C++ <complex> - atanh() Function
The C++ <complex> atanh() function returns the complex inverse hyperbolic tangent of a complex number z. It is a function on complex plane, and has two branch cuts:
- Extends from 1 along the real axis to ∞, continuous from below.
- Extends from -1 along the real axis to -∞, continuous from above.
Mathematically, it can be expressed as:
Syntax
template<class T> complex<T> atanh (const complex<T>& z);
Parameters
z |
Specify the complex number. |
Return Value
Returns the complex inverse hyperbolic tangent of z.
Example:
The example below shows the usage of <complex> atanh() function.
#include <iostream>
#include <complex>
using namespace std;
int main (){
complex<double> z1 (2, 2);
complex<double> z2 (2, 0);
complex<double> z3 (0, 2);
//calculate the complex inverse hyperbolic tangent
cout<<"atanh(z1): "<<atanh(z1)<<"\n";
cout<<"atanh(z2): "<<atanh(z2)<<"\n";
cout<<"atanh(z3): "<<atanh(z3)<<"\n";
return 0;
}
The output of the above code will be:
atanh(z1): (0.238878,1.31122) atanh(z2): (0.549306,1.5708) atanh(z3): (0,1.10715)
❮ C++ <complex> Library
