Lab 3

1. Write a class in C++ that has the following definition:

class Math
{
public:
    static int Add(int,int);
    static int Add(int,int,int);
    static int Add(double,double);
    static int Add(double,double,double);
    static int Mul(int,int);
    static int Mul(int,int,int);
    static int Mul(double,double);
    static int Mul(double,double,double);
    static int Add(int count,...); // sums up a list of integers
    static char* Add(const char *, const char *);
};

Organize the code in the following way:

• a header file called Math.h
• a cpp file called Math.cpp that contains the source code for class Math
• a main file called main.cpp that contains the main function and has an example on how to use Math. The example must include using all methods from the class.
• for the variadic method use pointers or va_start / va_end macros.
• Add(const char *, const char *) will allocate memory that can add the two existing string. If one of the strings is nullptr, this function will return nullptr;

2. Write a class in C++ that has the following definition:

class Canvas
{
    // add private data members
public:
    Canvas(int width,int height);
    void DrawCircle(int x, int y, int ray, char ch);
    void FillCircle(int x, int y, int ray, char ch);
    void DrawRect(int left, int top, int right, int bottom, char ch);
    void FillRect(int left, int top, int right, int bottom, char ch);
    void SetPoint(int x, int y, char ch);
    void DrawLine(int x1, int y1, int x2, int y2, char ch);
    void Print(); // shows what was printed
    void Clear(); // clears the canvas
};

Organize the code in the following way:

• a header file called Canvas.h
• a cpp file called Canvas.cpp that contains the source code for class Canvas
• a main file called main.cpp that contains the main function and has an example on how to use Canvas. The example must include using all methods from the class.
• use a matrix of type char for the canvas. A pixel is a cell in the matrix. A pixel is considered empty if it contains the space (value 32) character.
• for the DrawLine algorithm use Braseham algorithm.