fabs, fabsf, fabsl, fabsd32, fabsd64, fabsd128

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Common mathematical functions
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(C99)
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Classification
Macro constants
Special floating-point values
Arguments and return values
Error handling
Defined in header <math.h>
float fabsf ( float arg ) ;
(1) (since C99)
double fabs ( double arg ) ;
(2)
long double fabsl ( long double arg ) ;
(3) (since C99)
_Decimal32  fabsd32 ( _Decimal32 arg ) ;
(4) (since C23)
_Decimal64  fabsd64 ( _Decimal64 arg ) ;
(5) (since C23)
_Decimal128 fabsd128 ( _Decimal128 arg ) ;
(6) (since C23)
Defined in header <tgmath.h>
#define fabs( arith )
(7) (since C99)
1-6) Computes the absolute value of a floating-point value arg .

The functions with decimal floating-point parameters are declared if and only if the implementation predefines __STDC_IEC_60559_DFP__ (i.e. the implementation supports decimal floating-point numbers).

(since C23)
7) Type-generic macro: If the argument has type _Decimal128 , _Decimal64 , _Decimal32 , (since C23) long double , double , or float , fabsd128 , fabsd64 , fabsd32 , (since C23) fabsl , fabs , or fabsf is called, respectively. Otherwise, if the argument has integer type, fabs is called. Otherwise, if the argument is complex, then the macro invokes the corresponding complex function ( cabsf , cabs , cabsl ). Otherwise, the behavior is undefined.

Parameters

arg - floating-point value
arith - floating-point or integer value

Return value

If successful, returns the absolute value of arg ( |arg| ). The value returned is exact and does not depend on any rounding modes.

Error handling

This function is not subject to any of the error conditions specified in math_errhandling .

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

  • If the argument is ±0, +0 is returned
  • If the argument is ±∞, +∞ is returned
  • If the argument is NaN, NaN is returned

Example

#include <math.h>
#include <stdio.h>
 
#define PI 3.14159
 
// This numerical integration assumes all area is positive.
double integrate(double f(double),
                 double a, double b, // assume a < b
                 unsigned steps) // assume steps > 0
{
    const double dx = (b - a) / steps;
    double sum = 0.0;
    for (double x = a; x < b; x += dx)
        sum += fabs(f(x));
    return dx * sum;
}
 
int main(void)
{
    printf("fabs(+3) = %f\n", fabs(+3.0));
    printf("fabs(-3) = %f\n", fabs(-3.0));
    // special values
    printf("fabs(-0) = %f\n", fabs(-0.0));
    printf("fabs(-Inf) = %f\n", fabs(-INFINITY));
 
    printf("Area under sin(x) in [-PI, PI] = %f\n", integrate(sin, -PI, PI, 5101));
}

Output:

fabs(+3) = 3.000000
fabs(-3) = 3.000000
fabs(-0) = 0.000000
fabs(-Inf) = inf
Area under sin(x) in [-PI, PI] = 4.000000

References

  • C23 standard (ISO/IEC 9899:2024):
  • 7.12.7.2 The fabs functions (p: TBD)
  • 7.25 Type-generic math <tgmath.h> (p: TBD)
  • F.10.4.2 The fabs functions (p: TBD)
  • C17 standard (ISO/IEC 9899:2018):
  • 7.12.7.2 The fabs functions (p: 181)
  • 7.25 Type-generic math <tgmath.h> (p: 272-273)
  • F.10.4.2 The fabs functions (p: 382)
  • C11 standard (ISO/IEC 9899:2011):
  • 7.12.7.2 The fabs functions (p: 248)
  • 7.25 Type-generic math <tgmath.h> (p: 373-375)
  • F.10.4.2 The fabs functions (p: 524)
  • C99 standard (ISO/IEC 9899:1999):
  • 7.12.7.2 The fabs functions (p: 228-229)
  • 7.22 Type-generic math <tgmath.h> (p: 335-337)
  • F.9.4.2 The fabs functions (p: 460)
  • C89/C90 standard (ISO/IEC 9899:1990):
  • 4.5.6.2 The fabs function

See also

computes absolute value of an integral value ( |x| )
(function)
produces a value with the magnitude of a given value and the sign of another given value
(function)
(C99)
checks if the given number is negative
(function macro)
(C99) (C99) (C99)
computes the magnitude of a complex number
(function)