Re: Minimum value of floating point types.

From:
Victor Bazarov <v.Abazarov@comAcast.net>
Newsgroups:
comp.lang.c++
Date:
Thu, 08 Oct 2009 07:56:29 -0400
Message-ID:
<hakk11$7dh$1@news.datemas.de>
Fred Zwarts wrote:

In a template function I need the minimum and maximum value of the valid range of values of a type.
For integer types I can use std::numeric_limits<Type>::min () and std::numeric_limits<Type>::max () for this purpose.
But this template function is also used for floating point types.
For floating point types std::numeric_limits<Type>::min () does not return what it suggests, the minimum value,
but it returns the smallest value larger than 0. (I wonder why this confusion was introduced.)
My question is how to find the real minimum value in such cases.
Is -std::numeric_limits<Type>::max () a good choice?


Yes. The difference between FP reps and integral reps is that the FP
ones are symmetrical AFA the sign goes. Integrals aren't necessarily
such. For example, in 2's complement INT_MIN != -INT_MAX.

I know that for signed integer types the assumption that
-std::numeric_limits<Type>::max () is the most negative valid value for that type
is often wrong. How is that for floating point types?


It is that for floating point types.

Would the following code in a template function result in the best value?

    Type RealMinimun = std::numeric_limits<Type>::min () > 0 ? // Test for floating point type
        -std::numeric_limits<Type>::max () // Floating point minimum
        : std::numeric_limits<Type>::min (); // Integer minimum

This results in a compiler warning when the template is instantiated for unsigned integer types,
which should not be negated.
I can ignore this warning, because the negation is not used in this case.


Why don't you write a function per type?

template<class T> T getRealMinimum();

template<> double getRealMinimum<double>() {
     return -std::numeric_limits<double>::max();
}

template<> int getRealMinimum<int>() {
     return std::numeric_limits<int>::min();
}

... and so on

Then you can simply pass the 'Type' onto that:

     Type RealMinimum = getRealMinimum<Type>();

V
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