Total: 100 points
Q1. Multi dimensional arrays.
Given a NxN matrix of floats, write a function getNorm that returns its 1-norm, defined as:
The prototype of getNorm should be
float getNorm(float **matrix, int N);
You can use any libraries that are included in the C++ installation on the lab machines, for example cmath. You are given a header file Q1.h and a sample main file Q1main.cpp. You can use them to test your code, which you should include in a file named Q1.cpp.
Files to submit: Q1.cpp
Q2. Dynamic memory allocation.
Write a function reverseString that, given a C++ string, returns a pointer to a new string whose content is the reverse of the original one. The prototype of reverseString is as follows:
string* reverseString(string &s);
For example, when given a string with “EC327” as a value, reverseString will return a new string containing “723CE”.
You are given a header file Q2.h and a main file Q2main.cpp. Implement your function in a file called Q2.cpp and submit it.
Files to submit: Q2.cpp
Q3 Class design.
a) Design a class named Student that contains:
• A string data field named first, which holds the student’s first name
• A string data field named last, which holds the student’s last name
• An unsigned integer data field id, which holds the student’s ID
• A float gpa, which holds the student’s GPA
first, last, and id should be declared as public members, while gpa should be made private.
• A no argument constructor, which sets “Jane” as first, “Doe” as last, 0 as id, and 0.0 as gpa.
• A constructor that takes four arguments and assigns their values to first, last, id, and gpa respectively. The prototype of this constructor should be:
◦ Student(string f, string l, int i, float g);
• Get and set functions to handle the private data field gpa, as follows:
◦ void setGpa(float g); //assigns the value g to gpa ◦ float getGpa(); //returns the gpa
• A function display with the following prototype:
◦ void display();
When executed, display should print the student’s first name, last name, id, and GPA on a single line separated by a single space, as follows:
John Doe 3921093129 3.5
b) Separate the class declaration and implementation into Student.h and Student.cpp. You can use #ifndef / # define / #endif to prevent multiple class declarations.
We provide a Q3main.cpp file to test your implementation.
