Advanced Programming - HW3

Homework 3 - Spring 2023 Semester
Deadline: Monday Farvardin 14st - 11:59 pm

Outline

In this homework we are going to implement Matrix library that represents a mathematical matrix.

For storing matrix data use int** matrix. Next, we want to add row(s) or column(s) to the matrix. For the optimality of this issue use rowCapacity and colCapacitythat return the size of the storage space currently allocated for the rows and columns. These capacities are not necessarily equal to the rowSize and colSize. They can be equal or greater, with the extra space allowing to accommodate for growth without the need to reallocate on each insertion. The first time when the matrix was created with zero rows and columns, capacity equals 0. When rowSize became 3, rowCapacity must be 4, and when rowSize became 5, rowCapacity must be 8, and when and so on. This algorithm is correct for `colCapacity'.

Functions

Constructors

• default constructor: create matrix with 0 rows and columns(size).

Matrix();

• constructor with one parameter: parameter is the size of rows and columns. Data of matrix equals 0.

Matrix(int size);

• constructor with two parameters: first parameter is row size and second is column size. Data of matrix equals 0.

Matrix(int row, int column);

• constructor with initializer_list

Matrix(std::initializer_list<std::initializer_list<double>> a)

• copy constructor

Matrix(const Matrix& m);

member functions

• append : append two matrices to each other with given axis(0 for horizontally append and 1 for vertically append, default: 0) and save it.

const Matrix& append(const Matrix& m, axis=0);

• display : display matrix.

void display() const;

• getter for all membervariables

operators

• operator*: product matrices and return it.
• operator+: return sum of matrices and return it.
• operator+=: return sum of matrices and save it and return by reference.
• operator-: return subtract of matrices and return it.
• operator|: solve Ax = b with A | b with less than 0.001 precision and return x in matrix format.
• operator++: add 1 to each data in matrix.(implement post-increment and pre-increment).
• operator--: subtract 1 from each data in matrix.(implement post-decrement and pre-decrement).
• operator[]: return data in row given row.(we can use matrix[0][0]).
• operator<<: print matrix.
• operator==: check equality of two matrix. first check size and next check data by its indexes.
• operator<=>: first check rowSize, next colSize and next sum of data in matrix.
• operator=: copy all data of right matrix on left matrix.

Finally

• Don't change main.cpp.
• Write Makefile to run your code.
• Remember to pay attention to size and capacity in all functions.
• keep all your implementations in matrix.cpp and matrix.h. do not alter other files at all. In case you want to test your code you may only use the debug section of the main.cpp

if (true) // make false to run unit tests  
{
    // debug section 
}
else {
    ::testing::InitGoogleTest(&argc, argv);
    std::cout << RUN_ALL_TESTS() << std::endl;
}

GOOD LUCK