Y argument
Return value
X argument
Defined in header <math.h> | ||
|---|---|---|
float atan2f( float y, float x ); | (1) | (since C99) |
double atan2( double y, double x ); | (2) | |
long double atan2l( long double y, long double x ); | (3) | (since C99) |
_Decimal32 atan2d32( _Decimal32 y, _Decimal32 x ); | (4) | (since C23) |
_Decimal64 atan2d64( _Decimal64 y, _Decimal64 x ); | (5) | (since C23) |
_Decimal128 atan2d128( _Decimal128 y, _Decimal128 x ); | (6) | (since C23) |
Defined in header <tgmath.h> | ||
#define atan2( y, x ) | (7) | (since C99) |
y / x using the signs of arguments to determine the correct quadrant.long double, (3) (atan2l) is called. Otherwise, if any argument has integer type or has type double, (2) (atan2) is called. Otherwise, (1) (atan2f) is called.| The functions (4-6) are declared if and only if the implementation predefines | (since C23) |
| x, y | - | floating-point value |
y / x (arctan(y/x)) in the range [-π ; +π] radians, is returned. If a domain error occurs, an implementation-defined value is returned.
If a range error occurs due to underflow, the correct result (after rounding) is returned.
Errors are reported as specified in math_errhandling.
Domain error may occur if x and y are both zero.
If the implementation supports IEEE floating-point arithmetic (IEC 60559):
x and y are both zero, domain error does not occur; x and y are both zero, range error does not occur either; y is zero, pole error does not occur; y is ±0 and x is negative or -0, ±π is returned; y is ±0 and x is positive or +0, ±0 is returned; y is ±∞ and x is finite, ±π/2 is returned; y is ±∞ and x is -∞, ±3π/4 is returned; y is ±∞ and x is +∞, ±π/4 is returned; x is ±0 and y is negative, -π/2 is returned; x is ±0 and y is positive, +π/2 is returned; x is -∞ and y is finite and positive, +π is returned; x is -∞ and y is finite and negative, -π is returned; x is +∞ and y is finite and positive, +0 is returned; x is +∞ and y is finite and negative, -0 is returned; x is NaN or y is NaN, NaN is returned. atan2(y, x) is equivalent to carg(x + I*y).
POSIX specifies that in case of underflow, y / x is the value returned, and if that is not supported, an implementation-defined value no greater than DBL_MIN, FLT_MIN, and LDBL_MIN is returned.
#include <math.h>
#include <stdio.h>
int main(void)
{
// normal usage: the signs of the two arguments determine the quadrant
// atan2(1,1) = +pi/4, Quad I
printf("(+1,+1) cartesian is (%f,%f) polar\n", hypot( 1, 1), atan2( 1, 1));
// atan2(1, -1) = +3pi/4, Quad II
printf("(+1,-1) cartesian is (%f,%f) polar\n", hypot( 1,-1), atan2( 1,-1));
// atan2(-1,-1) = -3pi/4, Quad III
printf("(-1,-1) cartesian is (%f,%f) polar\n", hypot(-1,-1), atan2(-1,-1));
// atan2(-1,-1) = -pi/4, Quad IV
printf("(-1,+1) cartesian is (%f,%f) polar\n", hypot(-1, 1), atan2(-1, 1));
// special values
printf("atan2(0, 0) = %f atan2(0, -0)=%f\n", atan2(0,0), atan2(0,-0.0));
printf("atan2(7, 0) = %f atan2(7, -0)=%f\n", atan2(7,0), atan2(7,-0.0));
}Output:
(+1,+1) cartesian is (1.414214,0.785398) polar (+1,-1) cartesian is (1.414214,2.356194) polar (-1,-1) cartesian is (1.414214,-2.356194) polar (-1,+1) cartesian is (1.414214,-0.785398) polar atan2(0, 0) = 0.000000 atan2(0, -0)=3.141593 atan2(7, 0) = 1.570796 atan2(7, -0)=1.570796
|
(C99)(C99) | computes arc sine (\({\small\arcsin{x} }\)arcsin(x)) (function) |
|
(C99)(C99) | computes arc cosine (\({\small\arccos{x} }\)arccos(x)) (function) |
|
(C99)(C99) | computes arc tangent (\({\small\arctan{x} }\)arctan(x)) (function) |
|
(C99)(C99)(C99) | computes the phase angle of a complex number (function) |
C++ documentation for atan2 |
|
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