From 20994f6cc3f9f6d0755d2e18ebc5833ec2435096 Mon Sep 17 00:00:00 2001 From: Martin Thoma Date: Wed, 17 Sep 2014 15:28:17 +0200 Subject: [PATCH] =?UTF-8?q?Cut=20(Prolog)=20hinzugef=C3=BCgt;=20weitere=20?= =?UTF-8?q?Scala-Beispiele=20hinzugef=C3=BCgt?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .../Programmierparadigmen.pdf | Bin 917479 -> 924067 bytes documents/Programmierparadigmen/Prolog.tex | 18 +++++++++- documents/Programmierparadigmen/Scala.tex | 22 ++++++++++++ documents/Programmierparadigmen/Vorwort.tex | 3 ++ .../scripts/scala/01-TwoBases.scala | 12 +++++++ .../scripts/scala/04-ExactlyAThird.scala | 34 ++++++++++++++++++ .../scripts/scala/05-ThreeDice.scala | 13 +++++++ 7 files changed, 101 insertions(+), 1 deletion(-) create mode 100644 documents/Programmierparadigmen/scripts/scala/01-TwoBases.scala create mode 100644 documents/Programmierparadigmen/scripts/scala/04-ExactlyAThird.scala create mode 100644 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zBSoke;sycfg#qH0R5`dtOH5Ma!ojgiR2g{bog~fJHl0iv_$Hm0U77_f$xh7P%mT=# z6T2CIKMdcJQZNMmlcFM69c#tJXr){%h-Sq^^#7MI{deYuK2*oy$K%RCbo$5*SS#We Xf4V;d84EE4A}K+{&8@1hM)bb`k7_hR diff --git a/documents/Programmierparadigmen/Prolog.tex b/documents/Programmierparadigmen/Prolog.tex index 9fd3fc3..2e218d5 100644 --- a/documents/Programmierparadigmen/Prolog.tex +++ b/documents/Programmierparadigmen/Prolog.tex @@ -56,6 +56,22 @@ die beiden Terme bereits identisch sind. Weitere Informationen: \url{http://stackoverflow.com/a/8220315/562769} +\subsection{! (Cut)}\xindex{"! (Cut, Prolog)} +Das \texttt{!} wird in Prolog als \textit{cut} bezeichnet. Ein Cut verhindert +Backtracking nach dem cut. + +Die Klauseln eines Prädikates werden von Prolog von links nach rechts evaluiert. +Prolog bindet einen Wert an eine Variable in der linkesten Klausel. Wenn diese +Klausel als \texttt{true} ausgewertet wird, dann versucht Prolog die nächste +Klausel auszuwerten. Falls nicht, wird eine neuer Wert an die momentan +betrachtete Klausel gebunden. + +Da Klauseln über logische UND verbunden sind, führt eine nicht erfüllbare +Klausel dazu, dass das gesamte Prädikat als \texttt{false} evaluiert wird. + +Der cut ist ein Gate: Sind die Klauseln vor dem cut ein mal wahr, werden die +Werte festgelegt. + \subsection{Arithmetik} Die Auswertung artihmetischer Ausdrücke muss in Prolog explizit durch \texttt{is} durchgeführt werden: @@ -219,7 +235,7 @@ bei Prof. Dr. Snelting: \inputminted[numbersep=5pt, tabsize=4]{prolog}{scripts/prolog/regex.pl} -\subsection{Two Bases} +\subsection{Coffeetime 01: Two Bases} \inputminted[numbersep=5pt, tabsize=4]{prolog}{scripts/prolog/01-two-bases.prolog} diff --git a/documents/Programmierparadigmen/Scala.tex b/documents/Programmierparadigmen/Scala.tex index 22750a2..4b2f785 100644 --- a/documents/Programmierparadigmen/Scala.tex +++ b/documents/Programmierparadigmen/Scala.tex @@ -160,6 +160,28 @@ man immer wieder Quadriert: \inputminted[linenos, numbersep=5pt, tabsize=4, frame=lines, label=power-futures.scala]{scala}{scripts/scala/power-futures.scala} +\subsection{Coffeetime 01: Two Bases} +Find three digits $X$, $Y$ and $Z$ such that $XYZ$ in base 10 is equal to $ZYX$ +in base 9. + +\inputminted[linenos, numbersep=5pt, tabsize=2, frame=lines, label=01-TwoBases.scala]{scala}{scripts/scala/01-TwoBases.scala} + +\subsection{Coffeetime 04: Exactly a third} +Arrange the numerals 1-9 into a single fraction that equals exactly +$\frac{1}{3}$. + +No other math symbols wanted; just concatenation some digits for the +numerator, and some to make a denominator. + +\inputminted[linenos, numbersep=5pt, tabsize=4, frame=lines, label=04-ExactlyAThird.scala]{scala}{scripts/scala/04-ExactlyAThird.scala} + +\subsection{Coffeetime 05: Three Dice}\xindex{yield (Scala)@\texttt{yield} (Scala)} +I roll three dice, and multiply the three numbers together. + +What is the probability the total will be odd? + +\inputminted[linenos, numbersep=5pt, tabsize=4, frame=lines, label=05-ThreeDice.scala]{scala}{scripts/scala/05-ThreeDice.scala} + \section{Weitere Informationen} \begin{itemize} \item \url{http://www.scala-lang.org/api} diff --git a/documents/Programmierparadigmen/Vorwort.tex b/documents/Programmierparadigmen/Vorwort.tex index 2b4f3d8..7e4fec2 100644 --- a/documents/Programmierparadigmen/Vorwort.tex +++ b/documents/Programmierparadigmen/Vorwort.tex @@ -6,6 +6,9 @@ geschrieben. Dazu wurden die Folien von Prof.~Dr.~Snelting und Jun.-Prof.~Dr.~Hummel benutzt, die Struktur sowie einige Beispiele, Definitionen und Sätze übernommen. +Es wurden einige Aufgaben von \url{http://www.datagenetics.com/blog/june22014/index.html} +genommen um Beispielcode für einfache Probleme zu schreiben. + Das Ziel dieses Skriptes ist vor allem in der Klausur als Nachschlagewerk zu dienen; es soll jedoch auch vorher schon für die Vorbereitung genutzt werden können und nach diff --git a/documents/Programmierparadigmen/scripts/scala/01-TwoBases.scala b/documents/Programmierparadigmen/scripts/scala/01-TwoBases.scala new file mode 100644 index 0000000..eea65fc --- /dev/null +++ b/documents/Programmierparadigmen/scripts/scala/01-TwoBases.scala @@ -0,0 +1,12 @@ +object TwoBases { + def test(x: Int, y: Int, z: Int) = + (100*x + 10*y + z == math.pow(9,2)*z + 9*y + z) + + def main(args: Array[String]) { + for(x <- 0 to 9; y <- 0 to 9; z <- 0 to 9) { + if(test(x, y, z)){ + println("%d%d%d".format(x, y, z)); + } + } + } +} \ No newline at end of file diff --git a/documents/Programmierparadigmen/scripts/scala/04-ExactlyAThird.scala b/documents/Programmierparadigmen/scripts/scala/04-ExactlyAThird.scala new file mode 100644 index 0000000..b128b3c --- /dev/null +++ b/documents/Programmierparadigmen/scripts/scala/04-ExactlyAThird.scala @@ -0,0 +1,34 @@ +import scala.math.pow + +object ExactlyAthrid { + def main(arg: Array[String]) { + val digits = List(1, 2, 3, 4, 5, 6, 7, 8, 9); + for (c <- digits.combinations(4)) { + for(d <- c.permutations) { + // Get the numerator + var numerator = 0; + for((digit, place) <- d.zipWithIndex) { + numerator += digit + * pow(10, place).toInt; + } + + // Get the denominator + var denominator = 3 * numerator; + + // Check if all digits appear + // exactly once + var cdigits = numerator.toString + + denominator.toString; + var cdigits_list = cdigits.toCharArray. + distinct; + + // Print solution + if (cdigits_list.length == 9 && + !cdigits_list.contains('0')){ + println("%d / %d = 1/3". + format(numerator, denominator)); + } + } + } + } +} \ No newline at end of file diff --git a/documents/Programmierparadigmen/scripts/scala/05-ThreeDice.scala b/documents/Programmierparadigmen/scripts/scala/05-ThreeDice.scala new file mode 100644 index 0000000..4f01c29 --- /dev/null +++ b/documents/Programmierparadigmen/scripts/scala/05-ThreeDice.scala @@ -0,0 +1,13 @@ +object ThreeDice { + def main(arg: Array[String]) { + val dice_results = List(1, 2, 3, 4, 5, 6); + var outcomes = for(a <- dice_results; + b <- dice_results; + c <- dice_results) + yield a*b*c; + println("%d / %d". + format( + outcomes.filter(x => x % 2 == 1).length, + outcomes.length)); + } +} \ No newline at end of file

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