\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{JSondhof} \pdfinfo{ /Title (bit-hacks.pdf) /Creator (Cheatography) /Author (JSondhof) /Subject (Bit Hacks Cheat Sheet) } % Lengths and widths \addtolength{\textwidth}{6cm} \addtolength{\textheight}{-1cm} \addtolength{\hoffset}{-3cm} \addtolength{\voffset}{-2cm} \setlength{\tabcolsep}{0.2cm} % Space between columns \setlength{\headsep}{-12pt} % Reduce space between header and content \setlength{\headheight}{85pt} % If less, LaTeX automatically increases it \renewcommand{\footrulewidth}{0pt} % Remove footer line \renewcommand{\headrulewidth}{0pt} % Remove header line \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 \newcolumntype{x}[1]{>{\raggedright}p{#1}} % New column types for ragged-right paragraph columns \newcommand{\tn}{\tabularnewline} % Required as custom column type in use % Font and Colours \definecolor{HeadBackground}{HTML}{333333} \definecolor{FootBackground}{HTML}{666666} \definecolor{TextColor}{HTML}{333333} \definecolor{DarkBackground}{HTML}{065C9E} \definecolor{LightBackground}{HTML}{EFF4F8} \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{Bit Hacks Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{JSondhof} via \textcolor{DarkBackground}{\uline{cheatography.com/30576/cs/9135/}}} \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}JSondhof \\ \uline{cheatography.com/jsondhof} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Not Yet Published.\\ Updated 16th September, 2016.\\ 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*}{3} \begin{tabularx}{5.377cm}{p{0.64701 cm} x{4.32999 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{C/C++ bitwise operations}} \tn % Row 0 \SetRowColor{LightBackground} \& & AND \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} | & OR \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} \textasciicircum{} & XOR \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} \textasciitilde{} & NOT \tn % Row Count 4 (+ 1) % Row 4 \SetRowColor{LightBackground} \textless{}\textless{} & SHIFT (left) \tn % Row Count 5 (+ 1) % Row 5 \SetRowColor{white} \textgreater{}\textgreater{} & SHIFT (right) \tn % Row Count 6 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Useful snippets}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{Counting (c) bits set in x} \tn \mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}`for (c = 0; x; c++) \{ x \&= vx- 1; \}`} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Computing parity in parallel (32 Bit)} \tn \mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}`x \textasciicircum{}= x \textgreater{}\textgreater{} 16; x \textasciicircum{}= x \textgreater{}\textgreater{} 8; x \textasciicircum{}= x \textgreater{}\textgreater{} 4; x \&= 0xf; return (0x6996 \textgreater{}\textgreater{} x) \& 1;`} \tn % Row Count 5 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{2.63781 cm} x{2.33919 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Integer arithmetics}} \tn % Row 0 \SetRowColor{LightBackground} `x = y \textless{}\textless{} n` & Multiply by n times 2 \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} `x = y \textgreater{}\textgreater{} n` & Divide by n times 2 \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} `return (x \& 1) == 0` & Is x even? \tn % Row Count 5 (+ 1) % Row 3 \SetRowColor{white} `return (x \&\& !(x \& (x - 1)))` & Is x power of 2? \tn % Row Count 7 (+ 2) % Row 4 \SetRowColor{LightBackground} `return (x \textasciicircum{} y) \textless{} 0` & Has x opposite sign than y? \tn % Row Count 9 (+ 2) % Row 5 \SetRowColor{white} `y \textasciicircum{} ((x \textasciicircum{} y) \& -(x \textless{} y))` & min(x,y) \tn % Row Count 11 (+ 2) % Row 6 \SetRowColor{LightBackground} `x \textasciicircum{} ((x \textasciicircum{} y) \& -(x \textless{} y))` & max(x,y) \tn % Row Count 13 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{1.59264 cm} x{3.38436 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Single bit operations}} \tn % Row 0 \SetRowColor{LightBackground} `y = x | (1\textless{}\textless{}n)` & Set the n\textasciicircum{}th\textasciicircum{} bit \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} `y = x \& \textasciitilde{}(1\textless{}\textless{}n)` & Unset the n\textasciicircum{}th\textasciicircum{} bit \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} `y = x \textasciicircum{} (1\textless{}\textless{}n)` & Toggle the n\textasciicircum{}th\textasciicircum{} bit \tn % Row Count 6 (+ 2) % Row 3 \SetRowColor{white} `return x \& (1\textless{}\textless{}n)` & Test if the n\textasciicircum{}th\textasciicircum{} bit is set \tn % Row Count 8 (+ 2) % Row 4 \SetRowColor{LightBackground} `y = x \& (x-1)` & Turn off rightmost 1bit \tn % Row Count 10 (+ 2) % Row 5 \SetRowColor{white} `y = x \& (-x)` & Isolate rightmost 1bit \tn % Row Count 12 (+ 2) % Row 6 \SetRowColor{LightBackground} `y = x | (x-1)` & Right propagate rightmost 1bit (fill in ones) \tn % Row Count 14 (+ 2) % Row 7 \SetRowColor{white} `y = x | (x+1)` & Turn on rightmost 0bit \tn % Row Count 16 (+ 2) % Row 8 \SetRowColor{LightBackground} `y = \textasciitilde{}x \& (x+1)` & Isolate rightmost 0bit \tn % Row Count 18 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}