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<!doctype html>
<html>
  <head>
    <title>CodeMirror: Haskell mode</title>
    <link rel="stylesheet" href="../../lib/codemirror.css">
    <script src="../../lib/codemirror.js"></script>
    <script src="haskell.js"></script>
    <link rel="stylesheet" href="../../theme/elegant.css">
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  <body>
    <h1>CodeMirror: Haskell mode</h1>

<form><textarea id="code" name="code">
module UniquePerms (
    uniquePerms
    )
where

-- | Find all unique permutations of a list where there might be duplicates.
uniquePerms :: (Eq a) => [a] -> [[a]]
uniquePerms = permBag . makeBag

-- | An unordered collection where duplicate values are allowed,
-- but represented with a single value and a count.
type Bag a = [(a, Int)]

makeBag :: (Eq a) => [a] -> Bag a
makeBag [] = []
makeBag (a:as) = mix a $ makeBag as
  where
    mix a []                        = [(a,1)]
    mix a (bn@(b,n):bs) | a == b    = (b,n+1):bs
                        | otherwise = bn : mix a bs

permBag :: Bag a -> [[a]]
permBag [] = [[]]
permBag bs = concatMap (\(f,cs) -> map (f:) $ permBag cs) . oneOfEach $ bs
  where
    oneOfEach [] = []
    oneOfEach (an@(a,n):bs) =
        let bs' = if n == 1 then bs else (a,n-1):bs
        in (a,bs') : mapSnd (an:) (oneOfEach bs)
    
    apSnd f (a,b) = (a, f b)
    mapSnd = map . apSnd
</textarea></form>

    <script>
      var editor = CodeMirror.fromTextArea(document.getElementById("code"), {
        lineNumbers: true,
        matchBrackets: true,
        theme: "elegant"
      });
    </script>

    <p><strong>MIME types defined:</strong> <code>text/x-haskell</code>.</p>
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