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by mrgriffin 2496 days ago
One solution to ensuring that the order is preserved (that I've actually used in production Haskell code where this was a real risk) is to use a heterogeneous list instead of a Vec.

  rzipWith :: (forall a. f a -> g a -> h a) -> Rec f as -> Rec g as -> Rec h as
With this type I don't think you'd be able to rearrange the elements, but you do have to pay the cost of using Const everywhere, as in you can specialize approximately my function as follows (handwavy, won't compile):

  zipWith :: (a -> b -> c) -> Vec n a -> Vec n b -> Vec n c
  zipWith f as bs = recToVec (rzipWith f' as' bs') where
    as' = vecToRec (fmap Const as)
    bs' = vecToRec (fmap Const bs)
    f' (Const a) (Const b) = Const (f a b)

  vecToRec :: Vec n (f a) -> Rec f (Replicate n a)
  recToVec :: Rec (Const a) as -> Vec (Length as) a
Rec is defined in Vinyl: https://hackage.haskell.org/package/vinyl-0.11.0/docs/Data-V...