Examples of Complex Number Type in C++

<complex> header file is used for declaring a complex number in C++.

We can declare the complex number by using complex(3,4) where 3 is a real number and 4 is imaginary part.

There are three real types in complex numbers. They are float complex, double complex, long double complex.

This section on C++ interview questions and answers focuses on “Complex Number Type”. One shall practice these interview questions to improve their C++ programming skills needed for various interviews (campus interviews, walk-in interviews, company interviews), placements, entrance exams and other competitive exams.

These questions can be attempted by anyone focusing on learning C++ programming language.

They can be a beginner, fresher, engineering graduate or an experienced IT professional. Our C++ interview questions come with the detailed explanation of the answers which helps in better understanding of C++ concepts.

Examples:

C++ Code:


#include <iostream>
    #include <complex>
    using namespace std;
    int main() 
    {
       complex<double> c1(4.0, 16.0), c2;
       c2 = pow(c1, 2.0);
       cout << c2;
       return 0;          
    }

#include <iostream>

#include <complex>

using namespace std;

int main()

{

complex<double> c1(4.0, 16.0), c2;

c2 = pow(c1, 2.0);

cout << c2;

return 0;

}

Output: In this program, we are finding the square of the complex number.


<span class="br0">(</span><span class="sy2">-</span><span class="nu0">240</span>,<span class="nu0">128</span><span class="br0">)</span>

(-240,128)

C++ Code:


#include <iostream>
    #include <complex>
    using namespace std;
    int main()
    {
        complex<double> c_double(2, 3);
        complex<int> c_int(4, 5);
        c_double *= 2;
        c_double = c_int;
        cout << c_double;
        return 0;
    }

#include <iostream>

#include <complex>

using namespace std;

int main()

{

complex<double> c_double(2, 3);

complex<int> c_int(4, 5);

c_double *= 2;

c_double = c_int;

cout << c_double;

return 0;

}

Output: We are just copying the value of c_int into c_double, So it’s printing as (4,5).

C++ Code:


#include <iostream>
    #include <complex>
    using namespace std;
    int main()
    {
        complex<int> i(2, 3);
        i = i * 6 / 3;
        cout << i;
        return 0;
    }

#include <iostream>

#include <complex>

using namespace std;

int main()

{

complex<int> i(2, 3);

i = i * 6 / 3;

cout << i;

return 0;

}

Output: We are multiplying the complex number by 2.


<span class="br0">(</span><span class="nu0">4</span>,<span class="nu0">6</span><span class="br0">)</span>

(4,6)

C++ Code:


#include <iostream>
    #include <complex>
    using namespace std;
    int main()
    {
       complex<double> c1(4.0,3.0);
       cout << "c1: " << c1;
       complex<float> c2(polar(5.0,0.75));
       cout << c1 + complex<double>(c2.real(),c2.imag());
       return 0;
    }

#include <iostream>

#include <complex>

using namespace std;

int main()

{

complex<double> c1(4.0,3.0);

cout << "c1: " << c1;

complex<float> c2(polar(5.0,0.75));

cout << c1 + complex<double>(c2.real(),c2.imag());

return 0;

}

Output: We are adding the two complex numbers and printing the result.


c1<span class="sy4">:</span> <span class="br0">(</span><span class="nu0">4</span>,<span class="nu0">3</span><span class="br0">)</span><span class="br0">(</span><span class="nu16">7.65844</span>,<span class="nu16">6.40819</span><span class="br0">)</span>

c1: (4,3)(7.65844,6.40819)

C++Code:


#include <iostream>
    #include <complex>
    using namespace std;
    int main()
    {
        complex<double> c1(4.0, 3.0);
        complex<float> c2(polar(5.0, 0.75));
        cout  << (c1 += sqrt(c1)) << endl;
        return 0;
    }

#include <iostream>

#include <complex>

using namespace std;

int main()

{

complex<double> c1(4.0, 3.0);

complex<float> c2(polar(5.0, 0.75));

cout << (c1 += sqrt(c1)) << endl;

return 0;

}

Output: In this program, we are adding both complex number and finding the square root of it.


<span class="br0">(</span><span class="nu16">6.12132</span>,<span class="nu16">3.70711</span><span class="br0">)</span>

(6.12132,3.70711)

C++ Code:


#include <iostream>
    #include <complex>
    using namespace std;
    int main ()
    {
        complex<double> mycomplex (20.0, 2.0);
        cout << imag(mycomplex) << endl;
        return 0;
    }

#include <iostream>

#include <complex>

using namespace std;

int main ()

{

complex<double> mycomplex (20.0, 2.0);

cout << imag(mycomplex) << endl;

return 0;

}

Output: imag part will return the imaginary part of the complex number.


<span class="nu0">2</span>

2

Examples of Complex Number Type in C++2 min read

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