# ATAN2

NAME

SYNOPSIS

DESCRIPTION

RETURN VALUE

ERRORS

ATTRIBUTES

CONFORMING TO

SEE ALSO

COLOPHON

## NAME

atan2, atan2f,
atan2l − arc tangent function of two variables

## SYNOPSIS

**#include
<math.h>**

**double
atan2(double** *y***, double** *x***); **

float atan2f(float *y***, float** *x***);
**

long double atan2l(long double *y***, long
double** *x***);**

Link with
*−lm*.

Feature Test
Macro Requirements for glibc (see
**feature_test_macros**(7)):

**atan2f**(),
**atan2l**():

_BSD_SOURCE || _SVID_SOURCE ||
_XOPEN_SOURCE >= 600 || _ISOC99_SOURCE ||
_POSIX_C_SOURCE >= 200112L;

or *cc -std=c99*

## DESCRIPTION

The
**atan2**() function calculates the principal value of
the arc tangent of *y/x*, using the signs of the two
arguments to determine the quadrant of the result.

## RETURN VALUE

On success,
these functions return the principal value of the arc
tangent of *y/x* in radians; the return value is in the
range [−pi, pi].

If *y* is
+0 (−0) and *x* is less than 0, +pi (−pi)
is returned.

If *y* is
+0 (−0) and *x* is greater than 0, +0 (−0)
is returned.

If *y* is
less than 0 and *x* is +0 or −0, −pi/2 is
returned.

If *y* is
greater than 0 and *x* is +0 or −0, pi/2 is
returned.

If either
*x* or *y* is NaN, a NaN is returned.

If *y* is
+0 (−0) and *x* is −0, +pi (−pi) is
returned.

If *y* is
+0 (−0) and *x* is +0, +0 (−0) is
returned.

If *y* is
a finite value greater (less) than 0, and *x* is
negative infinity, +pi (−pi) is returned.

If *y* is
a finite value greater (less) than 0, and *x* is
positive infinity, +0 (−0) is returned.

If *y* is
positive infinity (negative infinity), and *x* is
finite, pi/2 (−pi/2) is returned.

If *y* is
positive infinity (negative infinity) and *x* is
negative infinity, +3*pi/4 (−3*pi/4) is returned.

If *y* is
positive infinity (negative infinity) and *x* is
positive infinity, +pi/4 (−pi/4) is returned.

## ERRORS

No errors
occur.

## ATTRIBUTES

For an
explanation of the terms used in this section, see
**attributes**(7).

## CONFORMING TO

C99,
POSIX.1-2001. The variant returning *double* also
conforms to SVr4, 4.3BSD, C89.

## SEE ALSO

**acos**(3),
**asin**(3), **atan**(3), **carg**(3),
**cos**(3), **sin**(3), **tan**(3)

## COLOPHON

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part of release 3.53 of the Linux *man-pages* project.
A description of the project, and information about
reporting bugs, can be found at
http://www.kernel.org/doc/man−pages/.