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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 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). allbox; lbx lb lb T{ atan2()atan2f()atan2l()
InterfaceAttributeValue
T}Thread safetyMT-Safe

Standards

C11, POSIX.1-2008.

History

C99, POSIX.1-2001.

The variant returning double also conforms to SVr4, 4.3BSD, C89.

See Also

  1. acos(3),
  2. asin(3),
  3. atan(3),
  4. carg(3),
  5. cos(3),
  6. sin(3),
  7. tan(3)