std::atan, std::atanf, std::atanl

 

C++

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Common mathematical functions

Functions
Basic operations
abs(int)labsllabsimaxabs (C++11) abs(float)fabs divldivlldivimaxdiv (C++11) fmod	remainder (C++11) remquo (C++11) fma (C++11) fmax (C++11) fmin (C++11) fdim (C++11) nannanfnanl (C++11)(C++11)(C++11)
Exponential functions
exp exp2 (C++11) expm1 (C++11)	log log10 log1p (C++11) log2 (C++11)
Power functions
sqrt cbrt (C++11)	hypot (C++11) pow
Trigonometric and hyperbolic functions
sin cos tan asin acos atan atan2	sinh cosh tanh asinh (C++11) acosh (C++11) atanh (C++11)

Error and gamma functions
erf (C++11) erfc (C++11)	lgamma (C++11) tgamma (C++11)
Nearest integer floating point operations
ceil floor roundlroundllround (C++11)(C++11)(C++11)	trunc (C++11) nearbyint (C++11) rintlrintllrint (C++11)(C++11)(C++11)
Floating point manipulation functions
ldexp scalbnscalbln (C++11)(C++11) ilogb (C++11) logb (C++11)	frexp modf nextafternexttoward (C++11)(C++11) copysign (C++11)
Classification/Comparison
fpclassify (C++11) isfinite (C++11) isinf (C++11) isnan (C++11) isnormal (C++11) signbit (C++11)	isgreater (C++11) isgreaterequal (C++11) isless (C++11) islessequal (C++11) islessgreater (C++11) isunordered (C++11)
Macro constants
HUGE_VALFHUGE_VALHUGE_VALL (C++11)(C++11) INFINITY (C++11) NAN (C++11) math_errhandlingMATH_ERRNOMATH_ERREXCEPT (C++11)	FP_NORMALFP_SUBNORMALFP_ZEROFP_INFINITEFP_NAN (C++11)(C++11)(C++11)(C++11)(C++11)

 

Defined in header <cmath>
	(1)
float       atan ( float num ); double      atan ( double num ); long double atan ( long double num );			(until C++23)
/* floating-point-type */             atan ( /* floating-point-type */ num );			(since C++23) (constexpr since C++26)
float       atanf( float num );		(2)	(since C++11) (constexpr since C++26)
long double atanl( long double num );		(3)	(since C++11) (constexpr since C++26)
Additional overloads (since C++11)
Defined in header <cmath>
template< class Integer > double      atan ( Integer num );		(A)	(constexpr since C++26)

1-3) Computes the principal value of the arc tangent of num. The library provides overloads of std::atan for all cv-unqualified floating-point types as the type of the parameter. (since C++23)

A) Additional overloads are provided for all integer types, which are treated as double.

(since C++11)

Parameters

num

-

floating-point or integer value

Return value

If no errors occur, the arc tangent of num (arctan(num)) in the range [-

π

2

, +

π

2

] radians, is returned.

If a range error occurs due to underflow, the correct result (after rounding) is returned.

Error handling

Errors are reported as specified in math_errhandling.

If the implementation supports IEEE floating-point arithmetic (IEC 60559),

• If the argument is ±0, it is returned unmodified
• If the argument is +∞, +π/2 is returned
• If the argument is -∞, -π/2 is returned
• if the argument is NaN, NaN is returned

Notes

POSIX specifies that in case of underflow, num is returned unmodified, and if that is not supported, an implementation-defined value no greater than DBL_MIN, FLT_MIN, and LDBL_MIN is returned.

The additional overloads are not required to be provided exactly as (A). They only need to be sufficient to ensure that for their argument num of integer type, std::atan(num) has the same effect as std::atan(static_cast<double>(num)).

Examples

Run this code

#include <cmath>
#include <iostream>
 
int main()
{
    std::cout << "atan(1) = " << atan(1) << '\n'
              << "4*atan(1) = " << 4 * atan(1) << '\n';
 
    // special values
    std::cout << "atan(Inf) = " << atan(INFINITY) << '\n'
              << "2*atan(Inf) = " << 2 * atan(INFINITY) << '\n'
              << "atan(-0.0) = " << atan(-0.0) << '\n'
              << "atan(+0.0) = " << atan(0) << '\n';
}

Output:

atan(1) = 0.785398
4*atan(1) = 3.14159
atan(Inf) = 1.5708
2*atan(Inf) = 3.14159
atan(-0.0) = -0
atan(+0.0) = 0

See also

asinasinfasinl (C++11)(C++11)	computes arc sine (\({\small\arcsin{x} }\)arcsin(x)) (function)
acosacosfacosl (C++11)(C++11)	computes arc cosine (\({\small\arccos{x} }\)arccos(x)) (function)
atan2atan2fatan2l (C++11)(C++11)	arc tangent, using signs to determine quadrants (function)
tantanftanl (C++11)(C++11)	computes tangent (\({\small\tan{x} }\)tan(x)) (function)
atan(std::complex) (C++11)	computes arc tangent of a complex number (\({\small\arctan{z} }\)arctan(z)) (function template)
atan(std::valarray)	applies the function std::atan to each element of valarray (function template)