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asinh() function for complex number in C++

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  • Last Updated : 17 Aug, 2022
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The asinh() function for complex numbers is defined in the complex header file. This function is the complex version of the asinh() function. This function is used to calculate the complex arc hyperbolic sine of complex number z and returns the arc hyperbolic sine of complex number z. 

Syntax:

template<class T> complex<T> 
       asinh (const complex<T>& z );

Parameter: This method takes a mandatory parameter z which represents the complex number. 

Return value: This function returns the arc hyperbolic sine of complex number z. 

Below programs illustrate the asinh() function in C++: 

Example 1: 

cpp




// c++ program to demonstrate
// example of asinh() function
 
#include& lt; bits / stdc++.h & gt;
using namespace std;
 
// driver program
int main()
{
    complex& lt;
    double& gt;
    complexnumber(-2.0, 0.0);
 
    // use of asinh() function for complex number
    cout& lt;
    <
    "
    The asinh of& quot;
    <
    <
    complexnumber& lt;
    <
    "
    is& quot;
    <
    <
    asinh(complexnumber) & lt;
    <
    endl;
 
    return 0;
}

Output:

The asinh of (-2,0) is (-1.44364,0)

Time Complexity: O(1)
Auxiliary Space: O(1)

Example 2:

cpp




// c++ program to demonstrate
// example of asinh() function.
 
#include <bits/stdc++.h>
using namespace std;
 
// driver program
int main()
{
    complex<double> complexnumber(-0.0, -2.0);
 
    // use of asinh() function for complex number
    cout << "The asinh of "
         << complexnumber
         << " is "
         << asinh(complexnumber)
         << endl;
 
    return 0;
}

Output:

The asinh of (-0,-2) is (-1.31696,-1.5708)

Time Complexity: O(1)
Auxiliary Space: O(1)


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