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Within LTS Haskell 24.58 (ghc-9.10.3)
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xinfoStreamRadixTreeKeys :: XInfoStreamResponse -> Integerhedis Database.Redis No documentation available.
xinfoStreamRadixTreeKeys :: XInfoStreamResponse -> Integerhedis Database.Redis No documentation available.
xinfoStreamRadixTreeNodes :: XInfoStreamResponse -> Integerhedis Database.Redis No documentation available.
xinfoStreamRadixTreeNodes :: XInfoStreamResponse -> Integerhedis Database.Redis No documentation available.
UnixSocket :: String -> PortIDhedis Database.Redis.Sentinel No documentation available.
xinfoStreamRadixTreeKeys :: XInfoStreamResponse -> Integerhedis Database.Redis.Sentinel No documentation available.
xinfoStreamRadixTreeKeys :: XInfoStreamResponse -> Integerhedis Database.Redis.Sentinel No documentation available.
xinfoStreamRadixTreeNodes :: XInfoStreamResponse -> Integerhedis Database.Redis.Sentinel No documentation available.
xinfoStreamRadixTreeNodes :: XInfoStreamResponse -> Integerhedis Database.Redis.Sentinel No documentation available.
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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 sharingfix f = let x = f x in x
A more straightforward but non-sharing version would look likefix f = f (fix f)