The subclauses of [over.match.funcs] describe
the set of candidate functions and the argument list submitted to
overload resolution in each context in which
overload resolution is used.

The source transformations and constructions defined
in these subclauses are only for the purpose of describing the
overload resolution process.

An implementation is not required
to use such transformations and constructions.

The set of candidate functions can contain both member and non-member
functions to be resolved against the same argument list.

So that argument and parameter lists are comparable within this
heterogeneous set, a member function that does not have an explicit object parameter is considered to have an
extra first parameter, called the
*implicit object parameter*,
which represents the object for which the member function has been
called.

For the purposes of overload resolution, both static and
non-static member functions have an object parameter,
but constructors do not.

Similarly, when appropriate, the context can construct an
argument list that contains an
*implied object argument*
as the first argument in the list to denote
the object to be operated on.

For implicit object member functions, the type of the implicit object
parameter is

- “lvalue reference to cv X” for functions declared
without a
*ref-qualifier*or with the &*ref-qualifier* - “rvalue reference to cv X” for functions declared with the
&&
*ref-qualifier*

For conversion functions that are implicit object member functions,
the function is considered to be a member of the
class of the implied object argument for the purpose of defining the
type of the implicit object parameter.

For non-conversion functions that are implicit object member functions
nominated by a *using-declaration*
in a derived class, the function is
considered to be a member of the derived class for the purpose of defining
the type of the implicit object parameter.

For static member functions, the implicit object parameter is considered
to match any object (since if the function is selected, the object is
discarded).

[*Note 1*: *end note*]

No actual type is established for the implicit object parameter
of a static member function, and no attempt will be made to determine a
conversion sequence for that parameter ([over.match.best]).

— During overload resolution, the implied object argument is
indistinguishable from other arguments.

The implicit object
parameter, however, retains its identity since
no user-defined conversions can be applied to achieve a type
match with it.

For implicit object member functions declared without a *ref-qualifier*,
even if the implicit object parameter is not const-qualified,
an rvalue can be bound to the parameter
as long as in all other respects the argument can be
converted to the type of the implicit object parameter.

Because other than in list-initialization only one user-defined conversion
is allowed
in an
implicit conversion sequence, special rules apply when selecting
the best user-defined conversion ([over.match.best], [over.best.ics]).

[*Example 2*: class T {
public:
T();
};
class C : T {
public:
C(int);
};
T a = 1; // error: no viable conversion (T(C(1)) not considered)
— *end example*]

In each case where conversion functions of a class S are considered
for initializing an object or reference of type T,
the candidate functions include the result of a search
for the *conversion-function-id* operator T
in S.

[*Note 3*: *end note*]

This search can find a specialization of
a conversion function template ([basic.lookup]).

—
Each such case also defines sets of *permissible types*
for explicit and non-explicit conversion functions;
each (non-template) conversion function
that

- is a non-hidden member of S,
- yields a permissible type, and,
- for the former set, is non-explicit

If initializing an object, for any permissible type cv U, any
*cv2* U, *cv2* U&, or *cv2* U&&
is also a permissible type.

If the set of permissible types for explicit conversion functions is empty,
any candidates that are explicit are discarded.

In each case where a candidate is a function template, candidate
function template specializations
are generated using template argument deduction ([temp.over], [temp.deduct]).

If a constructor template or conversion function template
has an *explicit-specifier*
whose *constant-expression* is value-dependent ([temp.dep]),
template argument deduction is performed first and then,
if the context admits only candidates that
are not explicit and the generated specialization is explicit ([dcl.fct.spec]),
it will be removed from the candidate set.

A given name can refer to, or a conversion can consider,
one or more function templates as well as a set of non-template functions.

In such a case, the
candidate functions generated from each function template are combined
with the set of non-template candidate functions.

A
defaulted move special member function ([class.copy.ctor], [class.copy.assign])
that is defined as deleted
is excluded from the set of candidate functions in all contexts.

A constructor inherited from class type C ([class.inhctor.init])
that has a first parameter of type “reference to *cv1* P”
(including such a constructor instantiated from a template)
is excluded from the set of candidate functions
when constructing an object of type *cv2* D
if the argument list has exactly one argument and
C is reference-related to P and
P is reference-related to D.

[*Example 3*: struct A {
A(); // #1
A(A &&); // #2
template<typename T> A(T &&); // #3
};
struct B : A {
using A::A;
B(const B &); // #4
B(B &&) = default; // #5, implicitly deleted
struct X { X(X &&) = delete; } x;
};
extern B b1;
B b2 = static_cast<B&&>(b1); // calls #4: #1 is not viable, #2, #3, and #5 are not candidates
struct C { operator B&&(); };
B b3 = C(); // calls #4
— *end example*]

In a function call
if the *postfix-expression* names at least one function or
function template,
overload resolution is applied as specified in [over.call.func].

If the *postfix-expression* denotes an object of class type, overload
resolution is applied as specified in [over.call.object].

If the *postfix-expression* is the address of an overload set,
overload resolution is applied using that set as described above.

If the function selected by overload resolution is a non-static member function,
the program is ill-formed.

[*Note 1*: *end note*]

The resolution of the address of an
overload set in other contexts is described in [over.over].

— Of interest in [over.call.func] are only those function calls in
which the *postfix-expression*
ultimately contains an *id-expression* that
denotes one or more functions.

Such a
*postfix-expression*,
perhaps nested arbitrarily deep in
parentheses, has one of the following forms:

These represent two syntactic subcategories of function calls:
qualified function calls and unqualified function calls.

In qualified function calls,
the function is named by an *id-expression*
preceded by an -> or . operator.

Since the
construct
A->B
is generally equivalent to
(*A).B,
the rest of
[over] assumes, without loss of generality, that all member
function calls have been normalized to the form that uses an
object and the
.
operator.

Furthermore, [over] assumes that
the
*postfix-expression*
that is the left operand of the
.
operator
has type “cv T”
where
T
denotes a class.109

The function declarations found by name lookup ([class.member.lookup])
constitute the set of candidate functions.

The argument list is the
*expression-list*
in the call augmented by the addition of the left operand of
the
.
operator in the normalized member function call as the
implied object argument ([over.match.funcs]).

In unqualified function calls, the function is named by a
*primary-expression*.

The function declarations found by name lookup ([basic.lookup]) constitute the
set of candidate functions.

Because of the rules for name lookup, the set of candidate functions
consists (1) entirely of non-member functions or (2) entirely of
member functions of some class
T.

In case (1),
the argument list is
the same as the
*expression-list*
in the call.

In case (2), the argument list is the
*expression-list*
in the call augmented by the addition of an implied object
argument as in a qualified function call.

If the current class is, or is derived from, T, and the keyword
this ([expr.prim.this]) refers to it,
then the implied object argument is (*this).

Otherwise,
a contrived object of type
T
becomes the implied object argument;110
if overload resolution selects a non-static member function,
the call is ill-formed.

[*Example 1*: struct C {
void a();
void b() {
a(); // OK, (*this).a()
}
void f(this const C&);
void g() const {
f(); // OK, (*this).f()
f(*this); // error: no viable candidate for (*this).f(*this)
this->f(); // OK
}
static void h() {
f(); // error: contrived object argument, but overload resolution
// picked a non-static member function
f(C{}); // error: no viable candidate
C{}.f(); // OK
}
void k(this int);
operator int() const;
void m(this const C& c) {
c.k(); // OK
}
};
— *end example*]

110)110)

An implied object argument is contrived to
correspond to the implicit object
parameter attributed to member functions during overload resolution.

It is not
used in
the call to the selected function.

Since the member functions all have the
same implicit
object parameter, the contrived object will not be the cause to select or
reject a
function.

If the *postfix-expression* E
in the function call syntax evaluates
to a class object of type “cv T”,
then the set of candidate functions
includes at least the function call operators of T.

The function call operators of T
are the results of a search for the name operator()
in the scope of T.

In addition, for each non-explicit conversion function declared in T of the
form
*cv-qualifier-seq*
is the same cv-qualification as, or a greater cv-qualification than,
cv,
and where
*conversion-type-id*
denotes the type “pointer to function
of () returning R”,
or the type “reference to pointer to function
of () returning R”,
or the type
“reference to function of ()
returning R”, a *surrogate call function* with the unique name
*call-function*
and having the form
is also considered as a candidate function.

operator *conversion-type-id* ( ) *cv-qualifier-seq* *ref-qualifier* *noexcept-specifier* *attribute-specifier-seq* ;

where the optional
The argument list submitted to overload resolution consists of
the argument expressions present in the function call syntax
preceded by the implied object argument
(E).

[*Note 1*: *end note*]

When comparing the
call against the function call operators, the implied object
argument is compared against the object parameter of the
function call operator.

When comparing the call against a
surrogate call function, the implied object argument is compared
against the first parameter of the surrogate call function.

The
conversion function from which the surrogate call function was
derived will be used in the conversion sequence for that
parameter since it converts the implied object argument to the
appropriate function pointer or reference required by that first
parameter.

— [*Example 1*: int f1(int);
int f2(float);
typedef int (*fp1)(int);
typedef int (*fp2)(float);
struct A {
operator fp1() { return f1; }
operator fp2() { return f2; }
} a;
int i = a(1); // calls f1 via pointer returned from conversion function
— *end example*]

111)111)

Note that this construction can yield
candidate call functions that cannot be
differentiated one from the other by overload resolution because they have
identical
declarations or differ only in their return type.

The call will be ambiguous
if overload
resolution cannot select a match to the call that is uniquely better than such
undifferentiable functions.

If no operand of an operator in an expression has a type that is a class
or an enumeration, the operator is assumed to be a built-in operator
and interpreted according to [expr.compound].

[*Note 1*: *end note*]

Because
.,
.*,
and
::
cannot be overloaded,
these operators are always built-in operators interpreted according to
[expr.compound].

?:
cannot be overloaded, but the rules in this subclause are used to determine
the conversions to be applied to the second and third operands when they
have class or enumeration type ([expr.cond]).

— [*Example 1*: struct String {
String (const String&);
String (const char*);
operator const char* ();
};
String operator + (const String&, const String&);
void f() {
const char* p= "one" + "two"; // error: cannot add two pointers; overloaded operator+ not considered
// because neither operand has class or enumeration type
int I = 1 + 1; // always evaluates to 2 even if class or enumeration types exist
// that would perform the operation.
}
— *end example*]

If either operand has a type that is a class or an enumeration, a
user-defined operator function can be declared that implements
this operator or a user-defined conversion can be necessary to
convert the operand to a type that is appropriate for a built-in
operator.

In this case, overload resolution is used to determine
which operator function or built-in operator is to be invoked to implement the
operator.

Therefore, the operator notation is first transformed
to the equivalent function-call notation as summarized in
Table 19
(where @ denotes one of the operators covered in the specified subclause).

However, the operands are sequenced in the order prescribed
for the built-in operator ([expr.compound]).

Table 19: Relationship between operator and function call notation [tab:over.match.oper]

Subclause | Expression | As member function | As non-member function | |

@a | (a).operator@ ( ) | operator@(a) | ||

a@b | (a).operator@ (b) | operator@(a, b) | ||

a=b | (a).operator= (b) | |||

a[b] | (a).operator[](b) | |||

a-> | (a).operator->( ) | |||

a@ | (a).operator@ (0) | operator@(a, 0) |

For a unary operator @
with an operand of type *cv1* T1,
and for a binary operator @
with a left operand of type *cv1* T1
and a right operand of type *cv2* T2,
four sets of candidate functions, designated
*member candidates*,
*non-member candidates*,
*built-in candidates*,
and
*rewritten candidates*,
are constructed as follows:

- If T1 is a complete class type or a class currently being defined, the set of member candidates is the result of a search for operator@ in the scope of T1; otherwise, the set of member candidates is empty.
- For the operators =, [], or ->, the set of non-member candidates is empty; otherwise, it includes the result of unqualified lookup for operator@ in the rewritten function call ([basic.lookup.unqual], [basic.lookup.argdep]), ignoring all member functions.However, if no operand has a class type, only those non-member functions in the lookup set that have a first parameter of type T1 or “reference to cv T1”, when T1 is an enumeration type, or (if there is a right operand) a second parameter of type T2 or “reference to cv T2”, when T2 is an enumeration type, are candidate functions.
- For all other operators, the built-in candidates include all of the candidate operator functions defined in [over.built] that, compared to the given operator,
- have the same operator name, and
- accept the same number of operands, and
- accept operand types to which the given operand or operands can be converted according to [over.best.ics], and
- do not have the same parameter-type-list as any non-member candidate that is not a function template specialization.

- The rewritten candidate set is determined as follows:
- For the relational ([expr.rel]) operators, the rewritten candidates include all non-rewritten candidates for the expression x <=> y.
- For the relational ([expr.rel]) and three-way comparison ([expr.spaceship]) operators, the rewritten candidates also include a synthesized candidate, with the order of the two parameters reversed, for each non-rewritten candidate for the expression y <=> x.
- For the equality operators, the rewritten candidates also include a synthesized candidate, with the order of the two parameters reversed, for each non-rewritten candidate for the expression y == x that is a rewrite target with first operand y.
- For all other operators, the rewritten candidate set is empty.

A non-template function or function template F named operator==
is a rewrite target with first operand o
unless a search for the name operator!= in the scope S
from the instantiation context of the operator expression
finds a function or function template
that would correspond ([basic.scope.scope]) to F
if its name were operator==,
where S is the scope of the class type of o
if F is a class member, and
the namespace scope of which F is a member otherwise.

A function template specialization named operator== is a rewrite target
if its function template is a rewrite target.

[*Example 2*: struct A {};
template<typename T> bool operator==(A, T); // #1
bool a1 = 0 == A(); // OK, calls reversed #1
template<typename T> bool operator!=(A, T);
bool a2 = 0 == A(); // error, #1 is not a rewrite target
struct B {
bool operator==(const B&); // #2
};
struct C : B {
C();
C(B);
bool operator!=(const B&); // #3
};
bool c1 = B() == C(); // OK, calls #2; reversed #2 is not a candidate
// because search for operator!= in C finds #3
bool c2 = C() == B(); // error: ambiguous between #2 found when searching C and
// reversed #2 found when searching B
struct D {};
template<typename T> bool operator==(D, T); // #4
inline namespace N {
template<typename T> bool operator!=(D, T); // #5
}
bool d1 = 0 == D(); // OK, calls reversed #4; #5 does not forbid #4 as a rewrite target
— *end example*]

For the built-in assignment operators, conversions of the left
operand are restricted as follows:

- no temporaries are introduced to hold the left operand, and
- no user-defined conversions are applied to the left operand to achieve a type match with the left-most parameter of a built-in candidate.

The set of candidate functions for overload resolution
for some operator @
is the
union of
the member candidates,
the non-member candidates,
the built-in candidates,
and the rewritten candidates
for that operator @.

The argument list contains all of the
operands of the operator.

The best function from the set of candidate functions is selected
according to [over.match.viable]
and [over.match.best].112

[*Example 3*: struct A {
operator int();
};
A operator+(const A&, const A&);
void m() {
A a, b;
a + b; // operator+(a, b) chosen over int(a) + int(b)
}
— *end example*]

If a rewritten operator<=> candidate
is selected by overload resolution
for an operator @,
x @ y
is interpreted as
0 @ (y <=> x)
if the selected candidate is a synthesized candidate
with reversed order of parameters,
or (x <=> y) @ 0 otherwise,
using the selected rewritten operator<=> candidate.

Rewritten candidates for the operator @
are not considered in the context of the resulting expression.

If a rewritten operator== candidate
is selected by overload resolution
for an operator @,
its return type shall be cv bool, and
x @ y is interpreted as:

- if @ is != and the selected candidate is a synthesized candidate with reversed order of parameters, !(y == x),
- otherwise, if @ is !=, !(x == y),
- otherwise (when @ is ==), y == x,

If a built-in candidate is selected by overload resolution, the
operands of class type are converted to the types of the corresponding parameters
of the selected operation function, except that the second standard conversion
sequence of a user-defined conversion sequence is not applied.

Then the operator is treated as the corresponding
built-in operator and interpreted according to [expr.compound].

[*Example 4*: struct X {
operator double();
};
struct Y {
operator int*();
};
int *a = Y() + 100.0; // error: pointer arithmetic requires integral operand
int *b = Y() + X(); // error: pointer arithmetic requires integral operand
— *end example*]

If the operator is the operator
,,
the unary operator
&,
or the operator
->,
and there are no viable functions, then the operator is
assumed to be the built-in operator and interpreted according to
[expr.compound].

[*Note 3*: *end note*]

The lookup rules for operators in expressions are different than
the lookup
rules for operator function names in a function call, as shown in the following
example:
struct A { };
void operator + (A, A);
struct B {
void operator + (B);
void f ();
};
A a;
void B::f() {
operator+ (a,a); // error: global operator hidden by member
a + a; // OK, calls global operator+
}

— When objects of class type are direct-initialized,
copy-initialized from an expression of the same or a
derived class type ([dcl.init]),
or default-initialized,
overload resolution selects the constructor.

For direct-initialization or default-initialization
that is not in the context of copy-initialization, the
candidate functions are
all the constructors of the class of the object being
initialized.

For copy-initialization (including default initialization
in the context of copy-initialization), the candidate functions are all
the converting constructors ([class.conv.ctor]) of that
class.

Under the conditions specified in [dcl.init], as
part of a copy-initialization of an object of class type, a user-defined
conversion can be invoked to convert an initializer expression to the
type of the object being initialized.

Overload resolution is used
to select the user-defined conversion to be invoked.

Assuming that
“*cv1* T” is the type of the object being initialized, with
T
a class type,
the candidate functions are selected as follows:

- When the type of the initializer expression is a class type “cv S”, conversion functions are considered.When initializing a temporary object ([class.mem]) to be bound to the first parameter of a constructor where the parameter is of type “reference to
*cv2*T” and the constructor is called with a single argument in the context of direct-initialization of an object of type “*cv3*T”, the permissible types for explicit conversion functions are the same; otherwise there are none.

Under the conditions specified in [dcl.init], as
part of an initialization of an object of non-class type,
a conversion function can be invoked to convert an initializer
expression of class type to the type of the object
being initialized.

Overload resolution is used to select the
conversion function to be invoked.

Assuming that “cv T” is the
type of the object being initialized,
the candidate functions are selected as follows:

- The permissible types for non-explicit conversion functions are
those that can be converted to type T
via a standard conversion sequence ([over.ics.scs]). For direct-initialization, the permissible types for explicit conversion functions are those that can be converted to type T with a (possibly trivial) qualification conversion ([conv.qual]); otherwise there are none.

Under the conditions specified in [dcl.init.ref], a reference can be bound directly
to the result of applying a conversion
function to an initializer expression.

Overload resolution is used to select the
conversion function to be invoked.

Assuming that “reference to *cv1* T” is the
type of the reference being initialized,
the candidate functions are selected as follows:

- Let R be a set of types including
- “lvalue reference to
*cv2*T2” (when initializing an lvalue reference or an rvalue reference to function) and - “
*cv2*T2” and “rvalue reference to*cv2*T2” (when initializing an rvalue reference or an lvalue reference to function)

The permissible types for non-explicit conversion functions are the members of R where “*cv1*T” is reference-compatible ([dcl.init.ref]) with “*cv2*T2”.For direct-initialization, the permissible types for explicit conversion functions are the members of R where T2 can be converted to type T with a (possibly trivial) qualification conversion ([conv.qual]); otherwise there are none. - “lvalue reference to

When objects of non-aggregate class type T are
list-initialized such that [dcl.init.list] specifies that overload resolution
is performed according to the rules in this subclause
or when forming a list-initialization sequence according to [over.ics.list],
overload resolution selects the constructor in two phases:

- If the initializer list is not empty or T has no default constructor, overload resolution is first performed where the candidate functions are the initializer-list constructors ([dcl.init.list]) of the class T and the argument list consists of the initializer list as a single argument.
- Otherwise, or if no viable initializer-list constructor is found, overload resolution is performed again, where the candidate functions are all the constructors of the class T and the argument list consists of the elements of the initializer list.

In copy-list-initialization, if an explicit constructor is
chosen, the initialization is ill-formed.

[*Note 1*: *end note*]

This differs from other situations ([over.match.ctor], [over.match.copy]),
where only converting constructors are considered for copy-initialization.

This restriction only
applies if this initialization is part of the final result of overload
resolution.

— When resolving a placeholder for a deduced class type ([dcl.type.class.deduct])
where the *template-name* names a primary class template C,
a set of functions and function templates, called the guides of C,
is formed comprising:

- If C is defined, for each constructor of C, a function template with the following properties:
- The template parameters are the template parameters of C followed by the template parameters (including default template arguments) of the constructor, if any.
- The types of the function parameters are those of the constructor.
- The return type is the class template specialization designated by C and template arguments corresponding to the template parameters of C.

- If C is not defined or does not declare any constructors, an additional function template derived as above from a hypothetical constructor C().
- An additional function template derived as above from a hypothetical constructor C(C), called the
*copy deduction candidate*. - For each
*deduction-guide*, a function or function template with the following properties:- The template parameters, if any, and function parameters are those of the
*deduction-guide*.

In addition, if C is defined
and its definition satisfies the conditions for
an aggregate class ([dcl.init.aggr])
with the assumption that any dependent base class has
no virtual functions and no virtual base classes, and
the initializer is a non-empty *braced-init-list* or
parenthesized *expression-list*, and
there are no *deduction-guide**s* for C,
the set contains an additional function template,
called the *aggregate deduction candidate*, defined as follows.

Let be the elements
of the *initializer-list* or
*designated-initializer-list*
of the *braced-init-list*, or
of the *expression-list*.

For each , let be the corresponding aggregate element
of C or of one of its (possibly recursive) subaggregates
that would be initialized by ([dcl.init.aggr]) if

- brace elision is not considered for any aggregate element that has a dependent non-array type or an array type with a value-dependent bound, and
- each non-trailing aggregate element that is a pack expansion is assumed to correspond to no elements of the initializer list, and
- a trailing aggregate element that is a pack expansion is assumed to correspond to all remaining elements of the initializer list (if any).

If there is no such aggregate element for any ,
the aggregate deduction candidate is not added to the set.

The aggregate deduction candidate is derived as above
from a hypothetical constructor ,
where

- if is of array type and
is a
*braced-init-list*or*string-literal*, is an rvalue reference to the declared type of , and - otherwise, is the declared type of ,

In addition,
if C is defined and
inherits constructors ([namespace.udecl])
from a direct base class denoted in the *base-specifier-list*
by a *class-or-decltype* B,
let A be an alias template
whose template parameter list is that of C and
whose *defining-type-id* is B.

If A is a deducible template ([dcl.type.simple]),
the set contains the guides of A
with the return type R of each guide
replaced with typename CC<R>::type given a class template
template <typename> class CC;
whose primary template is not defined and
with a single partial specialization
whose template parameter list is that of A and
whose template argument list is a specialization of A with
the template argument list of A ([temp.dep.type])
having a member typedef type designating a template specialization with
the template argument list of A but
with C as the template.

[*Example 1*: template <typename T> struct B {
B(T);
};
template <typename T> struct C : public B<T> {
using B<T>::B;
};
template <typename T> struct D : public B<T> {};
C c(42); // OK, deduces C<int>
D d(42); // error: deduction failed, no inherited deduction guides
B(int) -> B<char>;
C c2(42); // OK, deduces C<char>
template <typename T> struct E : public B<int> {
using B<int>::B;
};
E e(42); // error: deduction failed, arguments of E cannot be deduced from introduced guides
template <typename T, typename U, typename V> struct F {
F(T, U, V);
};
template <typename T, typename U> struct G : F<U, T, int> {
using G::F::F;
}
G g(true, 'a', 1); // OK, deduces G<char, bool>
— *end example*]

When resolving a placeholder for a deduced class type ([dcl.type.simple])
where the *template-name* names an alias template A,
the *defining-type-id* of A must be of the form
as specified in [dcl.type.simple].

The guides of A are the set of functions or function templates
formed as follows.

For each function or function template f in the guides of
the template named by the *simple-template-id*
of the *defining-type-id*,
the template arguments of the return type of f
are deduced
from the *defining-type-id* of A
according to the process in [temp.deduct.type]
with the exception that deduction does not fail
if not all template arguments are deduced.

If substitution succeeds,
form a function or function template f'
with the following properties and add it to the set
of guides of A:

- If f is a function template, f' is a function template whose template parameter list consists of all the template parameters of A (including their default template arguments) that appear in the above deductions or (recursively) in their default template arguments, followed by the template parameters of f that were not deduced (including their default template arguments), otherwise f' is not a function template.
- The associated constraints ([temp.constr.decl]) are the conjunction of the associated constraints of g and a constraint that is satisfied if and only if the arguments of A are deducible (see below) from the return type.
- If f was generated from a
*deduction-guide*([temp.deduct.guide]), then f' is considered to be so as well.

The arguments of a template A are said to be
deducible from a type T if, given a class template
template <typename> class AA;
with a single partial specialization
whose template parameter list is that of A and
whose template argument list is a specialization of A
with the template argument list of A ([temp.dep.type]),
AA<T> matches the partial specialization.

Initialization and overload resolution are performed as described
in [dcl.init] and [over.match.ctor], [over.match.copy],
or [over.match.list] (as appropriate for the type of initialization
performed) for an object of a hypothetical class type, where
the guides of the template named by the placeholder are considered to be the
constructors of that class type for the purpose of forming an overload
set, and the initializer is provided by the context in which class
template argument deduction was performed.

The following exceptions apply:

- The first phase in [over.match.list] (considering initializer-list constructors) is omitted if the initializer list consists of a single expression of type cv U, where U is, or is derived from, a specialization of the class template directly or indirectly named by the placeholder.
- During template argument deduction for the aggregate deduction candidate, the number of elements in a trailing parameter pack is only deduced from the number of remaining function arguments if it is not otherwise deduced.

If the function or function template was generated from
a constructor or *deduction-guide*
that had an *explicit-specifier*,
each such notional constructor is considered to have
that same *explicit-specifier*.

All such notional constructors are considered to be
public members of the hypothetical class type.

[*Example 2*: template <class T> struct A {
explicit A(const T&, ...) noexcept; // #1
A(T&&, ...); // #2
};
int i;
A a1 = { i, i }; // error: explicit constructor #1 selected in copy-list-initialization during deduction,
// cannot deduce from non-forwarding rvalue reference in #2
A a2{i, i}; // OK, #1 deduces to A<int> and also initializes
A a3{0, i}; // OK, #2 deduces to A<int> and also initializes
A a4 = {0, i}; // OK, #2 deduces to A<int> and also initializes
template <class T> A(const T&, const T&) -> A<T&>; // #3
template <class T> explicit A(T&&, T&&) -> A<T>; // #4
A a5 = {0, 1}; // error: explicit deduction guide #4 selected in copy-list-initialization during deduction
A a6{0,1}; // OK, #4 deduces to A<int> and #2 initializes
A a7 = {0, i}; // error: #3 deduces to A<int&>, #1 and #2 declare same constructor
A a8{0,i}; // error: #3 deduces to A<int&>, #1 and #2 declare same constructor
template <class T> struct B {
template <class U> using TA = T;
template <class U> B(U, TA<U>);
};
B b{(int*)0, (char*)0}; // OK, deduces B<char*>
template <typename T>
struct S {
T x;
T y;
};
template <typename T>
struct C {
S<T> s;
T t;
};
template <typename T>
struct D {
S<int> s;
T t;
};
C c1 = {1, 2}; // error: deduction failed
C c2 = {1, 2, 3}; // error: deduction failed
C c3 = {{1u, 2u}, 3}; // OK, deduces C<int>
D d1 = {1, 2}; // error: deduction failed
D d2 = {1, 2, 3}; // OK, braces elided, deduces D<int>
template <typename T>
struct E {
T t;
decltype(t) t2;
};
E e1 = {1, 2}; // OK, deduces E<int>
template <typename... T>
struct Types {};
template <typename... T>
struct F : Types<T...>, T... {};
struct X {};
struct Y {};
struct Z {};
struct W { operator Y(); };
F f1 = {Types<X, Y, Z>{}, {}, {}}; // OK, F<X, Y, Z> deduced
F f2 = {Types<X, Y, Z>{}, X{}, Y{}}; // OK, F<X, Y, Z> deduced
F f3 = {Types<X, Y, Z>{}, X{}, W{}}; // error: conflicting types deduced; operator Y not considered
— *end example*]

[*Example 3*: template <class T, class U> struct C {
C(T, U); // #1
};
template<class T, class U>
C(T, U) -> C<T, std::type_identity_t<U>>; // #2
template<class V> using A = C<V *, V *>;
template<std::integral W> using B = A<W>;
int i{};
double d{};
A a1(&i, &i); // deduces A<int>
A a2(i, i); // error: cannot deduce V * from i
A a3(&i, &d); // error: #1: cannot deduce (V*, V*) from (int *, double *)
// #2: cannot deduce A<V> from C<int *, double *>
B b1(&i, &i); // deduces B<int>
B b2(&d, &d); // error: cannot deduce B<W> from C<double *, double *>
*end example*]

Possible exposition-only implementation of the above procedure:
// The following concept ensures a specialization of A is deduced.
template <class> class AA;
template <class V> class AA<A<V>> { };
template <class T> concept deduces_A = requires { sizeof(AA<T>); };
// f1 is formed from the constructor #1 of C, generating the following function template
template<class T, class U>
auto f1(T, U) -> C<T, U>;
// Deducing arguments for C<T, U> from C<V *, V*> deduces T as V * and U as V *;
// f1' is obtained by transforming f1 as described by the above procedure.
template<class V> requires deduces_A<C<V *, V *>>
auto f1_prime(V *, V*) -> C<V *, V *>;
// f2 is formed from the deduction-guide #2 of C
template<class T, class U> auto f2(T, U) -> C<T, std::type_identity_t<U>>;
// Deducing arguments for C<T, std::type_identity_t<U>> from C<V *, V*> deduces T as V *;
// f2' is obtained by transforming f2 as described by the above procedure.
template<class V, class U>
requires deduces_A<C<V *, std::type_identity_t<U>>>
auto f2_prime(V *, U) -> C<V *, std::type_identity_t<U>>;
// The following concept ensures a specialization of B is deduced.
template <class> class BB;
template <class V> class BB<B<V>> { };
template <class T> concept deduces_B = requires { sizeof(BB<T>); };
// The guides for B derived from the above f1' and f2' for A are as follows:
template<std::integral W>
requires deduces_A<C<W *, W *>> && deduces_B<C<W *, W *>>
auto f1_prime_for_B(W *, W *) -> C<W *, W *>;
template<std::integral W, class U>
requires deduces_A<C<W *, std::type_identity_t<U>>> &&
deduces_B<C<W *, std::type_identity_t<U>>>
auto f2_prime_for_B(W *, U) -> C<W *, std::type_identity_t<U>>;

—