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FP_NORMAL, FP_SUBNORMAL, FP_ZERO, FP_INFINITE, FP_NAN

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FP_NORMALFP_SUBNORMALFP_ZEROFP_INFINITEFP_NAN
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Defined in header <cmath>
#define FP_NORMAL    /* implementation defined */
(since C++11)
#define FP_SUBNORMAL /* implementation defined */
(since C++11)
#define FP_ZERO      /* implementation defined */
(since C++11)
#define FP_INFINITE  /* implementation defined */
(since C++11)
#define FP_NAN       /* implementation defined */
(since C++11)

The FP_NORMAL, FP_SUBNORMAL, FP_ZERO, FP_INFINITE, FP_NAN macros each represent a distinct category of floating-point numbers. They all expand to an integer constant expression.

Constant Explanation
FP_NORMAL indicates that the value is normal, i.e. not an infinity, subnormal, not-a-number or zero
FP_SUBNORMAL indicates that the value is subnormal
FP_ZERO indicates that the value is positive or negative zero
FP_INFINITE indicates that the value is not representable by the underlying type (positive or negative infinity)
FP_NAN indicates that the value is not-a-number (NaN)

[edit] Example

Run this code
#include <cfloat>
#include <cmath>
#include <iostream>
 
auto show_classification(double x)
{
 switch (std::fpclassify (x))
 {
 case FP_INFINITE:
 return "Inf";
 case FP_NAN:
 return "NaN";
 case FP_NORMAL:
 return "normal";
 case FP_SUBNORMAL:
 return "subnormal";
 case FP_ZERO:
 return "zero";
 default:
 return "unknown";
 }
}
 
int main()
{
 std::cout << "1.0/0.0 is " << show_classification(1 / 0.0) << '\n'
 << "0.0/0.0 is " << show_classification(0.0 / 0.0) << '\n'
 << "DBL_MIN/2 is " << show_classification(DBL_MIN / 2) << '\n'
 << "-0.0 is " << show_classification(-0.0) << '\n'
 << "1.0 is " << show_classification(1.0) << '\n';
}

Output:

1.0/0.0 is Inf
0.0/0.0 is NaN
DBL_MIN/2 is subnormal
-0.0 is zero
1.0 is normal

[edit] See also

(C++11)
categorizes the given floating-point value
(function) [edit]
C documentation for FP_categories
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