ATAN2(3) Linux Programmer's Manual ATAN2(3)

# 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);

```

Feature Test Macro Requirements for glibc (see feature_test_macros(7)):
atan2f(), atan2l():
_ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L
|| /* Since glibc 2.19: */ _DEFAULT_SOURCE
|| /* Glibc versions <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE

# DESCRIPTION¶

These functions calculate 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.

No errors occur.

# ATTRIBUTES¶

For an explanation of the terms used in this section, see attributes(7).
 Interface Attribute Value atan2 (), atan2f (), atan2l () Thread safety MT-Safe

# CONFORMING TO¶

C99, POSIX.1-2001, POSIX.1-2008.
The variant returning double also conforms to SVr4, 4.3BSD, C89.