atan2(3) Library Functions Manual atan2(3)
NAME
atan2, atan2f, atan2l - arc tangent function of two variables
LIBRARY
Math library (libm, -lm)
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 <= 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 tan-
gent 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 infin-
ity, +pi (-pi) is returned.
If y is a finite value greater (less) than 0, and x is positive infin-
ity, +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 infin-
ity, +3*pi/4 (-3*pi/4) is returned.
If y is positive infinity (negative infinity) and x is positive infin-
ity, +pi/4 (-pi/4) is returned.
ERRORS
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 │
└────────────────────────────────────────────┴───────────────┴─────────┘
STANDARDS
C11, POSIX.1-2008.
HISTORY
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)
Linux man-pages 6.9.1 2024-05-02 atan2(3)
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