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Some confusion about the transformed function type during partial ordering

From: jim x <xmh970252187_at_[hidden]>
Date: Wed, 16 Sep 2020 17:06:36 +0800
Hi, everyone.

According to the following rules:
Two sets of types are used to determine the partial ordering. For each of
the templates involved there is the* original function type *and the
*transformed
function type*. [ Note: The creation of the transformed type is described
in [temp.func.order]
<https://timsong-cpp.github.io/cppwp/n4659/temp.func.order>. — end note ]
The deduction process uses the transformed type as the argument template
and the original type of the other template as the parameter template.

And the transformed processes are described as the following:

To produce the transformed template, for each type, non-type, or template
template parameter (including template parameter packs
<https://timsong-cpp.github.io/cppwp/n4659/temp.variadic#def:template_parameter_pack>
thereof)
synthesize a unique type, value, or class template respectively and
substitute it for each occurrence of that parameter in the function type of
the template. [ Note: The type replacing the placeholder in the type of the
value synthesized for a non-type template parameter is also a unique
synthesized type. — end note ] *If only one of the function templates **M is
a non-static member of some class A, M is considered to have a new first
parameter inserted in its function parameter list. Given cv as the
cv-qualifiers of M (if any), the new parameter is of type “rvalue reference
to cv A” if the optional ref-qualifier
<https://timsong-cpp.github.io/cppwp/n4659/dcl.decl#nt:ref-qualifier>
of M is && or
if M has no ref-qualifier
<https://timsong-cpp.github.io/cppwp/n4659/dcl.decl#nt:ref-qualifier> and
the first parameter of the other template has rvalue reference type.
Otherwise, the new parameter is of type “lvalue reference to cv A”. *

So, I have a confusion here, Is the "first parameter inserted in its
function parameter list" considered as the process for making transformed
function type? If it is, how to interpret this example:

struct A { };
template<class T> struct B {
    template<class R> int operator*(R&); // #1
};
template<class T, class R> int operator*(T&, R&); // #2

when during the partial ordering, the original type for `#1` is `int(R&)`,
the transformed type for `#1` is `int(B<T>&, R&)` and, the original type
and transformed type for `#2` are all `int(T&,R&)`. That means, the
original type for `#1` does not have the same number parameters as that of
transformed type for `#2`.

Hence, my question is , Is the result of the process which is bolded in the
above rule considered as the original type or as the transformed type? If
it is a later case, how to interpret the above example?

Received on 2020-09-16 04:06:52