Just another update
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6591 changed files with 94363 additions and 23227 deletions
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@ -1,25 +1,25 @@
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fix :: (a -> a) -> a
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fix f = f (fix f)
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fix f = f (fix f) -- _not_ the {fix f = x where x = f x}
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fac :: Integer -> Integer
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fac' f n | n <= 0 = 1
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fac_ f n | n <= 0 = 1
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| otherwise = n * f (n-1)
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fac = fix fac'
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fac = fix fac_ -- fac_ (fac_ . fac_ . fac_ . fac_ . ...)
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-- a simple but wasteful exponential time definition:
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fib :: Integer -> Integer
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fib' f 0 = 0
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fib' f 1 = 1
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fib' f n = f (n-1) + f (n-2)
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fib = fix fib'
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fib_ f 0 = 0
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fib_ f 1 = 1
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fib_ f n = f (n-1) + f (n-2)
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fib = fix fib_
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-- Or for far more efficiency, compute a lazy infinite list. This is
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-- a Y-combinator version of: fibs = 0:1:zipWith (+) fibs (tail fibs)
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fibs :: [Integer]
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fibs' a = 0:1:(fix zipP a (tail a))
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fibs_ a = 0:1:(fix zipP a (tail a))
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where
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zipP f (x:xs) (y:ys) = x+y : f xs ys
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fibs = fix fibs'
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fibs = fix fibs_
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-- This code shows how the functions can be used:
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main = do
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