cabsf, cabs, cabsl

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Numerics

Common mathematical functions
Floating-point environment(C99)
Pseudo-random number generation
Complex number arithmetic(C99)
Type-generic math(C99)
Bit manipulation(C23)
Checked integer arithmetic(C23)

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Complex number arithmetic

Types and the imaginary constant

complex (C99)
_Complex_I (C99)
CMPLX (C11)

imaginary (C99)
_Imaginary_I (C99)
I (C99)

Manipulation

cimag (C99)
creal (C99)
carg (C99)

cabs (C99)
conj (C99)
cproj (C99)

Power and exponential functions

cexp (C99)
clog (C99)

cpow (C99)
csqrt (C99)

Trigonometric functions

ccos (C99)
csin (C99)
ctan (C99)

cacos (C99)
casin (C99)
catan (C99)

Hyperbolic functions

ccosh (C99)
csinh (C99)
ctanh (C99)

cacosh (C99)
casinh (C99)
catanh (C99)

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Defined in header`<complex.h>`
float cabsf(floatcomplex z);	(1)	(since C99)
double cabs(doublecomplex z);	(2)	(since C99)
longdouble cabsl(longdoublecomplex 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) ofz.

4) Type-generic macro: ifz has typelongdoublecomplex orlongdoubleimaginary,cabsl is called. Ifz has typefloatcomplex orfloatimaginary,cabsf is called. Ifz has typedoublecomplex ordoubleimaginary,cabs is called. For real and integer types, the corresponding version offabs is called.

[edit]Parameters

complex argument

[edit]Return value

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

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

[edit]Example

Run this code

#include <stdio.h>#include <complex.h> int main(void){doublecomplex 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

cargcargfcargl (C99)(C99)(C99)	computes the phase angle of a complex number (function)[edit]
abslabsllabs (C99)	computes absolute value of an integral value (\(\small{\|x\|}\)\|x\|) (function)[edit]
fabsfabsffabsl (C99)(C99)	computes absolute value of a floating-point value (\(\small{\|x\|}\)\|x\|) (function)[edit]
hypothypotfhypotl (C99)(C99)(C99)	computes square root of the sum of the squares of two given numbers (\(\scriptsize{\sqrt{x^2+y^2} }\)√x2 +y2 ) (function)[edit]
C++ documentation forabs