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isort :: [Int] -> [Int] 190۲6 ] [ 211 isort (head : tail) = insert head (isort tail) where insert v_ [] = [v] insert v (h: t) =if v <=h thenv:h:t else h : (insert v t) Main> isort [9,5,2,8,3] Lecture 9 List [2,3,5,8,9] Comprehension

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List Comprehensions Lecture 9 List Comprehensions

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quair list = [ x*x | x <- list ] ' generator (x is an element of list) Main> squair [1,2,3,4,5] [1,4,9,16,25] General form Body Selector \ / [ expression | qualifiers] The selector is a list expression. It can be combined with one or more guards, separated by commas. A qualifier can be a generator or a filter(a boolean expression restricting what is generated by the generator. Prelude>[x | >- ]1..10[ ‏ی‎ 4 = = 0] ۳ Comprehensions ‏دم رح‎

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ample: Generating English Sentences stat = [k++" "++y++" "+4+z++"."| x <-["A","An","The"], y <-["man","ape","dog"], - ["runs","flies","ate"], not(x == "An" && not(member (head y) "“aeiou")|| R=" 48" Ge member (head y) "“aeiou")] ["A man runs.","A man flies.","A man ate.","A dog runs.","A dog flies.","A dog ate.","An ape runs.","An ape flies.","An ape ate.","The man runs.","The man flies.","The man ate." »"The ape,runs." ,"The ape flies." ","The ape ate." ""Therdogssuns. "\"The dog

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vgCouples :: [(Float,Float)] -> [Float] avgCouple list = [ (at+b)/2 | (a,b) <- list ] Prelude > avgCouples [(2.3, 3.7),(4.5, 5.5),(5.6, 8.4)] [3.0,5.0,7.0] Prelude> take 9 [(a,b,c)|a<-[1..],b<-[1..],c<- [1..],at+b+c<1000] [((1,1,1),(1,1,2),(1,1,3),(1,1,4),(1,1,5),(1,1,6),(1,1,7), (1,1,8),(1,1,9)] Prelude> [ (a,b) | a <- [1,2], b <- [3,4,5] ] [(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)] Prelude > [(a,b)|a <- [1,2,3,4,5,6,7],b<- [7,8,9,10,11,12],even a,odd b] [(2,7),(2,9),(2,11),(4,7),(4,9),(4,11),(6,7),(6,9),(6,11)] Prelude > [ (a,b) | a <- [2A srhe"], b <- 5 ["dog","cat","bird"] ] Comprehensions

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Function oddL oddL []= [] oddL list = if even (head list) then oddL (tail list) else head list:oddL (tail list) oddL [] oddL (h:t) 1 if evenh then oddL telse h:oddL t Function oddL using list comprehension OddL list = [x | x <- list, x ‘mod* 2 / = 0] Lecture 9 List Comprehensions

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Quicksort qsort [] = [] qsort (head:tail) = qsort [x | x <- tail, x < head] ++ [head] ++ qsort [x | x <- tail, x>=head] Main> qsort [6,2,1,8,4,9] [1,2,4,6,8,9] Main> qsort ['c','b','a','s','d'] “abcds" Main> qsort ["George","Paul","Andy","Martin","Abraham","Mary","Stewart"] ["Abraham","Andy","George","Martin","Mary","Paul","S tewart"] Main> qsort [[8,9,41,[1,3,51,[9,7,01,[6,9,2]] 111.3.5116.9.2118 9.4] [P=repepsions 7

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