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Within LTS Haskell 24.58 (ghc-9.10.3)

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  1. xinfoStreamRadixTreeKeys :: XInfoStreamResponse -> Integer

    hedis Database.Redis

    No documentation available.

  2. xinfoStreamRadixTreeKeys :: XInfoStreamResponse -> Integer

    hedis Database.Redis

    No documentation available.

  3. xinfoStreamRadixTreeNodes :: XInfoStreamResponse -> Integer

    hedis Database.Redis

    No documentation available.

  4. xinfoStreamRadixTreeNodes :: XInfoStreamResponse -> Integer

    hedis Database.Redis

    No documentation available.

  5. UnixSocket :: String -> PortID

    hedis Database.Redis.Sentinel

    No documentation available.

  6. xinfoStreamRadixTreeKeys :: XInfoStreamResponse -> Integer

    hedis Database.Redis.Sentinel

    No documentation available.

  7. xinfoStreamRadixTreeKeys :: XInfoStreamResponse -> Integer

    hedis Database.Redis.Sentinel

    No documentation available.

  8. xinfoStreamRadixTreeNodes :: XInfoStreamResponse -> Integer

    hedis Database.Redis.Sentinel

    No documentation available.

  9. xinfoStreamRadixTreeNodes :: XInfoStreamResponse -> Integer

    hedis Database.Redis.Sentinel

    No documentation available.

  10. fix :: (a -> a) -> a

    relude Relude.Function

    fix f is the least fixed point of the function f, i.e. the least defined x such that f x = x. When f is strict, this means that because, by the definition of strictness, f ⊥ = ⊥ and such the least defined fixed point of any strict function is .

    Examples

    We can write the factorial function using direct recursion as
    >>> let fac n = if n <= 1 then 1 else n * fac (n-1) in fac 5
    120
    
    This uses the fact that Haskell’s let introduces recursive bindings. We can rewrite this definition using fix, Instead of making a recursive call, we introduce a dummy parameter rec; when used within fix, this parameter then refers to fix’s argument, hence the recursion is reintroduced.
    >>> fix (\rec n -> if n <= 1 then 1 else n * rec (n-1)) 5
    120
    
    Using fix, we can implement versions of repeat as fix . (:) and cycle as fix . (++)
    >>> take 10 $ fix (0:)
    [0,0,0,0,0,0,0,0,0,0]
    
    >>> map (fix (\rec n -> if n < 2 then n else rec (n - 1) + rec (n - 2))) [1..10]
    [1,1,2,3,5,8,13,21,34,55]
    

    Implementation Details

    The current implementation of fix uses structural sharing
    fix f = let x = f x in x
    
    A more straightforward but non-sharing version would look like
    fix f = f (fix f)
    

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