From 6829f6cf9710b314a4bf0b64abdae5bcf6997fd0 Mon Sep 17 00:00:00 2001 From: Martin Thoma Date: Tue, 16 Sep 2014 16:56:23 +0200 Subject: [PATCH] added another prolog example --- .../Programmierparadigmen.pdf | Bin 912391 -> 917479 bytes documents/Programmierparadigmen/Prolog.tex | 12 ++++ documents/Programmierparadigmen/Scala.tex | 6 ++ .../scripts/prolog/01-two-bases.prolog | 15 +++++ .../scripts/scala/power-futures.scala | 57 ++++++++++++++++++ 5 files changed, 90 insertions(+) create mode 100755 documents/Programmierparadigmen/scripts/prolog/01-two-bases.prolog create mode 100644 documents/Programmierparadigmen/scripts/scala/power-futures.scala diff --git a/documents/Programmierparadigmen/Programmierparadigmen.pdf b/documents/Programmierparadigmen/Programmierparadigmen.pdf index abc410b7df8634c9dbf22b229dfdeca6e92030f8..756cb43059402692e030b4ea75564628ddeb708f 100644 GIT binary patch delta 159627 zcmZU)bC4#%mj&9kZBN^_ZBE;^jjuUv+taqKY1_uvw#{k1+26+Q+ZV6m{&6ZJBO|J! 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kennt zwei Kommentar-Typen: + +\begin{itemize} + \item Zeilen-Kommentare, die mit \verb+%+ beginnen + \item Block-Kommentare, diem durch \verb+/* ... */+ markiert werden. +\end{itemize} + \subsection{= und ==}\xindex{= (Prolog)}\xindex{== (Prolog)} In Prolog entspricht \texttt{=} dem Prädikat \texttt{=/2}. Das Prädikat \texttt{ = } wird erfüllt, wenn die beiden Terme \texttt{} und \texttt{} unifiziert werden @@ -211,6 +219,10 @@ bei Prof. Dr. Snelting: \inputminted[numbersep=5pt, tabsize=4]{prolog}{scripts/prolog/regex.pl} +\subsection{Two Bases} + +\inputminted[numbersep=5pt, tabsize=4]{prolog}{scripts/prolog/01-two-bases.prolog} + \section{Weitere Informationen} \begin{itemize} \item \href{http://wiki.ubuntuusers.de/Prolog}{\path{wiki.ubuntuusers.de/Prolog}}: Hinweise zur Installation von Prolog unter Ubuntu diff --git a/documents/Programmierparadigmen/Scala.tex b/documents/Programmierparadigmen/Scala.tex index 01b1ef7..22750a2 100644 --- a/documents/Programmierparadigmen/Scala.tex +++ b/documents/Programmierparadigmen/Scala.tex @@ -154,6 +154,12 @@ $a \cdot b$ zu erhalten? \inputminted[linenos, numbersep=5pt, tabsize=4, frame=lines, label=main.scala]{scala}{scripts/scala/HighProduct.scala} +\subsection{Potenzierung} +Will man Zweierpotenzen bilden, so kann man die Berechnung beschleunigen, in dem +man immer wieder Quadriert: + +\inputminted[linenos, numbersep=5pt, tabsize=4, frame=lines, label=power-futures.scala]{scala}{scripts/scala/power-futures.scala} + \section{Weitere Informationen} \begin{itemize} \item \url{http://www.scala-lang.org/api} diff --git a/documents/Programmierparadigmen/scripts/prolog/01-two-bases.prolog b/documents/Programmierparadigmen/scripts/prolog/01-two-bases.prolog new file mode 100755 index 0000000..3c11abe --- /dev/null +++ b/documents/Programmierparadigmen/scripts/prolog/01-two-bases.prolog @@ -0,0 +1,15 @@ +#!/usr/bin/swipl -q -t main -f +% Find three digits X, Y and Z such that +% XYZ in base10 is equal to ZYX in base9 + +is_solution(X, Y, Z) :- between(0,9,X), + between(0,9,Y), + between(0,9,Z), + Base10 is (100*X + 10*Y + Z), + Base9 is (9*9*Z+9*Y+X), + Base10 = Base9. + +main :- + is_solution(X, Y, Z), + format("solution: ~w ~w ~w\n", [X,Y,Z]), + false. % make sure that all solutions get printed \ No newline at end of file diff --git a/documents/Programmierparadigmen/scripts/scala/power-futures.scala b/documents/Programmierparadigmen/scripts/scala/power-futures.scala new file mode 100644 index 0000000..d03ac94 --- /dev/null +++ b/documents/Programmierparadigmen/scripts/scala/power-futures.scala @@ -0,0 +1,57 @@ +import scala.actors.Futures._; + +object FastPower { + /** + * Calculate a power of two fast. + */ + def fastPow(x: Int, n: Int): Long = { + var result = 1L; + + val b = n.toBinaryString.reverse; + for(d <- 0 until b.length()) { + if(b.charAt(d).equals('1')){ + result *= scala.math.pow(x, + scala.math.pow(2, d)).toLong; + } + } + + return result; + } + + /** + * Calculate a power of two fast and use Futures. + */ + def fastPowParallel(x: Int, n: Int): Long = { + var result = 1L; + val b = n.toBinaryString.reverse; + val tasks = for (d <- 0 until b.length()) + yield future + { + var interim = 0L; + if (b.charAt(d).equals('1')){ + interim = scala.math.pow(x, + scala.math.pow(2, d)).toLong; + } + + interim; + } + + val futureRes = awaitAll(20000L, tasks: _*); + + futureRes.foreach { res => + res match { + case Some(x: Long) => if (x > 0) + result *= x + case None => throw new + Exception("error") + }; + } + + return result; + } + + def main(args: Array[String]) { + println(fastPowParallel(2, 9)); + // => 512 + } +}