# atan2f(3) [osx man page]

```ATAN2(3)						   BSD Library Functions Manual 						  ATAN2(3)

NAME
atan2 -- arc tangent function of two variables

SYNOPSIS
#include <math.h>

double
atan2(double y, double x);

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

float
atan2f(float y, float x);

DESCRIPTION
The atan2() function computes the principal value of the arc tangent of y/x, using the signs of both arguments to determine the quadrant of
the return value.

SPECIAL VALUES
atan2(+-0, -0) returns +-pi.

atan2(+-0, +0) returns +-0.

atan2(+-0, x) returns +-pi for x < 0.

atan2(+-0, x) returns +-0 for x > 0.

atan2(y, +-0) returns +pi/2 for y > 0.

atan2(y, +-0) returns -pi/2 for y < 0.

atan2(+-y, -infinity) returns +-pi for finite y > 0.

atan2(+-y, +infinity) returns +-0 for finite y > 0.

atan2(+-infinity, x) returns +-pi/2 for finite x.

atan2(+-infinity, -infinity) returns +-3*pi/4.

atan2(+-infinity, +infinity) returns +-pi/4.

NOTES
The atan2() function is used mostly to convert from rectangular (x,y) to polar (r,theta) coordinates that must satisfy x = r*cos theta and y
= r*sin theta.  In general, conversions to polar coordinates should be computed thus:

r	:= hypot(x,y);	... := sqrt(x*x+y*y)
theta     := atan2(y,x).

VECTOR OPERATIONS
If you need to apply the atan2() function to SIMD vectors or arrays, using the following functions provided by the Accelerate.framework may
give significantly better performance:

#include <Accelerate/Accelerate.h>

vFloat atan2f(vFloat y, vFloat x);
void vvatan2f(float *z, const float *y, const float *x, const int *n);
void vvatan2(double *z, const double *y, const double *x, const int *n);

acos(3), asin(3), atan(3), cos(3), cosh(3), sin(3), sinh(3), tan(3), tanh(3), math(3),

STANDARDS
The atan2() function conforms to ISO/IEC 9899:2011.

BSD								 December 11, 2006							       BSD```

## Check Out this Related Man Page

```ATAN2(3)						   BSD Library Functions Manual 						  ATAN2(3)

NAME
atan2 -- arc tangent function of two variables

SYNOPSIS
#include <math.h>

double
atan2(double y, double x);

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

float
atan2f(float y, float x);

DESCRIPTION
The atan2() function computes the principal value of the arc tangent of y/x, using the signs of both arguments to determine the quadrant of
the return value.

SPECIAL VALUES
atan2(+-0, -0) returns +-pi.

atan2(+-0, +0) returns +-0.

atan2(+-0, x) returns +-pi for x < 0.

atan2(+-0, x) returns +-0 for x > 0.

atan2(y, +-0) returns +pi/2 for y > 0.

atan2(y, +-0) returns -pi/2 for y < 0.

atan2(+-y, -infinity) returns +-pi for finite y > 0.

atan2(+-y, +infinity) returns +-0 for finite y > 0.

atan2(+-infinity, x) returns +-pi/2 for finite x.

atan2(+-infinity, -infinity) returns +-3*pi/4.

atan2(+-infinity, +infinity) returns +-pi/4.

NOTES
The atan2() function is used mostly to convert from rectangular (x,y) to polar (r,theta) coordinates that must satisfy x = r*cos theta and y
= r*sin theta.  In general, conversions to polar coordinates should be computed thus:

r	:= hypot(x,y);	... := sqrt(x*x+y*y)
theta     := atan2(y,x).

VECTOR OPERATIONS
If you need to apply the atan2() function to SIMD vectors or arrays, using the following functions provided by the Accelerate.framework may
give significantly better performance:

#include <Accelerate/Accelerate.h>

vFloat atan2f(vFloat y, vFloat x);
void vvatan2f(float *z, const float *y, const float *x, const int *n);
void vvatan2(double *z, const double *y, const double *x, const int *n);