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Showing content from https://en.cppreference.com/w/cpp/language/../../cpp/../c/header/../numeric/complex/cabs.html below:

cabsf, cabs, cabsl - cppreference.com

(1) (since C99) (2) (since C99) long double cabsl( long double complex z ); (3) (since C99)

#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

long double imaginary

cabsl

is called. If

z

has type

float complex

float imaginary

cabsf

is called. If

z

has type

double complex

double imaginary

cabs

is called. For real and integer types, the corresponding version of

fabs

is called.

[edit] Parameters [edit] 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))

[edit] Example

#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

[edit] 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)

[edit] See also computes the phase angle of a complex number
(function) [edit] computes absolute value of an integral value (\(\small{|x|}\)|x|)
(function) [edit] computes absolute value of a floating-point value (\(\small{|x|}\)|x|)
(function) [edit] computes square root of the sum of the squares of two given numbers (\(\scriptsize{\sqrt{x^2+y^2} }\)âx2 +y2)
(function) [edit]

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