misc

source-code/Pseudocode/Horner-Schema/Horner-Schema.tex

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+\documentclass{article}
+\usepackage[pdftex,active,tightpage]{preview}
+\setlength\PreviewBorder{2mm}
+
+\usepackage[utf8]{inputenc} % this is needed for umlauts
+\usepackage[ngerman]{babel} % this is needed for umlauts
+\usepackage[T1]{fontenc}    % this is needed for correct output of umlauts in pdf
+\usepackage{amssymb,amsmath,amsfonts} % nice math rendering
+\usepackage{braket} % needed for \Set
+\usepackage{algorithm,algpseudocode}
+
+\usepackage{tikz}
+\usetikzlibrary{decorations.pathreplacing,calc}
+\newcommand{\tikzmark}[1]{\tikz[overlay,remember picture] \node (#1) {};}
+\newcommand*{\AddNote}[4]{%
+    \begin{tikzpicture}[overlay, remember picture]
+        \draw [decoration={brace,amplitude=0.5em},decorate,very thick]
+            ($(#3)!(#1.north)!($(#3)-(0,1)$)$) --  
+            ($(#3)!(#2.south)!($(#3)-(0,1)$)$)
+                node [align=center, text width=2.5cm, pos=0.5, anchor=west] {#4};
+    \end{tikzpicture}
+}%
+
+\begin{document}
+\begin{preview}
+    \begin{algorithm}[H]
+        \begin{algorithmic}
+            \Require $Z \in \mathbb{N}_{\geq 0}, b \in \mathbb{N}_{\geq 2}$
+            \State $i\gets 0$
+            \While{$Z > 0$}
+                \State $y_i\gets Z \mod b$
+                \State $Z \gets \frac{Z - y_i}{b}$
+                \State $i \gets i + 1$
+            \EndWhile
+            \\
+            \State \textbf{Ergebnis:} $y_{0} y_{1} \dots y_{i-1}$
+        \end{algorithmic}
+    \caption{Horner-Schema zum Basiswechsel von Zahlen in $\mathbb{N}_0$}
+    \label{alg:hornerschemaGanzeZahlen}
+    \end{algorithm}
+\end{preview}
+\end{document}

source-code/Pseudocode/Horner-Schema/Makefile

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+SOURCE = Horner-Schema
+DELAY = 80
+DENSITY = 300
+WIDTH = 500
+
+make:
+	pdflatex $(SOURCE).tex -output-format=pdf
+	pdflatex $(SOURCE).tex -output-format=pdf
+	make clean
+
+clean:
+	rm -rf  $(TARGET) *.class *.html *.log *.aux *.data *.gnuplot
+
+gif:
+	pdfcrop $(SOURCE).pdf
+	convert -verbose -delay $(DELAY) -loop 0 -density $(DENSITY) $(SOURCE)-crop.pdf $(SOURCE).gif
+	make clean
+
+png:
+	make
+	make svg
+	inkscape $(SOURCE).svg -w $(WIDTH) --export-png=$(SOURCE).png
+
+transparentGif:
+	convert $(SOURCE).pdf -transparent white result.gif
+	make clean
+
+svg:
+	make
+	#inkscape $(SOURCE).pdf --export-plain-svg=$(SOURCE).svg
+	pdf2svg $(SOURCE).pdf $(SOURCE).svg
+	# Necessary, as pdf2svg does not always create valid svgs:
+	inkscape $(SOURCE).svg --export-plain-svg=$(SOURCE).svg
+	rsvg-convert -a -w $(WIDTH) -f svg $(SOURCE).svg -o $(SOURCE)2.svg
+	inkscape $(SOURCE)2.svg --export-plain-svg=$(SOURCE).svg
+	rm $(SOURCE)2.svg

source-code/Pseudocode/Horner-Schema/basiswechsel.py

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+#!/usr/bin/env python
+# -*- coding: utf-8 -*-
+
+def string(zahl):
+    if zahl <= 9:
+        return str(zahl)
+    else:
+        return chr(55+zahl)
+
+def horner(b, Z):
+    ergebnis = ''
+    while Z > 0:
+        rest = Z % b
+        ergebnis = string(rest) + ergebnis
+        Z = (Z - rest)/b
+    return ergebnis
+
+if __name__ == "__main__":
+    r = horner(16, 31562)
+    print("Result:" + str(r))