From d87db40eedef841b5e933a19fcfa2f17ec16ee0a Mon Sep 17 00:00:00 2001 From: Jonas Betzendahl Date: Sun, 14 Jun 2015 10:13:11 +0200 Subject: [PATCH] =?UTF-8?q?Beispielcode=20f=C3=BCr=20Sort=20und=20Typo?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- exampleCode/lecture8/sort.hs | 32 ++++++++++++++++++++++++++++++++ lecture7.pdf | Bin 650155 -> 672711 bytes 2 files changed, 32 insertions(+) create mode 100644 exampleCode/lecture8/sort.hs diff --git a/exampleCode/lecture8/sort.hs b/exampleCode/lecture8/sort.hs new file mode 100644 index 0000000..b8056d3 --- /dev/null +++ b/exampleCode/lecture8/sort.hs @@ -0,0 +1,32 @@ +module Main where + +import Data.List +import Test.QuickCheck + +-- Sorting twice changes nothing +prop_idempotency :: Ord a => [a] -> Bool +prop_idempotency xs = qsort xs == qsort (qsort xs) + +-- Sorting doesn't change the length +prop_len :: Ord a => [a] -> Bool +prop_len xs = length xs == length (qsort xs) + +-- Sorted result is a permutation of input +prop_perm :: Ord a => [a] -> Bool +prop_perm xs = (qsort xs) `elem` (permutations xs) + +-- Sorting produces sorted list +prop_sort :: Ord a => [a] -> Bool +prop_sort = isSorted . qsort + where + isSorted :: Ord a => [a] -> Bool + isSorted [] = True + isSorted [x] = True + isSorted (x:y:zs) = (x <= y) && isSorted (y:zs) + +qsort :: Ord a => [a] -> [a] +qsort [] = [] +qsort (p:xs) = (qsort lesser) ++ p:(qsort greater) + where + lesser = filter (< p) xs + greater = filter (>= p) xs diff --git a/lecture7.pdf b/lecture7.pdf index 9c9b17b17c43a20e05c170448699fd3ab7eb5e78..33526ab133b6ae8420cd342d03ed5a361e91d13c 100644 GIT binary patch delta 156096 zcmce-Ra9K0*^o02bfUJX}=^;k+ye z?tbr(Ez~k<#i2`satzmVEOFPSc`U+7dci}t(stX75S%}6763`KO(JZv7UBarDA|ew z7~m-(qe8XMKs(c=m! z$TY$2`b%4iXYtmRDu+01idZuG6{ z8WUtV^N2%+Glhr(R2>2@G8!};BqZG@Gt=HD4P0TL8JyK1wGv~ZgrQ&O`B@K6k3yg` zP4&LF`{9NRdqAKfRYL9>Ol)VTf;ECD2SSGScuIbzN~GfmcAZa@9NYD(qM_o|C;Yp! 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