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

From cppreference.com
Common mathematical functions
Nearest integer floating point operations
(C++11)
(C++11)
(C++11) (C++11) (C++11)
Floating point manipulation functions
(C++11) (C++11)
(C++11)
(C++11)
Classification and comparison
(C++11)
(C++11)
(C++11)
(C++11)
(C++11)
(C++11)
Types
(C++11)
(C++11)
(C++11)
Macro constants
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)
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 ) ) .

Example

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

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