/* Complex Number Multiplication A complex number can be expressed as (a, b) or as a + bi. a is called the number's real part, and b is called its imaginary part. i is defined by i x i = -1. Write a program that reads complex numbers from the input, multiplies, and prints the result. */ #include #include /* Functions for random Numbers */ #include /* Time for Initialization of random Numbers */ using namespace std; // This Class is the Data Type for complex Numbers. class complex_int { protected: int real; int imaginary; public: // The Constructor sets the real and imaginary Part with random Integers between 0 and 10. complex_int () { real = rand() % 10; imaginary = rand() % 10; cout << "New complex Number created: " << real << " " << imaginary << "i.\n\n"; } // This overloaded Constructor takes two Pointers to complex Numbers as Arguments and multimpies them. complex_int (complex_int *a, complex_int *b) { int a_real = a->get_real(); int a_imaginary = a->get_imaginary(); int b_real = b->get_real(); int b_imaginary = b->get_imaginary(); real = a_real * b_real - a_imaginary * b_imaginary; imaginary = a_real * b_imaginary + a_imaginary * b_real; cout << "New Product of two complex Numbers calculated:\n"; cout << a_real << " " << a_imaginary << "i * " << b_real << " " << b_imaginary << "i = "; cout << real << " " << imaginary << "i \n\n"; } // The next two public functions return the real and imaginary Part of the Object. int get_real () { return real; } int get_imaginary () { return imaginary; } }; int main() { srand (time(NULL)); /* Initialization of Random */ complex_int a; complex_int *pa = &a; complex_int b; complex_int *pb = &b; complex_int c(pa, pb); // Initialize a new complex Number by calling the overloaded Constructor return 0; }

Challenge Complex Numbers