C++ - ASU Math Lab - Project

Intro:

Math Lab Project is Written in C++ and it’s mainly depends on the “Matrix Class” as it works with matrices only, it also makes the all main operations on them with accurate results as much as you expect in its first phase and another more complex operations will be added in the next coming phases, in the next section we will go closer to which operations it can do efficiently.

Math Lab can do the following operations:

• Copy.
• Add Column.
• Add Row.
• Addition.
• Subtraction.
• Multiplication.
• Division.
• Transpose.
• Determinant.
• Inverse.
• Ad joint.
• Cofactor.

Configuration:

There are two methods to configure with this project.The first method is to write command lines in the Terminal (console). For example on the first method : if you want to add two matrices A and B (after entering the values of them), and put the result in matrix C the command line will be :

C = A + B

Hint: all operations will be the same with the change of operator '+' and put the operator of operation the you want.

The second method and the more recommended from the long calculations and operations is to enter a text file which have all your matrices and operations you want to do and make this file with extension '.m'.For Example if you text file name is "myOperations.txt" it should be "myOperations.m".

Some Important notes about Command Lines :

• Define Matrix:

A = [2.2 7.3 4.8 2.4; 2.3 6.5 8.9 1.2; 4.9 3.8 7.2 7.5; 9.8 3.4 7.5 8.9]

This matrix is 4x4 matrix you write the first row then but ';' and between each element you but space ' '.

• Dont feel confused about hiting enter or continue the matrix elements in new line "our code handel all these issues".

For example:

A = [8.9 7.3 4.8 2.4 2.3 6.5 8.9 1.2 4.9 3.8 7.2 7.5 9.8 3.4 7.5 8.9 8.9 7.3 4.8 2.4 2.3 6.5 8.9 1.2 4.9 3.8 7.2 7.5 9.8
3.4 7.5 8.9; 8.9 7.3 4.8 2.4 2.3 6.5 8.9 1.2 4.9 3.8 7.2 7.5 9.8 3.4 7.5 8.9 8.9 7.3 4.8 2.4 2.3 6.5 8.9 1.2 4.9 3.8 7.2
7.2 7.5 9.8 3.4 7.5 8.9; 8.9 7.3 4.8 2.4 2.3 6.5 8.9 1.2 4.9 3.8 7.2 7.5 9.8 3.4 7.5 8.9 8.9 7.3 4.8 2.4 2.3 6.5 8.9 1.2
4.9 3.8 7.2 7.5 9.8 3.4 7.5 8.9; 8.9 7.3 4.8 2.4 2.3 6.5 8.9 1.2 4.9 3.8 7.2 7.5 9.8 3.4 7.5]

• Our program support multiable operation in the same line, however the operations will be executed from right to left.

For example:

A = B + C - D * F / G

• If you are in command line mode and want to exit the program, simply write "exit" in the Terminal (console).

• The operations Must go on exsisting defined matrices and if dont you will have an error with the name of the undefined matrix.

  For example: if you are going to make multiplication on two matrices A and B and put the result in matrix C

  C = A * B
  

The two matrices A and B should be defined before this command with the same name.

Core Operations And it's Command Lines:

C = A + B  // Add
C = A - B  //Subtract
C = A * B  //multiplication
C = A / B  //Division
C = A'     //Inverse

Fixed Bugs and Issues:

• Zero value Determinant:

  this issues dont seems like big one but it is. This issue will give you a wrong results with division cause you are going to divide on the determinant which is equals to zero.

• Segmentation Fault Error:

  The functions "void addColumn(CMatrix& m)" and "void addRow(CMatrix& m)" is calling the matrix constructor "CMatrix (int nR , int nC, ...)" without passing any arguments to the va_list while the constructor is accessing va_list directly without checking if it exist or not, and that throws a segmentation fault error