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+{-# OPTIONS_GHC -fcontext-stack=1000 #-}
+{-# LANGUAGE
+ FlexibleContexts, FlexibleInstances, FunctionalDependencies,
+ MultiParamTypeClasses, OverlappingInstances, TypeSynonymInstances,
+ TypeOperators, UndecidableInstances, TypeFamilies #-}
+module T5321Fun where
+
+-- As the below code demonstrates, the same issues demonstrated with
+-- Functional Dependencies also appear with Type Families, although less
+--horribly, as their code-path seems more optimized in the current
+-- constraint solver:
+
+-- Our running example, for simplicity's sake, is a type-level map of a
+-- single function. For reference, here is the code for a simple
+-- value-level map of a single function.
+
+-- > vfoo = id
+-- > mapfoo (x : xs) = vfoo x : mapfoo xs
+-- > mapfoo [] = []
+
+-- Because Haskell is a lazy language, this runs in O(n) time and constant stack.
+
+-- We now lift map to the type level, to operate over HLists.
+
+-- First, the basic HList types
+
+infixr 3 :*
+data x :* xs = x :* xs deriving Show
+data HNil = HNil deriving Show
+
+-- Next, a large boring HList
+
+-- Adds ten cells
+addData x = i :* i :* d :* d :* s :*
+ i :* i :* d :* d :* s :*
+ x
+ where i = 1 :: Int
+ d = 1 :: Double
+ s = ""
+
+-- Has 70 cells.
+sampleData = addData $ addData $ addData $ addData $ addData $
+ addData $ addData $
+ HNil
+
+
+class TFoo x where
+ type TFooFun x
+ tfoo :: x -> TFooFun x
+ tfoo = undefined
+
+instance TFoo Int where
+ type TFooFun Int = Double
+instance TFoo Double where
+ type TFooFun Double = Int
+instance TFoo String where
+ type TFooFun String = String
+
+class THMapFoo1 as where
+ type THMapFoo1Res as
+ thMapFoo1 :: as -> THMapFoo1Res as
+
+instance (TFoo a, THMapFoo1 as) => THMapFoo1 (a :* as) where
+ type THMapFoo1Res (a :* as) = TFooFun a :* THMapFoo1Res as
+ thMapFoo1 (x :* xs) = tfoo x :* thMapFoo1 xs
+
+instance THMapFoo1 HNil where
+ type THMapFoo1Res HNil = HNil
+ thMapFoo1 _ = HNil
+
+-- The following, when enabled, takes ~3.5s. This demonstrates that slowdown occurs with type families as well.
+
+testTHMapFoo1 = thMapFoo1 sampleData
+
+class THMapFoo2 acc as where
+ type THMapFoo2Res acc as
+ thMapFoo2 :: acc -> as -> THMapFoo2Res acc as
+
+instance (TFoo a, THMapFoo2 (TFooFun a :* acc) as) => THMapFoo2 acc (a :* as) where
+ type THMapFoo2Res acc (a :* as) = THMapFoo2Res (TFooFun a :* acc) as
+ thMapFoo2 acc (x :* xs) = thMapFoo2 (tfoo x :* acc) xs
+
+instance THMapFoo2 acc HNil where
+ type THMapFoo2Res acc HNil = acc
+ thMapFoo2 acc _ = acc
+
+-- The following, when enabled, takes ~0.6s. This demonstrates that the
+-- tail recursive transform fixes the slowdown with type families just as
+-- with fundeps.
+
+testTHMapFoo2 = thMapFoo2 HNil sampleData
+
+class THMapFoo3 acc as where
+ type THMapFoo3Res acc as
+ thMapFoo3 :: acc -> as -> THMapFoo3Res acc as
+
+instance (THMapFoo3 (TFooFun a :* acc) as, TFoo a) => THMapFoo3 acc (a :* as) where
+ type THMapFoo3Res acc (a :* as) = THMapFoo3Res (TFooFun a :* acc) as
+ thMapFoo3 acc (x :* xs) = thMapFoo3 (tfoo x :* acc) xs
+
+instance THMapFoo3 acc HNil where
+ type THMapFoo3Res acc HNil = acc
+ thMapFoo3 acc _ = acc
+
+-- The following, when enabled, also takes ~0.6s. This demonstrates that,
+-- unlike the fundep case, the order of type class constraints does not,
+-- in this instance, affect the performance of type families.
+
+testTHMapFoo3 = thMapFoo3 HNil sampleData