# atan2l (3p) - Linux Manuals

## atan2l: arc tangent functions

## PROLOG

This manual page is part of the POSIX Programmer's Manual. The Linux implementation of this interface may differ (consult the corresponding Linux manual page for details of Linux behavior), or the interface may not be implemented on Linux.## NAME

atan2, atan2f, atan2l - arc tangent functions

## SYNOPSIS

**#include <math.h>
**

**
double atan2(double** *y***, double** *x***);
float atan2f(float**

*y*

**, float**

*x*

**);**

long double atan2l(long double

long double atan2l(long double

*y*

**, long double**

*x*

**);**

## DESCRIPTION

These functions shall compute the principal value of the arc tangent
of *y*/ *x*, using the signs of both arguments to
determine the quadrant of the return value.

An application wishing to check for error situations should set *errno*
to zero and call
*feclearexcept*(FE_ALL_EXCEPT) before calling these functions.
On return, if *errno* is non-zero or
*fetestexcept*(FE_INVALID | FE_DIVBYZERO | FE_OVERFLOW | FE_UNDERFLOW)
is non-zero, an error has occurred.

## RETURN VALUE

Upon successful completion, these functions shall return the arc tangent
of *y*/ *x* in the range [-pi,pi] radians.

If *y* is ±0 and *x* is < 0, ±pi shall be returned.

If *y* is ±0 and *x* is > 0, ±0 shall be returned.

If *y* is < 0 and *x* is ±0, -pi/2 shall be returned.

If *y* is > 0 and *x* is ±0, pi/2 shall be returned.

If *x* is 0, a pole error shall not occur.

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

If the result underflows, a range error may occur and *y*/ *x*
should be returned.

If *y* is ±0 and *x* is -0, ±pi shall be returned.

If *y* is ±0 and *x* is +0, ±0 shall be returned.

For finite values of ± *y* > 0, if *x* is -Inf, ±pi
shall be
returned.

For finite values of ± *y* > 0, if *x* is +Inf, ±0 shall
be returned.

For finite values of *x*, if *y* is ±Inf, ±pi/2 shall
be
returned.

If *y* is ±Inf and *x* is -Inf, ±3pi/4 shall be returned.

If *y* is ±Inf and *x* is +Inf, ±pi/4 shall be returned.

If both arguments are 0, a domain error shall not occur.

## ERRORS

These functions may fail if:

- Range Error
- The result underflows.

If the integer expression (math_errhandling & MATH_ERRNO) is non-zero,
then *errno* shall be set to [ERANGE]. If the
integer expression (math_errhandling & MATH_ERREXCEPT) is non-zero,
then the underflow floating-point exception shall be
raised.

*The following sections are informative.*

## EXAMPLES

## APPLICATION USAGE

On error, the expressions (math_errhandling & MATH_ERRNO) and (math_errhandling & MATH_ERREXCEPT) are independent of each other, but at least one of them must be non-zero.

## RATIONALE

## FUTURE DIRECTIONS

## COPYRIGHT

Portions of this text are reprinted and reproduced in electronic form from IEEE Std 1003.1, 2003 Edition, Standard for Information Technology -- Portable Operating System Interface (POSIX), The Open Group Base Specifications Issue 6, Copyright (C) 2001-2003 by the Institute of Electrical and Electronics Engineers, Inc and The Open Group. In the event of any discrepancy between this version and the original IEEE and The Open Group Standard, the original IEEE and The Open Group Standard is the referee document. The original Standard can be obtained online at http://www.opengroup.org/unix/online.html .

## SEE ALSO

*atan*(), *feclearexcept*(), *fetestexcept*(), *isnan*(),
*tan*(), the
Base Definitions volume of IEEE Std 1003.1-2001, Section 4.18, Treatment
of Error Conditions for Mathematical Functions, *<math.h>*