From 80e8df59d6a6f75c313a43e9b822a86e75a0f1fc Mon Sep 17 00:00:00 2001 From: Martin Thoma Date: Sun, 23 Mar 2014 19:28:44 +0100 Subject: [PATCH] =?UTF-8?q?Abschnitt=20=C3=BCber=20Arithmetik=20in=20Prolo?= =?UTF-8?q?g=20hinzugef=C3=BCgt;=20misc?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- documents/Programmierparadigmen/C.tex | 3 +- .../Programmierparadigmen/Compilerbau.tex | 8 +++ documents/Programmierparadigmen/Haskell.tex | 19 +++++-- documents/Programmierparadigmen/Lambda.tex | 31 ++++++++--- documents/Programmierparadigmen/MPI.tex | 14 ++--- .../Programmierparadigmen/Parallelitaet.tex | 1 + .../Programmierparadigmen.pdf | Bin 811688 -> 829821 bytes .../Programmiersprachen.tex | 35 +++++++++++- documents/Programmierparadigmen/Prolog.tex | 52 ++++++++++++++++++ documents/Programmierparadigmen/X10.tex | 13 +++++ .../scripts/haskell/hirsch-index.hs | 6 +- .../haskell/{Intersect.hs => intersect.hs} | 3 +- .../scripts/haskell/pythagorean-triples.hs | 6 ++ .../scripts/prolog/arithmetik-fail.pl | 10 ++++ .../scripts/prolog/arithmetik.pl | 2 + .../scripts/prolog/even.pl | 5 ++ .../scripts/prolog/fibonacci2.pl | 6 ++ .../scripts/prolog/liste-append.pl | 2 + .../scripts/prolog/liste-basic.pl | 3 + .../scripts/prolog/liste-member.pl | 2 + 20 files changed, 194 insertions(+), 27 deletions(-) rename documents/Programmierparadigmen/scripts/haskell/{Intersect.hs => intersect.hs} (84%) create mode 100644 documents/Programmierparadigmen/scripts/haskell/pythagorean-triples.hs create mode 100644 documents/Programmierparadigmen/scripts/prolog/arithmetik-fail.pl create mode 100644 documents/Programmierparadigmen/scripts/prolog/arithmetik.pl create mode 100644 documents/Programmierparadigmen/scripts/prolog/even.pl create mode 100644 documents/Programmierparadigmen/scripts/prolog/fibonacci2.pl create mode 100644 documents/Programmierparadigmen/scripts/prolog/liste-append.pl create mode 100644 documents/Programmierparadigmen/scripts/prolog/liste-basic.pl create mode 100644 documents/Programmierparadigmen/scripts/prolog/liste-member.pl diff --git a/documents/Programmierparadigmen/C.tex b/documents/Programmierparadigmen/C.tex index 26416d9..0b5f794 100644 --- a/documents/Programmierparadigmen/C.tex +++ b/documents/Programmierparadigmen/C.tex @@ -77,8 +77,7 @@ In C gibt es keinen direkten Support für Booleans. } \end{table} \section{Syntax} -\section{Präzedenzregeln} - +\section{Präzedenzregeln}\xindex{Präzedenzregeln}% \begin{tabbing} \textbf{A} \=\enquote{[name] is a\dots}\\ \>\textbf{B.1} \=prenthesis {\color{red}$( )$}\\ diff --git a/documents/Programmierparadigmen/Compilerbau.tex b/documents/Programmierparadigmen/Compilerbau.tex index 866d19c..6aa3dbe 100644 --- a/documents/Programmierparadigmen/Compilerbau.tex +++ b/documents/Programmierparadigmen/Compilerbau.tex @@ -184,4 +184,12 @@ Maschinencode oder Assembler zu erstellen. Dabei muss folgendes beachtet werden: \item \textbf{Nachoptimierung}\todo{?} \end{itemize} +\section{Literatur} +Ich kann das folgende Buch empfehlen: + +\textit{Compiler - Prinzipien, Techniken und Werkzeuge}. Alfred V. Aho, Monica S. Lam, +Ravi Sethi und Jeffry D. Ullman. Pearson Verlag, 2. Auflage, 2008. ISBN 978-3-8273-7097-6. + +Es ist mit über 1200 Seiten zwar etwas dick, aber dafür sehr einfach geschrieben. + \index{Compilerbau|)} \ No newline at end of file diff --git a/documents/Programmierparadigmen/Haskell.tex b/documents/Programmierparadigmen/Haskell.tex index 7b05d25..c2ae47c 100644 --- a/documents/Programmierparadigmen/Haskell.tex +++ b/documents/Programmierparadigmen/Haskell.tex @@ -94,10 +94,12 @@ hat einen Speicherverbrauch von $\mathcal{O}(n)$. Durch einen \item \texttt{head list} gibt den Kopf von \texttt{list} zurück, \texttt{tail list} den Rest: \inputminted[numbersep=5pt, tabsize=4]{haskell}{scripts/haskell/list-basic.sh} - \item \texttt{null list} prüft, ob \texttt{list} leer ist. + \item \texttt{last [1,9,1,3]} gibt 3 zurück. \item \texttt{length list} gibt die Anzahl der Elemente in \texttt{list} zurück. \item \texttt{maximum [1,9,1,3]} gibt 9 zurück (analog: \texttt{minimum}). - \item \texttt{last [1,9,1,3]} gibt 3 zurück. + \item \texttt{null list} prüft, ob \texttt{list} leer ist. + \item \texttt{take 3 [1,2,3,4,5]} gibt \texttt{[1,2,3]} zurück. + \item \texttt{drop 3 [1,2,3,4,5]} gibt \texttt{[4,5]} zurück. \item \texttt{reverse [1,9,1,3]} gibt \texttt{[3,1,9,1]} zurück. \item \texttt{elem item list} gibt zurück, ob sich \texttt{item} in \texttt{list} befindet. \end{itemize} @@ -105,7 +107,7 @@ hat einen Speicherverbrauch von $\mathcal{O}(n)$. Durch einen \subsubsection{Beispiel in der interaktiven Konsole} \inputminted[numbersep=5pt, tabsize=4]{haskell}{scripts/haskell/listenoperationen.sh} -\subsubsection{List-Comprehensions}\xindex{List-Comprehension} +\subsubsection{List-Comprehensions}\xindex{List-Comprehension}% List-Comprehensions sind kurzschreibweisen für Listen, die sich an der Mengenschreibweise in der Mathematik orientieren. So entspricht die Menge @@ -116,6 +118,13 @@ die Menge in etwa folgendem Haskell-Code: \inputminted[numbersep=5pt, tabsize=4]{haskell}{scripts/haskell/list-comprehensions.sh} +\begin{beispiel}[List-Comprehension] + Das folgende Beispiel zeigt, wie man mit List-Comprehensions die unendliche + Liste aller pythagoreischen Tripels erstellen kann: + + \inputminted[numbersep=5pt, tabsize=4]{haskell}{scripts/haskell/pythagorean-triples.hs} +\end{beispiel} + \subsection{Strings} \begin{itemize} \item Strings sind Listen von Zeichen:\\ @@ -227,9 +236,9 @@ wird wie folgt erzeugt: \inputminted[linenos, numbersep=5pt, tabsize=4, frame=lines, label=lauflaengencodierung.hs]{haskell}{scripts/haskell/lauflaengencodierung.hs} -\subsection{Intersections}\xindex{Intersections}% +\subsection{Intersections}\xindex{Intersections}\xindex{List-Comprehension}% -\inputminted[linenos, numbersep=5pt, tabsize=4, frame=lines, label=Intersect.hs]{haskell}{scripts/haskell/Intersect.hs} +\inputminted[linenos, numbersep=5pt, tabsize=4, frame=lines, label=intersect.hs]{haskell}{scripts/haskell/intersect.hs} \subsection{Funktionen höherer Ordnung}\xindex{Folds}\xindex{foldl}\xindex{foldr}\label{bsp:foldl-und-foldr} \inputminted[linenos, numbersep=5pt, tabsize=4, frame=lines, label=folds.hs]{haskell}{scripts/haskell/folds.hs} diff --git a/documents/Programmierparadigmen/Lambda.tex b/documents/Programmierparadigmen/Lambda.tex index f0e823c..7a5b5f4 100644 --- a/documents/Programmierparadigmen/Lambda.tex +++ b/documents/Programmierparadigmen/Lambda.tex @@ -69,23 +69,29 @@ Die Funktionsapplikation sei linksassoziativ. Es gilt also: \begin{definition}[$\beta$-Äquivalenz]\xindex{Reduktion!Beta ($\beta$)}\xindex{Äquivalenz!Beta ($\beta$)}% Eine $\beta$-Reduktion ist die Funktionsanwendung auf einen Redex: - \[(\lambda x. t_1) t_2 \Rightarrow t_1 [x \mapsto t_2]\] + \[(\lambda x. t_1)\ t_2 \Rightarrow t_1 [x \mapsto t_2]\] \end{definition} \begin{beispiel}[$\beta$-Äquivalenz] \begin{defenum} - \item $(\lambda x.x) y \overset{\beta}{\Rightarrow} x[x \mapsto y] = y$ - \item $(\lambda x. x (\lambda x. x)) (y z) \overset{\beta}{\Rightarrow} (x(\lambda x. x))[x \mapsto y z] (y z) (\lambda x. x)$ + \item $(\lambda x.\ x)\ y \overset{\beta}{\Rightarrow} x[x \mapsto y] = y$ + \item $(\lambda x.\ x\ (\lambda x.\ x)) (y\ z) \overset{\beta}{\Rightarrow} (x\ (\lambda x.\ x))[x \mapsto y\ z] (y\ z) (\lambda x.\ x)$ \end{defenum} \end{beispiel} -\begin{definition}[$\eta$-Äquivalenz]\xindex{Reduktion!Eta ($\eta$)}\xindex{Äquivalenz!Eta ($\eta$)}% - Zwei Terme $\lambda x. f~x$ und $f$ heißen $\eta$-Äquivalent, wenn - $x$ nicht freie Variable von $f$ ist. +\begin{definition}[$\eta$-Äquivalenz\footnote{Folie 158}]\xindex{Reduktion!Eta ($\eta$)}\xindex{Äquivalenz!Eta ($\eta$)}% + Die Terme $\lambda x. f~x$ und $f$ heißen $\eta$-Äquivalent, wenn $x \notin FV(f)$ gilt. + + Man schreibt: $\lambda x. f~x \overset{\eta}{=} f$. \end{definition} -\begin{beispiel}[$\eta$-Äquivalenz] - TODO +\begin{beispiel}[$\eta$-Äquivalenz\footnote{Folie 158}]% + \begin{align*} + \lambda x.\ \lambda y.\ f\ z\ x\ y &\overset{\eta}{=} \lambda x.\ f\ z\ x\\ + f\ z &\overset{\eta}{=} \lambda x.\ f\ z\ x\\ + \lambda x.\ x &\overset{\eta}{=} \lambda x.\ (\lambda x.\ x)\ x\\ + \lambda x.\ f\ x\ x &\overset{\eta}{\neq} f\ x + \end{align*} \end{beispiel} \index{Reduktion|)} @@ -365,4 +371,11 @@ und \[\ABS \frac{\Gamma, x: \tau_1 \vdash t: \tau_2 \;\;\; \tau_1 \text{ kein Typschema}}{\Gamma \vdash \lambda x. t: \tau_1 \rightarrow \tau_2}\] -\todo[inline]{Folie 208ff} \ No newline at end of file +\todo[inline]{Folie 208ff} + +\section{Literatur} + +\begin{itemize} + \item \url{http://c2.com/cgi/wiki?FreeVariable} + \item \url{http://www.lambda-bound.com/book/lambdacalc/node9.html} +\end{itemize} \ No newline at end of file diff --git a/documents/Programmierparadigmen/MPI.tex b/documents/Programmierparadigmen/MPI.tex index e24e359..cb12fce 100644 --- a/documents/Programmierparadigmen/MPI.tex +++ b/documents/Programmierparadigmen/MPI.tex @@ -15,7 +15,7 @@ gestartet. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{Funktionen} -\inputminted[numbersep=5pt, tabsize=4]{c}{scripts/mpi/comm-size.c}\xindex{MPI\_Comm\_size} +\inputminted[numbersep=5pt, tabsize=4]{c}{scripts/mpi/comm-size.c}\xindex{MPI\_Comm\_size}% Liefert die Größe des angegebenen Kommunikators; dh. die Anzahl der Prozesse in der Gruppe. \textbf{Parameter} @@ -27,7 +27,7 @@ Liefert die Größe des angegebenen Kommunikators; dh. die Anzahl der Prozesse i \textbf{Beispiel} \inputminted[numbersep=5pt, tabsize=4]{c}{scripts/mpi/comm-size-example.c} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\rule{\textwidth}{0.4pt}\xindex{MPI\_Comm\_rank} +\rule{\textwidth}{0.4pt}\xindex{MPI\_Comm\_rank}% \inputminted[numbersep=5pt, tabsize=4]{c}{scripts/mpi/comm-rank.c} Bestimmt den Rang des rufenden Prozesses innerhalb des Kommunikators. @@ -42,7 +42,7 @@ Der Rang wird von MPI zum Identifizieren eines Prozesses verwendet. Die Rangnumm \textbf{Beispiel} \inputminted[numbersep=5pt, tabsize=4]{c}{scripts/mpi/comm-rank-example.c} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\rule{\textwidth}{0.4pt}\xindex{MPI\_Send} +\rule{\textwidth}{0.4pt}\xindex{MPI\_Send}% \inputminted[numbersep=5pt, tabsize=4]{c}{scripts/mpi/mpi-send.c} Senden einer Nachricht an einen anderen Prozeß innerhalb eines Kommunikators. (Standard-Send) @@ -60,7 +60,7 @@ Ein Kommunikationsvorgang wird durch ein Tripel (Sender, Empfänger, tag) eindeu \textbf{Beispiel} \inputminted[numbersep=5pt, tabsize=4]{c}{scripts/mpi/mpi-send-example.c} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\rule{\textwidth}{0.4pt}\xindex{MPI\_Recv} +\rule{\textwidth}{0.4pt}\xindex{MPI\_Recv}% \inputminted[numbersep=5pt, tabsize=4]{c}{scripts/mpi/mpi-receive.c} Empfangen einer Nachricht (blockierend) @@ -79,7 +79,7 @@ Empfangen einer Nachricht (blockierend) \textbf{Beispiel} \inputminted[numbersep=5pt, tabsize=4]{c}{scripts/mpi/mpi-receive-example.c} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\rule{\textwidth}{0.4pt}\xindex{MPI\_Reduce} +\rule{\textwidth}{0.4pt}\xindex{MPI\_Reduce}% \inputminted[numbersep=5pt, tabsize=4]{c}{scripts/mpi/mpi-reduce.c} Führt eine globale Operation \textbf{op} aus; der Prozeß \enquote{root} erhält das Resultat. @@ -93,7 +93,7 @@ Führt eine globale Operation \textbf{op} aus; der Prozeß \enquote{root} erhäl \item \textbf{comm}: Kommunikator (handle) \end{itemize} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\rule{\textwidth}{0.4pt}\xindex{MPI\_Bcast} +\rule{\textwidth}{0.4pt}\xindex{MPI\_Bcast}% \inputminted[numbersep=5pt, tabsize=4]{c}{scripts/mpi/mpi-bcast.c} Sendet eine Nachricht vom Prozess \texttt{root} an alle anderen Prozesse des angegebenen Kommunikators. @@ -107,7 +107,7 @@ angegebenen Kommunikators. \item \textbf{comm}: Kommunikator (handle) \end{itemize} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\rule{\textwidth}{0.4pt}\xindex{MPI\_Scatter} +\rule{\textwidth}{0.4pt}\xindex{MPI\_Scatter}% \inputminted[numbersep=5pt, tabsize=4]{c}{scripts/mpi/mpi-scatter.c} Verteilt Daten vom Prozess \texttt{root} unter alle anderen Prozesse in der Gruppe, so daß, soweit möglich, alle Prozesse gleich große Anteile erhalten. diff --git a/documents/Programmierparadigmen/Parallelitaet.tex b/documents/Programmierparadigmen/Parallelitaet.tex index 9e2a8b2..428c98d 100644 --- a/documents/Programmierparadigmen/Parallelitaet.tex +++ b/documents/Programmierparadigmen/Parallelitaet.tex @@ -16,6 +16,7 @@ Parallelverarbeitung kann auf mehreren Ebenen statt finden: 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}. + Man spricht hier auch von \textit{Instruction Level Parallelism} (ILP)\xindex{ILP} \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. 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a/documents/Programmierparadigmen/Programmiersprachen.tex b/documents/Programmierparadigmen/Programmiersprachen.tex index 46e7831..a04289d 100644 --- a/documents/Programmierparadigmen/Programmiersprachen.tex +++ b/documents/Programmierparadigmen/Programmiersprachen.tex @@ -339,7 +339,40 @@ Beispiel: \[f(X_1, X_2, \dots, X_n) = f(g(X_0, X_0), g(X_1, X_1), \dots, g(X_{n-1}, X_{n-1}) )\] Der \textit{Paterson-Wegman-Unifikationsalgorithmus}\xindex{Paterson-Wegman-Unifikationsalgorithmus} ist deutlich effizienter. -Er basiert auf dem \textit{Union-Find-Algorithmus}\xindex{Union-Find-Algorithmus}. +Er basiert auf dem \textit{Union-Find-Algorithmus}\xindex{Union-Find-Algorithmus} +und funktioniert wie folgt: + +\begin{algorithm}[h] + \begin{algorithmic} + \Function{unify}{Knoten $p$, Knoten $q$} + \State $s \gets \Call{find}{p}$ + \State $t \gets \Call{find}{q}$ + \If{$s == t$ oder $s.\Call{getAtom}{} == t.\Call{getAtom}{}$} + \State \Return \texttt{True} + \EndIf + + \If{$s,t$ Knoten für gleichen Funktor, mit Nachfolgern $s_1, \dots , s_n$ bzw. $t_1 , \dots , t_n$ } + \State $\Call{union}{s,t}$ + \State $k \gets 1$ + \State $b \gets $ \texttt{True} + \While{$k \leq n$ and $b$} + \State $b \gets \Call{unify}{s_k, t_k}$ + \State $k \gets k + 1$ + \EndWhile + \State \Return \texttt{True} + \EndIf + + \If{$s$ oder $t$ ist Variablen-Knoten} + \State $\Call{union}{s,t}$ + \State \Return \texttt{True} + \EndIf + + \State \Return \texttt{False} + \EndFunction + \end{algorithmic} +\caption{Paterson-Wegeman Unifikationsalgorithmus} +\label{alg:paterson-wegeman-unifikationsalgorithmus} +\end{algorithm} \footnotetext{\url{https://de.wikipedia.org/w/index.php?title=Unifikation\_(Logik)&oldid=116848554\#Beispiel}} \ No newline at end of file diff --git a/documents/Programmierparadigmen/Prolog.tex b/documents/Programmierparadigmen/Prolog.tex index 6409544..0a6675f 100644 --- a/documents/Programmierparadigmen/Prolog.tex +++ b/documents/Programmierparadigmen/Prolog.tex @@ -34,6 +34,58 @@ und $Y$ Farben sind und $X \neq Y$ gilt: \inputminted[numbersep=5pt, tabsize=4]{prolog}{scripts/prolog/simple-term.pl} +\subsection{Arithmetik} +Die Auswertung artihmetischer Ausdrücke muss in Prolog explizit durch \texttt{is} +durchgeführt werden: + +\inputminted[numbersep=5pt, tabsize=4]{prolog}{scripts/prolog/arithmetik.pl} + +Dabei müssen alle Variablen, die im Term rechts von \texttt{is} vorkommen, +istanziiert sein: + +\inputminted[numbersep=5pt, tabsize=4]{prolog}{scripts/prolog/arithmetik-fail.pl} + +Arithmetische Ausdrücke können mit \texttt{=:= , =\textbackslash= , < , <= , > , >=} +verglichen werden. + +\begin{beispiel}[Arithmetik in Prolog\footnotemark] + \begin{bspenum} + \item \inputminted[numbersep=5pt, tabsize=4]{prolog}{scripts/prolog/even.pl}\xindex{even} + \item \inputminted[numbersep=5pt, tabsize=4]{prolog}{scripts/prolog/fibonacci2.pl}\xindex{fib} + \end{bspenum} +\end{beispiel} +\footnotetext{WS 2013 / 2014, Folie 237f} + +\subsection{Listen} +Das Atom \texttt{[]} ist die leere Liste. + +Mit der Syntax \texttt{[K|R]} wird eine Liste in den Listekopf \texttt{K} und +den Rest der Liste \texttt{R} gesplitet: + +\inputminted[numbersep=5pt, tabsize=4]{prolog}{scripts/prolog/liste-basic.pl} + +Einen Test \texttt{member(X, Liste)}, der \texttt{True} zurückgibt wenn \texttt{X} +in \texttt{Liste} vorkommt, realisiert man wie folgt: + +\inputminted[numbersep=5pt, tabsize=4]{prolog}{scripts/prolog/liste-member.pl}\xindex{member} + +Eine Regel \texttt{append(A, B, C)}, die die Listen \texttt{A} und \texttt{B} +zusammenfügt und als Liste \texttt{C} speichert, kann +wie folgt erstellt werden: + +\inputminted[numbersep=5pt, tabsize=4]{prolog}{scripts/prolog/liste-append.pl} + +Die erste Regel besagt, dass das Hinzufügen der leeren Liste zu einer Liste +\texttt{L} immer noch die Liste \texttt{L} ist. + +Die zweite Regel besagt: Wenn die Liste \texttt{R} und \texttt{L} die Liste \texttt{T} +ergeben, dann ergibt die Liste, deren Kopf \texttt{X} ist und deren Rumpf \texttt{R} +ist zusammen mit der Liste \texttt{L} die Liste mit dem Kopf \texttt{X} und dem +Rumpf \texttt{T}. + +\xindex{split}Übergibt man \texttt{append(X,Y,[1,2,3,4,5])}, so werden durch Reerfüllung alle +Möglichkeiten durchgegangen, wie man die Liste \texttt{[1,2,3,4,5]} splitten kann. + \section{Beispiele} \subsection{Humans} Erstelle folgende Datei: diff --git a/documents/Programmierparadigmen/X10.tex b/documents/Programmierparadigmen/X10.tex index 5e9962e..f1ac19a 100644 --- a/documents/Programmierparadigmen/X10.tex +++ b/documents/Programmierparadigmen/X10.tex @@ -3,6 +3,19 @@ X10 ist eine objektorientierte Programmiersprache, die 2004 bei IBM entwickelt wurde. +X10 nutzt das PGAS-Modell: + +\begin{definition}[PGAS\footnotemark]\xindex{PGAS}% + PGAS (partitioned global address space) ist ein Programmiermodell für + Mehrprozessorsysteme und massiv parallele Rechner. Dabei wird der globale + Adressbereich des Arbeitsspeichers logisch unterteilt. Jeder Prozessor + bekommt jeweils einen dieser Adressbereiche als lokalen Speicher zugeteilt. + Trotzdem können alle Prozessoren auf jede Speicherzelle zugreifen, wobei auf + den lokalen Speicher mit wesentlich höherer Geschwindigkeit zugegriffen + werden kann als auf den von anderen Prozessoren. +\end{definition} +\footnotetext{\url{https://de.wikipedia.org/wiki/PGAS}} + \section{Erste Schritte} Als erstes sollte man x10 von \url{http://x10-lang.org/x10-development/building-x10-from-source.html?id=248} herunterladen. diff --git a/documents/Programmierparadigmen/scripts/haskell/hirsch-index.hs b/documents/Programmierparadigmen/scripts/haskell/hirsch-index.hs index 10416d9..94ca5f3 100644 --- a/documents/Programmierparadigmen/scripts/haskell/hirsch-index.hs +++ b/documents/Programmierparadigmen/scripts/haskell/hirsch-index.hs @@ -8,5 +8,7 @@ hIndex l = helper (reverse (sort l)) 0 | otherwise = acc -- Alternativ -hindex1 = length . takeWhile id . zipWith (<=) [1..] . reverse . sort -hindex2 = length . takeWhile (\(i, n) -> n >= i) . zip [1..] . reverse . sort \ No newline at end of file +hindex1 = length . takeWhile id . + zipWith (<=) [1..] . reverse . sort +hindex2 = length . takeWhile (\(i, n) -> n >= i) . + zip [1..] . reverse . sort \ No newline at end of file diff --git a/documents/Programmierparadigmen/scripts/haskell/Intersect.hs b/documents/Programmierparadigmen/scripts/haskell/intersect.hs similarity index 84% rename from documents/Programmierparadigmen/scripts/haskell/Intersect.hs rename to documents/Programmierparadigmen/scripts/haskell/intersect.hs index 01f30d7..d976917 100644 --- a/documents/Programmierparadigmen/scripts/haskell/Intersect.hs +++ b/documents/Programmierparadigmen/scripts/haskell/intersect.hs @@ -12,4 +12,5 @@ intersectAll (l:ls) = (foldr intersect l) ls intersectAll [] = undefined multiples n = [n*k | k <- [1..]] -commonMultiples a b c = intersectAll [ multiples n | n <- [a,b,c]] \ No newline at end of file +commonMultiples a b c = + intersectAll [ multiples n | n <- [a,b,c]] \ No newline at end of file diff --git a/documents/Programmierparadigmen/scripts/haskell/pythagorean-triples.hs b/documents/Programmierparadigmen/scripts/haskell/pythagorean-triples.hs new file mode 100644 index 0000000..2b2dd09 --- /dev/null +++ b/documents/Programmierparadigmen/scripts/haskell/pythagorean-triples.hs @@ -0,0 +1,6 @@ +triples :: [(Integer, Integer, Integer)] +triples = [(x,y,z) | z <-[1..], + x <- [1..z], + y <- [1..z], + z^2 == x^2 + y^2 + ] \ No newline at end of file diff --git a/documents/Programmierparadigmen/scripts/prolog/arithmetik-fail.pl b/documents/Programmierparadigmen/scripts/prolog/arithmetik-fail.pl new file mode 100644 index 0000000..63e006e --- /dev/null +++ b/documents/Programmierparadigmen/scripts/prolog/arithmetik-fail.pl @@ -0,0 +1,10 @@ +?- X is 3^2. +X = 9. + +?- Y is X*X. +ERROR: is/2: Arguments are not sufficiently +instantiated + +?- X is X+1. +ERROR: is/2: Arguments are not sufficiently +instantiated \ No newline at end of file diff --git a/documents/Programmierparadigmen/scripts/prolog/arithmetik.pl b/documents/Programmierparadigmen/scripts/prolog/arithmetik.pl new file mode 100644 index 0000000..430b5b0 --- /dev/null +++ b/documents/Programmierparadigmen/scripts/prolog/arithmetik.pl @@ -0,0 +1,2 @@ +?- X is 5-2*5. +X = -5. \ No newline at end of file diff --git a/documents/Programmierparadigmen/scripts/prolog/even.pl b/documents/Programmierparadigmen/scripts/prolog/even.pl new file mode 100644 index 0000000..351805d --- /dev/null +++ b/documents/Programmierparadigmen/scripts/prolog/even.pl @@ -0,0 +1,5 @@ +even(0). +even(X) :- X>0, X1 is X-1, odd(X1). + +odd(1). +odd(X) :- X>1, X1 is X-1, even(X1). \ No newline at end of file diff --git a/documents/Programmierparadigmen/scripts/prolog/fibonacci2.pl b/documents/Programmierparadigmen/scripts/prolog/fibonacci2.pl new file mode 100644 index 0000000..47c9a99 --- /dev/null +++ b/documents/Programmierparadigmen/scripts/prolog/fibonacci2.pl @@ -0,0 +1,6 @@ +fib(0,0). +fib(1,1). +fib(X,Y) :- X>1, + X1 is X-1, X2 is X-2, + fib(X1,Y1), fib(X2,Y2), + Y is Y1+Y2. \ No newline at end of file diff --git a/documents/Programmierparadigmen/scripts/prolog/liste-append.pl b/documents/Programmierparadigmen/scripts/prolog/liste-append.pl new file mode 100644 index 0000000..31bf876 --- /dev/null +++ b/documents/Programmierparadigmen/scripts/prolog/liste-append.pl @@ -0,0 +1,2 @@ +append([],L,L). +append([X|R],L,[X|T]) :- append(R,L,T). \ No newline at end of file diff --git a/documents/Programmierparadigmen/scripts/prolog/liste-basic.pl b/documents/Programmierparadigmen/scripts/prolog/liste-basic.pl new file mode 100644 index 0000000..d669453 --- /dev/null +++ b/documents/Programmierparadigmen/scripts/prolog/liste-basic.pl @@ -0,0 +1,3 @@ +?- [X|Y] = [1,2,3,4,5]. +X = 1, +Y = [2, 3, 4, 5]. \ No newline at end of file diff --git a/documents/Programmierparadigmen/scripts/prolog/liste-member.pl b/documents/Programmierparadigmen/scripts/prolog/liste-member.pl new file mode 100644 index 0000000..dd09d2f --- /dev/null +++ b/documents/Programmierparadigmen/scripts/prolog/liste-member.pl @@ -0,0 +1,2 @@ +member(X,[X|R]). +member(X,[Y|R]) :- member(X,R). \ No newline at end of file