ECE2036_oldLab5.htm

ECE
2036                                                                                                                   Spring 2014

Lab
5: Complex and ComplexMatrix classes

Assigned:
March 26, 2014                                                      Section
B: Due April 10, 2014

Section A: Due
April 11, 2014

 

In this lab you will be coding two classes with
overloaded operators: a Complex class to represent complex numbers,
and a ComplexMatrix class to represent square
matrices populated with complex numbers. You must use composition; i.e. the ComplexMatrix class must include a private member which is
a 2d array of Complex objects.

The code you write should be contained in four files,
named as follows: Complex.h and ComplexMatrix.h,
which will contain the class definitions; and Complex.cpp and ComplexMatrix.cpp,
which will contain the function implementations.  I have coded a main.cpp file which is
designed to test the functionality of your classes.  You can download it here:

http://users.ece.gatech.edu/~bk91/2036/main.cpp

Feel free to modify main.cpp as needed while coding
your classes.  You should write and test
a single function at a time, so I recommend commenting out most of main.cpp and
uncommenting only the parts that utilize the class components that you have
already written.  Alternatively, you
could write your own main.cpp to test your classes.  However, for the purposes of grading, the TA
will use an unmodified copy of the main.cpp file provided above and compile it
along with your code.  The TA will then
check that the combined program (my main.cpp plus your four class files)
provides the correct output in response to values they input.  Sample output is provided below; obviously
the TA or grader will use different inputs when testing your code.

Below is a table listing all of the public member
functions and overloaded operators that your classes must provide.  You may provide more if desired.

Class
Complex

 

Class
ComplexMatrix

 

Your code must be uploaded to t-square
by the due date and time.  The four class
code files (Complex.h, Complex.cpp, ComplexMatrix.h, and ComplexMatrix.cpp) must be simple
ASCII text files.  After you have
uploaded your code, you should meet with a TA or grader for a check-off.  During the check-off, the TA or grader will
transfer your code from t-square to the Jinx cluster
and compile it using the Gnu compiler (g++). 
The TA or grader will then test the compiled program on Jinx.  Therefore, to ensure your code runs correctly
for the TA or grader, it is strongly recommended that you test your code on
Jinx before submission.  You may choose
to do all of the coding on Jinx at your discretion. 

 

Sample
output from completed code (user input indicated in red)

Initial variable values:

c1 = 1 + i5, c2 = 0 + i0

 

Please enter complex number c3,
in the format X + iY, or X – iY:
0.5 – i2.3

You entered c3 = 0.5 – i2.3

The absolute value of c3 =
2.35372

c3 is postdecremented in this
statement.  c3 = 0.5 – i2.3

c3 is predecremented in this
statement.  c3 = -1.5 – i2.3

 

Please enter a double precision
number d1: 5.1

d1 + c3 = 3.6 – i2.3

c3 + d1 = 3.6 – i2.3

 

Please enter another complex
number c4, in the format X + iY, or X – iY: -7.7 + i3.0

c3 + c4 = -9.2 + i0.7

c3 * c4 = 18.45 + i13.21

 

Please enter an integer size
for the complex matrix M1: 3

You will now be prompted to
enter the complex elements of M1.

Please enter the matrix
elements in the order indicated.

Element (0, 0): 1 + i1

Element (0, 1): 2 + i2

Element (0, 2): 3.3 + i4.4

Element (1, 0): 0 + i0

Element (1, 1): -10 + i0

Element (1, 2): 0 – i6

Element (2, 0): -1 – i2

Element (2, 1): 1 + i2

Element (2, 2): 5 – i0.5

You entered M1 =

         1 + i1         2 + i2       3.3 + i4.4

         0 + i0       -10 + i0         0 – i6

        -1 – i2         1 + i2         5 – i0.5

 

After copying from M1, M2 =

         1 + i1         2 + i2       3.3 + i4.4

         0 + i0       -10 + i0         0 – i6

        -1 – i2         1 + i2         5 – i0.5

 

We will now modify a single
element of M2.

Please enter the row of the
element of M2 to modify, remembering that we are counting from 0 in C++: 2

Please enter the column of the
element of M2 to modify: 1

Please enter a new complex
value for the element: 0.3 + i0.4

After modifying the element, M2
=

         1 + i1         2 + i2       3.3 + i4.4

         0 + i0       -10 + i0         0 – i6

        -1 – i2       0.3 + i0.4         5 – i0.5

 

M3 = M1 + M2 =

         2 + i2         4 + i4       6.6 + i8.8

         0 + i0       -20 + i0         0 – i12

        -2 – i4       1.3 + i2.4        10 – i1

M4 = M2 * M3 =

        11 – i18    -46.27 – i18.36      59.2 + i32.1

       -24 + i12     214.4 – i7.8        -6 + i60

       -10 – i25       5.7 – i8.65      65.3 – i35.6

The memory allocated for the
matrix has been deleted.

The memory allocated for the
matrix has been deleted.

The memory allocated for the
matrix has been deleted.

The memory allocated for the
matrix has been deleted.