Faculty of Informatics, Masaryk University
PA199
Assignment One
Advanced Game
Design
Deadline: 24th
March 2015
PA199 Assignment 1. Page 1
1st
Assignment
Implement a set of computer graphics libraries in C++
Your assignment represents 30% of the module mark.
Task
The aim of the assignment is to implement from scratch a set of computer graphics classes that will
be used for creating the physics components of different interactive computer games.
Specification
Based on the vector theory you should implement a 3D vector class in C++ which will be used as a
basis for the rest of the course. Based on the matrices theory you should implement a 3×3 matrix
class in C++ which will be used as a basis for the rest of the course. Based on the ray theory you
should implement a ray class in C++.
Minimum Implementation
The basic implementation should include the following:
 A 3D vector class, which you can call TVector, with three components (x, y and z). Define
the 3 components as doubles.
 A 3×3 matrix class, which you can call Tmatrix, with a two-dimensional array (i.e. double
_Mx[3][3]).
 A Ray class which will be based on the vector and/or matrix class.
The following functions should be included:
 Unit vector (for vector class)
 Magnitude of a vector (for vector class)
 Invert a vector (for vector class)
 Add two vectors (for vector class)
 Subtract two vectors (for vector class)
 Dot product vector (for vector class)
 Cross product vector (for vector class)
 Addition (for matrix class)
 Subtraction (for matrix class)
 Multiplication (for matrix class)
 Transpose (for matrix class)
 Inverse (for matrix class)
 Calculate distance between two rays (for ray class)
 Calculate distance between a ray and a point (for ray class)
Note that you will need to use mathex.h C++ library for mathematical operations.
PA199 Assignment 1. Page 2
Extra Features
Extra credit will be given for adding more features to the classes. Some examples might include:
 Implement a place class
 Implement a camera class
 Implement advanced rotations