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2025-08-11 05:48:20 <ski> Integer -> Integer -> ContT o (Cont p) Integer
2025-08-11 05:49:26 <ski> the former, `Integer -> Integer -> Cont o Integer', could be adapted, by replacing `o' by `m o', getting `Integer -> Integer -> ContT o m Integer'
2025-08-11 05:49:48 <ski> similarly, the latter can be adapted to `Integer -> Integer -> ContT o (ContT p m) Integer'
2025-08-11 05:50:30 <ski> albet70 : that helps, any ?
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2025-08-11 06:28:10 <dibblego> It is my understanding of Applicative laws, that left and right should always be equal, what am I missing? https://play.haskell.org/saved/wLdeG3EL
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2025-08-11 06:32:46 <ski> albet70 : exercise, write `selectC :: (Foldable t,Monad m) => t a -> ContT () m a' (using `for_'), `selectCC :: Foldable t => t a -> ContT () (ContT o m) a' (using `foldr'), and then the corresponding "run" functions `collectCS :: ContT () (State [a]) a -> [a]' and `collectCCL :: ContT () (ContT a []) a -> [a]'. compute `collectCS (selectC [2,3,5,7])' and `collectCCL (selectCC [2,3,5,7])'
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2025-08-11 06:39:45 <c_wraith> dibblego: are you basing that on the composition law?
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2025-08-11 06:40:19 <c_wraith> because the parens in right are different from the composition law
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2025-08-11 06:40:46 <dibblego> c_wraith: yes, also, listed here more explicitly: https://hackage-content.haskell.org/package/semigroupoids-6.0.1/docs/Data-Functor-Apply.html#t:Apply
2025-08-11 06:41:02 <c_wraith> You need right = (. f) <$> x <*> y
2025-08-11 06:41:13 <c_wraith> adding parens changes the association
2025-08-11 06:41:15 <dibblego> darnit, thank you
2025-08-11 06:42:19 <ski> ($ 99) <$> (x <*> (f <$> y)) = ($ 99) <$> (Just (*) <*> ((+ 1) <$> Just 7)) = ($ 99) <$> (Just ((7 + 1) *))) = Just ((7 + 1) * 99)
2025-08-11 06:42:22 <ski> ($ 99) <$> ((. f) <$> (x <*> y)) = ($ 99) <$> ((. (+ 1)) <$> (Just (*) <*> Just 7)) = ($ 99) <$> Just ((7 *) . (+ 1)) = Just (7 * (99 + 1))
2025-08-11 06:42:52 <dibblego> yeah, I just skipped over that, thanks
2025-08-11 06:43:48 <ski> mm, that looks more sensible, with that association
2025-08-11 06:44:38 <c_wraith> I didn't bother actually working out the way each calculates. I just looked at the law, noticed that the association looked off, and tested changing it. :)
2025-08-11 06:45:06 ski didn't recognize where it was supposed to be taken from
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2025-08-11 06:49:53 <c_wraith> I looked at the laws listed in https://hackage.haskell.org/package/base-4.21.0.0/docs/Control-Applicative.html
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2025-08-11 06:50:09 <c_wraith> I never actually remember what they are - just that they're really squirrely compared to the monad laws
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2025-08-11 06:52:53 <ski> pure (.) <*> u <*> v <*> w = u <*> (v <*> w) -- Composition
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2025-08-11 06:53:47 <ski> not seeing how `x <*> (f <$> y) = (. f) <$> x <*> y)' follows, really
2025-08-11 06:53:53 <ski> hm. i guess
2025-08-11 06:54:06 <ski> u <*> pure y = pure ($ y) <*> u -- Interchange
2025-08-11 06:54:09 <ski> may be involved
2025-08-11 06:54:28 <c_wraith> nah, the only thing involved is pure f <*> x === f <$> x
2025-08-11 06:54:52 <c_wraith> that's the only rewrite away from it being exactly the composition law
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2025-08-11 06:55:33 <c_wraith> Oh, no. You're right, you need to factor the f in.
2025-08-11 06:55:49 <ski> the order is swapped
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2025-08-11 06:58:27 <c_wraith> ok, yeah. that gets interchange involved
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2025-08-11 07:05:31 <Leary> I hate the `Applicative` laws in the haddocks. They should just be associativity of `liftA2 (.)` with identity `pure id`.
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2025-08-11 07:09:10 <ski> @type GHC.Base.liftA2
2025-08-11 07:09:11 <lambdabot> Applicative f => (a -> b -> c) -> f a -> f b -> f c
2025-08-11 07:09:16 <ski> (that's a method)
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2025-08-11 08:00:06 <jackdk> Now that it's a method, could they be revised?
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