+\begin{code}
+exprEtaExpandArity :: CoreExpr -> (Int, Bool)
+-- The Int is number of value args the thing can be
+-- applied to without doing much work
+-- The Bool is True iff there are enough explicit value lambdas
+-- at the top to make this arity apparent
+-- (but ignore it when arity==0)
+
+-- This is used when eta expanding
+-- e ==> \xy -> e x y
+--
+-- It returns 1 (or more) to:
+-- case x of p -> \s -> ...
+-- because for I/O ish things we really want to get that \s to the top.
+-- We are prepared to evaluate x each time round the loop in order to get that
+--
+-- Consider let x = expensive in \y z -> E
+-- We want this to have arity 2 if the \y-abstraction is a 1-shot lambda
+--
+-- Hence the list of Bools returned by go1
+-- NB: this is particularly important/useful for IO state
+-- transformers, where we often get
+-- let x = E in \ s -> ...
+-- and the \s is a real-world state token abstraction. Such
+-- abstractions are almost invariably 1-shot, so we want to
+-- pull the \s out, past the let x=E.
+-- The hack is in Id.isOneShotLambda
+
+exprEtaExpandArity e
+ = go 0 e
+ where
+ go :: Int -> CoreExpr -> (Int,Bool)
+ go ar (Lam x e) | isId x = go (ar+1) e
+ | otherwise = go ar e
+ go ar (Note n e) | ok_note n = go ar e
+ go ar other = (ar + ar', ar' == 0)
+ where
+ ar' = length (go1 other)
+
+ go1 :: CoreExpr -> [Bool]
+ -- (go1 e) = [b1,..,bn]
+ -- means expression can be rewritten \x_b1 -> ... \x_bn -> body
+ -- where bi is True <=> the lambda is one-shot
+
+ go1 (Note n e) | ok_note n = go1 e
+ go1 (Var v) = replicate (idArity v) False -- When the type of the Id
+ -- encodes one-shot-ness, use
+ -- the idinfo here
+
+ -- Lambdas; increase arity
+ go1 (Lam x e) | isId x = isOneShotLambda x : go1 e
+ | otherwise = go1 e
+
+ -- Applications; decrease arity
+ go1 (App f (Type _)) = go1 f
+ go1 (App f a) = case go1 f of
+ (one_shot : xs) | one_shot || exprIsCheap a -> xs
+ other -> []
+
+ -- Case/Let; keep arity if either the expression is cheap
+ -- or it's a 1-shot lambda
+ go1 (Case scrut _ alts) = case foldr1 (zipWith (&&)) [go1 rhs | (_,_,rhs) <- alts] of
+ xs@(one_shot : _) | one_shot || exprIsCheap scrut -> xs
+ other -> []
+ go1 (Let b e) = case go1 e of
+ xs@(one_shot : _) | one_shot || all exprIsCheap (rhssOfBind b) -> xs
+ other -> []
+
+ go1 other = []
+
+ ok_note (Coerce _ _) = True
+ ok_note InlineCall = True
+ ok_note other = False
+ -- Notice that we do not look through __inline_me__
+ -- This may seem surprising, but consider
+ -- f = _inline_me (\x -> e)
+ -- We DO NOT want to eta expand this to
+ -- f = \x -> (_inline_me (\x -> e)) x
+ -- because the _inline_me gets dropped now it is applied,
+ -- giving just
+ -- f = \x -> e
+ -- A Bad Idea
+
+min_zero :: [Int] -> Int -- Find the minimum, but zero is the smallest
+min_zero (x:xs) = go x xs
+ where
+ go 0 xs = 0 -- Nothing beats zero
+ go min [] = min
+ go min (x:xs) | x < min = go x xs
+ | otherwise = go min xs