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4 | <title>CodeMirror 2: Haskell mode</title> |
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13 | <h1>CodeMirror 2: Haskell mode</h1> |
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14 | |
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15 | <form><textarea id="code" name="code"> |
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16 | module UniquePerms ( |
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17 | uniquePerms |
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18 | ) |
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19 | where |
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20 | |
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21 | -- | Find all unique permutations of a list where there might be duplicates. |
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22 | uniquePerms :: (Eq a) => [a] -> [[a]] |
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23 | uniquePerms = permBag . makeBag |
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24 | |
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25 | -- | An unordered collection where duplicate values are allowed, |
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26 | -- but represented with a single value and a count. |
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27 | type Bag a = [(a, Int)] |
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28 | |
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29 | makeBag :: (Eq a) => [a] -> Bag a |
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30 | makeBag [] = [] |
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31 | makeBag (a:as) = mix a $ makeBag as |
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32 | where |
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33 | mix a [] = [(a,1)] |
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34 | mix a (bn@(b,n):bs) | a == b = (b,n+1):bs |
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35 | | otherwise = bn : mix a bs |
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36 | |
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37 | permBag :: Bag a -> [[a]] |
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38 | permBag [] = [[]] |
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39 | permBag bs = concatMap (\(f,cs) -> map (f:) $ permBag cs) . oneOfEach $ bs |
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40 | where |
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41 | oneOfEach [] = [] |
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42 | oneOfEach (an@(a,n):bs) = |
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43 | let bs' = if n == 1 then bs else (a,n-1):bs |
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44 | in (a,bs') : mapSnd (an:) (oneOfEach bs) |
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45 | |
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46 | apSnd f (a,b) = (a, f b) |
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47 | mapSnd = map . apSnd |
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