From 723e8c2ac7ace29df1574238686d0da1dd08b941 Mon Sep 17 00:00:00 2001 From: Stefan Dresselhaus Date: Mon, 25 Apr 2016 15:37:16 +0200 Subject: [PATCH] =?UTF-8?q?=C3=9Cbungsblatt=202=20online=20gestellt?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- Übungen/Blatt2.hs | 83 ++++++++++++++++++++++++++++++++++ Übungen/Blatt2.lhs | 106 ++++++++++++++++++++++++++++++++++++++++++++ Übungen/Blatt2.md | 90 +++++++++++++++++++++++++++++++++++++ Übungen/Blatt2.pdf | Bin 0 -> 124402 bytes 4 files changed, 279 insertions(+) create mode 100644 Übungen/Blatt2.hs create mode 100644 Übungen/Blatt2.lhs create mode 100644 Übungen/Blatt2.md create mode 100644 Übungen/Blatt2.pdf diff --git a/Übungen/Blatt2.hs b/Übungen/Blatt2.hs new file mode 100644 index 0000000..e6d1456 --- /dev/null +++ b/Übungen/Blatt2.hs @@ -0,0 +1,83 @@ +-- # Übungsblatt 2 +-- +-- ## Throat-Clearing +-- +-- a.k.a. Imports, damit der Code funktioniert. + +import Data.Functor +import Data.Monoid + +-- ## Functor +-- +-- Sie haben in der Vorlesung die Typklasse `Functor` kennengelernt. Zur Erinnerung: +-- +-- class Functor f where +-- fmap :: (a -> b) -> f a -> f b +-- +-- Nehmen sie an, sie hätten folgende Datentypen gegeben, für die alle eine `Functor`-Instanz existiert und eindeutig ist: + +data Identity a = Identity { unIdentity :: a } + +data Vielleicht a = Etwas a + | Nichts + +data EntwederOder b a = Entweder a + | Oder b + +data GameVector b a = V3 a a a + | VStrange [a] + | Neighbours [GameVector b a] + | EntwederOder b (GameVector b a) + +-- Schreiben sie hierzu die jeweiligen `Functor`-Instanzen. +-- +-- ## Besser und allgemeiner +-- +-- Vereinfachen und verallgemeinern sie folgenden Ausdrücke so weit wie möglich und geben die sie dadurch entstehenden Typsignaturen an. +-- Bedenken sie, dass wenn sie auf eine Typklasse abstrahieren, sie die gesamten Gesetze der Typklasse benutzen können. +-- +-- Kann die Funktion nachher mehr als vorher? +-- +-- *Bonus*: Hat sich an der Laufzeit etwas verändert? + +mystery1 :: [[a]] -> [[a]] +mystery1 = map (++[]) + +mystery2 :: (Eq a) => a -> a -> a -> Bool +mystery2 x y z + | x == y || y == z = True + | x == y && y == z = True + | x /= z = False + | y /= z = False + | x == y || y /= z = True + | otherwise = False + +mystery3 :: Eq a => (a -> a) -> a -> [a] -> [a] +mystery3 f a l = post a l' + where + l' = map f l + post a (x:xs) + | a == x = x ++ post a xs + | otherwise = post a xs + post _ [] = [] + +mystery4 :: (Int -> Bool) + -> Vielleicht (EntwederOder String Int) + -> Vielleicht (EntwederOder String Bool) +mystery4 f (Etwas (Entweder a)) = Etwas . Entweder . f $ a +mystery4 _ (Etwas (Oder b)) = Etwas (Oder b) +mystery4 _ Nichts = Nichts + +-- ## Bonus +-- +-- Es gibt von dem bekannten Spiel 2048 eine Haskell-Implementation für die Kommandozeile in unter 100 Zeilen. Diese ist zu finde unter +-- https://github.com/gregorulm/h2048/blob/master/h2048.hs +-- +-- Sie können diesen Code mit `GHC` kompilieren oder im `ghci` ausführen (`main` ist die Start-Funktion). +-- +-- Was für Prinzipielle Vorgehenspunkte können sie erkennen? +-- Eine kleine Erklärung gibt es im Blog der Erstellers: http://gregorulm.com/2048-in-90-lines-haskell/ +-- +-- Keine Angst, sie müssen dies noch nicht verstehen, aber es soll verdeutlichen, wie viel man mit extrem wenig erreichen kann. Viele der Abgabeprojekte werden in dieser Größenordnung liegen (aber meist noch so etwas wie ein GUI o.ä. benötigen). Versuchen sie einfach den Code kaputtzuspielen (z.b. Tasten ändern, Siegbedingung ändern, Cheats einbauen, ...). +-- +-- Viel Spass beim Spielen! :) diff --git a/Übungen/Blatt2.lhs b/Übungen/Blatt2.lhs new file mode 100644 index 0000000..828518a --- /dev/null +++ b/Übungen/Blatt2.lhs @@ -0,0 +1,106 @@ +Übungsblatt 2 +============= + +Throat-Clearing +--------------- + +a.k.a. Imports, damit der Code funktioniert. + +``` {.haskell} +import Data.Functor +import Data.Monoid +``` + +Functor +------- + +Sie haben in der Vorlesung die Typklasse `Functor` kennengelernt. Zur +Erinnerung: + + class Functor f where + fmap :: (a -> b) -> f a -> f b + +Nehmen sie an, sie hätten folgende Datentypen gegeben, für die alle eine +`Functor`-Instanz existiert und eindeutig ist: + +``` {.haskell} +data Identity a = Identity { unIdentity :: a } + +data Vielleicht a = Etwas a + | Nichts + +data EntwederOder b a = Entweder a + | Oder b + +data GameVector b a = V3 a a a + | VStrange [a] + | Neighbours [GameVector b a] + | EntwederOder b (GameVector b a) +``` + +Schreiben sie hierzu die jeweiligen `Functor`-Instanzen. + +Besser und allgemeiner +---------------------- + +Vereinfachen und verallgemeinern sie folgenden Ausdrücke so weit wie +möglich und geben die sie dadurch entstehenden Typsignaturen an. +Bedenken sie, dass wenn sie auf eine Typklasse abstrahieren, sie die +gesamten Gesetze der Typklasse benutzen können. + +Kann die Funktion nachher mehr als vorher? + +*Bonus*: Hat sich an der Laufzeit etwas verändert? + +``` {.haskell} +mystery1 :: [[a]] -> [[a]] +mystery1 = map (++[]) + +mystery2 :: (Eq a) => a -> a -> a -> Bool +mystery2 x y z + | x == y || y == z = True + | x == y && y == z = True + | x /= z = False + | y /= z = False + | x == y || y /= z = True + | otherwise = False + +mystery3 :: Eq a => (a -> a) -> a -> [a] -> [a] +mystery3 f a l = post a l' + where + l' = map f l + post a (x:xs) + | a == x = x ++ post a xs + | otherwise = post a xs + post _ [] = [] + +mystery4 :: (Int -> Bool) + -> Vielleicht (EntwederOder String Int) + -> Vielleicht (EntwederOder String Bool) +mystery4 f (Etwas (Entweder a)) = Etwas . Entweder . f $ a +mystery4 _ (Etwas (Oder b)) = Etwas (Oder b) +mystery4 _ Nichts = Nichts +``` + +Bonus +----- + +Es gibt von dem bekannten Spiel 2048 eine Haskell-Implementation für die +Kommandozeile in unter 100 Zeilen. Diese ist zu finde unter +https://github.com/gregorulm/h2048/blob/master/h2048.hs + +Sie können diesen Code mit `GHC` kompilieren oder im `ghci` ausführen +(`main` ist die Start-Funktion). + +Was für Prinzipielle Vorgehenspunkte können sie erkennen? Eine kleine +Erklärung gibt es im Blog der Erstellers: +http://gregorulm.com/2048-in-90-lines-haskell/ + +Keine Angst, sie müssen dies noch nicht verstehen, aber es soll +verdeutlichen, wie viel man mit extrem wenig erreichen kann. Viele der +Abgabeprojekte werden in dieser Größenordnung liegen (aber meist noch so +etwas wie ein GUI o.ä. benötigen). Versuchen sie einfach den Code +kaputtzuspielen (z.b. Tasten ändern, Siegbedingung ändern, Cheats +einbauen, ...). + +Viel Spass beim Spielen! :) diff --git a/Übungen/Blatt2.md b/Übungen/Blatt2.md new file mode 100644 index 0000000..3d70061 --- /dev/null +++ b/Übungen/Blatt2.md @@ -0,0 +1,90 @@ +# Übungsblatt 2 + +## Throat-Clearing + +a.k.a. Imports, damit der Code funktioniert. + +```haskell +import Data.Functor +import Data.Monoid +``` + +## Functor + +Sie haben in der Vorlesung die Typklasse `Functor` kennengelernt. Zur Erinnerung: + + class Functor f where + fmap :: (a -> b) -> f a -> f b + +Nehmen sie an, sie hätten folgende Datentypen gegeben, für die alle eine `Functor`-Instanz existiert und eindeutig ist: + +```haskell +data Identity a = Identity { unIdentity :: a } + +data Vielleicht a = Etwas a + | Nichts + +data EntwederOder b a = Entweder a + | Oder b + +data GameVector b a = V3 a a a + | VStrange [a] + | Neighbours [GameVector b a] + | EntwederOder b (GameVector b a) +``` + +Schreiben sie hierzu die jeweiligen `Functor`-Instanzen. + +## Besser und allgemeiner + +Vereinfachen und verallgemeinern sie folgenden Ausdrücke so weit wie möglich und geben die sie dadurch entstehenden Typsignaturen an. +Bedenken sie, dass wenn sie auf eine Typklasse abstrahieren, sie die gesamten Gesetze der Typklasse benutzen können. + +Kann die Funktion nachher mehr als vorher? + +*Bonus*: Hat sich an der Laufzeit etwas verändert? + +```haskell +mystery1 :: [[a]] -> [[a]] +mystery1 = map (++[]) + +mystery2 :: (Eq a) => a -> a -> a -> Bool +mystery2 x y z + | x == y || y == z = True + | x == y && y == z = True + | x /= z = False + | y /= z = False + | x == y || y /= z = True + | otherwise = False + +mystery3 :: Eq a => (a -> a) -> a -> [a] -> [a] +mystery3 f a l = post a l' + where + l' = map f l + post a (x:xs) + | a == x = x ++ post a xs + | otherwise = post a xs + post _ [] = [] + +mystery4 :: (Int -> Bool) + -> Vielleicht (EntwederOder String Int) + -> Vielleicht (EntwederOder String Bool) +mystery4 f (Etwas (Entweder a)) = Etwas . Entweder . f $ a +mystery4 _ (Etwas (Oder b)) = Etwas (Oder b) +mystery4 _ Nichts = Nichts +``` + + +## Bonus + +Es gibt von dem bekannten Spiel 2048 eine Haskell-Implementation für die Kommandozeile in unter 100 Zeilen. Diese ist zu finde unter +https://github.com/gregorulm/h2048/blob/master/h2048.hs + +Sie können diesen Code mit `GHC` kompilieren oder im `ghci` ausführen (`main` ist die Start-Funktion). + +Was für Prinzipielle Vorgehenspunkte können sie erkennen? +Eine kleine Erklärung gibt es im Blog der Erstellers: http://gregorulm.com/2048-in-90-lines-haskell/ + +Keine Angst, sie müssen dies noch nicht verstehen, aber es soll verdeutlichen, wie viel man mit extrem wenig erreichen kann. Viele der Abgabeprojekte werden in dieser Größenordnung liegen (aber meist noch so etwas wie ein GUI o.ä. benötigen). Versuchen sie einfach den Code kaputtzuspielen (z.b. 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