cabsf, cabs, cabsl

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C
Numerics
Complex number arithmetic
Types and the imaginary constant
Manipulation
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(C99)
(C99)
cabs
(C99)
(C99)
(C99)
Power and exponential functions
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Trigonometric functions
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Hyperbolic functions
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Defined in header <complex.h>
float cabsf ( float complex z ) ;
(1) (since C99)
double cabs ( double complex z ) ;
(2) (since C99)
long double cabsl ( long double complex z ) ;
(3) (since C99)
Defined in header <tgmath.h>
#define fabs( z )
(4) (since C99)
1-3) Computes the complex absolute value (also known as norm, modulus, or magnitude) of z .
4) Type-generic macro: if z has type long double complex or long double imaginary , cabsl is called. If z has type float complex or float imaginary , cabsf is called. If z has type double complex or double imaginary , cabs is called. For real and integer types, the corresponding version of fabs is called.

Parameters

z - complex argument

Return value

If no errors occur, returns the absolute value (norm, magnitude) of z .

Errors and special cases are handled as if the function is implemented as hypot ( creal ( z ) , cimag ( z ) )

Example

Run this code 
#include <stdio.h>
#include <complex.h>
 
int main(void)
{
    double complex z = 1.0 + 1.0*I;
    printf("%.1f%+.1fi cartesian is rho=%f theta=%f polar\n",
           creal(z), cimag(z), cabs(z), carg(z));
}

Output: 

1.0+1.0i cartesian is rho=1.414214 theta=0.785398 polar

References

  • C11 standard (ISO/IEC 9899:2011):
  • 7.3.8.1 The cabs functions (p: 195)
  • 7.25 Type-generic math <tgmath.h> (p: 373-375)
  • G.7 Type-generic math <tgmath.h> (p: 545)
  • C99 standard (ISO/IEC 9899:1999):
  • 7.3.8.1 The cabs functions (p: 177)
  • 7.22 Type-generic math <tgmath.h> (p: 335-337)
  • G.7 Type-generic math <tgmath.h> (p: 480)

See also

(C99) (C99) (C99)
computes the phase angle of a complex number
(function)
(C99)
computes absolute value of an integral value ( |x| )
(function)
(C99) (C99)
computes absolute value of a floating-point value ( |x| )
(function)
(C99) (C99) (C99)
computes square root of the sum of the squares of two given numbers ( √ x 2 +y 2 )
(function)
C++ documentation for abs
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