# cabs, cabsl

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math.h

Category

Math Routines

Prototype

double cabs(struct complex z);

long double cabsl(struct _complexl z);

Description

cabs calculates the absolute value of a complex number. cabs is a macro that calculates the absolute value of z, a complex number. z is a structure with type complex; the structure is defined in math.h as

struct complex {

double x, y;

};

where x is the real part, and y is the imaginary part.

Calling cabs is equivalent to calling sqrt with the real and imaginary components of z, as shown here:

sqrt(z.x * z.x + z.y * z.y)

cabsl is the long double version; it takes a structure with type _complexl as an argument, and returns a long double result. The structure is defined in math.h as

struct _complexl {

long double x, y;

};

Return Value

cabs (or cabsl) returns the absolute value of z, a double. On overflow, cabs (or cabsl) returns HUGE_VAL (or _LHUGE_VAL) and sets the global variable errno to

 ERANGE Result out of range

Error handling for these functions can be modified through the functions _matherr and _matherrl.

Example

``` #include <stdio.h>
#include <math.h>
#ifdef __cplusplus
#include <complex.h>
#endif
#ifdef __cplusplus /* if C++, use class complex */
void print_abs(void)
{
complex<float> z(1.0, 2.0);
double  absval;
absval = abs(z);
printf("The absolute value of %.2lfi %.2lfj is %.2lf",
real(z), imag(z), absval);
}
#else  /* below function is for C (and not C++) */
void print_abs(void)
{
struct complex z;
double absval;
z.x = 2.0;
z.y = 1.0;
absval = cabs(z);
printf("The absolute value of %.2lfi %.2lfj is %.2lf",
z.x, z.y, absval);
}
#endif
int main(void)
{
print_abs();
return 0;
}
```

Portability

POSIX Win32 ANSI C ANSI C++

cabs

+

cabsl

+