Re: What type "T" or "auto" should I use for i?

From:
=?ISO-8859-1?Q?Daniel_Kr=FCgler?= <daniel.kruegler@googlemail.com>
Newsgroups:
comp.lang.c++.moderated
Date:
Fri, 13 Apr 2012 15:11:06 -0700 (PDT)
Message-ID:
<jm9tqv$93h$1@dont-email.me>
Am 13.04.2012 20:49, schrieb Thiago Adams:

What type "T" or "auto" should I use for i? - C++ 11 allowed


I don't think that 'auto' is appropriate here, because it would simply
select the type of the initializer (which is int here). If I understood
your question correctly, you should use a deduction based on decltype:

template<class number>
bool is_zero(const number& n)
{
    for (T i = 0 ; i< n.digits(); i++)
    {
      if (n[i] != 0)
        return false;
    }
    return true;
}


To me a natural deduction would be something like

using T = decltype(n.digits());

justs before the loop. It reflects the fact, that T would always contain
a value that fits into what n.digits() returns. Any comparison like

if (n[i] != 0)

looks fine to me, even though one might consider to select the more
generic form

if (n[i])

The objective is to have a correct and fast code.

Mathematically speaking, the value returned by digits() and the value
of i are both positives integers.


Would you think that e.g.

using T = decltype(n.digits());

would have possible disadvantages in this regard?

The value returned in digits() can be converted/stored inside a
computer
using some integral type available in the C++ language.


This sounds as if you would consider return types of n.digits() that are
user-defined *and* that very badly choices in a loop. Am I understanding
you right?

The type used to index operator [](type index) is also some C++
integral type.

I have control about the "number concept", but I don't want to add
"computer" details.
For instance, I could add to the type the maximum number of digits
allowed.

struct number {
static const some_integral_type max_digits = some_value;
}
but I don't want to add typedefs like size_t, bits and bytes.
I want to find out the best types based on math requirements,
using traits, decltype etc..


If you think that in general decltype(n.digits()) is a good choice, but
for some types might be bad in this algorithm, you could define a trait
with a default value, e.g.

template<class number>
struct your_number_traits {
  using type = decltype(std::declval<const number&>.digits());
};

then write

template<class number>
bool is_zero(const number& n)
{
   using T = typename your_number_traits<number>::type;
   for (T i = 0 ; i < n.digits(); i++)
   {
     if (n[i] != 0)
       return false;
   }
   return true;
}

Now user-code does not need to do anything, unless the default is not
the best choice, so they could specialize the trait. The good news are
that for most situations, user-code needs not to care about the trait.

I did not really understand your corresponding discussion about the
return type of n[i]. If your question is: I want an optimal comparison
against some null concept, you could extend above trait with a second
default member, e.g.

template<class number>
struct your_number_traits {
  using type = decltype(std::declval<const number&>.digits());
  static bool is_zero(const number& n, const type& i)
  { return n[i] != 0; }
};

HTH & Greetings from Bremen,

Daniel Kr?gler

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