atan, atanf, atan2, atan2f

Calculates the arctangent of x (atan or atanf) or the arctangent of y/x (atan2 or atan2f).

double atan( 
   double x 
float atan(
   float x 
);  // C++ only
long double atan(
   long double x
);  // C++ only
double atan2( 
   double y, 
   double x 
float atan2(
   float y,
   float x
);  // C++ only
long double atan2(
   long double y,
   long double x
);  // C++ only
float atanf( 
   float x 
float atan2f(
   float y,
   float x


  • x, y
    Any numbers.

Return Value

atan returns the arctangent of x in the range of –π/2 to π/2 radians. atan2 returns the arctangent of y/x in the range –π to π radians. If x is 0, atan returns 0. If both parameters of atan2 are 0, the function returns 0. All results are in radians.

atan2 uses the signs of both parameters to determine the quadrant of the return value.


SEH Exception

Matherr Exception





The atan function calculates the arctangent of x. atan2 calculates the arctangent of y/x (if x equals 0, atan2 returns π/2 if y is positive, -π/2 if y is negative, or 0 if y is 0.)

atan has an implementation that uses Streaming SIMD Extensions 2 (SSE2). See _set_SSE2_enable for information and restrictions on using the SSE2 implementation.

C++ allows overloading, so you can call overloads of atan and atan2. In a C program, atan and atan2 always take and return doubles.



Required header

atan, atan2, atanf, atan2f



// crt_atan.c
// arguments: 5 0.5
#include <math.h>
#include <stdio.h>
#include <errno.h>

int main( int ac, char* av[] ) 
   double x, y, theta;
   if( ac != 3 ){
      fprintf( stderr, "Usage: %s <x> <y>\n", av[0] );
      return 1;
   x = atof( av[1] );
   theta = atan( x );
   printf( "Arctangent of %f: %f\n", x, theta );
   y = atof( av[2] );
   theta = atan2( y, x );
   printf( "Arctangent of %f / %f: %f\n", y, x, theta ); 
   return 0;
Arctangent of 5.000000: 1.373401
Arctangent of 0.500000 / 5.000000: 0.099669

.NET Framework Equivalent

See Also


Floating-Point Support

acos, acosf

asin, asinf

cos, cosf, cosh, coshf


sin, sinf, sinh, sinhf

tan, tanf, tanh, tanhf