# johnny/phr

Aufgabe 19 & 21

Thomas Monninger authored and Thomas Monninger committed Dec 21, 2009
1 parent 8629634 commit f8713d5a83e8f1528875a41bd58e9e1335c09d21
Showing with 375 additions and 1 deletion.
1. b8/A17/Mergesort
2. +2 −1 b8/A17/mergesort.c
3. +1 −0 b9/a19.aux
4. +331 −0 b9/a19.log
5. b9/a19.pdf
6. +41 −0 b9/a19.tex
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 @@ -3,6 +3,7 @@ #include #include #include + void merge(int l, int r, int* a) { int c, i,j,k; @@ -23,7 +24,7 @@ int* Mergesort(int* myList, int n, int rank, int psize, int para) return myList; } else { if(rank
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output out of 10000 (max. 10000000) + Binary file not shown.  @@ -0,0 +1,41 @@ +\documentclass{article} +\usepackage{tabularx} +\usepackage[utf8]{inputenc} +\begin{document} +\pagestyle{myheadings} +\markright{PHLR - Blatt 9, Jonas von Andrian, Thomas Monninger} +{\bf Aufgabe 19}\\ +{\bf a)}\\ +\begin{tabularx}{\textwidth}{|X|X|X|X|} +\hline + & Ring & Feld & Hypercube \\ +\hline +One-to-all &$(t_s + t_w \cdot n) ld P + t_h(P-1)$&$ld P(t_s + t_w \cdot n) + t_h \cdot 2(\sqrt{P}-1)$&$(t_s+t_h+t_w \cdot n) ld P$\\ +\hline +All-to-all-broadcast &$2 ld P(t_s+t_h)+2t_wn(P-1)$&$2 ld P(t_s+t_h)+2t_wn(P-1)$&$2 ld P(t_s+t_h)+2t_wn(P-1)$\\ +\hline +One-to-all mit individuellen Nachrichten & & &$t_wn(P-1)$\\ +\hline +All-to-all mit individuellen Nachrichten & & &$2(t_s+t_h) ld P+t_wnP ld P$\\ +\hline +\end{tabularx} +{\bf b)}\\ +Vorteile des \textit{Cut-Through-Routing} gegenüber dem \textit{Store-And-Forward-Routing} ergeben sich für die Ring- und 2D-Feld-Topologie, jedoch nicht für den Hypercube. + +{\bf Aufgabe 21}\\ +{\bf a)}\\ +$t_{seq}=O(4n)$\\ +{\bf b)}\\ +$n_{seq}=13$\\ +$n_{par}=4$\\ +{\bf c)}\\ +$n_{seq}=6$\\ +$n_{par}=6$\\ +{\bf d)}\\ +$S_b = \frac{13}{5}$\\ +$S_c = 1$\\ +Ja, es kann hierbei Anomalien im Speedup geben. Auf der linken Seite der Abbildung 03 ist, wie man im Speedup$S_b\$ sieht, bereits eine Anomalie des Speedups zu erkennen.\\ +{\bf e)}\\ +Ein superlinearer Speedup tritt dann auf, wenn der linke Teilbaum groß ist und sich der gesuchte Knoten im rechten Teilbaum befindet. Das parallele Verfahren bricht ab, sobald der gesuchte Knoten im rechten Teilbaum gefunden +wurde. Das sequenzielle Verfahren hingegen läuft (nahezu) endlos weiter. +\end{document}