bericht angefangen

Makefile

@@ -1,15 +1,19 @@
 CC?=cc
 
-all:
+all: bericht
-	$(CC) -lm -o sqrt sqrt.c
 
-check: all
+check: sqrt
 	./sqrt
 
+sqrt: sqrt.c
+	$(CC) -lm -o sqrt sqrt.c
+
 debug:
 	$(CC) -g -lm -o sqrt sqrt.c
 	gdb ./sqrt
 
-bericht:
+graph.pdf: graph.dot
-	latexmk -pdf bericht.tex;
+	dot -Tpdf graph.dot > graph.pdf
 
+bericht: graph.pdf sqrt
+	latexmk -pdf bericht.tex;

bericht.tex

@@ -0,0 +1,100 @@
+\documentclass[a4paper,landscape]{scrartcl}
+\usepackage[T1]{fontenc}
+\usepackage{amsmath, amsthm, amssymb}
+\usepackage[ansinew]{inputenc}
+
+\usepackage{listings}
+\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}
+
+\subsection{Algorithmus}
+
+\begin{align}
+  x_{n+1}=\frac{x_n + \frac{a}{x_n}}{2}
+\end{align}
+
+\subsection{Implementierung in C}
+\begin{lstlisting}
+typedef uint32_t u32;
+void heron_sqrt(u32 *mem) {
+  int i;
+  for (i = 1; i <= mem[0]; i++){
+    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;
+    }
+  }
+}
+\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=0.5\textwidth]{graph.pdf}
+  \label{fig1}
+\end{figure}
+
+\subsection{Datenpfad}
+
+\end{document}

graph.dot

@@ -103,29 +103,3 @@ digraph heron {
     }
   }
 }
-
-// Listing
-// void heron_sqrt(u32 *mem) {
-//  int i;
-//  for (i = 1; i <= mem[0]; i++){
-//    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) {
-//          mem[i] = x;
-//          break;
-//        }
-//        old_x = x;
-//      }
-//      mem[i] = x;
-//    }
-//  }
-//}
-

sqrt.c

@@ -20,7 +20,6 @@ void heron_sqrt(u32 *mem) {
         // x_{n + 1} = (x_n + (s / x_n)) / 2
         x = (x >> 1) + ((s/x) >> 1);
         if (old_x <= x) {
-          mem[i] = x;
           break;
         }
         old_x = x;