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Aufgabe 19 & 21

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1 parent 8629634 commit f8713d5a83e8f1528875a41bd58e9e1335c09d21 Thomas Monninger committed Dec 21, 2009
Showing with 375 additions and 1 deletion.
  1. BIN b8/A17/Mergesort
  2. +2 −1 b8/A17/mergesort.c
  3. +1 −0 b9/a19.aux
  4. +331 −0 b9/a19.log
  5. BIN b9/a19.pdf
  6. +41 −0 b9/a19.tex
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3 b8/A17/mergesort.c
@@ -3,6 +3,7 @@
#include <stdio.h>
#include <string.h>
#include <math.h>
+
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<psize-2 && para){
- printf("sending with size %d\n",n/2);
+// printf("sending with size %d\n",n/2);
MPI_Ssend(myList,n/2,MPI_INT,rank+2,0,MPI_COMM_WORLD);
} else Mergesort(myList,n/2,rank,psize,0);
Mergesort(&myList[n/2],n/2,rank,psize,0);
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1 b9/a19.aux
@@ -0,0 +1 @@
+\relax
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+ defining Unicode char U+00C4 (decimal 196)
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+ defining Unicode char U+00C8 (decimal 200)
+ defining Unicode char U+00C9 (decimal 201)
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+ defining Unicode char U+00CB (decimal 203)
+ defining Unicode char U+00CC (decimal 204)
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+ defining Unicode char U+00F4 (decimal 244)
+ defining Unicode char U+00F5 (decimal 245)
+ defining Unicode char U+00F6 (decimal 246)
+ defining Unicode char U+00F8 (decimal 248)
+ defining Unicode char U+00F9 (decimal 249)
+ defining Unicode char U+00FA (decimal 250)
+ defining Unicode char U+00FB (decimal 251)
+ defining Unicode char U+00FC (decimal 252)
+ defining Unicode char U+00FD (decimal 253)
+ defining Unicode char U+00FE (decimal 254)
+ defining Unicode char U+00FF (decimal 255)
+ defining Unicode char U+0102 (decimal 258)
+ defining Unicode char U+0103 (decimal 259)
+ defining Unicode char U+0104 (decimal 260)
+ defining Unicode char U+0105 (decimal 261)
+ defining Unicode char U+0106 (decimal 262)
+ defining Unicode char U+0107 (decimal 263)
+ defining Unicode char U+010C (decimal 268)
+ defining Unicode char U+010D (decimal 269)
+ defining Unicode char U+010E (decimal 270)
+ defining Unicode char U+010F (decimal 271)
+ defining Unicode char U+0110 (decimal 272)
+ defining Unicode char U+0111 (decimal 273)
+ defining Unicode char U+0118 (decimal 280)
+ defining Unicode char U+0119 (decimal 281)
+ defining Unicode char U+011A (decimal 282)
+ defining Unicode char U+011B (decimal 283)
+ defining Unicode char U+011E (decimal 286)
+ defining Unicode char U+011F (decimal 287)
+ defining Unicode char U+0130 (decimal 304)
+ defining Unicode char U+0131 (decimal 305)
+ defining Unicode char U+0132 (decimal 306)
+ defining Unicode char U+0133 (decimal 307)
+ defining Unicode char U+0139 (decimal 313)
+ defining Unicode char U+013A (decimal 314)
+ defining Unicode char U+013D (decimal 317)
+ defining Unicode char U+013E (decimal 318)
+ defining Unicode char U+0141 (decimal 321)
+ defining Unicode char U+0142 (decimal 322)
+ defining Unicode char U+0143 (decimal 323)
+ defining Unicode char U+0144 (decimal 324)
+ defining Unicode char U+0147 (decimal 327)
+ defining Unicode char U+0148 (decimal 328)
+ defining Unicode char U+014A (decimal 330)
+ defining Unicode char U+014B (decimal 331)
+ defining Unicode char U+0150 (decimal 336)
+ defining Unicode char U+0151 (decimal 337)
+ defining Unicode char U+0152 (decimal 338)
+ defining Unicode char U+0153 (decimal 339)
+ defining Unicode char U+0154 (decimal 340)
+ defining Unicode char U+0155 (decimal 341)
+ defining Unicode char U+0158 (decimal 344)
+ defining Unicode char U+0159 (decimal 345)
+ defining Unicode char U+015A (decimal 346)
+ defining Unicode char U+015B (decimal 347)
+ defining Unicode char U+015E (decimal 350)
+ defining Unicode char U+015F (decimal 351)
+ defining Unicode char U+0160 (decimal 352)
+ defining Unicode char U+0161 (decimal 353)
+ defining Unicode char U+0162 (decimal 354)
+ defining Unicode char U+0163 (decimal 355)
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+ defining Unicode char U+016F (decimal 367)
+ defining Unicode char U+0170 (decimal 368)
+ defining Unicode char U+0171 (decimal 369)
+ defining Unicode char U+0178 (decimal 376)
+ defining Unicode char U+0179 (decimal 377)
+ defining Unicode char U+017A (decimal 378)
+ defining Unicode char U+017B (decimal 379)
+ defining Unicode char U+017C (decimal 380)
+ defining Unicode char U+017D (decimal 381)
+ defining Unicode char U+017E (decimal 382)
+ defining Unicode char U+200C (decimal 8204)
+ defining Unicode char U+2013 (decimal 8211)
+ defining Unicode char U+2014 (decimal 8212)
+ defining Unicode char U+2018 (decimal 8216)
+ defining Unicode char U+2019 (decimal 8217)
+ defining Unicode char U+201A (decimal 8218)
+ defining Unicode char U+201C (decimal 8220)
+ defining Unicode char U+201D (decimal 8221)
+ defining Unicode char U+201E (decimal 8222)
+ defining Unicode char U+2030 (decimal 8240)
+ defining Unicode char U+2031 (decimal 8241)
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+)
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+ defining Unicode char U+00C6 (decimal 198)
+ defining Unicode char U+00D8 (decimal 216)
+ defining Unicode char U+00DF (decimal 223)
+ defining Unicode char U+00E6 (decimal 230)
+ defining Unicode char U+00EC (decimal 236)
+ defining Unicode char U+00ED (decimal 237)
+ defining Unicode char U+00EE (decimal 238)
+ defining Unicode char U+00EF (decimal 239)
+ defining Unicode char U+00F8 (decimal 248)
+ defining Unicode char U+0131 (decimal 305)
+ defining Unicode char U+0141 (decimal 321)
+ defining Unicode char U+0142 (decimal 322)
+ defining Unicode char U+0152 (decimal 338)
+ defining Unicode char U+0153 (decimal 339)
+ defining Unicode char U+2013 (decimal 8211)
+ defining Unicode char U+2014 (decimal 8212)
+ defining Unicode char U+2018 (decimal 8216)
+ defining Unicode char U+2019 (decimal 8217)
+ defining Unicode char U+201C (decimal 8220)
+ defining Unicode char U+201D (decimal 8221)
+)
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+)
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+Now handling font encoding U ...
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+ defining Unicode char U+00BA (decimal 186)
+ defining Unicode char U+02C6 (decimal 710)
+ defining Unicode char U+02DC (decimal 732)
+ defining Unicode char U+200C (decimal 8204)
+ defining Unicode char U+2026 (decimal 8230)
+ defining Unicode char U+2122 (decimal 8482)
+ defining Unicode char U+2423 (decimal 9251)
+))
+No file a19.aux.
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+
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+
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+\OT1/cmr/m/n/10 in-di-vidu-ellen
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+
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41 b9/a19.tex
@@ -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}

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