to a class of the form simpletemplateid, the transformed A can be a pointer to a derived class pointed to by the deduced A.
template <class T> struct B { }; template <class T> struct D : public B<T> {}; template <class T> void f(B<T>&){} void f() { D<int> d; f(d); // P = B<T>&, adjusted P = B<T> (a simpletemplateid) // A = D<int> // deduced T = int, deduced A = B<int> // A is derived from deduced A }
[edit] Nondeduced contexts
In the following cases, the types, templates, and nontype values that are used to compose P
do not participate in template argument deduction, but instead use the template arguments that were either deduced elsewhere or explicitly specified. If a template parameter is used only in nondeduced contexts and is not explicitly specified, template argument deduction fails
// the identity template, often used to exclude specific arguments from deduction template <typename T> struct identity { typedef T type; }; template <typename T> void bad(std::vector<T> x, T value = 1); template <typename T> void good(std::vector<T> x, typename identity<T>::type value = 1); std::vector<std::complex<double>> x; bad(x, 1.2); // P1 = std::vector<T>, A1 = std::vector<std::complex<double>> // P1/A1 deduction determines T = std::complex<double> // P2 = T, A2 = double // P2/A2 deduction determines T = double  Error good(x, 1.2); // P1/A1 deduces T = std::complex<double> // P2 = identity<T>::type, T is to the left of ::, nondeduced
2) The expression of a decltypespecifier.
template<typename T> void f(decltype(*std::declval<T>()) arg); int n; f<int*>(n); // P = decltype(*declval<T>()), A=int. T is not deducible 
(since C++14) 
parameter
template<std::size_t N> void f(std::array<int, 2*N> a); std::array<int, 10> a; f(a); // P=std::array<int, 2*N>, "2*N" is nondeduced context, N cannot be deduced // (note: "f(std::array<int, N> a)" would be able to deduce N)
template<typename T, typename F> void f(const std::vector<T> &arr, const F& comp = std::less<T>()); std::vector<std::string> arr(3); f(arr); // P1 = const std::vector<T> &, A1=std::vector<std::string> lvalue, // P1/A1 deduces T = std::string // P2 = nondeduced context for F (template parameter) used in the // parameter type const F& of the function parameter comp, // that has a default argument that is being used in the call f(arr)
P
, whose A
is a function or a set of overloads such that more than one function matches P
or no function matches P
or the set of overloads includes one or more function templates
P
, whose A
is a bracedinitlist, but P
is not std::initializer_list or a reference to one.
template<class T> void g1(std::vector<T>); g1({1,2,3}); // P=std::vector<T>, A={1,2,3}, this P is nondeduced context // Error: T is not explicitly specified or deduced from another P/A template<class T> void g2(std::vector<T>, T x); g2({1,2,3}, 10); // P1=std::vector<T,> A1={1,2,3}, this P is nondeduced context // P2=T, A2=int, this P/A pair deduces T = int
P
which is a parameter pack and does not occur at the end of the parameter list.
template<class... Ts, class T> void f1(T n, Ts... args) {} template<class... Ts, class T> void f2(Ts... args, T n) {} f1(1,2,3,4); // P1=T, A1=1: T is deduced to be int // P2=Ts..., A2=2, A3=3, A4=4: Ts is deduced to be [int, int, int] f2(1,2,3,4); // P1=Ts..., nondeducible
P
, and which includes a pack expansion that is not at the very end of the template parameter list.
template<int...> struct T {}; template<int... Ts1, int N, int... Ts2> void good(const T<N, Ts1...>& arg1, const T<N, Ts2...>&) {} template<int... Ts1, int N, int... Ts2> void bad(const T<Ts1..., N>& arg1, const T<Ts2..., N>&) {} T<1,2> t1; T<1,1,0> t2; good(t1, t2); // P1=const T<N, Ts1...>&, A1=T<1,2>: deduces N=1, Ts1=[2] // P2=const T<N, Ts2...>&, A2=T<1,1,0>: deduces N=1, Ts2=[1, 0] bad(t1, t2); // P1=const T<Ts1..., N>&, A1=T<1,2>: <Ts1..., N> is nondeduced // P2=const T<Ts2..., N>&, A2=T<1,1,0>: <Ts2..., N> is nondeduced
P
of array type (but not reference to array or pointer to array), the major array bound.
template<int i> void f1(int a[10][i]); template<int i> void f2(int a[i][20]); // P = int[i][20], array type template<int i> void f3(int (&a)[i][20]); // P =int(&)[i][20], reference to array void g() { int v[10][20]; f1(v); // OK: i deduced to be 20 f1<20>(v); // OK f2(v); // error: cannot deduce templateargument i f2<10>(v); // OK f3(v); // OK: i deduced to be 10 }
In any case, if any part of a type name is nondeduced context, the entire type name is nondeduced. However, compound types can include both deduced and nondeduced type names. For example, in A<T>::B<T2>, T
is nondeduced because of rule #1 (nested name specifier), and T2
is nondeduced because it is part of the same type name, but in void(*f)(typename A<T>::B, A<T>), the T
in A<T>::B is nondeduced (because of the same rule), while the T
in A<T> is deduced.
[edit] Deduction from a type
Given a function parameter P
that depends on one or more type template parameters T
i, template template parameters TT
i, or nontype template parameters I
i, and the corresponding argument A
, deduction takes place if P
has one of the following forms:
This section is incomplete Reason: possibly a table with microexamples 

T

cvlist T

T*

T&

T&&

T[integerconstant]

classtemplatename<T>

type(T)

T()

T(T)

T type::*

type T::*

T T::*

T(type::*)()

type(T::*)()

type(type::*)(T)

type(T::*)(T)

T (type::*)(T)

T (T::*)()

T (T::*)(T)

type[i]

classtemplatename<I>

TT<T>

TT<I>

TT<>
where

(T)
is a function parameter type list where at least one parameter type contains T 
()
is a function parameter type list where no parameters contain T 
<T>
is a template argument list where at least one argument contains T 
<I>
is a template argument list where at least one argument contains I 
<>
is a template argument list where no arguments contain T or I
If P
has one of the forms that include a template parameter list <T>
or <I>
, then each element P
i of that template argument list is matched against the corresponding template argument A
i of its A
. If the last P
i is a pack expansion, then its pattern is compared against each remaining argument in the template argument list of A
. A trailing parameter pack that is not otherwise deduced, is deduced to an empty parameter pack.
If P
has one of the forms that include a function parameter list (T)
, then each parameter P
i from that list is compared with the corresponding argument A
i from A
's function parameter list. If the last P
i is a pack expansion, then its declarator is compared with each remaining A
i in the parameter type list of A
.
Forms can be nested and processed recursively: X<int>(*)(char[6])
is an example of type(*)(T)
, where type is classtemplatename<T>
and T is type[i]
, which is, in turn, an example of classtemplatename<T>
Template type argument cannot be deduced from the type of a nontype template argument.
template<typename T, T i> void f(double a[10][i]); double v[10][20]; f(v); // P=double[10][i] A=double[10][20]: // i can be deduced to equal 20 // but T cannot be deduced from the type of i
If a nontype template parameter is used in the parameter list, and the corresponding template argument is deduced, the type of the deduced template argument must match the type of the nontype template parameter exactly (except that cvqualifiers are dropped, and except where the template argument is deduced from an array bound  in that case any integral type is allowed, even bool though it would always become true)
template<int i> class A {}; template<short s> void f(A<s>); // the type of the nontype template param is short void k1() { A<1> a; // the type of the nontype template param of a is int f(a); // P=A<(short)s>, A=A<(int)1>, Error: deduced nontype template argument // does not have the same type as its corresponding template argument f<1>(a); // OK, the template argument is not deduced, // this calls f<(short)1>(A<(short)1>) }
Template type parameter cannot be deduced from the type of a function default argument
template<typename T> void f(T = 5, T = 7); void g() { f(1); // OK: calls f<int>(1,7) f(); // error: cannot deduce T f<int>(); // OK: calls f<int>(5,7) }
Deduction of template template parameter can use the type used in the template specialization used in the function call
template <template<typename> class X> struct A {}; // A is a template with a TT param template <template<typename> class TT> void f(A<TT>) {} template<class T> struct B { }; A<B> ab; f(ab); // P=A<TT>, A=A<B>. This deduces TT=B and calls f(A<B>)
[edit] Other contexts
Besides function call expressions and an operator expressions, template argument deduction is used in the following situations:
[edit] auto type deduction
Template argument deduction is used in declarations of variables, when deducing the meaning of the auto specifier from the variable's initializer.
The parameter P
is obtained as follows: in T
, the declared type of the variable that includes auto
, every occurrence of auto
is replaced with an imaginary type template parameter U
or, if the initializer is a braceinitlist, with std::initializer_list<U>
. The argument A
is the initializer expression. After deduction of U
from P
and A
following the rules described above, the deduced U
is substituted into T
to get the actual variable type.
const auto& x = 1+2; // P = const U&, A = 1+2 // same rules as for calling f(1+2) where f is // template <class U> void f(const U& u) // U is deduced to be int, and the type of x is const int& auto l = {13}; // P = std::initializer_list<U>, A = {13} // U is deduced to be int, the type of l is std::initializer_list<int>
In directlistinitialization (but not in copylistinitalization), when deducing the meaning of the auto from a bracedinitlist, the bracedinitlist must contain only one element, and the type of auto will be the type of that element: auto x1 = {3}; // x1 is std::initializer_list<int> auto x2{1, 2}; // error: not a single element auto x3{3}; // x3 is int (before C++17 it was std::initializer_list<int>) 
(since C++17) 
autoreturning functionsTemplate argument deduction is used in declarations of functions, when deducing the meaning of the auto specifier in the function's return type, from the return statement. For autoreturning functions, the parameter If such function has multiple return statements, the deduction is performed for each return statement. All the resulting types must be the same and become the actual return type. If such function has no return statement, auto f() { return 42; } // P = auto, A = 42 // U is deduced to be int, the return type of f is int Note: the meaning of decltype(auto) placeholder in variable and function declarations does not use template argument deduction 
(since C++14) 
[edit] overload resolution
Template argument deduction is used during overload resolution, when generating specializations from a candidate template function.
P
and A
are the same as in a regular function call
std::string s; std::getline(std::cin, s); // "std::getline" names 4 function templates, // 2 of which are candidate functions (correct number of parameters) // 1st candidate template: // P1 = std::basic_istream<CharT,Traits>&, A1 = std::cin // P2 = std::basic_string<CharT,Traits,Allocator>&, A2 = s // deduction determines the type template parameters CharT, Traits, and Allocator // specialization std::getline<char, std::char_traits<char>, std::allocator<char>> // 2nd candidate template: // P1 = std::basic_istream<CharT,Traits>&&, A1 = std::cin // P2 = std::basic_string<CharT,Traits,Allocator>&, A2 = s // deduction determines the type template parameters CharT, Traits, and Allocator // specialization std::getline<char, std::char_traits<char>, std::allocator<char>> // overload resolution ranks reference binding from lvalue std::cin and picks // the first of the two candidate specializations
[edit] address of an overload set
Template argument deduction is used when taking an address of a overload set, which includes function templates
The function type of the function template is P
. The target type is the type of A
std::cout << std::endl; // std::endl names a function template // P = std::basic_ostream<CharT,Traits>&(std::basic_ostream<CharT,Traits>&) // the type of A is std::basic_ios<CharT,Traits>&(*)(std::basic_ios<CharT,Traits>&) // (other overloads of operator<< are not viable) // deduction determines the type template parameters CharT and Traits
An additional rule is applied to the deduction in this case: when comparing function parameters P
i and A
i, if any P
i is an rvalue reference to cvunqualified template parameter (a "forwarding reference") and the corresponding A
i is an lvalue reference, then P
i is adjusted to the template parameter type (T&& becomes T)
[edit] partial ordering
Template argument deduction is used during partial ordering of overloaded function templates
This section is incomplete Reason: miniexample 
[edit] conversion function template
Template argument deduction is used when selecting userdefined conversion function template arguments.
A
is the type that is required as the result of the conversion. P
is the return type of the conversion function template, except that
P
is the referred typeA
is not a reference type, then P
is the pointer type obtained by arraytopointer conversionA
is not a reference type, then P
is the function pointer type obtained by arraytopointer conversionP
is cvqualified, the toplevel cv qualifiers are ignored.If A
is cvqualified, the toplevel cv qualifiers are ignored. If A
is a reference type, the referred type is used by deduction.
If, the usual deduction from P
and A
(as described above) fails, the following alternatives are additionally considered:
struct A { template <class T> operator T***(); }; A a; const int * const * const * p1 = a; // A = const int * const * const * // P = T*** // regular functioncall deduction for // template<class T> void f(T*** p) as if called with the argument // of type const int * const * const * fails // additional deduction for conversion functions determines T = int // (deduced A is int***, convertible to const int * const * const *)
[edit] explicit instantiation
Template argument deduction is used in explicit instantiations, explicit specializations, and those friend declarations where the declaratorid happens to refer to a specialization of a function template (for example, friend ostream& operator<< <> (...)), if not all template arguments are explicitly specified or defaulted, template argument deduction is used to determine which template's specialization is referred to.
P
is the type of the function template that is being considered as a potential match, and A
is the function type from the declaration. If there are no matches or more than one match (after partial ordering), the function declaration is illformed.
template<class X> void f(X a); // first template f template<class X> void f(X* a); // second template f template<> void f<>(int *a) {} // explicit specialization of f // P1 = void(X), A1=void(int*): deduces X=int* // P2 = void(X*), A2=void(int*): deduces X=int // foo<int*>(int*) and f<int>(int*) are then submitted to partial ordering // which selects f<int>(int*) as the more specialized
An additional rule is applied to the deduction in this case: when comparing function parameters P
i and A
i, if any P
i is an rvalue reference to cvunqualified template parameter (a "forwarding reference") and the corresponding A
i is an lvalue reference, then P
i is adjusted to the template parameter type (T&& becomes T)
[edit] deallocation function template
Template argument deduction is used when determining if a deallocation function template specialization matches a given placement form of operator new
.
P
is the type of the function template that is being considered as a potential match, and A
is the function type of the deallocation function that would be the match for the placement operator new under consideration. If there is no match or more than one match (after overload resolution), the placement deallocation function is not called (memory leak may occur).
struct X { X() { throw std::runtime_error(""); } static void* operator new(std::size_t sz, bool b) { return ::operator new(sz); } static void* operator new(std::size_t sz, double f) { return ::operator new(sz); } template<typename T> static void operator delete(void* ptr, T arg) { ::operator delete(ptr); } }; int main() { try { X* p1 = new (true) X; // when X() throws, operator delete is looked up // P1=void(void*, T), A1=void(void*, bool): deduces T=bool // P2=void(void*, T), A2=void(void*, double): T=double // overload resolution picks operator delete<bool> } catch(const std::exception&) { } try { X* p1 = new (13.2) X; // same lookup, picks operator delete<double> } catch(const std::exception&) { } }
[edit] Alias templates
Alias templates are never deduced
template<class T> struct Alloc {}; template<class T> using Vec = vector<T, Alloc<T>>; Vec<int> v; template<template<class,class> class TT> void g(TT<int, Alloc<int>>); g(v); // ok: deduces TT = vector template<template<class> class TT> void f(TT<int>); f(v); // error: TT cannot be deduced as "Vec" because Vec is an alias template
[edit] Notes
Type deduction does not consider implicit conversions (other than type adjustments listed above): that's the job for overload resolution, which happens later.