C++ <complex> - asinh() Function
The C++ <complex> asinh() function returns the complex inverse hyperbolic sine of a complex number z. It is a function on complex plane, and has two branch cuts:
- Extends from 1j along the imaginary axis to ∞j, continuous from the right.
- Extends from -1j along the imaginary axis to -∞j, continuous from the left.
Mathematically, it can be expressed as:
Syntax
template<class T> complex<T> asinh (const complex<T>& z);
Parameters
z |
Specify the complex number. |
Return Value
Returns the complex inverse hyperbolic sine of z.
Example:
The example below shows the usage of <complex> asinh() 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 sine
cout<<"asinh(z1): "<<asinh(z1)<<"\n";
cout<<"asinh(z2): "<<asinh(z2)<<"\n";
cout<<"asinh(z3): "<<asinh(z3)<<"\n";
return 0;
}
The output of the above code will be:
asinh(z1): (1.73432,0.754249) asinh(z2): (1.44364,0) asinh(z3): (1.31696,1.5708)
❮ C++ <complex> Library
