%*******************************************************************************
% * Copyright (c) 2006-2013
% * Institute of Automation, Dresden University of Technology
% *
% * All rights reserved. This program and the accompanying materials
% * are made available under the terms of the Eclipse Public License v1.0
% * which accompanies this distribution, and is available at
% * http://www.eclipse.org/legal/epl-v10.html
% *
% * Contributors:
% *   Institute of Automation - TU Dresden, Germany
% *      - initial API and implementation
% ******************************************************************************/

\documentclass[
  print,          % print optimized version of the thesis, standard option
                  % alternative:
%  screen,        % makes the thesis better readable on screens (onesided, coloured links)
                  % use only 'print' OR 'screen'
                  % ATTENTION: 'screen' changes size of text area slightly. Always optimize document WITH
                  % 'print' option first for printing (size of graphics etc.) and convert afterwards
                  % in screen optimized version!
  listoffigures,  % includes list of figures
  listoftables,   % includes list of tables
  listoflistings, % includes list of listings
  abbrevations,   % includes index of symbols and abbrevations
  bibIfa,         % citation style (IfA standard), alternatives: bibNumeric, bibHarvard
  langDE          % define the language (default: langDE)
]{ifathesis}
\ifaThesis{Belegarbeit}
\ifaAuthor{Jörg Thalheim}
\ifaAuthorBirthday{03.01.1992}
\ifaAuthorBirthplace{Großröhrsdorf}
\ifaAuthorCourse{Informationssystemtechnik}
\ifaAuthorYearOfMatriculation{2011}
\ifaKeywords{Praktikum, Schaltungsentwurf, Verilog} % Keywords included in pdf-file. Could be found e.g. by Windows file search.
\ifaTitleDE{Schaltkreis- und Systementwurf}
\ifaTitleEN{}

\ifaSupervisorA{Jens-Uwe Schlüßler}
\ifaProfessor{Prof. Dr.-Ing. habil. René Schüffny}
\ifaDayOfSubmission{\today}
\ifaTopicDescriptionPDF{parts/00_Aufgabenstellung.pdf}
\ifaAppendix{example_files/appendix}
\ifaAbstractDE{example_files/00_abstract_de__invalid}
\ifaAbstractEN{example_files/00_abstract_en__invalid}
\usepackage{tabularx}
\usepackage{graphicx}
\usepackage{color}

\definecolor{mygreen}{rgb}{0,0.6,0}
\definecolor{mygray}{rgb}{0.5,0.5,0.5}
\definecolor{mymauve}{rgb}{0.58,0,0.82}

\lstset{ %
  backgroundcolor=\color{white},   % choose the background color; you must add \usepackage{color} or \usepackage{xcolor}
  basicstyle=\footnotesize,        % the size of the fonts that are used for the code
  breakatwhitespace=false,         % sets if automatic breaks should only happen at whitespace
  breaklines=true,                 % sets automatic line breaking
  captionpos=b,                    % sets the caption-position to bottom
  commentstyle=\color{mygreen},    % comment style
  deletekeywords={...},            % if you want to delete keywords from the given language
  escapeinside={\%*}{*)},          % if you want to add LaTeX within your code
  extendedchars=true,              % lets you use non-ASCII characters; for 8-bits encodings only, does not work with UTF-8
  frame=single,                    % adds a frame around the code
  keepspaces=true,                 % keeps spaces in text, useful for keeping indentation of code (possibly needs columns=flexible)
  keywordstyle=\color{blue},       % keyword style
  language=C,                      % the language of the code
  morekeywords={*,...},            % if you want to add more keywords to the set
  numbers=left,                    % where to put the line-numbers; possible values are (none, left, right)
  numbersep=5pt,                   % how far the line-numbers are from the code
  numberstyle=\tiny\color{mygray}, % the style that is used for the line-numbers
  rulecolor=\color{black},         % if not set, the frame-color may be changed on line-breaks within not-black text (e.g. comments (green here))
  showspaces=false,                % show spaces everywhere adding particular underscores; it overrides 'showstringspaces'
  showstringspaces=false,          % underline spaces within strings only
  showtabs=false,                  % show tabs within strings adding particular underscores
  stepnumber=2,                    % the step between two line-numbers. If it's 1, each line will be numbered
  stringstyle=\color{mymauve},     % string literal style
  tabsize=2,                       % sets default tabsize to 2 spaces
  title=\lstname                   % show the filename of files included with \lstinputlisting; also try caption instead of title
}

\begin{document}

\chapter{Einleitung}
TODO Kapitel 5.1 -> Aufgabenstellung

\chapter{Beschreibung des Algorithmus}

\begin{align}
  x_{n+1}=\frac{x_n + \frac{a}{x_n}}{2}
\end{align}

\section{Implementierung in C}
\begin{lstlisting}
typedef uint32_t u32;
void heron_sqrt(u32 *mem) {
  int i = mem[0];
  while (i > 0) {
    u32 s = mem[i];
    if (s > 1) {
      // x_0 = (s + 1) / 2
      // without increment to avoid overflow for 0xffffffff
      u32 x = s >> 1;
      u32 old_x = x;

      while(1) {
        // x_{n + 1} = (x_n + (s / x_n)) / 2
        x = (x >> 1) + ((s/x) >> 1);
        if (old_x <= x) {
          break;
        }
        old_x = x;
      }
      mem[i] = x;
    }
    i--;
  }
}
\end{lstlisting}
\subsection{Speicherbelegung}

Es wird angenommen, das jeder Speicherplatz 32 Bit breit ist.
Jedes Datenfeld wird als vorzeichenlose Festkommazahl interpretiert.

\begin{tabularx}{\textwidth}{X|X}
  Speicherplatz & Beschreibung \\\hline
  MEM[0]        & Anzahl der Operanden (n) \\
  MEM[1]        & 1. Operand \\
  MEM[2]        & 2. Operand \\
  $\ldots$      & $\dots$ \\
  MEM[N]        & N. Operand
\end{tabularx}

\subsection{Datenflussgraph}
\begin{figure}[ht]
  \centering
  \includegraphics[width=0.3\textwidth]{graph.pdf}
  \label{fig1}
\end{figure}

\subsection{Datenpfad}

\end{document}