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Difference between revisions of "cpp/numeric/math/fdim"

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< cpp‎ | numeric‎ | math
m (.)
 
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{{cpp/title|fdim|fdimf|fdiml}}
 
{{cpp/title|fdim|fdimf|fdiml}}
 
{{cpp/numeric/math/navbar}}
 
{{cpp/numeric/math/navbar}}
{{dcl begin}}
+
{{cpp/numeric/math/declarations
{{dcl header|cmath}}
+
|family=fdim
{{dcl rev multi|num=1|since1=c++11|dcl1=
+
|param1=x
float      fdim ( float x, float y );
+
|param2=y
double      fdim ( double x, double y );
+
|constexpr_since=23
long double fdim ( long double x, long double y );
+
|desc=Returns the positive difference between {{c|x}} and {{c|y}}, that is, if {{c|x > y}}, returns {{c|x - y}}, otherwise (i.e. if {{c|1=x <= y}}) returns {{c|+0}}.
|since2=c++23|dcl2=
+
constexpr /* floating-point-type */
+
            fdim ( /* floating-point-type */ x,
+
                  /* floating-point-type */ y );
+
 
}}
 
}}
{{dcl|num=2|since=c++11|notes={{mark|constexpr since C++23}}|
 
float      fdimf( float x, float y );
 
}}
 
{{dcl|num=3|since=c++11|notes={{mark|constexpr since C++23}}|
 
long double fdiml( long double x, long double y );
 
}}
 
{{dcl h|[[#Notes|Additional overloads]]}}
 
{{dcl header|cmath}}
 
{{dcl|num=A|since=c++11|notes={{mark|constexpr since C++23}}|
 
template< class Arithmetic1, class Arithmetic2 >
 
/* common-floating-point-type */ fdim( Arithmetic1 x, Arithmetic2 y );
 
}}
 
{{dcl end}}
 
 
@1-3@ Returns the positive difference between {{c|x}} and {{c|y}}, that is, if {{c|x > y}}, returns {{c|x - y}}, otherwise (i.e. if {{c|1=x <= y}}) returns {{c|+0}}.{{rev inl|since=c++23| The library provides overloads of {{tt|std::fdim}} for all cv-unqualified floating-point types as the type of the parameters {{c|x}} and {{c|y}}.}}
 
@A@ Additional overloads are provided for all other combinations of arithmetic types.
 
  
 
===Parameters===
 
===Parameters===
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If the implementation supports IEEE floating-point arithmetic (IEC 60559),
 
If the implementation supports IEEE floating-point arithmetic (IEC 60559),
* If either argument is NaN, NaN is returned
+
* If either argument is NaN, NaN is returned.
  
 
===Notes===
 
===Notes===
Line 67: Line 47:
 
int main()
 
int main()
 
{
 
{
     std::cout << "fdim(4, 1) = " << std::fdim(4, 1)
+
     std::cout << "fdim(4, 1) = " << std::fdim(4, 1) << '\n'
               << " fdim(1, 4) = " << std::fdim(1, 4) << '\n'
+
               << "fdim(1, 4) = " << std::fdim(1, 4) << '\n'
               << "fdim(4,-1) = " << std::fdim(4, -1)
+
               << "fdim(4,-1) = " << std::fdim(4, -1) << '\n'
               << " fdim(1,-4) = " << std::fdim(1, -4) << '\n';
+
               << "fdim(1,-4) = " << std::fdim(1, -4) << '\n';
 
      
 
      
 
     // error handling  
 
     // error handling  
Line 84: Line 64:
 
}
 
}
 
|output=
 
|output=
fdim(4, 1) = 3 fdim(1, 4) = 0
+
fdim(4, 1) = 3
fdim(4,-1) = 5 fdim(1,-4) = 5
+
fdim(1, 4) = 0
 +
fdim(4,-1) = 5
 +
fdim(1,-4) = 5
 
fdim(1e308, -1e308) = inf
 
fdim(1e308, -1e308) = inf
 
     errno == ERANGE: Numerical result out of range
 
     errno == ERANGE: Numerical result out of range

Latest revision as of 09:22, 15 October 2023

 
 
 
 
Defined in header <cmath>
(1)
float       fdim ( float x, float y );

double      fdim ( double x, double y );

long double fdim ( long double x, long double y );
(until C++23)
constexpr /* floating-point-type */

            fdim ( /* floating-point-type */ x,

                   /* floating-point-type */ y );
(since C++23)
float       fdimf( float x, float y );
(2) (since C++11)
(constexpr since C++23)
long double fdiml( long double x, long double y );
(3) (since C++11)
(constexpr since C++23)
Additional overloads (since C++11)
Defined in header <cmath>
template< class Integer >
double      fdim ( Integer x, Integer y );
(A) (constexpr since C++23)
1-3) Returns the positive difference between x and y, that is, if x > y, returns x - y, otherwise (i.e. if x <= y) returns +0. The library provides overloads of std::fdim for all cv-unqualified floating-point types as the type of the parameters.(since C++23)
A) Additional overloads are provided for all integer types, which are treated as double.
(since C++11)

Contents

[edit] Parameters

x, y - floating-point or integer values

[edit] Return value

If successful, returns the positive difference between x and y.

If a range error due to overflow occurs, +HUGE_VAL, +HUGE_VALF, or +HUGE_VALL is returned.

If a range error due to underflow occurs, the correct value (after rounding) is returned.

[edit] Error handling

Errors are reported as specified in math_errhandling.

If the implementation supports IEEE floating-point arithmetic (IEC 60559),

  • If either argument is NaN, NaN is returned.

[edit] Notes

Equivalent to std::fmax(x - y, 0), except for the NaN handling requirements.

The additional overloads are not required to be provided exactly as (A). They only need to be sufficient to ensure that for their first argument num1 and second argument num2:

  • If num1 or num2 has type long double, then std::fdim(num1, num2) has the same effect as std::fdim(static_cast<long double>(num1),
              static_cast<long double>(num2))
    .
  • Otherwise, if num1 and/or num2 has type double or an integer type, then std::fdim(num1, num2) has the same effect as std::fdim(static_cast<double>(num1),
              static_cast<double>(num2))
    .
  • Otherwise, if num1 or num2 has type float, then std::fdim(num1, num2) has the same effect as std::fdim(static_cast<float>(num1),
              static_cast<float>(num2))
    .
(until C++23)

If num1 and num2 have arithmetic types, then std::fdim(num1, num2) has the same effect as std::fdim(static_cast</* common-floating-point-type */>(num1),
          static_cast</* common-floating-point-type */>(num2))
, where /* common-floating-point-type */ is the floating-point type with the greatest floating-point conversion rank and greatest floating-point conversion subrank between the types of num1 and num2, arguments of integer type are considered to have the same floating-point conversion rank as double.

If no such floating-point type with the greatest rank and subrank exists, then overload resolution does not result in a usable candidate from the overloads provided.

(since C++23)

[edit] Example

#include <cerrno>
#include <cfenv>
#include <cmath>
#include <cstring>
#include <iostream>
 
#ifndef __GNUC__
#pragma STDC FENV_ACCESS ON
#endif
 
int main()
{
    std::cout << "fdim(4, 1) = " << std::fdim(4, 1) << '\n'
              << "fdim(1, 4) = " << std::fdim(1, 4) << '\n'
              << "fdim(4,-1) = " << std::fdim(4, -1) << '\n'
              << "fdim(1,-4) = " << std::fdim(1, -4) << '\n';
 
    // error handling 
    errno = 0;
    std::feclearexcept(FE_ALL_EXCEPT);
 
    std::cout << "fdim(1e308, -1e308) = " << std::fdim(1e308, -1e308) << '\n';
 
    if (errno == ERANGE)
        std::cout << "    errno == ERANGE: " << std::strerror(errno) << '\n';
    if (std::fetestexcept(FE_OVERFLOW))
        std::cout << "    FE_OVERFLOW raised\n";
}

Output:

fdim(4, 1) = 3
fdim(1, 4) = 0
fdim(4,-1) = 5
fdim(1,-4) = 5
fdim(1e308, -1e308) = inf
    errno == ERANGE: Numerical result out of range
    FE_OVERFLOW raised

[edit] See also

computes absolute value of an integral value (|x|)
(function) [edit]
(C++11)(C++11)(C++11)
larger of two floating-point values
(function) [edit]