Requirements:

• Program must compile with both -Wall and -Werror options enabled
• Submit only the files requested
• Use doubles to store real numbers
• Print all doubles to 2 decimal points unless stated otherwise

Problem Description

Multiply two complex numbers together. Complex numbers have the form A*i + B where

• A is the imaginary part of the number
• B is the real part of the number
• i is the imaginary unit and i * i = -1

Your program should ask the user for 2 complex numbers, multiply them together, and then display the result.

Assumptions

• All input is valid
• The examples provided do not represent all possible input you can receive
  • So make sure to test thoroughly on your machine

Additional Notes

• There can be any number of spaces between a, the plus sign, b, and i and your program should be able to handle this

Examples

In the examples below user input has been underlined. You don't have to do any underlining in your program. It is just there to help you differentiate between what is input and what is output.

Example 1

Enter the first complex number in the form ai + b: 5i + 3

Enter the second complex number in the form ai + b: 2i + 4

(5i + 3) * (2i + 4) = 26i + 2

Example 2

Enter the first complex number in the form ai + b: 10 i + 3

Enter the second complex number in the form ai + b: 6i+1

(10i + 3) * (6i + 1) = 28i + -57

Example 3

Enter the first complex number in the form ai + b: 1i+2

Enter the second complex number in the form ai + b: 3 i + 4

(1i + 2) * (3i + 4) = 10i + 5