Question

There is an engineering project that uses complex numbers,
electrical circuits. you need to develop a user-defined structure type and a set of operations that will make complex arithmetic virtually as straightforward as arithmetic on C’s built-in numeric types. You will need to define functions for complex I/O as well as for the basic arithmetic operations (addition, subtraction, and for finding the absolute value of a complex number).

Hint: the complex number a + bi has a real part a and an imaginary part b, where the symbol i represents 1.

|a + bi| = '( a)2+(b)2

PROGRAM: C

Answer 1

#include <stdio.h>
#include <stdlib.h>

struct complex
{
  int real, img;
};

int main()
{
  int choice, x, y, z;
  struct complex a, b, c;

  while(1)
  {
  printf("Press 1 to add two complex numbers.\n");
  printf("Press 2 to subtract two complex numbers.\n");
  printf("Press 3 to multiply two complex numbers.\n");
  printf("Press 4 to divide two complex numbers.\n");
  printf("Press 5 to exit.\n");
  printf("Enter your choice\n");
  scanf("%d", &choice);

  if (choice == 5)
  exit(0);

  if (choice >= 1 && choice <= 4)
  {
  printf("Enter a and b where a + ib is the first complex number.");
  printf("\na = ");
  scanf("%d", &a.real);
  printf("b = ");
  scanf("%d", &a.img);
  printf("Enter c and d where c + id is the second complex number.");
  printf("\nc = ");
  scanf("%d", &b.real);
  printf("d = ");
  scanf("%d", &b.img);
  }
  if (choice == 1)
  {
c.real = a.real + b.real;
c.img = a.img + b.img;

  if (c.img >= 0)
  printf("Sum of the complex numbers = %d + %di", c.real, c.img);
  else
  printf("Sum of the complex numbers = %d %di", c.real, c.img);
  }
  else if (choice == 2)
  {
c.real = a.real - b.real;
c.img = a.img - b.img;

  if (c.img >= 0)
  printf("Difference of the complex numbers = %d + %di", c.real, c.img);
  else
  printf("Difference of the complex numbers = %d %di", c.real, c.img);
  }
  else if (choice == 3)
  {
c.real = a.real*b.real - a.img*b.img;
c.img = a.img*b.real + a.real*b.img;

  if (c.img >= 0)
  printf("Multiplication of the complex numbers = %d + %di", c.real, c.img);
  else
  printf("Multiplication of the complex numbers = %d %di", c.real, c.img);
  }
  else if (choice == 4)
  {
  if (b.real == 0 && b.img == 0)
  printf("Division by 0 + 0i isn't allowed.");
  else
  {
x = a.real*b.real + a.img*b.img;
y = a.img*b.real - a.real*b.img;
z = b.real*b.real + b.img*b.img;

  if (x%z == 0 && y%z == 0)
  {
  if (y/z >= 0)
  printf("Division of the complex numbers = %d + %di", x/z, y/z);
  else
  printf("Division of the complex numbers = %d %di", x/z, y/z);
  }
  else if (x%z == 0 && y%z != 0)
  {
  if (y/z >= 0)
  printf("Division of two complex numbers = %d + %d/%di", x/z, y, z);
  else
  printf("Division of two complex numbers = %d %d/%di", x/z, y, z);
  }
  else if (x%z != 0 && y%z == 0)
  {
  if (y/z >= 0)
  printf("Division of two complex numbers = %d/%d + %di", x, z, y/z);
  else
  printf("Division of two complex numbers = %d %d/%di", x, z, y/z);
  }
  else
  {
  if (y/z >= 0)
  printf("Division of two complex numbers = %d/%d + %d/%di",x, z, y, z);
  else
  printf("Division of two complex numbers = %d/%d %d/%di", x, z, y, z);
  }
  }
  }
  else
  printf("Invalid choice.");

  printf("\nPress any key to enter choice again...\n");
  }
}