--- /dev/null
+*.pdf
+*.ps
+.*.swp
+diplomarbeit.aux
+diplomarbeit.bbl
+diplomarbeit.blg
+diplomarbeit.log
+diplomarbeit.toc
+quellen/
Komparatoren, die in $\frac{1}{2} \log(n) \log(n+1) = \mathcal{O}(\log(n))$
Schichten angeordnet sind.
-%\begin{figure}
-%\begin{center}
-%\includegraphics[viewport=115 491 372 782,width=7.5cm]{images/sn-rekursiver-aufbau.pdf}
-%\end{center}
-%\caption{Rekursiver Aufbau von $S(n)$: Es besteht aus zwei Instanzen von
-%$S(n/2)$ und dem Mischer $M(n)$.}
-%\label{fig:bms_rekursiver_aufbau}
-%\end{figure}
-
\subsection{Das Odd-Even-Mergesort-Netzwerk}
Obwohl der Name ähnlich klingt, haben das \emph{Odd-Even-Mergesort-Netzwerk}
Wie in Abschnitt~\ref{sect:anzahl_schnittmuster} beschrieben, ist die Anzahl
der \emph{unterschiedlichen} Schnittmuster und damit die Anzahl der Nachfolger
sehr groß. Bei den untersuchten 16-Sortiernetzwerken lag die Anzahl der
-Nachfolger zwar noch unter 20000, bei den untersuchten 32-Sortiernetzwerken
+Nachfolger zwar noch unter 20.000, bei den untersuchten 32-Sortiernetzwerken
wurden jedoch bereits bis zu $2,6 \cdot 10^8$ unterschiedliche Schnittmuster
geschätzt.
gib Netzwerk zurück
\end{verbatim}
+Die Abbildungen~\ref{fig:markov-comparators-12},
+\ref{fig:markov-comparators-14}, \ref{fig:markov-comparators-12},
+\ref{fig:markov-comparators-16} und~\ref{fig:markov-comparators-18} zeigen die
+Anzahl der Komparatoren der Sortiernetzwerke, die \textsc{SN-Markov} auf
+seinem zufälligen Pfad durchläuft. Ausserdem eingezeichnet ist eine
+\emph{Gamma-Verteilung}.
+
\begin{figure}
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+\path[comp inactive maximum] (v350) -- (v351);
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+\node[vertex inactive minimum] (v352) at (14.48,0.42) {};
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+\path[comp inactive minimum] (v352) -- (v353);
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+\node[vertex inactive minimum] (v354) at (14.48,1.26) {};
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+\path[comp inactive minimum] (v354) -- (v355);
+
+\node[vertex inactive minimum] (v356) at (14.48,2.10) {};
+\node[vertex inactive minimum] (v357) at (14.48,2.52) {};
+\path[comp inactive minimum] (v356) -- (v357);
+
+\node[vertex inactive minimum] (v358) at (14.48,2.94) {};
+\node[vertex inactive minimum] (v359) at (14.48,3.36) {};
+\path[comp inactive minimum] (v358) -- (v359);
+
+\node[vertex] (v360) at (14.48,3.78) {};
+\node[vertex] (v361) at (14.48,4.20) {};
+\path[comp] (v360) -- (v361);
+
+\node[vertex] (v362) at (14.48,4.62) {};
+\node[vertex] (v363) at (14.48,5.03) {};
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+\node[vertex] (v364) at (14.48,5.45) {};
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+\node[vertex] (v366) at (14.48,6.29) {};
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+\path[comp] (v366) -- (v367);
+
+\node[vertex] (v368) at (14.48,7.13) {};
+\node[vertex] (v369) at (14.48,7.55) {};
+\path[comp] (v368) -- (v369);
+
+\node[vertex] (v370) at (14.48,7.97) {};
+\node[vertex] (v371) at (14.48,8.39) {};
+\path[comp] (v370) -- (v371);
+
+\node[vertex] (v372) at (14.48,8.81) {};
+\node[vertex] (v373) at (14.48,9.23) {};
+\path[comp] (v372) -- (v373);
+
+\node[vertex inactive maximum] (v374) at (14.48,9.65) {};
+\node[vertex inactive maximum] (v375) at (14.48,10.07) {};
+\path[comp inactive maximum] (v374) -- (v375);
+
+\node[vertex inactive maximum] (v376) at (14.48,10.49) {};
+\node[vertex inactive maximum] (v377) at (14.48,10.91) {};
+\path[comp inactive maximum] (v376) -- (v377);
+
+\node[vertex inactive maximum] (v378) at (14.48,11.33) {};
+\node[vertex inactive maximum] (v379) at (14.48,11.75) {};
+\path[comp inactive maximum] (v378) -- (v379);
+
+\node[vertex inactive maximum] (v380) at (14.48,12.17) {};
+\node[vertex inactive maximum] (v381) at (14.48,12.59) {};
+\path[comp inactive maximum] (v380) -- (v381);
+
+\end{tikzpicture}
--- /dev/null
+\begin{tikzpicture}[auto]
+\node[vertex] (v0) at (0.87,0.00) {};
+\node[vertex] (v1) at (0.87,5.55) {};
+\path[comp] (v0) -- (v1);
+
+\node[vertex] (v2) at (1.13,0.69) {};
+\node[vertex] (v3) at (1.13,6.24) {};
+\path[comp] (v2) -- (v3);
+
+\node[vertex] (v4) at (1.39,1.39) {};
+\node[vertex] (v5) at (1.39,6.94) {};
+\path[comp] (v4) -- (v5);
+
+\node[vertex] (v6) at (1.65,2.08) {};
+\node[vertex] (v7) at (1.65,7.63) {};
+\path[comp] (v6) -- (v7);
+
+\node[vertex] (v8) at (1.91,2.77) {};
+\node[vertex] (v9) at (1.91,8.32) {};
+\path[comp] (v8) -- (v9);
+
+\node[vertex] (v10) at (2.17,3.47) {};
+\node[vertex] (v11) at (2.17,9.02) {};
+\path[comp] (v10) -- (v11);
+
+\node[vertex] (v12) at (2.43,4.16) {};
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+\path[comp] (v12) -- (v13);
+
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+\path[comp] (v14) -- (v15);
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+\node[vertex] (v22) at (3.55,4.16) {};
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+\path[comp] (v22) -- (v23);
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+\node[vertex] (v24) at (3.55,5.55) {};
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+\path[comp] (v24) -- (v25);
+
+\node[vertex] (v26) at (3.55,6.94) {};
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+\path[comp] (v26) -- (v27);
+
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+\path[comp] (v28) -- (v29);
+
+\node[vertex] (v30) at (3.55,9.71) {};
+\node[vertex] (v31) at (3.55,10.40) {};
+\path[comp] (v30) -- (v31);
+
+\node[vertex] (v32) at (4.42,0.00) {};
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+\path[comp] (v32) -- (v33);
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+\node[vertex] (v35) at (4.68,5.55) {};
+\path[comp] (v34) -- (v35);
+
+\node[vertex] (v36) at (4.42,2.08) {};
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+\path[comp] (v36) -- (v37);
+
+\node[vertex] (v38) at (4.94,2.77) {};
+\node[vertex] (v39) at (4.94,4.16) {};
+\path[comp] (v38) -- (v39);
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+\node[vertex] (v40) at (5.20,3.47) {};
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+\path[comp] (v40) -- (v41);
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+\node[vertex] (v42) at (4.94,4.86) {};
+\node[vertex] (v43) at (4.94,9.71) {};
+\path[comp] (v42) -- (v43);
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+\node[vertex] (v44) at (4.68,6.24) {};
+\node[vertex] (v45) at (4.68,7.63) {};
+\path[comp] (v44) -- (v45);
+
+\node[vertex] (v46) at (4.42,9.02) {};
+\node[vertex] (v47) at (4.42,10.40) {};
+\path[comp] (v46) -- (v47);
+
+\node[vertex] (v48) at (6.07,0.00) {};
+\node[vertex] (v49) at (6.07,2.77) {};
+\path[comp] (v48) -- (v49);
+
+\node[vertex] (v50) at (6.33,0.69) {};
+\node[vertex] (v51) at (6.33,2.08) {};
+\path[comp] (v50) -- (v51);
+
+\node[vertex] (v52) at (6.07,3.47) {};
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+\path[comp] (v52) -- (v53);
+
+\node[vertex] (v54) at (6.07,5.55) {};
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+\path[comp] (v54) -- (v55);
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+\node[vertex] (v56) at (6.07,7.63) {};
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+\path[comp] (v56) -- (v57);
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+\path[comp] (v58) -- (v59);
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+\node[vertex] (v62) at (7.46,2.08) {};
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+\node[vertex] (v70) at (8.84,2.08) {};
+\node[vertex] (v71) at (8.84,5.55) {};
+\path[comp] (v70) -- (v71);
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+\node[vertex] (v72) at (9.10,3.47) {};
+\node[vertex] (v73) at (9.10,4.16) {};
+\path[comp] (v72) -- (v73);
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+\node[vertex] (v74) at (9.10,4.86) {};
+\node[vertex] (v75) at (9.10,8.32) {};
+\path[comp] (v74) -- (v75);
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+\node[vertex] (v76) at (8.84,6.24) {};
+\node[vertex] (v77) at (8.84,6.94) {};
+\path[comp] (v76) -- (v77);
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+\node[vertex] (v78) at (8.84,9.02) {};
+\node[vertex] (v79) at (8.84,9.71) {};
+\path[comp] (v78) -- (v79);
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+\node[vertex] (v80) at (9.97,0.69) {};
+\node[vertex] (v81) at (9.97,3.47) {};
+\path[comp] (v80) -- (v81);
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+\node[vertex] (v82) at (10.23,1.39) {};
+\node[vertex] (v83) at (10.23,4.16) {};
+\path[comp] (v82) -- (v83);
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+\node[vertex] (v84) at (10.49,2.08) {};
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+\path[comp] (v84) -- (v85);
+
+\node[vertex] (v86) at (9.97,5.55) {};
+\node[vertex] (v87) at (9.97,8.32) {};
+\path[comp] (v86) -- (v87);
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+\node[vertex] (v88) at (10.23,6.24) {};
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+\path[comp] (v88) -- (v89);
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+\node[vertex] (v90) at (10.49,6.94) {};
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+\path[comp] (v90) -- (v91);
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+\node[vertex] (v92) at (11.36,2.77) {};
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+\path[comp] (v92) -- (v93);
+
+\node[vertex] (v94) at (11.62,3.47) {};
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+\path[comp] (v94) -- (v95);
+
+\node[vertex] (v96) at (11.88,4.16) {};
+\node[vertex] (v97) at (11.88,6.94) {};
+\path[comp] (v96) -- (v97);
+
+\node[vertex] (v98) at (12.14,4.86) {};
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+\path[comp] (v98) -- (v99);
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+\node[vertex] (v100) at (13.01,1.39) {};
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+\path[comp] (v100) -- (v101);
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+\node[vertex] (v102) at (13.27,2.08) {};
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+\node[vertex] (v104) at (13.01,4.16) {};
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+\path[comp] (v104) -- (v105);
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+\node[vertex] (v106) at (13.27,4.86) {};
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+\path[comp] (v108) -- (v109);
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+\node[vertex] (v110) at (13.27,7.63) {};
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+\node[vertex] (v112) at (14.13,0.69) {};
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+\node[vertex] (v120) at (14.13,6.24) {};
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+\path[comp] (v120) -- (v121);
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+\node[vertex] (v122) at (14.13,7.63) {};
+\node[vertex] (v123) at (14.13,8.32) {};
+\path[comp] (v122) -- (v123);
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+\node[vertex] (v124) at (14.13,9.02) {};
+\node[vertex] (v125) at (14.13,9.71) {};
+\path[comp] (v124) -- (v125);
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+\path[edge] (0,0.00) -- (15.00,0.00);
+\path[edge] (0,0.69) -- (15.00,0.69);
+\path[edge] (0,1.39) -- (15.00,1.39);
+\path[edge] (0,2.08) -- (15.00,2.08);
+\path[edge] (0,2.77) -- (15.00,2.77);
+\path[edge] (0,3.47) -- (15.00,3.47);
+\path[edge] (0,4.16) -- (15.00,4.16);
+\path[edge] (0,4.86) -- (15.00,4.86);
+\path[edge] (0,5.55) -- (15.00,5.55);
+\path[edge] (0,6.24) -- (15.00,6.24);
+\path[edge] (0,6.94) -- (15.00,6.94);
+\path[edge] (0,7.63) -- (15.00,7.63);
+\path[edge] (0,8.32) -- (15.00,8.32);
+\path[edge] (0,9.02) -- (15.00,9.02);
+\path[edge] (0,9.71) -- (15.00,9.71);
+\path[edge] (0,10.40) -- (15.00,10.40);
+\end{tikzpicture}
--- /dev/null
+\begin{tikzpicture}[scale=0.70,auto]
+
+% lower S(4)
+\draw[red box] (1,-.333) rectangle (5.35,3.333);
+% upper S(4)
+\draw[red box] (1,3.667) rectangle (5.35,7.333);
+
+% Recursive comparators
+\draw[green box] (5.85,-.333) rectangle (7.90,7.333);
+
+% lower merge block
+\draw[blue box] (8.40,-.333) rectangle (11.25,3.333);
+% upper merge block
+\draw[blue box] (8.40,3.667) rectangle (11.25,7.333);
+
+% stage 0
+\node[vertex] (v0) at (1.50,0) {};
+\node[vertex] (v1) at (1.50,1) {};
+\path[comp] (v0) -- (v1);
+
+\node[vertex] (v2) at (1.50,2) {};
+\node[vertex] (v3) at (1.50,3) {};
+\path[comp] (v2) -- (v3);
+
+\node[vertex] (v4) at (1.50,4) {};
+\node[vertex] (v5) at (1.50,5) {};
+\path[comp] (v4) -- (v5);
+
+\node[vertex] (v6) at (1.50,6) {};
+\node[vertex] (v7) at (1.50,7) {};
+\path[comp] (v6) -- (v7);
+
+% stage 1
+\node[vertex] (v8) at (3.00,0) {};
+\node[vertex] (v9) at (3.00,3) {};
+\path[comp] (v8) -- (v9);
+
+\node[vertex] (v10) at (3.35,1) {};
+\node[vertex] (v11) at (3.35,2) {};
+\path[comp] (v10) -- (v11);
+
+\node[vertex] (v12) at (3.00,4) {};
+\node[vertex] (v13) at (3.00,7) {};
+\path[comp] (v12) -- (v13);
+
+\node[vertex] (v14) at (3.35,5) {};
+\node[vertex] (v15) at (3.35,6) {};
+\path[comp] (v14) -- (v15);
+
+% stage 2
+\node[vertex] (v16) at (4.85,0) {};
+\node[vertex] (v17) at (4.85,1) {};
+\path[comp] (v16) -- (v17);
+
+\node[vertex] (v18) at (4.85,2) {};
+\node[vertex] (v19) at (4.85,3) {};
+\path[comp] (v18) -- (v19);
+
+\node[vertex] (v20) at (4.85,4) {};
+\node[vertex] (v21) at (4.85,5) {};
+\path[comp] (v20) -- (v21);
+
+\node[vertex] (v22) at (4.85,6) {};
+\node[vertex] (v23) at (4.85,7) {};
+\path[comp] (v22) -- (v23);
+
+% stage 3
+\node[vertex] (v24) at (6.35,0) {};
+\node[vertex] (v25) at (6.35,7) {};
+\path[comp] (v24) -- (v25);
+
+\node[vertex] (v26) at (6.70,1) {};
+\node[vertex] (v27) at (6.70,6) {};
+\path[comp] (v26) -- (v27);
+
+\node[vertex] (v28) at (7.05,2) {};
+\node[vertex] (v29) at (7.05,5) {};
+\path[comp] (v28) -- (v29);
+
+\node[vertex] (v30) at (7.40,3) {};
+\node[vertex] (v31) at (7.40,4) {};
+\path[comp] (v30) -- (v31);
+
+% stage 4
+\node[vertex] (v32) at (8.90,0) {};
+\node[vertex] (v33) at (8.90,2) {};
+\path[comp] (v32) -- (v33);
+
+\node[vertex] (v34) at (9.25,1) {};
+\node[vertex] (v35) at (9.25,3) {};
+\path[comp] (v34) -- (v35);
+
+\node[vertex] (v36) at (8.90,4) {};
+\node[vertex] (v37) at (8.90,6) {};
+\path[comp] (v36) -- (v37);
+
+\node[vertex] (v38) at (9.25,5) {};
+\node[vertex] (v39) at (9.25,7) {};
+\path[comp] (v38) -- (v39);
+
+\node[vertex] (v40) at (10.75,0) {};
+\node[vertex] (v41) at (10.75,1) {};
+\path[comp] (v40) -- (v41);
+
+\node[vertex] (v42) at (10.75,2) {};
+\node[vertex] (v43) at (10.75,3) {};
+\path[comp] (v42) -- (v43);
+
+\node[vertex] (v44) at (10.75,4) {};
+\node[vertex] (v45) at (10.75,5) {};
+\path[comp] (v44) -- (v45);
+
+\node[vertex] (v46) at (10.75,6) {};
+\node[vertex] (v47) at (10.75,7) {};
+\path[comp] (v46) -- (v47);
+
+\path[edge] (0,0) -- (12.25,0);
+\path[edge] (0,1) -- (12.25,1);
+\path[edge] (0,2) -- (12.25,2);
+\path[edge] (0,3) -- (12.25,3);
+\path[edge] (0,4) -- (12.25,4);
+\path[edge] (0,5) -- (12.25,5);
+\path[edge] (0,6) -- (12.25,6);
+\path[edge] (0,7) -- (12.25,7);
+\end{tikzpicture}
--- /dev/null
+\begin{tikzpicture}[scale=0.50,auto]
+
+% Lines (some with red parts)
+\path[edge] (0,7) -- (13.50,7);
+\path[edge] (0,6) -- (13.50,6);
+\path[edge] (0,5) -- (13.50,5);
+
+\path[edge,color=red,very thick] (0,4) -- (3,4);
+\path[edge] (3,4) -- (13.50,4);
+
+\path[edge] (0,3) -- (3,3);
+\path[edge,color=red,very thick] (3,3) -- (4.5,3);
+\path[edge] (4.5,3) -- (13.50,3);
+
+\path[edge] (0,2) -- (4.50,2);
+\path[edge,color=red,very thick] (4.50,2) -- (6,2);
+\path[edge] (6,2) -- (13.50,2);
+
+\path[edge] (0,1) -- (6,1);
+\path[edge,color=red,very thick] (6,1) -- (7.5,1);
+\path[edge] (7.5,1) -- (13.50,1);
+
+\path[edge] (0,0) -- (7.50,0);
+\path[edge,color=red,very thick] (7.50,0) -- (13.50,0);
+
+% Red comparators
+\foreach \pos in {(3.00,3), (4.50,2), (6.00,1), (7.50,0)}
+{
+ \path[draw,color=red,very thick] \pos -- +(0,1);
+ \draw \pos circle(5pt)[color=red,fill=red] {};
+ \draw \pos+(0,1) circle(5pt)[color=red,fill=red] {};
+}
+
+% Blue comparators
+\foreach \pos in {(1.50,4), (10.50,0)}
+{
+ \path[draw,color=teal,thick] \pos -- +(0,1);
+ \draw \pos circle(5pt)[color=teal,fill=teal] {};
+ \draw \pos+(0,1) circle(5pt)[color=teal,fill=teal] {};
+}
+
+\node[vertex] (v0) at (1.50,0) {};
+\node[vertex] (v1) at (1.50,1) {};
+\path[comp] (v0) -- (v1);
+
+\node[vertex] (v2) at (1.50,2) {};
+\node[vertex] (v3) at (1.50,3) {};
+\path[comp] (v2) -- (v3);
+
+\node[vertex] (v6) at (1.50,6) {};
+\node[vertex] (v7) at (1.50,7) {};
+\path[comp] (v6) -- (v7);
+
+\node[vertex] (v8) at (3.00,1) {};
+\node[vertex] (v9) at (3.00,2) {};
+\path[comp] (v8) -- (v9);
+
+\node[vertex] (v12) at (3.00,5) {};
+\node[vertex] (v13) at (3.00,6) {};
+\path[comp] (v12) -- (v13);
+
+\node[vertex] (v14) at (4.50,0) {};
+\node[vertex] (v15) at (4.50,1) {};
+\path[comp] (v14) -- (v15);
+
+\node[vertex] (v18) at (4.50,4) {};
+\node[vertex] (v19) at (4.50,5) {};
+\path[comp] (v18) -- (v19);
+
+\node[vertex] (v20) at (4.50,6) {};
+\node[vertex] (v21) at (4.50,7) {};
+\path[comp] (v20) -- (v21);
+
+\node[vertex] (v24) at (6.00,3) {};
+\node[vertex] (v25) at (6.00,4) {};
+\path[comp] (v24) -- (v25);
+
+\node[vertex] (v26) at (6.00,5) {};
+\node[vertex] (v27) at (6.00,6) {};
+\path[comp] (v26) -- (v27);
+
+\node[vertex] (v30) at (7.50,2) {};
+\node[vertex] (v31) at (7.50,3) {};
+\path[comp] (v30) -- (v31);
+
+\node[vertex] (v32) at (7.50,4) {};
+\node[vertex] (v33) at (7.50,5) {};
+\path[comp] (v32) -- (v33);
+
+\node[vertex] (v34) at (7.50,6) {};
+\node[vertex] (v35) at (7.50,7) {};
+\path[comp] (v34) -- (v35);
+
+\node[vertex] (v36) at (9.00,1) {};
+\node[vertex] (v37) at (9.00,2) {};
+\path[comp] (v36) -- (v37);
+
+\node[vertex] (v38) at (9.00,3) {};
+\node[vertex] (v39) at (9.00,4) {};
+\path[comp] (v38) -- (v39);
+
+\node[vertex] (v40) at (9.00,5) {};
+\node[vertex] (v41) at (9.00,6) {};
+\path[comp] (v40) -- (v41);
+
+\node[vertex] (v44) at (10.50,2) {};
+\node[vertex] (v45) at (10.50,3) {};
+\path[comp] (v44) -- (v45);
+
+\node[vertex] (v46) at (10.50,4) {};
+\node[vertex] (v47) at (10.50,5) {};
+\path[comp] (v46) -- (v47);
+
+\node[vertex] (v48) at (10.50,6) {};
+\node[vertex] (v49) at (10.50,7) {};
+\path[comp] (v48) -- (v49);
+
+\node[vertex] (v50) at (12.00,1) {};
+\node[vertex] (v51) at (12.00,2) {};
+\path[comp] (v50) -- (v51);
+
+\node[vertex] (v52) at (12.00,3) {};
+\node[vertex] (v53) at (12.00,4) {};
+\path[comp] (v52) -- (v53);
+
+\node[vertex] (v54) at (12.00,5) {};
+\node[vertex] (v55) at (12.00,6) {};
+\path[comp] (v54) -- (v55);
+
+\end{tikzpicture}
--- /dev/null
+\begin{tikzpicture}[scale=0.50,auto]
+
+% Lines (some with red parts)
+\path[edge] (0,7) -- (13.50,7);
+\path[edge] (0,6) -- (13.50,6);
+\path[edge] (0,5) -- (13.50,5);
+
+\path[edge,rounded corners] (0,3) -- (2.9,3) -- (3.1,4) -- (13.50,4);
+\path[edge,rounded corners] (0,2) -- (4.4,2) -- (4.6,3) -- (13.50,3);
+\path[edge,rounded corners] (0,1) -- (5.9,1) -- (6.1,2) -- (13.50,2);
+\path[edge,rounded corners] (0,0) -- (7.4,0) -- (7.6,1) -- (13.50,1);
+
+\path[draw,very thick,color=red,rounded corners]
+ (0,4) -- (2.9,4)
+ -- (3.1,3) -- (4.4,3)
+ -- (4.6,2) -- (5.9,2)
+ -- (6.1,1) -- (7.4,1)
+ -- (7.6,0) -- (13.5,0);
+
+\node[vertex] (v0) at (1.50,0) {};
+\node[vertex] (v1) at (1.50,1) {};
+\path[comp] (v0) -- (v1);
+
+\node[vertex] (v2) at (1.50,2) {};
+\node[vertex] (v3) at (1.50,3) {};
+\path[comp] (v2) -- (v3);
+
+\node[vertex] (v6) at (1.50,6) {};
+\node[vertex] (v7) at (1.50,7) {};
+\path[comp] (v6) -- (v7);
+
+\node[vertex] (v8) at (3.00,1) {};
+\node[vertex] (v9) at (3.00,2) {};
+\path[comp] (v8) -- (v9);
+
+\node[vertex] (v12) at (3.00,5) {};
+\node[vertex] (v13) at (3.00,6) {};
+\path[comp] (v12) -- (v13);
+
+\node[vertex] (v14) at (4.50,0) {};
+\node[vertex] (v15) at (4.50,1) {};
+\path[comp] (v14) -- (v15);
+
+\node[vertex] (v18) at (4.50,4) {};
+\node[vertex] (v19) at (4.50,5) {};
+\path[comp] (v18) -- (v19);
+
+\node[vertex] (v20) at (4.50,6) {};
+\node[vertex] (v21) at (4.50,7) {};
+\path[comp] (v20) -- (v21);
+
+\node[vertex] (v24) at (6.00,3) {};
+\node[vertex] (v25) at (6.00,4) {};
+\path[comp] (v24) -- (v25);
+
+\node[vertex] (v26) at (6.00,5) {};
+\node[vertex] (v27) at (6.00,6) {};
+\path[comp] (v26) -- (v27);
+
+\node[vertex] (v30) at (7.50,2) {};
+\node[vertex] (v31) at (7.50,3) {};
+\path[comp] (v30) -- (v31);
+
+\node[vertex] (v32) at (7.50,4) {};
+\node[vertex] (v33) at (7.50,5) {};
+\path[comp] (v32) -- (v33);
+
+\node[vertex] (v34) at (7.50,6) {};
+\node[vertex] (v35) at (7.50,7) {};
+\path[comp] (v34) -- (v35);
+
+\node[vertex] (v36) at (9.00,1) {};
+\node[vertex] (v37) at (9.00,2) {};
+\path[comp] (v36) -- (v37);
+
+\node[vertex] (v38) at (9.00,3) {};
+\node[vertex] (v39) at (9.00,4) {};
+\path[comp] (v38) -- (v39);
+
+\node[vertex] (v40) at (9.00,5) {};
+\node[vertex] (v41) at (9.00,6) {};
+\path[comp] (v40) -- (v41);
+
+\node[vertex] (v44) at (10.50,2) {};
+\node[vertex] (v45) at (10.50,3) {};
+\path[comp] (v44) -- (v45);
+
+\node[vertex] (v46) at (10.50,4) {};
+\node[vertex] (v47) at (10.50,5) {};
+\path[comp] (v46) -- (v47);
+
+\node[vertex] (v48) at (10.50,6) {};
+\node[vertex] (v49) at (10.50,7) {};
+\path[comp] (v48) -- (v49);
+
+\node[vertex] (v50) at (12.00,1) {};
+\node[vertex] (v51) at (12.00,2) {};
+\path[comp] (v50) -- (v51);
+
+\node[vertex] (v52) at (12.00,3) {};
+\node[vertex] (v53) at (12.00,4) {};
+\path[comp] (v52) -- (v53);
+
+\node[vertex] (v54) at (12.00,5) {};
+\node[vertex] (v55) at (12.00,6) {};
+\path[comp] (v54) -- (v55);
+
+\end{tikzpicture}
--- /dev/null
+\begin{tikzpicture}[scale=0.50,auto]
+
+\path[use as bounding box] (0,0) -- (13.50,7.5);
+
+\path[edge] (0,7) -- (13.50,7);
+\path[edge] (0,6) -- (13.50,6);
+\path[edge] (0,5) -- (13.50,5);
+
+\path[edge,rounded corners] (0,3) -- (2.9,3) -- (3.1,4) -- (13.50,4);
+\path[edge,rounded corners] (0,2) -- (4.4,2) -- (4.6,3) -- (13.50,3);
+\path[edge,rounded corners] (0,1) -- (5.9,1) -- (6.1,2) -- (13.50,2);
+\path[edge,rounded corners] (0,0) -- (7.4,0) -- (7.6,1) -- (13.50,1);
+
+% Moved (purple) comparators
+\foreach \pos in {(1.5,0), (1.5,2), (3,1), (4.5,0)}
+{
+ \path[comp,color=purple] \pos -- +(0,1);
+ \draw \pos circle(5pt)[color=purple,fill=purple] {};
+ \draw \pos+(0,1) circle(5pt)[color=purple,fill=purple] {};
+}
+
+\node[vertex] (v6) at (1.50,6) {};
+\node[vertex] (v7) at (1.50,7) {};
+\path[comp] (v6) -- (v7);
+
+\node[vertex] (v12) at (3.00,5) {};
+\node[vertex] (v13) at (3.00,6) {};
+\path[comp] (v12) -- (v13);
+
+\node[vertex] (v18) at (4.50,4) {};
+\node[vertex] (v19) at (4.50,5) {};
+\path[comp] (v18) -- (v19);
+
+\node[vertex] (v20) at (4.50,6) {};
+\node[vertex] (v21) at (4.50,7) {};
+\path[comp] (v20) -- (v21);
+
+\node[vertex] (v24) at (6.00,3) {};
+\node[vertex] (v25) at (6.00,4) {};
+\path[comp] (v24) -- (v25);
+
+\node[vertex] (v26) at (6.00,5) {};
+\node[vertex] (v27) at (6.00,6) {};
+\path[comp] (v26) -- (v27);
+
+\node[vertex] (v30) at (7.50,2) {};
+\node[vertex] (v31) at (7.50,3) {};
+\path[comp] (v30) -- (v31);
+
+\node[vertex] (v32) at (7.50,4) {};
+\node[vertex] (v33) at (7.50,5) {};
+\path[comp] (v32) -- (v33);
+
+\node[vertex] (v34) at (7.50,6) {};
+\node[vertex] (v35) at (7.50,7) {};
+\path[comp] (v34) -- (v35);
+
+\node[vertex] (v36) at (9.00,1) {};
+\node[vertex] (v37) at (9.00,2) {};
+\path[comp] (v36) -- (v37);
+
+\node[vertex] (v38) at (9.00,3) {};
+\node[vertex] (v39) at (9.00,4) {};
+\path[comp] (v38) -- (v39);
+
+\node[vertex] (v40) at (9.00,5) {};
+\node[vertex] (v41) at (9.00,6) {};
+\path[comp] (v40) -- (v41);
+
+\node[vertex] (v44) at (10.50,2) {};
+\node[vertex] (v45) at (10.50,3) {};
+\path[comp] (v44) -- (v45);
+
+\node[vertex] (v46) at (10.50,4) {};
+\node[vertex] (v47) at (10.50,5) {};
+\path[comp] (v46) -- (v47);
+
+\node[vertex] (v48) at (10.50,6) {};
+\node[vertex] (v49) at (10.50,7) {};
+\path[comp] (v48) -- (v49);
+
+\node[vertex] (v50) at (12.00,1) {};
+\node[vertex] (v51) at (12.00,2) {};
+\path[comp] (v50) -- (v51);
+
+\node[vertex] (v52) at (12.00,3) {};
+\node[vertex] (v53) at (12.00,4) {};
+\path[comp] (v52) -- (v53);
+
+\node[vertex] (v54) at (12.00,5) {};
+\node[vertex] (v55) at (12.00,6) {};
+\path[comp] (v54) -- (v55);
+
+\end{tikzpicture}
--- /dev/null
+\begin{tikzpicture}[scale=0.50,auto]
+
+\path[use as bounding box] (0,0) -- (13.50,7.5);
+
+\draw[blue box] (2.5,.5) rectangle (12.5,7.5);
+
+\path[edge] (0,7) -- (13.50,7);
+\path[edge] (0,6) -- (13.50,6);
+\path[edge] (0,5) -- (13.50,5);
+\path[edge] (0,4) -- (13.50,4);
+\path[edge] (0,3) -- (13.50,3);
+\path[edge] (0,2) -- (13.50,2);
+\path[edge] (0,1) -- (13.50,1);
+
+% Moved (purple) comparators
+\foreach \pos in {(3,1), (3,3), (4.5,2), (6,1)}
+{
+ \path[comp,color=purple] \pos -- +(0,1);
+ \draw \pos circle(5pt)[color=purple,fill=purple] {};
+ \draw \pos+(0,1) circle(5pt)[color=purple,fill=purple] {};
+}
+
+\node[vertex] (v6) at (1.50,6) {};
+\node[vertex] (v7) at (1.50,7) {};
+\path[comp] (v6) -- (v7);
+
+\node[vertex] (v12) at (3.00,5) {};
+\node[vertex] (v13) at (3.00,6) {};
+\path[comp] (v12) -- (v13);
+
+\node[vertex] (v18) at (4.50,4) {};
+\node[vertex] (v19) at (4.50,5) {};
+\path[comp] (v18) -- (v19);
+
+\node[vertex] (v20) at (4.50,6) {};
+\node[vertex] (v21) at (4.50,7) {};
+\path[comp] (v20) -- (v21);
+
+\node[vertex] (v24) at (6.00,3) {};
+\node[vertex] (v25) at (6.00,4) {};
+\path[comp] (v24) -- (v25);
+
+\node[vertex] (v26) at (6.00,5) {};
+\node[vertex] (v27) at (6.00,6) {};
+\path[comp] (v26) -- (v27);
+
+\node[vertex] (v30) at (7.50,2) {};
+\node[vertex] (v31) at (7.50,3) {};
+\path[comp] (v30) -- (v31);
+
+\node[vertex] (v32) at (7.50,4) {};
+\node[vertex] (v33) at (7.50,5) {};
+\path[comp] (v32) -- (v33);
+
+\node[vertex] (v34) at (7.50,6) {};
+\node[vertex] (v35) at (7.50,7) {};
+\path[comp] (v34) -- (v35);
+
+\node[vertex] (v36) at (9.00,1) {};
+\node[vertex] (v37) at (9.00,2) {};
+\path[comp] (v36) -- (v37);
+
+\node[vertex] (v38) at (9.00,3) {};
+\node[vertex] (v39) at (9.00,4) {};
+\path[comp] (v38) -- (v39);
+
+\node[vertex] (v40) at (9.00,5) {};
+\node[vertex] (v41) at (9.00,6) {};
+\path[comp] (v40) -- (v41);
+
+\node[vertex] (v44) at (10.50,2) {};
+\node[vertex] (v45) at (10.50,3) {};
+\path[comp] (v44) -- (v45);
+
+\node[vertex] (v46) at (10.50,4) {};
+\node[vertex] (v47) at (10.50,5) {};
+\path[comp] (v46) -- (v47);
+
+\node[vertex] (v48) at (10.50,6) {};
+\node[vertex] (v49) at (10.50,7) {};
+\path[comp] (v48) -- (v49);
+
+\node[vertex] (v50) at (12.00,1) {};
+\node[vertex] (v51) at (12.00,2) {};
+\path[comp] (v50) -- (v51);
+
+\node[vertex] (v52) at (12.00,3) {};
+\node[vertex] (v53) at (12.00,4) {};
+\path[comp] (v52) -- (v53);
+
+\node[vertex] (v54) at (12.00,5) {};
+\node[vertex] (v55) at (12.00,6) {};
+\path[comp] (v54) -- (v55);
+
+\end{tikzpicture}
projects / diplomarbeit.git / commitdiff