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Showing content from https://cplusplus.com/atanh below:

function

atanh

     double atanh  (double x);      float atanhf (float x);long double atanhl (long double x);

     double atanh (double x);      float atanh (float x);long double atanh (long double x);     double asinh (T x);           // additional overloads for integral types

Compute area hyperbolic tangent

Returns the area hyperbolic tangent of x.

The area hyperbolic tangent is the inverse operation of the hyperbolic tangent.

Header

<tgmath.h>

provides a type-generic macro version of this function.

Parameters

x: Value whose area hyperbolic tangent is computed, in the interval [-1,+1].
If the argument is out of this interval, a domain error occurs.
For values of -1 and +1, a pole error may occur.

Return Value Area hyperbolic tangent of x.

If a domain error occurs:

- And math_errhandling has MATH_ERRNO set: the global variable errno is set to EDOM.
- And math_errhandling has MATH_ERREXCEPT set: FE_INVALID is raised.

If a pole error occurs:

- And math_errhandling has MATH_ERRNO set: the global variable errno is set to ERANGE.
- And math_errhandling has MATH_ERREXCEPT set: FE_DIVBYZERO is raised.

Example

/* atanh example */
#include <stdio.h>      /* printf */
#include <math.h>       /* tanh, atanh */

int main ()
{
  double param, result;
  param = tanh(1);
  result = atanh(param) ;
  printf ("The area hyperbolic tangent of %f is %f.\n", param, result);
  return 0;
}

Output:

The area hyperbolic tangent of 0.761594 is 1.000000.