Exercise 1:

Create a template class Matrix that has two-dimensional array of any number of rows (with a default of 4 rows) and any number of columns (with a default of 4 columns). Matrix should make use of a standard C++, dynamically allocated two-dimensional array to store its elements.

Design, implement and test the Matrix class. Your class should contain at least the following features, namely:

A default constructor and parametrized constructor with two arguments m (the number of rows) and n (the number of columns). It initializes all elements to zeros.

• A destructor.

A copy constructor and an assignment operator =.

A comparison operator ==.

Matrix addition + and subtraction - operators.

Matrix insertion << and extraction >> operators (using row-col format).

• operator () to provide indexing. For example, in a 3-by-5 Matrix called A, the programmer could write A (1,3) to access the element at row 1 and column 3. There should be two versions of operator( ), one that returns int & so an element of a Matrix can be used as an lvalue and one that returns const int & so an element of a Matrix can be used as an rvalue.

• Two versions of operator ++: post and pre increment operators that adds 1 to every element of the matrix.

Note: You must create an array of pointers to implement Matrix.

Class definition and driver is provided in Lab1.cpp file.

Lab1.cpp file:

#include using namespace std; template class Matrix {

private: T **arr; int rows; int cols; public: Matrix(int r = 4, int c = 4): rows(r), cols(c) { } Matrix(const Matrix &rhs) {

} Matrix operator=(const Matrix &rhs) {

} bool operator == (const Matrix& rhs) {

}

friend Matrix operator + (const Matrix& m1, const Matrix& m2) { } friend Matrix operator - (const Matrix& m1, const Matrix& m2) { }

friend ostream& operator<<(ostream& outs, const Matrix& rhs) { } friend istream& operator>>(istream& ins, Matrix& rhs) { }

T& operator () (const int r_index, const int c_index) { } const T& operator () (const int r_index, const int c_index) const { } Matrix& operator++(){ // Pre increment. } Matrix operator++(int)//post increment { } ~Matrix() { } };

int main() {

Matrix a(2, 2), b(2, 2); cout << "Please enter the content of the first Matrix (A): "; cin >> a; cout << "Please enter the content of the second Matrix (B): "; cin >> b; cout << "Printing A and B using the << operator : "; cout << "A " << a << "B " << b; cout << " Testing Copy Constructor Matrix d = a = : "; Matrix d = a; cout << d << endl; cout << "Testing = operator, Matrix E; E = B; "; Matrix e; e = b; cout << "E before changing the value of B : "; cout << e << endl;

//Testing addition + and subtraction - operators. cout << "Testing D + A = : " << d + a; cout << "Testing D - A = : " << d - a; cout << endl;

//Testing comparison operator = cout << "Testing A == A = " << (a == a) << endl; cout << "Testing A == B = " << (a == b) << endl;

//Testing operator () cout << "Testing cout << A[index] "; int index1, index2; cout << "Enter row index : "; cin >> index1; cout << "Enter column index : "; cin >> index2; cout << "A[" << index1 << "," << index2 << "] = " << a(index1, index2) << endl; cout << "Enter new value : "; int value; cin >> value; a(index1, index2) = value; cout << "A[" << index1 << "," << index2 << "] = " << a(index1, index2) << endl; cout << "New values of a : " << a; cout<<"Post increment A:"<