You should make sure you have completed Complex Absolute before completing this task.

In this activity you need to complete the functions complexAdd, complexMultiply, and complexSquare. in the provided program.

Download complexFunctions.c, or copy it into your current directory on a CSE system by running

$ cp /web/cs1511/17s2/week06/files/complexFunctions.c .

In this exercise you have been provided with a struct to represent a Complex Number, called complex. Read the provided file and understand the given data structure.

You have also been given a main function and three incomplete functions:

complex complexAdd(complex a, complex b);
complex complexMutiply(complex a, complex b);
complex complexSquare(complex c);

complexAdd takes in two complex numbers and must return a complex number that is the sum of these two numbers. Adding two complex numbers is achieved by adding the real and imaginary parts independently, like so:

$$(a+bi)+(c+di)=(a+c)+(b+d)i$$

Similarly, complexMultiply takes in two complex numbers and must return a complex number that is the product of these two numbers. The formula to multiple two complex numbers is as follows:

$$(a+bi)(c+di)=(ac-bd)+(bc+ad)i$$

Finally, complexSquare takes in one complex number and must return its square.

We’ve #included a new header file, <math.h>. This declares a function, double sqrt(double x), which returns the square root of x.

An Example

Enter the real part of the first number: 1
Enter the imaginary part of the first number: 17
Enter the real part of the second number: 2
Enter the imaginary part of the second number: 3
The sum is 3.00 + 20.00i.
The product is -49.00 + 37.00i.
The square of the first number is -288.00 + 34.00i.

To run some simple automated tests:

$ 1511 autotest complexFunctions

To run Styl-o-matic:

$ 1511 stylomatic complexFunctions.c
Looks good!

You’ll get advice if you need to make changes to your code.

Submit your work with the give command, like so:

$ give cs1511 wk06_complexFunctions

Or, if you are working from home, upload the relevant file(s) to the wk06_complexFunctions activity on Give Online.