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std::atan

From cppreference.com
< cpp‎ | numeric‎ | math
 
 
 
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Defined in header <cmath>
float       atan( float arg );
(1)
double      atan( double arg );
(2)
long double atan( long double arg );
(3)
double      atan( Integral arg );
(4) (since C++11)

Computes the principal value of the arc tangent of arg

4) A set of overloads or a function template accepting an argument of any integral type. Equivalent to 2) (the argument is cast to double).

Contents

[edit] Parameters

arg - value of a floating-point or Integral type

[edit] Return value

If no errors occur, the arc tangent of arg (arctan(arg)) 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.

[edit] 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

[edit] Notes

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

[edit] Examples

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

[edit] See also

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