Initial commit

sections/conclusion.tex

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+\section{Conclusion}

sections/intro.tex

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+\section{Introduction}
+\subsection{Goal of the project}
+The goal of the project was to extend an existing physics engine called
+"flying-balls"\footnote{The state of the project before the extension can be
+	found at \url{https://github.com/carzaniga/flying-balls/tree/c++-port}} by Prof. Antonio
+Carzaniga. This physics engine simulated the interactions between circles in a
+two-dimensional space. These circles appear in the window with a random
+position, together with a random initial velocity vector. The simulation would
+then just calculate the position of each circle in the following frame and draw
+it in its new state. If two circles were to collide with each other, the engine
+would detect it and make those circles bounce off each other. The resulting
+position and speed would be decided by the physics equations that govern the
+motion of such objects.
+
+The extension this project was asked to bring is the possibility to have more
+complex shapes interact with each other, such as polygons. The polygons would
+have to be arbitrary and bounce off other polygons present in the scene.
+
+\subsection{State of the art}
+
+There are a lot of 2D physiques engines across the internet. The purpose of this
+project was not to bring something new to the already existing landscape, but
+rather learn how to complete every step of the process (polygons generation,
+collision detection, kinematics resolution) from scratch, simply having a
+pre-existing way to represent the shapes on the screen.

sections/solution.tex

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+\section{Proposed solution}

sections/tech_background.tex

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+\section{Technical Background}
+
+The technical background is all the research related to the programming part of
+this bachelor project. The programming language used in this project is a
+mixture of C and C++, for this part, the course of Systems Programming taught by
+Prof. Carzaniga during the third semester. Then came the study of the starting
+point of the project, which was divided in the logic itself and the framework
+used to display the state of the simulation on the screen.
+
+\subsection{Original project}
+
+Before starting to write any code, it was necessary to study carefully the
+original project. The starting point of chosen for this specific project was the
+last commit on the \texttt{c++-port} branch. The reason for this choice is that
+the project originally started fully in C (which is still the case for the
+\texttt{main} branch) and C++ offers more functionalities that help for a
+smoother development process.
+
+
+\subsection{Cairo}

sections/theoretical_background.tex

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+\section{Theoretical Background}