Re: confused by template type parameter deduction for std::complex

From:
=?UTF-8?B?RGFuaWVsIEtyw7xnbGVy?= <daniel.kruegler@googlemail.com>
Newsgroups:
comp.lang.c++.moderated
Date:
Fri, 25 May 2012 01:20:44 -0700 (PDT)
Message-ID:
<jpn8vu$18k$1@dont-email.me>
On 2012-05-25 06:30, ??? ??? wrote:

Let me nit-pick first that this program is already ill-formed
because there is no guarantee for the declaration of a function sqrt
being available. I'm adding an assumed

#include<math.h>


Thanks. Would it be better to #include<cmath> then?


Presumably yes, but I didn't do so, because in your original program you
were referring to sqrt, not std::sqrt, therefore the minimum necessary
change was to add <math.h>. If using <cmath>, you better refer to
std::sqrt, anything else would be non-portable.

You are correct. Note also that in C++03 the function call
std::pow(c,1./2) would be ambiguous, because the compiler wouldn't
find a single best match for this overload set:

template<class T> complex<T> pow(const complex<T>&, int);
template<class T> complex<T> pow(const complex<T>&, const T&);
template<class T> complex<T> pow(const complex<T>&, const complex<T>&);
template<class T> complex<T> pow(const T&, const complex<T>&);

Ignoring the last one, either of

template<> complex<float> pow(const complex<float>&, int);
template<> complex<float> pow(const complex<float>&, const float&);
template<> complex<double> pow(const complex<double>&, const
complex<double>&);

would be considered and none (especially of the first two) is better
than the other compared to the arguments const std::complex<float>
and double.


I have questions. I do not see how did you get the candidate
functions.
Especially how did you get the complex<double> specialization.
My understanding is that for function templates, parameter deduction
comes first, which for this set of function templates, is
(1) for
          template<class T> complex<T> pow(const complex<T>&, int);
      T is deduced as float from the actual argument c and the deduction
      finished, so the deduction succeeded and this adds
          template<> complex<float> pow(const complex<float>&, int);
      to the candidate function set.


Correct.

(2) for
          template<class T> complex<T> pow(const complex<T>&, const T&);
      T is again deduced as float from c and as double from 1./2
      therefore, the deduction failed as T cannot be consistently
      deduced. so this one produces no functions.
(3) for
          template<class T> complex<T> pow(const complex<T>&, const
complex<T>&);
      T is deduced as float from c and failed for 1./2 because there is
      no type such that complex<type> would match double. therefore,
      deduction failed and this adds no function to the candidate set.

Now overload resolution takes place, it sees only
          template<> complex<float> pow(const complex<float>&, int);

and noticed that double has implicit conversion to int. This is to say
this call is valid if only those four function templates are
considered.
I am learning template deduction rules and how they work in action.
I appreciate if you can point me with detailed explanation where I was
wrong in my logic. Thanks.


You are right, my explanation was incorrect. Some library
implementations did indeed provide overloads of the pow template instead
of the declared templates. In this case the call were ambiguous. If they
templates were declared, the selected overload should be

template<class T> complex<T> pow(const complex<T>&, int);

as you say. And the fact that some libraries provided those overloads is
non-conforming, but I think this was already done to realize the
additional overload requests from TR1. This should teach me that my own
prejudice is an easy trap for another incorrect conclusion chain - my
apologies for that.

Your deduction chain is wrong.


So were mine ;-)

Great, I did not read this part. Given this list, is there any special
reason to list the three overloads of pow in [complex.syn]? I ask as
this is confusing because when I read that part, I thought those three
are all that offered as (it seems) in the case of c++03.


I certainly agree that the editorial representation could be improved.
But I think that it is general the right decision to list the templates
at that point, because otherwise people might miss these functions from
the synopsis.

The explicit template parameter does not solve the problem. In C++03
it would still be ambiguous because of the three overloads

template<> complex<float> pow(const complex<float>&, int);
template<> complex<float> pow(const complex<float>&, const float&);
template<> complex<float> pow(const complex<float>&, const

complex<float>&);

In C++11 the code behaviour is unspecified, because from above
wording in [cmplx.over] p3 there is an unspecified number of further
functions or function templates implied. Don't write it that way in
portable code.


Sure, after reading [cmplx.over].

IMO this behaviour is incorrect. In C++03 this should be ambigious as
explained above.


Here I was wrong for the same reasons as mentioned above.

HTH & Greetings from Bremen,

Daniel Kr??gler

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