+and desugar it to
+
+ fg = /\ab. let B in e1
+ gg = /\b. let a = () in let B in S(e2)
+ h = /\ab. let B in e3
+
+where B is the *non-recursive* binding
+ fl = fg a b
+ gl = gg b
+ h = h a b -- See (b); note shadowing!
+
+Notice (a) g has a different number of type variables to f, so we must
+ use the mkArbitraryType thing to fill in the gaps.
+ We use a type-let to do that.
+
+ (b) The local variable h isn't in the exports, and rather than
+ clone a fresh copy we simply replace h by (h a b), where
+ the two h's have different types! Shadowing happens here,
+ which looks confusing but works fine.
+
+ (c) The result is *still* quadratic-sized if there are a lot of
+ small bindings. So if there are more than some small
+ number (10), we filter the binding set B by the free
+ variables of the particular RHS. Tiresome.
+
+Why got to this trouble? It's a common case, and it removes the
+quadratic-sized tuple desugaring. Less clutter, hopefullly faster
+compilation, especially in a case where there are a *lot* of
+bindings.
+
+
+Note [Eta-expanding INLINE things]
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+Consider
+ foo :: Eq a => a -> a
+ {-# INLINE foo #-}
+ foo x = ...
+
+If (foo d) ever gets floated out as a common sub-expression (which can
+happen as a result of method sharing), there's a danger that we never
+get to do the inlining, which is a Terribly Bad thing given that the
+user said "inline"!
+
+To avoid this we pre-emptively eta-expand the definition, so that foo
+has the arity with which it is declared in the source code. In this
+example it has arity 2 (one for the Eq and one for x). Doing this
+should mean that (foo d) is a PAP and we don't share it.
+
+Note [Nested arities]
+~~~~~~~~~~~~~~~~~~~~~
+For reasons that are not entirely clear, method bindings come out looking like
+this:
+
+ AbsBinds [] [] [$cfromT <= [] fromT]
+ $cfromT [InlPrag=INLINE] :: T Bool -> Bool
+ { AbsBinds [] [] [fromT <= [] fromT_1]
+ fromT :: T Bool -> Bool
+ { fromT_1 ((TBool b)) = not b } } }
+
+Note the nested AbsBind. The arity for the InlineRule on $cfromT should be
+gotten from the binding for fromT_1.
+
+It might be better to have just one level of AbsBinds, but that requires more
+thought!
+
+Note [Implementing SPECIALISE pragmas]
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+Example:
+ f :: (Eq a, Ix b) => a -> b -> Bool
+ {-# SPECIALISE f :: (Ix p, Ix q) => Int -> (p,q) -> Bool #-}
+ f = <poly_rhs>
+
+From this the typechecker generates
+
+ AbsBinds [ab] [d1,d2] [([ab], f, f_mono, prags)] binds
+
+ SpecPrag (wrap_fn :: forall a b. (Eq a, Ix b) => XXX
+ -> forall p q. (Ix p, Ix q) => XXX[ Int/a, (p,q)/b ])
+
+Note that wrap_fn can transform *any* function with the right type prefix
+ forall ab. (Eq a, Ix b) => XXX
+regardless of XXX. It's sort of polymorphic in XXX. This is
+useful: we use the same wrapper to transform each of the class ops, as
+well as the dict.
+
+From these we generate:
+
+ Rule: forall p, q, (dp:Ix p), (dq:Ix q).
+ f Int (p,q) dInt ($dfInPair dp dq) = f_spec p q dp dq
+
+ Spec bind: f_spec = wrap_fn <poly_rhs>
+
+Note that
+
+ * The LHS of the rule may mention dictionary *expressions* (eg
+ $dfIxPair dp dq), and that is essential because the dp, dq are
+ needed on the RHS.
+
+ * The RHS of f_spec, <poly_rhs> has a *copy* of 'binds', so that it
+ can fully specialise it.
+
+\begin{code}
+------------------------
+dsSpecs :: Id -- The polymorphic Id
+ -> CoreExpr -- Its rhs
+ -> TcSpecPrags
+ -> DsM ( [(Id,CoreExpr)] -- Binding for specialised Ids
+ , [CoreRule] ) -- Rules for the Global Ids
+-- See Note [Implementing SPECIALISE pragmas]
+dsSpecs poly_id poly_rhs prags
+ = case prags of
+ IsDefaultMethod -> return ([], [])
+ SpecPrags sps -> do { pairs <- mapMaybeM spec_one sps
+ ; let (spec_binds_s, rules) = unzip pairs
+ ; return (concat spec_binds_s, rules) }
+ where
+ spec_one :: Located TcSpecPrag -> DsM (Maybe ([(Id,CoreExpr)], CoreRule))
+ spec_one (L loc (SpecPrag spec_co spec_inl))
+ = putSrcSpanDs loc $
+ do { let poly_name = idName poly_id
+ ; spec_name <- newLocalName poly_name
+ ; wrap_fn <- dsCoercion spec_co
+ ; let ds_spec_expr = wrap_fn (Var poly_id)
+ spec_ty = exprType ds_spec_expr
+ ; case decomposeRuleLhs ds_spec_expr of {
+ Nothing -> do { warnDs (decomp_msg spec_co)
+ ; return Nothing } ;
+
+ Just (bndrs, _fn, args) ->
+
+ -- Check for dead binders: Note [Unused spec binders]
+ case filter isDeadBinder bndrs of {
+ bs | not (null bs) -> do { warnDs (dead_msg bs); return Nothing }
+ | otherwise -> do
+
+ { (spec_unf, unf_pairs) <- specUnfolding wrap_fn spec_ty (realIdUnfolding poly_id)
+
+ ; let spec_id = mkLocalId spec_name spec_ty
+ `setInlinePragma` inl_prag
+ `setIdUnfolding` spec_unf
+ inl_prag | isDefaultInlinePragma spec_inl = idInlinePragma poly_id
+ | otherwise = spec_inl
+ -- Get the INLINE pragma from SPECIALISE declaration, or,
+ -- failing that, from the original Id
+
+ extra_dict_bndrs = [ mkLocalId (localiseName (idName d)) (idType d)
+ -- See Note [Constant rule dicts]
+ | d <- varSetElems (exprFreeVars ds_spec_expr)
+ , isDictId d]
+
+ rule = mkLocalRule (mkFastString ("SPEC " ++ showSDoc (ppr poly_name)))
+ AlwaysActive poly_name
+ (extra_dict_bndrs ++ bndrs) args
+ (mkVarApps (Var spec_id) bndrs)
+
+ spec_rhs = wrap_fn poly_rhs
+ spec_pair = makeCorePair spec_id False (dictArity bndrs) spec_rhs
+
+ ; return (Just (spec_pair : unf_pairs, rule))
+ } } } }