\documentclass[10pt,a4paper]{article}

% Packages
\usepackage{fancyhdr}           % For header and footer
\usepackage{multicol}           % Allows multicols in tables
\usepackage{tabularx}           % Intelligent column widths
\usepackage{tabulary}           % Used in header and footer
\usepackage{hhline}             % Border under tables
\usepackage{graphicx}           % For images
\usepackage{xcolor}             % For hex colours
%\usepackage[utf8x]{inputenc}    % For unicode character support
\usepackage[T1]{fontenc}        % Without this we get weird character replacements
\usepackage{colortbl}           % For coloured tables
\usepackage{setspace}           % For line height
\usepackage{lastpage}           % Needed for total page number
\usepackage{seqsplit}           % Splits long words.
%\usepackage{opensans}          % Can't make this work so far. Shame. Would be lovely.
\usepackage[normalem]{ulem}     % For underlining links
% Most of the following are not required for the majority
% of cheat sheets but are needed for some symbol support.
\usepackage{amsmath}            % Symbols
\usepackage{MnSymbol}           % Symbols
\usepackage{wasysym}            % Symbols
%\usepackage[english,german,french,spanish,italian]{babel}              % Languages

% Document Info
\author{StuffDK}
\pdfinfo{
  /Title (noob-to-master-physics-engine.pdf)
  /Creator (Cheatography)
  /Author (StuffDK)
  /Subject (Noob to Master - Physics Engine Cheat Sheet)
}

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\renewcommand{\seqinsert}{\ifmmode\allowbreak\else\-\fi} % Hyphens in seqsplit
% This two commands together give roughly
% the right line height in the tables
\renewcommand{\arraystretch}{1.3}
\onehalfspacing

% Commands
\newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour
\newcommand{\mymulticolumn}[3]{\multicolumn{#1}{>{\columncolor{\RowColorName}}#2}{#3}} % For coloured multi-cols
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\newcommand{\tn}{\tabularnewline} % Required as custom column type in use

% Font and Colours
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\renewcommand{\familydefault}{\sfdefault}
\color{TextColor}

% Header and Footer
\pagestyle{fancy}
\fancyhead{} % Set header to blank
\fancyfoot{} % Set footer to blank
\fancyhead[L]{
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{C}
    \SetRowColor{DarkBackground}
    \vspace{-7pt}
    {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent
        \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}}
    }
\end{tabulary}
\columnbreak
\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Noob to Master - Physics Engine Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{StuffDK} via \textcolor{DarkBackground}{\uline{cheatography.com/50719/cs/13972/}}}
\end{tabulary}
\end{multicols}}

\fancyfoot[L]{ \footnotesize
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{LL}
  \SetRowColor{FootBackground}
  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}StuffDK \\
  \uline{cheatography.com/stuffdk} \\
  \end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Published 14th December, 2017.\\
   Updated 17th December, 2017.\\
   Page {\thepage} of \pageref{LastPage}.
\end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}}  \\
  \SetRowColor{white}
  \vspace{-5pt}
  %\includegraphics[width=48px,height=48px]{dave.jpeg}
  Measure your website readability!\\
  www.readability-score.com
\end{tabulary}
\end{multicols}}




\begin{document}
\raggedright
\raggedcolumns

% Set font size to small. Switch to any value
% from this page to resize cheat sheet text:
% www.emerson.emory.edu/services/latex/latex_169.html
\footnotesize % Small font.

\begin{multicols*}{2}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Cheat Sheet}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{8.4cm}}{This cheat sheet acts as a guide to the Noob to Master physics engine.% Row Count 2 (+ 2)
} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{3.12 cm} x{4.88 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Behaviour options}}  \tn
% Row 0
\SetRowColor{LightBackground}
boolean vanishOnImpact & If collision, the object disappears \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
boolean bounceOnImpact & If collision, the object bounce \tn 
% Row Count 4 (+ 2)
% Row 2
\SetRowColor{LightBackground}
boolean \seqsplit{constrainedInFrame} & If collision with edge, the object bounce \tn 
% Row Count 6 (+ 2)
% Row 3
\SetRowColor{white}
boolean mouseUse & The object will move with the mouse \tn 
% Row Count 8 (+ 2)
% Row 4
\SetRowColor{LightBackground}
boolean keyboardUse & The object will move with the keypresses \tn 
% Row Count 10 (+ 2)
% Row 5
\SetRowColor{white}
boolean keepXConstant & The object will only move along the y axis \tn 
% Row Count 12 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{These boolean change how an objects react}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{2 cm} x{6 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Standard physics objects}}  \tn
% Row 0
\SetRowColor{LightBackground}
{\bf{Rectangle}} & Rect(position on X axis, position on Y axis, width, height, Velocity on X axis, Velocity on Y axis) \tn 
% Row Count 4 (+ 4)
% Row 1
\SetRowColor{white}
{\bf{Circle}} & Circle(position on X axis, position on Y axis, radius of the circle,  Velocity on X axis, Velocity on Y axis) \tn 
% Row Count 8 (+ 4)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Add and physics object to the engine}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{PhysicsEngine PE = new PhysicsEngine(); \newline   \newline public Pong() \{ \newline     p = new Player(width-30, mouseY, 10, rectSize, 0, 0); \newline     c = new Circle(x, y, diam, 5, 5); \newline     PE.add(p); \newline     PE.add(c); \newline   \}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{To make your object act according to the physics engine, you have to add it to the physics engine. Above we add a custom physic object called player, and a standart circle to the physics engine.}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Example on custom class that extends Rect}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{public class Player extends Rect \{ \newline    \newline //Constructs a Player object and sends the needed parameters to the superclass. \newline   public Player(float posX, float posY, float w, float h, float xVelocity, float yVelocity) \{ \newline     super(posX, posY, w, h, xVelocity, yVelocity); \newline     mouseUse = true; \newline     keepXConstant = true; \newline   \} \newline    \newline   void draw() \{ \newline     fill(c); \newline     rect(pos.x, pos.y, w, h); \newline     fill(255); \newline   \} \newline \}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{Here we make a gameobject called player. It is a rectangle, uses the mouse to move and is lock on the X axis.}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Tips for custom clases}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{8.4cm}}{You can use an image instead of a rect or circle, just insert it under the draw method in your custom object.% Row Count 3 (+ 3)
} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Ex of customClass, vanish on borderCollision.}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{\#1 \newline //Example on custom class that extends Circle.  \newline public class Shot extends Circle \{ \newline    \newline //Constructs a Player object and sends the needed parameters to the superclass. \newline   public Shot(float posX, float posY, float radius, float xVelocity, float yVelocity) \{ \newline     super(posX, posY, radius, xVelocity, yVelocity); \newline \} \newline  \newline   void draw() \{ \newline     fill(c); \newline     ellipse(pos.x, pos.y, radius{\emph{2, radius}}2); \newline     fill(255);  \} \newline \} \newline  \newline ////////////////////////// \newline  \newline \#2 \newline void \seqsplit{borderCollisionShot(PhysicsObject} PO) \newline   \{ \newline     Shot shot = (Shot)PO; \newline  \newline     if (shot.pos.x \textless{}= shot.radius) \newline     \{ \newline       if (shot.gotHitX != true) \newline       \{ \newline         \seqsplit{objectArray.remove(shot);} \newline         shot.gotHitX = true; \newline       \} \newline     \} \newline ///////////////////// \newline  \newline \#3 \newline  if (PO instanceof Shot) \newline         borderCollisionShot(PO); \newline  \newline ////////////////////////// \newline  \newline \#2 \newline void \seqsplit{borderCollisionShot(PhysicsObject} PO) \newline   \{ \newline     Shot shot = (Shot)PO; \newline  \newline     if (shot.pos.x \textless{}= shot.radius) \newline     \{ \newline       if (shot.gotHitX != true) \newline       \{ \newline         \seqsplit{objectArray.remove(shot);} \newline         shot.gotHitX = true; \newline       \} \newline     \} \newline /////////////////////} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{Above, we made a custom class called shot. Its based on the circle class. This is marked \#1. \newline  \newline We need to add a borderCollisionShot method, to check if there is a border collision and remove the shot from the Array. \newline \#2 does this. This does only check one of the borders, so you have to make the rest yourself. Look at the borderCollisionCircle to get inspiration. \newline  \newline Then we have to finde were the physics engine checkes border collision and add in \#3, so the physics engine will run the method.}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{More information}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{8.4cm}}{You can find information on all classes and methods, in the readme.txt file in the physics engine folder.% Row Count 3 (+ 3)
} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}


% That's all folks
\end{multicols*}

\end{document}