From a7fdba0c01dc2dcd64d4c9ccd6b20f43ba707700 Mon Sep 17 00:00:00 2001 From: Martin Thoma Date: Wed, 5 Mar 2014 11:47:14 +0100 Subject: [PATCH] =?UTF-8?q?Abschnitt=20=C3=BCber=20Parallelit=C3=A4t=20hin?= =?UTF-8?q?zugef=C3=BCgt?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- documents/Programmierparadigmen/C.tex | 1 + documents/Programmierparadigmen/MPI.tex | 1 + .../Programmierparadigmen/Parallelitaet.tex | 143 ++++++++++++++++++ .../Programmierparadigmen.pdf | Bin 580452 -> 594546 bytes .../Programmierparadigmen.tex | 3 + 5 files changed, 148 insertions(+) create mode 100644 documents/Programmierparadigmen/Parallelitaet.tex diff --git a/documents/Programmierparadigmen/C.tex b/documents/Programmierparadigmen/C.tex index 561a3ca..8734671 100644 --- a/documents/Programmierparadigmen/C.tex +++ b/documents/Programmierparadigmen/C.tex @@ -1,3 +1,4 @@ +%!TEX root = Programmierparadigmen.tex \chapter{C} \index{C|(} C ist eine imperative Programmiersprache. Sie wurde in vielen Standards diff --git a/documents/Programmierparadigmen/MPI.tex b/documents/Programmierparadigmen/MPI.tex index 2a3f8ba..ddd163f 100644 --- a/documents/Programmierparadigmen/MPI.tex +++ b/documents/Programmierparadigmen/MPI.tex @@ -1,3 +1,4 @@ +%!TEX root = Programmierparadigmen.tex \chapter{MPI} \index{MPI|(} diff --git a/documents/Programmierparadigmen/Parallelitaet.tex b/documents/Programmierparadigmen/Parallelitaet.tex new file mode 100644 index 0000000..41236c5 --- /dev/null +++ b/documents/Programmierparadigmen/Parallelitaet.tex @@ -0,0 +1,143 @@ +%!TEX root = Programmierparadigmen.tex +\chapter{Parallelität} +\index{Parallelität|(} +Systeme mit mehreren Prozessoren sind heutzutage weit verbreitet. Inzwischen +sind sowohl in Desktop-PCs als auch Laptops, Tablets und Smartphones +\enquote{Multicore-CPUs} verbaut. Daher sollten auch Programmierer in der Lage +sein, Programme für mehrere Kerne zu entwickeln. + +Parallelverarbeitung kann auf mehreren Ebenen statt finden: +\begin{itemize} + \item \textbf{Bit-Ebene}: Werden auf 32-Bit Computern \texttt{long long}, also + 64-Bit Zahlen, addiert, so werden parallel zwei 32-Bit Additionen durchgeführt und + das carry-flag benutzt. + \item \textbf{Anweisungs-Ebene}: Die Ausführung von Anweisungen in der CPU + besteht aus mehreren Phasen (Instruction Fetch, Decode, Execution, Write-Back). + Besteht zwischen aufeinanderfolgenden Anweisungen keine Abhängigkeit, + so kann der Instruction Fetch-Teil einer zweiten Anweisung parallel zum + Decode-Teil einer ersten Anweisung geschehen. Das nennt man Pipelining\xindex{Pipelining}. + \item \textbf{Datenebene}: Es kommt immer wieder vor, dass man in Schleifen + eine Operation für jedes Objekt eines Contaitainers (z.~B. einer Liste) + durchführen muss. Zwischen den Anweisungen verschiedener Schleifendurchläufe + besteht dann eventuell keine Abhängigkeit. Dann können alle Schleifenaufrufe + parallel durchgeführt werden. + \item \textbf{Verarbeitungsebene}: Verschiedene Programme sind unabhängig + von einander. +\end{itemize} + +Gerade bei dem letzten Punkt ist zu beachten, dass echt parallele Ausführung nicht mit \textit{verzahnter Ausführung}\xindex{verzahnt} zu verwechseln ist. Auch bei Systemen mit nur einer CPU und einem Kern kann man gleichzeitig den Browser nutzen und einen Film über eine Multimedia-Anwendung laufen lassen. Dabei wechselt der Scheduler sehr schnell zwischen den verschiedenen +Anwendungen, sodass es sich so anfühlt, als würden die Programme echt parallel +ausgeführt werden. + +Weitere Informationen zu Pipelining gibt es in der Vorlesung \enquote{Rechnerorganisation} +bzw. \enquote{Digitaltechnik und Entwurfsverfahren} (zu der auch ein exzellentes Skript angeboten wird). Informationen über Schedulung werden in der Vorlesung \enquote{Betriebssysteme} +vermittelt. + +\section{Architekturen} +Es gibt zwei Ansätze, wie man Parallelrechner entwickeln kann: +\begin{itemize} + \item \textbf{Gemeinsamer Speicher}: In diesem Fall kann jeder Prozessor + jede Speicherzelle ansprechen. Dies ist bei Multicore-CPUs der Fall. + \item \textbf{Verteilter Speicher}: Es ist auch möglich, dass jeder Prozessor + seinen eigenen Speicher hat, der nur ihm zugänglich ist. In diesem Fall + schicken die Prozessoren Nachrichten (engl. \textit{message passing}\xindex{message passing}). Diese Technik wird in Clustern eingesetzt. +\end{itemize} + +Eine weitere Art, wie man Parallelverarbeitung klassifizieren kann, ist anhand +der verwendeten Architektur. Der der üblichen, sequentiellen Art der Programmierung, +bei der jeder Befehl nach einander ausgeführt wird, liegt die sog. +\textbf{Von-Neumann-Architektur}\xindex{Von-Neumann-Architektur} zugrunde. +Bei der Programmierung von parallel laufenden Anwendungen kann man das \textbf{PRAM-Modell}\xindex{PRAM-Modell} (kurz für \textit{Parallel Random Access Machine}) zugrunde legen. +In diesem Modell geht man von einer beliebigen Anahl an Prozessoren aus, die +über lokalen Speicher verfügen und synchronen Zugriff auf einen gemeinsamen +Speicher haben. + +Anhand der \textbf{Flynn'schen Klassifikation}\xindex{Flynn'sche Klassifikation} +können Rechnerarchitekturen in vier Kategorien unterteilt werden: + +\begin{table}[h]\xindex{SISD}\xindex{MISD}\xindex{SIMI}\xindex{MIMD} + \centering + \begin{tabular}{l|ll} + ~ & Single Instruction & Multiple Instruction \\ \hline + Single Data & SISD & MISD \\ + Multiple Data & SIMI & MIMD \\ + \end{tabular} +\end{table} + +Dabei wird die Von-Neumann-Architektur als \textit{SISD-Architektur} und die +PRAM-Architektur als \textit{SIMD-Architektur} klassifiziert. Es ist so zu +verstehen, dass ein einzelner Befehl auf verschiedene Daten angewendet wird. + +Bei heutigen Multicore-Rechnern liegt MIMD vor. + +MISD ist nicht so richtig sinnvoll. + +\begin{definition}[Nick's Class]\index{NC|see{Nick's Class}}\xindex{Nick's Class}% + Nick's Class (in Zeichen: $\mathcal{NC}$) ist die Klasse aller Probleme, + die im PRAM-Modell in logarithmischer Laufzeit lösbar sind. +\end{definition} + +\begin{beispiel}[Nick's Class]% + Folgende Probleme sind in $\mathcal{NC}$: + \begin{bspenum} + \item Die Addition, Multiplikation und Division von Ganzzahlen, + \item Matrixmultiplikation, die Berechnung von Determinanten und Inversen, + \item ausschließlich Probleme aus $\mathcal{P}$, also: $\mathcal{NC} \subseteq \mathcal{P}$ + \end{bspenum} + + Es ist nicht klar, ob $\mathcal{P} \subseteq \mathcal{NC}$ gilt. Bisher + wurde also noch kein Problem $P \in \mathcal{P}$ gefunden mit $P \notin \mathcal{NC}$. +\end{beispiel} + +\section{Prozesskommunikation} +Die Prozesskommunikation wird durch einige Probleme erschwert: + +\begin{definition}[Wettlaufsituation]\xindex{Wettlaufsituation}\index{Race-Condition|see{Wettlaufsituation}}% + Ist das Ergebnis einer Operation vom zeitlichen Ablauf der Einzeloperationen + abhängig, so liegt eine Wettlaufsituation vor. +\end{definition} + +\begin{beispiel}[Wettlaufsituation] + Angenommen, man hat ein Bankkonto mit einem Stand von $\num{2000}$ Euro. + Auf dieses Konto wird am Monatsende ein Gehalt von $\num{800}$ Euro eingezahlt + und die Miete von $\num{600}$ Euro abgehoben. Nun stelle man sich folgende + beiden Szenarien vor: + + \begin{table}[h] + \centering + \begin{tabular}{c|l|l|l} + $t$ & Prozess 1: Lohn & Prozess 2: Miete & Kontostand \\ \hline + 1 &Lade Kontostand & Lade Kontostand & 2000 \\ + 2 & Addiere Lohn & ~ & 2000 \\ + 3 & Speichere Kontostand & ~ & 2800 \\ + 4 & ~ & Subtrahiere Miete & 2800 \\ + 5 & ~ & Speichere Kontostand & 1400 \\ + \end{tabular} + \end{table} + + Dieses Problem existiert nicht nur bei echt parallelen Anwendungen, sondern + auch bei zeitlich verzahnten Anwendungen. +\end{beispiel} + +\begin{definition}[Semaphore]\xindex{Semaphore}% + Eine Semaphore $S=(c, r, f, L)$ ist eine Datenstruktur, die aus einer Ganzzahl, den beiden + atomaren Operationen $r$ = \enquote{reservieren probieren} und $f$ = \enquote{freigeben} + sowie einer Liste $L$ besteht. + + $r$ gibt entweder Wahr oder Falsch zurück um zu zeigen, ob das reservieren + erfolgreich war. Im Erfolgsfall wird $c$ um $1$ verringert. Es wird genau + dann Wahr zurück gegeben, wenn $c$ positiv ist. Wenn Wahr zurückgegeben wird, + dann wird das aufrufende Objekt der Liste hinzugefügt. + + $f$ kann nur von Objekten aufgerufen werden, die in $L$ sind. Wird $f$ von + $o \in L$ aufgerufen, wird $o$ aus $L$ entfernt und $c$ um eins erhöht. +\end{definition} + +Semaphoren können eingesetzt werden um Wettlaufsituationen zu verhindern. + +\begin{definition}[Monitor]\xindex{Monitor}% + Ein Monitor $M = (m, c)$ ist ein Tupel, wobei $m$ ein Mutex und $c$ eine + Bedingung ist. +\end{definition} + +\index{Parallelität|)} \ No newline at end of file diff --git a/documents/Programmierparadigmen/Programmierparadigmen.pdf b/documents/Programmierparadigmen/Programmierparadigmen.pdf index 921b6c28d5040ab8b878f9199c583eff294c2922..747074f647ee7521f8202e04cf69a11478cd6b3e 100644 GIT binary patch delta 249392 zcmZs?V{oNQ*e)E~*2FefY}>YNbH$!$#kTECoJ?#_Y)_m_oH={%_dDOII(4eL>gl?F zbX8Y9eRW^BkJ>5jODU5iz}YjBE5PZ2XXdcy zFtqn#^7i(kv7A1(IRSxl^TjrWIOh<>oLhPBCqG(J@GU91=mH4YvrB0bZ$!vJrIhex za3rSeYU$y)r9?4kGLS{hX*iU5R5Mr!t>7@u`Kg2Yq{meFvU;@a|E!7J?kEN9xq@h- zY)->&beyoOaEGz>q#19-qWM!-7wIszr{8Rv2%I0YOjBfyT+=50}u9L^%N$f?L%X 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+\sisetup{locale=DE} \usepackage{shortcuts} \usepackage{fancyhdr} @@ -96,6 +98,7 @@ \input{Logik} \input{lambda} \input{Typinferenz} +\input{Parallelitaet} \input{Haskell} \input{Prolog} \input{Scala}