singletons 2.4.1 → 2.5
raw patch · 306 files changed
+28541/−17104 lines, 306 filesdep +prettydep −directorydep ~basedep ~th-desugarbuild-type:Customsetup-changed
Dependencies added: pretty
Dependencies removed: directory
Dependency ranges changed: base, th-desugar
Files
- CHANGES.md +120/−0
- README.md +145/−49
- Setup.hs +137/−1
- singletons.cabal +51/−35
- src/Data/Promotion/Prelude.hs +0/−186
- src/Data/Promotion/Prelude/Base.hs +0/−55
- src/Data/Promotion/Prelude/Bool.hs +0/−44
- src/Data/Promotion/Prelude/Either.hs +0/−38
- src/Data/Promotion/Prelude/Enum.hs +0/−32
- src/Data/Promotion/Prelude/Eq.hs +0/−21
- src/Data/Promotion/Prelude/Function.hs +0/−40
- src/Data/Promotion/Prelude/IsString.hs +0/−22
- src/Data/Promotion/Prelude/List.hs +0/−309
- src/Data/Promotion/Prelude/List/NonEmpty.hs +0/−129
- src/Data/Promotion/Prelude/Maybe.hs +0/−42
- src/Data/Promotion/Prelude/Num.hs +0/−32
- src/Data/Promotion/Prelude/Ord.hs +0/−35
- src/Data/Promotion/Prelude/Show.hs +0/−36
- src/Data/Promotion/Prelude/Tuple.hs +0/−39
- src/Data/Promotion/Prelude/Void.hs +0/−28
- src/Data/Promotion/TH.hs +0/−92
- src/Data/Singletons.hs +18/−8
- src/Data/Singletons/CustomStar.hs +37/−31
- src/Data/Singletons/Decide.hs +3/−3
- src/Data/Singletons/Deriving/Bounded.hs +5/−3
- src/Data/Singletons/Deriving/Enum.hs +9/−7
- src/Data/Singletons/Deriving/Foldable.hs +99/−0
- src/Data/Singletons/Deriving/Functor.hs +95/−0
- src/Data/Singletons/Deriving/Infer.hs +63/−15
- src/Data/Singletons/Deriving/Ord.hs +5/−3
- src/Data/Singletons/Deriving/Show.hs +54/−97
- src/Data/Singletons/Deriving/Traversable.hs +69/−0
- src/Data/Singletons/Deriving/Util.hs +313/−0
- src/Data/Singletons/Internal.hs +15/−13
- src/Data/Singletons/Names.hs +37/−11
- src/Data/Singletons/Partition.hs +162/−77
- src/Data/Singletons/Prelude.hs +91/−17
- src/Data/Singletons/Prelude/Applicative.hs +73/−0
- src/Data/Singletons/Prelude/Base.hs +19/−3
- src/Data/Singletons/Prelude/Bool.hs +14/−3
- src/Data/Singletons/Prelude/Const.hs +141/−0
- src/Data/Singletons/Prelude/Either.hs +3/−3
- src/Data/Singletons/Prelude/Enum.hs +1/−1
- src/Data/Singletons/Prelude/Eq.hs +38/−11
- src/Data/Singletons/Prelude/Foldable.hs +645/−0
- src/Data/Singletons/Prelude/Function.hs +7/−3
- src/Data/Singletons/Prelude/Functor.hs +206/−0
- src/Data/Singletons/Prelude/Identity.hs +114/−0
- src/Data/Singletons/Prelude/Instances.hs +1/−1
- src/Data/Singletons/Prelude/IsString.hs +19/−3
- src/Data/Singletons/Prelude/List.hs +57/−579
- src/Data/Singletons/Prelude/List/Internal.hs +670/−0
- src/Data/Singletons/Prelude/List/Internal/Disambiguation.hs +169/−0
- src/Data/Singletons/Prelude/List/NonEmpty.hs +9/−6
- src/Data/Singletons/Prelude/List/NonEmpty/Internal.hs +0/−133
- src/Data/Singletons/Prelude/Maybe.hs +2/−2
- src/Data/Singletons/Prelude/Monad.hs +293/−0
- src/Data/Singletons/Prelude/Monad/Internal.hs +519/−0
- src/Data/Singletons/Prelude/Monad/Zip.hs +106/−0
- src/Data/Singletons/Prelude/Monoid.hs +214/−0
- src/Data/Singletons/Prelude/Num.hs +20/−3
- src/Data/Singletons/Prelude/Ord.hs +25/−4
- src/Data/Singletons/Prelude/Semigroup.hs +308/−0
- src/Data/Singletons/Prelude/Semigroup/Internal.hs +280/−0
- src/Data/Singletons/Prelude/Show.hs +8/−8
- src/Data/Singletons/Prelude/Traversable.hs +286/−0
- src/Data/Singletons/Prelude/Tuple.hs +2/−2
- src/Data/Singletons/Prelude/Void.hs +4/−3
- src/Data/Singletons/Promote.hs +233/−132
- src/Data/Singletons/Promote/Defun.hs +438/−100
- src/Data/Singletons/Promote/Monad.hs +76/−1
- src/Data/Singletons/Promote/Type.hs +4/−5
- src/Data/Singletons/ShowSing.hs +54/−51
- src/Data/Singletons/Sigma.hs +12/−5
- src/Data/Singletons/Single.hs +359/−167
- src/Data/Singletons/Single/Data.hs +24/−22
- src/Data/Singletons/Single/Defun.hs +213/−0
- src/Data/Singletons/Single/Fixity.hs +3/−3
- src/Data/Singletons/Single/Monad.hs +63/−2
- src/Data/Singletons/Single/Type.hs +19/−5
- src/Data/Singletons/Syntax.hs +76/−20
- src/Data/Singletons/TH.hs +24/−4
- src/Data/Singletons/TypeError.hs +188/−0
- src/Data/Singletons/TypeLits.hs +39/−7
- src/Data/Singletons/TypeLits/Internal.hs +71/−41
- src/Data/Singletons/TypeRepStar.hs +0/−97
- src/Data/Singletons/TypeRepTYPE.hs +100/−0
- src/Data/Singletons/Util.hs +72/−42
- tests/ByHand.hs +864/−0
- tests/ByHand2.hs +210/−0
- tests/SingletonsTestSuite.hs +19/−0
- tests/SingletonsTestSuiteUtils.hs +22/−61
- tests/compile-and-dump/GradingClient/Database.ghc84.template +0/−2563
- tests/compile-and-dump/GradingClient/Database.ghc86.template +2610/−0
- tests/compile-and-dump/GradingClient/Database.hs +1/−1
- tests/compile-and-dump/GradingClient/Main.ghc84.template +0/−123
- tests/compile-and-dump/GradingClient/Main.ghc86.template +123/−0
- tests/compile-and-dump/InsertionSort/InsertionSortImp.ghc84.template +0/−177
- tests/compile-and-dump/InsertionSort/InsertionSortImp.ghc86.template +212/−0
- tests/compile-and-dump/Promote/Constructors.ghc84.template +0/−70
- tests/compile-and-dump/Promote/Constructors.ghc86.template +79/−0
- tests/compile-and-dump/Promote/Constructors.hs +0/−2
- tests/compile-and-dump/Promote/GenDefunSymbols.ghc84.template +0/−47
- tests/compile-and-dump/Promote/GenDefunSymbols.ghc86.template +54/−0
- tests/compile-and-dump/Promote/GenDefunSymbols.hs +4/−6
- tests/compile-and-dump/Promote/Newtypes.ghc84.template +0/−42
- tests/compile-and-dump/Promote/Newtypes.ghc86.template +48/−0
- tests/compile-and-dump/Promote/Newtypes.hs +0/−2
- tests/compile-and-dump/Promote/Pragmas.ghc84.template +0/−12
- tests/compile-and-dump/Promote/Pragmas.ghc86.template +12/−0
- tests/compile-and-dump/Promote/Pragmas.hs +1/−1
- tests/compile-and-dump/Promote/Prelude.ghc84.template +0/−17
- tests/compile-and-dump/Promote/Prelude.ghc86.template +19/−0
- tests/compile-and-dump/Promote/Prelude.hs +3/−3
- tests/compile-and-dump/Promote/T180.ghc84.template +0/−48
- tests/compile-and-dump/Promote/T180.ghc86.template +54/−0
- tests/compile-and-dump/Promote/T361.ghc86.template +21/−0
- tests/compile-and-dump/Promote/T361.hs +11/−0
- tests/compile-and-dump/Singletons/AsPattern.ghc84.template +0/−352
- tests/compile-and-dump/Singletons/AsPattern.ghc86.template +405/−0
- tests/compile-and-dump/Singletons/BadBoundedDeriving.ghc84.template +0/−6
- tests/compile-and-dump/Singletons/BadBoundedDeriving.ghc86.template +6/−0
- tests/compile-and-dump/Singletons/BadEnumDeriving.ghc84.template +0/−6
- tests/compile-and-dump/Singletons/BadEnumDeriving.ghc86.template +6/−0
- tests/compile-and-dump/Singletons/BoundedDeriving.ghc84.template +0/−229
- tests/compile-and-dump/Singletons/BoundedDeriving.ghc86.template +249/−0
- tests/compile-and-dump/Singletons/BoundedDeriving.hs +1/−1
- tests/compile-and-dump/Singletons/BoxUnBox.ghc84.template +0/−42
- tests/compile-and-dump/Singletons/BoxUnBox.ghc86.template +54/−0
- tests/compile-and-dump/Singletons/BoxUnBox.hs +0/−2
- tests/compile-and-dump/Singletons/CaseExpressions.ghc84.template +0/−273
- tests/compile-and-dump/Singletons/CaseExpressions.ghc86.template +319/−0
- tests/compile-and-dump/Singletons/CaseExpressions.hs +0/−1
- tests/compile-and-dump/Singletons/Classes.ghc84.template +0/−533
- tests/compile-and-dump/Singletons/Classes.ghc86.template +577/−0
- tests/compile-and-dump/Singletons/Classes2.ghc84.template +0/−86
- tests/compile-and-dump/Singletons/Classes2.ghc86.template +91/−0
- tests/compile-and-dump/Singletons/Contains.ghc84.template +0/−41
- tests/compile-and-dump/Singletons/Contains.ghc86.template +50/−0
- tests/compile-and-dump/Singletons/DataValues.ghc84.template +0/−187
- tests/compile-and-dump/Singletons/DataValues.ghc86.template +186/−0
- tests/compile-and-dump/Singletons/Empty.ghc84.template +0/−10
- tests/compile-and-dump/Singletons/Empty.ghc86.template +10/−0
- tests/compile-and-dump/Singletons/EmptyShowDeriving.ghc84.template +0/−74
- tests/compile-and-dump/Singletons/EmptyShowDeriving.ghc86.template +68/−0
- tests/compile-and-dump/Singletons/EnumDeriving.ghc84.template +0/−199
- tests/compile-and-dump/Singletons/EnumDeriving.ghc86.template +199/−0
- tests/compile-and-dump/Singletons/EqInstances.ghc84.template +0/−21
- tests/compile-and-dump/Singletons/EqInstances.ghc86.template +21/−0
- tests/compile-and-dump/Singletons/Error.ghc84.template +0/−24
- tests/compile-and-dump/Singletons/Error.ghc86.template +30/−0
- tests/compile-and-dump/Singletons/Error.hs +1/−1
- tests/compile-and-dump/Singletons/Fixity.ghc84.template +0/−66
- tests/compile-and-dump/Singletons/Fixity.ghc86.template +86/−0
- tests/compile-and-dump/Singletons/FunDeps.ghc84.template +0/−86
- tests/compile-and-dump/Singletons/FunDeps.ghc86.template +96/−0
- tests/compile-and-dump/Singletons/FunctorLikeDeriving.ghc86.template +1646/−0
- tests/compile-and-dump/Singletons/FunctorLikeDeriving.hs +17/−0
- tests/compile-and-dump/Singletons/HigherOrder.ghc84.template +0/−424
- tests/compile-and-dump/Singletons/HigherOrder.ghc86.template +480/−0
- tests/compile-and-dump/Singletons/LambdaCase.ghc84.template +0/−221
- tests/compile-and-dump/Singletons/LambdaCase.ghc86.template +252/−0
- tests/compile-and-dump/Singletons/Lambdas.ghc84.template +0/−704
- tests/compile-and-dump/Singletons/Lambdas.ghc86.template +830/−0
- tests/compile-and-dump/Singletons/Lambdas.hs +1/−1
- tests/compile-and-dump/Singletons/LambdasComprehensive.ghc84.template +0/−71
- tests/compile-and-dump/Singletons/LambdasComprehensive.ghc86.template +71/−0
- tests/compile-and-dump/Singletons/LetStatements.ghc84.template +0/−908
- tests/compile-and-dump/Singletons/LetStatements.ghc86.template +1002/−0
- tests/compile-and-dump/Singletons/LetStatements.hs +1/−1
- tests/compile-and-dump/Singletons/Maybe.ghc84.template +0/−145
- tests/compile-and-dump/Singletons/Maybe.ghc86.template +140/−0
- tests/compile-and-dump/Singletons/Nat.ghc84.template +0/−260
- tests/compile-and-dump/Singletons/Nat.ghc86.template +266/−0
- tests/compile-and-dump/Singletons/NatSymbolReflexive.ghc86.template +0/−0
- tests/compile-and-dump/Singletons/NatSymbolReflexive.hs +11/−0
- tests/compile-and-dump/Singletons/Operators.ghc84.template +0/−103
- tests/compile-and-dump/Singletons/Operators.ghc86.template +128/−0
- tests/compile-and-dump/Singletons/Operators.hs +0/−2
- tests/compile-and-dump/Singletons/OrdDeriving.ghc84.template +0/−999
- tests/compile-and-dump/Singletons/OrdDeriving.ghc86.template +1235/−0
- tests/compile-and-dump/Singletons/OverloadedStrings.ghc84.template +0/−31
- tests/compile-and-dump/Singletons/OverloadedStrings.ghc86.template +35/−0
- tests/compile-and-dump/Singletons/PatternMatching.ghc84.template +0/−544
- tests/compile-and-dump/Singletons/PatternMatching.ghc86.template +574/−0
- tests/compile-and-dump/Singletons/PolyKinds.ghc84.template +0/−22
- tests/compile-and-dump/Singletons/PolyKinds.ghc86.template +28/−0
- tests/compile-and-dump/Singletons/PolyKindsApp.ghc84.template +0/−12
- tests/compile-and-dump/Singletons/PolyKindsApp.ghc86.template +12/−0
- tests/compile-and-dump/Singletons/PolyKindsApp.hs +1/−1
- tests/compile-and-dump/Singletons/Records.ghc84.template +0/−61
- tests/compile-and-dump/Singletons/Records.ghc86.template +79/−0
- tests/compile-and-dump/Singletons/Records.hs +0/−1
- tests/compile-and-dump/Singletons/ReturnFunc.ghc84.template +0/−76
- tests/compile-and-dump/Singletons/ReturnFunc.ghc86.template +98/−0
- tests/compile-and-dump/Singletons/ReturnFunc.hs +0/−2
- tests/compile-and-dump/Singletons/Sections.ghc84.template +0/−113
- tests/compile-and-dump/Singletons/Sections.ghc86.template +122/−0
- tests/compile-and-dump/Singletons/ShowDeriving.ghc84.template +0/−591
- tests/compile-and-dump/Singletons/ShowDeriving.ghc86.template +582/−0
- tests/compile-and-dump/Singletons/StandaloneDeriving.ghc84.template +0/−454
- tests/compile-and-dump/Singletons/StandaloneDeriving.ghc86.template +447/−0
- tests/compile-and-dump/Singletons/Star.ghc84.template +0/−405
- tests/compile-and-dump/Singletons/Star.ghc86.template +422/−0
- tests/compile-and-dump/Singletons/Star.hs +1/−3
- tests/compile-and-dump/Singletons/T124.ghc84.template +0/−29
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CHANGES.md view
@@ -1,6 +1,126 @@ Changelog for singletons project ================================ +2.5+---+* The `Data.Promotion.Prelude.*` namespace has been removed. Use the+ corresponding modules in the `Data.Singletons.Prelude.*` namespace instead.++* Fix a regression in which certain infix type families, such as `(++)`, `($)`,+ `(+)`, and others, did not have the correct fixities.++* The default implementation of the `(==)` type in `PEq` was changed from+ `(Data.Type.Equality.==)` to a custom type family, `DefaultEq`. The reason+ for this change is that `(Data.Type.Equality.==)` is unable to conclude that+ `a == a` reduces to `True` for any `a`. (As a result, the previous version of+ `singletons` regressed in terms of type inference for the `PEq` instances+ for `Nat` and `Symbol`, which used that default.) On the other hand,+ `DefaultEq a a` _does_ reduce to `True` for all `a`.++* Add `Enum Nat`, `Show Nat`, and `Show Symbol` instances to+ `Data.Singletons.TypeLits`.++* Template Haskell-generated code may require `DataKinds` and `PolyKinds` in+ scenarios which did not previously require it:+ * `singletons` now explicitly quantifies all kind variables used in explicit+ `forall`s.+ * `singletons` now generates `a ~> b` instead of `TyFun a b -> Type` whenever+ possible.++* Since `th-desugar` now desugars all data types to GADT syntax, Template+ Haskell-generated code may require `GADTs` in situations that didn't require+ it before.++* Overhaul the way derived `Show` instances for singleton types works. Before,+ there was an awkward `ShowSing` class (which was essentially a cargo-culted+ version of `Show` specialized for `Sing`) that one had to create instances+ for separately. Now that GHC has `QuantifiedConstraints`, we can scrap this+ whole class and turn `ShowSing` into a simple type synonym:++ ```haskell+ type ShowSing k = forall z. Show (Sing (z :: k))+ ```++ Now, instead of generating a hand-written `ShowSing` and `Show` instance for+ each singleton type, we only generate a single (derived!) `Show` instance.+ As a result of this change, you will likely need to enable+ `QuantifiedConstraints` and `StandaloneDeriving` if you single any derived+ `Show` instances in your code.++* The kind of the type parameter to `SingI` is no longer specified. This only+ affects you if you were using the `sing` method with `TypeApplications`. For+ instance, if you were using `sing @Bool @True` before, then you will now need+ to now use `sing @Bool` instead.++* `singletons` now generates `SingI` instances for defunctionalization symbols+ through Template Haskell. As a result, you may need to enable+ `FlexibleInstances` in more places.++* `genDefunSymbols` is now more robust with respect to types that use+ dependent quantification, such as:++ ```haskell+ type family MyProxy k (a :: k) :: Type where+ MyProxy k (a :: k) = Proxy a+ ```++ See the documentation for `genDefunSymbols` for limitations to this.++* Rename `Data.Singletons.TypeRepStar` to `Data.Singletons.TypeRepTYPE`, and+ generalize the `Sing :: Type -> Type` instance to `Sing :: TYPE rep -> Type`,+ allowing it to work over more open kinds. Also rename `SomeTypeRepStar` to+ `SomeTypeRepTYPE`, and change its definition accordingly.++* Promoting or singling a type synonym or type family declaration now produces+ defunctionalization symbols for it. (Previously, promoting or singling a type+ synonym did nothing whatsoever, and promoting or singling a type family+ produced an error.)++* `singletons` now produces fixity declarations for defunctionalization+ symbols when appropriate.++* Add `(%<=?)`, a singled version of `(<=?)` from `GHC.TypeNats`, as well as+ defunctionalization symbols for `(<=?)`, to `Data.Singletons.TypeLits`.++* Add `Data.Singletons.Prelude.{Semigroup,Monoid}`, which define+ promoted and singled versions of the `Semigroup` and `Monoid` type classes,+ as well as various newtype modifiers.++ `Symbol` is now has promoted `Semigroup` and `Monoid` instances as well.+ As a consequence, `Data.Singletons.TypeLits` no longer exports `(<>)` or+ `(%<>)`, as they are superseded by the corresponding methods from+ `PSemigroup` and `SSemigroup`.++* Add promoted and singled versions of the `Functor`, `Foldable`,+ `Traversable`, `Applicative`, `Alternative`, `Monad`, `MonadPlus`, and+ `MonadZip` classes. Among other things, this grants the ability to promote+ or single `do`-notation and list comprehensions.+ * `Data.Singletons.Prelude.List` now reexports more general+ `Foldable`/`Traversable` functions wherever possible, just as `Data.List`+ does.++* Add `Data.Singletons.Prelude.{Const,Identity}`, which define+ promoted and singled version of the `Const` and `Identity` data types,+ respectively.++* Promote and single the `Down` newtype in `Data.Singletons.Prelude.Ord`.++* To match the `base` library, the promoted/singled versions of `comparing`+ and `thenCmp` are no longer exported from `Data.Singletons.Prelude`. (They+ continue to live in `Data.Singletons.Prelude.Ord`.)++* Permit singling of expression and pattern signatures.++* Permit promotion and singling of `InstanceSigs`.++* `sError` and `sUndefined` now have `HasCallStack` constraints, like their+ counterparts `error` and `undefined`. The promoted and singled counterparts+ to `errorWithoutStackTrace` have also been added in case you do not want+ this behavior.++* Add `Data.Singletons.TypeError`, which provides a drop-in replacement for+ `GHC.TypeLits.TypeError` which can be used at both the value- and type-level.+ 2.4.1 ----- * Restore the `TyCon1`, `TyCon2`, etc. types. It turns out that the new
README.md view
@@ -1,4 +1,4 @@-singletons 2.4+singletons 2.5 ============== [](http://hackage.haskell.org/package/singletons)@@ -36,11 +36,12 @@ Compatibility ------------- -The singletons library requires GHC 8.4.1 or greater. Any code that uses the+The singletons library requires GHC 8.6.1 or greater. Any code that uses the singleton generation primitives needs to enable a long list of GHC extensions. This list includes, but is not necessarily limited to, the following: +* `DataKinds` * `DefaultSignatures` * `EmptyCase` * `ExistentialQuantification`@@ -49,14 +50,21 @@ * `GADTs` * `InstanceSigs` * `KindSignatures`+* `NoStarIsType`+* `PolyKinds`+* `QuantifiedConstraints` * `RankNTypes` * `ScopedTypeVariables`+* `StandaloneDeriving` * `TemplateHaskell` * `TypeFamilies`-* `TypeInType` * `TypeOperators` * `UndecidableInstances` +In particular, `NoStarIsType` is needed to use the `*` type family from the+`PNum` class because with `StarIsType` enabled, GHC thinks `*` is a synonym+for `Type`.+ You may also want * `-Wno-redundant-constraints`@@ -220,22 +228,26 @@ Promoted and singled versions of the `Show` class (`PShow` and `SShow`, respectively) are provided in the `Data.Singletons.Prelude.Show` module. In-addition, there is a `ShowSing` class provided in the-`Data.Singletons.ShowSing` module, which facilitates the ability to write-`Show` instances for `Sing` instances.+addition, there is a `ShowSing` constraint synonym provided in the+`Data.Singletons.ShowSing` module: -What is the difference between the two? Let's use the `False` constructor as an-example. If you used the `PShow Bool` instance, then the output of calling+```haskell+type ShowSing k = (forall z. Show (Sing (z :: k))+```++This facilitates the ability to write `Show` instances for `Sing` instances.++What distinguishes all of these `Show`s? Let's use the `False` constructor as+an example. If you used the `PShow Bool` instance, then the output of calling `Show_` on `False` is `"False"`, much like the value-level `Show Bool` instance-(similarly for the `SShow Bool` instance). However, the `ShowSing Bool`-instance is intended for printing the value of the _singleton_ constructor-`SFalse`, so calling `showsSingPrec 0 SFalse` yields `"SFalse"` (simiarly for-the `Show (Sing (SBool z))` instance).+(similarly for the `SShow Bool` instance). However, the `Show (Sing (z :: Bool))`+instance (i.e., `ShowSing Bool`) is intended for printing the value of the+_singleton_ constructor `SFalse`, so calling `show SFalse` yields `"SFalse"`. -Instance of `PShow`, `SShow`, `ShowSing`, and `Show` (for the singleton type)-are generated when `singletons` is called on a datatype that has-`deriving Show`. You can also generate these instances directly through-functions exported from `Data.Singletons.TH`.+Instance of `PShow`, `SShow`, and `Show` (for the singleton type) are generated+when `singletons` is called on a datatype that has `deriving Show`. You can also+generate these instances directly through functions exported from+`Data.Singletons.TH`. A promoted and singled `Show` instance is provided for `Symbol`, but it is only a crude approximation of the value-level `Show` instance for `String`. On the@@ -244,7 +256,28 @@ something which is currently impossible at the type level. As a consequence, the type-level `Show` instance for `Symbol`s does not do any character escaping. +Errors+------ +The `singletons` library provides two different ways to handle errors:++* The `Error` type family, from `Data.Singletons.TypeLits`:++ ```haskell+ type family Error (str :: a) :: k where {}+ ```++ This is simply an empty, closed type family, which means that it will fail+ to reduce regardless of its input. The typical use case is giving it a+ `Symbol` as an argument, so that something akin to+ `Error "This is an error message"` appears in error messages.+* The `TypeError` type family, from `Data.Singletons.TypeError`. This is a+ drop-in replacement for `TypeError` from `GHC.TypeLits` which can be used+ at both the type level and the value level (via the `typeError` function).++ Unlike `Error`, `TypeError` will result in an actual compile-time error+ message, which may be more desirable depending on the use case.+ Pre-defined singletons ---------------------- @@ -540,11 +573,13 @@ * infix expressions and types * `_` patterns * aliased patterns-* lists+* lists (including list comprehensions)+* `do`-notation * sections * undefined * error-* deriving `Eq`, `Ord`, `Show`, `Bounded`, and `Enum`+* deriving `Eq`, `Ord`, `Show`, `Bounded`, `Enum`, `Functor`, `Foldable`, and+ `Traversable`, as well as the `stock` and `anyclass` deriving strategies * class constraints (though these sometimes fail with `let`, `lambda`, and `case`) * literals (for `Nat` and `Symbol`), including overloaded number literals * unboxed tuples (which are treated as normal tuples)@@ -555,8 +590,13 @@ * lambda expressions * `!` and `~` patterns (silently but successfully ignored during promotion) * class and instance declarations+* scoped type variables+* signatures (e.g., `(x :: Maybe a)`) in expressions and patterns+* `InstanceSigs` * higher-kinded type variables (see below)+* finite arithmetic sequences (see below) * functional dependencies (with limitations -- see below)+* type families (with limitations -- see below) Higher-kinded type variables in `class`/`data` declarations must be annotated explicitly. This is due to GHC's handling of *complete@@ -568,49 +608,80 @@ background. `singletons` is slightly more conservative with respect to `deriving` than GHC is.-The stock classes listed above (`Eq`, `Ord`, `Show`, `Bounded`, and `Enum`) are-the only ones that `singletons` will derive without an explicit deriving strategy.-To do anything more exotic, one must explicitly indicate one's intentions by-using the `DerivingStrategies` extension.+The stock classes listed above (`Eq`, `Ord`, `Show`, `Bounded`, `Enum`, `Functor`,+`Foldable`, and `Traversable`) are the only ones that `singletons` will derive+without an explicit deriving strategy. To do anything more exotic, one must+explicitly indicate one's intentions by using the `DerivingStrategies` extension. `singletons` fully supports the `anyclass` strategy as well as the `stock` strategy (at least, for the classes listed above). `singletons` does not support the `newtype` strategy, as there is not an equivalent of `coerce` at the type level. +`singletons` has partial support for arithmetic sequences (which desugar to+methods from the `Enum` class under the hood). _Finite_ sequences (e.g.,+[0..42]) are fully supported. However, _infinite_ sequences (e.g., [0..]),+which desugar to calls to `enumFromTo` or `enumFromThenTo`, are not supported,+as these would require using infinite lists at the type level.+ The following constructs are supported for promotion but not singleton generation: -* scoped type variables+* datatypes with constructors which have contexts. For example, the following+ datatype does not singletonize:++ ```haskell+ data T a where+ MkT :: Show a => a -> T a+ ```++ Constructors like these do not interact well with the current design of the+ `SingKind` class. But see+ [this bug report](https://github.com/goldfirere/singletons/issues/150), which+ proposes a redesign for `SingKind` (in a future version of GHC with certain+ bugfixes) which could permit constructors with equality constraints.+ * overlapping patterns. Note that overlapping patterns are sometimes not obvious. For example, the `filter` function does not singletonize due to overlapping patterns:-```haskell-filter :: (a -> Bool) -> [a] -> [a]-filter _pred [] = []-filter pred (x:xs)- | pred x = x : filter pred xs- | otherwise = filter pred xs-```-Overlap is caused by `otherwise` catch-all guard, which is always true and thus++ ```haskell+ filter :: (a -> Bool) -> [a] -> [a]+ filter _pred [] = []+ filter pred (x:xs)+ | pred x = x : filter pred xs+ | otherwise = filter pred xs+ ```+ Overlap is caused by `otherwise` catch-all guard, which is always true and thus overlaps with `pred x` guard. + Another non-obvious source of overlapping patterns comes from partial pattern+ matches in `do`-notation. For example:++ ```haskell+ f :: [()]+ f = do+ Just () <- [Nothing]+ return ()+ ```++ This has overlap because the partial pattern match desugars to the following:++ ```haskell+ f :: [()]+ f = case [Nothing] of+ Just () -> return ()+ _ -> fail "Partial pattern match in do notation"+ ```++ Here, it is more evident that the catch-all pattern `_` overlaps with the+ one above it.+ The following constructs are not supported: -* list comprehensions-* do-* arithmetic sequences * datatypes that store arrows, `Nat`, or `Symbol` * literals (limited support) -Why are these out of reach? The first two depend on monads, which mention a-higher-kinded type variable. GHC did not support higher-sorted kind variables,-which are be necessary to promote/singletonize monads, and `singletons` has-not be rewritten to accommodate this new ability. [This bug-report](https://github.com/goldfirere/singletons/issues/184) is a feature request-looking for support for these constructs.--Arithmetic sequences are defined using `Enum` typeclass, which uses infinite-lists.+Why are these out of reach? As described in the promotion paper, promotion of datatypes that store arrows is currently impossible. So if you have a declaration such as@@ -641,18 +712,19 @@ updated for this to really work out. In the meantime, users who wish to experiment with this feature have two options: -1) The module `Data.Singletons.TypeRepStar` has all the definitions possible for+1) The module `Data.Singletons.TypeRepTYPE` has all the definitions possible for making `*` the promoted version of `TypeRep`, as `TypeRep` is currently implemented. The singleton associated with `TypeRep` has one constructor: ```haskell- newtype instance Sing :: Type -> Type where- STypeRep :: TypeRep a -> Sing a+ newtype instance Sing :: forall (rep :: RuntimeRep). TYPE rep -> Type where+ STypeRep :: forall (rep :: RuntimeRep) (a :: TYPE rep). TypeRep a -> Sing a ``` - Thus, a `TypeRep` is stored in the singleton constructor. However,-any datatypes that store `TypeRep`s will not generally work as expected; the-built-in promotion mechanism will not promote `TypeRep` to `*`.+ (Recall that `type * = TYPE LiftedRep`.) Thus, a `TypeRep` is stored in the+singleton constructor. However, any datatypes that store `TypeRep`s will not+generally work as expected; the built-in promotion mechanism will not promote+`TypeRep` to `*`. 2) The module `Data.Singletons.CustomStar` allows the programmer to define a subset of types with which to work. See the Haddock documentation for the function@@ -666,3 +738,27 @@ problem is that a use of an associated type family tied to a class with fundeps doesn't provoke the fundep to kick in. This is GHC's problem, in the end.+* Singled code that contains uses type families is likely to fail due to GHC+ Trac #12564. Note that singling type family declarations themselves is fine+ (and often desired, since that produces defunctionalization symbols for them).+* Singling instances of poly-kinded type classes is likely to fail due to+ [#358](https://github.com/goldfirere/singletons/issues/358).+ However, one can often work around the issue by using `InstanceSigs`. For+ instance, the following code will not single:++ ```haskell+ class C (f :: k -> Type) where+ method :: f a++ instance C [] where+ method = []+ ```++ Adding a type signature for `method` in the `C []` is sufficient+ to work around the issue, though:++ ```haskell+ instance C [] where+ method :: [a]+ method = []+ ```
Setup.hs view
@@ -1,2 +1,138 @@+{-# OPTIONS_GHC -Wall #-}+module Main (main) where++import Control.Monad++import Data.List+import Data.String++import Distribution.PackageDescription import Distribution.Simple-main = defaultMain+import Distribution.Simple.BuildPaths+import Distribution.Simple.LocalBuildInfo+import Distribution.Simple.PackageIndex+import Distribution.Simple.Program+import Distribution.Simple.Setup+import Distribution.Simple.Utils+import Distribution.Text++import System.Directory+import System.FilePath++main :: IO ()+main = defaultMainWithHooks simpleUserHooks+ { buildHook = \pkg lbi hooks flags -> do+ generateBuildModule flags pkg lbi+ buildHook simpleUserHooks pkg lbi hooks flags+ , confHook = \(gpd, hbi) flags ->+ confHook simpleUserHooks (amendGPD gpd, hbi) flags+ , haddockHook = \pkg lbi hooks flags -> do+ generateBuildModule (haddockToBuildFlags flags) pkg lbi+ haddockHook simpleUserHooks pkg lbi hooks flags+ }++-- | Convert only flags used by 'generateBuildModule'.+haddockToBuildFlags :: HaddockFlags -> BuildFlags+haddockToBuildFlags f = emptyBuildFlags+ { buildVerbosity = haddockVerbosity f+ , buildDistPref = haddockDistPref f+ }++generateBuildModule :: BuildFlags -> PackageDescription -> LocalBuildInfo -> IO ()+generateBuildModule flags pkg lbi = do+ rootDir <- getCurrentDirectory+ let verbosity = fromFlag (buildVerbosity flags)+ distPref = fromFlag (buildDistPref flags)+ distPref' | isRelative distPref = rootDir </> distPref+ | otherwise = distPref+ -- Package DBs+ dbStack = withPackageDB lbi ++ [ SpecificPackageDB $ distPref' </> "package.conf.inplace" ]+ dbFlags = "-hide-all-packages" : packageDbArgsDb dbStack++ ghc = case lookupProgram ghcProgram (withPrograms lbi) of+ Just fp -> locationPath $ programLocation fp+ Nothing -> error "Can't find GHC path"+ withTestLBI pkg lbi $ \suite suitecfg -> when (testName suite == fromString testSuiteName) $ do+ let testAutogenDir = autogenComponentModulesDir lbi suitecfg+ createDirectoryIfMissingVerbose verbosity True testAutogenDir+ let buildSingletonsFile = testAutogenDir </> buildSingletonsModule <.> "hs"+ withLibLBI pkg lbi $ \_ libCLBI -> do+ let libDeps = map fst $ componentPackageDeps libCLBI+ pidx = case dependencyClosure (installedPkgs lbi) libDeps of+ Left p -> p+ Right _ -> error "Broken dependency closure"+ libTransDeps = map installedUnitId $ allPackages pidx+ singletonsUnitId = componentUnitId libCLBI+ deps = formatDeps (singletonsUnitId:libTransDeps)+ allFlags = dbFlags ++ deps+ writeFile buildSingletonsFile $ unlines+ [ "module Build_singletons where"+ , ""+ , "ghcPath :: FilePath"+ , "ghcPath = " ++ show ghc+ , ""+ , "ghcFlags :: [String]"+ , "ghcFlags = " ++ show allFlags+ , ""+ , "rootDir :: FilePath"+ , "rootDir = " ++ show rootDir+ ]+ where+ formatDeps = map formatOne+ formatOne installedPkgId = "-package-id=" ++ display installedPkgId++ -- GHC >= 7.6 uses the '-package-db' flag. See+ -- https://ghc.haskell.org/trac/ghc/ticket/5977.+ packageDbArgsDb :: [PackageDB] -> [String]+ -- special cases to make arguments prettier in common scenarios+ packageDbArgsDb dbstack = case dbstack of+ (GlobalPackageDB:UserPackageDB:dbs)+ | all isSpecific dbs -> concatMap single dbs+ (GlobalPackageDB:dbs)+ | all isSpecific dbs -> "-no-user-package-db"+ : concatMap single dbs+ dbs -> "-clear-package-db"+ : concatMap single dbs+ where+ single (SpecificPackageDB db) = [ "-package-db=" ++ db ]+ single GlobalPackageDB = [ "-global-package-db" ]+ single UserPackageDB = [ "-user-package-db" ]+ isSpecific (SpecificPackageDB _) = True+ isSpecific _ = False++buildSingletonsModule :: FilePath+buildSingletonsModule = "Build_singletons"++testSuiteName :: String+testSuiteName = "singletons-test-suite"++amendGPD :: GenericPackageDescription -> GenericPackageDescription+amendGPD gpd = gpd+ { condTestSuites = map f (condTestSuites gpd)+ }+ where+ f (name, condTree)+ | name == fromString testSuiteName = (name, condTree')+ | otherwise = (name, condTree)+ where+ -- I miss 'lens'+ testSuite = condTreeData condTree+ bi = testBuildInfo testSuite+ om = otherModules bi+ am = autogenModules bi++ -- Cons the module to both other-modules and autogen-modules.+ -- At the moment, cabal-spec-2.0 and cabal-spec-2.2 don't have+ -- "all autogen-modules are other-modules if they aren't exposed-modules"+ -- rule. Hopefully cabal-spec-3.0 will have.+ --+ -- Note: we `nub`, because it's unclear if that's ok to have duplicate+ -- modules in the lists.+ om' = nub $ mn : om+ am' = nub $ mn : am++ mn = fromString buildSingletonsModule++ bi' = bi { otherModules = om', autogenModules = am' }+ testSuite' = testSuite { testBuildInfo = bi' }+ condTree' = condTree { condTreeData = testSuite' }
singletons.cabal view
@@ -1,28 +1,28 @@ name: singletons-version: 2.4.1+version: 2.5 -- Remember to bump version in the Makefile as well cabal-version: >= 1.10 synopsis: A framework for generating singleton types homepage: http://www.github.com/goldfirere/singletons category: Dependent Types author: Richard Eisenberg <rae@cs.brynmawr.edu>, Jan Stolarek <jan.stolarek@p.lodz.pl>-maintainer: Richard Eisenberg <rae@cs.brynmawr.edu>, Jan Stolarek <jan.stolarek@p.lodz.pl>+maintainer: Ryan Scott <ryan.gl.scott@gmail.com> bug-reports: https://github.com/goldfirere/singletons/issues stability: experimental-tested-with: GHC == 8.4.1+tested-with: GHC == 8.6.1 extra-source-files: README.md, CHANGES.md, tests/compile-and-dump/buildGoldenFiles.awk, tests/compile-and-dump/GradingClient/*.hs, tests/compile-and-dump/InsertionSort/*.hs, tests/compile-and-dump/Promote/*.hs, tests/compile-and-dump/Singletons/*.hs- tests/compile-and-dump/GradingClient/*.ghc84.template,- tests/compile-and-dump/InsertionSort/*.ghc84.template,- tests/compile-and-dump/Promote/*.ghc84.template,- tests/compile-and-dump/Singletons/*.ghc84.template+ tests/compile-and-dump/GradingClient/*.ghc86.template,+ tests/compile-and-dump/InsertionSort/*.ghc86.template,+ tests/compile-and-dump/Promote/*.ghc86.template,+ tests/compile-and-dump/Singletons/*.ghc86.template license: BSD3 license-file: LICENSE-build-type: Simple+build-type: Custom description: This library generates singleton types, promoted functions, and singleton functions using Template Haskell. It is useful for programmers who wish@@ -38,16 +38,29 @@ source-repository this type: git location: https://github.com/goldfirere/singletons.git- tag: v2.4.1+ tag: v2.5 +source-repository head+ type: git+ location: https://github.com/goldfirere/singletons.git+ branch: master++custom-setup+ setup-depends:+ base >= 4.12 && < 4.13,+ Cabal >= 2.3 && < 2.5,+ directory >= 1,+ filepath >= 1.3+ library hs-source-dirs: src- build-depends: base >= 4.11 && < 4.12,+ build-depends: base >= 4.12 && < 4.13, mtl >= 2.2.1, ghc-boot-th, template-haskell, containers >= 0.5,- th-desugar >= 1.8 && < 1.9,+ th-desugar >= 1.9 && < 1.10,+ pretty, syb >= 0.4, text >= 1.2, transformers >= 0.5.2@@ -58,41 +71,35 @@ exposed-modules: Data.Singletons Data.Singletons.CustomStar- Data.Singletons.TypeRepStar+ Data.Singletons.TypeRepTYPE Data.Singletons.TH Data.Singletons.Prelude+ Data.Singletons.Prelude.Applicative Data.Singletons.Prelude.Base Data.Singletons.Prelude.Bool+ Data.Singletons.Prelude.Const Data.Singletons.Prelude.Either Data.Singletons.Prelude.Enum Data.Singletons.Prelude.Eq+ Data.Singletons.Prelude.Foldable Data.Singletons.Prelude.Function+ Data.Singletons.Prelude.Functor Data.Singletons.Prelude.IsString+ Data.Singletons.Prelude.Identity Data.Singletons.Prelude.Ord Data.Singletons.Prelude.List Data.Singletons.Prelude.List.NonEmpty Data.Singletons.Prelude.Maybe+ Data.Singletons.Prelude.Monad+ Data.Singletons.Prelude.Monad.Zip+ Data.Singletons.Prelude.Monoid Data.Singletons.Prelude.Num+ Data.Singletons.Prelude.Semigroup Data.Singletons.Prelude.Show+ Data.Singletons.Prelude.Traversable Data.Singletons.Prelude.Tuple Data.Singletons.Prelude.Void- Data.Promotion.Prelude- Data.Promotion.TH- Data.Promotion.Prelude.Base- Data.Promotion.Prelude.Bool- Data.Promotion.Prelude.Either- Data.Promotion.Prelude.Eq- Data.Promotion.Prelude.Function- Data.Promotion.Prelude.IsString- Data.Promotion.Prelude.Ord- Data.Promotion.Prelude.Enum- Data.Promotion.Prelude.List- Data.Promotion.Prelude.List.NonEmpty- Data.Promotion.Prelude.Maybe- Data.Promotion.Prelude.Num- Data.Promotion.Prelude.Show- Data.Promotion.Prelude.Tuple- Data.Promotion.Prelude.Void+ Data.Singletons.TypeError Data.Singletons.TypeLits Data.Singletons.Decide Data.Singletons.ShowSing@@ -102,10 +109,17 @@ other-modules: Data.Singletons.Deriving.Infer Data.Singletons.Deriving.Bounded Data.Singletons.Deriving.Enum+ Data.Singletons.Deriving.Foldable+ Data.Singletons.Deriving.Functor Data.Singletons.Deriving.Ord Data.Singletons.Deriving.Show+ Data.Singletons.Deriving.Traversable+ Data.Singletons.Deriving.Util Data.Singletons.Internal- Data.Singletons.Prelude.List.NonEmpty.Internal+ Data.Singletons.Prelude.List.Internal+ Data.Singletons.Prelude.List.Internal.Disambiguation+ Data.Singletons.Prelude.Monad.Internal+ Data.Singletons.Prelude.Semigroup.Internal Data.Singletons.Promote Data.Singletons.Promote.Monad Data.Singletons.Promote.Eq@@ -119,6 +133,7 @@ Data.Singletons.Single.Type Data.Singletons.Single.Eq Data.Singletons.Single.Data+ Data.Singletons.Single.Defun Data.Singletons.Single.Fixity Data.Singletons.Single Data.Singletons.TypeLits.Internal@@ -128,16 +143,17 @@ test-suite singletons-test-suite type: exitcode-stdio-1.0- hs-source-dirs: src, tests+ hs-source-dirs: tests ghc-options: -Wall default-language: Haskell2010 main-is: SingletonsTestSuite.hs- other-modules: SingletonsTestSuiteUtils+ other-modules: ByHand+ ByHand2+ SingletonsTestSuiteUtils - build-depends: base >= 4.11 && < 4.12,+ build-depends: base >= 4.12 && < 4.13, filepath >= 1.3, process >= 1.1, singletons, tasty >= 0.6,- tasty-golden >= 2.2,- directory >= 1+ tasty-golden >= 2.2
− src/Data/Promotion/Prelude.hs
@@ -1,186 +0,0 @@--------------------------------------------------------------------------------- |--- Module : Data.Promotion.Prelude--- Copyright : (C) 2014 Jan Stolarek--- License : BSD-style (see LICENSE)--- Maintainer : Jan Stolarek (jan.stolarek@p.lodz.pl)--- Stability : experimental--- Portability : non-portable------ Mimics the Haskell Prelude, but with promoted types.----------------------------------------------------------------------------------{-# LANGUAGE ExplicitNamespaces #-}-module Data.Promotion.Prelude (- -- * Standard types, classes and related functions- -- ** Basic data types- If, Not, type (&&), type (||), Otherwise,-- maybe_, Maybe_, either_, Either_,-- Symbol,-- Fst, Snd, Curry, Uncurry,-- -- * Error reporting- Error, Undefined,-- -- * Promoted equality- module Data.Promotion.Prelude.Eq,-- -- * Promoted comparisons- module Data.Promotion.Prelude.Ord,-- -- * Promoted enumerations- -- | As a matter of convenience, the promoted Prelude does /not/ export- -- promoted @succ@ and @pred@, due to likely conflicts with- -- unary numbers. Please import 'Data.Promotion.Prelude.Enum' directly if- -- you want these.- module Data.Promotion.Prelude.Enum,-- -- * Promoted numbers- module Data.Promotion.Prelude.Num,- type (^),-- -- * Promoted 'Show'- PShow(..), ShowS, SChar, show_, type (<>), Shows, ShowChar, ShowString, ShowParen,-- -- ** Miscellaneous functions- Id, Const, (:.), type ($), type ($!), Flip, AsTypeOf, Until, Seq,-- -- * List operations- Map, type (++), Filter,- Head, Last, Tail, Init, Null, Length, type (!!),- Reverse,- -- ** Reducing lists (folds)- Foldl, Foldl1, Foldr, Foldr1,- -- *** Special folds- And, Or, Any, All,- Sum, Product,- Concat, ConcatMap,- Maximum, Minimum,- -- ** Building lists- -- *** Scans- Scanl, Scanl1, Scanr, Scanr1,- -- *** Infinite lists- Replicate,- -- ** Sublists- Take, Drop, SplitAt,- TakeWhile, DropWhile, Span, Break,-- -- ** Searching lists- Elem, NotElem, Lookup,- -- ** Zipping and unzipping lists- Zip, Zip3, ZipWith, ZipWith3, Unzip, Unzip3,- -- ** Functions on 'Symbol's- Unlines, Unwords,-- -- * Defunctionalization symbols- FalseSym0, TrueSym0,- NotSym0, NotSym1,- type (&&@#@$), type (&&@#@$$), type (&&@#@$$$),- type (||@#@$), type (||@#@$$), type (||@#@$$$),- OtherwiseSym0,-- NothingSym0, JustSym0, JustSym1,- Maybe_Sym0, Maybe_Sym1, Maybe_Sym2, Maybe_Sym3,-- LeftSym0, LeftSym1, RightSym0, RightSym1,- Either_Sym0, Either_Sym1, Either_Sym2, Either_Sym3,-- Tuple0Sym0,- Tuple2Sym0, Tuple2Sym1, Tuple2Sym2,- Tuple3Sym0, Tuple3Sym1, Tuple3Sym2, Tuple3Sym3,- Tuple4Sym0, Tuple4Sym1, Tuple4Sym2, Tuple4Sym3, Tuple4Sym4,- Tuple5Sym0, Tuple5Sym1, Tuple5Sym2, Tuple5Sym3, Tuple5Sym4, Tuple5Sym5,- Tuple6Sym0, Tuple6Sym1, Tuple6Sym2, Tuple6Sym3, Tuple6Sym4, Tuple6Sym5, Tuple6Sym6,- Tuple7Sym0, Tuple7Sym1, Tuple7Sym2, Tuple7Sym3, Tuple7Sym4, Tuple7Sym5, Tuple7Sym6, Tuple7Sym7,- FstSym0, FstSym1, SndSym0, SndSym1,- CurrySym0, CurrySym1, CurrySym2, CurrySym3,- UncurrySym0, UncurrySym1, UncurrySym2,-- ErrorSym0, ErrorSym1, UndefinedSym0,-- type (^@#@$), type (^@#@$$), type (^@#@$$$),-- ShowsPrecSym0, ShowsPrecSym1, ShowsPrecSym2, ShowsPrecSym3,- Show_Sym0, Show_Sym1,- ShowListSym0, ShowListSym1, ShowListSym2,- type (<>@#@$), type (<>@#@$$), type (<>@#@$$$),- ShowsSym0, ShowsSym1, ShowsSym2,- ShowCharSym0, ShowCharSym1, ShowCharSym2,- ShowStringSym0, ShowStringSym1, ShowStringSym2,- ShowParenSym0, ShowParenSym1, ShowParenSym2,-- IdSym0, IdSym1, ConstSym0, ConstSym1, ConstSym2,- type (.@#@$), type (.@#@$$), type (.@#@$$$),- type ($@#@$), type ($@#@$$), type ($@#@$$$),- type ($!@#@$), type ($!@#@$$), type ($!@#@$$$),- FlipSym0, FlipSym1, FlipSym2,- AsTypeOfSym0, AsTypeOfSym1, AsTypeOfSym2, SeqSym0, SeqSym1, SeqSym2,-- (:@#@$), (:@#@$$), (:@#@$$$), NilSym0,- MapSym0, MapSym1, MapSym2, ReverseSym0, ReverseSym1,- type (++@#@$$), type (++@#@$), HeadSym0, HeadSym1, LastSym0, LastSym1,- TailSym0, TailSym1, InitSym0, InitSym1, NullSym0, NullSym1,-- FoldlSym0, FoldlSym1, FoldlSym2, FoldlSym3,- Foldl1Sym0, Foldl1Sym1, Foldl1Sym2,- FoldrSym0, FoldrSym1, FoldrSym2, FoldrSym3,- Foldr1Sym0, Foldr1Sym1, Foldr1Sym2,-- ConcatSym0, ConcatSym1,- ConcatMapSym0, ConcatMapSym1, ConcatMapSym2,- MaximumBySym0, MaximumBySym1, MaximumBySym2,- MinimumBySym0, MinimumBySym1, MinimumBySym2,- AndSym0, AndSym1, OrSym0, OrSym1,- AnySym0, AnySym1, AnySym2,- AllSym0, AllSym1, AllSym2,-- ScanlSym0, ScanlSym1, ScanlSym2, ScanlSym3,- Scanl1Sym0, Scanl1Sym1, Scanl1Sym2,- ScanrSym0, ScanrSym1, ScanrSym2, ScanrSym3,- Scanr1Sym0, Scanr1Sym1, Scanr1Sym2,-- ElemSym0, ElemSym1, ElemSym2,- NotElemSym0, NotElemSym1, NotElemSym2,-- ZipSym0, ZipSym1, ZipSym2,- Zip3Sym0, Zip3Sym1, Zip3Sym2, Zip3Sym3,- ZipWithSym0, ZipWithSym1, ZipWithSym2, ZipWithSym3,- ZipWith3Sym0, ZipWith3Sym1, ZipWith3Sym2, ZipWith3Sym3,- UnzipSym0, UnzipSym1,-- UnlinesSym0, UnlinesSym1, UnwordsSym0, UnwordsSym1,-- UntilSym0, UntilSym1, UntilSym2, UntilSym3,- LengthSym0, LengthSym1,- SumSym0, SumSym1,- ProductSym0, ProductSym1,- ReplicateSym0, ReplicateSym1, ReplicateSym2,- TakeSym0, TakeSym1, TakeSym2,- DropSym0, DropSym1, DropSym2,- SplitAtSym0, SplitAtSym1, SplitAtSym2,- TakeWhileSym0, TakeWhileSym1, TakeWhileSym2,- DropWhileSym0, DropWhileSym1, DropWhileSym2,- SpanSym0, SpanSym1, SpanSym2,- BreakSym0, BreakSym1, BreakSym2,- LookupSym0, LookupSym1, LookupSym2,- FilterSym0, FilterSym1, FilterSym2,- type (!!@#@$), type (!!@#@$$), type (!!@#@$$$),- ) where--import Data.Promotion.Prelude.Base-import Data.Promotion.Prelude.Bool-import Data.Promotion.Prelude.Either-import Data.Promotion.Prelude.List-import Data.Promotion.Prelude.Maybe-import Data.Promotion.Prelude.Tuple-import Data.Promotion.Prelude.Eq-import Data.Promotion.Prelude.Ord-import Data.Promotion.Prelude.Enum- hiding (Succ, Pred, SuccSym0, SuccSym1, PredSym0, PredSym1)-import Data.Promotion.Prelude.Num-import Data.Promotion.Prelude.Show-import Data.Singletons.TypeLits
− src/Data/Promotion/Prelude/Base.hs
@@ -1,55 +0,0 @@-{-# LANGUAGE TemplateHaskell, KindSignatures, PolyKinds, TypeOperators,- DataKinds, ScopedTypeVariables, TypeFamilies, GADTs,- UndecidableInstances #-}---------------------------------------------------------------------------------- |--- Module : Data.Promotion.Prelude.Base--- Copyright : (C) 2014 Jan Stolarek--- License : BSD-style (see LICENSE)--- Maintainer : Jan Stolarek (jan.stolarek@p.lodz.pl)--- Stability : experimental--- Portability : non-portable------ Implements promoted functions from GHC.Base module.------ Because many of these definitions are produced by Template Haskell,--- it is not possible to create proper Haddock documentation. Please look--- up the corresponding operation in @Prelude@. Also, please excuse--- the apparent repeated variable names. This is due to an interaction--- between Template Haskell and Haddock.----------------------------------------------------------------------------------module Data.Promotion.Prelude.Base (- -- * Promoted functions from @GHC.Base@- Foldr, Map, type (++), Otherwise, Id, Const, (:.), type ($), type ($!),- Flip, Until, AsTypeOf, Seq,-- -- * Defunctionalization symbols- FoldrSym0, FoldrSym1, FoldrSym2, FoldrSym3,- MapSym0, MapSym1, MapSym2,- type (++@#@$), type (++@#@$$), type (++@#@$$$),- OtherwiseSym0,- IdSym0, IdSym1,- ConstSym0, ConstSym1, ConstSym2,- type (.@#@$), type (.@#@$$), type (.@#@$$$), type (.@#@$$$$),- type ($@#@$), type ($@#@$$), type ($@#@$$$),- type ($!@#@$), type ($!@#@$$), type ($!@#@$$$),- FlipSym0, FlipSym1, FlipSym2, FlipSym3,- UntilSym0, UntilSym1, UntilSym2, UntilSym3,- AsTypeOfSym0, AsTypeOfSym1, AsTypeOfSym2,- SeqSym0, SeqSym1, SeqSym2- ) where--import Data.Singletons.TH-import Data.Singletons.Prelude.Base--$(promoteOnly [d|- -- Does not singletoznize. See #30- until :: (a -> Bool) -> (a -> a) -> a -> a- until p f = go- where- go x | p x = x- | otherwise = go (f x)- |])
− src/Data/Promotion/Prelude/Bool.hs
@@ -1,44 +0,0 @@-{-# LANGUAGE ExplicitNamespaces #-}---------------------------------------------------------------------------------- |--- Module : Data.Promotion.Prelude.Bool--- Copyright : (C) 2014 Jan Stolarek--- License : BSD-style (see LICENSE)--- Maintainer : Jan Stolarek (jan.stolarek@p.lodz.pl)--- Stability : experimental--- Portability : non-portable------ Defines promoted functions and datatypes relating to 'Bool',--- including a promoted version of all the definitions in @Data.Bool@.------ Because many of these definitions are produced by Template Haskell,--- it is not possible to create proper Haddock documentation. Please look--- up the corresponding operation in @Data.Bool@. Also, please excuse--- the apparent repeated variable names. This is due to an interaction--- between Template Haskell and Haddock.----------------------------------------------------------------------------------module Data.Promotion.Prelude.Bool (- If,-- -- * Promoted functions from @Data.Bool@- Bool_, bool_,- -- | The preceding two definitions are derived from the function 'bool' in- -- @Data.Bool@. The extra underscore is to avoid name clashes with the type- -- 'Bool'.-- Not, type (&&), type (||), Otherwise,-- -- * Defunctionalization symbols- TrueSym0, FalseSym0,-- NotSym0, NotSym1,- type (&&@#@$), type (&&@#@$$), type (&&@#@$$$),- type (||@#@$), type (||@#@$$), type (||@#@$$$),- Bool_Sym0, Bool_Sym1, Bool_Sym2, Bool_Sym3,- OtherwiseSym0- ) where--import Data.Singletons.Prelude.Bool
− src/Data/Promotion/Prelude/Either.hs
@@ -1,38 +0,0 @@--------------------------------------------------------------------------------- |--- Module : Data.Promotion.Prelude.Either--- Copyright : (C) 2014 Jan Stolarek--- License : BSD-style (see LICENSE)--- Maintainer : jan.stolarek@p.lodz.pl--- Stability : experimental--- Portability : non-portable------ Defines promoted functions and datatypes relating to 'Either',--- including a promoted version of all the definitions in @Data.Either@.------ Because many of these definitions are produced by Template Haskell,--- it is not possible to create proper Haddock documentation. Please look--- up the corresponding operation in @Data.Either@. Also, please excuse--- the apparent repeated variable names. This is due to an interaction--- between Template Haskell and Haddock.----------------------------------------------------------------------------------module Data.Promotion.Prelude.Either (- -- * Promoted functions from @Data.Either@- either_, Either_,- -- | The preceding two definitions are derived from the function 'either' in- -- @Data.Either@. The extra underscore is to avoid name clashes with the type- -- 'Either'.-- Lefts, Rights, PartitionEithers, IsLeft, IsRight,-- -- * Defunctionalization symbols- LeftSym0, LeftSym1, RightSym0, RightSym1,-- Either_Sym0, Either_Sym1, Either_Sym2, Either_Sym3,- LeftsSym0, LeftsSym1, RightsSym0, RightsSym1,- IsLeftSym0, IsLeftSym1, IsRightSym0, IsRightSym1- ) where--import Data.Singletons.Prelude.Either
− src/Data/Promotion/Prelude/Enum.hs
@@ -1,32 +0,0 @@-{-# LANGUAGE TemplateHaskell, PolyKinds, DataKinds, TypeFamilies,- UndecidableInstances, GADTs #-}---------------------------------------------------------------------------------- |--- Module : Data.Promotion.Prelude.Enum--- Copyright : (C) 2014 Jan Stolarek, Richard Eisenberg--- License : BSD-style (see LICENSE)--- Maintainer : Jan Stolarek (jan.stolarek@p.lodz.pl)--- Stability : experimental--- Portability : non-portable------ Exports promoted versions of 'Enum' and 'Bounded'-----------------------------------------------------------------------------------module Data.Promotion.Prelude.Enum (- PBounded(..), PEnum(..),-- -- ** Defunctionalization symbols- MinBoundSym0,- MaxBoundSym0,- SuccSym0, SuccSym1,- PredSym0, PredSym1,- ToEnumSym0, ToEnumSym1,- FromEnumSym0, FromEnumSym1,- EnumFromToSym0, EnumFromToSym1, EnumFromToSym2,- EnumFromThenToSym0, EnumFromThenToSym1, EnumFromThenToSym2,- EnumFromThenToSym3- ) where--import Data.Singletons.Prelude.Enum
− src/Data/Promotion/Prelude/Eq.hs
@@ -1,21 +0,0 @@--------------------------------------------------------------------------------- |--- Module : Data.Promotion.Prelude.Eq--- Copyright : (C) 2014 Jan Stolarek--- License : BSD-style (see LICENSE)--- Maintainer : Jan Stolarek (jan.stolarek@p.lodz.pl)--- Stability : experimental--- Portability : non-portable------ Provided promoted definitions related to type-level equality.-----------------------------------------------------------------------------------{-# LANGUAGE ExplicitNamespaces #-}-module Data.Promotion.Prelude.Eq (- PEq(..),- type (==@#@$), type (==@#@$$), type (==@#@$$$),- type (/=@#@$), type (/=@#@$$), type (/=@#@$$$)- ) where--import Data.Singletons.Prelude.Eq
− src/Data/Promotion/Prelude/Function.hs
@@ -1,40 +0,0 @@-{-# LANGUAGE ExplicitNamespaces #-}---------------------------------------------------------------------------------- |--- Module : Data.Promotion.Prelude.Function--- Copyright : (C) 2016 Richard Eisenberg--- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)--- Stability : experimental--- Portability : non-portable------ Defines promoted functions from @Data.Function@.------ Because many of these definitions are produced by Template Haskell,--- it is not possible to create proper Haddock documentation. Please look--- up the corresponding operation in @Data.Function@. Also, please excuse--- the apparent repeated variable names. This is due to an interaction--- between Template Haskell and Haddock.----------------------------------------------------------------------------------{-# LANGUAGE ExplicitNamespaces #-}--module Data.Promotion.Prelude.Function (- -- * "Prelude" re-exports- Id, Const, (:.), Flip, type ($)- -- * Other combinators- , type (&), On-- -- * Defunctionalization symbols- , IdSym0, IdSym1- , ConstSym0, ConstSym1, ConstSym2- , type (.@#@$), type (.@#@$$), type (.@#@$$$), type (.@#@$$$$)- , FlipSym0, FlipSym1, FlipSym2, FlipSym3- , type ($@#@$), type ($@#@$$), type ($@#@$$$)- , type (&@#@$), type (&@#@$$), type (&@#@$$$)- , OnSym0, OnSym1, OnSym2, OnSym3, OnSym4- ) where--import Data.Singletons.Prelude.Function
− src/Data/Promotion/Prelude/IsString.hs
@@ -1,22 +0,0 @@--------------------------------------------------------------------------------- |--- Module : Data.Promotion.Prelude.IsString--- Copyright : (C) 2017 Ryan Scott--- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)--- Stability : experimental--- Portability : non-portable------ Defines and exports a promoted version of the 'IsString'--- type class from "Data.String".-------------------------------------------------------------------------------module Data.Promotion.Prelude.IsString (- PIsString(..),-- -- ** Defunctionalization symbols- FromStringSym0, FromStringSym1- ) where--import Data.Singletons.Prelude.IsString-import Data.Singletons.TypeLits () -- for the IsString instance!
− src/Data/Promotion/Prelude/List.hs
@@ -1,309 +0,0 @@-{-# LANGUAGE TypeOperators, DataKinds, PolyKinds, TypeFamilies,- TemplateHaskell, GADTs, UndecidableInstances, RankNTypes,- ScopedTypeVariables, MultiWayIf #-}---------------------------------------------------------------------------------- |--- Module : Data.Promotion.Prelude.List--- Copyright : (C) 2014 Jan Stolarek--- License : BSD-style (see LICENSE)--- Maintainer : Jan Stolarek (jan.stolarek@p.lodz.pl)--- Stability : experimental--- Portability : non-portable------ Defines promoted functions and datatypes relating to 'List',--- including a promoted version of all the definitions in @Data.List@.------ Because many of these definitions are produced by Template Haskell,--- it is not possible to create proper Haddock documentation. Please look--- up the corresponding operation in @Data.List@. Also, please excuse--- the apparent repeated variable names. This is due to an interaction--- between Template Haskell and Haddock.----------------------------------------------------------------------------------module Data.Promotion.Prelude.List (- -- * Basic functions- type (++), Head, Last, Tail, Init, Null, Length,-- -- * List transformations- Map, Reverse, Intersperse, Intercalate, Transpose, Subsequences, Permutations,-- -- * Reducing lists (folds)- Foldl, Foldl', Foldl1, Foldl1', Foldr, Foldr1,-- -- ** Special folds- Concat, ConcatMap, And, Or, Any, All, Sum, Product, Maximum, Minimum,-- -- * Building lists-- -- ** Scans- Scanl, Scanl1, Scanr, Scanr1,-- -- ** Accumulating maps- MapAccumL, MapAccumR,-- -- ** Infinite lists- Replicate,-- -- ** Unfolding- Unfoldr,-- -- * Sublists-- -- ** Extracting sublists- Take, Drop, SplitAt,- TakeWhile, DropWhile, DropWhileEnd, Span, Break,- StripPrefix,- Group,- Inits, Tails,-- -- ** Predicates- IsPrefixOf, IsSuffixOf, IsInfixOf,-- -- * Searching lists-- -- ** Searching by equality- Elem, NotElem, Lookup,-- -- ** Searching with a predicate- Find, Filter, Partition,-- -- * Indexing lists- type (!!), ElemIndex, ElemIndices, FindIndex, FindIndices,-- -- * Zipping and unzipping lists- Zip, Zip3, Zip4, Zip5, Zip6, Zip7,- ZipWith, ZipWith3, ZipWith4, ZipWith5, ZipWith6, ZipWith7,- Unzip, Unzip3, Unzip4, Unzip5, Unzip6, Unzip7,-- -- * Special lists-- -- ** Functions on 'Symbol's- Unlines, Unwords,-- -- ** \"Set\" operations- Nub, Delete, type (\\), Union, Intersect,-- -- ** Ordered lists- Sort, Insert,-- -- * Generalized functions-- -- ** The \"@By@\" operations- -- *** User-supplied equality (replacing an @Eq@ context)- NubBy, DeleteBy, DeleteFirstsBy, UnionBy, GroupBy, IntersectBy,-- -- *** User-supplied comparison (replacing an @Ord@ context)- SortBy, InsertBy,- MaximumBy, MinimumBy,-- -- ** The \"@generic@\" operations- GenericLength, GenericTake, GenericDrop,- GenericSplitAt, GenericIndex, GenericReplicate,-- -- * Defunctionalization symbols- NilSym0,- (:@#@$), (:@#@$$), (:@#@$$$),-- type (++@#@$$$), type (++@#@$$), type (++@#@$),- HeadSym0, HeadSym1, LastSym0, LastSym1,- TailSym0, TailSym1, InitSym0, InitSym1, NullSym0, NullSym1,-- MapSym0, MapSym1, MapSym2, ReverseSym0, ReverseSym1,- IntersperseSym0, IntersperseSym1, IntersperseSym2,- IntercalateSym0, IntercalateSym1, IntercalateSym2,- SubsequencesSym0, SubsequencesSym1,- PermutationsSym0, PermutationsSym1,-- FoldlSym0, FoldlSym1, FoldlSym2, FoldlSym3,- Foldl'Sym0, Foldl'Sym1, Foldl'Sym2, Foldl'Sym3,- Foldl1Sym0, Foldl1Sym1, Foldl1Sym2,- Foldl1'Sym0, Foldl1'Sym1, Foldl1'Sym2,- FoldrSym0, FoldrSym1, FoldrSym2, FoldrSym3,- Foldr1Sym0, Foldr1Sym1, Foldr1Sym2,-- ConcatSym0, ConcatSym1,- ConcatMapSym0, ConcatMapSym1, ConcatMapSym2,- AndSym0, AndSym1, OrSym0, OrSym1,- AnySym0, AnySym1, AnySym2,- AllSym0, AllSym1, AllSym2,-- ScanlSym0, ScanlSym1, ScanlSym2, ScanlSym3,- Scanl1Sym0, Scanl1Sym1, Scanl1Sym2,- ScanrSym0, ScanrSym1, ScanrSym2, ScanrSym3,- Scanr1Sym0, Scanr1Sym1, Scanr1Sym2,-- MapAccumLSym0, MapAccumLSym1, MapAccumLSym2, MapAccumLSym3,- MapAccumRSym0, MapAccumRSym1, MapAccumRSym2, MapAccumRSym3,-- UnfoldrSym0, UnfoldrSym1, UnfoldrSym2,-- InitsSym0, InitsSym1, TailsSym0, TailsSym1,-- IsPrefixOfSym0, IsPrefixOfSym1, IsPrefixOfSym2,- IsSuffixOfSym0, IsSuffixOfSym1, IsSuffixOfSym2,- IsInfixOfSym0, IsInfixOfSym1, IsInfixOfSym2,-- ElemSym0, ElemSym1, ElemSym2,- NotElemSym0, NotElemSym1, NotElemSym2,-- ZipSym0, ZipSym1, ZipSym2,- Zip3Sym0, Zip3Sym1, Zip3Sym2, Zip3Sym3,- ZipWithSym0, ZipWithSym1, ZipWithSym2, ZipWithSym3,- ZipWith3Sym0, ZipWith3Sym1, ZipWith3Sym2, ZipWith3Sym3, ZipWith3Sym4,- UnzipSym0, UnzipSym1,- Unzip3Sym0, Unzip3Sym1,- Unzip4Sym0, Unzip4Sym1,- Unzip5Sym0, Unzip5Sym1,- Unzip6Sym0, Unzip6Sym1,- Unzip7Sym0, Unzip7Sym1,-- DeleteSym0, DeleteSym1, DeleteSym2,- type (\\@#@$), type (\\@#@$$), type (\\@#@$$$),- IntersectSym0, IntersectSym1, IntersectSym2,-- InsertSym0, InsertSym1, InsertSym2,- SortSym0, SortSym1,-- DeleteBySym0, DeleteBySym1, DeleteBySym2, DeleteBySym3,- DeleteFirstsBySym0, DeleteFirstsBySym1, DeleteFirstsBySym2, DeleteFirstsBySym3,- IntersectBySym0, IntersectBySym1, IntersectBySym2,-- SortBySym0, SortBySym1, SortBySym2,- InsertBySym0, InsertBySym1, InsertBySym2, InsertBySym3,- MaximumBySym0, MaximumBySym1, MaximumBySym2,- MinimumBySym0, MinimumBySym1, MinimumBySym2,- LengthSym0, LengthSym1,- SumSym0, SumSym1, ProductSym0, ProductSym1,- ReplicateSym0, ReplicateSym1, ReplicateSym2,- TransposeSym0, TransposeSym1,- TakeSym0, TakeSym1, TakeSym2,- DropSym0, DropSym1, DropSym2,- SplitAtSym0, SplitAtSym1, SplitAtSym2,- TakeWhileSym0, TakeWhileSym1, TakeWhileSym2,- DropWhileSym0, DropWhileSym1, DropWhileSym2,- DropWhileEndSym0, DropWhileEndSym1, DropWhileEndSym2,- SpanSym0, SpanSym1, SpanSym2,- BreakSym0, BreakSym1, BreakSym2,- StripPrefixSym0, StripPrefixSym1, StripPrefixSym2,- MaximumSym0, MaximumSym1,- MinimumSym0, MinimumSym1,- GroupSym0, GroupSym1,- GroupBySym0, GroupBySym1, GroupBySym2,- LookupSym0, LookupSym1, LookupSym2,- FindSym0, FindSym1, FindSym2,- FilterSym0, FilterSym1, FilterSym2,- PartitionSym0, PartitionSym1, PartitionSym2,-- type (!!@#@$), type (!!@#@$$), type (!!@#@$$$),-- ElemIndexSym0, ElemIndexSym1, ElemIndexSym2,- ElemIndicesSym0, ElemIndicesSym1, ElemIndicesSym2,- FindIndexSym0, FindIndexSym1, FindIndexSym2,- FindIndicesSym0, FindIndicesSym1, FindIndicesSym2,-- Zip4Sym0, Zip4Sym1, Zip4Sym2, Zip4Sym3, Zip4Sym4,- Zip5Sym0, Zip5Sym1, Zip5Sym2, Zip5Sym3, Zip5Sym4, Zip5Sym5,- Zip6Sym0, Zip6Sym1, Zip6Sym2, Zip6Sym3, Zip6Sym4, Zip6Sym5, Zip6Sym6,- Zip7Sym0, Zip7Sym1, Zip7Sym2, Zip7Sym3, Zip7Sym4, Zip7Sym5, Zip7Sym6, Zip7Sym7,-- ZipWith4Sym0, ZipWith4Sym1, ZipWith4Sym2, ZipWith4Sym3, ZipWith4Sym4, ZipWith4Sym5,- ZipWith5Sym0, ZipWith5Sym1, ZipWith5Sym2, ZipWith5Sym3, ZipWith5Sym4, ZipWith5Sym5, ZipWith5Sym6,- ZipWith6Sym0, ZipWith6Sym1, ZipWith6Sym2, ZipWith6Sym3, ZipWith6Sym4, ZipWith6Sym5, ZipWith6Sym6, ZipWith6Sym7,- ZipWith7Sym0, ZipWith7Sym1, ZipWith7Sym2, ZipWith7Sym3, ZipWith7Sym4, ZipWith7Sym5, ZipWith7Sym6, ZipWith7Sym7, ZipWith7Sym8,-- UnlinesSym0, UnlinesSym1,- UnwordsSym0, UnwordsSym1,-- NubSym0, NubSym1,- NubBySym0, NubBySym1, NubBySym2,- UnionSym0, UnionSym1, UnionSym2,- UnionBySym0, UnionBySym1, UnionBySym2, UnionBySym3,-- GenericLengthSym0, GenericLengthSym1,- GenericTakeSym0, GenericTakeSym1, GenericTakeSym2,- GenericDropSym0, GenericDropSym1, GenericDropSym2,- GenericSplitAtSym0, GenericSplitAtSym1, GenericSplitAtSym2,- GenericIndexSym0, GenericIndexSym1, GenericIndexSym2,- GenericReplicateSym0, GenericReplicateSym1, GenericReplicateSym2,-- ) where--import Data.Singletons.Prelude.Base-import Data.Singletons.Prelude.Eq-import Data.Singletons.Prelude.List-import Data.Singletons.Prelude.Maybe-import Data.Singletons.TH--$(promoteOnly [d|-- -- Overlapping patterns don't singletonize- stripPrefix :: Eq a => [a] -> [a] -> Maybe [a]- stripPrefix [] ys = Just ys- stripPrefix (x:xs) (y:ys)- | x == y = stripPrefix xs ys- stripPrefix _ _ = Nothing-- -- To singletonize these we would need to rewrite all patterns- -- as non-overlapping. This means 2^7 equations for zipWith7.-- zip4 :: [a] -> [b] -> [c] -> [d] -> [(a,b,c,d)]- zip4 = zipWith4 (,,,)-- zip5 :: [a] -> [b] -> [c] -> [d] -> [e] -> [(a,b,c,d,e)]- zip5 = zipWith5 (,,,,)-- zip6 :: [a] -> [b] -> [c] -> [d] -> [e] -> [f] ->- [(a,b,c,d,e,f)]- zip6 = zipWith6 (,,,,,)-- zip7 :: [a] -> [b] -> [c] -> [d] -> [e] -> [f] ->- [g] -> [(a,b,c,d,e,f,g)]- zip7 = zipWith7 (,,,,,,)-- zipWith4 :: (a->b->c->d->e) -> [a]->[b]->[c]->[d]->[e]- zipWith4 z (a:as) (b:bs) (c:cs) (d:ds)- = z a b c d : zipWith4 z as bs cs ds- zipWith4 _ _ _ _ _ = []-- zipWith5 :: (a->b->c->d->e->f) ->- [a]->[b]->[c]->[d]->[e]->[f]- zipWith5 z (a:as) (b:bs) (c:cs) (d:ds) (e:es)- = z a b c d e : zipWith5 z as bs cs ds es- zipWith5 _ _ _ _ _ _ = []-- zipWith6 :: (a->b->c->d->e->f->g) ->- [a]->[b]->[c]->[d]->[e]->[f]->[g]- zipWith6 z (a:as) (b:bs) (c:cs) (d:ds) (e:es) (f:fs)- = z a b c d e f : zipWith6 z as bs cs ds es fs- zipWith6 _ _ _ _ _ _ _ = []-- zipWith7 :: (a->b->c->d->e->f->g->h) ->- [a]->[b]->[c]->[d]->[e]->[f]->[g]->[h]- zipWith7 z (a:as) (b:bs) (c:cs) (d:ds) (e:es) (f:fs) (g:gs)- = z a b c d e f g : zipWith7 z as bs cs ds es fs gs- zipWith7 _ _ _ _ _ _ _ _ = []---- These functions use Integral or Num typeclass instead of Int.------ genericLength, genericTake, genericDrop, genericSplitAt, genericIndex--- genericReplicate------ We provide aliases below to improve compatibility-- genericTake :: (Integral i) => i -> [a] -> [a]- genericTake = take-- genericDrop :: (Integral i) => i -> [a] -> [a]- genericDrop = drop-- genericSplitAt :: (Integral i) => i -> [a] -> ([a], [a])- genericSplitAt = splitAt-- genericIndex :: (Integral i) => [a] -> i -> a- genericIndex = (!!)-- genericReplicate :: (Integral i) => i -> a -> [a]- genericReplicate = replicate- |])
− src/Data/Promotion/Prelude/List/NonEmpty.hs
@@ -1,129 +0,0 @@-{-# LANGUAGE ExplicitNamespaces #-}---------------------------------------------------------------------------------- |--- Module : Data.Promotion.Prelude.List.NonEmpty--- Copyright : (C) 2016 Richard Eisenberg--- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)--- Stability : experimental--- Portability : non-portable------ Defines functions and datatypes relating to promoting 'NonEmpty',--- including promoted versions of many of the definitions in @Data.List.NonEmpty@.----------------------------------------------------------------------------------module Data.Promotion.Prelude.List.NonEmpty (-- -- * Non-empty stream transformations- Map,- Intersperse,- Scanl,- Scanr,- Scanl1,- Scanr1,- Transpose,- SortBy,- SortWith,- Length,- Head,- Tail,- Last,- Init,- type (<|),- Cons,- Uncons,- Unfoldr,- Sort,- Reverse,- Inits,- Tails,- Unfold,- Insert,- Take,- Drop,- SplitAt,- TakeWhile,- DropWhile,- Span,- Break,- Filter,- Partition,- Group,- GroupBy,- GroupWith,- GroupAllWith,- Group1,- GroupBy1,- GroupWith1,- GroupAllWith1,- IsPrefixOf,- Nub,- NubBy,- type (!!),- Zip,- ZipWith,- Unzip,- FromList,- ToList,- NonEmpty_,- Xor,-- -- * Defunctionalization symbols- (:|@#@$), (:|@#@$$), (:|@#@$$$),- MapSym0, MapSym1, MapSym2,- IntersperseSym0, IntersperseSym1, IntersperseSym2,- ScanlSym0, ScanlSym1, ScanlSym2, ScanlSym3,- ScanrSym0, ScanrSym1, ScanrSym2, ScanrSym3,- Scanl1Sym0, Scanl1Sym1, Scanl1Sym2,- Scanr1Sym0, Scanr1Sym1, Scanr1Sym2,- TransposeSym0, TransposeSym1,- SortBySym0, SortBySym1, SortBySym2,- SortWithSym0, SortWithSym1, SortWithSym2,- LengthSym0, LengthSym1,- HeadSym0, HeadSym1,- TailSym0, TailSym1,- LastSym0, LastSym1,- InitSym0, InitSym1,- type (<|@#@$), type (<|@#@$$), type (<|@#@$$$),- ConsSym0, ConsSym1, ConsSym2,- UnconsSym0, UnconsSym1,- UnfoldrSym0, UnfoldrSym1, UnfoldrSym2,- SortSym0, SortSym1,- ReverseSym0, ReverseSym1,- InitsSym0, InitsSym1,- TailsSym0, TailsSym1,- UnfoldSym0, UnfoldSym1,- InsertSym0, InsertSym1, InsertSym2,- TakeSym0, TakeSym1, TakeSym2,- DropSym0, DropSym1, DropSym2,- SplitAtSym0, SplitAtSym1, SplitAtSym2,- TakeWhileSym0, TakeWhileSym1, TakeWhileSym2,- DropWhileSym0, DropWhileSym1, DropWhileSym2,- SpanSym0, SpanSym1, SpanSym2,- BreakSym0, BreakSym1, BreakSym2,- FilterSym0, FilterSym1, FilterSym2,- PartitionSym0, PartitionSym1, PartitionSym2,- GroupSym0, GroupSym1,- GroupBySym0, GroupBySym1, GroupBySym2,- GroupWithSym0, GroupWithSym1, GroupWithSym2,- GroupAllWithSym0, GroupAllWithSym1, GroupAllWithSym2,- Group1Sym0, Group1Sym1,- GroupBy1Sym0, GroupBy1Sym1, GroupBy1Sym2,- GroupWith1Sym0, GroupWith1Sym1, GroupWith1Sym2,- GroupAllWith1Sym0, GroupAllWith1Sym1, GroupAllWith1Sym2,- IsPrefixOfSym0, IsPrefixOfSym1, IsPrefixOfSym2,- NubSym0, NubSym1,- NubBySym0, NubBySym1, NubBySym2,- type (!!@#@$), type (!!@#@$$), type (!!@#@$$$),- ZipSym0, ZipSym1, ZipSym2,- ZipWithSym0, ZipWithSym1, ZipWithSym2, ZipWithSym3,- UnzipSym0, UnzipSym1,- FromListSym0, FromListSym1,- ToListSym0, ToListSym1,- NonEmpty_Sym0, NonEmpty_Sym1,- XorSym0, XorSym1- ) where--import Data.Singletons.Prelude.List.NonEmpty
− src/Data/Promotion/Prelude/Maybe.hs
@@ -1,42 +0,0 @@--------------------------------------------------------------------------------- |--- Module : Data.Promotion.Prelude.Maybe--- Copyright : (C) 2014 Jan Stolarek--- License : BSD-style (see LICENSE)--- Maintainer : Jan Stolarek (jan.stolarek@p.lodz.pl)--- Stability : experimental--- Portability : non-portable------ Defines promoted functions and datatypes relating to 'Maybe',--- including a promoted version of all the definitions in @Data.Maybe@.------ Because many of these definitions are produced by Template Haskell,--- it is not possible to create proper Haddock documentation. Please look--- up the corresponding operation in @Data.Maybe@. Also, please excuse--- the apparent repeated variable names. This is due to an interaction--- between Template Haskell and Haddock.-----------------------------------------------------------------------------------module Data.Promotion.Prelude.Maybe (- -- * Promoted functions from @Data.Maybe@- maybe_, Maybe_,- -- | The preceding two definitions is derived from the function 'maybe' in- -- @Data.Maybe@. The extra underscore is to avoid name clashes with the type- -- 'Maybe'.-- IsJust, IsNothing, FromJust, FromMaybe, MaybeToList,- ListToMaybe, CatMaybes, MapMaybe,-- -- * Defunctionalization symbols- NothingSym0, JustSym0, JustSym1,-- Maybe_Sym0, Maybe_Sym1, Maybe_Sym2, Maybe_Sym3,- IsJustSym0, IsJustSym1, IsNothingSym0, IsNothingSym1,- FromJustSym0, FromJustSym1, FromMaybeSym0, FromMaybeSym1, FromMaybeSym2,- MaybeToListSym0, MaybeToListSym1, ListToMaybeSym0, ListToMaybeSym1,- CatMaybesSym0, CatMaybesSym1, MapMaybeSym0, MapMaybeSym1, MapMaybeSym2- ) where--import Data.Singletons.Prelude.Maybe
− src/Data/Promotion/Prelude/Num.hs
@@ -1,32 +0,0 @@-{-# LANGUAGE ExplicitNamespaces #-}---------------------------------------------------------------------------------- |--- Module : Data.Promotion.Prelude.Num--- Copyright : (C) 2014 Richard Eisenberg--- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)--- Stability : experimental--- Portability : non-portable------ Defines and exports promoted and singleton versions of definitions from--- GHC.Num.----------------------------------------------------------------------------------module Data.Promotion.Prelude.Num (- PNum(..), Subtract,-- -- ** Defunctionalization symbols- type (+@#@$), type (+@#@$$), type (+@#@$$$),- type (-@#@$), type (-@#@$$), type (-@#@$$$),- type (*@#@$), type (*@#@$$), type (*@#@$$$),- NegateSym0, NegateSym1,- AbsSym0, AbsSym1,- SignumSym0, SignumSym1,- FromIntegerSym0, FromIntegerSym1,- SubtractSym0, SubtractSym1, SubtractSym2- ) where--import Data.Singletons.Prelude.Num-import Data.Singletons.TypeLits () -- for the Num instance!
− src/Data/Promotion/Prelude/Ord.hs
@@ -1,35 +0,0 @@-{-# LANGUAGE ExplicitNamespaces #-}---------------------------------------------------------------------------------- |--- Module : Data.Promotion.Prelude.Ord--- Copyright : (C) 2014 Jan Stolarek--- License : BSD-style (see LICENSE)--- Maintainer : Jan Stolarek (jan.stolarek@p.lodz.pl)--- Stability : experimental--- Portability : non-portable------ Provides promoted definitions related to type-level comparisons.-----------------------------------------------------------------------------------module Data.Promotion.Prelude.Ord (- POrd(..),-- Comparing,- ThenCmp,-- -- ** Defunctionalization symbols- ThenCmpSym0, ThenCmpSym1, ThenCmpSym2,- LTSym0, EQSym0, GTSym0,- CompareSym0, CompareSym1, CompareSym2,- type (<@#@$), type (<@#@$$), type (<@#@$$$),- type (<=@#@$), type (<=@#@$$), type (<=@#@$$$),- type (>@#@$), type (>@#@$$), type (>@#@$$$),- type (>=@#@$), type (>=@#@$$), type (>=@#@$$$),- MaxSym0, MaxSym1, MaxSym2,- MinSym0, MinSym1, MinSym2,- ComparingSym0, ComparingSym1, ComparingSym2, ComparingSym3- ) where--import Data.Singletons.Prelude.Ord
− src/Data/Promotion/Prelude/Show.hs
@@ -1,36 +0,0 @@-{-# LANGUAGE ExplicitNamespaces #-}---------------------------------------------------------------------------------- |--- Module : Data.Promotion.Prelude.Show--- Copyright : (C) 2014 Jan Stolarek, Richard Eisenberg--- License : BSD-style (see LICENSE)--- Maintainer : Jan Stolarek (jan.stolarek@p.lodz.pl)--- Stability : experimental--- Portability : non-portable------ Exports a promoted version of 'Show'-----------------------------------------------------------------------------------module Data.Promotion.Prelude.Show (- PShow(..), SymbolS, SChar, show_, type (<>),- Shows, ShowListWith, ShowChar, ShowString, ShowParen,- ShowSpace, ShowCommaSpace, AppPrec, AppPrec1,-- -- * Defunctionalization symbols- ShowsPrecSym0, ShowsPrecSym1, ShowsPrecSym2, ShowsPrecSym3,- Show_Sym0, Show_Sym1,- ShowListSym0, ShowListSym1, ShowListSym2,- type (<>@#@$), type (<>@#@$$), type (<>@#@$$$),- ShowsSym0, ShowsSym1, ShowsSym2,- ShowListWithSym0, ShowListWithSym1, ShowListWithSym2, ShowListWithSym3,- ShowCharSym0, ShowCharSym1, ShowCharSym2,- ShowStringSym0, ShowStringSym1, ShowStringSym2,- ShowParenSym0, ShowParenSym1, ShowParenSym2,- ShowSpaceSym0, ShowSpaceSym1,- ShowCommaSpaceSym0, ShowCommaSpaceSym1,- AppPrecSym0, AppPrec1Sym0- ) where--import Data.Singletons.Prelude.Show
− src/Data/Promotion/Prelude/Tuple.hs
@@ -1,39 +0,0 @@--- |--- Module : Data.Promotion.Prelude.Tuple--- Copyright : (C) 2014 Jan Stolarek--- License : BSD-style (see LICENSE)--- Maintainer : Jan Stolarek (jan.stolarek@p.lodz.pl)--- Stability : experimental--- Portability : non-portable------ Defines promoted functions and datatypes relating to tuples,--- including a promoted version of all the definitions in @Data.Tuple@.------ Because many of these definitions are produced by Template Haskell,--- it is not possible to create proper Haddock documentation. Please look--- up the corresponding operation in @Data.Tuple@. Also, please excuse--- the apparent repeated variable names. This is due to an interaction--- between Template Haskell and Haddock.----------------------------------------------------------------------------------module Data.Promotion.Prelude.Tuple (- -- * Promoted functions from @Data.Tuple@- Fst, Snd, Curry, Uncurry, Swap,-- -- * Defunctionalization symbols- Tuple0Sym0,- Tuple2Sym0, Tuple2Sym1, Tuple2Sym2,- Tuple3Sym0, Tuple3Sym1, Tuple3Sym2, Tuple3Sym3,- Tuple4Sym0, Tuple4Sym1, Tuple4Sym2, Tuple4Sym3, Tuple4Sym4,- Tuple5Sym0, Tuple5Sym1, Tuple5Sym2, Tuple5Sym3, Tuple5Sym4, Tuple5Sym5,- Tuple6Sym0, Tuple6Sym1, Tuple6Sym2, Tuple6Sym3, Tuple6Sym4, Tuple6Sym5, Tuple6Sym6,- Tuple7Sym0, Tuple7Sym1, Tuple7Sym2, Tuple7Sym3, Tuple7Sym4, Tuple7Sym5, Tuple7Sym6, Tuple7Sym7,-- FstSym0, FstSym1, SndSym0, SndSym1,- CurrySym0, CurrySym1, CurrySym2, CurrySym3,- UncurrySym0, UncurrySym1, UncurrySym2,- SwapSym0, SwapSym1- ) where--import Data.Singletons.Prelude.Tuple
− src/Data/Promotion/Prelude/Void.hs
@@ -1,28 +0,0 @@--------------------------------------------------------------------------------- |--- Module : Data.Promotion.Prelude.Void--- Copyright : (C) 2014 Jan Stolarek--- License : BSD-style (see LICENSE)--- Maintainer : jan.stolarek@p.lodz.pl--- Stability : experimental--- Portability : non-portable------ Defines promoted functions and datatypes relating to 'Void',--- including a promoted version of all the definitions in @Data.Void@.------ Because many of these definitions are produced by Template Haskell,--- it is not possible to create proper Haddock documentation. Please look--- up the corresponding operation in @Data.Void@. Also, please excuse--- the apparent repeated variable names. This is due to an interaction--- between Template Haskell and Haddock.---------------------------------------------------------------------------------module Data.Promotion.Prelude.Void (- -- * Promoted functions from from @Data.Void@- Absurd,-- -- * Defunctionalization symbols- AbsurdSym0, AbsurdSym1- ) where--import Data.Singletons.Prelude.Void
− src/Data/Promotion/TH.hs
@@ -1,92 +0,0 @@-{-# LANGUAGE ExplicitNamespaces #-}---------------------------------------------------------------------------------- |--- Module : Data.Promotion.TH--- Copyright : (C) 2013 Richard Eisenberg--- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)--- Stability : experimental--- Portability : non-portable------ This module contains everything you need to promote your own functions via--- Template Haskell.----------------------------------------------------------------------------------module Data.Promotion.TH (- -- * Primary Template Haskell generation functions- promote, promoteOnly, genDefunSymbols, genPromotions,-- -- ** Functions to generate @Eq@ instances- promoteEqInstances, promoteEqInstance,-- -- ** Functions to generate @Ord@ instances- promoteOrdInstances, promoteOrdInstance,-- -- ** Functions to generate @Bounded@ instances- promoteBoundedInstances, promoteBoundedInstance,-- -- ** Functions to generate @Enum@ instances- promoteEnumInstances, promoteEnumInstance,-- -- ** Functions to generate @Show@ instances- promoteShowInstances, promoteShowInstance,-- -- ** defunctionalization- TyFun, Apply, type (@@),-- -- * Auxiliary definitions- -- | These definitions might be mentioned in code generated by Template Haskell,- -- so they must be in scope.-- PEq(..), If, type (&&),- POrd(..), ThenCmp, Foldl,- PBounded(..),- PEnum(FromEnum, ToEnum),- PShow(..),- ShowString, ShowParen, ShowSpace, ShowChar, ShowCommaSpace,- (:.),- Proxy(..),-- Error, ErrorSym0, ErrorSym1,- Undefined, UndefinedSym0,- TrueSym0, FalseSym0,- type (==@#@$), type (==@#@$$), type (==@#@$$$),- type (>@#@$), type (>@#@$$), type (>@#@$$$),- LTSym0, EQSym0, GTSym0,- Tuple0Sym0,- Tuple2Sym0, Tuple2Sym1, Tuple2Sym2,- Tuple3Sym0, Tuple3Sym1, Tuple3Sym2, Tuple3Sym3,- Tuple4Sym0, Tuple4Sym1, Tuple4Sym2, Tuple4Sym3, Tuple4Sym4,- Tuple5Sym0, Tuple5Sym1, Tuple5Sym2, Tuple5Sym3, Tuple5Sym4, Tuple5Sym5,- Tuple6Sym0, Tuple6Sym1, Tuple6Sym2, Tuple6Sym3, Tuple6Sym4, Tuple6Sym5, Tuple6Sym6,- Tuple7Sym0, Tuple7Sym1, Tuple7Sym2, Tuple7Sym3, Tuple7Sym4, Tuple7Sym5, Tuple7Sym6, Tuple7Sym7,- CompareSym0, CompareSym1, CompareSym2,- ThenCmpSym0, ThenCmpSym1, ThenCmpSym2,- FoldlSym0, FoldlSym1, FoldlSym2, FoldlSym3,- MinBoundSym0, MaxBoundSym0,- ShowsPrecSym0, ShowsPrecSym1, ShowsPrecSym2, ShowsPrecSym3,- ShowStringSym0, ShowStringSym1, ShowStringSym2,- ShowParenSym0, ShowParenSym1, ShowParenSym2,- ShowSpaceSym0, ShowSpaceSym1,- ShowCharSym0, ShowCharSym1, ShowCharSym2,- ShowCommaSpaceSym0, ShowCommaSpaceSym1,- type (.@#@$), type (.@#@$$), type (.@#@$$$), type (.@#@$$$$),- (:@#@$), (:@#@$$), (:@#@$$$),-- SuppressUnusedWarnings(..)-- ) where--import Data.Singletons.Internal-import Data.Singletons.Promote-import Data.Singletons.Prelude.Base-import Data.Singletons.Prelude.Instances-import Data.Singletons.Prelude.Bool-import Data.Singletons.Prelude.Enum-import Data.Singletons.Prelude.Eq-import Data.Singletons.Prelude.Ord-import Data.Singletons.Prelude.Show-import Data.Singletons.TypeLits-import Data.Singletons.SuppressUnusedWarnings
src/Data/Singletons.hs view
@@ -1,12 +1,16 @@ {-# LANGUAGE ConstraintKinds #-}-{-# LANGUAGE ExistentialQuantification #-}+{-# LANGUAGE DataKinds #-} {-# LANGUAGE ExplicitNamespaces #-}+{-# LANGUAGE GADTs #-} {-# LANGUAGE MagicHash #-} {-# LANGUAGE PatternSynonyms #-}+{-# LANGUAGE PolyKinds #-}+{-# LANGUAGE QuantifiedConstraints #-}+{-# LANGUAGE StandaloneDeriving #-} {-# LANGUAGE TemplateHaskell #-} {-# LANGUAGE TypeFamilies #-} {-# LANGUAGE TypeOperators #-}-{-# LANGUAGE TypeInType #-}+{-# LANGUAGE UndecidableInstances #-} {-# OPTIONS_GHC -Wno-orphans #-} -----------------------------------------------------------------------------@@ -14,7 +18,7 @@ -- Module : Data.Singletons -- Copyright : (C) 2013 Richard Eisenberg -- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)+-- Maintainer : Ryan Scott -- Stability : experimental -- Portability : non-portable --@@ -79,12 +83,14 @@ type (@@@#@$), type (@@@#@$$), type (@@@#@$$$) ) where -import Data.Singletons.Promote import Data.Singletons.Internal import Data.Singletons.Prelude.Enum import Data.Singletons.Prelude.Eq-import Data.Singletons.Prelude.Ord+import Data.Singletons.Prelude.Monoid import Data.Singletons.Prelude.Num+import Data.Singletons.Prelude.Ord+import Data.Singletons.Prelude.Semigroup+import Data.Singletons.Promote import Data.Singletons.ShowSing ----------------------------------------------------------------------@@ -125,9 +131,13 @@ signum (SomeSing a) = SomeSing (sSignum a) fromInteger n = withSomeSing (fromIntegral n) (SomeSing . sFromInteger) -instance ShowSing k => Show (SomeSing k) where- showsPrec p (SomeSing s) =- showParen (p > 10) $ showString "SomeSing " . showsSingPrec 11 s+deriving instance ShowSing k => Show (SomeSing k)++instance SSemigroup k => Semigroup (SomeSing k) where+ SomeSing a <> SomeSing b = SomeSing (a %<> b)++instance SMonoid k => Monoid (SomeSing k) where+ mempty = SomeSing sMempty ---------------------------------------------------------------------- ---- Defunctionalization symbols -------------------------------------
src/Data/Singletons/CustomStar.hs view
@@ -5,7 +5,7 @@ -- Module : Data.Singletons.CustomStar -- Copyright : (C) 2013 Richard Eisenberg -- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)+-- Maintainer : Ryan Scott -- Stability : experimental -- Portability : non-portable --@@ -75,42 +75,47 @@ singletonStar names = do kinds <- mapM getKind names ctors <- zipWithM (mkCtor True) names kinds- let repDecl = DDataD Data [] repName [] ctors+ let repDecl = DDataD Data [] repName [] (Just (DConT typeKindName)) ctors [DDerivClause Nothing (map DConPr [''Eq, ''Ord, ''Read, ''Show])] fakeCtors <- zipWithM (mkCtor False) names kinds- let dataDecl = DataDecl Data repName [] fakeCtors- [DConPr ''Show, DConPr ''Read]- -- We opt to infer the constraints for the Eq instance here so that when it's- -- promoted, Rep will be promoted to Type.- dataDeclEqCxt <- inferConstraints (DConPr ''Eq) (DConT repName) fakeCtors- let dataDeclEqInst = DerivedDecl (Just dataDeclEqCxt) (DConT repName) fakeCtors- ordInst <- mkOrdInstance Nothing (DConT repName) fakeCtors- showInst <- mkShowInstance ForPromotion Nothing (DConT repName) fakeCtors- (pInsts, promDecls) <- promoteM [] $ do promoteDataDec dataDecl- promoteDerivedEqDec dataDeclEqInst- traverse (promoteInstanceDec mempty)- [ordInst, showInst]- singletonDecls <- singDecsM [] $ do decs1 <- singDataD dataDecl- decs2 <- singDerivedEqDecs dataDeclEqInst- decs3 <- traverse singInstD pInsts- return (decs1 ++ decs2 ++ decs3)- return $ decsToTH $ repDecl :- promDecls ++- singletonDecls+ let dataDecl = DataDecl repName [] fakeCtors+ -- Why do we need withLocalDeclarations here? It's because we end up+ -- expanding type synonyms when deriving instances for Rep, which requires+ -- reifying Rep itself. Since Rep hasn't been spliced in yet, we must put it+ -- into the local declarations.+ withLocalDeclarations (decToTH repDecl) $ do+ -- We opt to infer the constraints for the Eq instance here so that when it's+ -- promoted, Rep will be promoted to Type.+ dataDeclEqCxt <- inferConstraints (DConPr ''Eq) (DConT repName) fakeCtors+ let dataDeclEqInst = DerivedDecl (Just dataDeclEqCxt) (DConT repName) dataDecl+ ordInst <- mkOrdInstance Nothing (DConT repName) dataDecl+ showInst <- mkShowInstance Nothing (DConT repName) dataDecl+ (pInsts, promDecls) <- promoteM [] $ do promoteDataDec dataDecl+ promoteDerivedEqDec dataDeclEqInst+ traverse (promoteInstanceDec mempty)+ [ordInst, showInst]+ singletonDecls <- singDecsM [] $ do decs1 <- singDataD dataDecl+ decs2 <- singDerivedEqDecs dataDeclEqInst+ decs3 <- traverse singInstD pInsts+ return (decs1 ++ decs2 ++ decs3)+ return $ decsToTH $ repDecl :+ promDecls +++ singletonDecls where -- get the kinds of the arguments to the tycon with the given name getKind :: DsMonad q => Name -> q [DKind] getKind name = do- info <- reifyWithWarning name+ info <- reifyWithLocals name dinfo <- dsInfo info case dinfo of- DTyConI (DDataD _ (_:_) _ _ _ _) _ ->- fail "Cannot make a representation of a constrainted data type"- DTyConI (DDataD _ [] _ tvbs _ _) _ ->- return $ map (fromMaybe DStarT . extractTvbKind) tvbs+ DTyConI (DDataD _ (_:_) _ _ _ _ _) _ ->+ fail "Cannot make a representation of a constrained data type"+ DTyConI (DDataD _ [] _ tvbs mk _ _) _ -> do+ all_tvbs <- buildDataDTvbs tvbs mk+ return $ map (fromMaybe (DConT typeKindName) . extractTvbKind) all_tvbs DTyConI (DTySynD _ tvbs _) _ ->- return $ map (fromMaybe DStarT . extractTvbKind) tvbs+ return $ map (fromMaybe (DConT typeKindName) . extractTvbKind) tvbs DPrimTyConI _ n _ ->- return $ replicate n DStarT+ return $ replicate n $ DConT typeKindName _ -> fail $ "Invalid thing for representation: " ++ (show name) -- first parameter is whether this is a real ctor (with a fresh name)@@ -121,7 +126,7 @@ dataName <- if real then mkDataName (nameBase name) else return name return $ DCon (map DPlainTV vars) [] dataName (DNormalC False (map (\ty -> (noBang, ty)) types))- Nothing+ (DConT repName) where noBang = Bang NoSourceUnpackedness NoSourceStrictness @@ -138,8 +143,9 @@ kindToType args (DVarT n) = do addElement n return $ DVarT n `foldType` args- kindToType args (DConT n) = return $ DConT n `foldType` args+ kindToType args (DConT n) = return $ DConT name `foldType` args+ where name | isTypeKindName n = repName+ | otherwise = n kindToType args DArrowT = return $ DArrowT `foldType` args kindToType args k@(DLitT {}) = return $ k `foldType` args kindToType args DWildCardT = return $ DWildCardT `foldType` args- kindToType args DStarT = return $ DConT repName `foldType` args
src/Data/Singletons/Decide.hs view
@@ -1,4 +1,4 @@-{-# LANGUAGE RankNTypes, PolyKinds, DataKinds, TypeOperators, TypeInType,+{-# LANGUAGE RankNTypes, PolyKinds, DataKinds, TypeOperators, TypeFamilies, FlexibleContexts, UndecidableInstances, GADTs #-} {-# OPTIONS_GHC -Wno-orphans #-} @@ -7,7 +7,7 @@ -- Module : Data.Singletons.Decide -- Copyright : (C) 2013 Richard Eisenberg -- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)+-- Maintainer : Ryan Scott -- Stability : experimental -- Portability : non-portable --@@ -23,7 +23,7 @@ (:~:)(..), Void, Refuted, Decision(..) ) where -import Data.Kind+import Data.Kind (Type) import Data.Singletons.Internal import Data.Type.Coercion import Data.Type.Equality
src/Data/Singletons/Deriving/Bounded.hs view
@@ -3,7 +3,7 @@ -- Module : Data.Singletons.Deriving.Bounded -- Copyright : (C) 2015 Richard Eisenberg -- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu+-- Maintainer : Ryan Scott -- Stability : experimental -- Portability : non-portable --@@ -19,12 +19,13 @@ import Data.Singletons.Util import Data.Singletons.Syntax import Data.Singletons.Deriving.Infer+import Data.Singletons.Deriving.Util import Control.Monad -- monadic only for failure and parallelism with other functions -- that make instances-mkBoundedInstance :: DsMonad q => Maybe DCxt -> DType -> [DCon] -> q UInstDecl-mkBoundedInstance mb_ctxt ty cons = do+mkBoundedInstance :: DsMonad q => DerivDesc q+mkBoundedInstance mb_ctxt ty (DataDecl _ _ cons) = do -- We can derive instance of Bounded if datatype is an enumeration (all -- constructors must be nullary) or has only one constructor. See Section 11 -- of Haskell 2010 Language Report.@@ -53,5 +54,6 @@ return $ InstDecl { id_cxt = constraints , id_name = boundedName , id_arg_tys = [ty]+ , id_sigs = mempty , id_meths = [ (minBoundName, mk_rhs minRHS) , (maxBoundName, mk_rhs maxRHS) ] }
src/Data/Singletons/Deriving/Enum.hs view
@@ -3,7 +3,7 @@ -- Module : Data.Singletons.Deriving.Enum -- Copyright : (C) 2015 Richard Eisenberg -- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)+-- Maintainer : Ryan Scott -- Stability : experimental -- Portability : non-portable --@@ -16,6 +16,7 @@ import Language.Haskell.TH.Syntax import Language.Haskell.TH.Ppr import Language.Haskell.TH.Desugar+import Data.Singletons.Deriving.Util import Data.Singletons.Syntax import Data.Singletons.Util import Data.Singletons.Names@@ -23,13 +24,13 @@ import Data.Maybe -- monadic for failure only-mkEnumInstance :: Quasi q => Maybe DCxt -> DType -> [DCon] -> q UInstDecl-mkEnumInstance mb_ctxt ty cons = do+mkEnumInstance :: DsMonad q => DerivDesc q+mkEnumInstance mb_ctxt ty (DataDecl data_name tvbs cons) = do+ let data_ty = foldTypeTvbs (DConT data_name) tvbs+ non_vanilla <- isNonVanillaDataType data_ty cons when (null cons ||- any (\(DCon tvbs cxt _ f rty) -> or [ not $ null $ tysOfConFields f- , not $ null tvbs- , not $ null cxt- , isJust rty ]) cons) $+ any (\(DCon _ _ _ f _) ->+ non_vanilla || not (null $ tysOfConFields f)) cons) $ fail ("Can't derive Enum instance for " ++ pprint (typeToTH ty) ++ ".") n <- qNewName "n" let to_enum = UFunction [DClause [DVarPa n] (to_enum_rhs cons [0..])]@@ -49,5 +50,6 @@ -- to use Nat instead of Int , id_arg_tys = [ty]+ , id_sigs = mempty , id_meths = [ (singletonsToEnumName, to_enum) , (singletonsFromEnumName, from_enum) ] })
+ src/Data/Singletons/Deriving/Foldable.hs view
@@ -0,0 +1,99 @@+{-# LANGUAGE ScopedTypeVariables #-}++-----------------------------------------------------------------------------+-- |+-- Module : Data.Singletons.Deriving.Foldable+-- Copyright : (C) 2018 Ryan Scott+-- License : BSD-style (see LICENSE)+-- Maintainer : Ryan Scott+-- Stability : experimental+-- Portability : non-portable+--+-- Implements deriving of Foldable instances+--+----------------------------------------------------------------------------++module Data.Singletons.Deriving.Foldable where++import Data.Singletons.Deriving.Infer+import Data.Singletons.Deriving.Util+import Data.Singletons.Names+import Data.Singletons.Syntax+import Language.Haskell.TH.Desugar++mkFoldableInstance :: forall q. DsMonad q => DerivDesc q+mkFoldableInstance mb_ctxt ty dd@(DataDecl _ _ cons) = do+ functorLikeValidityChecks False dd+ f <- newUniqueName "_f"+ z <- newUniqueName "_z"+ let ft_foldMap :: FFoldType (q DExp)+ ft_foldMap = FT { ft_triv = mkSimpleLam $ \_ -> pure $ DVarE memptyName+ -- foldMap f = \x -> mempty+ , ft_var = pure $ DVarE f+ -- foldMap f = f+ , ft_ty_app = \_ g -> DAppE (DVarE foldMapName) <$> g+ -- foldMap f = foldMap g+ , ft_forall = \_ g -> g+ , ft_bad_app = error "in other argument in ft_foldMap"+ }++ ft_foldr :: FFoldType (q DExp)+ ft_foldr = FT { ft_triv = mkSimpleLam2 $ \_ z' -> pure z'+ -- foldr f = \x z -> z+ , ft_var = pure $ DVarE f+ -- foldr f = f+ , ft_ty_app = \_ g -> do+ gg <- g+ mkSimpleLam2 $ \x z' -> pure $+ DVarE foldrName `DAppE` gg `DAppE` z' `DAppE` x+ -- foldr f = (\x z -> foldr g z x)+ , ft_forall = \_ g -> g+ , ft_bad_app = error "in other argument in ft_foldr"+ }++ clause_for_foldMap :: [DPat] -> DCon -> [DExp] -> q DClause+ clause_for_foldMap = mkSimpleConClause $ \_ -> mkFoldMap+ where+ -- mappend v1 (mappend v2 ..)+ mkFoldMap :: [DExp] -> DExp+ mkFoldMap [] = DVarE memptyName+ mkFoldMap xs = foldr1 (\x y -> DVarE mappendName `DAppE` x `DAppE` y) xs++ clause_for_foldr :: [DPat] -> DCon -> [DExp] -> q DClause+ clause_for_foldr = mkSimpleConClause $ \_ -> mkFoldr+ where+ -- g1 v1 (g2 v2 (.. z))+ mkFoldr :: [DExp] -> DExp+ mkFoldr = foldr DAppE (DVarE z)++ mk_foldMap_clause :: DCon -> q DClause+ mk_foldMap_clause con = do+ parts <- foldDataConArgs ft_foldMap con+ clause_for_foldMap [DVarPa f] con =<< sequence parts++ mk_foldr_clause :: DCon -> q DClause+ mk_foldr_clause con = do+ parts <- foldDataConArgs ft_foldr con+ clause_for_foldr [DVarPa f, DVarPa z] con =<< sequence parts++ mk_foldMap :: q [DClause]+ mk_foldMap =+ case cons of+ [] -> pure [DClause [DWildPa, DWildPa] (DVarE memptyName)]+ _ -> traverse mk_foldMap_clause cons++ mk_foldr :: q [DClause]+ mk_foldr = traverse mk_foldr_clause cons++ foldMap_clauses <- mk_foldMap+ foldr_clauses <- mk_foldr+ let meths = (foldMapName, UFunction foldMap_clauses)+ : case cons of+ [] -> []+ _ -> [(foldrName, UFunction foldr_clauses)]+ constraints <- inferConstraintsDef mb_ctxt (DConPr foldableName) ty cons+ return $ InstDecl { id_cxt = constraints+ , id_name = foldableName+ , id_arg_tys = [ty]+ , id_sigs = mempty+ , id_meths = meths }
+ src/Data/Singletons/Deriving/Functor.hs view
@@ -0,0 +1,95 @@+{-# LANGUAGE ScopedTypeVariables #-}++-----------------------------------------------------------------------------+-- |+-- Module : Data.Singletons.Deriving.Functor+-- Copyright : (C) 2018 Ryan Scott+-- License : BSD-style (see LICENSE)+-- Maintainer : Ryan Scott+-- Stability : experimental+-- Portability : non-portable+--+-- Implements deriving of Functor instances+--+----------------------------------------------------------------------------++module Data.Singletons.Deriving.Functor where++import Data.Singletons.Deriving.Infer+import Data.Singletons.Deriving.Util+import Data.Singletons.Names+import Data.Singletons.Syntax+import Data.Singletons.Util+import Language.Haskell.TH.Desugar++mkFunctorInstance :: forall q. DsMonad q => DerivDesc q+mkFunctorInstance mb_ctxt ty dd@(DataDecl _ _ cons) = do+ functorLikeValidityChecks False dd+ f <- newUniqueName "_f"+ z <- newUniqueName "_z"+ let ft_fmap :: FFoldType (q DExp)+ ft_fmap = FT { ft_triv = mkSimpleLam pure+ -- fmap f = \x -> x+ , ft_var = pure $ DVarE f+ -- fmap f = f+ , ft_ty_app = \_ g -> DAppE (DVarE fmapName) <$> g+ -- fmap f = fmap g+ , ft_forall = \_ g -> g+ , ft_bad_app = error "in other argument in ft_fmap"+ }++ ft_replace :: FFoldType (q Replacer)+ ft_replace = FT { ft_triv = fmap Nested $ mkSimpleLam pure+ -- (p <$) = \x -> x+ , ft_var = fmap Immediate $ mkSimpleLam $ \_ -> pure $ DVarE z+ -- (p <$) = const p+ , ft_ty_app = \_ gm -> do+ g <- gm+ case g of+ Nested g' -> pure . Nested $ DVarE fmapName `DAppE` g'+ Immediate _ -> pure . Nested $ DVarE replaceName `DAppE` DVarE z+ -- (p <$) = fmap (p <$)+ , ft_forall = \_ g -> g+ , ft_bad_app = error "in other argument in ft_replace"+ }++ -- Con a1 a2 ... -> Con (f1 a1) (f2 a2) ...+ clause_for_con :: [DPat] -> DCon -> [DExp] -> q DClause+ clause_for_con = mkSimpleConClause $ \con_name ->+ foldExp (DConE con_name) -- Con x1 x2 ...++ mk_fmap_clause :: DCon -> q DClause+ mk_fmap_clause con = do+ parts <- foldDataConArgs ft_fmap con+ clause_for_con [DVarPa f] con =<< sequence parts++ mk_replace_clause :: DCon -> q DClause+ mk_replace_clause con = do+ parts <- foldDataConArgs ft_replace con+ clause_for_con [DVarPa z] con =<< traverse (fmap replace) parts++ mk_fmap :: q [DClause]+ mk_fmap = case cons of+ [] -> do v <- newUniqueName "v"+ pure [DClause [DWildPa, DVarPa v] (DCaseE (DVarE v) [])]+ _ -> traverse mk_fmap_clause cons++ mk_replace :: q [DClause]+ mk_replace = case cons of+ [] -> do v <- newUniqueName "v"+ pure [DClause [DWildPa, DVarPa v] (DCaseE (DVarE v) [])]+ _ -> traverse mk_replace_clause cons++ fmap_clauses <- mk_fmap+ replace_clauses <- mk_replace+ constraints <- inferConstraintsDef mb_ctxt (DConPr functorName) ty cons+ return $ InstDecl { id_cxt = constraints+ , id_name = functorName+ , id_arg_tys = [ty]+ , id_sigs = mempty+ , id_meths = [ (fmapName, UFunction fmap_clauses)+ , (replaceName, UFunction replace_clauses)+ ] }++data Replacer = Immediate { replace :: DExp }+ | Nested { replace :: DExp }
src/Data/Singletons/Deriving/Infer.hs view
@@ -5,7 +5,7 @@ -- Module : Data.Singletons.Deriving.Infer -- Copyright : (C) 2015 Richard Eisenberg -- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu+-- Maintainer : Ryan Scott -- Stability : experimental -- Portability : non-portable --@@ -16,8 +16,11 @@ module Data.Singletons.Deriving.Infer ( inferConstraints, inferConstraintsDef ) where import Language.Haskell.TH.Desugar+import Language.Haskell.TH.Syntax+import Data.Singletons.Deriving.Util import Data.Singletons.Util import Data.List+import Data.List.NonEmpty (NonEmpty(..)) import Data.Generics.Twins -- @inferConstraints cls inst_ty cons@ infers the instance context for a@@ -91,21 +94,66 @@ -- After this renaming, the algorithm will produce an instance context of -- @Show a@ (since @b@ was renamed to @a@), as expected. infer_ct :: DCon -> q DCxt- infer_ct (DCon _ _ _ fields mb_res_ty) = do+ infer_ct (DCon _ _ _ fields res_ty) = do let field_tys = tysOfConFields fields- field_tys' <- case mb_res_ty of- Nothing -> pure field_tys- Just res_ty -> do- res_ty' <- expandType res_ty- inst_ty' <- expandType inst_ty- case matchTy YesIgnore res_ty' inst_ty of- Nothing -> fail $ showString "Unable to match type "- . showsPrec 11 res_ty'- . showString " with "- . showsPrec 11 inst_ty'- $ ""- Just subst -> traverse (substTy subst) field_tys- pure $ map (pr `DAppPr`) field_tys'+ -- We need to match the constructor's result type with the type given+ -- in the generated instance. But if we have:+ --+ -- data Foo a where+ -- MkFoo :: a -> Foo a+ -- deriving Functor+ --+ -- Then the generated instance will be:+ --+ -- instance Functor Foo where ...+ --+ -- Which means that if we're not careful, we might try to match the+ -- types (Foo a) and (Foo), which will fail.+ --+ -- To avoid this, we employ a grimy hack where we pad the instance+ -- type with an extra (dummy) type variable. It doesn't matter what+ -- we name it, since none of the inferred constraints will mention+ -- it anyway.+ eta_expanded_inst_ty+ | is_functor_like = inst_ty `DAppT` DVarT (mkName "dummy")+ | otherwise = inst_ty+ res_ty' <- expandType res_ty+ inst_ty' <- expandType eta_expanded_inst_ty+ field_tys' <- case matchTy YesIgnore res_ty' inst_ty' of+ Nothing -> fail $ showString "Unable to match type "+ . showsPrec 11 res_ty'+ . showString " with "+ . showsPrec 11 inst_ty'+ $ ""+ Just subst -> traverse (substTy subst) field_tys+ if is_functor_like+ then mk_functor_like_constraints field_tys' res_ty'+ else pure $ map (pr `DAppPr`) field_tys'++ -- If we derive a Functor-like class, e.g.,+ --+ -- data Foo f g h a = MkFoo (f a) (g (h a)) deriving Functor+ --+ -- Then we infer constraints by sticking Functor on the subtypes of kind+ -- (Type -> Type). In the example above, that would give us+ -- (Functor f, Functor g, Functor h).+ mk_functor_like_constraints :: [DType] -> DType -> q DCxt+ mk_functor_like_constraints fields res_ty = do+ -- This function is partial. But that's OK, because+ -- functorLikeValidityChecks ensures that this is total by the time+ -- we invoke this.+ let _ :| res_ty_args = unfoldType res_ty+ (_, last_res_ty_arg) = snocView res_ty_args+ Just last_tv = getDVarTName_maybe last_res_ty_arg+ deep_subtypes <- concatMapM (deepSubtypesContaining last_tv) fields+ pure $ map (pr `DAppPr`) deep_subtypes++ is_functor_like :: Bool+ is_functor_like+ | DConT pr_class_name :| _ <- unfoldType (predToType pr)+ = isFunctorLikeClassName pr_class_name+ | otherwise+ = False -- For @inferConstraintsDef mb_cxt@, if @mb_cxt@ is 'Just' a context, then it will -- simply return that context. Otherwise, if @mb_cxt@ is 'Nothing', then
src/Data/Singletons/Deriving/Ord.hs view
@@ -3,7 +3,7 @@ -- Module : Data.Singletons.Deriving.Ord -- Copyright : (C) 2015 Richard Eisenberg -- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu+-- Maintainer : Ryan Scott -- Stability : experimental -- Portability : non-portable --@@ -18,11 +18,12 @@ import Data.Singletons.Util import Language.Haskell.TH.Syntax import Data.Singletons.Deriving.Infer+import Data.Singletons.Deriving.Util import Data.Singletons.Syntax -- | Make a *non-singleton* Ord instance-mkOrdInstance :: DsMonad q => Maybe DCxt -> DType -> [DCon] -> q UInstDecl-mkOrdInstance mb_ctxt ty cons = do+mkOrdInstance :: DsMonad q => DerivDesc q+mkOrdInstance mb_ctxt ty (DataDecl _ _ cons) = do constraints <- inferConstraintsDef mb_ctxt (DConPr ordName) ty cons compare_eq_clauses <- mapM mk_equal_clause cons let compare_noneq_clauses = map (uncurry mk_nonequal_clause)@@ -36,6 +37,7 @@ return (InstDecl { id_cxt = constraints , id_name = ordName , id_arg_tys = [ty]+ , id_sigs = mempty , id_meths = [(compareName, UFunction clauses)] }) mk_equal_clause :: Quasi q => DCon -> q DClause
src/Data/Singletons/Deriving/Show.hs view
@@ -3,7 +3,7 @@ -- Module : Data.Singletons.Deriving.Show -- Copyright : (C) 2017 Ryan Scott -- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)+-- Maintainer : Ryan Scott -- Stability : experimental -- Portability : non-portable --@@ -13,8 +13,7 @@ {-# LANGUAGE ScopedTypeVariables #-} module Data.Singletons.Deriving.Show ( mkShowInstance- , ShowMode(..)- , mkShowContext+ , mkShowSingContext ) where import Language.Haskell.TH.Syntax hiding (showName)@@ -23,82 +22,66 @@ import Data.Singletons.Util import Data.Singletons.Syntax import Data.Singletons.Deriving.Infer+import Data.Singletons.Deriving.Util import Data.Maybe (fromMaybe) import GHC.Lexeme (startsConSym, startsVarSym) import GHC.Show (appPrec, appPrec1) -mkShowInstance :: DsMonad q- => ShowMode -> Maybe DCxt -> DType -> [DCon]- -> q UInstDecl-mkShowInstance mode mb_ctxt ty cons = do- clauses <- mk_showsPrec mode cons- constraints <- inferConstraintsDef (fmap (mkShowContext mode) mb_ctxt)- (DConPr (mk_Show_name mode))- ty cons+mkShowInstance :: DsMonad q => DerivDesc q+mkShowInstance mb_ctxt ty (DataDecl _ _ cons) = do+ clauses <- mk_showsPrec cons+ constraints <- inferConstraintsDef mb_ctxt (DConPr showName) ty cons return $ InstDecl { id_cxt = constraints- , id_name = mk_Show_name mode+ , id_name = showName , id_arg_tys = [ty]- , id_meths = [ (mk_showsPrec_name mode, UFunction clauses) ] }+ , id_sigs = mempty+ , id_meths = [ (showsPrecName, UFunction clauses) ] } -mk_showsPrec :: DsMonad q => ShowMode -> [DCon] -> q [DClause]-mk_showsPrec mode cons = do+mk_showsPrec :: DsMonad q => [DCon] -> q [DClause]+mk_showsPrec cons = do p <- newUniqueName "p" -- The precedence argument (not always used) if null cons then do v <- newUniqueName "v" pure [DClause [DWildPa, DVarPa v] (DCaseE (DVarE v) [])]- else mapM (mk_showsPrec_clause mode p) cons+ else mapM (mk_showsPrec_clause p) cons mk_showsPrec_clause :: forall q. DsMonad q- => ShowMode -> Name -> DCon+ => Name -> DCon -> q DClause-mk_showsPrec_clause mode p (DCon _ _ con_name con_fields _) = go con_fields+mk_showsPrec_clause p (DCon _ _ con_name con_fields _) = go con_fields where- con_name' :: Name- con_name' = case mode of- ForPromotion -> con_name- ForShowSing -> singDataConName con_name- go :: DConFields -> q DClause -- No fields: print just the constructor name, with no parentheses go (DNormalC _ []) = return $- DClause [DWildPa, DConPa con_name' []] $- DVarE showStringName `DAppE` dStringE (parenInfixConName con_name' "")+ DClause [DWildPa, DConPa con_name []] $+ DVarE showStringName `DAppE` dStringE (parenInfixConName con_name "") -- Infix constructors have special Show treatment.- go (DNormalC True tys@[_, _])- -- Although the (:) constructor is infix, its singled counterpart SCons- -- is not, which matters if we're deriving a ShowSing instance.- -- Unless we remove this special case (see #234), we will simply- -- shunt it along as if we were dealing with a prefix constructor.- | ForShowSing <- mode- , con_name == consName- = go (DNormalC False tys)-- | otherwise- = do argL <- newUniqueName "argL"- argR <- newUniqueName "argR"- fi <- fromMaybe defaultFixity <$> reifyFixityWithLocals con_name'- let con_prec = case fi of Fixity prec _ -> prec- op_name = nameBase con_name'- infixOpE = DAppE (DVarE showStringName) . dStringE $- if isInfixDataCon op_name- then " " ++ op_name ++ " "- -- Make sure to handle infix data constructors- -- like (Int `Foo` Int)- else " `" ++ op_name ++ "` "- return $ DClause [DVarPa p, DConPa con_name' [DVarPa argL, DVarPa argR]] $- (DVarE showParenName `DAppE` (DVarE gtName `DAppE` DVarE p- `DAppE` dIntegerE con_prec))- `DAppE` (DVarE composeName- `DAppE` showsPrecE mode (con_prec + 1) argL- `DAppE` (DVarE composeName- `DAppE` infixOpE- `DAppE` showsPrecE mode (con_prec + 1) argR))+ go (DNormalC True [_, _]) = do+ argL <- newUniqueName "argL"+ argR <- newUniqueName "argR"+ fi <- fromMaybe defaultFixity <$> reifyFixityWithLocals con_name+ let con_prec = case fi of Fixity prec _ -> prec+ op_name = nameBase con_name+ infixOpE = DAppE (DVarE showStringName) . dStringE $+ if isInfixDataCon op_name+ then " " ++ op_name ++ " "+ -- Make sure to handle infix data constructors+ -- like (Int `Foo` Int)+ else " `" ++ op_name ++ "` "+ return $ DClause [DVarPa p, DConPa con_name [DVarPa argL, DVarPa argR]] $+ (DVarE showParenName `DAppE` (DVarE gtName `DAppE` DVarE p+ `DAppE` dIntegerE con_prec))+ `DAppE` (DVarE composeName+ `DAppE` showsPrecE (con_prec + 1) argL+ `DAppE` (DVarE composeName+ `DAppE` infixOpE+ `DAppE` showsPrecE (con_prec + 1) argR)) go (DNormalC _ tys) = do args <- mapM (const $ newUniqueName "arg") tys- let show_args = map (showsPrecE mode appPrec1) args+ let show_args = map (showsPrecE appPrec1) args composed_args = foldr1 (\v q -> DVarE composeName `DAppE` v `DAppE` (DVarE composeName@@ -106,9 +89,9 @@ `DAppE` q)) show_args named_args = DVarE composeName `DAppE` (DVarE showStringName- `DAppE` dStringE (parenInfixConName con_name' " "))+ `DAppE` dStringE (parenInfixConName con_name " ")) `DAppE` composed_args- return $ DClause [DVarPa p, DConPa con_name' $ map DVarPa args] $+ return $ DClause [DVarPa p, DConPa con_name $ map DVarPa args] $ DVarE showParenName `DAppE` (DVarE gtName `DAppE` DVarE p `DAppE` dIntegerE appPrec) `DAppE` named_args@@ -121,27 +104,24 @@ args <- mapM (const $ newUniqueName "arg") tys let show_args = concatMap (\((arg_name, _, _), arg) ->- let arg_name' = case mode of- ForPromotion -> arg_name- ForShowSing -> singValName arg_name- arg_nameBase = nameBase arg_name'+ let arg_nameBase = nameBase arg_name infix_rec = showParen (isSym arg_nameBase) (showString arg_nameBase) "" in [ DVarE showStringName `DAppE` dStringE (infix_rec ++ " = ")- , showsPrecE mode 0 arg+ , showsPrecE 0 arg , DVarE showCommaSpaceName ]) (zip tys args)- brace_comma_args = (DVarE showCharName `DAppE` dCharE mode '{')+ brace_comma_args = (DVarE showCharName `DAppE` dCharE '{') : take (length show_args - 1) show_args composed_args = foldr (\x y -> DVarE composeName `DAppE` x `DAppE` y)- (DVarE showCharName `DAppE` dCharE mode '}')+ (DVarE showCharName `DAppE` dCharE '}') brace_comma_args named_args = DVarE composeName `DAppE` (DVarE showStringName- `DAppE` dStringE (parenInfixConName con_name' " "))+ `DAppE` dStringE (parenInfixConName con_name " ")) `DAppE` composed_args- return $ DClause [DVarPa p, DConPa con_name' $ map DVarPa args] $+ return $ DClause [DVarPa p, DConPa con_name $ map DVarPa args] $ DVarE showParenName `DAppE` (DVarE gtName `DAppE` DVarE p `DAppE` dIntegerE appPrec) `DAppE` named_args@@ -153,17 +133,12 @@ let conNameBase = nameBase conName in showParen (isInfixDataCon conNameBase) $ showString conNameBase -showsPrecE :: ShowMode -> Int -> Name -> DExp-showsPrecE mode prec n = DVarE (mk_showsPrec_name mode) `DAppE` dIntegerE prec `DAppE` DVarE n+showsPrecE :: Int -> Name -> DExp+showsPrecE prec n = DVarE showsPrecName `DAppE` dIntegerE prec `DAppE` DVarE n -dCharE :: ShowMode -> Char -> DExp-dCharE mode = DLitE . to_lit- where- to_lit :: Char -> Lit- to_lit c = case mode of- ForPromotion -> StringL [c] -- There aren't type-level characters yet,- -- so fake it with a string- ForShowSing -> CharL c+dCharE :: Char -> DExp+dCharE c = DLitE $ StringL [c] -- There aren't type-level characters yet,+ -- so fake it with a string dStringE :: String -> DExp dStringE = DLitE . StringL@@ -175,31 +150,13 @@ isSym "" = False isSym (c : _) = startsVarSym c || startsConSym c --------- ShowMode---------- | Is a 'Show' instance being generated to be promoted/singled, or is it--- being generated to create a @ShowSing@/'Show' instance for a singleton type?-data ShowMode = ForPromotion -- ^ For promotion/singling- | ForShowSing -- ^ For a @ShowSing@/'Show' instance- -- | Turn a context like @('Show' a, 'Show' b)@ into @('ShowSing' a, 'ShowSing' b)@.--- This is necessary for standalone-derived instances.-mkShowContext :: ShowMode -> DCxt -> DCxt-mkShowContext ForPromotion = id-mkShowContext ForShowSing = map show_to_SingShow+-- This is necessary for standalone-derived 'Show' instances for singleton types.+mkShowSingContext :: DCxt -> DCxt+mkShowSingContext = map show_to_SingShow where show_to_SingShow :: DPred -> DPred show_to_SingShow = modifyConNameDPred $ \n -> if n == showName then showSingName else n--mk_Show_name :: ShowMode -> Name-mk_Show_name ForPromotion = showName-mk_Show_name ForShowSing = showSingName--mk_showsPrec_name :: ShowMode -> Name-mk_showsPrec_name ForPromotion = showsPrecName-mk_showsPrec_name ForShowSing = showsSingPrecName
+ src/Data/Singletons/Deriving/Traversable.hs view
@@ -0,0 +1,69 @@+{-# LANGUAGE ScopedTypeVariables #-}++-----------------------------------------------------------------------------+-- |+-- Module : Data.Singletons.Deriving.Traversable+-- Copyright : (C) 2018 Ryan Scott+-- License : BSD-style (see LICENSE)+-- Maintainer : Ryan Scott+-- Stability : experimental+-- Portability : non-portable+--+-- Implements deriving of Traversable instances+--+----------------------------------------------------------------------------++module Data.Singletons.Deriving.Traversable where++import Data.Singletons.Deriving.Infer+import Data.Singletons.Deriving.Util+import Data.Singletons.Names+import Data.Singletons.Syntax+import Language.Haskell.TH.Desugar++mkTraversableInstance :: forall q. DsMonad q => DerivDesc q+mkTraversableInstance mb_ctxt ty dd@(DataDecl _ _ cons) = do+ functorLikeValidityChecks False dd+ f <- newUniqueName "_f"+ let ft_trav :: FFoldType (q DExp)+ ft_trav = FT { ft_triv = pure $ DVarE pureName+ -- traverse f = pure x+ , ft_var = pure $ DVarE f+ -- traverse f = f x+ , ft_ty_app = \_ g -> DAppE (DVarE traverseName) <$> g+ -- traverse f = traverse g+ , ft_forall = \_ g -> g+ , ft_bad_app = error "in other argument in ft_trav"+ }++ -- Con a1 a2 ... -> Con <$> g1 a1 <*> g2 a2 <*> ...+ clause_for_con :: [DPat] -> DCon -> [DExp] -> q DClause+ clause_for_con = mkSimpleConClause $ \con_name -> mkApCon (DConE con_name)+ where+ -- ((Con <$> x1) <*> x2) <*> ...+ mkApCon :: DExp -> [DExp] -> DExp+ mkApCon con [] = DVarE pureName `DAppE` con+ mkApCon con [x] = DVarE fmapName `DAppE` con `DAppE` x+ mkApCon con (x1:x2:xs) =+ foldl appAp (DVarE liftA2Name `DAppE` con `DAppE` x1 `DAppE` x2) xs+ where appAp x y = DVarE apName `DAppE` x `DAppE` y++ mk_trav_clause :: DCon -> q DClause+ mk_trav_clause con = do+ parts <- foldDataConArgs ft_trav con+ clause_for_con [DVarPa f] con =<< sequence parts++ mk_trav :: q [DClause]+ mk_trav = case cons of+ [] -> do v <- newUniqueName "v"+ pure [DClause [DWildPa, DVarPa v]+ (DVarE pureName `DAppE` DCaseE (DVarE v) [])]+ _ -> traverse mk_trav_clause cons++ trav_clauses <- mk_trav+ constraints <- inferConstraintsDef mb_ctxt (DConPr traversableName) ty cons+ return $ InstDecl { id_cxt = constraints+ , id_name = traversableName+ , id_arg_tys = [ty]+ , id_sigs = mempty+ , id_meths = [ (traverseName, UFunction trav_clauses) ] }
+ src/Data/Singletons/Deriving/Util.hs view
@@ -0,0 +1,313 @@+{-# LANGUAGE ScopedTypeVariables #-}++-----------------------------------------------------------------------------+-- |+-- Module : Data.Singletons.Deriving.Util+-- Copyright : (C) 2018 Ryan Scott+-- License : BSD-style (see LICENSE)+-- Maintainer : Ryan Scott+-- Stability : experimental+-- Portability : non-portable+--+-- Utilities used by the `deriving` machinery in singletons.+--+----------------------------------------------------------------------------+module Data.Singletons.Deriving.Util where++import Control.Monad+import Data.List+import Data.List.NonEmpty (NonEmpty(..))+import qualified Data.Set as Set+import Data.Singletons.Names+import Data.Singletons.Syntax+import Data.Singletons.Util+import Language.Haskell.TH.Desugar+import Language.Haskell.TH.Syntax++-- A generic type signature for describing how to produce a derived instance.+type DerivDesc q+ = Maybe DCxt -- (Just ctx) if ctx was provided via StandaloneDeriving.+ -- Nothing if using a deriving clause.+ -> DType -- The data type argument to the class.+ -> DataDecl -- The original data type information.+ -> q UInstDecl -- The derived instance.++-- | Is this data type a non-vanilla data type? Here, \"non-vanilla\" refers to+-- any data type that cannot be expressed using Haskell98 syntax. For instance,+-- this GADT:+--+-- @+-- data Foo :: Type -> Type where+-- MkFoo :: forall a. a -> Foo a+-- @+--+-- Is equivalent to this Haskell98 data type:+--+-- @+-- data Foo a = MkFoo a+-- @+--+-- However, the following GADT is non-vanilla:+--+-- @+-- data Bar :: Type -> Type where+-- MkBar :: Int -> Bar Int+-- @+--+-- Since there is no equivalent Haskell98 data type. The closest you could get+-- is this:+--+-- @+-- data Bar a = (a ~ Int) => MkBar Int+-- @+--+-- Which requires language extensions to write.+--+-- A data type is a non-vanilla if one of the following conditions are met:+--+-- 1. A constructor has any existentially quantified type variables.+--+-- 2. A constructor has a context.+--+-- We care about this because some derivable stock classes, such as 'Enum',+-- forbid derived instances for non-vanilla data types.+isNonVanillaDataType :: forall q. DsMonad q => DType -> [DCon] -> q Bool+isNonVanillaDataType data_ty = anyM $ \con@(DCon _ ctxt _ _ _) -> do+ ex_tvbs <- conExistentialTvbs data_ty con+ return $ not $ null ex_tvbs && null ctxt+ where+ anyM :: (a -> q Bool) -> [a] -> q Bool+ anyM _ [] = return False+ anyM p (x:xs) = do+ b <- p x+ if b then return True else anyM p xs++-----+-- Utilities for deriving Functor-like classes.+-- Much of this was cargo-culted from the GHC source code.+-----++data FFoldType a -- Describes how to fold over a DType in a functor like way+ = FT { ft_triv :: a+ -- ^ Does not contain variable+ , ft_var :: a+ -- ^ The variable itself+ , ft_ty_app :: DType -> a -> a+ -- ^ Type app, variable only in last argument+ , ft_bad_app :: a+ -- ^ Type app, variable other than in last argument+ , ft_forall :: [DTyVarBndr] -> a -> a+ -- ^ Forall type+ }++-- Note that in GHC, this function is pure. It must be monadic here since we:+--+-- (1) Expand type synonyms+-- (2) Detect type family applications+--+-- Which require reification in Template Haskell, but are pure in Core.+functorLikeTraverse :: forall q a.+ DsMonad q+ => Name -- ^ Variable to look for+ -> FFoldType a -- ^ How to fold+ -> DType -- ^ Type to process+ -> q a+functorLikeTraverse var (FT { ft_triv = caseTrivial, ft_var = caseVar+ , ft_ty_app = caseTyApp, ft_bad_app = caseWrongArg+ , ft_forall = caseForAll })+ ty+ = do ty' <- expandType ty+ (res, _) <- go ty'+ pure res+ where+ go :: DType+ -> q (a, Bool) -- (result of type a, does type contain var)+ go (DAppT f x) = do+ (_, fc) <- go f+ if fc+ then pure (caseWrongArg, True)+ else do (xr, xc) <- go x+ if xc+ then let tyApp :: q (a, Bool)+ tyApp = pure (caseTyApp f xr, True)++ inspect :: DType -> q (a, Bool)+ inspect (DConT n) = do+ itf <- isTyFamilyName n+ if itf -- We can't decompose type families, so+ -- error if we encounter one here.+ then pure (caseWrongArg, True)+ else tyApp+ inspect (DForallT _ _ t) = inspect t+ inspect (DSigT t _) = inspect t+ inspect (DAppT t _) = inspect t+ inspect (DVarT {}) = tyApp+ inspect DArrowT = tyApp+ inspect (DLitT {}) = tyApp+ inspect DWildCardT = tyApp++ in case unfoldType f of+ f_head :| _ -> inspect f_head+ else trivial+ go (DSigT t k) = do+ (_, kc) <- go k+ if kc+ then pure (caseWrongArg, True)+ else go t+ go (DVarT v)+ | v == var = pure (caseVar, True)+ | otherwise = trivial+ go (DForallT tvbs _ t) = do+ (tr, tc) <- go t+ if var `notElem` map extractTvbName tvbs && tc+ then pure (caseForAll tvbs tr, True)+ else trivial+ go (DConT {}) = trivial+ go DArrowT = trivial+ go (DLitT {}) = trivial+ go DWildCardT = trivial++ trivial :: q (a, Bool)+ trivial = pure (caseTrivial, False)++isTyFamilyName :: DsMonad q => Name -> q Bool+isTyFamilyName n = do+ info <- dsReify n+ pure $ case info of+ Just (DTyConI dec _)+ | DOpenTypeFamilyD{} <- dec -> True+ | DClosedTypeFamilyD{} <- dec -> True+ _ -> False++-- A crude approximation of cond_functorOK from GHC. This checks that:+--+-- (1) There's at least one type variable in the data type.+-- (2) It doesn't use the last type variable in the wrong place, e.g. data T a = MkT (X a a)+-- (3) It doesn't constrain the last type variable, e.g., data T a = Eq a => MkT a+functorLikeValidityChecks :: forall q. DsMonad q => Bool -> DataDecl -> q ()+functorLikeValidityChecks allowConstrainedLastTyVar (DataDecl n data_tvbs cons)+ | null data_tvbs -- (1)+ = fail $ "Data type " ++ nameBase n ++ " must have some type parameters"+ | otherwise+ = mapM_ check_con cons+ where+ check_con :: DCon -> q ()+ check_con con = do+ check_universal con+ checks <- foldDataConArgs (ft_check (extractName con)) con+ sequence_ checks++ -- (2)+ check_universal :: DCon -> q ()+ check_universal con@(DCon con_tvbs con_theta con_name _ res_ty)+ | allowConstrainedLastTyVar+ = pure ()+ | _ :| res_ty_args <- unfoldType res_ty+ , (_, last_res_ty_arg) <- snocView res_ty_args+ , Just last_tv <- getDVarTName_maybe last_res_ty_arg+ = do ex_tvbs <- conExistentialTvbs (foldTypeTvbs (DConT n) data_tvbs) con+ let univ_tvb_names = map extractTvbName con_tvbs \\ map extractTvbName ex_tvbs+ if last_tv `elem` univ_tvb_names+ && last_tv `Set.notMember` foldMap (fvDType . predToType) con_theta+ then pure ()+ else fail $ badCon con_name existential+ | otherwise+ = fail $ badCon con_name existential++ -- (3)+ ft_check :: Name -> FFoldType (q ())+ ft_check con_name =+ FT { ft_triv = pure ()+ , ft_var = pure ()+ , ft_ty_app = \_ x -> x+ , ft_bad_app = fail $ badCon con_name wrong_arg+ , ft_forall = \_ x -> x+ }++ badCon :: Name -> String -> String+ badCon con_name msg = "Constructor " ++ nameBase con_name ++ " " ++ msg++ existential, wrong_arg :: String+ existential = "must be truly polymorphic in the last argument of the data type"+ wrong_arg = "must use the type variable only as the last argument of a data type"++-- Return all syntactic subterms of a type that contain the given variable somewhere.+-- These are the things that should appear in Functor-like instance constraints.+deepSubtypesContaining :: DsMonad q => Name -> DType -> q [DType]+deepSubtypesContaining tv+ = functorLikeTraverse tv+ (FT { ft_triv = []+ , ft_var = []+ , ft_ty_app = (:)+ , ft_bad_app = error "in other argument in deepSubtypesContaining"+ , ft_forall = \tvbs xs -> filter (\x -> all (not_in_ty x) tvbs) xs })+ where+ not_in_ty :: DType -> DTyVarBndr -> Bool+ not_in_ty ty tvb = extractTvbName tvb `Set.notMember` fvDType ty++-- Fold over the arguments of a data constructor in a Functor-like way.+foldDataConArgs :: forall q a. DsMonad q => FFoldType a -> DCon -> q [a]+foldDataConArgs ft (DCon _ _ _ fields res_ty) = do+ field_tys <- traverse expandType $ tysOfConFields fields+ traverse foldArg field_tys+ where+ foldArg :: DType -> q a+ foldArg+ | _ :| res_ty_args <- unfoldType res_ty+ , (_, last_res_ty_arg) <- snocView res_ty_args+ , Just last_tv <- getDVarTName_maybe last_res_ty_arg+ = functorLikeTraverse last_tv ft+ | otherwise+ = const (return (ft_triv ft))++-- If a type is a type variable (or a variable with a kind signature), return+-- 'Just' that. Otherwise, return 'Nothing'.+getDVarTName_maybe :: DType -> Maybe Name+getDVarTName_maybe (DSigT t _) = getDVarTName_maybe t+getDVarTName_maybe (DVarT n) = Just n+getDVarTName_maybe _ = Nothing++-- Make a 'DLamE' using a fresh variable.+mkSimpleLam :: Quasi q => (DExp -> q DExp) -> q DExp+mkSimpleLam lam = do+ n <- newUniqueName "n"+ body <- lam (DVarE n)+ return $ DLamE [n] body++-- Make a 'DLamE' using two fresh variables.+mkSimpleLam2 :: Quasi q => (DExp -> DExp -> q DExp) -> q DExp+mkSimpleLam2 lam = do+ n1 <- newUniqueName "n1"+ n2 <- newUniqueName "n2"+ body <- lam (DVarE n1) (DVarE n2)+ return $ DLamE [n1, n2] body++-- "Con a1 a2 a3 -> fold [x1 a1, x2 a2, x3 a3]"+--+-- @mkSimpleConClause fold extra_pats con insides@ produces a match clause in+-- which the LHS pattern-matches on @extra_pats@, followed by a match on the+-- constructor @con@ and its arguments. The RHS folds (with @fold@) over @con@+-- and its arguments, applying an expression (from @insides@) to each of the+-- respective arguments of @con@.+mkSimpleConClause :: Quasi q+ => (Name -> [DExp] -> DExp)+ -> [DPat]+ -> DCon+ -> [DExp]+ -> q DClause+mkSimpleConClause fold extra_pats (DCon _ _ con_name _ _) insides = do+ vars_needed <- replicateM (length insides) $ newUniqueName "a"+ let pat = DConPa con_name (map DVarPa vars_needed)+ rhs = fold con_name (zipWith (\i v -> i `DAppE` DVarE v) insides vars_needed)+ pure $ DClause (extra_pats ++ [pat]) rhs++-- 'True' if the derived class's last argument is of kind (Type -> Type),+-- and thus needs a different constraint inference approach.+--+-- Really, we should be determining this information by inspecting the kind+-- of the class being used. But that comes dangerously close to kind+-- inference territory, so for now we simply hardcode which stock derivable+-- classes are Functor-like.+isFunctorLikeClassName :: Name -> Bool+isFunctorLikeClassName class_name+ = class_name `elem` [functorName, foldableName, traversableName]
src/Data/Singletons/Internal.hs view
@@ -1,7 +1,7 @@ {-# LANGUAGE MagicHash, RankNTypes, PolyKinds, GADTs, DataKinds, FlexibleContexts, FlexibleInstances, TypeFamilies, TypeOperators, TypeFamilyDependencies,- UndecidableInstances, TypeInType, ConstraintKinds,+ UndecidableInstances, ConstraintKinds, ScopedTypeVariables, TypeApplications, AllowAmbiguousTypes, PatternSynonyms, ViewPatterns #-} @@ -10,7 +10,7 @@ -- Module : Data.Singletons.Internal -- Copyright : (C) 2013 Richard Eisenberg -- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)+-- Maintainer : Ryan Scott -- Stability : experimental -- Portability : non-portable --@@ -26,7 +26,7 @@ , Proxy(..) ) where -import Data.Kind+import Data.Kind (Type) import Unsafe.Coerce import Data.Proxy ( Proxy(..) ) import GHC.Exts ( Proxy#, Constraint )@@ -46,12 +46,12 @@ ---------------------------------------------------------------------- -- | The singleton kind-indexed data family.-data family Sing (a :: k)+data family Sing :: k -> Type -- | A 'SingI' constraint is essentially an implicitly-passed singleton. -- If you need to satisfy this constraint with an explicit singleton, please -- see 'withSingI' or the 'Sing' pattern synonym.-class SingI (a :: k) where+class SingI a where -- | Produce the singleton explicitly. You will likely need the @ScopedTypeVariables@ -- extension to use this method the way you want. sing :: Sing a@@ -63,7 +63,8 @@ -- -- As a __pattern__: Matches on an explicit @Sing a@ witness bringing -- an implicit @SingI a@ constraint into scope.-pattern Sing :: forall (a :: k). () => SingI a => Sing a+{-# COMPLETE Sing #-}+pattern Sing :: forall k (a :: k). () => SingI a => Sing a pattern Sing <- (singInstance -> SingInstance) where Sing = sing @@ -88,7 +89,7 @@ -- | Get a base type from the promoted kind. For example, -- @Demote Bool@ will be the type @Bool@. Rarely, the type and kind do not -- match. For example, @Demote Nat@ is @Natural@.- type Demote k = (r :: *) | r -> k+ type Demote k = (r :: Type) | r -> k -- | Convert a singleton to its unrefined version. fromSing :: Sing (a :: k) -> Demote k@@ -137,6 +138,7 @@ -- 'withSomeSing' bool2 $ \singBool2 -> -- 'SomeSing' (singBool1 %&& singBool2) -- @+{-# COMPLETE FromSing #-} pattern FromSing :: SingKind k => forall (a :: k). Sing a -> Demote k pattern FromSing sng <- ((\demotedVal -> withSomeSing demotedVal SomeSing) -> SomeSing sng) where FromSing sng = fromSing sng@@ -153,7 +155,7 @@ newtype DI a = Don'tInstantiate (SingI a => SingInstance a) -- | Get an implicit singleton (a 'SingI' instance) from an explicit one.-singInstance :: forall (a :: k). Sing a -> SingInstance a+singInstance :: forall k (a :: k). Sing a -> SingInstance a singInstance s = with_sing_i SingInstance where with_sing_i :: (SingI a => SingInstance a) -> SingInstance a@@ -167,11 +169,11 @@ -- between term-level arrows and this type-level arrow is that at the term -- level applications can be unsaturated, whereas at the type level all -- applications have to be fully saturated.-data TyFun :: * -> * -> *+data TyFun :: Type -> Type -> Type -- | Something of kind `a ~> b` is a defunctionalized type function that is -- not necessarily generative or injective.-type a ~> b = TyFun a b -> *+type a ~> b = TyFun a b -> Type infixr 0 ~> -- | Type level function application@@ -239,7 +241,7 @@ SLambda { applySing :: forall t. Sing t -> Sing (f @@ t) } -- | An infix synonym for `applySing`-(@@) :: forall (f :: k1 ~> k2) (t :: k1). Sing f -> Sing t -> Sing (f @@ t)+(@@) :: forall k1 k2 (f :: k1 ~> k2) (t :: k1). Sing f -> Sing t -> Sing (f @@ t) (@@) = applySing -- | Note that this instance's 'toSing' implementation crucially relies on the fact@@ -401,7 +403,7 @@ -- property. If the singleton does not satisfy the property, then the function -- returns 'Nothing'. The property is expressed in terms of the underlying -- representation of the singleton.-singThat :: forall (a :: k). (SingKind k, SingI a)+singThat :: forall k (a :: k). (SingKind k, SingI a) => (Demote k -> Bool) -> Maybe (Sing a) singThat p = withSing $ \x -> if p (fromSing x) then Just x else Nothing @@ -425,4 +427,4 @@ -- >>> demote @(Nothing :: Maybe Ordering) -- Nothing demote :: forall a. (SingKind (KindOf a), SingI a) => Demote (KindOf a)-demote = fromSing (sing @(KindOf a) @a)+demote = fromSing (sing @a)
src/Data/Singletons/Names.hs view
@@ -20,11 +20,12 @@ import GHC.Show ( showCommaSpace, showSpace ) import Data.Typeable ( TypeRep ) import Data.Singletons.Util+import Control.Applicative import Control.Monad boolName, andName, tyEqName, compareName, minBoundName, maxBoundName, repName,- nilName, consName, listName, tyFunName,+ nilName, consName, listName, tyFunArrowName, applyName, natName, symbolName, typeRepName, stringName, eqName, ordName, boundedName, orderingName, singFamilyName, singIName, singMethName, demoteName,@@ -40,8 +41,11 @@ singletonsToEnumName, singletonsFromEnumName, enumName, singletonsEnumName, equalsName, constraintName, showName, showCharName, showCommaSpaceName, showParenName, showsPrecName,- showSpaceName, showStringName, showSingName, showsSingPrecName,- composeName, gtName, tyFromStringName, sFromStringName :: Name+ showSpaceName, showStringName, showSingName,+ composeName, gtName, tyFromStringName, sFromStringName,+ foldableName, foldMapName, memptyName, mappendName, foldrName,+ functorName, fmapName, replaceName,+ traversableName, traverseName, pureName, apName, liftA2Name :: Name boolName = ''Bool andName = '(&&) compareName = 'compare@@ -52,7 +56,7 @@ nilName = '[] consName = '(:) listName = ''[]-tyFunName = ''TyFun+tyFunArrowName = ''(~>) applyName = ''Apply symbolName = ''Symbol natName = ''Nat@@ -111,12 +115,24 @@ showsPrecName = 'showsPrec showStringName = 'showString showSingName = mk_name_tc "Data.Singletons.ShowSing" "ShowSing"-showsSingPrecName = mk_name_v "Data.Singletons.ShowSing" "showsSingPrec" composeName = '(.) gtName = '(>) showCommaSpaceName = 'showCommaSpace tyFromStringName = mk_name_tc "Data.Singletons.Prelude.IsString" "FromString" sFromStringName = mk_name_v "Data.Singletons.Prelude.IsString" "sFromString"+foldableName = ''Foldable+foldMapName = 'foldMap+memptyName = 'mempty+mappendName = 'mappend+foldrName = 'foldr+functorName = ''Functor+fmapName = 'fmap+replaceName = '(<$)+traversableName = ''Traversable+traverseName = 'traverse+pureName = 'pure+apName = '(<*>)+liftA2Name = 'liftA2 singPkg :: String singPkg = $( (LitE . StringL . loc_package) `liftM` location )@@ -186,6 +202,12 @@ -- (.) and (!) are problematic for the parser. -- See Note [Special cases for (.) and (!)] + -- We can't promote promote idenitifers beginning with underscores to+ -- type names, so we work around the issue by prepending "US" at the+ -- front of the name (#229).+ | Just (us, rest) <- splitUnderscores (nameBase name)+ = default_case (mkName $ "US" ++ us ++ rest)+ | name == nilName = mkName $ "NilSym" ++ (show sat) @@ -215,6 +237,9 @@ symbolic = not (isHsLetter (head nameStr)) qNewName (if symbolic then "ty" else nameStr) +mkTyConName :: Int -> Name+mkTyConName i = mk_name_tc "Data.Singletons.Internal" $ "TyCon" ++ show i+ falseTySym :: DType falseTySym = promoteValRhs falseName @@ -279,7 +304,7 @@ -- make and equality predicate mkEqPred :: DType -> DType -> DPred-mkEqPred ty1 ty2 = foldl DAppPr (DConPr equalityName) [ty1, ty2]+mkEqPred ty1 ty2 = foldPred (DConPr equalityName) [ty1, ty2] -- | If a 'String' begins with one or more underscores, return -- @'Just' (us, rest)@, where @us@ contain all of the underscores at the@@ -294,11 +319,12 @@ modifyConNameDPred :: (Name -> Name) -> DPred -> DPred modifyConNameDPred mod_con_name = go where- go (DAppPr p t) = DAppPr (go p) t- go (DSigPr p k) = DSigPr (go p) k- go p@(DVarPr _) = p- go (DConPr n) = DConPr (mod_con_name n)- go p@DWildCardPr = p+ go (DForallPr tvbs cxt p) = DForallPr tvbs (map go cxt) (go p)+ go (DAppPr p t) = DAppPr (go p) t+ go (DSigPr p k) = DSigPr (go p) k+ go p@(DVarPr _) = p+ go (DConPr n) = DConPr (mod_con_name n)+ go p@DWildCardPr = p {- Note [Defunctionalization symbol suffixes]
src/Data/Singletons/Partition.hs view
@@ -3,7 +3,7 @@ -- Module : Data.Singletons.Partition -- Copyright : (C) 2015 Richard Eisenberg -- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu+-- Maintainer : Ryan Scott -- Stability : experimental -- Portability : non-portable --@@ -11,6 +11,7 @@ -- ---------------------------------------------------------------------------- +{-# LANGUAGE ScopedTypeVariables #-} {-# LANGUAGE TupleSections #-} module Data.Singletons.Partition where@@ -20,7 +21,11 @@ import Data.Singletons.Deriving.Ord import Data.Singletons.Deriving.Bounded import Data.Singletons.Deriving.Enum+import Data.Singletons.Deriving.Foldable+import Data.Singletons.Deriving.Functor import Data.Singletons.Deriving.Show+import Data.Singletons.Deriving.Traversable+import Data.Singletons.Deriving.Util import Data.Singletons.Names import Language.Haskell.TH.Syntax hiding (showName) import Language.Haskell.TH.Ppr@@ -28,7 +33,10 @@ import Data.Singletons.Util import Control.Monad+import Data.Bifunctor (bimap) import Data.List.NonEmpty (NonEmpty(..))+import qualified Data.Map as Map+import Data.Map (Map) import Data.Maybe import Data.Semigroup (Semigroup(..)) @@ -37,16 +45,20 @@ , pd_class_decs :: [UClassDecl] , pd_instance_decs :: [UInstDecl] , pd_data_decs :: [DataDecl]+ , pd_ty_syn_decs :: [TySynDecl]+ , pd_open_type_family_decs :: [OpenTypeFamilyDecl]+ , pd_closed_type_family_decs :: [ClosedTypeFamilyDecl] , pd_derived_eq_decs :: [DerivedEqDecl] , pd_derived_show_decs :: [DerivedShowDecl] } instance Semigroup PartitionedDecs where- PDecs a1 b1 c1 d1 e1 f1 <> PDecs a2 b2 c2 d2 e2 f2 =+ PDecs a1 b1 c1 d1 e1 f1 g1 h1 i1 <> PDecs a2 b2 c2 d2 e2 f2 g2 h2 i2 = PDecs (a1 <> a2) (b1 <> b2) (c1 <> c2) (d1 <> d2) (e1 <> e2) (f1 <> f2)+ (g1 <> g2) (h1 <> h2) (i1 <> i2) instance Monoid PartitionedDecs where- mempty = PDecs [] [] [] [] [] []+ mempty = PDecs [] [] [] [] [] [] [] [] [] mappend = (<>) -- | Split up a @[DDec]@ into its pieces, extracting 'Ord' instances@@ -58,42 +70,64 @@ partitionDec (DLetDec (DPragmaD {})) = return mempty partitionDec (DLetDec letdec) = return $ mempty { pd_let_decs = [letdec] } -partitionDec (DDataD nd _cxt name tvbs cons derivings) = do+partitionDec (DDataD _nd _cxt name tvbs mk cons derivings) = do+ all_tvbs <- buildDataDTvbs tvbs mk+ let data_decl = DataDecl name all_tvbs cons+ derived_dec = mempty { pd_data_decs = [data_decl] } derived_decs- <- mapM (\(strat, deriv_pred) -> partitionDeriving strat deriv_pred Nothing ty cons)+ <- mapM (\(strat, deriv_pred) ->+ let etad_tvbs+ | DConT pred_name :| _ <- unfoldType deriv_pred+ , isFunctorLikeClassName pred_name+ -- If deriving Functor, Foldable, or Traversable,+ -- we need to use one less type variable than we normally do.+ = take (length all_tvbs - 1) all_tvbs+ | otherwise+ = all_tvbs+ ty = foldTypeTvbs (DConT name) etad_tvbs+ in partitionDeriving strat deriv_pred Nothing ty data_decl) $ concatMap flatten_clause derivings- return $ mconcat $ data_dec : derived_decs+ return $ mconcat $ derived_dec : derived_decs where- data_dec = mempty { pd_data_decs = [DataDecl nd name tvbs cons []] }- ty = foldType (DConT name) (map tvbToType tvbs)-- flatten_clause :: DDerivClause -> [(Maybe DerivStrategy, DType)]+ flatten_clause :: DDerivClause -> [(Maybe DDerivStrategy, DType)] flatten_clause (DDerivClause strat preds) = map (\p -> (strat, predToType p)) preds partitionDec (DClassD cxt name tvbs fds decs) = do- env <- concatMapM partitionClassDec decs- return $ mempty { pd_class_decs = [ClassDecl { cd_cxt = cxt- , cd_name = name- , cd_tvbs = tvbs- , cd_fds = fds- , cd_lde = env }] }+ (lde, otfs) <- concatMapM partitionClassDec decs+ return $ mempty { pd_class_decs = [ClassDecl { cd_cxt = cxt+ , cd_name = name+ , cd_tvbs = tvbs+ , cd_fds = fds+ , cd_lde = lde }]+ , pd_open_type_family_decs = otfs } partitionDec (DInstanceD _ cxt ty decs) = do- defns <- liftM catMaybes $ mapM partitionInstanceDec decs+ (defns, sigs) <- liftM (bimap catMaybes mconcat) $+ mapAndUnzipM partitionInstanceDec decs (name, tys) <- split_app_tys [] ty- return $ mempty { pd_instance_decs = [InstDecl { id_cxt = cxt- , id_name = name- , id_arg_tys = tys- , id_meths = defns }] }+ return $ mempty { pd_instance_decs = [InstDecl { id_cxt = cxt+ , id_name = name+ , id_arg_tys = tys+ , id_sigs = sigs+ , id_meths = defns }] } where split_app_tys acc (DAppT t1 t2) = split_app_tys (t2:acc) t1 split_app_tys acc (DConT name) = return (name, acc) split_app_tys acc (DSigT t _) = split_app_tys acc t split_app_tys _ _ = fail $ "Illegal instance head: " ++ show ty partitionDec (DRoleAnnotD {}) = return mempty -- ignore these-partitionDec (DTySynD {}) = return mempty -- ignore type synonyms;- -- promotion is a no-op, and- -- singling expands all syns+partitionDec (DTySynD name tvbs _type) =+ -- See Note [Partitioning, type synonyms, and type families]+ pure $ mempty { pd_ty_syn_decs = [TySynDecl name tvbs] }+partitionDec (DClosedTypeFamilyD tf_head _) =+ -- See Note [Partitioning, type synonyms, and type families]+ pure $ mempty { pd_closed_type_family_decs = [TypeFamilyDecl tf_head] }+partitionDec (DOpenTypeFamilyD tf_head) =+ -- See Note [Partitioning, type synonyms, and type families]+ pure $ mempty { pd_open_type_family_decs = [TypeFamilyDecl tf_head] }+partitionDec (DTySynInstD {}) = pure mempty+ -- There's no need to track type family instances, since+ -- we already record the type family itself separately. partitionDec (DStandaloneDerivD mb_strat ctxt ty) = case unfoldType ty of cls_pred_ty :| cls_tys@@ -106,8 +140,10 @@ -> do let cls_pred = foldType cls_pred_ty cls_arg_tys dinfo <- dsReify data_tycon case dinfo of- Just (DTyConI (DDataD _ _ _ _ cons _) _) -> do- partitionDeriving mb_strat cls_pred (Just ctxt) data_ty cons+ Just (DTyConI (DDataD _ _ dn dtvbs dk dcons _) _) -> do+ all_tvbs <- buildDataDTvbs dtvbs dk+ let data_decl = DataDecl dn all_tvbs dcons+ partitionDeriving mb_strat cls_pred (Just ctxt) data_ty data_decl Just _ -> fail $ "Standalone derived instance for something other than a datatype: " ++ show data_ty@@ -116,36 +152,64 @@ partitionDec dec = fail $ "Declaration cannot be promoted: " ++ pprint (decToTH dec) -partitionClassDec :: Monad m => DDec -> m ULetDecEnv-partitionClassDec (DLetDec (DSigD name ty)) = return $ typeBinding name ty+partitionClassDec :: Monad m => DDec -> m (ULetDecEnv, [OpenTypeFamilyDecl])+partitionClassDec (DLetDec (DSigD name ty)) =+ pure (typeBinding name ty, mempty) partitionClassDec (DLetDec (DValD (DVarPa name) exp)) =- return $ valueBinding name (UValue exp)+ pure (valueBinding name (UValue exp), mempty) partitionClassDec (DLetDec (DFunD name clauses)) =- return $ valueBinding name (UFunction clauses)+ pure (valueBinding name (UFunction clauses), mempty) partitionClassDec (DLetDec (DInfixD fixity name)) =- return $ infixDecl fixity name-partitionClassDec (DLetDec (DPragmaD {})) = return mempty+ pure (infixDecl fixity name, mempty)+partitionClassDec (DLetDec (DPragmaD {})) =+ pure (mempty, mempty)+partitionClassDec (DOpenTypeFamilyD tf_head) =+ -- See Note [Partitioning, type synonyms, and type families]+ pure (mempty, [TypeFamilyDecl tf_head])+partitionClassDec (DTySynInstD {}) =+ -- There's no need to track associated type family default equations, since+ -- we already record the type family itself separately.+ pure (mempty, mempty) partitionClassDec _ = fail "Only method declarations can be promoted within a class." -partitionInstanceDec :: Monad m => DDec -> m (Maybe (Name, ULetDecRHS))+partitionInstanceDec :: Monad m => DDec+ -> m ( Maybe (Name, ULetDecRHS) -- right-hand sides of methods+ , Map Name DType -- method type signatures+ ) partitionInstanceDec (DLetDec (DValD (DVarPa name) exp)) =- return $ Just (name, UValue exp)+ pure (Just (name, UValue exp), mempty) partitionInstanceDec (DLetDec (DFunD name clauses)) =- return $ Just (name, UFunction clauses)-partitionInstanceDec (DLetDec (DPragmaD {})) = return Nothing+ pure (Just (name, UFunction clauses), mempty)+partitionInstanceDec (DLetDec (DSigD name ty)) =+ pure (Nothing, Map.singleton name ty)+partitionInstanceDec (DLetDec (DPragmaD {})) =+ pure (Nothing, mempty)+partitionInstanceDec (DTySynInstD {}) =+ pure (Nothing, mempty)+ -- There's no need to track associated type family instances, since+ -- we already record the type family itself separately. partitionInstanceDec _ = fail "Only method bodies can be promoted within an instance." -partitionDeriving :: DsMonad m => Maybe DerivStrategy -> DType -> Maybe DCxt -> DType -> [DCon]- -> m PartitionedDecs-partitionDeriving mb_strat deriv_pred mb_ctxt ty cons =+partitionDeriving+ :: forall m. DsMonad m+ => Maybe DDerivStrategy+ -- ^ The deriving strategy, if present.+ -> DType -- ^ The class being derived (e.g., 'Eq'), possibly applied to+ -- some number of arguments (e.g., @C Int Bool@).+ -> Maybe DCxt -- ^ @'Just' ctx@ if @ctx@ was provided via @StandaloneDeriving@.+ -- 'Nothing' if using a @deriving@ clause.+ -> DType -- ^ The data type argument to the class.+ -> DataDecl -- ^ The original data type information (e.g., its constructors).+ -> m PartitionedDecs+partitionDeriving mb_strat deriv_pred mb_ctxt ty data_decl = case unfoldType deriv_pred of DConT deriv_name :| arg_tys -- Here, we are more conservative than GHC: DeriveAnyClass only kicks -- in if the user explicitly chooses to do so with the anyclass -- deriving strategy- | Just AnyclassStrategy <- mb_strat+ | Just DAnyclassStrategy <- mb_strat -> return $ mk_derived_inst InstDecl { id_cxt = fromMaybe [] mb_ctxt -- For now at least, there's no point in attempting to@@ -158,64 +222,85 @@ -- (Of course, if a user specifies a context with -- StandaloneDeriving, use that.) - , id_name = deriv_name- , id_arg_tys = arg_tys ++ [ty]- , id_meths = [] }+ , id_name = deriv_name+ , id_arg_tys = arg_tys ++ [ty]+ , id_sigs = mempty+ , id_meths = [] } - | Just NewtypeStrategy <- mb_strat+ | Just DNewtypeStrategy <- mb_strat -> do qReportWarning "GeneralizedNewtypeDeriving is ignored by `singletons`." return mempty + | Just (DViaStrategy {}) <- mb_strat+ -> do qReportWarning "DerivingVia is ignored by `singletons`."+ return mempty+ -- Stock classes. These are derived only if `singletons` supports them -- (and, optionally, if an explicit stock deriving strategy is used) DConT deriv_name :| [] -- For now, all stock derivable class supported in -- singletons take just one argument (the data -- type itself) | stock_or_default- , deriv_name == ordName- -> mk_derived_inst <$> mkOrdInstance mb_ctxt ty cons-- | stock_or_default- , deriv_name == boundedName- -> mk_derived_inst <$> mkBoundedInstance mb_ctxt ty cons-- | stock_or_default- , deriv_name == enumName- -> mk_derived_inst <$> mkEnumInstance mb_ctxt ty cons-- -- See Note [DerivedDecl] in Data.Singletons.Syntax- | stock_or_default- , deriv_name == eqName- -> return $ mk_derived_eq_inst $ mk_derived_decl mb_ctxt ty cons-- -- See Note [DerivedDecl] in Data.Singletons.Syntax- | stock_or_default- , deriv_name == showName- -> do -- This will become PShow/SShow instances...- inst_for_promotion <- mkShowInstance ForPromotion mb_ctxt ty cons- -- ...and this will become ShowSing/Show instances.- let inst_for_ShowSing = mk_derived_decl mb_ctxt ty cons- pure $ mempty { pd_instance_decs = [inst_for_promotion]- , pd_derived_show_decs = [inst_for_ShowSing] }+ , Just decs <- Map.lookup deriv_name stock_map+ -> decs -- If we can't find a stock class, but the user bothered to use an -- explicit stock keyword, we can at least warn them about it.- | Just StockStrategy <- mb_strat+ | Just DStockStrategy <- mb_strat -> do qReportWarning $ "`singletons` doesn't recognize the stock class " ++ nameBase deriv_name return mempty _ -> return mempty -- singletons doesn't support deriving this instance where+ mk_instance :: DerivDesc m -> m UInstDecl+ mk_instance maker = maker mb_ctxt ty data_decl+ mk_derived_inst dec = mempty { pd_instance_decs = [dec] } mk_derived_eq_inst dec = mempty { pd_derived_eq_decs = [dec] }- mk_derived_decl mb_ctxt' ty' cons' = DerivedDecl { ded_mb_cxt = mb_ctxt'- , ded_type = ty'- , ded_cons = cons' }+ derived_decl = DerivedDecl { ded_mb_cxt = mb_ctxt+ , ded_type = ty+ , ded_decl = data_decl } stock_or_default = isStockOrDefault mb_strat + -- A mapping from all stock derivable classes (that singletons supports)+ -- to to derived code that they produce.+ stock_map :: Map Name (m PartitionedDecs)+ stock_map = Map.fromList+ [ ( ordName, mk_derived_inst <$> mk_instance mkOrdInstance )+ , ( boundedName, mk_derived_inst <$> mk_instance mkBoundedInstance )+ , ( enumName, mk_derived_inst <$> mk_instance mkEnumInstance )+ , ( functorName, mk_derived_inst <$> mk_instance mkFunctorInstance )+ , ( foldableName, mk_derived_inst <$> mk_instance mkFoldableInstance )+ , ( traversableName, mk_derived_inst <$> mk_instance mkTraversableInstance )+ -- See Note [DerivedDecl] in Data.Singletons.Syntax+ , ( eqName, return $ mk_derived_eq_inst derived_decl )+ -- See Note [DerivedDecl] in Data.Singletons.Syntax+ , ( showName, do -- These will become PShow/SShow instances...+ inst_for_promotion <- mk_instance mkShowInstance+ -- ...and this will become a Show instance.+ let inst_for_show = derived_decl+ pure $ mempty { pd_instance_decs = [inst_for_promotion]+ , pd_derived_show_decs = [inst_for_show] } )+ ]+ -- Is this being used with an explicit stock strategy, or no strategy at all?-isStockOrDefault :: Maybe DerivStrategy -> Bool-isStockOrDefault Nothing = True-isStockOrDefault (Just StockStrategy) = True-isStockOrDefault (Just _) = False+isStockOrDefault :: Maybe DDerivStrategy -> Bool+isStockOrDefault Nothing = True+isStockOrDefault (Just DStockStrategy) = True+isStockOrDefault (Just _) = False++{-+Note [Partitioning, type synonyms, and type families]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+The process of singling does not produce any new declarations corresponding to+type synonyms or type families, so they are "ignored" in a sense. Nevertheless,+we explicitly track them during partitioning, since we want to create+defunctionalization symbols for them.++Also note that:++1. Other uses of type synonyms in singled code will be expanded away.+2. Other uses of type families in singled code are unlikely to work at present+ due to Trac #12564.+-}
src/Data/Singletons/Prelude.hs view
@@ -3,7 +3,7 @@ -- Module : Data.Singletons.Prelude -- Copyright : (C) 2013 Richard Eisenberg -- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)+-- Maintainer : Ryan Scott -- Stability : experimental -- Portability : non-portable --@@ -37,13 +37,14 @@ -- * Error reporting Error, sError,+ ErrorWithoutStackTrace, sErrorWithoutStackTrace, Undefined, sUndefined, -- * Singleton equality module Data.Singletons.Prelude.Eq, -- * Singleton comparisons- module Data.Singletons.Prelude.Ord,+ POrd(..), SOrd(..), -- * Singleton Enum and Bounded -- | As a matter of convenience, the singletons Prelude does /not/ export@@ -57,19 +58,40 @@ type (^), (%^), -- * Singleton 'Show'- PShow(..), SShow(..), ShowS, SChar, type (<>), (%<>),+ PShow(..), SShow(..), ShowS, SChar, Shows, sShows, ShowChar, sShowChar, ShowString, sShowString, ShowParen, sShowParen, + -- * Singleton 'Semigroup' and 'Monoid'+ PSemigroup(type (<>)), SSemigroup((%<>)),+ PMonoid(..), SMonoid(..),++ -- * Singleton 'Functor', 'Applicative', and 'Monad'+ PFunctor(Fmap, type (<$)), SFunctor(sFmap, (%<$)), type (<$>), (%<$>),+ PApplicative(Pure, type (<*>), type (*>), type (<*)),+ SApplicative(sPure, (%<*>), (%*>), (%<*)),+ PMonad(type (>>=), type (>>), Return, Fail),+ SMonad((%>>=), (%>>), sReturn, sFail),+ MapM_, sMapM_,+ Sequence_, sSequence_,+ type (=<<), (%=<<),++ -- * Singleton 'Foldable' and 'Traversable'+ PFoldable(Elem, FoldMap, Foldr, Foldl, Foldr1, Foldl1,+ Maximum, Minimum, Product, Sum),+ SFoldable(sElem, sFoldMap, sFoldr, sFoldl, sFoldr1, sFoldl1,+ sMaximum, sMinimum, sProduct, sSum),+ PTraversable(Traverse, SequenceA, MapM, Sequence),+ STraversable(sTraverse, sSequenceA, sMapM, sSequence),+ -- ** Miscellaneous functions Id, sId, Const, sConst, (:.), (%.), type ($), (%$), type ($!), (%$!), Flip, sFlip, AsTypeOf, sAsTypeOf, Seq, sSeq, -- * List operations- Map, sMap, type (++), (%++), Head, sHead, Last, sLast, Tail, sTail,+ Map, sMap, type (++), (%++), Filter, sFilter,+ Head, sHead, Last, sLast, Tail, sTail, Init, sInit, Null, sNull, Reverse, sReverse,- -- ** Reducing lists (folds)- Foldl, sFoldl, Foldl1, sFoldl1, Foldr, sFoldr, Foldr1, sFoldr1, -- *** Special folds And, sAnd, Or, sOr, Any, sAny, All, sAll, Concat, sConcat, ConcatMap, sConcatMap,@@ -81,7 +103,7 @@ Take, sTake, Drop, sDrop, SplitAt, sSplitAt, TakeWhile, sTakeWhile, Span, sSpan, Break, sBreak, -- ** Searching lists- Elem, sElem, NotElem, sNotElem, Lookup, sLookup,+ NotElem, sNotElem, Lookup, sLookup, -- ** Zipping and unzipping lists Zip, sZip, Zip3, sZip3, ZipWith, sZipWith, ZipWith3, sZipWith3, Unzip, sUnzip, Unzip3, sUnzip3,@@ -124,19 +146,64 @@ CurrySym0, CurrySym1, CurrySym2, CurrySym3, UncurrySym0, UncurrySym1, UncurrySym2, - ErrorSym0, ErrorSym1, UndefinedSym0,+ ErrorSym0, ErrorSym1,+ ErrorWithoutStackTraceSym0, ErrorWithoutStackTraceSym1,+ UndefinedSym0, + LTSym0, EQSym0, GTSym0,+ CompareSym0, CompareSym1, CompareSym2,+ type (<@#@$), type (<@#@$$), type (<@#@$$$),+ type (<=@#@$), type (<=@#@$$), type (<=@#@$$$),+ type (>@#@$), type (>@#@$$), type (>@#@$$$),+ type (>=@#@$), type (>=@#@$$), type (>=@#@$$$),+ MaxSym0, MaxSym1, MaxSym2,+ MinSym0, MinSym1, MinSym2,+ type (^@#@$), type (^@#@$$), type (^@#@$$$), ShowsPrecSym0, ShowsPrecSym1, ShowsPrecSym2, ShowsPrecSym3, Show_Sym0, Show_Sym1, ShowListSym0, ShowListSym1, ShowListSym2,- type (<>@#@$), type (<>@#@$$), type (<>@#@$$$), ShowsSym0, ShowsSym1, ShowsSym2, ShowCharSym0, ShowCharSym1, ShowCharSym2, ShowStringSym0, ShowStringSym1, ShowStringSym2, ShowParenSym0, ShowParenSym1, ShowParenSym2, + type (<>@#@$), type (<>@#@$$), type (<>@#@$$$),+ MemptySym0,+ MappendSym0, MappendSym1, MappendSym2,+ MconcatSym0, MconcatSym1,++ FmapSym0, FmapSym1, FmapSym2,+ type (<$@#@$), type (<$@#@$$), type (<$@#@$$$),+ type (<$>@#@$), type (<$>@#@$$), type (<$>@#@$$$),+ PureSym0, PureSym1,+ type (<*>@#@$), type (<*>@#@$$), type (<*>@#@$$$),+ type (*>@#@$), type (*>@#@$$), type (*>@#@$$$),+ type (<*@#@$), type (<*@#@$$), type (<*@#@$$$),+ type (>>=@#@$), type (>>=@#@$$), type (>>=@#@$$$),+ type (>>@#@$), type (>>@#@$$), type (>>@#@$$$),+ ReturnSym0, ReturnSym1, FailSym0, FailSym1,+ MapM_Sym0, MapM_Sym1, MapM_Sym2,+ Sequence_Sym0, Sequence_Sym1,+ type (=<<@#@$), type (=<<@#@$$), type (=<<@#@$$$),++ ElemSym0, ElemSym1, ElemSym2,+ FoldMapSym0, FoldMapSym1, FoldMapSym2,+ FoldrSym0, FoldrSym1, FoldrSym2, FoldrSym3,+ FoldlSym0, FoldlSym1, FoldlSym2, FoldlSym3,+ Foldr1Sym0, Foldr1Sym1, Foldr1Sym2,+ Foldl1Sym0, Foldl1Sym1, Foldl1Sym2,+ MaximumSym0, MaximumSym1,+ MinimumSym0, MinimumSym1,+ SumSym0, SumSym1,+ ProductSym0, ProductSym1,++ TraverseSym0, TraverseSym1, TraverseSym2,+ SequenceASym0, SequenceASym1,+ MapMSym0, MapMSym1, MapMSym2,+ SequenceSym0, SequenceSym1,+ IdSym0, IdSym1, ConstSym0, ConstSym1, ConstSym2, type (.@#@$), type (.@#@$$), type (.@#@$$$), type ($@#@$), type ($@#@$$), type ($@#@$$$),@@ -146,14 +213,10 @@ (:@#@$), (:@#@$$), (:@#@$$$), NilSym0, MapSym0, MapSym1, MapSym2, ReverseSym0, ReverseSym1,- type (++@#@$$), type (++@#@$), HeadSym0, HeadSym1, LastSym0, LastSym1,+ type (++@#@$$), type (++@#@$), FilterSym0, FilterSym1, FilterSym2,+ HeadSym0, HeadSym1, LastSym0, LastSym1, TailSym0, TailSym1, InitSym0, InitSym1, NullSym0, NullSym1, - FoldlSym0, FoldlSym1, FoldlSym2, FoldlSym3,- Foldl1Sym0, Foldl1Sym1, Foldl1Sym2,- FoldrSym0, FoldrSym1, FoldrSym2, FoldrSym3,- Foldr1Sym0, Foldr1Sym1, Foldr1Sym2,- ConcatSym0, ConcatSym1, ConcatMapSym0, ConcatMapSym1, ConcatMapSym2, AndSym0, AndSym1, OrSym0, OrSym1,@@ -176,7 +239,6 @@ SpanSym0, SpanSym1, SpanSym2, BreakSym0, BreakSym1, BreakSym2, - ElemSym0, ElemSym1, ElemSym2, NotElemSym0, NotElemSym1, NotElemSym2, ZipSym0, ZipSym1, ZipSym2,@@ -189,17 +251,29 @@ ) where import Data.Singletons+import Data.Singletons.Prelude.Applicative+ hiding (Const, ConstSym0, ConstSym1) import Data.Singletons.Prelude.Base+ hiding (Foldr, FoldrSym0, FoldrSym1, FoldrSym2, FoldrSym3, sFoldr) import Data.Singletons.Prelude.Bool import Data.Singletons.Prelude.Either+import Data.Singletons.Prelude.Foldable+import Data.Singletons.Prelude.Functor import Data.Singletons.Prelude.List import Data.Singletons.Prelude.Maybe+import Data.Singletons.Prelude.Monad import Data.Singletons.Prelude.Tuple import Data.Singletons.Prelude.Eq import Data.Singletons.Prelude.Ord-import Data.Singletons.Prelude.Instances import Data.Singletons.Prelude.Enum hiding (Succ, Pred, SuccSym0, SuccSym1, PredSym0, PredSym1, sSucc, sPred)+import Data.Singletons.Prelude.Monoid+ ( PMonoid(..), SMonoid(..), MemptySym0, MappendSym0+ , MappendSym1, MappendSym2, MconcatSym0, MconcatSym1 ) import Data.Singletons.Prelude.Num+import Data.Singletons.Prelude.Semigroup+ ( PSemigroup(..), SSemigroup(..)+ , type (<>@#@$), type (<>@#@$$), type (<>@#@$$$) ) import Data.Singletons.Prelude.Show+import Data.Singletons.Prelude.Traversable import Data.Singletons.TypeLits
+ src/Data/Singletons/Prelude/Applicative.hs view
@@ -0,0 +1,73 @@+{-# LANGUAGE DataKinds #-}+{-# LANGUAGE DefaultSignatures #-}+{-# LANGUAGE FlexibleInstances #-}+{-# LANGUAGE GADTs #-}+{-# LANGUAGE InstanceSigs #-}+{-# LANGUAGE PolyKinds #-}+{-# LANGUAGE ScopedTypeVariables #-}+{-# LANGUAGE TemplateHaskell #-}+{-# LANGUAGE TypeFamilies #-}+{-# LANGUAGE TypeOperators #-}+{-# LANGUAGE UndecidableInstances #-}+{-# OPTIONS_GHC -Wno-orphans #-}++-----------------------------------------------------------------------------+-- |+-- Module : Data.Singletons.Prelude.Applicative+-- Copyright : (C) 2018 Ryan Scott+-- License : BSD-style (see LICENSE)+-- Maintainer : Ryan Scott+-- Stability : experimental+-- Portability : non-portable+--+-- Defines the promoted and singled versions of the 'Applicative' type class.+--+----------------------------------------------------------------------------++module Data.Singletons.Prelude.Applicative (+ PApplicative(..), SApplicative(..),+ PAlternative(..), SAlternative(..),+ Sing (SConst, sGetConst), SConst, Const, GetConst,+ type (<$>), (%<$>), type (<$), (%<$), type (<**>), (%<**>),+ LiftA, sLiftA, LiftA3, sLiftA3, Optional, sOptional,++ -- * Defunctionalization symbols+ PureSym0, PureSym1,+ type (<*>@#@$), type (<*>@#@$$), type (<*>@#@$$$),+ type (*>@#@$), type (*>@#@$$), type (*>@#@$$$),+ type (<*@#@$), type (<*@#@$$), type (<*@#@$$$),+ EmptySym0, type (<|>@#@$), type (<|>@#@$$), type (<|>@#@$$$),+ ConstSym0, ConstSym1, GetConstSym0, GetConstSym1,+ type (<$>@#@$), type (<$>@#@$$), type (<$>@#@$$$),+ type (<$@#@$), type (<$@#@$$), type (<$@#@$$$),+ type (<**>@#@$), type (<**>@#@$$), type (<**>@#@$$$),+ LiftASym0, LiftASym1, LiftASym2,+ LiftA2Sym0, LiftA2Sym1, LiftA2Sym2, LiftA2Sym3,+ LiftA3Sym0, LiftA3Sym1, LiftA3Sym2, LiftA3Sym3,+ OptionalSym0, OptionalSym1+ ) where++import Control.Applicative+import Data.Ord (Down(..))+import Data.Singletons.Prelude.Const+import Data.Singletons.Prelude.Functor+import Data.Singletons.Prelude.Instances+import Data.Singletons.Prelude.Monad.Internal+import Data.Singletons.Prelude.Monoid+import Data.Singletons.Prelude.Ord+import Data.Singletons.Single++$(singletonsOnly [d|+ -- -| One or none.+ optional :: Alternative f => f a -> f (Maybe a)+ optional v = Just <$> v <|> pure Nothing++ instance Monoid a => Applicative ((,) a) where+ pure x = (mempty, x)+ (u, f) <*> (v, x) = (u `mappend` v, f x)+ liftA2 f (u, x) (v, y) = (u `mappend` v, f x y)++ instance Applicative Down where+ pure = Down+ Down f <*> Down x = Down (f x)+ |])
src/Data/Singletons/Prelude/Base.hs view
@@ -1,5 +1,5 @@-{-# LANGUAGE TemplateHaskell, KindSignatures, PolyKinds, TypeOperators,- DataKinds, ScopedTypeVariables, TypeFamilies, GADTs,+{-# LANGUAGE TemplateHaskell, TypeOperators, DataKinds, PolyKinds,+ ScopedTypeVariables, TypeFamilies, GADTs, UndecidableInstances, BangPatterns #-} -----------------------------------------------------------------------------@@ -25,7 +25,7 @@ -- * Basic functions Foldr, sFoldr, Map, sMap, type (++), (%++), Otherwise, sOtherwise, Id, sId, Const, sConst, (:.), (%.), type ($), type ($!), (%$), (%$!),- Flip, sFlip, AsTypeOf, sAsTypeOf,+ Until, sUntil, Flip, sFlip, AsTypeOf, sAsTypeOf, Seq, sSeq, -- * Defunctionalization symbols@@ -38,6 +38,7 @@ type (.@#@$), type (.@#@$$), type (.@#@$$$), type (.@#@$$$$), type ($@#@$), type ($@#@$$), type ($@#@$$$), type ($!@#@$), type ($!@#@$$), type ($!@#@$$$),+ UntilSym0, UntilSym1, UntilSym2, UntilSym3, FlipSym0, FlipSym1, FlipSym2, FlipSym3, AsTypeOfSym0, AsTypeOfSym1, AsTypeOfSym2, SeqSym0, SeqSym1, SeqSym2@@ -91,9 +92,24 @@ f $! x = let {-!-}vx = x in f vx infixr 0 $! + until :: (a -> Bool) -> (a -> a) -> a -> a+ until p f = go+ where+ -- Does not singletonize due to overlapping patterns.+ {-+ go x | p x = x+ | otherwise = go (f x)+ -}+ go x = if p x then x else go (f x)+ -- This is not part of GHC.Base, but we need to emulate seq and this is a good -- place to do it. seq :: a -> b -> b seq _ x = x infixr 0 `seq` |])++-- Workaround for #326+infixr 5 +++infixr 0 $+infixr 0 $!
src/Data/Singletons/Prelude/Bool.hs view
@@ -1,12 +1,13 @@-{-# LANGUAGE TemplateHaskell, DataKinds, PolyKinds, TypeFamilies, TypeOperators,- GADTs, ScopedTypeVariables, DeriveDataTypeable, UndecidableInstances #-}+{-# LANGUAGE TemplateHaskell, TypeApplications, TypeFamilies, TypeOperators,+ GADTs, ScopedTypeVariables, DeriveDataTypeable, UndecidableInstances,+ DataKinds, PolyKinds #-} ----------------------------------------------------------------------------- -- | -- Module : Data.Singletons.Prelude.Bool -- Copyright : (C) 2013-2014 Richard Eisenberg, Jan Stolarek -- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)+-- Maintainer : Ryan Scott -- Stability : experimental -- Portability : non-portable --@@ -77,6 +78,10 @@ STrue %&& a = a infixr 3 %&& $(genDefunSymbols [''(&&)])+instance SingI (&&@#@$) where+ sing = singFun2 (%&&)+instance SingI x => SingI ((&&@#@$$) x) where+ sing = singFun1 (sing @x %&&) -- | Disjunction of singletons (%||) :: Sing a -> Sing b -> Sing (a || b)@@ -84,12 +89,18 @@ STrue %|| _ = STrue infixr 2 %|| $(genDefunSymbols [''(||)])+instance SingI (||@#@$) where+ sing = singFun2 (%||)+instance SingI x => SingI ((||@#@$$) x) where+ sing = singFun1 (sing @x %||) -- | Negation of a singleton sNot :: Sing a -> Sing (Not a) sNot SFalse = STrue sNot STrue = SFalse $(genDefunSymbols [''Not])+instance SingI NotSym0 where+ sing = singFun1 sNot -- | Conditional over singletons sIf :: Sing a -> Sing b -> Sing c -> Sing (If a b c)
+ src/Data/Singletons/Prelude/Const.hs view
@@ -0,0 +1,141 @@+{-# LANGUAGE DataKinds #-}+{-# LANGUAGE FlexibleInstances #-}+{-# LANGUAGE GADTs #-}+{-# LANGUAGE InstanceSigs #-}+{-# LANGUAGE PolyKinds #-}+{-# LANGUAGE ScopedTypeVariables #-}+{-# LANGUAGE StandaloneDeriving #-}+{-# LANGUAGE TemplateHaskell #-}+{-# LANGUAGE TypeFamilies #-}+{-# LANGUAGE TypeOperators #-}+{-# LANGUAGE UndecidableInstances #-}+{-# OPTIONS_GHC -Wno-orphans #-}++-----------------------------------------------------------------------------+-- |+-- Module : Data.Singletons.Prelude.Const+-- Copyright : (C) 2018 Ryan Scott+-- License : BSD-style (see LICENSE)+-- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)+-- Stability : experimental+-- Portability : non-portable+--+-- Exports the promoted and singled versions of the 'Const' data type.+--+-----------------------------------------------------------------------------++module Data.Singletons.Prelude.Const (+ -- * The 'Const' singleton+ Sing(SConst, sGetConst),+ SConst, GetConst,++ -- * Defunctionalization symbols+ ConstSym0, ConstSym1,+ GetConstSym0, GetConstSym1+ ) where++import Control.Applicative+import Data.Kind (Type)+import Data.Singletons.Internal+import Data.Singletons.Prelude.Base+ hiding ( Const, ConstSym0, ConstSym1+ , Foldr, FoldrSym0, sFoldr )+import Data.Singletons.Prelude.Enum+import Data.Singletons.Prelude.Eq+import Data.Singletons.Prelude.Foldable+import Data.Singletons.Prelude.Instances hiding (FoldlSym0, sFoldl)+import Data.Singletons.Prelude.Monad.Internal+import Data.Singletons.Prelude.Monoid+import Data.Singletons.Prelude.Num+import Data.Singletons.Prelude.Ord+import Data.Singletons.Prelude.Semigroup.Internal+import Data.Singletons.Prelude.Show+import Data.Singletons.Promote+import Data.Singletons.Single++{-+Const's argument `b` is poly-kinded, and as a result, we have a choice as to+what Sing instance to give it. We could use either++1. data instance Sing :: forall (k :: Type) (a :: Type) (b :: k). Const a b -> Type+2. data instance Sing :: forall (a :: Type) (b :: Type). Const a b -> Type++Option (1) is the more permissive one, so we opt for that. However, singletons'+TH machinery does not jive with this option, since the SingKind instance it+tries to generate:++ instance (SingKind a, SingKind b) => SingKind (Const a b) where+ type Demote (Const a b) = Const (Demote a) (Demote b)++Assumes that `b` is of kind Type. Until we get a more reliable story for+poly-kinded Sing instances (see #150), we simply write the Sing instance by+hand.+-}+data instance Sing :: forall (k :: Type) (a :: Type) (b :: k). Const a b -> Type where+ SConst :: { sGetConst :: Sing a } -> Sing ('Const a)+type SConst = (Sing :: Const a b -> Type)+instance SingKind a => SingKind (Const a b) where+ type Demote (Const a b) = Const (Demote a) b+ fromSing (SConst sa) = Const (fromSing sa)+ toSing (Const a) = withSomeSing a $ SomeSing . SConst+instance SingI a => SingI ('Const a) where+ sing = SConst sing++$(genDefunSymbols [''Const])+instance SingI ConstSym0 where+ sing = singFun1 SConst+instance SingI (TyCon1 'Const) where+ sing = singFun1 SConst++$(singletons [d|+ type family GetConst (x :: Const a b) :: a where+ GetConst ('Const x) = x+ |])++$(singletonsOnly [d|+ deriving instance Bounded a => Bounded (Const a b)+ deriving instance Eq a => Eq (Const a b)+ deriving instance Ord a => Ord (Const a b)++ -- deriving instance Enum a => Enum (Const a b)+ instance Enum a => Enum (Const a b) where+ succ (Const x) = Const (succ x)+ pred (Const x) = Const (pred x)+ toEnum i = Const (toEnum i)+ fromEnum (Const x) = fromEnum x+ enumFromTo (Const x) (Const y) = map Const (enumFromTo x y)+ enumFromThenTo (Const x) (Const y) (Const z) =+ map Const (enumFromThenTo x y z)++ -- deriving instance Monoid a => Monoid (Const a b)+ instance Monoid a => Monoid (Const a b) where+ mempty = Const mempty++ -- deriving instance Num a => Num (Const a b)+ instance Num a => Num (Const a b) where+ Const x + Const y = Const (x + y)+ Const x - Const y = Const (x - y)+ Const x * Const y = Const (x * y)+ negate (Const x) = Const (negate x)+ abs (Const x) = Const (abs x)+ signum (Const x) = Const (signum x)+ fromInteger n = Const (fromInteger n)++ -- deriving instance Semigroup a => Semigroup (Const a b)+ instance Semigroup a => Semigroup (Const a b) where+ Const x <> Const y = Const (x <> y)++ -- -| This instance would be equivalent to the derived instances of the+ -- 'Const' newtype if the 'runConst' field were removed+ instance Show a => Show (Const a b) where+ showsPrec d (Const x) = showParen (d > 10) $+ showString "Const " . showsPrec 11 x++ deriving instance Functor (Const m)+ deriving instance Foldable (Const m)++ instance Monoid m => Applicative (Const m) where+ pure _ = Const mempty+ liftA2 _ (Const x) (Const y) = Const (x `mappend` y)+ Const x <*> Const y = Const (x `mappend` y)+ |])
src/Data/Singletons/Prelude/Either.hs view
@@ -1,12 +1,12 @@ {-# LANGUAGE TemplateHaskell, ScopedTypeVariables, TypeFamilies, GADTs,- DataKinds, PolyKinds, RankNTypes, UndecidableInstances #-}+ RankNTypes, UndecidableInstances, DataKinds, PolyKinds #-} ----------------------------------------------------------------------------- -- | -- Module : Data.Singletons.Prelude.Either -- Copyright : (C) 2013-2014 Richard Eisenberg, Jan Stolarek -- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)+-- Maintainer : Ryan Scott -- Stability : experimental -- Portability : non-portable --@@ -52,8 +52,8 @@ ) where import Data.Singletons.Prelude.Instances-import Data.Singletons.TH import Data.Singletons.Prelude.Base+import Data.Singletons.Single -- NB: The haddock comments are disabled because TH can't deal with them.
src/Data/Singletons/Prelude/Enum.hs view
@@ -1,6 +1,6 @@ {-# LANGUAGE TemplateHaskell, DataKinds, PolyKinds, ScopedTypeVariables, TypeFamilies, TypeOperators, GADTs, UndecidableInstances,- FlexibleContexts, DefaultSignatures, BangPatterns, TypeInType,+ FlexibleContexts, DefaultSignatures, BangPatterns, InstanceSigs #-} -----------------------------------------------------------------------------
src/Data/Singletons/Prelude/Eq.hs view
@@ -1,13 +1,14 @@-{-# LANGUAGE TypeOperators, DataKinds, PolyKinds, TypeFamilies, TypeInType,+{-# LANGUAGE TypeOperators, DataKinds, PolyKinds, TypeFamilies, RankNTypes, FlexibleContexts, TemplateHaskell,- UndecidableInstances, GADTs, DefaultSignatures #-}+ UndecidableInstances, GADTs, DefaultSignatures,+ ScopedTypeVariables, TypeApplications #-} ----------------------------------------------------------------------------- -- | -- Module : Data.Singletons.Prelude.Eq -- Copyright : (C) 2013 Richard Eisenberg -- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)+-- Maintainer : Ryan Scott -- Stability : experimental -- Portability : non-portable --@@ -17,34 +18,50 @@ module Data.Singletons.Prelude.Eq ( PEq(..), SEq(..),+ DefaultEq,++ -- * Defunctionalization symbols type (==@#@$), type (==@#@$$), type (==@#@$$$),- type (/=@#@$), type (/=@#@$$), type (/=@#@$$$)+ type (/=@#@$), type (/=@#@$$), type (/=@#@$$$),+ DefaultEqSym0, DefaultEqSym1, DefaultEqSym2 ) where +import Data.Singletons.Internal import Data.Singletons.Prelude.Bool import Data.Singletons.Single import Data.Singletons.Prelude.Instances import Data.Singletons.Util import Data.Singletons.Promote-import qualified Data.Type.Equality as DTE+import qualified Data.Type.Equality as DTE () -- NB: These must be defined by hand because of the custom handling of the--- default for (==) to use Data.Type.Equality.==+-- default for (==) to use DefaultEq -- | The promoted analogue of 'Eq'. If you supply no definition for '(==)',--- then it defaults to a use of '(DTE.==)', from "Data.Type.Equality".+-- then it defaults to a use of 'DefaultEq'. class PEq a where type (==) (x :: a) (y :: a) :: Bool type (/=) (x :: a) (y :: a) :: Bool - type (x :: a) == (y :: a) = x DTE.== y+ type (x :: a) == (y :: a) = x `DefaultEq` y type (x :: a) /= (y :: a) = Not (x == y) -infix 4 ==-infix 4 /=+ infix 4 ==+ infix 4 /= -$(genDefunSymbols [''(==), ''(/=)])+-- | A sensible way to compute Boolean equality for types of any kind. Note+-- that this definition is slightly different from the '(DTE.==)' type family+-- from "Data.Type.Equality" in @base@, as '(DTE.==)' attempts to distinguish+-- applications of type constructors from other types. As a result,+-- @a == a@ does not reduce to 'True' for every @a@, but @'DefaultEq' a a@+-- /does/ reduce to 'True' for every @a@. The latter behavior is more desirable+-- for @singletons@' purposes, so we use it instead of '(DTE.==)'.+type family DefaultEq (a :: k) (b :: k) :: Bool where+ DefaultEq a a = 'True+ DefaultEq a b = 'False +$(genDefunSymbols [''(==), ''(/=), ''DefaultEq])+ -- | The singleton analogue of 'Eq'. Unlike the definition for 'Eq', it is required -- that instances define a body for '(%==)'. You may also supply a body for '(%/=)'. class SEq k where@@ -61,3 +78,13 @@ infix 4 %/= $(singEqInstances basicTypes)++instance SEq a => SingI ((==@#@$) :: a ~> a ~> Bool) where+ sing = singFun2 (%==)+instance (SEq a, SingI x) => SingI ((==@#@$$) x :: a ~> Bool) where+ sing = singFun1 (sing @x %==)++instance SEq a => SingI ((/=@#@$) :: a ~> a ~> Bool) where+ sing = singFun2 (%/=)+instance (SEq a, SingI x) => SingI ((/=@#@$$) x :: a ~> Bool) where+ sing = singFun1 (sing @x %/=)
+ src/Data/Singletons/Prelude/Foldable.hs view
@@ -0,0 +1,645 @@+{-# LANGUAGE DataKinds #-}+{-# LANGUAGE DefaultSignatures #-}+{-# LANGUAGE FlexibleInstances #-}+{-# LANGUAGE GADTs #-}+{-# LANGUAGE InstanceSigs #-}+{-# LANGUAGE PolyKinds #-}+{-# LANGUAGE ScopedTypeVariables #-}+{-# LANGUAGE StandaloneDeriving #-}+{-# LANGUAGE TemplateHaskell #-}+{-# LANGUAGE TypeFamilies #-}+{-# LANGUAGE TypeOperators #-}+{-# LANGUAGE UndecidableInstances #-}+-----------------------------------------------------------------------------+-- |+-- Module : Data.Singletons.Prelude.Foldable+-- Copyright : (C) 2018 Ryan Scott+-- License : BSD-style (see LICENSE)+-- Maintainer : Ryan Scott+-- Stability : experimental+-- Portability : non-portable+--+-- Defines the promoted and singled versions of the 'Foldable' type class.+--+----------------------------------------------------------------------------++module Data.Singletons.Prelude.Foldable (+ PFoldable(..), SFoldable(..),++ FoldrM, sFoldrM,+ FoldlM, sFoldlM,++ Traverse_, sTraverse_,+ For_, sFor_,+ SequenceA_, sSequenceA_,+ Asum, sAsum,++ MapM_, sMapM_,+ ForM_, sForM_,+ Sequence_, sSequence_,+ Msum, sMsum,++ Concat, sConcat,+ ConcatMap, sConcatMap,+ And, sAnd,+ Or, sOr,+ Any, sAny,+ All, sAll,+ MaximumBy, sMaximumBy,+ MinimumBy, sMinimumBy,++ NotElem, sNotElem,+ Find, sFind,++ -- * Defunctionalization symbols+ FoldSym0, FoldSym1,+ FoldMapSym0, FoldMapSym1, FoldMapSym2,+ FoldrSym0, FoldrSym1, FoldrSym2, FoldrSym3,+ Foldr'Sym0, Foldr'Sym1, Foldr'Sym2, Foldr'Sym3,+ FoldlSym0, FoldlSym1, FoldlSym2, FoldlSym3,+ Foldl'Sym0, Foldl'Sym1, Foldl'Sym2, Foldl'Sym3,+ Foldr1Sym0, Foldr1Sym1, Foldr1Sym2,+ Foldl1Sym0, Foldl1Sym1, Foldl1Sym2,+ ToListSym0, ToListSym1,+ NullSym0, NullSym1,+ LengthSym0, LengthSym1,+ ElemSym0, ElemSym1, ElemSym2,+ MaximumSym0, MaximumSym1,+ MinimumSym0, MinimumSym1,+ SumSym0, SumSym1,+ ProductSym0, ProductSym1,++ FoldrMSym0, FoldrMSym1, FoldrMSym2, FoldrMSym3,+ FoldlMSym0, FoldlMSym1, FoldlMSym2, FoldlMSym3,++ Traverse_Sym0, Traverse_Sym1, Traverse_Sym2,+ For_Sym0, For_Sym1, For_Sym2,+ SequenceA_Sym0, SequenceA_Sym1,+ AsumSym0, AsumSym1,++ MapM_Sym0, MapM_Sym1, MapM_Sym2,+ ForM_Sym0, ForM_Sym1, ForM_Sym2,+ Sequence_Sym0, Sequence_Sym1,+ MsumSym0, MsumSym1,++ ConcatSym0, ConcatSym1,+ ConcatMapSym0, ConcatMapSym1, ConcatMapSym2,+ AndSym0, AndSym1,+ OrSym0, OrSym1,+ AnySym0, AnySym1, AnySym2,+ AllSym0, AllSym1, AllSym2,+ MaximumBySym0, MaximumBySym1, MaximumBySym2,+ MinimumBySym0, MinimumBySym1, MinimumBySym2,++ NotElemSym0, NotElemSym1, NotElemSym2,+ FindSym0, FindSym1, FindSym2+ ) where++import Control.Applicative+import Control.Monad+import Data.Kind+import Data.List.NonEmpty (NonEmpty(..))+import Data.Monoid hiding (All(..), Any(..), Endo(..), Product(..), Sum(..))+import qualified Data.Monoid as Monoid (All(..), Any(..), Product(..), Sum(..))+import Data.Singletons.Internal+import Data.Singletons.Prelude.Base+ hiding (Foldr, FoldrSym0, FoldrSym1, FoldrSym2, FoldrSym3, sFoldr)+import Data.Singletons.Prelude.Bool+import Data.Singletons.Prelude.Either+import Data.Singletons.Prelude.Eq+import Data.Singletons.Prelude.Instances (Sing(..), type (:@#@$))+import Data.Singletons.Prelude.List.Internal.Disambiguation+import Data.Singletons.Prelude.Maybe+import Data.Singletons.Prelude.Monad.Internal+import Data.Singletons.Prelude.Monoid+ hiding ( AllSym0, AllSym1+ , AnySym0, AnySym1+ , ProductSym0, ProductSym1+ , SumSym0, SumSym1 )+import Data.Singletons.Prelude.Num+import Data.Singletons.Prelude.Ord+ hiding ( Max, MaxSym0, MaxSym1, MaxSym2, sMax+ , Min, MinSym0, MinSym1, MinSym2, sMin )+import Data.Singletons.Prelude.Semigroup.Internal+ hiding ( AllSym0(..), AllSym1, SAll+ , AnySym0(..), AnySym1, SAny+ , FirstSym0, FirstSym1, SFirst+ , LastSym0, LastSym1, SLast+ , ProductSym0(..), ProductSym1, SProduct+ , SumSym0(..), SumSym1, SSum )+import Data.Singletons.Promote+import Data.Singletons.Single+import Data.Singletons.TypeLits.Internal++newtype Endo a = Endo (a ~> a)+data instance Sing :: forall a. Endo a -> Type where+ SEndo :: Sing x -> Sing ('Endo x)+data EndoSym0 :: forall a. (a ~> a) ~> Endo a+type instance Apply EndoSym0 x = 'Endo x++$(singletonsOnly [d|+ instance Semigroup (Endo a) where+ Endo x <> Endo y = Endo (x . y)++ instance Monoid (Endo a) where+ mempty = Endo id+ |])++newtype MaxInternal a = MaxInternal (Maybe a)+data instance Sing :: forall a. MaxInternal a -> Type where+ SMaxInternal :: Sing x -> Sing ('MaxInternal x)+$(genDefunSymbols [''MaxInternal])++newtype MinInternal a = MinInternal (Maybe a)+data instance Sing :: forall a. MinInternal a -> Type where+ SMinInternal :: Sing x -> Sing ('MinInternal x)+$(genDefunSymbols [''MinInternal])++$(singletonsOnly [d|+ instance Ord a => Semigroup (MaxInternal a) where+ m <> MaxInternal Nothing = m+ MaxInternal Nothing <> n = n+ (MaxInternal m@(Just x)) <> (MaxInternal n@(Just y))+ = if x >= y then MaxInternal m else MaxInternal n++ instance Ord a => Monoid (MaxInternal a) where+ mempty = MaxInternal Nothing++ instance Ord a => Semigroup (MinInternal a) where+ m <> MinInternal Nothing = m+ MinInternal Nothing <> n = n+ (MinInternal m@(Just x)) <> (MinInternal n@(Just y))+ = if x <= y then MinInternal m else MinInternal n++ instance Ord a => Monoid (MinInternal a) where+ mempty = MinInternal Nothing+ |])++$(singletonsOnly [d|+ -- -| Data structures that can be folded.+ --+ -- For example, given a data type+ --+ -- > data Tree a = Empty | Leaf a | Node (Tree a) a (Tree a)+ --+ -- a suitable instance would be+ --+ -- > instance Foldable Tree where+ -- > foldMap f Empty = mempty+ -- > foldMap f (Leaf x) = f x+ -- > foldMap f (Node l k r) = foldMap f l `mappend` f k `mappend` foldMap f r+ --+ -- This is suitable even for abstract types, as the monoid is assumed+ -- to satisfy the monoid laws. Alternatively, one could define @foldr@:+ --+ -- > instance Foldable Tree where+ -- > foldr f z Empty = z+ -- > foldr f z (Leaf x) = f x z+ -- > foldr f z (Node l k r) = foldr f (f k (foldr f z r)) l+ --+ -- @Foldable@ instances are expected to satisfy the following laws:+ --+ -- > foldr f z t = appEndo (foldMap (Endo . f) t ) z+ --+ -- > foldl f z t = appEndo (getDual (foldMap (Dual . Endo . flip f) t)) z+ --+ -- > fold = foldMap id+ --+ -- > length = getSum . foldMap (Sum . const 1)+ --+ -- @sum@, @product@, @maximum@, and @minimum@ should all be essentially+ -- equivalent to @foldMap@ forms, such as+ --+ -- > sum = getSum . foldMap Sum+ --+ -- but may be less defined.+ --+ -- If the type is also a 'Functor' instance, it should satisfy+ --+ -- > foldMap f = fold . fmap f+ --+ -- which implies that+ --+ -- > foldMap f . fmap g = foldMap (f . g)++ class Foldable (t :: Type -> Type) where+ -- {-# MINIMAL foldMap | foldr #-}++ -- -| Combine the elements of a structure using a monoid.+ fold :: Monoid m => t m -> m+ fold = foldMap id++ -- -| Map each element of the structure to a monoid,+ -- and combine the results.+ foldMap :: Monoid m => (a -> m) -> t a -> m+ foldMap f = foldr (mappend . f) mempty++ -- -| Right-associative fold of a structure.+ --+ -- In the case of lists, 'foldr', when applied to a binary operator, a+ -- starting value (typically the right-identity of the operator), and a+ -- list, reduces the list using the binary operator, from right to left:+ --+ -- > foldr f z [x1, x2, ..., xn] == x1 `f` (x2 `f` ... (xn `f` z)...)+ --+ -- Note that, since the head of the resulting expression is produced by+ -- an application of the operator to the first element of the list,+ -- 'foldr' can produce a terminating expression from an infinite list.+ --+ -- For a general 'Foldable' structure this should be semantically identical+ -- to,+ --+ -- @foldr f z = 'List.foldr' f z . 'toList'@+ --+ foldr :: (a -> b -> b) -> b -> t a -> b+ foldr f z t = case foldMap (Endo . f) t of+ Endo g -> g z++ -- -| Right-associative fold of a structure, but with strict application of+ -- the operator.+ --+ foldr' :: (a -> b -> b) -> b -> t a -> b+ foldr' f z0 xs = foldl f' id xs z0+ where f' k x z = k $! f x z++ -- -| Left-associative fold of a structure.+ --+ -- In the case of lists, 'foldl', when applied to a binary+ -- operator, a starting value (typically the left-identity of the operator),+ -- and a list, reduces the list using the binary operator, from left to+ -- right:+ --+ -- > foldl f z [x1, x2, ..., xn] == (...((z `f` x1) `f` x2) `f`...) `f` xn+ --+ -- Note that to produce the outermost application of the operator the+ -- entire input list must be traversed. This means that 'foldl'' will+ -- diverge if given an infinite list.+ --+ -- Also note that if you want an efficient left-fold, you probably want to+ -- use 'foldl'' instead of 'foldl'. The reason for this is that latter does+ -- not force the "inner" results (e.g. @z `f` x1@ in the above example)+ -- before applying them to the operator (e.g. to @(`f` x2)@). This results+ -- in a thunk chain @O(n)@ elements long, which then must be evaluated from+ -- the outside-in.+ --+ -- For a general 'Foldable' structure this should be semantically identical+ -- to,+ --+ -- @foldl f z = 'List.foldl' f z . 'toList'@+ --+ foldl :: (b -> a -> b) -> b -> t a -> b+ foldl f z t = case foldMap (Dual . Endo . flip f) t of+ Dual (Endo g) -> g z+ -- There's no point mucking around with coercions here,+ -- because flip forces us to build a new function anyway.++ -- -| Left-associative fold of a structure but with strict application of+ -- the operator.+ --+ -- This ensures that each step of the fold is forced to weak head normal+ -- form before being applied, avoiding the collection of thunks that would+ -- otherwise occur. This is often what you want to strictly reduce a finite+ -- list to a single, monolithic result (e.g. 'length').+ --+ -- For a general 'Foldable' structure this should be semantically identical+ -- to,+ --+ -- @foldl f z = 'List.foldl'' f z . 'toList'@+ --+ foldl' :: (b -> a -> b) -> b -> t a -> b+ foldl' f z0 xs = foldr f' id xs z0+ where f' x k z = k $! f z x++ -- -| A variant of 'foldr' that has no base case,+ -- and thus may only be applied to non-empty structures.+ --+ -- @'foldr1' f = 'List.foldr1' f . 'toList'@+ foldr1 :: (a -> a -> a) -> t a -> a+ foldr1 f xs = fromMaybe (errorWithoutStackTrace "foldr1: empty structure")+ (foldr mf Nothing xs)+ where+ mf x m = Just (case m of+ Nothing -> x+ Just y -> f x y)++ -- -| A variant of 'foldl' that has no base case,+ -- and thus may only be applied to non-empty structures.+ --+ -- @'foldl1' f = 'List.foldl1' f . 'toList'@+ foldl1 :: (a -> a -> a) -> t a -> a+ foldl1 f xs = fromMaybe (errorWithoutStackTrace "foldl1: empty structure")+ (foldl mf Nothing xs)+ where+ mf m y = Just (case m of+ Nothing -> y+ Just x -> f x y)++ -- -| List of elements of a structure, from left to right.+ toList :: t a -> [a]+ toList = foldr (:) []++ -- -| Test whether the structure is empty. The default implementation is+ -- optimized for structures that are similar to cons-lists, because there+ -- is no general way to do better.+ null :: t a -> Bool+ null = foldr (\_ _ -> False) True++ -- -| Returns the size/length of a finite structure as an 'Int'. The+ -- default implementation is optimized for structures that are similar to+ -- cons-lists, because there is no general way to do better.+ length :: t a -> Nat+ length = foldl' (\c _ -> c+1) 0++ -- -| Does the element occur in the structure?+ elem :: Eq a => a -> t a -> Bool+ elem = any . (==)++ -- -| The largest element of a non-empty structure.+ maximum :: forall a . Ord a => t a -> a+ maximum x =+ case foldMap (MaxInternal . Just) x of+ MaxInternal y -> fromMaybe (errorWithoutStackTrace "maximum: empty structure") y++ -- -| The least element of a non-empty structure.+ minimum :: forall a . Ord a => t a -> a+ minimum x =+ case foldMap (MinInternal . Just) x of+ MinInternal y -> fromMaybe (errorWithoutStackTrace "minimum: empty structure") y++ -- -| The 'sum' function computes the sum of the numbers of a structure.+ sum :: Num a => t a -> a+ sum x = case foldMap sum_ x of+ Monoid.Sum y -> y++ -- -| The 'product' function computes the product of the numbers of a+ -- structure.+ product :: Num a => t a -> a+ product x = case foldMap product_ x of+ Monoid.Product y -> y++ -- instances for Prelude types++ instance Foldable Maybe where+ foldMap = maybe_ mempty++ foldr _ z Nothing = z+ foldr f z (Just x) = f x z++ foldl _ z Nothing = z+ foldl f z (Just x) = f z x++ instance Foldable [] where+ elem = listelem+ foldl = listfoldl+ foldl' = listfoldl'+ foldl1 = listfoldl1+ foldr = listfoldr+ foldr1 = listfoldr1+ length = listlength+ maximum = listmaximum+ minimum = listminimum+ null = listnull+ product = listproduct+ sum = listsum+ toList = id++ instance Foldable NonEmpty where+ foldr f z (a :| as) = f a (listfoldr f z as)+ foldl f z (a :| as) = listfoldl f (f z a) as+ foldl1 f (a :| as) = listfoldl f a as++ -- GHC isn't clever enough to transform the default definition+ -- into anything like this, so we'd end up shuffling a bunch of+ -- Maybes around.+ foldr1 f (p :| ps) = foldr go id ps p+ where+ go x r prev = f prev (r x)++ -- We used to say+ --+ -- length (_ :| as) = 1 + length as+ --+ -- but the default definition is better, counting from 1.+ --+ -- The default definition also works great for null and foldl'.+ -- As usual for cons lists, foldr' is basically hopeless.++ foldMap f (a :| as) = f a `mappend` foldMap f as+ fold (m :| ms) = m `mappend` fold ms+ toList (a :| as) = a : as++ instance Foldable (Either a) where+ foldMap _ (Left _) = mempty+ foldMap f (Right y) = f y++ foldr _ z (Left _) = z+ foldr f z (Right y) = f y z++ length (Left _) = 0+ length (Right _) = 1++ null = isLeft++ instance Foldable Dual where+ foldMap f (Dual x) = f x++ elem x (Dual y) = x == y+ foldl f z (Dual x) = f z x+ foldl' f z (Dual x) = f z x+ foldl1 _ (Dual x) = x+ foldr f z (Dual x) = f x z+ foldr' = foldr+ foldr1 _ (Dual x) = x+ length _ = 1+ maximum (Dual x) = x+ minimum (Dual x) = x+ null _ = False+ product (Dual x) = x+ sum (Dual x) = x+ toList (Dual x) = [x]++ instance Foldable Monoid.Sum where+ foldMap f (Monoid.Sum x) = f x++ elem x (Monoid.Sum y) = x == y+ foldl f z (Monoid.Sum x) = f z x+ foldl' f z (Monoid.Sum x) = f z x+ foldl1 _ (Monoid.Sum x) = x+ foldr f z (Monoid.Sum x) = f x z+ foldr' = foldr+ foldr1 _ (Monoid.Sum x) = x+ length _ = 1+ maximum (Monoid.Sum x) = x+ minimum (Monoid.Sum x) = x+ null _ = False+ product (Monoid.Sum x) = x+ sum (Monoid.Sum x) = x+ toList (Monoid.Sum x) = [x]++ instance Foldable Monoid.Product where+ foldMap f (Monoid.Product x) = f x++ elem x (Monoid.Product y) = x == y+ foldl f z (Monoid.Product x) = f z x+ foldl' f z (Monoid.Product x) = f z x+ foldl1 _ (Monoid.Product x) = x+ foldr f z (Monoid.Product x) = f x z+ foldr' = foldr+ foldr1 _ (Monoid.Product x) = x+ length _ = 1+ maximum (Monoid.Product x) = x+ minimum (Monoid.Product x) = x+ null _ = False+ product (Monoid.Product x) = x+ sum (Monoid.Product x) = x+ toList (Monoid.Product x) = [x]++ -- -| Monadic fold over the elements of a structure,+ -- associating to the right, i.e. from right to left.+ foldrM :: (Foldable t, Monad m) => (a -> b -> m b) -> b -> t a -> m b+ foldrM f z0 xs = foldl f' return xs z0+ where f' k x z = f x z >>= k++ -- -| Monadic fold over the elements of a structure,+ -- associating to the left, i.e. from left to right.+ foldlM :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m b+ foldlM f z0 xs = foldr f' return xs z0+ where f' x k z = f z x >>= k++ -- -| Map each element of a structure to an action, evaluate these+ -- actions from left to right, and ignore the results. For a version+ -- that doesn't ignore the results see 'Data.Traversable.traverse'.+ traverse_ :: (Foldable t, Applicative f) => (a -> f b) -> t a -> f ()+ traverse_ f = foldr ((*>) . f) (pure ())++ -- -| 'for_' is 'traverse_' with its arguments flipped. For a version+ -- that doesn't ignore the results see 'Data.Traversable.for'.+ --+ -- >>> for_ [1..4] print+ -- 1+ -- 2+ -- 3+ -- 4+ for_ :: (Foldable t, Applicative f) => t a -> (a -> f b) -> f ()+ for_ = flip traverse_++ -- -| Map each element of a structure to a monadic action, evaluate+ -- these actions from left to right, and ignore the results. For a+ -- version that doesn't ignore the results see+ -- 'Data.Traversable.mapM'.+ --+ -- As of base 4.8.0.0, 'mapM_' is just 'traverse_', specialized to+ -- 'Monad'.+ mapM_ :: (Foldable t, Monad m) => (a -> m b) -> t a -> m ()+ mapM_ f= foldr ((>>) . f) (return ())++ -- -| 'forM_' is 'mapM_' with its arguments flipped. For a version that+ -- doesn't ignore the results see 'Data.Traversable.forM'.+ --+ -- As of base 4.8.0.0, 'forM_' is just 'for_', specialized to 'Monad'.+ forM_ :: (Foldable t, Monad m) => t a -> (a -> m b) -> m ()+ forM_ = flip mapM_++ -- -| Evaluate each action in the structure from left to right, and+ -- ignore the results. For a version that doesn't ignore the results+ -- see 'Data.Traversable.sequenceA'.+ sequenceA_ :: (Foldable t, Applicative f) => t (f a) -> f ()+ sequenceA_ = foldr (*>) (pure ())++ -- -| Evaluate each monadic action in the structure from left to right,+ -- and ignore the results. For a version that doesn't ignore the+ -- results see 'Data.Traversable.sequence'.+ --+ -- As of base 4.8.0.0, 'sequence_' is just 'sequenceA_', specialized+ -- to 'Monad'.+ sequence_ :: (Foldable t, Monad m) => t (m a) -> m ()+ sequence_ = foldr (>>) (return ())++ -- -| The sum of a collection of actions, generalizing 'concat'.+ --+ -- asum [Just "Hello", Nothing, Just "World"]+ -- Just "Hello"+ asum :: (Foldable t, Alternative f) => t (f a) -> f a+ asum = foldr (<|>) empty++ -- -| The sum of a collection of actions, generalizing 'concat'.+ -- As of base 4.8.0.0, 'msum' is just 'asum', specialized to 'MonadPlus'.+ msum :: (Foldable t, MonadPlus m) => t (m a) -> m a+ msum = asum++ -- -| The concatenation of all the elements of a container of lists.+ concat :: Foldable t => t [a] -> [a]+ concat xs = foldr (\x y -> foldr (:) y x) [] xs++ -- -| Map a function over all the elements of a container and concatenate+ -- the resulting lists.+ concatMap :: Foldable t => (a -> [b]) -> t a -> [b]+ concatMap f xs = foldr (\x b -> foldr (:) b (f x)) [] xs++ -- These use foldr rather than foldMap to avoid repeated concatenation.++ -- -| 'and' returns the conjunction of a container of Bools. For the+ -- result to be 'True', the container must be finite; 'False', however,+ -- results from a 'False' value finitely far from the left end.+ and :: Foldable t => t Bool -> Bool+ and x = case foldMap all_ x of+ Monoid.All y -> y++ -- -| 'or' returns the disjunction of a container of Bools. For the+ -- result to be 'False', the container must be finite; 'True', however,+ -- results from a 'True' value finitely far from the left end.+ or :: Foldable t => t Bool -> Bool+ or x = case foldMap any_ x of+ Monoid.Any y -> y++ -- -| Determines whether any element of the structure satisfies the predicate.+ any :: Foldable t => (a -> Bool) -> t a -> Bool+ any p x = case foldMap (any_ . p) x of+ Monoid.Any y -> y++ -- -| Determines whether all elements of the structure satisfy the predicate.+ all :: Foldable t => (a -> Bool) -> t a -> Bool+ all p x = case foldMap (all_ . p) x of+ Monoid.All y -> y++ -- -| The largest element of a non-empty structure with respect to the+ -- given comparison function.++ -- See Note [maximumBy/minimumBy space usage]+ maximumBy :: Foldable t => (a -> a -> Ordering) -> t a -> a+ maximumBy cmp = foldl1 max'+ where max' x y = case cmp x y of+ GT -> x+ LT -> y+ EQ -> y++ -- -| The least element of a non-empty structure with respect to the+ -- given comparison function.++ -- See Note [maximumBy/minimumBy space usage]+ minimumBy :: Foldable t => (a -> a -> Ordering) -> t a -> a+ minimumBy cmp = foldl1 min'+ where min' x y = case cmp x y of+ GT -> y+ LT -> x+ EQ -> x++ -- -| 'notElem' is the negation of 'elem'.+ notElem :: (Foldable t, Eq a) => a -> t a -> Bool+ notElem x = not . elem x++ -- -| The 'find' function takes a predicate and a structure and returns+ -- the leftmost element of the structure matching the predicate, or+ -- 'Nothing' if there is no such element.+ find :: Foldable t => (a -> Bool) -> t a -> Maybe a+ find p y = case foldMap (\ x -> First (if p x then Just x else Nothing)) y of+ First z -> z+ |])++$(singletonsOnly [d|+ -- instances for Prelude types (part 2)++ deriving instance Foldable ((,) a)+ deriving instance Foldable First+ deriving instance Foldable Last+ |])
src/Data/Singletons/Prelude/Function.hs view
@@ -3,7 +3,7 @@ -- Module : Data.Singletons.Prelude.Function -- Copyright : (C) 2016 Richard Eisenberg -- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)+-- Maintainer : Ryan Scott -- Stability : experimental -- Portability : non-portable --@@ -17,8 +17,9 @@ -- ---------------------------------------------------------------------------- -{-# LANGUAGE TemplateHaskell, ScopedTypeVariables, TypeInType, TypeFamilies,- TypeOperators, UndecidableInstances, GADTs #-}+{-# LANGUAGE TemplateHaskell, ScopedTypeVariables, TypeFamilies,+ TypeOperators, UndecidableInstances, GADTs,+ DataKinds, PolyKinds #-} module Data.Singletons.Prelude.Function ( -- * "Prelude" re-exports@@ -113,3 +114,6 @@ x & f = f x infixl 1 & |])++-- Workaround for #326+infixl 1 &
+ src/Data/Singletons/Prelude/Functor.hs view
@@ -0,0 +1,206 @@+{-# LANGUAGE DataKinds #-}+{-# LANGUAGE DefaultSignatures #-}+{-# LANGUAGE FlexibleInstances #-}+{-# LANGUAGE GADTs #-}+{-# LANGUAGE InstanceSigs #-}+{-# LANGUAGE PolyKinds #-}+{-# LANGUAGE ScopedTypeVariables #-}+{-# LANGUAGE StandaloneDeriving #-}+{-# LANGUAGE TemplateHaskell #-}+{-# LANGUAGE TypeFamilies #-}+{-# LANGUAGE TypeOperators #-}+{-# LANGUAGE UndecidableInstances #-}+{-# OPTIONS_GHC -Wno-orphans #-}++-----------------------------------------------------------------------------+-- |+-- Module : Data.Singletons.Prelude.Functor+-- Copyright : (C) 2018 Ryan Scott+-- License : BSD-style (see LICENSE)+-- Maintainer : Ryan Scott+-- Stability : experimental+-- Portability : non-portable+--+-- Defines the promoted and singled versions of the 'Functor' type class.+--+----------------------------------------------------------------------------++module Data.Singletons.Prelude.Functor (+ PFunctor(..), SFunctor(..),+ type ($>), (%$>),+ type (<$>), (%<$>),+ type (<&>), (%<&>),+ Void, sVoid,++ -- * Defunctionalization symbols+ FmapSym0, FmapSym1, FmapSym2,+ type (<$@#@$), type (<$@#@$$), type (<$@#@$$$),+ type ($>@#@$), type ($>@#@$$), type ($>@#@$$$),+ type (<$>@#@$), type (<$>@#@$$), type (<$>@#@$$$),+ type (<&>@#@$), type (<&>@#@$$), type (<&>@#@$$$),+ VoidSym0, VoidSym1+ ) where++import Data.Ord (Down(..))+import Data.Singletons.Prelude.Base+import Data.Singletons.Prelude.Instances+import Data.Singletons.Prelude.Monad.Internal+import Data.Singletons.Prelude.Ord+import Data.Singletons.Single++$(singletonsOnly [d|+ infixl 4 <$>++ -- -| An infix synonym for 'fmap'.+ --+ -- The name of this operator is an allusion to '$'.+ -- Note the similarities between their types:+ --+ -- > ($) :: (a -> b) -> a -> b+ -- > (<$>) :: Functor f => (a -> b) -> f a -> f b+ --+ -- Whereas '$' is function application, '<$>' is function+ -- application lifted over a 'Functor'.+ --+ -- ==== __Examples__+ --+ -- Convert from a @'Maybe' 'Int'@ to a @'Maybe' 'String'@ using 'show':+ --+ -- >>> show <$> Nothing+ -- Nothing+ -- >>> show <$> Just 3+ -- Just "3"+ --+ -- Convert from an @'Either' 'Int' 'Int'@ to an @'Either' 'Int'@+ -- 'String' using 'show':+ --+ -- >>> show <$> Left 17+ -- Left 17+ -- >>> show <$> Right 17+ -- Right "17"+ --+ -- Double each element of a list:+ --+ -- >>> (*2) <$> [1,2,3]+ -- [2,4,6]+ --+ -- Apply 'even' to the second element of a pair:+ --+ -- >>> even <$> (2,2)+ -- (2,True)+ --+ (<$>) :: Functor f => (a -> b) -> f a -> f b+ (<$>) = fmap++ infixl 4 $>++ -- -| Flipped version of '<$>'.+ --+ -- @+ -- ('<&>') = 'flip' 'fmap'+ -- @+ --+ -- @since 4.11.0.0+ --+ -- ==== __Examples__+ -- Apply @(+1)@ to a list, a 'Data.Maybe.Just' and a 'Data.Either.Right':+ --+ -- >>> Just 2 <&> (+1)+ -- Just 3+ --+ -- >>> [1,2,3] <&> (+1)+ -- [2,3,4]+ --+ -- >>> Right 3 <&> (+1)+ -- Right 4+ --+ (<&>) :: Functor f => f a -> (a -> b) -> f b+ as <&> f = f <$> as++ infixl 1 <&>++ -- -| Flipped version of '<$'.+ --+ -- @since 4.7.0.0+ --+ -- ==== __Examples__+ --+ -- Replace the contents of a @'Maybe' 'Int'@ with a constant 'String':+ --+ -- >>> Nothing $> "foo"+ -- Nothing+ -- >>> Just 90210 $> "foo"+ -- Just "foo"+ --+ -- Replace the contents of an @'Either' 'Int' 'Int'@ with a constant+ -- 'String', resulting in an @'Either' 'Int' 'String'@:+ --+ -- >>> Left 8675309 $> "foo"+ -- Left 8675309+ -- >>> Right 8675309 $> "foo"+ -- Right "foo"+ --+ -- Replace each element of a list with a constant 'String':+ --+ -- >>> [1,2,3] $> "foo"+ -- ["foo","foo","foo"]+ --+ -- Replace the second element of a pair with a constant 'String':+ --+ -- >>> (1,2) $> "foo"+ -- (1,"foo")+ --+ ($>) :: Functor f => f a -> b -> f b+ ($>) = flip (<$)++ -- -| @'void' value@ discards or ignores the result of evaluation, such+ -- as the return value of an 'System.IO.IO' action.+ --+ -- ==== __Examples__+ --+ -- Replace the contents of a @'Maybe' 'Int'@ with unit:+ --+ -- >>> void Nothing+ -- Nothing+ -- >>> void (Just 3)+ -- Just ()+ --+ -- Replace the contents of an @'Either' 'Int' 'Int'@ with unit,+ -- resulting in an @'Either' 'Int' '()'@:+ --+ -- >>> void (Left 8675309)+ -- Left 8675309+ -- >>> void (Right 8675309)+ -- Right ()+ --+ -- Replace every element of a list with unit:+ --+ -- >>> void [1,2,3]+ -- [(),(),()]+ --+ -- Replace the second element of a pair with unit:+ --+ -- >>> void (1,2)+ -- (1,())+ --+ -- Discard the result of an 'System.IO.IO' action:+ --+ -- >>> mapM print [1,2]+ -- 1+ -- 2+ -- [(),()]+ -- >>> void $ mapM print [1,2]+ -- 1+ -- 2+ --+ void :: Functor f => f a -> f ()+ void x = () <$ x++ deriving instance Functor ((,) a)+ deriving instance Functor Down+ |])++-- Workaround for #326+infixl 4 <$>+infixl 4 $>+infixl 1 <&>
+ src/Data/Singletons/Prelude/Identity.hs view
@@ -0,0 +1,114 @@+{-# LANGUAGE DataKinds #-}+{-# LANGUAGE GADTs #-}+{-# LANGUAGE InstanceSigs #-}+{-# LANGUAGE MagicHash #-}+{-# LANGUAGE PolyKinds #-}+{-# LANGUAGE ScopedTypeVariables #-}+{-# LANGUAGE StandaloneDeriving #-}+{-# LANGUAGE TemplateHaskell #-}+{-# LANGUAGE TypeFamilies #-}+{-# LANGUAGE UndecidableInstances #-}+{-# OPTIONS_GHC -Wno-orphans #-}++-----------------------------------------------------------------------------+-- |+-- Module : Data.Singletons.Prelude.Identity+-- Copyright : (C) 2018 Ryan Scott+-- License : BSD-style (see LICENSE)+-- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)+-- Stability : experimental+-- Portability : non-portable+--+-- Exports the promoted and singled versions of the 'Identity' data type.+--+-----------------------------------------------------------------------------++module Data.Singletons.Prelude.Identity (+ -- * The 'Identity' singleton+ Sing(SIdentity, sRunIdentity),+ SIdentity, RunIdentity,++ -- * Defunctionalization symbols+ IdentitySym0, IdentitySym1,+ RunIdentitySym0, RunIdentitySym1+ ) where++import Control.Applicative+import Data.Foldable (Foldable(..))+import Data.Functor.Identity+import Data.Singletons.Prelude.Base hiding (Foldr, FoldrSym0, sFoldr)+import Data.Singletons.Prelude.Enum+import Data.Singletons.Prelude.Eq+import Data.Singletons.Prelude.Foldable+import Data.Singletons.Prelude.Instances hiding (Foldl, sFoldl)+import Data.Singletons.Prelude.Monad.Internal+import Data.Singletons.Prelude.Monoid+import Data.Singletons.Prelude.Num+import Data.Singletons.Prelude.Ord+import Data.Singletons.Prelude.Semigroup.Internal+import Data.Singletons.Prelude.Show+import Data.Singletons.Single++$(singletonsOnly [d|+ -- deriving instance Enum a => Enum (Identity a)+ instance Enum a => Enum (Identity a) where+ succ (Identity x) = Identity (succ x)+ pred (Identity x) = Identity (pred x)+ toEnum i = Identity (toEnum i)+ fromEnum (Identity x) = fromEnum x+ enumFromTo (Identity x) (Identity y) = map Identity (enumFromTo x y)+ enumFromThenTo (Identity x) (Identity y) (Identity z) =+ map Identity (enumFromThenTo x y z)++ -- deriving instance Monoid a => Monoid (Identity a)+ instance Monoid a => Monoid (Identity a) where+ mempty = Identity mempty++ -- deriving instance Num a => Num (Identity a)+ instance Num a => Num (Identity a) where+ Identity x + Identity y = Identity (x + y)+ Identity x - Identity y = Identity (x - y)+ Identity x * Identity y = Identity (x * y)+ negate (Identity x) = Identity (negate x)+ abs (Identity x) = Identity (abs x)+ signum (Identity x) = Identity (signum x)+ fromInteger n = Identity (fromInteger n)++ -- deriving instance Semigroup a => Semigroup (Identity a)+ instance Semigroup a => Semigroup (Identity a) where+ Identity x <> Identity y = Identity (x <> y)++ -- -| This instance would be equivalent to the derived instances of the+ -- 'Identity' newtype if the 'runIdentity' field were removed+ instance Show a => Show (Identity a) where+ showsPrec d (Identity x) = showParen (d > 10) $+ showString "Identity " . showsPrec 11 x++ deriving instance Functor Identity++ instance Foldable Identity where+ foldMap f (Identity x) = f x++ elem x (Identity y) = x == y+ foldl f z (Identity x) = f z x+ foldl' f z (Identity x) = f z x+ foldl1 _ (Identity x) = x+ foldr f z (Identity x) = f x z+ foldr' = foldr+ foldr1 _ (Identity x) = x+ length _ = 1+ maximum (Identity x) = x+ minimum (Identity x) = x+ null _ = False+ product (Identity x) = x+ sum (Identity x) = x+ toList (Identity x) = [x]++ instance Applicative Identity where+ pure = Identity+ Identity f <*> Identity x = Identity (f x)+ liftA2 f (Identity x) (Identity y) = Identity (f x y)++ instance Monad Identity where+ Identity m >>= k = k m+ |])
src/Data/Singletons/Prelude/Instances.hs view
@@ -8,7 +8,7 @@ -} -{-# LANGUAGE RankNTypes, TypeInType, GADTs, TypeFamilies, EmptyCase,+{-# LANGUAGE DataKinds, PolyKinds, RankNTypes, GADTs, TypeFamilies, EmptyCase, FlexibleContexts, TemplateHaskell, ScopedTypeVariables, UndecidableInstances, TypeOperators, FlexibleInstances #-} {-# OPTIONS_GHC -Wno-orphans #-}
src/Data/Singletons/Prelude/IsString.hs view
@@ -1,14 +1,18 @@-{-# LANGUAGE ExistentialQuantification #-}+{-# LANGUAGE DataKinds #-}+{-# LANGUAGE GADTs #-}+{-# LANGUAGE InstanceSigs #-}+{-# LANGUAGE PolyKinds #-}+{-# LANGUAGE ScopedTypeVariables #-} {-# LANGUAGE TemplateHaskell #-} {-# LANGUAGE TypeFamilies #-}-{-# LANGUAGE TypeInType #-}+{-# LANGUAGE UndecidableInstances #-} ----------------------------------------------------------------------------- -- | -- Module : Data.Singletons.Prelude.IsString -- Copyright : (C) 2017 Ryan Scott -- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)+-- Maintainer : Ryan Scott -- Stability : experimental -- Portability : non-portable --@@ -23,6 +27,10 @@ FromStringSym0, FromStringSym1 ) where +import Data.Functor.Const+import Data.Functor.Identity+import Data.Singletons.Prelude.Const+import Data.Singletons.Prelude.Identity import Data.Singletons.Single import Data.Singletons.TypeLits () -- for the IsString instance! import GHC.TypeLits (Symbol)@@ -32,6 +40,14 @@ -- extension (-XOverloadedStrings in GHC). class IsString a where fromString :: Symbol -> a++ -- deriving instance IsString a => IsString (Const a (b :: k))+ instance IsString a => IsString (Const a (b :: k)) where+ fromString x = Const (fromString x)++ -- deriving instance IsString a => IsString (Identity a)+ instance IsString a => IsString (Identity a) where+ fromString x = Identity (fromString x) |]) -- PIsString instance
src/Data/Singletons/Prelude/List.hs view
@@ -1,14 +1,11 @@-{-# LANGUAGE TypeOperators, DataKinds, PolyKinds, TypeFamilies, TypeInType,- TemplateHaskell, GADTs, UndecidableInstances, RankNTypes,- ScopedTypeVariables, FlexibleContexts, AllowAmbiguousTypes #-}-{-# OPTIONS_GHC -O0 #-}+{-# LANGUAGE ExplicitNamespaces #-} ----------------------------------------------------------------------------- -- | -- Module : Data.Singletons.Prelude.List -- Copyright : (C) 2013-2014 Richard Eisenberg, Jan Stolarek -- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)+-- Maintainer : Ryan Scott -- Stability : experimental -- Portability : non-portable --@@ -73,7 +70,9 @@ -- ** Extracting sublists Take, sTake, Drop, sDrop, SplitAt, sSplitAt, TakeWhile, sTakeWhile, DropWhile, sDropWhile, DropWhileEnd, sDropWhileEnd,- Span, sSpan, Break, sBreak, Group, sGroup,+ Span, sSpan, Break, sBreak,+ StripPrefix,+ Group, sGroup, Inits, sInits, Tails, sTails, -- ** Predicates@@ -93,7 +92,10 @@ FindIndex, sFindIndex, FindIndices, sFindIndices, -- * Zipping and unzipping lists- Zip, sZip, Zip3, sZip3, ZipWith, sZipWith, ZipWith3, sZipWith3,+ Zip, sZip, Zip3, sZip3,+ Zip4, Zip5, Zip6, Zip7,+ ZipWith, sZipWith, ZipWith3, sZipWith3,+ ZipWith4, ZipWith5, ZipWith6, ZipWith7, Unzip, sUnzip, Unzip3, sUnzip3, Unzip4, sUnzip4, Unzip5, sUnzip5, Unzip6, sUnzip6, Unzip7, sUnzip7, @@ -130,6 +132,8 @@ -- | The prefix \`@generic@\' indicates an overloaded function that -- is a generalized version of a "Prelude" function. GenericLength, sGenericLength,+ GenericTake, GenericDrop,+ GenericSplitAt, GenericIndex, GenericReplicate, -- * Defunctionalization symbols NilSym0,@@ -184,6 +188,7 @@ DropWhileEndSym0, DropWhileEndSym1, DropWhileEndSym2, SpanSym0, SpanSym1, SpanSym2, BreakSym0, BreakSym1, BreakSym2,+ StripPrefixSym0, StripPrefixSym1, StripPrefixSym2, GroupSym0, GroupSym1, InitsSym0, InitsSym1, TailsSym0, TailsSym1, @@ -207,8 +212,16 @@ ZipSym0, ZipSym1, ZipSym2, Zip3Sym0, Zip3Sym1, Zip3Sym2, Zip3Sym3,+ Zip4Sym0, Zip4Sym1, Zip4Sym2, Zip4Sym3, Zip4Sym4,+ Zip5Sym0, Zip5Sym1, Zip5Sym2, Zip5Sym3, Zip5Sym4, Zip5Sym5,+ Zip6Sym0, Zip6Sym1, Zip6Sym2, Zip6Sym3, Zip6Sym4, Zip6Sym5, Zip6Sym6,+ Zip7Sym0, Zip7Sym1, Zip7Sym2, Zip7Sym3, Zip7Sym4, Zip7Sym5, Zip7Sym6, Zip7Sym7, ZipWithSym0, ZipWithSym1, ZipWithSym2, ZipWithSym3, ZipWith3Sym0, ZipWith3Sym1, ZipWith3Sym2, ZipWith3Sym3, ZipWith3Sym4,+ ZipWith4Sym0, ZipWith4Sym1, ZipWith4Sym2, ZipWith4Sym3, ZipWith4Sym4, ZipWith4Sym5,+ ZipWith5Sym0, ZipWith5Sym1, ZipWith5Sym2, ZipWith5Sym3, ZipWith5Sym4, ZipWith5Sym5, ZipWith5Sym6,+ ZipWith6Sym0, ZipWith6Sym1, ZipWith6Sym2, ZipWith6Sym3, ZipWith6Sym4, ZipWith6Sym5, ZipWith6Sym6, ZipWith6Sym7,+ ZipWith7Sym0, ZipWith7Sym1, ZipWith7Sym2, ZipWith7Sym3, ZipWith7Sym4, ZipWith7Sym5, ZipWith7Sym6, ZipWith7Sym7, ZipWith7Sym8, UnzipSym0, UnzipSym1, Unzip3Sym0, Unzip3Sym1, Unzip4Sym0, Unzip4Sym1,@@ -240,579 +253,44 @@ MaximumBySym0, MaximumBySym1, MaximumBySym2, MinimumBySym0, MinimumBySym1, MinimumBySym2, - GenericLengthSym0, GenericLengthSym1+ GenericLengthSym0, GenericLengthSym1,+ GenericTakeSym0, GenericTakeSym1, GenericTakeSym2,+ GenericDropSym0, GenericDropSym1, GenericDropSym2,+ GenericSplitAtSym0, GenericSplitAtSym1, GenericSplitAtSym2,+ GenericIndexSym0, GenericIndexSym1, GenericIndexSym2,+ GenericReplicateSym0, GenericReplicateSym1, GenericReplicateSym2, ) where -import Data.Singletons.Internal-import Data.Singletons.Prelude.Instances-import Data.Singletons.Single-import Data.Singletons.TypeLits import Data.Singletons.Prelude.Base-import Data.Singletons.Prelude.Bool-import Data.Singletons.Prelude.Eq-import Data.Singletons.Prelude.Maybe-import Data.Singletons.Prelude.Tuple-import Data.Singletons.Prelude.Num-import Data.Singletons.Prelude.Ord-import Data.Maybe--$(singletonsOnly [d|- head :: [a] -> a- head (a : _) = a- head [] = error "Data.Singletons.List.head: empty list"-- last :: [a] -> a- last [] = error "Data.Singletons.List.last: empty list"- last [x] = x- last (_:x:xs) = last (x:xs)-- tail :: [a] -> [a]- tail (_ : t) = t- tail [] = error "Data.Singletons.List.tail: empty list"-- init :: [a] -> [a]- init [] = error "Data.Singletons.List.init: empty list"- init (x:xs) = init' x xs- where init' :: a -> [a] -> [a]- init' _ [] = []- init' y (z:zs) = y : init' z zs-- null :: [a] -> Bool- null [] = True- null (_:_) = False-- reverse :: [a] -> [a]- reverse l = rev l []- where- rev :: [a] -> [a] -> [a]- rev [] a = a- rev (x:xs) a = rev xs (x:a)-- intersperse :: a -> [a] -> [a]- intersperse _ [] = []- intersperse sep (x:xs) = x : prependToAll sep xs-- intercalate :: [a] -> [[a]] -> [a]- intercalate xs xss = concat (intersperse xs xss)-- subsequences :: [a] -> [[a]]- subsequences xs = [] : nonEmptySubsequences xs-- nonEmptySubsequences :: [a] -> [[a]]- nonEmptySubsequences [] = []- nonEmptySubsequences (x:xs) = [x] : foldr f [] (nonEmptySubsequences xs)- where f ys r = ys : (x : ys) : r-- prependToAll :: a -> [a] -> [a]- prependToAll _ [] = []- prependToAll sep (x:xs) = sep : x : prependToAll sep xs-- permutations :: forall a. [a] -> [[a]]- permutations xs0 = xs0 : perms xs0 []- where- perms [] _ = []- perms (t:ts) is = foldr interleave (perms ts (t:is)) (permutations is)- where interleave xs r = let (_,zs) = interleave' id xs r in zs-- -- This type signature isn't present in the reference- -- implementation of permutations in base. However, it is needed- -- here, since (at least in GHC 8.2.1) the singletonized version- -- will fail to typecheck without it. See #13549 for the full story.- interleave' :: ([a] -> b) -> [a] -> [b] -> ([a], [b])- interleave' _ [] r = (ts, r)- interleave' f (y:ys) r = let (us,zs) = interleave' (f . (y:)) ys r- in (y:us, f (t:y:us) : zs)-- foldl' :: forall a b. (b -> a -> b) -> b -> [a] -> b- foldl' f z0 xs0 = lgo z0 xs0- where lgo :: b -> [a] -> b- lgo z [] = z- lgo z (x:xs) = let z' = f z x in z' `seq` lgo z' xs-- foldl1 :: (a -> a -> a) -> [a] -> a- foldl1 f (x:xs) = foldl f x xs- foldl1 _ [] = error "Data.Singletons.List.foldl1: empty list"-- foldl1' :: (a -> a -> a) -> [a] -> a- foldl1' f (x:xs) = foldl' f x xs- foldl1' _ [] = error "Data.Singletons.List.foldl1': empty list"-- foldr1 :: (a -> a -> a) -> [a] -> a- foldr1 _ [x] = x- foldr1 f (x:xs@(_:_)) = f x (foldr1 f xs)- foldr1 _ [] = error "Data.Singletons.List.foldr1: empty list"-- concat :: [[a]] -> [a]- concat = foldr (++) []-- concatMap :: (a -> [b]) -> [a] -> [b]- concatMap f = foldr ((++) . f) []-- and :: [Bool] -> Bool- and [] = True- and (x:xs) = x && and xs-- or :: [Bool] -> Bool- or [] = False- or (x:xs) = x || or xs-- all :: (a -> Bool) -> [a] -> Bool- all _ [] = True- all p (x:xs) = p x && all p xs-- any :: (a -> Bool) -> [a] -> Bool- any _ [] = False- any p (x:xs) = p x || any p xs-- scanl :: (b -> a -> b) -> b -> [a] -> [b]- scanl f q ls = q : (case ls of- [] -> []- x:xs -> scanl f (f q x) xs)- scanl1 :: (a -> a -> a) -> [a] -> [a]- scanl1 f (x:xs) = scanl f x xs- scanl1 _ [] = []-- scanr :: (a -> b -> b) -> b -> [a] -> [b]- scanr _ q0 [] = [q0]- scanr f q0 (x:xs) = case scanr f q0 xs of- [] -> error "Data.Singletons.List.scanr: empty list"- (q:qs) -> f x q : (q:qs)-- scanr1 :: (a -> a -> a) -> [a] -> [a]- scanr1 _ [] = []- scanr1 _ [x] = [x]- scanr1 f (x:xs@(_:_)) = case scanr1 f xs of- [] -> error "Data.Singletons.List.scanr1: empty list"- (q:qs) -> f x q : (q:qs)-- mapAccumL :: (acc -> x -> (acc, y))- -> acc- -> [x]- -> (acc, [y])- mapAccumL _ s [] = (s, [])- mapAccumL f s (x:xs) = (s'',y:ys)- where (s', y ) = f s x- (s'',ys) = mapAccumL f s' xs-- mapAccumR :: (acc -> x -> (acc, y))- -> acc- -> [x]- -> (acc, [y])- mapAccumR _ s [] = (s, [])- mapAccumR f s (x:xs) = (s'', y:ys)- where (s'',y ) = f s' x- (s', ys) = mapAccumR f s xs-- unfoldr :: (b -> Maybe (a, b)) -> b -> [a]- unfoldr f b =- case f b of- Just (a,new_b) -> a : unfoldr f new_b- Nothing -> []-- inits :: [a] -> [[a]]- inits xs = [] : case xs of- [] -> []- x : xs' -> map (x :) (inits xs')-- tails :: [a] -> [[a]]- tails xs = xs : case xs of- [] -> []- _ : xs' -> tails xs'-- isPrefixOf :: (Eq a) => [a] -> [a] -> Bool- isPrefixOf [] [] = True- isPrefixOf [] (_:_) = True- isPrefixOf (_:_) [] = False- isPrefixOf (x:xs) (y:ys)= x == y && isPrefixOf xs ys-- isSuffixOf :: (Eq a) => [a] -> [a] -> Bool- isSuffixOf x y = reverse x `isPrefixOf` reverse y-- isInfixOf :: (Eq a) => [a] -> [a] -> Bool- isInfixOf needle haystack = any (isPrefixOf needle) (tails haystack)-- elem :: (Eq a) => a -> [a] -> Bool- elem _ [] = False- elem x (y:ys) = x==y || elem x ys- infix 4 `elem`-- notElem :: (Eq a) => a -> [a] -> Bool- notElem _ [] = True- notElem x (y:ys) = x /= y && notElem x ys- infix 4 `notElem`-- zip :: [a] -> [b] -> [(a,b)]- zip (x:xs) (y:ys) = (x,y) : zip xs ys- zip [] [] = []- zip (_:_) [] = []- zip [] (_:_) = []-- zip3 :: [a] -> [b] -> [c] -> [(a,b,c)]- zip3 (a:as) (b:bs) (c:cs) = (a,b,c) : zip3 as bs cs- zip3 [] [] [] = []- zip3 [] [] (_:_) = []- zip3 [] (_:_) [] = []- zip3 [] (_:_) (_:_) = []- zip3 (_:_) [] [] = []- zip3 (_:_) [] (_:_) = []- zip3 (_:_) (_:_) [] = []-- zipWith :: (a -> b -> c) -> [a] -> [b] -> [c]- zipWith f (x:xs) (y:ys) = f x y : zipWith f xs ys- zipWith _ [] [] = []- zipWith _ (_:_) [] = []- zipWith _ [] (_:_) = []-- zipWith3 :: (a->b->c->d) -> [a]->[b]->[c]->[d]- zipWith3 z (a:as) (b:bs) (c:cs) = z a b c : zipWith3 z as bs cs- zipWith3 _ [] [] [] = []- zipWith3 _ [] [] (_:_) = []- zipWith3 _ [] (_:_) [] = []- zipWith3 _ [] (_:_) (_:_) = []- zipWith3 _ (_:_) [] [] = []- zipWith3 _ (_:_) [] (_:_) = []- zipWith3 _ (_:_) (_:_) [] = []-- unzip :: [(a,b)] -> ([a],[b])- unzip xs = foldr (\(a,b) (as,bs) -> (a:as,b:bs)) ([],[]) xs-- -- Lazy patterns removed from unzip- unzip3 :: [(a,b,c)] -> ([a],[b],[c])- unzip3 xs = foldr (\(a,b,c) (as,bs,cs) -> (a:as,b:bs,c:cs))- ([],[],[]) xs-- unzip4 :: [(a,b,c,d)] -> ([a],[b],[c],[d])- unzip4 xs = foldr (\(a,b,c,d) (as,bs,cs,ds) ->- (a:as,b:bs,c:cs,d:ds))- ([],[],[],[]) xs-- unzip5 :: [(a,b,c,d,e)] -> ([a],[b],[c],[d],[e])- unzip5 xs = foldr (\(a,b,c,d,e) (as,bs,cs,ds,es) ->- (a:as,b:bs,c:cs,d:ds,e:es))- ([],[],[],[],[]) xs-- unzip6 :: [(a,b,c,d,e,f)] -> ([a],[b],[c],[d],[e],[f])- unzip6 xs = foldr (\(a,b,c,d,e,f) (as,bs,cs,ds,es,fs) ->- (a:as,b:bs,c:cs,d:ds,e:es,f:fs))- ([],[],[],[],[],[]) xs-- unzip7 :: [(a,b,c,d,e,f,g)] -> ([a],[b],[c],[d],[e],[f],[g])- unzip7 xs = foldr (\(a,b,c,d,e,f,g) (as,bs,cs,ds,es,fs,gs) ->- (a:as,b:bs,c:cs,d:ds,e:es,f:fs,g:gs))- ([],[],[],[],[],[],[]) xs---- We can't promote any of these functions because at the type level--- String literals are no longer considered to be lists of Chars, so--- there is mismatch between term-level and type-level semantics--- lines :: String -> [String]--- lines "" = []--- lines s = cons (case break (== '\n') s of--- (l, s') -> (l, case s' of--- [] -> []--- _:s'' -> lines s''))--- where--- cons ~(h, t) = h : t------ words :: String -> [String]--- words s = case dropWhile isSpace s of--- "" -> []--- s' -> w : words s''--- where (w, s'') =--- break isSpace s'-- unlines :: [Symbol] -> Symbol- unlines [] = ""- unlines (l:ls) = l <> "\n" <> unlines ls-- unwords :: [Symbol] -> Symbol- unwords [] = ""- unwords (w:ws) = w <> go ws- where- go [] = ""- go (v:vs) = " " <> (v <> go vs)-- delete :: (Eq a) => a -> [a] -> [a]- delete = deleteBy (==)-- (\\) :: (Eq a) => [a] -> [a] -> [a]- (\\) = foldl (flip delete)- infix 5 \\ -- This comment is necessary so CPP doesn't treat the- -- trailing backslash as a line splice. Urgh.-- deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]- deleteBy _ _ [] = []- deleteBy eq x (y:ys) = if x `eq` y then ys else y : deleteBy eq x ys-- deleteFirstsBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]- deleteFirstsBy eq = foldl (flip (deleteBy eq))-- sortBy :: (a -> a -> Ordering) -> [a] -> [a]- sortBy cmp = foldr (insertBy cmp) []-- insertBy :: (a -> a -> Ordering) -> a -> [a] -> [a]- insertBy _ x [] = [x]- insertBy cmp x ys@(y:ys')- = case cmp x y of- GT -> y : insertBy cmp x ys'- LT -> x : ys- EQ -> x : ys-- maximumBy :: (a -> a -> Ordering) -> [a] -> a- maximumBy _ [] = error "Data.Singletons.List.maximumBy: empty list"- maximumBy cmp xs@(_:_) = foldl1 maxBy xs- where- maxBy x y = case cmp x y of- GT -> x- EQ -> y- LT -> y-- minimumBy :: (a -> a -> Ordering) -> [a] -> a- minimumBy _ [] = error "Data.Singletons.List.minimumBy: empty list"- minimumBy cmp xs@(_:_) = foldl1 minBy xs- where- minBy x y = case cmp x y of- GT -> y- EQ -> x- LT -> x-- filter :: (a -> Bool) -> [a] -> [a]- filter _p [] = []- filter p (x:xs) = if p x then x : filter p xs else filter p xs-- find :: (a -> Bool) -> [a] -> Maybe a- find p = listToMaybe . filter p---- These three rely on findIndices, which does not promote.--- Since we have our own implementation of findIndices these are perfectly valid- elemIndex :: Eq a => a -> [a] -> Maybe Nat- elemIndex x = findIndex (x==)-- elemIndices :: Eq a => a -> [a] -> [Nat]- elemIndices x = findIndices (x==)-- findIndex :: (a -> Bool) -> [a] -> Maybe Nat- findIndex p = listToMaybe . findIndices p---- Uses list comprehensions, infinite lists and and Ints--- findIndices :: (a -> Bool) -> [a] -> [Int]--- findIndices p xs = [ i | (x,i) <- zip xs [0..], p x]-- findIndices :: (a -> Bool) -> [a] -> [Nat]- findIndices p xs = map snd (filter (\(x,_) -> p x)- (zip xs (buildList 0 xs)))- where buildList :: Nat -> [b] -> [Nat]- buildList _ [] = []- buildList a (_:rest) = a : buildList (a+1) rest-- -- Relies on intersectBy, which does not singletonize- intersect :: (Eq a) => [a] -> [a] -> [a]- intersect = intersectBy (==)---- Uses list comprehensions.--- intersectBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]--- intersectBy _ [] [] = []--- intersectBy _ [] (_:_) = []--- intersectBy _ (_:_) [] = []--- intersectBy eq xs ys = [x | x <- xs, any (eq x) ys]-- intersectBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]- intersectBy _ [] [] = []- intersectBy _ [] (_:_) = []- intersectBy _ (_:_) [] = []- intersectBy eq xs@(_:_) ys@(_:_) = filter (\x -> any (eq x) ys) xs-- takeWhile :: (a -> Bool) -> [a] -> [a]- takeWhile _ [] = []- takeWhile p (x:xs) = if p x then x : takeWhile p xs else []-- dropWhile :: (a -> Bool) -> [a] -> [a]- dropWhile _ [] = []- dropWhile p xs@(x:xs') = if p x then dropWhile p xs' else xs-- dropWhileEnd :: (a -> Bool) -> [a] -> [a]- dropWhileEnd p = foldr (\x xs -> if p x && null xs then [] else x : xs) []-- span :: (a -> Bool) -> [a] -> ([a],[a])- span _ xs@[] = (xs, xs)- span p xs@(x:xs') = if p x then let (ys,zs) = span p xs' in (x:ys,zs)- else ([], xs)-- break :: (a -> Bool) -> [a] -> ([a],[a])- break _ xs@[] = (xs, xs)- break p xs@(x:xs') = if p x then ([],xs)- else let (ys,zs) = break p xs' in (x:ys,zs)---- Can't be promoted because of limitations of Int promotion--- Below is a re-implementation using Nat--- take :: Int -> [a] -> [a]--- take n _ | n <= 0 = []--- take _ [] = []--- take n (x:xs) = x : take (n-1) xs---- drop :: Int -> [a] -> [a]--- drop n xs | n <= 0 = xs--- drop _ [] = []--- drop n (_:xs) = drop (n-1) xs---- splitAt :: Int -> [a] -> ([a],[a])--- splitAt n xs = (take n xs, drop n xs)-- take :: Nat -> [a] -> [a]- take _ [] = []- take n (x:xs) = if n == 0 then [] else x : take (n-1) xs-- drop :: Nat -> [a] -> [a]- drop _ [] = []- drop n (x:xs) = if n == 0 then x:xs else drop (n-1) xs-- splitAt :: Nat -> [a] -> ([a],[a])- splitAt n xs = (take n xs, drop n xs)-- group :: Eq a => [a] -> [[a]]- group xs = groupBy (==) xs-- maximum :: (Ord a) => [a] -> a- maximum [] = error "Data.Singletons.List.maximum: empty list"- maximum xs@(_:_) = foldl1 max xs-- minimum :: (Ord a) => [a] -> a- minimum [] = error "Data.Singletons.List.minimum: empty list"- minimum xs@(_:_) = foldl1 min xs-- insert :: Ord a => a -> [a] -> [a]- insert e ls = insertBy (compare) e ls-- sort :: (Ord a) => [a] -> [a]- sort = sortBy compare-- groupBy :: (a -> a -> Bool) -> [a] -> [[a]]- groupBy _ [] = []- groupBy eq (x:xs) = (x:ys) : groupBy eq zs- where (ys,zs) = span (eq x) xs-- lookup :: (Eq a) => a -> [(a,b)] -> Maybe b- lookup _key [] = Nothing- lookup key ((x,y):xys) = if key == x then Just y else lookup key xys-- partition :: (a -> Bool) -> [a] -> ([a],[a])- partition p xs = foldr (select p) ([],[]) xs-- -- Lazy pattern removed from select- select :: (a -> Bool) -> a -> ([a], [a]) -> ([a], [a])- select p x (ts,fs) = if p x then (x:ts,fs) else (ts, x:fs)---- Can't be promoted because of limitations of Int promotion--- Below is a re-implementation using Nat--- sum :: (Num a) => [a] -> a--- sum l = sum' l 0--- where--- sum' [] a = a--- sum' (x:xs) a = sum' xs (a+x)------ product :: (Num a) => [a] -> a--- product l = prod l 1--- where--- prod [] a = a--- prod (x:xs) a = prod xs (a*x)-- sum :: forall a. Num a => [a] -> a- sum l = sum' l 0- where- sum' :: [a] -> a -> a- sum' [] a = a- sum' (x:xs) a = sum' xs (a+x)-- product :: forall a. Num a => [a] -> a- product l = prod l 1- where- prod :: [a] -> a -> a- prod [] a = a- prod (x:xs) a = prod xs (a*x)----- Can't be promoted because of limitations of Int promotion--- Below is a re-implementation using Nat--- length :: [a] -> Int--- length l = lenAcc l 0#------ lenAcc :: [a] -> Int# -> Int--- lenAcc [] a# = I# a#--- lenAcc (_:xs) a# = lenAcc xs (a# +# 1#)------ incLen :: a -> (Int# -> Int) -> Int# -> Int--- incLen _ g x = g (x +# 1#)-- length :: [a] -> Nat- length [] = 0- length (_:xs) = 1 + length xs---- Functions working on infinite lists don't promote because they create--- infinite types. replicate also uses integers, but luckily it can be rewritten--- iterate :: (a -> a) -> a -> [a]--- iterate f x = x : iterate f (f x)------ repeat :: a -> [a]--- repeat x = xs where xs = x : xs------ replicate :: Int -> a -> [a]--- replicate n x = take n (repeat x)------ cycle :: [a] -> [a]--- cycle [] = error "Data.Singletons.List.cycle: empty list"--- cycle xs = xs' where xs' = xs ++ xs'-- replicate :: Nat -> a -> [a]- replicate n x = if n == 0 then [] else x : replicate (n-1) x---- Uses list comprehensions--- transpose :: [[a]] -> [[a]]--- transpose [] = []--- transpose ([] : xss) = transpose xss--- transpose ((x:xs) : xss) = (x : [h | (h:_) <- xss]) : transpose (xs : [ t | (_:t) <- xss])-- transpose :: [[a]] -> [[a]]- transpose [] = []- transpose ([] : xss) = transpose xss- transpose ((x:xs) : xss) = (x : (map head xss)) : transpose (xs : (map tail xss))---- Can't be promoted because of limitations of Int promotion.--- Below is a re-implementation using Nat--- (!!) :: [a] -> Int -> a--- xs !! n | n < 0 = error "Data.Singletons.List.!!: negative index"--- [] !! _ = error "Data.Singletons.List.!!: index too large"--- (x:_) !! 0 = x--- (_:xs) !! n = xs !! (n-1)-- (!!) :: [a] -> Nat -> a- [] !! _ = error "Data.Singletons.List.!!: index too large"- (x:xs) !! n = if n == 0 then x else xs !! (n-1)- infixl 9 !!-- nub :: forall a. (Eq a) => [a] -> [a]- nub l = nub' l []- where- nub' :: [a] -> [a] -> [a]- nub' [] _ = []- nub' (x:xs) ls = if x `elem` ls then nub' xs ls else x : nub' xs (x:ls)-- nubBy :: (a -> a -> Bool) -> [a] -> [a]- nubBy eq l = nubBy' l []- where- nubBy' [] _ = []- nubBy' (y:ys) xs = if elem_by eq y xs then nubBy' ys xs else y : nubBy' ys (y:xs)-- elem_by :: (a -> a -> Bool) -> a -> [a] -> Bool- elem_by _ _ [] = False- elem_by eq y (x:xs) = y `eq` x || elem_by eq y xs-- unionBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]- unionBy eq xs ys = xs ++ foldl (flip (deleteBy eq)) (nubBy eq ys) xs-- union :: (Eq a) => [a] -> [a] -> [a]- union = unionBy (==)-- genericLength :: (Num i) => [a] -> i- genericLength [] = 0- genericLength (_:xs) = 1 + genericLength xs+ ( Map, MapSym0, MapSym1, MapSym2, sMap+ , type (++), type (++@#@$), type (++@#@$$), type (++@#@$$$), (%++)+ )+import Data.Singletons.Prelude.Foldable+import Data.Singletons.Prelude.Instances+ (Sing(..), SList, NilSym0, type (:@#@$), type (:@#@$$), type (:@#@$$$))+import Data.Singletons.Prelude.Traversable - |])+import Data.Singletons.Prelude.List.Internal+ hiding ( All, AllSym0, AllSym1, AllSym2, sAll+ , And, AndSym0, AndSym1, sAnd+ , Any, AnySym0, AnySym1, AnySym2, sAny+ , Concat, ConcatSym0, ConcatSym1, sConcat+ , ConcatMap, ConcatMapSym0, ConcatMapSym1, ConcatMapSym2, sConcatMap+ , Elem, ElemSym0, ElemSym1, ElemSym2, sElem+ , Find, FindSym0, FindSym1, FindSym2, sFind+ , Foldl1, Foldl1Sym0, Foldl1Sym1, Foldl1Sym2, sFoldl1+ , Foldl', Foldl'Sym0, Foldl'Sym1, Foldl'Sym2, Foldl'Sym3, sFoldl'+ , Foldr1, Foldr1Sym0, Foldr1Sym1, Foldr1Sym2, sFoldr1+ , MapAccumL, MapAccumLSym0, MapAccumLSym1, MapAccumLSym2, MapAccumLSym3, sMapAccumL+ , MapAccumR, MapAccumRSym0, MapAccumRSym1, MapAccumRSym2, MapAccumRSym3, sMapAccumR+ , Maximum, MaximumSym0, MaximumSym1, sMaximum+ , MaximumBy, MaximumBySym0, MaximumBySym1, MaximumBySym2, sMaximumBy+ , Minimum, MinimumSym0, MinimumSym1, sMinimum+ , MinimumBy, MinimumBySym0, MinimumBySym1, MinimumBySym2, sMinimumBy+ , Length, LengthSym0, LengthSym1, sLength+ , NotElem, NotElemSym0, NotElemSym1, NotElemSym2, sNotElem+ , Null, NullSym0, NullSym1, sNull+ , Or, OrSym0, OrSym1, sOr+ , Product, ProductSym0, ProductSym1, sProduct+ , Sum, SumSym0, SumSym1, sSum+ )
+ src/Data/Singletons/Prelude/List/Internal.hs view
@@ -0,0 +1,670 @@+{-# LANGUAGE TypeOperators, DataKinds, PolyKinds, TypeFamilies,+ TemplateHaskell, GADTs, UndecidableInstances, RankNTypes,+ ScopedTypeVariables, FlexibleContexts, AllowAmbiguousTypes #-}+{-# OPTIONS_GHC -O0 #-}++-----------------------------------------------------------------------------+-- |+-- Module : Data.Singletons.Prelude.List.Internal+-- Copyright : (C) 2013-2014 Richard Eisenberg, Jan Stolarek+-- License : BSD-style (see LICENSE)+-- Maintainer : Ryan Scott+-- Stability : experimental+-- Portability : non-portable+--+-- Defines functions and datatypes relating to the singleton for '[]',+-- including a singletons version of a few of the definitions in @Data.List@.+--+-- All of the functions defined in this module are specialized for lists,+-- unlike "Data.Singletons.Prelude.List", which uses 'Foldable' and+-- 'Traversable' contexts when available.+--+----------------------------------------------------------------------------++module Data.Singletons.Prelude.List.Internal where++import Data.Singletons.Prelude.Instances+import Data.Singletons.Promote+import Data.Singletons.Single+import Data.Singletons.TypeLits+import Data.Singletons.Prelude.Base+import Data.Singletons.Prelude.Bool+import Data.Singletons.Prelude.Eq+import Data.Singletons.Prelude.Maybe+import Data.Singletons.Prelude.Monad.Internal+import Data.Singletons.Prelude.Semigroup.Internal (SSemigroup(..), type (<>@#@$))+import Data.Singletons.Prelude.Tuple+import Data.Singletons.Prelude.Num+import Data.Singletons.Prelude.Ord+import Data.Maybe++$(singletonsOnly [d|+ head :: [a] -> a+ head (a : _) = a+ head [] = error "Data.Singletons.List.head: empty list"++ last :: [a] -> a+ last [] = error "Data.Singletons.List.last: empty list"+ last [x] = x+ last (_:x:xs) = last (x:xs)++ tail :: [a] -> [a]+ tail (_ : t) = t+ tail [] = error "Data.Singletons.List.tail: empty list"++ init :: [a] -> [a]+ init [] = error "Data.Singletons.List.init: empty list"+ init (x:xs) = init' x xs+ where init' :: a -> [a] -> [a]+ init' _ [] = []+ init' y (z:zs) = y : init' z zs++ null :: [a] -> Bool+ null [] = True+ null (_:_) = False++ reverse :: [a] -> [a]+ reverse l = rev l []+ where+ rev :: [a] -> [a] -> [a]+ rev [] a = a+ rev (x:xs) a = rev xs (x:a)++ intersperse :: a -> [a] -> [a]+ intersperse _ [] = []+ intersperse sep (x:xs) = x : prependToAll sep xs++ intercalate :: [a] -> [[a]] -> [a]+ intercalate xs xss = concat (intersperse xs xss)++ subsequences :: [a] -> [[a]]+ subsequences xs = [] : nonEmptySubsequences xs++ nonEmptySubsequences :: [a] -> [[a]]+ nonEmptySubsequences [] = []+ nonEmptySubsequences (x:xs) = [x] : foldr f [] (nonEmptySubsequences xs)+ where f ys r = ys : (x : ys) : r++ prependToAll :: a -> [a] -> [a]+ prependToAll _ [] = []+ prependToAll sep (x:xs) = sep : x : prependToAll sep xs++ permutations :: forall a. [a] -> [[a]]+ permutations xs0 = xs0 : perms xs0 []+ where+ perms [] _ = []+ perms (t:ts) is = foldr interleave (perms ts (t:is)) (permutations is)+ where interleave xs r = let (_,zs) = interleave' id xs r in zs++ -- This type signature isn't present in the reference+ -- implementation of permutations in base. However, it is needed+ -- here, since (at least in GHC 8.2.1) the singletonized version+ -- will fail to typecheck without it. See #13549 for the full story.+ interleave' :: ([a] -> b) -> [a] -> [b] -> ([a], [b])+ interleave' _ [] r = (ts, r)+ interleave' f (y:ys) r = let (us,zs) = interleave' (f . (y:)) ys r+ in (y:us, f (t:y:us) : zs)++ foldl' :: forall a b. (b -> a -> b) -> b -> [a] -> b+ foldl' f z0 xs0 = lgo z0 xs0+ where lgo :: b -> [a] -> b+ lgo z [] = z+ lgo z (x:xs) = let z' = f z x in z' `seq` lgo z' xs++ foldl1 :: (a -> a -> a) -> [a] -> a+ foldl1 f (x:xs) = foldl f x xs+ foldl1 _ [] = error "Data.Singletons.List.foldl1: empty list"++ foldl1' :: (a -> a -> a) -> [a] -> a+ foldl1' f (x:xs) = foldl' f x xs+ foldl1' _ [] = error "Data.Singletons.List.foldl1': empty list"++ foldr1 :: (a -> a -> a) -> [a] -> a+ foldr1 _ [x] = x+ foldr1 f (x:xs@(_:_)) = f x (foldr1 f xs)+ foldr1 _ [] = error "Data.Singletons.List.foldr1: empty list"++ concat :: [[a]] -> [a]+ concat = foldr (++) []++ concatMap :: (a -> [b]) -> [a] -> [b]+ concatMap f = foldr ((++) . f) []++ and :: [Bool] -> Bool+ and [] = True+ and (x:xs) = x && and xs++ or :: [Bool] -> Bool+ or [] = False+ or (x:xs) = x || or xs++ all :: (a -> Bool) -> [a] -> Bool+ all _ [] = True+ all p (x:xs) = p x && all p xs++ any :: (a -> Bool) -> [a] -> Bool+ any _ [] = False+ any p (x:xs) = p x || any p xs++ scanl :: (b -> a -> b) -> b -> [a] -> [b]+ scanl f q ls = q : (case ls of+ [] -> []+ x:xs -> scanl f (f q x) xs)+ scanl1 :: (a -> a -> a) -> [a] -> [a]+ scanl1 f (x:xs) = scanl f x xs+ scanl1 _ [] = []++ scanr :: (a -> b -> b) -> b -> [a] -> [b]+ scanr _ q0 [] = [q0]+ scanr f q0 (x:xs) = case scanr f q0 xs of+ [] -> error "Data.Singletons.List.scanr: empty list"+ (q:qs) -> f x q : (q:qs)++ scanr1 :: (a -> a -> a) -> [a] -> [a]+ scanr1 _ [] = []+ scanr1 _ [x] = [x]+ scanr1 f (x:xs@(_:_)) = case scanr1 f xs of+ [] -> error "Data.Singletons.List.scanr1: empty list"+ (q:qs) -> f x q : (q:qs)++ mapAccumL :: (acc -> x -> (acc, y))+ -> acc+ -> [x]+ -> (acc, [y])+ mapAccumL _ s [] = (s, [])+ mapAccumL f s (x:xs) = (s'',y:ys)+ where (s', y ) = f s x+ (s'',ys) = mapAccumL f s' xs++ mapAccumR :: (acc -> x -> (acc, y))+ -> acc+ -> [x]+ -> (acc, [y])+ mapAccumR _ s [] = (s, [])+ mapAccumR f s (x:xs) = (s'', y:ys)+ where (s'',y ) = f s' x+ (s', ys) = mapAccumR f s xs++ unfoldr :: (b -> Maybe (a, b)) -> b -> [a]+ unfoldr f b =+ case f b of+ Just (a,new_b) -> a : unfoldr f new_b+ Nothing -> []++ inits :: [a] -> [[a]]+ inits xs = [] : case xs of+ [] -> []+ x : xs' -> map (x :) (inits xs')++ tails :: [a] -> [[a]]+ tails xs = xs : case xs of+ [] -> []+ _ : xs' -> tails xs'++ isPrefixOf :: (Eq a) => [a] -> [a] -> Bool+ isPrefixOf [] [] = True+ isPrefixOf [] (_:_) = True+ isPrefixOf (_:_) [] = False+ isPrefixOf (x:xs) (y:ys)= x == y && isPrefixOf xs ys++ isSuffixOf :: (Eq a) => [a] -> [a] -> Bool+ isSuffixOf x y = reverse x `isPrefixOf` reverse y++ isInfixOf :: (Eq a) => [a] -> [a] -> Bool+ isInfixOf needle haystack = any (isPrefixOf needle) (tails haystack)++ elem :: (Eq a) => a -> [a] -> Bool+ elem _ [] = False+ elem x (y:ys) = x==y || elem x ys+ infix 4 `elem`++ notElem :: (Eq a) => a -> [a] -> Bool+ notElem _ [] = True+ notElem x (y:ys) = x /= y && notElem x ys+ infix 4 `notElem`++ zip :: [a] -> [b] -> [(a,b)]+ zip (x:xs) (y:ys) = (x,y) : zip xs ys+ zip [] [] = []+ zip (_:_) [] = []+ zip [] (_:_) = []++ zip3 :: [a] -> [b] -> [c] -> [(a,b,c)]+ zip3 (a:as) (b:bs) (c:cs) = (a,b,c) : zip3 as bs cs+ zip3 [] [] [] = []+ zip3 [] [] (_:_) = []+ zip3 [] (_:_) [] = []+ zip3 [] (_:_) (_:_) = []+ zip3 (_:_) [] [] = []+ zip3 (_:_) [] (_:_) = []+ zip3 (_:_) (_:_) [] = []++ zipWith :: (a -> b -> c) -> [a] -> [b] -> [c]+ zipWith f (x:xs) (y:ys) = f x y : zipWith f xs ys+ zipWith _ [] [] = []+ zipWith _ (_:_) [] = []+ zipWith _ [] (_:_) = []++ zipWith3 :: (a->b->c->d) -> [a]->[b]->[c]->[d]+ zipWith3 z (a:as) (b:bs) (c:cs) = z a b c : zipWith3 z as bs cs+ zipWith3 _ [] [] [] = []+ zipWith3 _ [] [] (_:_) = []+ zipWith3 _ [] (_:_) [] = []+ zipWith3 _ [] (_:_) (_:_) = []+ zipWith3 _ (_:_) [] [] = []+ zipWith3 _ (_:_) [] (_:_) = []+ zipWith3 _ (_:_) (_:_) [] = []++ unzip :: [(a,b)] -> ([a],[b])+ unzip xs = foldr (\(a,b) (as,bs) -> (a:as,b:bs)) ([],[]) xs++ -- Lazy patterns removed from unzip+ unzip3 :: [(a,b,c)] -> ([a],[b],[c])+ unzip3 xs = foldr (\(a,b,c) (as,bs,cs) -> (a:as,b:bs,c:cs))+ ([],[],[]) xs++ unzip4 :: [(a,b,c,d)] -> ([a],[b],[c],[d])+ unzip4 xs = foldr (\(a,b,c,d) (as,bs,cs,ds) ->+ (a:as,b:bs,c:cs,d:ds))+ ([],[],[],[]) xs++ unzip5 :: [(a,b,c,d,e)] -> ([a],[b],[c],[d],[e])+ unzip5 xs = foldr (\(a,b,c,d,e) (as,bs,cs,ds,es) ->+ (a:as,b:bs,c:cs,d:ds,e:es))+ ([],[],[],[],[]) xs++ unzip6 :: [(a,b,c,d,e,f)] -> ([a],[b],[c],[d],[e],[f])+ unzip6 xs = foldr (\(a,b,c,d,e,f) (as,bs,cs,ds,es,fs) ->+ (a:as,b:bs,c:cs,d:ds,e:es,f:fs))+ ([],[],[],[],[],[]) xs++ unzip7 :: [(a,b,c,d,e,f,g)] -> ([a],[b],[c],[d],[e],[f],[g])+ unzip7 xs = foldr (\(a,b,c,d,e,f,g) (as,bs,cs,ds,es,fs,gs) ->+ (a:as,b:bs,c:cs,d:ds,e:es,f:fs,g:gs))+ ([],[],[],[],[],[],[]) xs++-- We can't promote any of these functions because at the type level+-- String literals are no longer considered to be lists of Chars, so+-- there is mismatch between term-level and type-level semantics+-- lines :: String -> [String]+-- lines "" = []+-- lines s = cons (case break (== '\n') s of+-- (l, s') -> (l, case s' of+-- [] -> []+-- _:s'' -> lines s''))+-- where+-- cons ~(h, t) = h : t+--+-- words :: String -> [String]+-- words s = case dropWhile isSpace s of+-- "" -> []+-- s' -> w : words s''+-- where (w, s'') =+-- break isSpace s'++ unlines :: [Symbol] -> Symbol+ unlines [] = ""+ unlines (l:ls) = l <> "\n" <> unlines ls++ unwords :: [Symbol] -> Symbol+ unwords [] = ""+ unwords (w:ws) = w <> go ws+ where+ go [] = ""+ go (v:vs) = " " <> (v <> go vs)++ delete :: (Eq a) => a -> [a] -> [a]+ delete = deleteBy (==)++ (\\) :: (Eq a) => [a] -> [a] -> [a]+ (\\) = foldl (flip delete)+ infix 5 \\ -- This comment is necessary so CPP doesn't treat the+ -- trailing backslash as a line splice. Urgh.++ deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]+ deleteBy _ _ [] = []+ deleteBy eq x (y:ys) = if x `eq` y then ys else y : deleteBy eq x ys++ deleteFirstsBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]+ deleteFirstsBy eq = foldl (flip (deleteBy eq))++ sortBy :: (a -> a -> Ordering) -> [a] -> [a]+ sortBy cmp = foldr (insertBy cmp) []++ insertBy :: (a -> a -> Ordering) -> a -> [a] -> [a]+ insertBy _ x [] = [x]+ insertBy cmp x ys@(y:ys')+ = case cmp x y of+ GT -> y : insertBy cmp x ys'+ LT -> x : ys+ EQ -> x : ys++ maximumBy :: (a -> a -> Ordering) -> [a] -> a+ maximumBy _ [] = error "Data.Singletons.List.maximumBy: empty list"+ maximumBy cmp xs@(_:_) = foldl1 maxBy xs+ where+ maxBy x y = case cmp x y of+ GT -> x+ EQ -> y+ LT -> y++ minimumBy :: (a -> a -> Ordering) -> [a] -> a+ minimumBy _ [] = error "Data.Singletons.List.minimumBy: empty list"+ minimumBy cmp xs@(_:_) = foldl1 minBy xs+ where+ minBy x y = case cmp x y of+ GT -> y+ EQ -> x+ LT -> x++ filter :: (a -> Bool) -> [a] -> [a]+ filter _p [] = []+ filter p (x:xs) = if p x then x : filter p xs else filter p xs++ find :: (a -> Bool) -> [a] -> Maybe a+ find p = listToMaybe . filter p++-- These three rely on findIndices, which does not promote.+-- Since we have our own implementation of findIndices these are perfectly valid+ elemIndex :: Eq a => a -> [a] -> Maybe Nat+ elemIndex x = findIndex (x==)++ elemIndices :: Eq a => a -> [a] -> [Nat]+ elemIndices x = findIndices (x==)++ findIndex :: (a -> Bool) -> [a] -> Maybe Nat+ findIndex p = listToMaybe . findIndices p++-- Uses infinite lists and and Ints+-- findIndices :: (a -> Bool) -> [a] -> [Int]+-- findIndices p xs = [ i | (x,i) <- zip xs [0..], p x]++ findIndices :: (a -> Bool) -> [a] -> [Nat]+ findIndices p xs = map snd (filter (\(x,_) -> p x)+ (zip xs (buildList 0 xs)))+ where buildList :: Nat -> [b] -> [Nat]+ buildList _ [] = []+ buildList a (_:rest) = a : buildList (a+1) rest++ intersect :: (Eq a) => [a] -> [a] -> [a]+ intersect = intersectBy (==)++ intersectBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]+ intersectBy _ [] [] = []+ intersectBy _ [] (_:_) = []+ intersectBy _ (_:_) [] = []+ intersectBy eq xs@(_:_) ys@(_:_) = [x | x <- xs, any (eq x) ys]++ takeWhile :: (a -> Bool) -> [a] -> [a]+ takeWhile _ [] = []+ takeWhile p (x:xs) = if p x then x : takeWhile p xs else []++ dropWhile :: (a -> Bool) -> [a] -> [a]+ dropWhile _ [] = []+ dropWhile p xs@(x:xs') = if p x then dropWhile p xs' else xs++ dropWhileEnd :: (a -> Bool) -> [a] -> [a]+ dropWhileEnd p = foldr (\x xs -> if p x && null xs then [] else x : xs) []++ span :: (a -> Bool) -> [a] -> ([a],[a])+ span _ xs@[] = (xs, xs)+ span p xs@(x:xs') = if p x then let (ys,zs) = span p xs' in (x:ys,zs)+ else ([], xs)++ break :: (a -> Bool) -> [a] -> ([a],[a])+ break _ xs@[] = (xs, xs)+ break p xs@(x:xs') = if p x then ([],xs)+ else let (ys,zs) = break p xs' in (x:ys,zs)++-- Can't be promoted because of limitations of Int promotion+-- Below is a re-implementation using Nat+-- take :: Int -> [a] -> [a]+-- take n _ | n <= 0 = []+-- take _ [] = []+-- take n (x:xs) = x : take (n-1) xs++-- drop :: Int -> [a] -> [a]+-- drop n xs | n <= 0 = xs+-- drop _ [] = []+-- drop n (_:xs) = drop (n-1) xs++-- splitAt :: Int -> [a] -> ([a],[a])+-- splitAt n xs = (take n xs, drop n xs)++ take :: Nat -> [a] -> [a]+ take _ [] = []+ take n (x:xs) = if n == 0 then [] else x : take (n-1) xs++ drop :: Nat -> [a] -> [a]+ drop _ [] = []+ drop n (x:xs) = if n == 0 then x:xs else drop (n-1) xs++ splitAt :: Nat -> [a] -> ([a],[a])+ splitAt n xs = (take n xs, drop n xs)++ group :: Eq a => [a] -> [[a]]+ group xs = groupBy (==) xs++ maximum :: (Ord a) => [a] -> a+ maximum [] = error "Data.Singletons.List.maximum: empty list"+ maximum xs@(_:_) = foldl1 max xs++ minimum :: (Ord a) => [a] -> a+ minimum [] = error "Data.Singletons.List.minimum: empty list"+ minimum xs@(_:_) = foldl1 min xs++ insert :: Ord a => a -> [a] -> [a]+ insert e ls = insertBy (compare) e ls++ sort :: (Ord a) => [a] -> [a]+ sort = sortBy compare++ groupBy :: (a -> a -> Bool) -> [a] -> [[a]]+ groupBy _ [] = []+ groupBy eq (x:xs) = (x:ys) : groupBy eq zs+ where (ys,zs) = span (eq x) xs++ lookup :: (Eq a) => a -> [(a,b)] -> Maybe b+ lookup _key [] = Nothing+ lookup key ((x,y):xys) = if key == x then Just y else lookup key xys++ partition :: (a -> Bool) -> [a] -> ([a],[a])+ partition p xs = foldr (select p) ([],[]) xs++ -- Lazy pattern removed from select+ select :: (a -> Bool) -> a -> ([a], [a]) -> ([a], [a])+ select p x (ts,fs) = if p x then (x:ts,fs) else (ts, x:fs)++-- Can't be promoted because of limitations of Int promotion+-- Below is a re-implementation using Nat+-- sum :: (Num a) => [a] -> a+-- sum l = sum' l 0+-- where+-- sum' [] a = a+-- sum' (x:xs) a = sum' xs (a+x)+--+-- product :: (Num a) => [a] -> a+-- product l = prod l 1+-- where+-- prod [] a = a+-- prod (x:xs) a = prod xs (a*x)++ sum :: forall a. Num a => [a] -> a+ sum l = sum' l 0+ where+ sum' :: [a] -> a -> a+ sum' [] a = a+ sum' (x:xs) a = sum' xs (a+x)++ product :: forall a. Num a => [a] -> a+ product l = prod l 1+ where+ prod :: [a] -> a -> a+ prod [] a = a+ prod (x:xs) a = prod xs (a*x)+++-- Can't be promoted because of limitations of Int promotion+-- Below is a re-implementation using Nat+-- length :: [a] -> Int+-- length l = lenAcc l 0#+--+-- lenAcc :: [a] -> Int# -> Int+-- lenAcc [] a# = I# a#+-- lenAcc (_:xs) a# = lenAcc xs (a# +# 1#)+--+-- incLen :: a -> (Int# -> Int) -> Int# -> Int+-- incLen _ g x = g (x +# 1#)++ length :: [a] -> Nat+ length [] = 0+ length (_:xs) = 1 + length xs++-- Functions working on infinite lists don't promote because they create+-- infinite types. replicate also uses integers, but luckily it can be rewritten+-- iterate :: (a -> a) -> a -> [a]+-- iterate f x = x : iterate f (f x)+--+-- repeat :: a -> [a]+-- repeat x = xs where xs = x : xs+--+-- replicate :: Int -> a -> [a]+-- replicate n x = take n (repeat x)+--+-- cycle :: [a] -> [a]+-- cycle [] = error "Data.Singletons.List.cycle: empty list"+-- cycle xs = xs' where xs' = xs ++ xs'++ replicate :: Nat -> a -> [a]+ replicate n x = if n == 0 then [] else x : replicate (n-1) x++-- Uses partial pattern-matching in a list comprehension+-- (see https://github.com/goldfirere/singletons/issues/340)+-- transpose :: [[a]] -> [[a]]+-- transpose [] = []+-- transpose ([] : xss) = transpose xss+-- transpose ((x:xs) : xss) = (x : [h | (h:_) <- xss]) : transpose (xs : [ t | (_:t) <- xss])++ transpose :: [[a]] -> [[a]]+ transpose [] = []+ transpose ([] : xss) = transpose xss+ transpose ((x:xs) : xss) = (x : (map head xss)) : transpose (xs : (map tail xss))++-- Can't be promoted because of limitations of Int promotion.+-- Below is a re-implementation using Nat+-- (!!) :: [a] -> Int -> a+-- xs !! n | n < 0 = error "Data.Singletons.List.!!: negative index"+-- [] !! _ = error "Data.Singletons.List.!!: index too large"+-- (x:_) !! 0 = x+-- (_:xs) !! n = xs !! (n-1)++ (!!) :: [a] -> Nat -> a+ [] !! _ = error "Data.Singletons.List.!!: index too large"+ (x:xs) !! n = if n == 0 then x else xs !! (n-1)+ infixl 9 !!++ nub :: forall a. (Eq a) => [a] -> [a]+ nub l = nub' l []+ where+ nub' :: [a] -> [a] -> [a]+ nub' [] _ = []+ nub' (x:xs) ls = if x `elem` ls then nub' xs ls else x : nub' xs (x:ls)++ nubBy :: (a -> a -> Bool) -> [a] -> [a]+ nubBy eq l = nubBy' l []+ where+ nubBy' [] _ = []+ nubBy' (y:ys) xs = if elem_by eq y xs then nubBy' ys xs else y : nubBy' ys (y:xs)++ elem_by :: (a -> a -> Bool) -> a -> [a] -> Bool+ elem_by _ _ [] = False+ elem_by eq y (x:xs) = y `eq` x || elem_by eq y xs++ unionBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]+ unionBy eq xs ys = xs ++ foldl (flip (deleteBy eq)) (nubBy eq ys) xs++ union :: (Eq a) => [a] -> [a] -> [a]+ union = unionBy (==)++ genericLength :: (Num i) => [a] -> i+ genericLength [] = 0+ genericLength (_:xs) = 1 + genericLength xs++ |])++-- Workaround for #326+infix 5 \\ -- This comment is necessary so CPP doesn't treat the+infixl 9 !!++-- The following functions are supported for promotion only.+$(promoteOnly [d|++ -- Overlapping patterns don't singletonize+ stripPrefix :: Eq a => [a] -> [a] -> Maybe [a]+ stripPrefix [] ys = Just ys+ stripPrefix (x:xs) (y:ys)+ | x == y = stripPrefix xs ys+ stripPrefix _ _ = Nothing++ -- To singletonize these we would need to rewrite all patterns+ -- as non-overlapping. This means 2^7 equations for zipWith7.++ zip4 :: [a] -> [b] -> [c] -> [d] -> [(a,b,c,d)]+ zip4 = zipWith4 (,,,)++ zip5 :: [a] -> [b] -> [c] -> [d] -> [e] -> [(a,b,c,d,e)]+ zip5 = zipWith5 (,,,,)++ zip6 :: [a] -> [b] -> [c] -> [d] -> [e] -> [f] ->+ [(a,b,c,d,e,f)]+ zip6 = zipWith6 (,,,,,)++ zip7 :: [a] -> [b] -> [c] -> [d] -> [e] -> [f] ->+ [g] -> [(a,b,c,d,e,f,g)]+ zip7 = zipWith7 (,,,,,,)++ zipWith4 :: (a->b->c->d->e) -> [a]->[b]->[c]->[d]->[e]+ zipWith4 z (a:as) (b:bs) (c:cs) (d:ds)+ = z a b c d : zipWith4 z as bs cs ds+ zipWith4 _ _ _ _ _ = []++ zipWith5 :: (a->b->c->d->e->f) ->+ [a]->[b]->[c]->[d]->[e]->[f]+ zipWith5 z (a:as) (b:bs) (c:cs) (d:ds) (e:es)+ = z a b c d e : zipWith5 z as bs cs ds es+ zipWith5 _ _ _ _ _ _ = []++ zipWith6 :: (a->b->c->d->e->f->g) ->+ [a]->[b]->[c]->[d]->[e]->[f]->[g]+ zipWith6 z (a:as) (b:bs) (c:cs) (d:ds) (e:es) (f:fs)+ = z a b c d e f : zipWith6 z as bs cs ds es fs+ zipWith6 _ _ _ _ _ _ _ = []++ zipWith7 :: (a->b->c->d->e->f->g->h) ->+ [a]->[b]->[c]->[d]->[e]->[f]->[g]->[h]+ zipWith7 z (a:as) (b:bs) (c:cs) (d:ds) (e:es) (f:fs) (g:gs)+ = z a b c d e f g : zipWith7 z as bs cs ds es fs gs+ zipWith7 _ _ _ _ _ _ _ _ = []++-- These functions use Integral or Num typeclass instead of Int.+--+-- genericLength, genericTake, genericDrop, genericSplitAt, genericIndex+-- genericReplicate+--+-- We provide aliases below to improve compatibility++ genericTake :: (Integral i) => i -> [a] -> [a]+ genericTake = take++ genericDrop :: (Integral i) => i -> [a] -> [a]+ genericDrop = drop++ genericSplitAt :: (Integral i) => i -> [a] -> ([a], [a])+ genericSplitAt = splitAt++ genericIndex :: (Integral i) => [a] -> i -> a+ genericIndex = (!!)++ genericReplicate :: (Integral i) => i -> a -> [a]+ genericReplicate = replicate+ |])
+ src/Data/Singletons/Prelude/List/Internal/Disambiguation.hs view
@@ -0,0 +1,169 @@+-----------------------------------------------------------------------------+-- |+-- Module : Data.Singletons.Prelude.List.Internal.Disambiguation+-- Copyright : (C) 2016 Richard Eisenberg+-- License : BSD-style (see LICENSE)+-- Maintainer : Ryan Scott+-- Stability : experimental+-- Portability : non-portable+--+-- Renames a bunch of List functions because singletons can't support qualified+-- names. :(+--+----------------------------------------------------------------------------++{-# LANGUAGE TemplateHaskell, ScopedTypeVariables, TypeFamilies,+ UndecidableInstances, GADTs, DataKinds, PolyKinds #-}+{-# OPTIONS_GHC -Wno-missing-signatures #-}++module Data.Singletons.Prelude.List.Internal.Disambiguation where++import Data.Singletons.Single+import Data.Singletons.Prelude.Base+import Data.Singletons.Prelude.Instances+import Data.Singletons.Prelude.List.Internal+import Data.Singletons.Prelude.Num+import Data.Singletons.Prelude.Ord+import Data.Singletons.Prelude.Eq+import Data.List+import GHC.TypeLits++-- singletons doesn't support qualified names :(+$(singletons [d|+ listlast :: [a] -> a+ listlast = last++ listinit :: [a] -> [a]+ listinit = init++ listsort :: Ord a => [a] -> [a]+ listsort = sort++ listinits :: [a] -> [[a]]+ listinits = inits++ listtails :: [a] -> [[a]]+ listtails = tails++ listinsert :: Ord a => a -> [a] -> [a]+ listinsert = insert++ listscanl :: (b -> a -> b) -> b -> [a] -> [b]+ listscanl = scanl++ listscanr :: (a -> b -> b) -> b -> [a] -> [b]+ listscanr = scanr++ listscanr1 :: (a -> a -> a) -> [a] -> [a]+ listscanr1 = scanr1++ listintersperse :: a -> [a] -> [a]+ listintersperse = intersperse++ listreverse :: [a] -> [a]+ listreverse = reverse++ listtakeWhile :: (a -> Bool) -> [a] -> [a]+ listtakeWhile = takeWhile++ listdropWhile :: (a -> Bool) -> [a] -> [a]+ listdropWhile = dropWhile++ listspan :: (a -> Bool) -> [a] -> ([a], [a])+ listspan = span++ listfilter :: (a -> Bool) -> [a] -> [a]+ listfilter = filter++ listpartition :: (a -> Bool) -> [a] -> ([a], [a])+ listpartition = partition++ listsortBy :: (a -> a -> Ordering) -> [a] -> [a]+ listsortBy = sortBy++ listisPrefixOf :: Eq a => [a] -> [a] -> Bool+ listisPrefixOf = isPrefixOf++ listzip :: [a] -> [b] -> [(a, b)]+ listzip = zip++ listzipWith :: (a -> b -> c) -> [a] -> [b] -> [c]+ listzipWith = zipWith++ listnubBy :: (a -> a -> Bool) -> [a] -> [a]+ listnubBy = nubBy++ listtranspose :: [[a]] -> [[a]]+ listtranspose = transpose++ listunzip :: [(a,b)] -> ([a],[b])+ listunzip = unzip++ listmap :: (a -> b) -> [a] -> [b]+ listmap = map++ listelem :: Eq a => a -> [a] -> Bool+ listelem = elem++ listfoldl :: (b -> a -> b) -> b -> [a] -> b+ listfoldl = foldl++ listfoldl' :: (b -> a -> b) -> b -> [a] -> b+ listfoldl' = foldl'++ listfoldl1 :: (a -> a -> a) -> [a] -> a+ listfoldl1 = foldl1++ listfoldr :: (a -> b -> b) -> b -> [a] -> b+ listfoldr = foldr++ listfoldr1 :: (a -> a -> a) -> [a] -> a+ listfoldr1 = foldr1++ listmaximum :: Ord a => [a] -> a+ listmaximum = maximum++ listminimum :: Ord a => [a] -> a+ listminimum = minimum++ listnull :: [a] -> Bool+ listnull = null++ listproduct :: Num a => [a] -> a+ listproduct = product++ listsum :: Num a => [a] -> a+ listsum = sum+ |])++$(singletonsOnly [d|+ listtake :: Nat -> [a] -> [a]+ listtake = take++ listdrop :: Nat -> [a] -> [a]+ listdrop = drop++ listsplitAt :: Nat -> [a] -> ([a], [a])+ listsplitAt = splitAt++ listindex :: [a] -> Nat -> a+ listindex = (!!)++ listlength :: [a] -> Nat+ listlength = length+ |])++listtake :: Nat -> [a] -> [a]+listtake = undefined++listdrop :: Nat -> [a] -> [a]+listdrop = undefined++listsplitAt :: Nat -> [a] -> ([a], [a])+listsplitAt = undefined++listindex :: [a] -> Nat -> a+listindex = undefined++listlength :: [a] -> Nat+listlength = undefined
src/Data/Singletons/Prelude/List/NonEmpty.hs view
@@ -1,12 +1,14 @@-{-# LANGUAGE TemplateHaskell, ScopedTypeVariables, TypeInType, TypeOperators,- TypeFamilies, GADTs, UndecidableInstances #-}+{-# LANGUAGE TemplateHaskell, ScopedTypeVariables, TypeOperators,+ TypeFamilies, GADTs, UndecidableInstances, InstanceSigs,+ DataKinds, PolyKinds #-}+{-# OPTIONS_GHC -Wno-orphans #-} ----------------------------------------------------------------------------- -- | -- Module : Data.Singletons.Prelude.List.NonEmpty -- Copyright : (C) 2016 Richard Eisenberg -- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)+-- Maintainer : Ryan Scott -- Stability : experimental -- Portability : non-portable --@@ -145,14 +147,16 @@ XorSym0, XorSym1 ) where +import Control.Monad.Zip import Data.List.NonEmpty-import Data.Singletons.Prelude.List.NonEmpty.Internal+import Data.Singletons.Prelude.List.Internal.Disambiguation import Data.Singletons.Prelude.Instances import Data.Singletons.Prelude.Base hiding ( MapSym0, MapSym1, MapSym2, Map, sMap ) import Data.Singletons.Prelude.Maybe import Data.Singletons.Prelude.Num import Data.Singletons.Prelude.Bool import Data.Singletons.Prelude.Eq+import Data.Singletons.Prelude.Monad.Zip import Data.Singletons.Prelude.Ord import Data.Singletons.Prelude.Function import Data.Function@@ -172,13 +176,12 @@ instance MonadFix NonEmpty where mfix f = case fix (f . head) of ~(x :| _) -> x :| mfix (tail . f)+ -} - -- | @since 4.9.0.0 instance MonadZip NonEmpty where mzip = zip mzipWith = zipWith munzip = unzip- -} -- needed to implement other functions fmap :: (a -> b) -> NonEmpty a -> NonEmpty b
− src/Data/Singletons/Prelude/List/NonEmpty/Internal.hs
@@ -1,133 +0,0 @@--------------------------------------------------------------------------------- |--- Module : Data.Singletons.Prelude.List.NonEmpty.Internal--- Copyright : (C) 2016 Richard Eisenberg--- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)--- Stability : experimental--- Portability : non-portable------ Renames a bunch of List functions because singletons can't support qualified--- names. :(----------------------------------------------------------------------------------{-# LANGUAGE TemplateHaskell, ScopedTypeVariables, TypeInType, TypeFamilies,- UndecidableInstances, GADTs #-}-{-# OPTIONS_GHC -Wno-missing-signatures #-}--module Data.Singletons.Prelude.List.NonEmpty.Internal where--import Data.Singletons.Single-import Data.Singletons.Prelude.List-import Data.Singletons.Prelude.Ord-import Data.Singletons.Prelude.Eq-import Data.List-import GHC.TypeLits---- singletons doesn't support qualified names :(-$(singletons [d|- listlast :: [a] -> a- listlast = last-- listinit :: [a] -> [a]- listinit = init-- listsort :: Ord a => [a] -> [a]- listsort = sort-- listinits :: [a] -> [[a]]- listinits = inits-- listtails :: [a] -> [[a]]- listtails = tails-- listinsert :: Ord a => a -> [a] -> [a]- listinsert = insert-- listscanl :: (b -> a -> b) -> b -> [a] -> [b]- listscanl = scanl-- listscanr :: (a -> b -> b) -> b -> [a] -> [b]- listscanr = scanr-- listscanr1 :: (a -> a -> a) -> [a] -> [a]- listscanr1 = scanr1-- listintersperse :: a -> [a] -> [a]- listintersperse = intersperse-- listreverse :: [a] -> [a]- listreverse = reverse-- listtakeWhile :: (a -> Bool) -> [a] -> [a]- listtakeWhile = takeWhile-- listdropWhile :: (a -> Bool) -> [a] -> [a]- listdropWhile = dropWhile-- listspan :: (a -> Bool) -> [a] -> ([a], [a])- listspan = span-- listfilter :: (a -> Bool) -> [a] -> [a]- listfilter = filter-- listpartition :: (a -> Bool) -> [a] -> ([a], [a])- listpartition = partition-- listsortBy :: (a -> a -> Ordering) -> [a] -> [a]- listsortBy = sortBy-- listisPrefixOf :: Eq a => [a] -> [a] -> Bool- listisPrefixOf = isPrefixOf-- listzip :: [a] -> [b] -> [(a, b)]- listzip = zip-- listzipWith :: (a -> b -> c) -> [a] -> [b] -> [c]- listzipWith = zipWith-- listnubBy :: (a -> a -> Bool) -> [a] -> [a]- listnubBy = nubBy-- listtranspose :: [[a]] -> [[a]]- listtranspose = transpose-- listunzip :: [(a,b)] -> ([a],[b])- listunzip = unzip-- listmap :: (a -> b) -> [a] -> [b]- listmap = map- |])--$(singletonsOnly [d|- listtake :: Nat -> [a] -> [a]- listtake = take-- listdrop :: Nat -> [a] -> [a]- listdrop = drop-- listsplitAt :: Nat -> [a] -> ([a], [a])- listsplitAt = splitAt-- listindex :: [a] -> Nat -> a- listindex = (!!)-- listlength :: [a] -> Nat- listlength = length- |])--listtake :: Nat -> [a] -> [a]-listtake = undefined--listdrop :: Nat -> [a] -> [a]-listdrop = undefined--listsplitAt :: Nat -> [a] -> ([a], [a])-listsplitAt = undefined--listindex :: [a] -> Nat -> a-listindex = undefined--listlength :: [a] -> Nat-listlength = undefined
src/Data/Singletons/Prelude/Maybe.hs view
@@ -1,4 +1,4 @@-{-# LANGUAGE TemplateHaskell, ScopedTypeVariables, TypeFamilies, TypeInType,+{-# LANGUAGE TemplateHaskell, ScopedTypeVariables, TypeFamilies, DataKinds, PolyKinds, UndecidableInstances, GADTs, RankNTypes #-} -----------------------------------------------------------------------------@@ -6,7 +6,7 @@ -- Module : Data.Singletons.Prelude.Maybe -- Copyright : (C) 2013-2014 Richard Eisenberg, Jan Stolarek -- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)+-- Maintainer : Ryan Scott -- Stability : experimental -- Portability : non-portable --
+ src/Data/Singletons/Prelude/Monad.hs view
@@ -0,0 +1,293 @@+{-# LANGUAGE DataKinds #-}+{-# LANGUAGE DefaultSignatures #-}+{-# LANGUAGE FlexibleInstances #-}+{-# LANGUAGE GADTs #-}+{-# LANGUAGE InstanceSigs #-}+{-# LANGUAGE PolyKinds #-}+{-# LANGUAGE ScopedTypeVariables #-}+{-# LANGUAGE TemplateHaskell #-}+{-# LANGUAGE TypeFamilies #-}+{-# LANGUAGE TypeOperators #-}+{-# LANGUAGE UndecidableInstances #-}+{-# OPTIONS_GHC -Wno-orphans #-}++-----------------------------------------------------------------------------+-- |+-- Module : Data.Singletons.Prelude.Monad+-- Copyright : (C) 2018 Ryan Scott+-- License : BSD-style (see LICENSE)+-- Maintainer : Ryan Scott+-- Stability : experimental+-- Portability : non-portable+--+-- Defines the promoted and singled versions of the 'Monad' type class.+--+----------------------------------------------------------------------------++module Data.Singletons.Prelude.Monad (+ PFunctor(Fmap), SFunctor(sFmap),+ PMonad(..), SMonad(..), PMonadPlus(..), SMonadPlus(..),++ MapM, sMapM, MapM_, sMapM_, ForM, sForM,+ Sequence, sSequence, Sequence_, sSequence_,+ type (=<<), (%=<<), type (>=>), (%>=>), type (<=<), (%<=<),+ Void, sVoid,++ Join, sJoin,+ Msum, sMsum,+ Mfilter, sMfilter, FilterM, sFilterM,+ MapAndUnzipM, sMapAndUnzipM, ZipWithM, sZipWithM,+ ZipWithM_, sZipWithM_, FoldlM, sFoldlM,+ ReplicateM, sReplicateM, ReplicateM_, sReplicateM_,++ Guard, sGuard, When, sWhen, Unless, sUnless,++ LiftM, sLiftM, LiftM2, sLiftM2, LiftM3, sLiftM3,+ LiftM4, sLiftM4, LiftM5, sLiftM5, Ap, sAp,++ type (<$!>), (%<$!>),++ -- * Defunctionalization symbols+ FmapSym0, FmapSym1, FmapSym2,+ type (>>=@#@$), type (>>=@#@$$), type (>>=@#@$$$),+ type (>>@#@$), type (>>@#@$$), type (>>@#@$$$),+ ReturnSym0, ReturnSym1, FailSym0, FailSym1,+ MzeroSym0, MplusSym0, MplusSym1, MplusSym2,++ MapMSym0, MapMSym1, MapMSym2,+ MapM_Sym0, MapM_Sym1, MapM_Sym2,+ ForMSym0, ForMSym1, ForMSym2,+ SequenceSym0, SequenceSym1,+ Sequence_Sym0, Sequence_Sym1,+ type (=<<@#@$), type (=<<@#@$$), type (=<<@#@$$$),+ type (>=>@#@$), type (>=>@#@$$), type (>=>@#@$$$),+ type (<=<@#@$), type (<=<@#@$$), type (<=<@#@$$$),+ VoidSym0, VoidSym1,++ JoinSym0, JoinSym1,+ MsumSym0, MsumSym1,+ MfilterSym0, MfilterSym1, MfilterSym2,+ FilterMSym0, FilterMSym1, FilterMSym2,+ MapAndUnzipMSym0, MapAndUnzipMSym1, MapAndUnzipMSym2,+ ZipWithMSym0, ZipWithMSym1, ZipWithMSym2, ZipWithMSym3,+ ZipWithM_Sym0, ZipWithM_Sym1, ZipWithM_Sym2, ZipWithM_Sym3,+ FoldlMSym0, FoldlMSym1, FoldlMSym2, FoldlMSym3,+ ReplicateMSym0, ReplicateMSym1, ReplicateMSym2,+ ReplicateM_Sym0, ReplicateM_Sym1, ReplicateM_Sym2,++ GuardSym0, GuardSym1,+ WhenSym0, WhenSym1, WhenSym2,+ UnlessSym0, UnlessSym1, UnlessSym2,++ LiftMSym0, LiftMSym1, LiftMSym2,+ LiftM2Sym0, LiftM2Sym1, LiftM2Sym2, LiftM2Sym3,+ LiftM3Sym0, LiftM3Sym1, LiftM3Sym2, LiftM3Sym3, LiftM3Sym4,+ LiftM4Sym0, LiftM4Sym1, LiftM4Sym2, LiftM4Sym3, LiftM4Sym4, LiftM4Sym5,+ LiftM5Sym0, LiftM5Sym1, LiftM5Sym2, LiftM5Sym3, LiftM5Sym4, LiftM5Sym5, LiftM5Sym6,+ ApSym0, ApSym1, ApSym2,++ type (<$!>@#@$), type (<$!>@#@$$), type (<$!>@#@$$$),+ ) where++import Control.Applicative+import Control.Monad+import Data.Ord (Down(..))+import Data.Singletons.Prelude.Applicative ()+import Data.Singletons.Prelude.Base hiding (Foldr, FoldrSym0, sFoldr)+import Data.Singletons.Prelude.Foldable+import Data.Singletons.Prelude.Functor+import Data.Singletons.Prelude.Instances+import Data.Singletons.Prelude.List (UnzipSym0, sUnzip, ZipWithSym0, sZipWith)+import Data.Singletons.Prelude.Monad.Internal+import Data.Singletons.Prelude.Monoid+import Data.Singletons.Prelude.Num+import Data.Singletons.Prelude.Ord+import Data.Singletons.Prelude.Traversable+import Data.Singletons.Single+import GHC.TypeNats++$(singletonsOnly [d|+ -- -----------------------------------------------------------------------------+ -- Functions mandated by the Prelude++ -- -| This generalizes the list-based 'filter' function.++ filterM :: (Applicative m) => (a -> m Bool) -> [a] -> m [a]+ filterM p = foldr (\ x -> liftA2 (\ flg -> if flg then (x:) else id) (p x)) (pure [])++ infixr 1 <=<, >=>++ -- -| Left-to-right Kleisli composition of monads.+ (>=>) :: Monad m => (a -> m b) -> (b -> m c) -> (a -> m c)+ f >=> g = \x -> f x >>= g++ -- -| Right-to-left Kleisli composition of monads. @('>=>')@, with the arguments flipped.+ --+ -- Note how this operator resembles function composition @('.')@:+ --+ -- > (.) :: (b -> c) -> (a -> b) -> a -> c+ -- > (<=<) :: Monad m => (b -> m c) -> (a -> m b) -> a -> m c+ (<=<) :: Monad m => (b -> m c) -> (a -> m b) -> (a -> m c)+ (<=<) = flip (>=>)++ {-+ Relies on infinite lists++ -- -| @'forever' act@ repeats the action infinitely.+ forever :: (Applicative f) => f a -> f b+ forever a = let a' = a *> a' in a'+ -- Use explicit sharing here, as it prevents a space leak regardless of+ -- optimizations.+ -}++ -- -----------------------------------------------------------------------------+ -- Other monad functions++ -- -| The 'mapAndUnzipM' function maps its first argument over a list, returning+ -- the result as a pair of lists. This function is mainly used with complicated+ -- data structures or a state-transforming monad.+ mapAndUnzipM :: (Applicative m) => (a -> m (b,c)) -> [a] -> m ([b], [c])+ mapAndUnzipM f xs = unzip <$> traverse f xs++ -- -| The 'zipWithM' function generalizes 'zipWith' to arbitrary applicative functors.+ zipWithM :: (Applicative m) => (a -> b -> m c) -> [a] -> [b] -> m [c]+ zipWithM f xs ys = sequenceA (zipWith f xs ys)++ -- -| 'zipWithM_' is the extension of 'zipWithM' which ignores the final result.+ zipWithM_ :: (Applicative m) => (a -> b -> m c) -> [a] -> [b] -> m ()+ zipWithM_ f xs ys = sequenceA_ (zipWith f xs ys)++ {- -| The 'foldM' function is analogous to 'foldl', except that its result is+ encapsulated in a monad. Note that 'foldM' works from left-to-right over+ the list arguments. This could be an issue where @('>>')@ and the `folded+ function' are not commutative.+++ > foldM f a1 [x1, x2, ..., xm]++ ==++ > do+ > a2 <- f a1 x1+ > a3 <- f a2 x2+ > ...+ > f am xm++ If right-to-left evaluation is required, the input list should be reversed.++ Note: 'foldM' is the same as 'foldlM'+ -}++ foldM :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m b+ foldM = foldlM++ -- -| Like 'foldM', but discards the result.+ foldM_ :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m ()+ foldM_ f a xs = foldlM f a xs >> return ()++ {-+ Note [Worker/wrapper transform on replicateM/replicateM_]+ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~++ The implementations of replicateM and replicateM_ both leverage the+ worker/wrapper transform. The simpler implementation of replicateM_, as an+ example, would be:++ replicateM_ 0 _ = pure ()+ replicateM_ n f = f *> replicateM_ (n - 1) f++ However, the self-recursive nature of this implementation inhibits inlining,+ which means we never get to specialise to the action (`f` in the code above).+ By contrast, the implementation below with a local loop makes it possible to+ inline the entire definition (as happens for foldr, for example) thereby+ specialising for the particular action.++ For further information, see this Trac comment, which includes side-by-side+ Core: https://ghc.haskell.org/trac/ghc/ticket/11795#comment:6+ -}++ -- -| @'replicateM' n act@ performs the action @n@ times,+ -- gathering the results.+ replicateM :: (Applicative m) => Nat -> m a -> m [a]+ replicateM cnt0 f =+ loop cnt0+ where+ loop cnt+ | cnt <= 0 = pure []+ | otherwise = liftA2 (:) f (loop (cnt - 1))++ -- -| Like 'replicateM', but discards the result.+ replicateM_ :: (Applicative m) => Nat -> m a -> m ()+ replicateM_ cnt0 f =+ loop cnt0+ where+ loop cnt+ | cnt <= 0 = pure ()+ | otherwise = f *> loop (cnt - 1)+++ -- -| The reverse of 'when'.+ unless :: (Applicative f) => Bool -> f () -> f ()+ unless p s = if p then pure () else s++ infixl 4 <$!>++ -- -| Strict version of 'Data.Functor.<$>'.+ --+ -- @since 4.8.0.0+ (<$!>) :: Monad m => (a -> b) -> m a -> m b+ f <$!> m = do+ x <- m+ let z = f x+ z `seq` return z+++ -- -----------------------------------------------------------------------------+ -- Other MonadPlus functions++ -- -| Direct 'MonadPlus' equivalent of 'filter'+ -- @'filter'@ = @(mfilter:: (a -> Bool) -> [a] -> [a]@+ -- applicable to any 'MonadPlus', for example+ -- @mfilter odd (Just 1) == Just 1@+ -- @mfilter odd (Just 2) == Nothing@++ mfilter :: (MonadPlus m) => (a -> Bool) -> m a -> m a+ mfilter p ma = do+ a <- ma+ if p a then return a else mzero++ {- -$naming++ The functions in this library use the following naming conventions:++ * A postfix \'@M@\' always stands for a function in the Kleisli category:+ The monad type constructor @m@ is added to function results+ (modulo currying) and nowhere else. So, for example,++ > filter :: (a -> Bool) -> [a] -> [a]+ > filterM :: (Monad m) => (a -> m Bool) -> [a] -> m [a]++ * A postfix \'@_@\' changes the result type from @(m a)@ to @(m ())@.+ Thus, for example:++ > sequence :: Monad m => [m a] -> m [a]+ > sequence_ :: Monad m => [m a] -> m ()++ * A prefix \'@m@\' generalizes an existing function to a monadic form.+ Thus, for example:++ > sum :: Num a => [a] -> a+ > msum :: MonadPlus m => [m a] -> m a++ -}++ instance Monoid a => Monad ((,) a) where+ (u, a) >>= k = case k a of (v, b) -> (u `mappend` v, b)++ instance Monad Down where+ Down a >>= k = k a+ |])++-- Workaround for #326+infixr 1 <=<, >=>+infixl 4 <$!>
+ src/Data/Singletons/Prelude/Monad/Internal.hs view
@@ -0,0 +1,519 @@+{-# LANGUAGE DataKinds #-}+{-# LANGUAGE DefaultSignatures #-}+{-# LANGUAGE FlexibleInstances #-}+{-# LANGUAGE GADTs #-}+{-# LANGUAGE InstanceSigs #-}+{-# LANGUAGE PolyKinds #-}+{-# LANGUAGE ScopedTypeVariables #-}+{-# LANGUAGE StandaloneDeriving #-}+{-# LANGUAGE TemplateHaskell #-}+{-# LANGUAGE TypeFamilies #-}+{-# LANGUAGE TypeOperators #-}+{-# LANGUAGE UndecidableInstances #-}++-----------------------------------------------------------------------------+-- |+-- Module : Data.Singletons.Prelude.Monad.Internal+-- Copyright : (C) 2018 Ryan Scott+-- License : BSD-style (see LICENSE)+-- Maintainer : Ryan Scott+-- Stability : experimental+-- Portability : non-portable+--+-- Defines the promoted and singled versions of:+--+-- * Functor+-- * Applicative+-- * Alternative+-- * Monad+-- * MonadPlus+--+-- As well as auxiliary definitions.+--+-- This module exists to break up import cycles.+--+----------------------------------------------------------------------------++module Data.Singletons.Prelude.Monad.Internal where++import Control.Applicative+import Control.Monad+import Data.Kind+import Data.List.NonEmpty (NonEmpty(..))+import Data.Singletons.Prelude.Base+import Data.Singletons.Prelude.Instances+import Data.Singletons.Single+import Data.Singletons.TypeLits.Internal++{-+Note [How to get the right kinds when promoting Functor and friends]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+To avoid running afoul of a CUSK validity check (see Note [CUSKification]),+classes with type parameters that lack explicit kind signatures will be+defaulted to be of kind Type. This is not what you want for Functor, however,+since its argument is of kind (Type -> Type), so we must explicitly use this+kind when declaring the Functor class (and other classes in this module).+-}++$(singletonsOnly [d|+ infixl 4 <$++ {- -| The 'Functor' class is used for types that can be mapped over.+ Instances of 'Functor' should satisfy the following laws:++ > fmap id == id+ > fmap (f . g) == fmap f . fmap g++ The instances of 'Functor' for lists, 'Data.Maybe.Maybe' and 'System.IO.IO'+ satisfy these laws.+ -}++ class Functor (f :: Type -> Type) where+ fmap :: (a -> b) -> f a -> f b++ -- -| Replace all locations in the input with the same value.+ -- The default definition is @'fmap' . 'const'@, but this may be+ -- overridden with a more efficient version.+ (<$) :: a -> f b -> f a+ (<$) = fmap . const++ infixl 4 <*>, <*, *>, <**>++ -- -| A functor with application, providing operations to+ --+ -- -* embed pure expressions ('pure'), and+ --+ -- -* sequence computations and combine their results ('<*>' and 'liftA2').+ --+ -- A minimal complete definition must include implementations of 'pure'+ -- and of either '<*>' or 'liftA2'. If it defines both, then they must behave+ -- the same as their default definitions:+ --+ -- @('<*>') = 'liftA2' 'id'@+ --+ -- @'liftA2' f x y = f '<$>' x '<*>' y@+ --+ -- Further, any definition must satisfy the following:+ --+ -- [/identity/]+ --+ -- @'pure' 'id' '<*>' v = v@+ --+ -- [/composition/]+ --+ -- @'pure' (.) '<*>' u '<*>' v '<*>' w = u '<*>' (v '<*>' w)@+ --+ -- [/homomorphism/]+ --+ -- @'pure' f '<*>' 'pure' x = 'pure' (f x)@+ --+ -- [/interchange/]+ --+ -- @u '<*>' 'pure' y = 'pure' ('$' y) '<*>' u@+ --+ --+ -- The other methods have the following default definitions, which may+ -- be overridden with equivalent specialized implementations:+ --+ -- * @u '*>' v = ('id' '<$' u) '<*>' v@+ --+ -- * @u '<*' v = 'liftA2' 'const' u v@+ --+ -- As a consequence of these laws, the 'Functor' instance for @f@ will satisfy+ --+ -- * @'fmap' f x = 'pure' f '<*>' x@+ --+ --+ -- It may be useful to note that supposing+ --+ -- @forall x y. p (q x y) = f x . g y@+ --+ -- it follows from the above that+ --+ -- @'liftA2' p ('liftA2' q u v) = 'liftA2' f u . 'liftA2' g v@+ --+ --+ -- If @f@ is also a 'Monad', it should satisfy+ --+ -- * @'pure' = 'return'@+ --+ -- * @('<*>') = 'ap'@+ --+ -- * @('*>') = ('>>')@+ --+ -- (which implies that 'pure' and '<*>' satisfy the applicative functor laws).++ class Functor f => Applicative (f :: Type -> Type) where+ -- {-# MINIMAL pure, ((<*>) | liftA2) #-}+ -- -| Lift a value.+ pure :: a -> f a++ -- -| Sequential application.+ --+ -- A few functors support an implementation of '<*>' that is more+ -- efficient than the default one.+ (<*>) :: f (a -> b) -> f a -> f b+ (<*>) = liftA2 id++ -- -| Lift a binary function to actions.+ --+ -- Some functors support an implementation of 'liftA2' that is more+ -- efficient than the default one. In particular, if 'fmap' is an+ -- expensive operation, it is likely better to use 'liftA2' than to+ -- 'fmap' over the structure and then use '<*>'.+ liftA2 :: (a -> b -> c) -> f a -> f b -> f c+ liftA2 f x = (<*>) (fmap f x)++ -- -| Sequence actions, discarding the value of the first argument.+ (*>) :: f a -> f b -> f b+ a1 *> a2 = (id <$ a1) <*> a2+ -- This is essentially the same as liftA2 (flip const), but if the+ -- Functor instance has an optimized (<$), it may be better to use+ -- that instead. Before liftA2 became a method, this definition+ -- was strictly better, but now it depends on the functor. For a+ -- functor supporting a sharing-enhancing (<$), this definition+ -- may reduce allocation by preventing a1 from ever being fully+ -- realized. In an implementation with a boring (<$) but an optimizing+ -- liftA2, it would likely be better to define (*>) using liftA2.++ -- -| Sequence actions, discarding the value of the second argument.+ (<*) :: f a -> f b -> f a+ (<*) = liftA2 const++ -- -| A variant of '<*>' with the arguments reversed.+ (<**>) :: Applicative f => f a -> f (a -> b) -> f b+ (<**>) = liftA2 (\a f -> f a)+ -- Don't use $ here, see the note at the top of the page++ -- -| Lift a function to actions.+ -- This function may be used as a value for `fmap` in a `Functor` instance.+ liftA :: Applicative f => (a -> b) -> f a -> f b+ liftA f a = pure f <*> a+ -- Caution: since this may be used for `fmap`, we can't use the obvious+ -- definition of liftA = fmap.++ -- -| Lift a ternary function to actions.+ liftA3 :: Applicative f => (a -> b -> c -> d) -> f a -> f b -> f c -> f d+ liftA3 f a b c = liftA2 f a b <*> c++ infixl 1 >>, >>=+ infixr 1 =<<++ -- -| The 'join' function is the conventional monad join operator. It+ -- is used to remove one level of monadic structure, projecting its+ -- bound argument into the outer level.+ --+ -- ==== __Examples__+ --+ -- A common use of 'join' is to run an 'IO' computation returned from+ -- an 'GHC.Conc.STM' transaction, since 'GHC.Conc.STM' transactions+ -- can't perform 'IO' directly. Recall that+ --+ -- @+ -- 'GHC.Conc.atomically' :: STM a -> IO a+ -- @+ --+ -- is used to run 'GHC.Conc.STM' transactions atomically. So, by+ -- specializing the types of 'GHC.Conc.atomically' and 'join' to+ --+ -- @+ -- 'GHC.Conc.atomically' :: STM (IO b) -> IO (IO b)+ -- 'join' :: IO (IO b) -> IO b+ -- @+ --+ -- we can compose them as+ --+ -- @+ -- 'join' . 'GHC.Conc.atomically' :: STM (IO b) -> IO b+ -- @+ --+ -- to run an 'GHC.Conc.STM' transaction and the 'IO' action it+ -- returns.+ join :: (Monad m) => m (m a) -> m a+ join x = x >>= id++ {- -| The 'Monad' class defines the basic operations over a /monad/,+ a concept from a branch of mathematics known as /category theory/.+ From the perspective of a Haskell programmer, however, it is best to+ think of a monad as an /abstract datatype/ of actions.+ Haskell's @do@ expressions provide a convenient syntax for writing+ monadic expressions.++ Instances of 'Monad' should satisfy the following laws:++ * @'return' a '>>=' k = k a@+ * @m '>>=' 'return' = m@+ * @m '>>=' (\\x -> k x '>>=' h) = (m '>>=' k) '>>=' h@++ Furthermore, the 'Monad' and 'Applicative' operations should relate as follows:++ * @'pure' = 'return'@+ * @('<*>') = 'ap'@++ The above laws imply:++ * @'fmap' f xs = xs '>>=' 'return' . f@+ * @('>>') = ('*>')@++ and that 'pure' and ('<*>') satisfy the applicative functor laws.++ The instances of 'Monad' for lists, 'Data.Maybe.Maybe' and 'System.IO.IO'+ defined in the "Prelude" satisfy these laws.+ -}+ class Applicative m => Monad (m :: Type -> Type) where+ -- -| Sequentially compose two actions, passing any value produced+ -- by the first as an argument to the second.+ (>>=) :: forall a b. m a -> (a -> m b) -> m b++ -- -| Sequentially compose two actions, discarding any value produced+ -- by the first, like sequencing operators (such as the semicolon)+ -- in imperative languages.+ (>>) :: forall a b. m a -> m b -> m b+ m >> k = m >>= \_ -> k -- See Note [Recursive bindings for Applicative/Monad]++ -- -| Inject a value into the monadic type.+ return :: a -> m a+ return = pure++ -- -| Fail with a message. This operation is not part of the+ -- mathematical definition of a monad, but is invoked on pattern-match+ -- failure in a @do@ expression.+ --+ -- As part of the MonadFail proposal (MFP), this function is moved+ -- to its own class 'MonadFail' (see "Control.Monad.Fail" for more+ -- details). The definition here will be removed in a future+ -- release.+ fail :: Symbol -> m a+ fail s = error s++ {- Note [Recursive bindings for Applicative/Monad]+ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~++ The original Applicative/Monad proposal stated that after+ implementation, the designated implementation of (>>) would become++ (>>) :: forall a b. m a -> m b -> m b+ (>>) = (*>)++ by default. You might be inclined to change this to reflect the stated+ proposal, but you really shouldn't! Why? Because people tend to define+ such instances the /other/ way around: in particular, it is perfectly+ legitimate to define an instance of Applicative (*>) in terms of (>>),+ which would lead to an infinite loop for the default implementation of+ Monad! And people do this in the wild.++ This turned into a nasty bug that was tricky to track down, and rather+ than eliminate it everywhere upstream, it's easier to just retain the+ original default.++ -}++ -- -| Same as '>>=', but with the arguments interchanged.+ (=<<) :: Monad m => (a -> m b) -> m a -> m b+ f =<< x = x >>= f++ -- -| Conditional execution of 'Applicative' expressions. For example,+ --+ -- > when debug (putStrLn "Debugging")+ --+ -- will output the string @Debugging@ if the Boolean value @debug@+ -- is 'True', and otherwise do nothing.+ when :: (Applicative f) => Bool -> f () -> f ()+ when p s = if p then s else pure ()++ -- -| Promote a function to a monad.+ liftM :: (Monad m) => (a1 -> r) -> m a1 -> m r+ liftM f m1 = do { x1 <- m1; return (f x1) }++ -- -| Promote a function to a monad, scanning the monadic arguments from+ -- left to right. For example,+ --+ -- > liftM2 (+) [0,1] [0,2] = [0,2,1,3]+ -- > liftM2 (+) (Just 1) Nothing = Nothing+ --+ liftM2 :: (Monad m) => (a1 -> a2 -> r) -> m a1 -> m a2 -> m r+ liftM2 f m1 m2 = do { x1 <- m1; x2 <- m2; return (f x1 x2) }+ -- Caution: since this may be used for `liftA2`, we can't use the obvious+ -- definition of liftM2 = liftA2.++ -- -| Promote a function to a monad, scanning the monadic arguments from+ -- left to right (cf. 'liftM2').+ liftM3 :: (Monad m) => (a1 -> a2 -> a3 -> r) -> m a1 -> m a2 -> m a3 -> m r+ liftM3 f m1 m2 m3 = do { x1 <- m1; x2 <- m2; x3 <- m3; return (f x1 x2 x3) }++ -- -| Promote a function to a monad, scanning the monadic arguments from+ -- left to right (cf. 'liftM2').+ liftM4 :: (Monad m) => (a1 -> a2 -> a3 -> a4 -> r) -> m a1 -> m a2 -> m a3 -> m a4 -> m r+ liftM4 f m1 m2 m3 m4 = do { x1 <- m1; x2 <- m2; x3 <- m3; x4 <- m4; return (f x1 x2 x3 x4) }++ -- -| Promote a function to a monad, scanning the monadic arguments from+ -- left to right (cf. 'liftM2').+ liftM5 :: (Monad m) => (a1 -> a2 -> a3 -> a4 -> a5 -> r) -> m a1 -> m a2 -> m a3 -> m a4 -> m a5 -> m r+ liftM5 f m1 m2 m3 m4 m5 = do { x1 <- m1; x2 <- m2; x3 <- m3; x4 <- m4; x5 <- m5; return (f x1 x2 x3 x4 x5) }++ {- -| In many situations, the 'liftM' operations can be replaced by uses of+ 'ap', which promotes function application.++ > return f `ap` x1 `ap` ... `ap` xn++ is equivalent to++ > liftMn f x1 x2 ... xn++ -}++ ap :: (Monad m) => m (a -> b) -> m a -> m b+ ap m1 m2 = do { x1 <- m1; x2 <- m2; return (x1 x2) }+ -- Since many Applicative instances define (<*>) = ap, we+ -- cannot define ap = (<*>)++ -- -----------------------------------------------------------------------------+ -- The Alternative class definition++ infixl 3 <|>++ -- -| A monoid on applicative functors.+ --+ -- If defined, 'some' and 'many' should be the least solutions+ -- of the equations:+ --+ -- -* @'some' v = (:) '<$>' v '<*>' 'many' v@+ --+ -- -* @'many' v = 'some' v '<|>' 'pure' []@+ class Applicative f => Alternative (f :: Type -> Type) where+ -- -| The identity of '<|>'+ empty :: f a+ -- -| An associative binary operation+ (<|>) :: f a -> f a -> f a++ {-+ some and many rely on infinite lists++ -- -| One or more.+ some :: f a -> f [a]+ some v = some_v+ where+ many_v = some_v <|> pure []+ some_v = liftA2 (:) v many_v++ -- -| Zero or more.+ many :: f a -> f [a]+ many v = many_v+ where+ many_v = some_v <|> pure []+ some_v = liftA2 (:) v many_v+ -}++ -- -| @'guard' b@ is @'pure' ()@ if @b@ is 'True',+ -- and 'empty' if @b@ is 'False'.+ guard :: (Alternative f) => Bool -> f ()+ guard True = pure ()+ guard False = empty++ -- -----------------------------------------------------------------------------+ -- The MonadPlus class definition++ -- -| Monads that also support choice and failure.+ class (Alternative m, Monad m) => MonadPlus (m :: Type -> Type) where+ -- -| The identity of 'mplus'. It should also satisfy the equations+ --+ -- > mzero >>= f = mzero+ -- > v >> mzero = mzero+ --+ -- The default definition is+ --+ -- @+ -- mzero = 'empty'+ -- @+ mzero :: m a+ mzero = empty++ -- -| An associative operation. The default definition is+ --+ -- @+ -- mplus = ('<|>')+ -- @+ mplus :: m a -> m a -> m a+ mplus = (<|>)+ |])++-- Workaround for #326+infixl 4 <$+infixl 4 <*>, <*, *>, <**>+infixl 1 >>, >>=+infixr 1 =<<+infixl 3 <|>++$(singletonsOnly [d|+ -------------------------------------------------------------------------------+ -- Instances++ deriving instance Functor Maybe+ deriving instance Functor NonEmpty+ deriving instance Functor []+ deriving instance Functor (Either a)++ instance Applicative Maybe where+ pure = Just++ Just f <*> m = fmap f m+ Nothing <*> _m = Nothing++ liftA2 f (Just x) (Just y) = Just (f x y)+ liftA2 _ Just{} Nothing = Nothing+ liftA2 _ Nothing Just{} = Nothing+ liftA2 _ Nothing Nothing = Nothing++ Just _m1 *> m2 = m2+ Nothing *> _m2 = Nothing++ instance Applicative NonEmpty where+ pure a = a :| []+ (<*>) = ap+ liftA2 = liftM2++ instance Applicative [] where+ pure x = [x]+ (<*>) = ap+ liftA2 = liftM2+ (*>) = (>>)++ instance Applicative (Either e) where+ pure = Right+ Left e <*> _ = Left e+ Right f <*> r = fmap f r++ instance Monad Maybe where+ (Just x) >>= k = k x+ Nothing >>= _ = Nothing++ (>>) = (*>)++ fail _ = Nothing++ instance Monad NonEmpty where+ (a :| as) >>= f = b :| (bs ++ bs')+ where b :| bs = f a+ bs' = as >>= toList . f+ toList (c :| cs) = c : cs++ instance Monad [] where+ xs >>= f = foldr ((++) . f) [] xs+ fail _ = []++ instance Monad (Either e) where+ Left l >>= _ = Left l+ Right r >>= k = k r++ instance Alternative Maybe where+ empty = Nothing+ Nothing <|> r = r+ l@(Just{}) <|> _ = l++ instance Alternative [] where+ empty = []+ (<|>) = (++)++ instance MonadPlus Maybe+ instance MonadPlus []+ |])
+ src/Data/Singletons/Prelude/Monad/Zip.hs view
@@ -0,0 +1,106 @@+{-# LANGUAGE DataKinds #-}+{-# LANGUAGE DefaultSignatures #-}+{-# LANGUAGE FlexibleInstances #-}+{-# LANGUAGE GADTs #-}+{-# LANGUAGE InstanceSigs #-}+{-# LANGUAGE PolyKinds #-}+{-# LANGUAGE ScopedTypeVariables #-}+{-# LANGUAGE TemplateHaskell #-}+{-# LANGUAGE TypeFamilies #-}+{-# LANGUAGE TypeOperators #-}+{-# LANGUAGE UndecidableInstances #-}++-----------------------------------------------------------------------------+-- |+-- Module : Data.Singletons.Prelude.Monad.Zip+-- Copyright : (C) 2018 Ryan Scott+-- License : BSD-style (see LICENSE)+-- Maintainer : Ryan Scott+-- Stability : experimental+-- Portability : non-portable+--+-- Defines the promoted and singled versions of the 'MonadZip' type class.+--+----------------------------------------------------------------------------++module Data.Singletons.Prelude.Monad.Zip (+ PMonadZip(..), SMonadZip(..),++ -- * Defunctionalization symbols+ MzipSym0, MzipSym1, MzipSym2,+ MzipWithSym0, MzipWithSym1, MzipWithSym2, MzipWithSym3,+ MunzipSym0, MunzipSym1,+ ) where++import Control.Monad.Zip+import Data.Functor.Identity+import Data.Kind+import Data.Monoid+import Data.Singletons.Prelude.Identity+import Data.Singletons.Prelude.Instances+import Data.Singletons.Prelude.List+ ( ZipSym0, ZipWithSym0, UnzipSym0+ , sZip, sZipWith, sUnzip )+import Data.Singletons.Prelude.Monad.Internal+import Data.Singletons.Prelude.Monoid ()+import Data.Singletons.Prelude.Tuple+import Data.Singletons.Single++$(singletonsOnly [d|+ -- -| `MonadZip` type class. Minimal definition: `mzip` or `mzipWith`+ --+ -- Instances should satisfy the laws:+ --+ -- -* Naturality :+ --+ -- > liftM (f *** g) (mzip ma mb) = mzip (liftM f ma) (liftM g mb)+ --+ -- -* Information Preservation:+ --+ -- > liftM (const ()) ma = liftM (const ()) mb+ -- > ==>+ -- > munzip (mzip ma mb) = (ma, mb)+ --+ class Monad m => MonadZip (m :: Type -> Type) where+ -- {-# MINIMAL mzip | mzipWith #-}++ mzip :: m a -> m b -> m (a,b)+ mzip = mzipWith (,)++ mzipWith :: (a -> b -> c) -> m a -> m b -> m c+ mzipWith f ma mb = liftM (uncurry f) (mzip ma mb)++ munzip :: m (a,b) -> (m a, m b)+ munzip mab = (liftM fst mab, liftM snd mab)+ -- munzip is a member of the class because sometimes+ -- you can implement it more efficiently than the+ -- above default code. See Trac #4370 comment by giorgidze++ instance MonadZip [] where+ mzip = zip+ mzipWith = zipWith+ munzip = unzip++ instance MonadZip Identity where+ mzipWith = liftM2+ munzip (Identity (a, b)) = (Identity a, Identity b)++ instance MonadZip Dual where+ -- Cannot use coerce, it's unsafe+ mzipWith = liftM2++ instance MonadZip Sum where+ mzipWith = liftM2++ instance MonadZip Product where+ mzipWith = liftM2++ instance MonadZip Maybe where+ mzipWith = liftM2++ instance MonadZip First where+ mzipWith = liftM2++ instance MonadZip Last where+ mzipWith = liftM2+ |])
+ src/Data/Singletons/Prelude/Monoid.hs view
@@ -0,0 +1,214 @@+{-# LANGUAGE DataKinds #-}+{-# LANGUAGE DefaultSignatures #-}+{-# LANGUAGE FlexibleInstances #-}+{-# LANGUAGE GADTs #-}+{-# LANGUAGE InstanceSigs #-}+{-# LANGUAGE PolyKinds #-}+{-# LANGUAGE QuantifiedConstraints #-}+{-# LANGUAGE ScopedTypeVariables #-}+{-# LANGUAGE StandaloneDeriving #-}+{-# LANGUAGE TemplateHaskell #-}+{-# LANGUAGE TypeFamilies #-}+{-# LANGUAGE TypeOperators #-}+{-# LANGUAGE UndecidableInstances #-}+{-# OPTIONS_GHC -Wno-orphans #-}++-----------------------------------------------------------------------------+-- |+-- Module : Data.Singletons.Prelude.Monoid+-- Copyright : (C) 2018 Ryan Scott+-- License : BSD-style (see LICENSE)+-- Maintainer : Ryan Scott+-- Stability : experimental+-- Portability : non-portable+--+-- Defines the promoted version of 'Monoid', 'PMonoid', and the+-- singleton version, 'SMonoid'.+--+----------------------------------------------------------------------------++module Data.Singletons.Prelude.Monoid (+ PMonoid(..), SMonoid(..),++ Sing(SDual, sGetDual, SAll, sGetAll, SAny, sGetAny, SSum, sGetSum,+ SProduct, sGetProduct, SFirst, sGetFirst, SLast, sGetLast),+ GetDual, GetAll, GetAny, GetSum, GetProduct, GetFirst, GetLast,++ SDual, SAll, SAny, SSum, SProduct, SFirst, SLast,++ -- ** Defunctionalization symbols+ MemptySym0,+ MappendSym0, MappendSym1, MappendSym2,+ MconcatSym0, MconcatSym1,+ DualSym0, DualSym1, GetDualSym0, GetDualSym1,+ AllSym0, AllSym1, GetAllSym0, GetAllSym1,+ AnySym0, AnySym1, GetAnySym0, GetAnySym1,+ SumSym0, SumSym1, GetSumSym0, GetSumSym1,+ ProductSym0, ProductSym1, GetProductSym0, GetProductSym1,+ FirstSym0, FirstSym1, GetFirstSym0, GetFirstSym1,+ LastSym0, LastSym1, GetLastSym0, GetLastSym1+ ) where++import Data.Monoid (First(..), Last(..))+import Data.Ord (Down(..))+import Data.Semigroup hiding (First(..), Last(..))+import Data.Singletons.Prelude.Base+import Data.Singletons.Prelude.Eq+import Data.Singletons.Prelude.Instances+import Data.Singletons.Prelude.Monad.Internal+import Data.Singletons.Prelude.Num+import Data.Singletons.Prelude.Ord+import Data.Singletons.Prelude.Semigroup.Internal hiding+ (Sing(SFirst, SLast), SFirst, SLast,+ FirstSym0, FirstSym1, FirstSym0KindInference,+ LastSym0, LastSym1, LastSym0KindInference,+ GetFirst, GetFirstSym0, GetFirstSym1, GetFirstSym0KindInference,+ GetLast, GetLastSym0, GetLastSym1, GetLastSym0KindInference)+import Data.Singletons.Prelude.Show+import Data.Singletons.Single+import Data.Singletons.Util++import GHC.TypeLits (Symbol)++$(singletonsOnly [d|+ -- -| The class of monoids (types with an associative binary operation that+ -- has an identity). Instances should satisfy the following laws:+ --+ -- * @x '<>' 'mempty' = x@+ --+ -- * @'mempty' '<>' x = x@+ --+ -- * @x '<>' (y '<>' z) = (x '<>' y) '<>' z@ ('Semigroup' law)+ --+ -- * @'mconcat' = 'foldr' '(<>)' 'mempty'@+ --+ -- The method names refer to the monoid of lists under concatenation,+ -- but there are many other instances.+ --+ -- Some types can be viewed as a monoid in more than one way,+ -- e.g. both addition and multiplication on numbers.+ -- In such cases we often define @newtype@s and make those instances+ -- of 'Monoid', e.g. 'Sum' and 'Product'.+ class Semigroup a => Monoid a where+ -- -| Identity of 'mappend'+ mempty :: a++ -- -| An associative operation+ --+ -- __NOTE__: This method is redundant and has the default+ -- implementation @'mappend' = '(<>)'@.+ mappend :: a -> a -> a+ mappend = (<>)++ -- -| Fold a list using the monoid.+ --+ -- For most types, the default definition for 'mconcat' will be+ -- used, but the function is included in the class definition so+ -- that an optimized version can be provided for specific types.+ mconcat :: [a] -> a+ mconcat = foldr mappend mempty++ instance Monoid [a] where+ mempty = []+ -- mconcat xss = [x | xs <- xss, x <- xs]++ instance Monoid b => Monoid (a -> b) where+ mempty _ = mempty++ instance Monoid () where+ -- Should it be strict?+ mempty = ()+ mconcat _ = ()++ instance (Monoid a, Monoid b) => Monoid (a,b) where+ mempty = (mempty, mempty)++ instance (Monoid a, Monoid b, Monoid c) => Monoid (a,b,c) where+ mempty = (mempty, mempty, mempty)++ instance (Monoid a, Monoid b, Monoid c, Monoid d) => Monoid (a,b,c,d) where+ mempty = (mempty, mempty, mempty, mempty)++ instance (Monoid a, Monoid b, Monoid c, Monoid d, Monoid e) =>+ Monoid (a,b,c,d,e) where+ mempty = (mempty, mempty, mempty, mempty, mempty)++ -- lexicographical ordering+ instance Monoid Ordering where+ mempty = EQ++ -- -| Lift a semigroup into 'Maybe' forming a 'Monoid' according to+ -- <http://en.wikipedia.org/wiki/Monoid>: \"Any semigroup @S@ may be+ -- turned into a monoid simply by adjoining an element @e@ not in @S@+ -- and defining @e*e = e@ and @e*s = s = s*e@ for all @s ∈ S@.\"+ instance Semigroup a => Monoid (Maybe a) where+ mempty = Nothing++ instance Monoid Symbol where+ mempty = ""+ |])++$(genSingletons monoidBasicTypes)+$(showSingInstances monoidBasicTypes)+$(singEqInstances monoidBasicTypes)+$(singDecideInstances monoidBasicTypes)+$(singOrdInstances monoidBasicTypes)+$(singShowInstances monoidBasicTypes)++$(singletonsOnly [d|+ instance Monoid a => Monoid (Dual a) where+ mempty = Dual mempty++ instance Monoid All where+ mempty = All True++ instance Monoid Any where+ mempty = Any False++ instance Num a => Monoid (Sum a) where+ mempty = Sum 0++ instance Num a => Monoid (Product a) where+ mempty = Product 1++ -- deriving newtype instance Monoid a => Monoid (Down a)+ instance Monoid a => Monoid (Down a) where+ mempty = Down mempty+ Down a `mappend` Down b = Down (a `mappend` b)++ -- deriving newtype instance Applicative First+ instance Applicative First where+ pure = First . pure+ First f <*> First x = First (f <*> x)++ deriving instance Functor First++ -- deriving newtype instance Monad First+ instance Monad First where+ First a >>= k = First (a >>= \x -> case k x of First y -> y)++ instance Semigroup (First a) where+ First Nothing <> b = b+ a@(First Just{}) <> _ = a++ instance Monoid (First a) where+ mempty = First Nothing++ -- deriving newtype instance Applicative Last+ instance Applicative Last where+ pure = Last . pure+ Last f <*> Last x = Last (f <*> x)++ deriving instance Functor Last++ -- deriving newtype instance Monad Last+ instance Monad Last where+ Last a >>= k = Last (a >>= \x -> case k x of Last y -> y)++ instance Semigroup (Last a) where+ a <> Last Nothing = a+ _ <> b@(Last Just {}) = b++ instance Monoid (Last a) where+ mempty = Last Nothing+ |])
src/Data/Singletons/Prelude/Num.hs view
@@ -1,6 +1,6 @@-{-# LANGUAGE TemplateHaskell, PolyKinds, DataKinds, TypeFamilies, TypeInType,+{-# LANGUAGE TemplateHaskell, PolyKinds, DataKinds, TypeFamilies, TypeOperators, GADTs, ScopedTypeVariables, UndecidableInstances,- DefaultSignatures, FlexibleContexts+ DefaultSignatures, FlexibleContexts, InstanceSigs, NoStarIsType #-} -----------------------------------------------------------------------------@@ -8,7 +8,7 @@ -- Module : Data.Singletons.Prelude.Num -- Copyright : (C) 2014 Richard Eisenberg -- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)+-- Maintainer : Ryan Scott -- Stability : experimental -- Portability : non-portable --@@ -34,8 +34,10 @@ SubtractSym0, SubtractSym1, SubtractSym2 ) where +import Data.Ord (Down(..)) import Data.Singletons.Single import Data.Singletons.Internal+import Data.Singletons.Prelude.Ord import Data.Singletons.TypeLits.Internal import Data.Singletons.Decide import qualified GHC.TypeNats as TN@@ -69,7 +71,22 @@ x - y = x + negate y negate x = 0 - x++ -- deriving newtype instance Num a => Num (Down a)+ instance Num a => Num (Down a) where+ Down a + Down b = Down (a + b)+ Down a - Down b = Down (a - b)+ Down a * Down b = Down (a * b)+ negate (Down a) = Down (negate a)+ abs (Down a) = Down (abs a)+ signum (Down a) = Down (signum a)+ fromInteger n = Down (fromInteger n) |])++-- Workaround for #326+infixl 6 ++infixl 6 -+infixl 7 * -- PNum instance type family SignumNat (a :: Nat) :: Nat where
src/Data/Singletons/Prelude/Ord.hs view
@@ -1,13 +1,15 @@ {-# LANGUAGE TemplateHaskell, DataKinds, PolyKinds, ScopedTypeVariables, TypeFamilies, TypeOperators, GADTs, UndecidableInstances,- FlexibleContexts, DefaultSignatures, InstanceSigs, TypeInType #-}+ FlexibleContexts, DefaultSignatures, InstanceSigs,+ StandaloneDeriving, FlexibleInstances #-}+{-# OPTIONS_GHC -Wno-orphans #-} ----------------------------------------------------------------------------- -- | -- Module : Data.Singletons.Prelude.Ord -- Copyright : (C) 2013 Richard Eisenberg -- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)+-- Maintainer : Ryan Scott -- Stability : experimental -- Portability : non-portable --@@ -25,8 +27,10 @@ -- it returns its first argument. thenCmp, ThenCmp, sThenCmp, - Sing(SLT, SEQ, SGT),+ Sing(SLT, SEQ, SGT, SDown), + SOrdering, SDown,+ -- ** Defunctionalization symbols ThenCmpSym0, ThenCmpSym1, ThenCmpSym2, LTSym0, EQSym0, GTSym0,@@ -37,9 +41,11 @@ type (>=@#@$), type (>=@#@$$), type (>=@#@$$$), MaxSym0, MaxSym1, MaxSym2, MinSym0, MinSym1, MinSym2,- ComparingSym0, ComparingSym1, ComparingSym2, ComparingSym3+ ComparingSym0, ComparingSym1, ComparingSym2, ComparingSym3,+ DownSym0, DownSym1 ) where +import Data.Ord (Down(..)) import Data.Singletons.Single import Data.Singletons.Prelude.Eq import Data.Singletons.Prelude.Instances@@ -82,6 +88,21 @@ -- > ... sortBy (comparing fst) ... comparing :: (Ord a) => (b -> a) -> b -> b -> Ordering comparing p x y = compare (p x) (p y)+ |])++-- Workaround for #326+infix 4 <=+infix 4 <+infix 4 >+infix 4 >=++$(genSingletons [''Down])++$(singletonsOnly [d|+ deriving instance Eq a => Eq (Down a)++ instance Ord a => Ord (Down a) where+ compare (Down x) (Down y) = y `compare` x |]) $(singletons [d|
+ src/Data/Singletons/Prelude/Semigroup.hs view
@@ -0,0 +1,308 @@+{-# LANGUAGE DataKinds #-}+{-# LANGUAGE DefaultSignatures #-}+{-# LANGUAGE FlexibleInstances #-}+{-# LANGUAGE GADTs #-}+{-# LANGUAGE InstanceSigs #-}+{-# LANGUAGE PolyKinds #-}+{-# LANGUAGE QuantifiedConstraints #-}+{-# LANGUAGE ScopedTypeVariables #-}+{-# LANGUAGE StandaloneDeriving #-}+{-# LANGUAGE TemplateHaskell #-}+{-# LANGUAGE TypeFamilies #-}+{-# LANGUAGE TypeOperators #-}+{-# LANGUAGE UndecidableInstances #-}+{-# OPTIONS_GHC -Wno-orphans #-}++-----------------------------------------------------------------------------+-- |+-- Module : Data.Singletons.Prelude.Semigroup+-- Copyright : (C) 2018 Ryan Scott+-- License : BSD-style (see LICENSE)+-- Maintainer : Ryan Scott+-- Stability : experimental+-- Portability : non-portable+--+-- Defines the promoted version of 'Semigroup', 'PSemigroup', and the+-- singleton version, 'SSemigroup'.+--+----------------------------------------------------------------------------++module Data.Singletons.Prelude.Semigroup (+ PSemigroup(..), SSemigroup(..),++ Sing(SMin, sGetMin, SMax, sGetMax,+ SFirst, sGetFirst, SLast, sGetLast,+ SWrapMonoid, sUnwrapMonoid, SDual, sGetDual,+ SAll, sGetAll, SAny, sGetAny,+ SSum, sGetSum, SProduct, sGetProduct,+ SOption, sGetOption, SArg),+ GetMin, GetMax, GetFirst, GetLast, GetDual,+ GetAll, GetAny, GetSum, GetProduct, GetOption,++ SMin, SMax, SFirst, SLast, SWrappedMonoid, SDual,+ SAll, SAny, SSum, SProduct, SOption, SArg,++ option_, sOption_, Option_,++ -- ** Defunctionalization symbols+ type (<>@#@$), type (<>@#@$$), type (<>@#@$$$),+ SconcatSym0, SconcatSym1,+ MinSym0, MinSym1, GetMinSym0, GetMinSym1,+ MaxSym0, MaxSym1, GetMaxSym0, GetMaxSym1,+ FirstSym0, FirstSym1, GetFirstSym0, GetFirstSym1,+ LastSym0, LastSym1, GetLastSym0, GetLastSym1,+ WrapMonoidSym0, WrapMonoidSym1, UnwrapMonoidSym0, UnwrapMonoidSym1,+ DualSym0, DualSym1, GetDualSym0, GetDualSym1,+ AllSym0, AllSym1, GetAllSym0, GetAllSym1,+ AnySym0, AnySym1, GetAnySym0, GetAnySym1,+ SumSym0, SumSym1, GetSumSym0, GetSumSym1,+ ProductSym0, ProductSym1, GetProductSym0, GetProductSym1,+ OptionSym0, OptionSym1, GetOptionSym0, GetOptionSym1,+ ArgSym0, ArgSym1, ArgSym2+ ) where++import Control.Applicative+import Control.Monad+import qualified Data.Semigroup as Semi (Min(..), Max(..))+import Data.Semigroup (First(..), Last(..), WrappedMonoid(..), Option(..), Arg(..))+import Data.Singletons.Prelude.Base hiding+ (Foldr, FoldrSym0, FoldrSym1, FoldrSym2, FoldrSym3, sFoldr)+import Data.Singletons.Prelude.Enum+import Data.Singletons.Prelude.Eq+import Data.Singletons.Prelude.Foldable hiding+ ( All, AllSym0, AllSym1+ , Any, AnySym0, AnySym1+ , Product, ProductSym0, ProductSym1+ , Sum, SumSym0, SumSym1 )+import Data.Singletons.Prelude.Functor+import Data.Singletons.Prelude.Instances+import Data.Singletons.Prelude.Maybe+import Data.Singletons.Prelude.Monad.Internal+import Data.Singletons.Prelude.Monoid hiding+ (Sing(SFirst, SLast), SFirst, sGetFirst, SLast, sGetLast,+ FirstSym0, FirstSym1, LastSym0, LastSym1,+ GetFirst, GetFirstSym0, GetFirstSym1,+ GetLast, GetLastSym0, GetLastSym1)+import Data.Singletons.Prelude.Num+import Data.Singletons.Prelude.Ord hiding+ (MinSym0, MinSym1, MaxSym0, MaxSym1)+import Data.Singletons.Prelude.Semigroup.Internal+import Data.Singletons.Prelude.Show+import Data.Singletons.Prelude.Traversable+import Data.Singletons.Single+import Data.Singletons.Util++$(genSingletons [''Arg])+$(showSingInstances $ ''Option : semigroupBasicTypes)+$(singShowInstances $ ''Option : semigroupBasicTypes)++$(singletonsOnly [d|+ instance Applicative Semi.Min where+ pure = Semi.Min+ a <* _ = a+ _ *> a = a+ Semi.Min f <*> Semi.Min x = Semi.Min (f x)+ liftA2 f (Semi.Min a) (Semi.Min b) = Semi.Min (f a b)++ instance Enum a => Enum (Semi.Min a) where+ succ (Semi.Min a) = Semi.Min (succ a)+ pred (Semi.Min a) = Semi.Min (pred a)+ toEnum = Semi.Min . toEnum+ fromEnum (Semi.Min a) = fromEnum a+ enumFromTo (Semi.Min a) (Semi.Min b) = Semi.Min `map` enumFromTo a b+ enumFromThenTo (Semi.Min a) (Semi.Min b) (Semi.Min c) = Semi.Min `map` enumFromThenTo a b c++ deriving instance Functor Semi.Min++ instance Monad Semi.Min where+ (>>) = (*>)+ Semi.Min a >>= f = f a++ instance Ord a => Semigroup (Semi.Min a) where+ Semi.Min a <> Semi.Min b = Semi.Min (a `min_` b)++ instance (Ord a, Bounded a) => Monoid (Semi.Min a) where+ mempty = maxBound++ instance Num a => Num (Semi.Min a) where+ (Semi.Min a) + (Semi.Min b) = Semi.Min (a + b)+ (Semi.Min a) * (Semi.Min b) = Semi.Min (a * b)+ (Semi.Min a) - (Semi.Min b) = Semi.Min (a - b)+ negate (Semi.Min a) = Semi.Min (negate a)+ abs (Semi.Min a) = Semi.Min (abs a)+ signum (Semi.Min a) = Semi.Min (signum a)+ fromInteger = Semi.Min . fromInteger++ deriving instance Foldable Semi.Min+ deriving instance Traversable Semi.Min++ instance Applicative Semi.Max where+ pure = Semi.Max+ a <* _ = a+ _ *> a = a+ Semi.Max f <*> Semi.Max x = Semi.Max (f x)+ liftA2 f (Semi.Max a) (Semi.Max b) = Semi.Max (f a b)++ instance Enum a => Enum (Semi.Max a) where+ succ (Semi.Max a) = Semi.Max (succ a)+ pred (Semi.Max a) = Semi.Max (pred a)+ toEnum = Semi.Max . toEnum+ fromEnum (Semi.Max a) = fromEnum a+ enumFromTo (Semi.Max a) (Semi.Max b) = Semi.Max `map` enumFromTo a b+ enumFromThenTo (Semi.Max a) (Semi.Max b) (Semi.Max c) = Semi.Max `map` enumFromThenTo a b c++ deriving instance Functor Semi.Max++ instance Monad Semi.Max where+ (>>) = (*>)+ Semi.Max a >>= f = f a++ instance Ord a => Semigroup (Semi.Max a) where+ Semi.Max a <> Semi.Max b = Semi.Max (a `max_` b)++ instance (Ord a, Bounded a) => Monoid (Semi.Max a) where+ mempty = minBound++ instance Num a => Num (Semi.Max a) where+ (Semi.Max a) + (Semi.Max b) = Semi.Max (a + b)+ (Semi.Max a) * (Semi.Max b) = Semi.Max (a * b)+ (Semi.Max a) - (Semi.Max b) = Semi.Max (a - b)+ negate (Semi.Max a) = Semi.Max (negate a)+ abs (Semi.Max a) = Semi.Max (abs a)+ signum (Semi.Max a) = Semi.Max (signum a)+ fromInteger = Semi.Max . fromInteger++ deriving instance Foldable Semi.Max+ deriving instance Traversable Semi.Max++ instance Eq a => Eq (Arg a b) where+ Arg a _ == Arg b _ = a == b++ deriving instance Functor (Arg a)++ instance Ord a => Ord (Arg a b) where+ Arg a _ `compare` Arg b _ = compare a b+ min x@(Arg a _) y@(Arg b _)+ | a <= b = x+ | otherwise = y+ max x@(Arg a _) y@(Arg b _)+ | a >= b = x+ | otherwise = y++ deriving instance (Show a, Show b) => Show (Arg a b)+ deriving instance Foldable (Arg a)+ deriving instance Traversable (Arg a)++ instance Applicative First where+ pure x = First x+ a <* _ = a+ _ *> a = a+ First f <*> First x = First (f x)+ liftA2 f (First a) (First b) = First (f a b)++ instance Enum a => Enum (First a) where+ succ (First a) = First (succ a)+ pred (First a) = First (pred a)+ toEnum = First . toEnum+ fromEnum (First a) = fromEnum a+ enumFromTo (First a) (First b) = First `map` enumFromTo a b+ enumFromThenTo (First a) (First b) (First c) = First `map` enumFromThenTo a b c++ deriving instance Functor First++ instance Monad First where+ (>>) = (*>)+ First a >>= f = f a++ instance Semigroup (First a) where+ a <> _ = a++ deriving instance Foldable First+ deriving instance Traversable First++ instance Applicative Last where+ pure x = Last x+ a <* _ = a+ _ *> a = a+ Last f <*> Last x = Last (f x)+ liftA2 f (Last a) (Last b) = Last (f a b)++ instance Enum a => Enum (Last a) where+ succ (Last a) = Last (succ a)+ pred (Last a) = Last (pred a)+ toEnum = Last . toEnum+ fromEnum (Last a) = fromEnum a+ enumFromTo (Last a) (Last b) = Last `map` enumFromTo a b+ enumFromThenTo (Last a) (Last b) (Last c) = Last `map` enumFromThenTo a b c++ deriving instance Functor Last++ instance Monad Last where+ (>>) = (*>)+ Last a >>= f = f a++ instance Semigroup (Last a) where+ _ <> b = b++ deriving instance Foldable Last+ deriving instance Traversable Last++ instance Monoid m => Semigroup (WrappedMonoid m) where+ WrapMonoid a <> WrapMonoid b = WrapMonoid (a `mappend` b)++ instance Monoid m => Monoid (WrappedMonoid m) where+ mempty = WrapMonoid mempty++ instance Enum a => Enum (WrappedMonoid a) where+ succ (WrapMonoid a) = WrapMonoid (succ a)+ pred (WrapMonoid a) = WrapMonoid (pred a)+ toEnum = WrapMonoid . toEnum+ fromEnum (WrapMonoid a) = fromEnum a+ enumFromTo (WrapMonoid a) (WrapMonoid b) = WrapMonoid `map` enumFromTo a b+ enumFromThenTo (WrapMonoid a) (WrapMonoid b) (WrapMonoid c) =+ WrapMonoid `map` enumFromThenTo a b c++ instance Alternative Option where+ empty = Option Nothing+ Option Nothing <|> b = b+ a@(Option Just{}) <|> _ = a++ instance Applicative Option where+ pure a = Option (Just a)+ Option a <*> Option b = Option (a <*> b)+ liftA2 f (Option x) (Option y) = Option (liftA2 f x y)++ Option Nothing *> _ = Option Nothing+ Option Just{} *> b = b++ deriving instance Functor Option++ instance Monad Option where+ Option (Just a) >>= k = k a+ Option Nothing >>= _ = Option Nothing+ (>>) = (*>)++ instance MonadPlus Option++ -- deriving newtype instance Semigroup a => Semigroup (Option a)+ instance Semigroup a => Semigroup (Option a) where+ Option a <> Option b = Option (a <> b)++ instance Semigroup a => Monoid (Option a) where+ mempty = Option Nothing++ instance Foldable Option where+ foldMap f (Option (Just m)) = f m+ foldMap _ (Option Nothing) = mempty++ instance Traversable Option where+ traverse f (Option (Just a)) = Option . Just <$> f a+ traverse _ (Option Nothing) = pure (Option Nothing)+ |])++$(singletons [d|+ -- Renamed to avoid name clash+ -- -| Fold an 'Option' case-wise, just like 'maybe'.+ option_ :: b -> (a -> b) -> Option a -> b+ option_ n j (Option m) = maybe_ n j m+ |])
+ src/Data/Singletons/Prelude/Semigroup/Internal.hs view
@@ -0,0 +1,280 @@+{-# LANGUAGE DataKinds #-}+{-# LANGUAGE DefaultSignatures #-}+{-# LANGUAGE FlexibleInstances #-}+{-# LANGUAGE GADTs #-}+{-# LANGUAGE InstanceSigs #-}+{-# LANGUAGE PolyKinds #-}+{-# LANGUAGE ScopedTypeVariables #-}+{-# LANGUAGE StandaloneDeriving #-}+{-# LANGUAGE TemplateHaskell #-}+{-# LANGUAGE TypeFamilies #-}+{-# LANGUAGE TypeOperators #-}+{-# LANGUAGE UndecidableInstances #-}+{-# OPTIONS_GHC -Wno-orphans #-}++-----------------------------------------------------------------------------+-- |+-- Module : Data.Singletons.Prelude.Semigroup.Internal+-- Copyright : (C) 2018 Ryan Scott+-- License : BSD-style (see LICENSE)+-- Maintainer : Ryan Scott+-- Stability : experimental+-- Portability : non-portable+--+-- Defines the promoted version of 'Semigroup', 'PSemigroup'; the+-- singleton version, 'SSemigroup'; and some @newtype@ wrappers, all+-- of which are reexported from the "Data.Semigroup" module or+-- imported directly by some other modules.+--+-- This module exists to avoid import cycles with+-- "Data.Singletons.Prelude.Monoid".+--+----------------------------------------------------------------------------++module Data.Singletons.Prelude.Semigroup.Internal where++import Data.List.NonEmpty (NonEmpty(..))+import Data.Ord (Down(..))+import Data.Proxy+import Data.Semigroup (Dual(..), All(..), Any(..), Sum(..), Product(..), Option(..))+import Data.Singletons.Internal+import Data.Singletons.Prelude.Base+import Data.Singletons.Prelude.Bool+import Data.Singletons.Prelude.Enum+import Data.Singletons.Prelude.Eq+import Data.Singletons.Prelude.Instances+import Data.Singletons.Prelude.Monad.Internal+import Data.Singletons.Prelude.Num+import Data.Singletons.Prelude.Ord hiding (MinSym0, MinSym1, MaxSym0, MaxSym1)+import Data.Singletons.Promote+import Data.Singletons.Single+import Data.Singletons.TypeLits.Internal+import Data.Singletons.Util+import qualified Data.Text as T+import Data.Void (Void)++import GHC.TypeLits (AppendSymbol, SomeSymbol(..), someSymbolVal, Symbol)++import Unsafe.Coerce++$(singletonsOnly [d|+ -- -| The class of semigroups (types with an associative binary operation).+ --+ -- Instances should satisfy the associativity law:+ --+ -- * @x '<>' (y '<>' z) = (x '<>' y) '<>' z@+ class Semigroup a where+ -- -| An associative operation.+ (<>) :: a -> a -> a+ infixr 6 <>++ -- -| Reduce a non-empty list with @\<\>@+ --+ -- The default definition should be sufficient, but this can be+ -- overridden for efficiency.+ --+ sconcat :: NonEmpty a -> a+ sconcat (a :| as) = go a as where+ go b (c:cs) = b <> go c cs+ go b [] = b++ {-+ Can't single 'stimes', since there's no singled 'Integral' class.++ -- -| Repeat a value @n@ times.+ --+ -- Given that this works on a 'Semigroup' it is allowed to fail if+ -- you request 0 or fewer repetitions, and the default definition+ -- will do so.+ --+ -- By making this a member of the class, idempotent semigroups+ -- and monoids can upgrade this to execute in /O(1)/ by+ -- picking @stimes = 'stimesIdempotent'@ or @stimes =+ -- 'stimesIdempotentMonoid'@ respectively.+ stimes :: Integral b => b -> a -> a+ stimes = stimesDefault+ -}+++ instance Semigroup [a] where+ (<>) = (++)++ instance Semigroup (NonEmpty a) where+ (a :| as) <> (b :| bs) = a :| (as ++ b : bs)++ instance Semigroup b => Semigroup (a -> b) where+ f <> g = \x -> f x <> g x++ instance Semigroup () where+ _ <> _ = ()+ sconcat _ = ()++ instance (Semigroup a, Semigroup b) => Semigroup (a, b) where+ (a,b) <> (a',b') = (a<>a',b<>b')++ instance (Semigroup a, Semigroup b, Semigroup c) => Semigroup (a, b, c) where+ (a,b,c) <> (a',b',c') = (a<>a',b<>b',c<>c')++ instance (Semigroup a, Semigroup b, Semigroup c, Semigroup d)+ => Semigroup (a, b, c, d) where+ (a,b,c,d) <> (a',b',c',d') = (a<>a',b<>b',c<>c',d<>d')++ instance (Semigroup a, Semigroup b, Semigroup c, Semigroup d, Semigroup e)+ => Semigroup (a, b, c, d, e) where+ (a,b,c,d,e) <> (a',b',c',d',e') = (a<>a',b<>b',c<>c',d<>d',e<>e')++ instance Semigroup Ordering where+ LT <> _ = LT+ EQ <> y = y+ GT <> _ = GT++ instance Semigroup a => Semigroup (Maybe a) where+ Nothing <> b = b+ a <> Nothing = a+ Just a <> Just b = Just (a <> b)++ instance Semigroup (Either a b) where+ Left _ <> b = b+ -- a <> _ = a+ a@Right{} <> _ = a++ instance Semigroup Void where+ a <> _ = a++ -- deriving newtype instance Semigroup a => Semigroup (Down a)+ instance Semigroup a => Semigroup (Down a) where+ Down a <> Down b = Down (a <> b)+ |])++-- Workaround for #326+infixr 6 <>++$(genSingletons $ ''Option : semigroupBasicTypes)+$(singBoundedInstances semigroupBasicTypes)+$(singEqInstances $ ''Option : semigroupBasicTypes)+$(singDecideInstances $ ''Option : semigroupBasicTypes)+$(singOrdInstances $ ''Option : semigroupBasicTypes)++$(singletonsOnly [d|+ instance Applicative Dual where+ pure = Dual+ Dual f <*> Dual x = Dual (f x)++ deriving instance Functor Dual++ instance Monad Dual where+ Dual a >>= k = k a++ instance Semigroup a => Semigroup (Dual a) where+ Dual a <> Dual b = Dual (b <> a)++ instance Semigroup All where+ All a <> All b = All (a && b)++ instance Semigroup Any where+ Any a <> Any b = Any (a || b)++ instance Applicative Sum where+ pure = Sum+ Sum f <*> Sum x = Sum (f x)++ deriving instance Functor Sum++ instance Monad Sum where+ Sum a >>= k = k a++ instance Num a => Semigroup (Sum a) where+ Sum a <> Sum b = Sum (a + b)++ -- deriving newtype instance Num a => Num (Sum a)+ instance Num a => Num (Sum a) where+ Sum a + Sum b = Sum (a + b)+ Sum a - Sum b = Sum (a - b)+ Sum a * Sum b = Sum (a * b)+ negate (Sum a) = Sum (negate a)+ abs (Sum a) = Sum (abs a)+ signum (Sum a) = Sum (signum a)+ fromInteger n = Sum (fromInteger n)++ instance Applicative Product where+ pure = Product+ Product f <*> Product x = Product (f x)++ deriving instance Functor Product++ instance Monad Product where+ Product a >>= k = k a++ instance Num a => Semigroup (Product a) where+ Product a <> Product b = Product (a * b)++ -- deriving newtype instance Num a => Num (Product a)+ instance Num a => Num (Product a) where+ Product a + Product b = Product (a + b)+ Product a - Product b = Product (a - b)+ Product a * Product b = Product (a * b)+ negate (Product a) = Product (negate a)+ abs (Product a) = Product (abs a)+ signum (Product a) = Product (signum a)+ fromInteger n = Product (fromInteger n)+ |])++instance PSemigroup Symbol where+ type a <> b = AppendSymbol a b++instance SSemigroup Symbol where+ sa %<> sb =+ let a = fromSing sa+ b = fromSing sb+ ex = someSymbolVal $ T.unpack $ a <> b+ in case ex of+ SomeSymbol (_ :: Proxy ab) -> unsafeCoerce (SSym :: Sing ab)++-- We need these in Data.Singletons.Prelude.Semigroup, as we need to promote+-- code that simultaneously uses the Min/Max constructors and the min/max+-- functions, which have clashing defunctionalization symbol names. Our+-- workaround is to simply define synonyms for min/max and use those instead.+min_, max_ :: Ord a => a -> a -> a+min_ = min+max_ = max++type Min_ x y = Min x y+type Max_ x y = Max x y+$(genDefunSymbols [''Min_, ''Max_])++sMin_ :: forall a (x :: a) (y :: a). SOrd a => Sing x -> Sing y -> Sing (x `Min_` y)+sMin_ = sMin++sMax_ :: forall a (x :: a) (y :: a). SOrd a => Sing x -> Sing y -> Sing (x `Max_` y)+sMax_ = sMax++-- We need these in Data.Singletons.Prelude.Foldable.+all_ :: Bool -> All+all_ = All++any_ :: Bool -> Any+any_ = Any++sum_ :: a -> Sum a+sum_ = Sum++product_ :: a -> Product a+product_ = Product++type All_ a = 'All a+type Any_ a = 'Any a+type Sum_ a = 'Sum a+type Product_ a = 'Product a+$(genDefunSymbols [''All_, ''Any_, ''Sum_, ''Product_])++sAll_ :: forall (x :: Bool). Sing x -> Sing (All_ x)+sAll_ = SAll++sAny_ :: forall (x :: Bool). Sing x -> Sing (Any_ x)+sAny_ = SAny++sSum_ :: forall a (x :: a). Sing x -> Sing (Sum_ x)+sSum_ = SSum++sProduct_ :: forall a (x :: a). Sing x -> Sing (Product_ x)+sProduct_ = SProduct
src/Data/Singletons/Prelude/Show.hs view
@@ -1,13 +1,13 @@ {-# LANGUAGE DataKinds #-} {-# LANGUAGE DefaultSignatures #-} {-# LANGUAGE EmptyCase #-}-{-# LANGUAGE ExistentialQuantification #-}+{-# LANGUAGE GADTs #-} {-# LANGUAGE InstanceSigs #-} {-# LANGUAGE PolyKinds #-} {-# LANGUAGE ScopedTypeVariables #-}+{-# LANGUAGE StandaloneDeriving #-} {-# LANGUAGE TemplateHaskell #-} {-# LANGUAGE TypeFamilies #-}-{-# LANGUAGE TypeInType #-} {-# LANGUAGE TypeOperators #-} {-# LANGUAGE UndecidableInstances #-} @@ -16,7 +16,7 @@ -- Module : Data.Singletons.Prelude.Show -- Copyright : (C) 2017 Ryan Scott -- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)+-- Maintainer : Ryan Scott -- Stability : experimental -- Portability : non-portable --@@ -26,7 +26,6 @@ module Data.Singletons.Prelude.Show ( PShow(..), SShow(..), SymbolS, SChar, show_,- type (<>), (%<>), Shows, sShows, ShowListWith, sShowListWith, ShowChar, sShowChar,@@ -41,7 +40,6 @@ ShowsPrecSym0, ShowsPrecSym1, ShowsPrecSym2, ShowsPrecSym3, Show_Sym0, Show_Sym1, ShowListSym0, ShowListSym1, ShowListSym2,- type (<>@#@$), type (<>@#@$$), type (<>@#@$$$), ShowsSym0, ShowsSym1, ShowsSym2, ShowListWithSym0, ShowListWithSym1, ShowListWithSym2, ShowListWithSym3, ShowCharSym0, ShowCharSym1, ShowCharSym2,@@ -53,12 +51,14 @@ ) where import Data.List.NonEmpty (NonEmpty)+import Data.Ord (Down) import Data.Proxy import Data.Singletons.Internal import Data.Singletons.Prelude.Base import Data.Singletons.Prelude.Instances-import Data.Singletons.Prelude.List+import Data.Singletons.Prelude.List.Internal import Data.Singletons.Prelude.Ord+import Data.Singletons.Prelude.Semigroup.Internal import Data.Singletons.Promote import Data.Singletons.Single import Data.Singletons.TypeLits@@ -154,6 +154,8 @@ => Show (a,b,c,d,e,f,g) where showsPrec _ (a,b,c,d,e,f,g) s = show_tuple [shows a, shows b, shows c, shows d, shows e, shows f, shows g] s++ deriving instance Show a => Show (Down a) |]) $(promoteOnly [d|@@ -171,8 +173,6 @@ showsNat n = showsNat (n `div` 10) . showsNat (n `mod` 10) |]) --- | Note that this instance is really, really slow, since it uses an inefficient,--- inductive definition of division behind the hood. instance PShow Nat where type ShowsPrec _ n x = ShowsNat n x
+ src/Data/Singletons/Prelude/Traversable.hs view
@@ -0,0 +1,286 @@+{-# LANGUAGE DataKinds #-}+{-# LANGUAGE DefaultSignatures #-}+{-# LANGUAGE FlexibleInstances #-}+{-# LANGUAGE GADTs #-}+{-# LANGUAGE InstanceSigs #-}+{-# LANGUAGE PolyKinds #-}+{-# LANGUAGE ScopedTypeVariables #-}+{-# LANGUAGE StandaloneDeriving #-}+{-# LANGUAGE TemplateHaskell #-}+{-# LANGUAGE TypeFamilies #-}+{-# LANGUAGE TypeOperators #-}+{-# LANGUAGE UndecidableInstances #-}+-----------------------------------------------------------------------------+-- |+-- Module : Data.Singletons.Prelude.Traversable+-- Copyright : (C) 2018 Ryan Scott+-- License : BSD-style (see LICENSE)+-- Maintainer : Ryan Scott+-- Stability : experimental+-- Portability : non-portable+--+-- Defines the promoted and singled versions of the 'Traversable' type class.+--+----------------------------------------------------------------------------++module Data.Singletons.Prelude.Traversable (+ PTraversable(..), STraversable(..),+ For, sFor,+ ForM, sForM,+ MapAccumL, sMapAccumL,+ MapAccumR, sMapAccumR,+ FmapDefault, sFmapDefault,+ FoldMapDefault, sFoldMapDefault,++ -- * Defunctionalization symbols+ TraverseSym0, TraverseSym1, TraverseSym2,+ SequenceASym0, SequenceASym1,+ MapMSym0, MapMSym1, MapMSym2,+ SequenceSym0, SequenceSym1,++ ForSym0, ForSym1, ForSym2,+ ForMSym0, ForMSym1, ForMSym2,+ MapAccumLSym0, MapAccumLSym1, MapAccumLSym2, MapAccumLSym3,+ MapAccumRSym0, MapAccumRSym1, MapAccumRSym2, MapAccumRSym3,+ FmapDefaultSym0, FmapDefaultSym1, FmapDefaultSym2,+ FoldMapDefaultSym0, FoldMapDefaultSym1, FoldMapDefaultSym2+ ) where++import Control.Applicative+import Data.Functor.Identity+import Data.Kind+import Data.List.NonEmpty (NonEmpty(..))+import Data.Monoid+import Data.Singletons.Internal+import Data.Singletons.Prelude.Base hiding (Const, ConstSym0)+import Data.Singletons.Prelude.Const+import Data.Singletons.Prelude.Foldable (PFoldable, SFoldable)+import Data.Singletons.Prelude.Functor+import Data.Singletons.Prelude.Identity+import Data.Singletons.Prelude.Instances+import Data.Singletons.Prelude.Monad.Internal+import Data.Singletons.Prelude.Monoid+import Data.Singletons.Single++newtype StateL s a = StateL (s ~> (s, a))+data instance Sing :: forall s a. StateL s a -> Type where+ SStateL :: Sing x -> Sing ('StateL x)+data StateLSym0 :: forall s a. (s ~> (s, a)) ~> StateL s a+type instance Apply StateLSym0 x = 'StateL x++newtype StateR s a = StateR (s ~> (s, a))+data instance Sing :: forall s a. StateR s a -> Type where+ SStateR :: Sing x -> Sing ('StateR x)+data StateRSym0 :: forall s a. (s ~> (s, a)) ~> StateR s a+type instance Apply StateRSym0 x = 'StateR x++$(singletonsOnly [d|+ -- -| Functors representing data structures that can be traversed from+ -- left to right.+ --+ -- A definition of 'traverse' must satisfy the following laws:+ --+ -- [/naturality/]+ -- @t . 'traverse' f = 'traverse' (t . f)@+ -- for every applicative transformation @t@+ --+ -- [/identity/]+ -- @'traverse' Identity = Identity@+ --+ -- [/composition/]+ -- @'traverse' (Compose . 'fmap' g . f) = Compose . 'fmap' ('traverse' g) . 'traverse' f@+ --+ -- A definition of 'sequenceA' must satisfy the following laws:+ --+ -- [/naturality/]+ -- @t . 'sequenceA' = 'sequenceA' . 'fmap' t@+ -- for every applicative transformation @t@+ --+ -- [/identity/]+ -- @'sequenceA' . 'fmap' Identity = Identity@+ --+ -- [/composition/]+ -- @'sequenceA' . 'fmap' Compose = Compose . 'fmap' 'sequenceA' . 'sequenceA'@+ --+ -- where an /applicative transformation/ is a function+ --+ -- @t :: (Applicative f, Applicative g) => f a -> g a@+ --+ -- preserving the 'Applicative' operations, i.e.+ --+ -- * @t ('pure' x) = 'pure' x@+ --+ -- * @t (x '<*>' y) = t x '<*>' t y@+ --+ -- and the identity functor @Identity@ and composition of functors @Compose@+ -- are defined as+ --+ -- > newtype Identity a = Identity a+ -- >+ -- > instance Functor Identity where+ -- > fmap f (Identity x) = Identity (f x)+ -- >+ -- > instance Applicative Identity where+ -- > pure x = Identity x+ -- > Identity f <*> Identity x = Identity (f x)+ -- >+ -- > newtype Compose f g a = Compose (f (g a))+ -- >+ -- > instance (Functor f, Functor g) => Functor (Compose f g) where+ -- > fmap f (Compose x) = Compose (fmap (fmap f) x)+ -- >+ -- > instance (Applicative f, Applicative g) => Applicative (Compose f g) where+ -- > pure x = Compose (pure (pure x))+ -- > Compose f <*> Compose x = Compose ((<*>) <$> f <*> x)+ --+ -- (The naturality law is implied by parametricity.)+ --+ -- Instances are similar to 'Functor', e.g. given a data type+ --+ -- > data Tree a = Empty | Leaf a | Node (Tree a) a (Tree a)+ --+ -- a suitable instance would be+ --+ -- > instance Traversable Tree where+ -- > traverse f Empty = pure Empty+ -- > traverse f (Leaf x) = Leaf <$> f x+ -- > traverse f (Node l k r) = Node <$> traverse f l <*> f k <*> traverse f r+ --+ -- This is suitable even for abstract types, as the laws for '<*>'+ -- imply a form of associativity.+ --+ -- The superclass instances should satisfy the following:+ --+ -- * In the 'Functor' instance, 'fmap' should be equivalent to traversal+ -- with the identity applicative functor ('fmapDefault').+ --+ -- * In the 'Foldable' instance, 'Data.Foldable.foldMap' should be+ -- equivalent to traversal with a constant applicative functor+ -- ('foldMapDefault').+ --+ class (Functor t, Foldable t) => Traversable (t :: Type -> Type) where+ -- {-# MINIMAL traverse | sequenceA #-}++ -- -| Map each element of a structure to an action, evaluate these actions+ -- from left to right, and collect the results. For a version that ignores+ -- the results see 'Data.Foldable.traverse_'.+ traverse :: Applicative f => (a -> f b) -> t a -> f (t b)+ traverse f = sequenceA . fmap f++ -- -| Evaluate each action in the structure from left to right, and+ -- and collect the results. For a version that ignores the results+ -- see 'Data.Foldable.sequenceA_'.+ sequenceA :: Applicative f => t (f a) -> f (t a)+ sequenceA = traverse id++ -- -| Map each element of a structure to a monadic action, evaluate+ -- these actions from left to right, and collect the results. For+ -- a version that ignores the results see 'Data.Foldable.mapM_'.+ mapM :: Monad m => (a -> m b) -> t a -> m (t b)+ mapM = traverse++ -- -| Evaluate each monadic action in the structure from left to+ -- right, and collect the results. For a version that ignores the+ -- results see 'Data.Foldable.sequence_'.+ sequence :: Monad m => t (m a) -> m (t a)+ sequence = sequenceA+ |])++$(singletonsOnly [d|+ -- instances for Prelude types++ deriving instance Traversable Maybe+ deriving instance Traversable []+ deriving instance Traversable NonEmpty+ deriving instance Traversable (Either a)+ deriving instance Traversable ((,) a)+ deriving instance Traversable (Const m)+ deriving instance Traversable Dual+ deriving instance Traversable Sum+ deriving instance Traversable Product+ deriving instance Traversable First+ deriving instance Traversable Last+ deriving instance Traversable Identity++ -- general functions++ -- -| 'for' is 'traverse' with its arguments flipped. For a version+ -- that ignores the results see 'Data.Foldable.for_'.+ for :: (Traversable t, Applicative f) => t a -> (a -> f b) -> f (t b)+ for = flip traverse++ -- -| 'forM' is 'mapM' with its arguments flipped. For a version that+ -- ignores the results see 'Data.Foldable.forM_'.+ forM :: (Traversable t, Monad m) => t a -> (a -> m b) -> m (t b)+ forM = flip mapM++ instance Functor (StateL s) where+ fmap f (StateL k) = StateL $ \ s -> let (s', v) = k s in (s', f v)++ instance Applicative (StateL s) where+ pure x = StateL (\ s -> (s, x))+ StateL kf <*> StateL kv = StateL $ \ s ->+ let (s', f) = kf s+ (s'', v) = kv s'+ in (s'', f v)+ liftA2 f (StateL kx) (StateL ky) = StateL $ \s ->+ let (s', x) = kx s+ (s'', y) = ky s'+ in (s'', f x y)++ instance Functor (StateR s) where+ fmap f (StateR k) = StateR $ \ s -> let (s', v) = k s in (s', f v)++ instance Applicative (StateR s) where+ pure x = StateR (\ s -> (s, x))+ StateR kf <*> StateR kv = StateR $ \ s ->+ let (s', v) = kv s+ (s'', f) = kf s'+ in (s'', f v)+ liftA2 f (StateR kx) (StateR ky) = StateR $ \ s ->+ let (s', y) = ky s+ (s'', x) = kx s'+ in (s'', f x y)++ -- -|The 'mapAccumL' function behaves like a combination of 'fmap'+ -- and 'foldl'; it applies a function to each element of a structure,+ -- passing an accumulating parameter from left to right, and returning+ -- a final value of this accumulator together with the new structure.+ mapAccumL :: forall t a b c. Traversable t+ => (a -> b -> (a, c)) -> a -> t b -> (a, t c)+ mapAccumL f s t = case traverse (StateL . flip f) t of+ StateL g -> g s++ -- -|The 'mapAccumR' function behaves like a combination of 'fmap'+ -- and 'foldr'; it applies a function to each element of a structure,+ -- passing an accumulating parameter from right to left, and returning+ -- a final value of this accumulator together with the new structure.+ mapAccumR :: Traversable t => (a -> b -> (a, c)) -> a -> t b -> (a, t c)+ mapAccumR f s t = case traverse (StateR . flip f) t of+ StateR g -> g s++ -- -| This function may be used as a value for `fmap` in a `Functor`+ -- instance, provided that 'traverse' is defined. (Using+ -- `fmapDefault` with a `Traversable` instance defined only by+ -- 'sequenceA' will result in infinite recursion.)+ --+ -- @+ -- 'fmapDefault' f ≡ 'runIdentity' . 'traverse' ('Identity' . f)+ -- @+ fmapDefault :: forall t a b . Traversable t+ => (a -> b) -> t a -> t b+ fmapDefault f x = case traverse (Identity . f) x of Identity y -> y++ -- -| This function may be used as a value for `Data.Foldable.foldMap`+ -- in a `Foldable` instance.+ --+ -- @+ -- 'foldMapDefault' f ≡ 'getConst' . 'traverse' ('Const' . f)+ -- @+ foldMapDefault :: forall t m a . (Traversable t, Monoid m)+ => (a -> m) -> t a -> m+ foldMapDefault f x = case traverse (mkConst . f) x of Const y -> y+ where+ mkConst :: m -> Const m ()+ mkConst = Const+ |])
src/Data/Singletons/Prelude/Tuple.hs view
@@ -1,12 +1,12 @@ {-# LANGUAGE TemplateHaskell, ScopedTypeVariables, DataKinds, PolyKinds,- RankNTypes, TypeFamilies, GADTs, UndecidableInstances, TypeInType #-}+ RankNTypes, TypeFamilies, GADTs, UndecidableInstances #-} ----------------------------------------------------------------------------- -- | -- Module : Data.Singletons.Tuple -- Copyright : (C) 2013 Richard Eisenberg -- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)+-- Maintainer : Ryan Scott -- Stability : experimental -- Portability : non-portable --
src/Data/Singletons/Prelude/Void.hs view
@@ -1,16 +1,17 @@+{-# LANGUAGE DataKinds #-} {-# LANGUAGE EmptyCase #-}-{-# LANGUAGE ExistentialQuantification #-}+{-# LANGUAGE GADTs #-}+{-# LANGUAGE PolyKinds #-} {-# LANGUAGE ScopedTypeVariables #-} {-# LANGUAGE TemplateHaskell #-} {-# LANGUAGE TypeFamilies #-}-{-# LANGUAGE TypeInType #-} {-# LANGUAGE UndecidableInstances #-} ----------------------------------------------------------------------------- -- | -- Module : Data.Singletons.Prelude.Void -- Copyright : (C) 2017 Ryan Scott -- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)+-- Maintainer : Ryan Scott -- Stability : experimental -- Portability : non-portable --
src/Data/Singletons/Promote.hs view
@@ -23,16 +23,21 @@ import Data.Singletons.Deriving.Bounded import Data.Singletons.Deriving.Enum import Data.Singletons.Deriving.Show+import Data.Singletons.Deriving.Util import Data.Singletons.Partition import Data.Singletons.Util import Data.Singletons.Syntax import Prelude hiding (exp) import Control.Applicative (Alternative(..))+import Control.Arrow (second) import Control.Monad import Control.Monad.Trans.Class (MonadTrans(..)) import Control.Monad.Trans.Maybe+import Control.Monad.Writer import qualified Data.Map.Strict as Map import Data.Map.Strict ( Map )+import qualified Data.Set as Set+import Data.Set ( Set ) import Data.Maybe import qualified GHC.LanguageExtensions.Type as LangExt @@ -41,7 +46,7 @@ genPromotions :: DsMonad q => [Name] -> q [Dec] genPromotions names = do checkForRep names- infos <- mapM reifyWithWarning names+ infos <- mapM reifyWithLocals names dinfos <- mapM dsInfo infos ddecs <- promoteM_ [] $ mapM_ promoteInfo dinfos return $ decsToTH ddecs@@ -64,11 +69,41 @@ promDecls <- promoteM_ decls $ promoteDecs ddecls return $ decsToTH promDecls --- | Generate defunctionalization symbols for existing type family+-- | Generate defunctionalization symbols for existing type families.+--+-- 'genDefunSymbols' has reasonable support for type families that use+-- dependent quantification. For instance, this:+--+-- @+-- type family MyProxy k (a :: k) :: Type where+-- MyProxy k (a :: k) = Proxy a+--+-- $('genDefunSymbols' [''MyProxy])+-- @+--+-- Will generate the following defunctionalization symbols:+--+-- @+-- data MyProxySym0 :: Type ~> k ~> Type+-- data MyProxySym1 (k :: Type) :: k ~> Type+-- @+--+-- Note that @MyProxySym0@ is a bit more general than it ought to be, since+-- there is no dependency between the first kind (@Type@) and the second kind+-- (@k@). But this would require the ability to write something like:+--+-- @+-- data MyProxySym0 :: forall (k :: Type) ~> k ~> Type+-- @+--+-- Which currently isn't possible. So for the time being, the kind of+-- @MyProxySym0@ will be slightly more general, which means that under rare+-- circumstances, you may have to provide extra type signatures if you write+-- code which exploits the dependency in @MyProxy@'s kind. genDefunSymbols :: DsMonad q => [Name] -> q [Dec] genDefunSymbols names = do checkForRep names- infos <- mapM (dsInfo <=< reifyWithWarning) names+ infos <- mapM (dsInfo <=< reifyWithLocals) names decs <- promoteMDecs [] $ concatMapM defunInfo infos return $ decsToTH decs @@ -106,26 +141,28 @@ -- | Produce an instance for 'PShow' from the given type promoteShowInstance :: DsMonad q => Name -> q [Dec]-promoteShowInstance = promoteInstance (mkShowInstance ForPromotion) "Show"+promoteShowInstance = promoteInstance mkShowInstance "Show" -- | Produce an instance for @(==)@ (type-level equality) from the given type promoteEqInstance :: DsMonad q => Name -> q [Dec] promoteEqInstance name = do (tvbs, cons) <- getDataD "I cannot make an instance of (==) for it." name- cons' <- concatMapM dsCon cons tvbs' <- mapM dsTvb tvbs- kind <- promoteType (foldType (DConT name) (map tvbToType tvbs'))+ let data_ty = foldTypeTvbs (DConT name) tvbs'+ cons' <- concatMapM (dsCon tvbs' data_ty) cons+ kind <- promoteType (foldTypeTvbs (DConT name) tvbs') inst_decs <- mkEqTypeInstance kind cons' return $ decsToTH inst_decs -promoteInstance :: DsMonad q => (Maybe DCxt -> DType -> [DCon] -> q UInstDecl)- -> String -> Name -> q [Dec]+promoteInstance :: DsMonad q => DerivDesc q -> String -> Name -> q [Dec] promoteInstance mk_inst class_name name = do (tvbs, cons) <- getDataD ("I cannot make an instance of " ++ class_name ++ " for it.") name- cons' <- concatMapM dsCon cons tvbs' <- mapM dsTvb tvbs- raw_inst <- mk_inst Nothing (foldType (DConT name) (map tvbToType tvbs')) cons'+ let data_ty = foldTypeTvbs (DConT name) tvbs'+ cons' <- concatMapM (dsCon tvbs' data_ty) cons+ let data_decl = DataDecl name tvbs' cons'+ raw_inst <- mk_inst Nothing data_ty data_decl decs <- promoteM_ [] $ void $ promoteInstanceDec Map.empty raw_inst return $ decsToTH decs @@ -167,7 +204,7 @@ -- each defining equation of foo uses it the same way. The foo -- function will be promoted to a type familty Foo like this: ----- type family Foo (n :: Nat) :: TyFun Bool Bool -> * where+-- type family Foo (n :: Nat) :: Bool ~> Bool where -- Foo Zero = Id -- Foo a = Not --@@ -181,17 +218,21 @@ promoteDecs raw_decls = do decls <- expand raw_decls -- expand type synonyms checkForRepInDecls decls- PDecs { pd_let_decs = let_decs- , pd_class_decs = classes- , pd_instance_decs = insts- , pd_data_decs = datas- , pd_derived_eq_decs = derived_eq_decs } <- partitionDecs decls+ PDecs { pd_let_decs = let_decs+ , pd_class_decs = classes+ , pd_instance_decs = insts+ , pd_data_decs = datas+ , pd_ty_syn_decs = ty_syns+ , pd_open_type_family_decs = o_tyfams+ , pd_closed_type_family_decs = c_tyfams+ , pd_derived_eq_decs = derived_eq_decs } <- partitionDecs decls + defunTypeDecls ty_syns c_tyfams o_tyfams -- promoteLetDecs returns LetBinds, which we don't need at top level _ <- promoteLetDecs noPrefix let_decs mapM_ promoteClassDec classes- let all_meth_sigs = foldMap (lde_types . cd_lde) classes- mapM_ (promoteInstanceDec all_meth_sigs) insts+ let orig_meth_sigs = foldMap (lde_types . cd_lde) classes+ mapM_ (promoteInstanceDec orig_meth_sigs) insts mapM_ promoteDerivedEqDec derived_eq_decs promoteDataDecs datas @@ -202,9 +243,8 @@ mapM_ promoteDataDec data_decs where extract_rec_selectors :: DataDecl -> PrM [DLetDec]- extract_rec_selectors (DataDecl _nd data_name tvbs cons _derivings) =- let arg_ty = foldType (DConT data_name)- (map tvbToType tvbs)+ extract_rec_selectors (DataDecl data_name tvbs cons) =+ let arg_ty = foldTypeTvbs (DConT data_name) tvbs in getRecordSelectors arg_ty cons @@ -237,8 +277,8 @@ -- -- * for each nullary data constructor we generate a type synonym promoteDataDec :: DataDecl -> PrM ()-promoteDataDec (DataDecl _nd name tvbs ctors _derivings) = do- ctorSyms <- buildDefunSymsDataD name tvbs ctors+promoteDataDec (DataDecl _name _tvbs ctors) = do+ ctorSyms <- buildDefunSymsDataD ctors emitDecs ctorSyms -- Note [CUSKification]@@ -248,7 +288,7 @@ -- seems to be no way to avoid this, so we embrace it: -- -- * If a class type variable has no explicit kind, we make no effort to--- guess it and default to *. This is OK because before TypeInType we were+-- guess it and default to *. This is OK because before GHC 8.0, we were -- limited by KProxy anyway. -- -- * If a class type variable has an explicit kind, it is preserved.@@ -267,43 +307,51 @@ , lde_infix = infix_decls } }) = do let -- a workaround for GHC Trac #12928; see Note [CUSKification]- cuskify :: DTyVarBndr -> DTyVarBndr- cuskify (DPlainTV tvname) = DKindedTV tvname DStarT- cuskify tv = tv tvbs = map cuskify tvbs' let pClsName = promoteClassName cls_name pCxt <- mapM promote_superclass_pred cxt- sig_decs <- mapM (uncurry promote_sig) (Map.toList meth_sigs)- let defaults_list = Map.toList defaults- defaults_names = map fst defaults_list- (default_decs, ann_rhss, prom_rhss)- <- mapAndUnzip3M (promoteMethod Nothing meth_sigs) defaults_list+ forallBind cls_kvs_to_bind $ do+ sig_decs <- mapM (uncurry promote_sig) (Map.toList meth_sigs)+ let defaults_list = Map.toList defaults+ defaults_names = map fst defaults_list+ (default_decs, ann_rhss, prom_rhss)+ <- mapAndUnzip3M (promoteMethod Map.empty Nothing meth_sigs) defaults_list - let infix_decls' = catMaybes $ map (uncurry promoteInfixDecl) infix_decls+ let infix_decls' = catMaybes $ map (uncurry promoteInfixDecl)+ $ Map.toList infix_decls - -- no need to do anything to the fundeps. They work as is!- emitDecs [DClassD pCxt pClsName tvbs fundeps- (sig_decs ++ default_decs ++ infix_decls')]- let defaults_list' = zip defaults_names ann_rhss- proms = zip defaults_names prom_rhss- return (decl { cd_lde = lde { lde_defns = Map.fromList defaults_list'- , lde_proms = Map.fromList proms } })+ -- no need to do anything to the fundeps. They work as is!+ emitDecs [DClassD pCxt pClsName tvbs fundeps+ (sig_decs ++ default_decs ++ infix_decls')]+ let defaults_list' = zip defaults_names ann_rhss+ proms = zip defaults_names prom_rhss+ cls_kvs_to_bind' = cls_kvs_to_bind <$ meth_sigs+ return (decl { cd_lde = lde { lde_defns = Map.fromList defaults_list'+ , lde_proms = Map.fromList proms+ , lde_bound_kvs = cls_kvs_to_bind' } }) where+ cls_kvb_names, cls_tvb_names, cls_kvs_to_bind :: Set Name+ cls_kvb_names = foldMap (foldMap fvDType . extractTvbKind) tvbs'+ cls_tvb_names = Set.fromList $ map extractTvbName tvbs'+ cls_kvs_to_bind = cls_kvb_names `Set.union` cls_tvb_names+ promote_sig :: Name -> DType -> PrM DDec promote_sig name ty = do let proName = promoteValNameLhs name (argKs, resK) <- promoteUnraveled ty args <- mapM (const $ qNewName "arg") argKs- emitDecsM $ defunctionalize proName (map Just argKs) (Just resK)+ let tvbs = zipWith DKindedTV args argKs+ emitDecsM $ defunReifyFixity proName tvbs (Just resK) return $ DOpenTypeFamilyD (DTypeFamilyHead proName- (zipWith DKindedTV args argKs)+ tvbs (DKindSig resK) Nothing) promote_superclass_pred :: DPred -> PrM DPred promote_superclass_pred = go where+ go (DForallPr {}) = fail "Cannot promote quantified constraints" go (DAppPr pr ty) = DAppPr <$> go pr <*> promoteType ty go (DSigPr pr _k) = go pr -- just ignore the kind; it can't matter go (DVarPr name) = fail $ "Cannot promote ConstraintKinds variables like "@@ -313,17 +361,20 @@ -- returns (unpromoted method name, ALetDecRHS) pairs promoteInstanceDec :: Map Name DType -> UInstDecl -> PrM AInstDecl-promoteInstanceDec meth_sigs+promoteInstanceDec orig_meth_sigs decl@(InstDecl { id_name = cls_name , id_arg_tys = inst_tys+ , id_sigs = inst_sigs , id_meths = meths }) = do cls_tvb_names <- lookup_cls_tvb_names inst_kis <- mapM promoteType inst_tys- let subst = Map.fromList $ zip cls_tvb_names inst_kis- (meths', ann_rhss, _) <- mapAndUnzip3M (promoteMethod (Just subst) meth_sigs) meths- emitDecs [DInstanceD Nothing [] (foldType (DConT pClsName)- inst_kis) meths']- return (decl { id_meths = zip (map fst meths) ann_rhss })+ let kvs_to_bind = foldMap fvDType inst_kis+ forallBind kvs_to_bind $ do+ let subst = Map.fromList $ zip cls_tvb_names inst_kis+ (meths', ann_rhss, _) <- mapAndUnzip3M (promoteMethod inst_sigs (Just subst) orig_meth_sigs) meths+ emitDecs [DInstanceD Nothing [] (foldType (DConT pClsName)+ inst_kis) meths']+ return (decl { id_meths = zip (map fst meths) ann_rhss }) where pClsName = promoteClassName cls_name @@ -379,27 +430,21 @@ that's in the type namespace) and _then_ reifies it. -} -promoteMethod :: Maybe (Map Name DKind)+promoteMethod :: Map Name DType -- InstanceSigs for methods+ -> Maybe (Map Name DKind) -- ^ instantiations for class tyvars (Nothing for default decls) -- See Note [Promoted class method kinds] -> Map Name DType -- method types -> (Name, ULetDecRHS) -> PrM (DDec, ALetDecRHS, DType) -- returns (type instance, ALetDecRHS, promoted RHS)-promoteMethod m_subst sigs_map (meth_name, meth_rhs) = do- (arg_kis, res_ki) <- lookup_meth_ty+promoteMethod inst_sigs_map m_subst orig_sigs_map (meth_name, meth_rhs) = do+ (meth_arg_kis, meth_res_ki) <- lookup_meth_ty ((_, _, _, eqns), _defuns, ann_rhs)- <- promoteLetDecRHS (Just (arg_kis, res_ki)) sigs_map noPrefix meth_name meth_rhs- meth_arg_tvs <- mapM (const $ qNewName "a") arg_kis- let -- If we're dealing with an associated type family instance, substitute- -- in the kind of the instance for better kind information in the RHS- -- helper function. If we're dealing with a default family implementation- -- (m_subst = Nothing), there's no need for a substitution.- -- See Note [Promoted class method kinds]- do_subst = maybe id substKind m_subst- meth_arg_kis' = map do_subst arg_kis- meth_res_ki' = do_subst res_ki- helperNameBase = case nameBase proName of+ <- promoteLetDecRHS (Just (meth_arg_kis, meth_res_ki)) Map.empty Map.empty+ noPrefix meth_name meth_rhs+ meth_arg_tvs <- mapM (const $ qNewName "a") meth_arg_kis+ let helperNameBase = case nameBase proName of first:_ | not (isHsLetter first) -> "TFHelper" alpha -> alpha @@ -417,13 +462,14 @@ -- strictly necessary, as kind inference can figure them out just as well. family_args = map DVarT meth_arg_tvs helperName <- newUniqueName helperNameBase+ let tvbs = zipWith DKindedTV meth_arg_tvs meth_arg_kis emitDecs [DClosedTypeFamilyD (DTypeFamilyHead helperName- (zipWith DKindedTV meth_arg_tvs meth_arg_kis')- (DKindSig meth_res_ki')+ tvbs+ (DKindSig meth_res_ki) Nothing) eqns]- emitDecsM (defunctionalize helperName (map Just meth_arg_kis') (Just meth_res_ki'))+ emitDecsM (defunctionalize helperName Nothing tvbs (Just meth_res_ki)) return ( DTySynInstD proName (DTySynEqn family_args@@ -434,19 +480,38 @@ proName = promoteValNameLhs meth_name lookup_meth_ty :: PrM ([DKind], DKind)- lookup_meth_ty = case Map.lookup meth_name sigs_map of- Nothing -> do- mb_info <- dsReifyTypeNameInfo proName- -- See Note [Using dsReifyTypeNameInfo when promoting instances]- case mb_info of- Just (DTyConI (DOpenTypeFamilyD (DTypeFamilyHead _ tvbs mb_res_ki _)) _)- -> let arg_kis = map (default_to_star . extractTvbKind) tvbs- res_ki = default_to_star (resultSigToMaybeKind mb_res_ki)- in return (arg_kis, res_ki)- _ -> fail $ "Cannot find type annotation for " ++ show proName- Just ty -> promoteUnraveled ty+ lookup_meth_ty =+ case Map.lookup meth_name inst_sigs_map of+ Just ty ->+ -- We have an InstanceSig. These are easy: no substitution for clas+ -- variables is required at all!+ promoteUnraveled ty+ Nothing -> do+ -- We don't have an InstanceSig, so we must compute the kind to use+ -- ourselves (possibly substituting for class variables below).+ (arg_kis, res_ki) <-+ case Map.lookup meth_name orig_sigs_map of+ Nothing -> do+ mb_info <- dsReifyTypeNameInfo proName+ -- See Note [Using dsReifyTypeNameInfo when promoting instances]+ case mb_info of+ Just (DTyConI (DOpenTypeFamilyD (DTypeFamilyHead _ tvbs mb_res_ki _)) _)+ -> let arg_kis = map (default_to_star . extractTvbKind) tvbs+ res_ki = default_to_star (resultSigToMaybeKind mb_res_ki)+ in return (arg_kis, res_ki)+ _ -> fail $ "Cannot find type annotation for " ++ show proName+ Just ty -> promoteUnraveled ty+ let -- If we're dealing with an associated type family instance, substitute+ -- in the kind of the instance for better kind information in the RHS+ -- helper function. If we're dealing with a default family implementation+ -- (m_subst = Nothing), there's no need for a substitution.+ -- See Note [Promoted class method kinds]+ do_subst = maybe id substKind m_subst+ meth_arg_kis' = map do_subst arg_kis+ meth_res_ki' = do_subst res_ki+ pure (meth_arg_kis', meth_res_ki') - default_to_star Nothing = DStarT+ default_to_star Nothing = DConT typeKindName default_to_star (Just k) = k {-@@ -484,22 +549,25 @@ promoteLetDecEnv :: (String, String) -> ULetDecEnv -> PrM ([DDec], ALetDecEnv) promoteLetDecEnv prefixes (LetDecEnv { lde_defns = value_env , lde_types = type_env- , lde_infix = infix_decls }) = do- let infix_decls' = catMaybes $ map (uncurry promoteInfixDecl) infix_decls+ , lde_infix = fix_env }) = do+ let infix_decls = catMaybes $ map (uncurry promoteInfixDecl)+ $ Map.toList fix_env -- promote all the declarations, producing annotated declarations let (names, rhss) = unzip $ Map.toList value_env (payloads, defun_decss, ann_rhss)- <- fmap unzip3 $ zipWithM (promoteLetDecRHS Nothing type_env prefixes) names rhss+ <- fmap unzip3 $ zipWithM (promoteLetDecRHS Nothing type_env fix_env prefixes) names rhss emitDecs $ concat defun_decss- let decs = map payload_to_dec payloads ++ infix_decls'+ bound_kvs <- allBoundKindVars+ let decs = map payload_to_dec payloads ++ infix_decls -- build the ALetDecEnv- let let_dec_env' = LetDecEnv { lde_defns = Map.fromList $ zip names ann_rhss- , lde_types = type_env- , lde_infix = infix_decls- , lde_proms = Map.empty } -- filled in promoteLetDecs+ let let_dec_env' = LetDecEnv { lde_defns = Map.fromList $ zip names ann_rhss+ , lde_types = type_env+ , lde_infix = fix_env+ , lde_proms = Map.empty -- filled in promoteLetDecs+ , lde_bound_kvs = Map.fromList $ map (, bound_kvs) names } return (decs, let_dec_env') where@@ -509,14 +577,22 @@ where sig = maybe DNoSig DKindSig m_ki -promoteInfixDecl :: Fixity -> Name -> Maybe DDec-promoteInfixDecl fixity name- | isDataConName name || not (isHsLetter (head (nameBase name)))- = Nothing -- No need to promote fixity declarations for constructor names or- -- infix names, as those fixity declarations apply to both- -- the value and type namespaces.+promoteInfixDecl :: Name -> Fixity -> Maybe DDec+promoteInfixDecl name fixity+ | nameBase name == nameBase promoted_name+ -- If a name and its promoted counterpart are the same (modulo module+ -- prefixes), then there's no need to promote a fixity declaration for+ -- that name, since the existing fixity declaration will cover both+ -- the term- and type-level versions of that name,+ --+ -- Names that fall into this category include data constructor names+ -- and infix names, with the exceptions of (.) and (!).+ -- See Note [Special cases for (.) and (!)] in Data.Singletons.Names.+ = Nothing | otherwise- = Just $ DLetDec $ DInfixD fixity (promoteValNameLhs name)+ = Just $ DLetDec $ DInfixD fixity promoted_name+ where+ promoted_name = promoteValNameLhs name -- This function is used both to promote class method defaults and normal -- let bindings. Thus, it can't quite do all the work locally and returns@@ -524,13 +600,14 @@ promoteLetDecRHS :: Maybe ([DKind], DKind) -- the promoted type of the RHS (if known) -- needed to fix #136 -> Map Name DType -- local type env't+ -> Map Name Fixity -- local fixity env't -> (String, String) -- let-binding prefixes -> Name -- name of the thing being promoted -> ULetDecRHS -- body of the thing -> PrM ( (Name, [DTyVarBndr], Maybe DKind, [DTySynEqn]) -- "type family" , [DDec] -- defunctionalization , ALetDecRHS ) -- annotated RHS-promoteLetDecRHS m_rhs_ki type_env prefixes name (UValue exp) = do+promoteLetDecRHS m_rhs_ki type_env fix_env prefixes name (UValue exp) = do (res_kind, num_arrows) <- case m_rhs_ki of Just (arg_kis, res_ki) -> return ( Just (ravelTyFun (arg_kis ++ [res_ki]))@@ -543,10 +620,13 @@ case num_arrows of 0 -> do all_locals <- allLocals- (exp', ann_exp) <- promoteExp exp+ let lde_kvs_to_bind = foldMap fvDType res_kind+ (exp', ann_exp) <- forallBind lde_kvs_to_bind $ promoteExp exp let proName = promoteValNameLhsPrefix prefixes name- defuns <- defunctionalize proName (map (const Nothing) all_locals) res_kind- return ( ( proName, map DPlainTV all_locals, res_kind+ m_fixity = Map.lookup name fix_env+ tvbs = map DPlainTV all_locals+ defuns <- defunctionalize proName m_fixity tvbs res_kind+ return ( ( proName, tvbs, res_kind , [DTySynEqn (map DVarT all_locals) exp'] ) , defuns , AValue (foldType (DConT proName) (map DVarT all_locals))@@ -555,10 +635,10 @@ names <- replicateM num_arrows (newUniqueName "a") let pats = map DVarPa names newArgs = map DVarE names- promoteLetDecRHS m_rhs_ki type_env prefixes name+ promoteLetDecRHS m_rhs_ki type_env fix_env prefixes name (UFunction [DClause pats (foldExp exp newArgs)]) -promoteLetDecRHS m_rhs_ki type_env prefixes name (UFunction clauses) = do+promoteLetDecRHS m_rhs_ki type_env fix_env prefixes name (UFunction clauses) = do numArgs <- count_args clauses (m_argKs, m_resK, ty_num_args) <- case m_rhs_ki of Just (arg_kis, res_ki) -> return (map Just arg_kis, Just res_ki, length arg_kis)@@ -573,28 +653,37 @@ | otherwise -> return (replicate numArgs Nothing, Nothing, numArgs)- let proName = promoteValNameLhsPrefix prefixes name+ let proName = promoteValNameLhsPrefix prefixes name+ m_fixity = Map.lookup name fix_env all_locals <- allLocals- defun_decs <- defunctionalize proName- (map (const Nothing) all_locals ++ m_argKs) m_resK let local_tvbs = map DPlainTV all_locals tyvarNames <- mapM (const $ qNewName "a") m_argKs- expClauses <- mapM (etaExpand (ty_num_args - numArgs)) clauses- (eqns, ann_clauses) <- mapAndUnzipM promoteClause expClauses- prom_fun <- lookupVarE name let args = zipWith inferMaybeKindTV tyvarNames m_argKs all_args = local_tvbs ++ args+ defun_decs <- defunctionalize proName m_fixity all_args m_resK+ expClauses <- mapM (etaContractOrExpand ty_num_args numArgs) clauses+ let lde_kvs_to_bind = foldMap (foldMap fvDType) m_argKs <> foldMap fvDType m_resK+ (eqns, ann_clauses) <- forallBind lde_kvs_to_bind $+ mapAndUnzipM promoteClause expClauses+ prom_fun <- lookupVarE name return ( (proName, all_args, m_resK, eqns) , defun_decs , AFunction prom_fun ty_num_args ann_clauses ) where- etaExpand :: Int -> DClause -> PrM DClause- etaExpand n (DClause pats exp) = do- names <- replicateM n (newUniqueName "a")- let newPats = map DVarPa names- newArgs = map DVarE names- return $ DClause (pats ++ newPats) (foldExp exp newArgs)+ etaContractOrExpand :: Int -> Int -> DClause -> PrM DClause+ etaContractOrExpand ty_num_args clause_num_args (DClause pats exp)+ | n >= 0 = do -- Eta-expand+ names <- replicateM n (newUniqueName "a")+ let newPats = map DVarPa names+ newArgs = map DVarE names+ return $ DClause (pats ++ newPats) (foldExp exp newArgs)+ | otherwise = do -- Eta-contract+ let (clausePats, lamPats) = splitAt ty_num_args pats+ lamExp <- mkDLamEFromDPats lamPats exp+ return $ DClause clausePats lamExp+ where+ n = ty_num_args - clause_num_args count_args (DClause pats _ : _) = return $ length pats count_args _ = fail $ "Impossible! A function without clauses."@@ -603,51 +692,62 @@ promoteClause (DClause pats exp) = do -- promoting the patterns creates variable bindings. These are passed -- to the function promoted the RHS- (types, new_vars) <- evalForPair $ mapM promotePat pats- (ty, ann_exp) <- lambdaBind new_vars $ promoteExp exp+ ((types, pats'), prom_pat_infos) <- evalForPair $ mapAndUnzipM promotePat pats+ let PromDPatInfos { prom_dpat_vars = new_vars+ , prom_dpat_sig_kvs = sig_kvs } = prom_pat_infos+ (ty, ann_exp) <- forallBind sig_kvs $+ lambdaBind new_vars $+ promoteExp exp all_locals <- allLocals -- these are bound *outside* of this clause return ( DTySynEqn (map DVarT all_locals ++ types) ty- , ADClause new_vars pats ann_exp )+ , ADClause new_vars pats' ann_exp ) promoteMatch :: DMatch -> PrM (DTySynEqn, ADMatch) promoteMatch (DMatch pat exp) = do -- promoting the patterns creates variable bindings. These are passed -- to the function promoted the RHS- (ty, new_vars) <- evalForPair $ promotePat pat- (rhs, ann_exp) <- lambdaBind new_vars $ promoteExp exp+ ((ty, pat'), prom_pat_infos) <- evalForPair $ promotePat pat+ let PromDPatInfos { prom_dpat_vars = new_vars+ , prom_dpat_sig_kvs = sig_kvs } = prom_pat_infos+ (rhs, ann_exp) <- forallBind sig_kvs $+ lambdaBind new_vars $+ promoteExp exp all_locals <- allLocals return $ ( DTySynEqn (map DVarT all_locals ++ [ty]) rhs- , ADMatch new_vars pat ann_exp)+ , ADMatch new_vars pat' ann_exp) -- promotes a term pattern into a type pattern, accumulating bound variable names-promotePat :: DPat -> QWithAux VarPromotions PrM DType-promotePat (DLitPa lit) = do- lit' <- promoteLitPat lit- return lit'+promotePat :: DPat -> QWithAux PromDPatInfos PrM (DType, ADPat)+promotePat (DLitPa lit) = (, ADLitPa lit) <$> promoteLitPat lit promotePat (DVarPa name) = do -- term vars can be symbols... type vars can't! tyName <- mkTyName name- addElement (name, tyName)- return $ DVarT tyName+ tell $ PromDPatInfos [(name, tyName)] Set.empty+ return (DVarT tyName, ADVarPa name) promotePat (DConPa name pats) = do- types <- mapM promotePat pats+ (types, pats') <- mapAndUnzipM promotePat pats let name' = unboxed_tuple_to_tuple name- return $ foldType (DConT name') types+ return (foldType (DConT name') types, ADConPa name pats') where unboxed_tuple_to_tuple n | Just deg <- unboxedTupleNameDegree_maybe n = tupleDataName deg | otherwise = n promotePat (DTildePa pat) = do qReportWarning "Lazy pattern converted into regular pattern in promotion"- promotePat pat+ second ADTildePa <$> promotePat pat promotePat (DBangPa pat) = do qReportWarning "Strict pattern converted into regular pattern in promotion"- promotePat pat+ second ADBangPa <$> promotePat pat promotePat (DSigPa pat ty) = do- promoted <- promotePat pat+ -- We must maintain the invariant that any promoted pattern signature must+ -- not have any wildcards in the underlying pattern.+ -- See Note [Singling pattern signatures].+ wildless_pat <- removeWilds pat+ (promoted, pat') <- promotePat wildless_pat ki <- promoteType ty- return $ DSigT promoted ki-promotePat DWildPa = return DWildCardT+ tell $ PromDPatInfos [] (fvDType ki)+ return (DSigT promoted ki, ADSigPa promoted pat' ki)+promotePat DWildPa = return (DWildCardT, ADWildPa) promoteExp :: DExp -> PrM (DType, ADExp) promoteExp (DVarE name) = fmap (, ADVarE name) $ lookupVarE name@@ -677,7 +777,7 @@ Nothing) [DTySynEqn (map DVarT (all_locals ++ tyNames)) rhs]]- emitDecsM $ defunctionalize lambdaName (map (const Nothing) all_args) Nothing+ emitDecsM $ defunctionalize lambdaName Nothing tvbs Nothing let promLambda = foldl apply (DConT (promoteTySym lambdaName 0)) (map DVarT all_locals) return (promLambda, ADLamE tyNames promLambda names ann_exp)@@ -704,7 +804,7 @@ promoteExp (DSigE exp ty) = do (exp', ann_exp) <- promoteExp exp ty' <- promoteType ty- return (DSigT exp' ty', ADSigE ann_exp ty)+ return (DSigT exp' ty', ADSigE exp' ann_exp ty) promoteExp e@(DStaticE _) = fail ("Static expressions cannot be promoted: " ++ show e) promoteLitExp :: Quasi q => Lit -> q DType@@ -733,7 +833,8 @@ -- See Note [DerivedDecl] promoteDerivedEqDec :: DerivedEqDecl -> PrM ()-promoteDerivedEqDec (DerivedDecl { ded_type = ty, ded_cons = cons }) = do+promoteDerivedEqDec (DerivedDecl { ded_type = ty+ , ded_decl = DataDecl _ _ cons }) = do kind <- promoteType ty inst_decs <- mkEqTypeInstance kind cons emitDecs inst_decs
src/Data/Singletons/Promote/Defun.hs view
@@ -15,8 +15,13 @@ import Data.Singletons.Promote.Type import Data.Singletons.Names import Language.Haskell.TH.Syntax+import Data.Singletons.Syntax import Data.Singletons.Util import Control.Monad+import qualified Data.Map.Strict as Map+import Data.Map.Strict (Map)+import Data.Maybe+import qualified Data.Set as Set defunInfo :: DInfo -> PrM [DDec] defunInfo (DTyConI dec _instances) = buildDefunSyms dec@@ -30,39 +35,78 @@ defunInfo (DPatSynI {}) = fail "Building defunctionalization symbols of pattern synonyms not supported" +defunTypeDecls :: [TySynDecl]+ -> [ClosedTypeFamilyDecl]+ -> [OpenTypeFamilyDecl]+ -> PrM ()+defunTypeDecls ty_syns c_tyfams o_tyfams = do+ defun_ty_syns <-+ concatMapM (\(TySynDecl name tvbs) -> buildDefunSymsTySynD name tvbs) ty_syns+ defun_c_tyfams <-+ concatMapM (buildDefunSymsClosedTypeFamilyD . getTypeFamilyDecl) c_tyfams+ defun_o_tyfams <-+ concatMapM (buildDefunSymsOpenTypeFamilyD . getTypeFamilyDecl) o_tyfams+ emitDecs $ defun_ty_syns ++ defun_c_tyfams ++ defun_o_tyfams+ buildDefunSyms :: DDec -> PrM [DDec]-buildDefunSyms (DDataD _new_or_data _cxt tyName tvbs ctors _derivings) =- buildDefunSymsDataD tyName tvbs ctors-buildDefunSyms (DClosedTypeFamilyD (DTypeFamilyHead name tvbs result_sig _) _) = do- let arg_m_kinds = map extractTvbKind tvbs- defunctionalize name arg_m_kinds (resultSigToMaybeKind result_sig)-buildDefunSyms (DOpenTypeFamilyD (DTypeFamilyHead name tvbs result_sig _)) = do- let arg_kinds = map (default_to_star . extractTvbKind) tvbs- res_kind = default_to_star (resultSigToMaybeKind result_sig)- default_to_star Nothing = Just DStarT- default_to_star (Just k) = Just k- defunctionalize name arg_kinds res_kind-buildDefunSyms (DTySynD name tvbs _type) = do- let arg_m_kinds = map extractTvbKind tvbs- defunctionalize name arg_m_kinds Nothing+buildDefunSyms (DDataD _new_or_data _cxt _tyName _tvbs _k ctors _derivings) =+ buildDefunSymsDataD ctors+buildDefunSyms (DClosedTypeFamilyD tf_head _) =+ buildDefunSymsClosedTypeFamilyD tf_head+buildDefunSyms (DOpenTypeFamilyD tf_head) =+ buildDefunSymsOpenTypeFamilyD tf_head+buildDefunSyms (DTySynD name tvbs _type) =+ buildDefunSymsTySynD name tvbs buildDefunSyms (DClassD _cxt name tvbs _fundeps _members) = do- let arg_m_kinds = map extractTvbKind tvbs- defunctionalize name arg_m_kinds (Just (DConT constraintName))+ defunReifyFixity name tvbs (Just (DConT constraintName)) buildDefunSyms _ = fail $ "Defunctionalization symbols can only be built for " ++ "type families and data declarations" -buildDefunSymsDataD :: Name -> [DTyVarBndr] -> [DCon] -> PrM [DDec]-buildDefunSymsDataD tyName tvbs ctors = do- let res_ty = foldType (DConT tyName) (map tvbToType tvbs)- res_ki <- promoteType res_ty- concatMapM (promoteCtor res_ki) ctors+buildDefunSymsClosedTypeFamilyD :: DTypeFamilyHead -> PrM [DDec]+buildDefunSymsClosedTypeFamilyD = buildDefunSymsTypeFamilyHead id id++buildDefunSymsOpenTypeFamilyD :: DTypeFamilyHead -> PrM [DDec]+buildDefunSymsOpenTypeFamilyD = buildDefunSymsTypeFamilyHead cuskify default_to_star where- promoteCtor :: DKind -> DCon -> PrM [DDec]- promoteCtor promotedKind ctor = do+ default_to_star :: Maybe DKind -> Maybe DKind+ default_to_star Nothing = Just $ DConT typeKindName+ default_to_star (Just k) = Just k++buildDefunSymsTypeFamilyHead+ :: (DTyVarBndr -> DTyVarBndr)+ -> (Maybe DKind -> Maybe DKind)+ -> DTypeFamilyHead -> PrM [DDec]+buildDefunSymsTypeFamilyHead default_tvb default_kind+ (DTypeFamilyHead name tvbs result_sig _) = do+ let arg_tvbs = map default_tvb tvbs+ res_kind = default_kind (resultSigToMaybeKind result_sig)+ defunReifyFixity name arg_tvbs res_kind++buildDefunSymsTySynD :: Name -> [DTyVarBndr] -> PrM [DDec]+buildDefunSymsTySynD name tvbs =+ defunReifyFixity name tvbs Nothing++buildDefunSymsDataD :: [DCon] -> PrM [DDec]+buildDefunSymsDataD ctors =+ concatMapM promoteCtor ctors+ where+ promoteCtor :: DCon -> PrM [DDec]+ promoteCtor ctor@(DCon _ _ _ _ res_ty) = do let (name, arg_tys) = extractNameTypes ctor+ tvb_names <- replicateM (length arg_tys) $ qNewName "t" arg_kis <- mapM promoteType arg_tys- defunctionalize name (map Just arg_kis) (Just promotedKind)+ let arg_tvbs = zipWith DKindedTV tvb_names arg_kis+ res_ki <- promoteType res_ty+ defunReifyFixity name arg_tvbs (Just res_ki) +-- Generate defunctionalization symbols for a name, using reifyFixityWithLocals+-- to determine what the fixity of each symbol should be.+-- See Note [Fixity declarations for defunctionalization symbols]+defunReifyFixity :: Name -> [DTyVarBndr] -> Maybe DKind -> PrM [DDec]+defunReifyFixity name tvbs m_res_kind = do+ m_fixity <- reifyFixityWithLocals name+ defunctionalize name m_fixity tvbs m_res_kind+ -- Generate data declarations and apply instances -- required for defunctionalization. -- For a type family:@@ -96,99 +140,393 @@ -- -- The defunctionalize function takes Maybe DKinds so that the caller can -- indicate which kinds are known and which need to be inferred.-defunctionalize :: Name -> [Maybe DKind] -> Maybe DKind -> PrM [DDec]-defunctionalize name m_arg_kinds' m_res_kind' = do- let (m_arg_kinds, m_res_kind) = eta_expand (noExactTyVars m_arg_kinds')- (noExactTyVars m_res_kind')- num_args = length m_arg_kinds+--+-- See also Note [Defunctionalization and dependent quantification]+defunctionalize :: Name+ -> Maybe Fixity -- The name's fixity, if one was declared.+ -> [DTyVarBndr] -> Maybe DKind -> PrM [DDec]+defunctionalize name m_fixity m_arg_tvbs' m_res_kind' = do+ (m_arg_tvbs, m_res_kind) <- eta_expand (noExactTyVars m_arg_tvbs')+ (noExactTyVars m_res_kind')++ let -- Implements part (2)(i) from Note [Defunctionalization and dependent quantification]+ tvb_to_type_map :: Map Name DType+ tvb_to_type_map = Map.fromList $ -- (2)(i)(c)+ map (\tvb -> (extractTvbName tvb, dTyVarBndrToDType tvb)) $+ toposortTyVarsOf $ -- (2)(i)(b)+ map dTyVarBndrToDType m_arg_tvbs+ ++ maybeToList m_res_kind -- (2)(i)(a)++ go :: Int -> [DTyVarBndr] -> Maybe DKind+ -> ([DTyVarBndr] -> DType) -- given the argument tyvar binders,+ -- produce the RHS of the Apply instance+ -> PrM [DDec]+ go _ [] _ _ = return []+ go n (m_arg : m_args) m_result mk_rhs = do+ extra_name <- qNewName "arg"+ let tyfun_name = extractTvbName m_arg+ data_name = promoteTySym name n+ next_name = promoteTySym name (n+1)+ con_name = prefixName "" ":" $ suffixName "KindInference" "###" data_name+ m_tyfun = buildTyFunArrow_maybe (extractTvbKind m_arg) m_result+ arg_params = -- Implements part (2)(ii) from+ -- Note [Defunctionalization and dependent quantification]+ map (map_tvb_kind (substType tvb_to_type_map)) $+ reverse m_args+ tyfun_param = mk_tvb tyfun_name m_tyfun+ arg_names = map extractTvbName arg_params+ params = arg_params ++ [tyfun_param]+ con_eq_ct = DConPr sameKindName `DAppPr` lhs `DAppPr` rhs+ where+ lhs = foldType (DConT data_name) (map DVarT arg_names) `apply` (DVarT extra_name)+ rhs = foldType (DConT next_name) (map DVarT (arg_names ++ [extra_name]))+ con_decl = DCon (map dropTvbKind params ++ [DPlainTV extra_name])+ [con_eq_ct]+ con_name+ (DNormalC False [])+ (foldTypeTvbs (DConT data_name) params)+ data_decl = DDataD Data [] data_name args res_ki [con_decl] []+ where+ (args, res_ki)+ = case m_tyfun of+ Nothing -> (params, Nothing)+ -- If we cannot infer the return type, don't bother+ -- trying to construct an explicit return kind.+ Just tyfun ->+ let bound_tvs = Set.fromList (map extractTvbName arg_params) `Set.union`+ foldMap (foldMap fvDType) (map extractTvbKind arg_params)+ not_bound tvb = not (extractTvbName tvb `Set.member` bound_tvs)+ tvb_to_type tvb_name = fromMaybe (DVarT tvb_name) $+ Map.lookup tvb_name tvb_to_type_map+ -- Implements part (2)(iii) from+ -- Note [Defunctionalization and dependent quantification]+ tyfun_tvbs = filter not_bound $ -- (2)(iii)(d)+ toposortTyVarsOf $ -- (2)(iii)(c)+ map tvb_to_type $ -- (2)(iii)(b)+ Set.toList $ fvDType tyfun -- (2)(iii)(a)+ in (arg_params, Just (DForallT tyfun_tvbs [] tyfun))+ app_data_ty = foldTypeTvbs (DConT data_name) m_args+ app_eqn = DTySynEqn [app_data_ty, DVarT tyfun_name]+ (mk_rhs (m_args ++ [DPlainTV tyfun_name]))+ app_decl = DTySynInstD applyName app_eqn+ suppress = DInstanceD Nothing []+ (DConT suppressClassName `DAppT` app_data_ty)+ [DLetDec $ DFunD suppressMethodName+ [DClause []+ ((DVarE 'snd) `DAppE`+ mkTupleDExp [DConE con_name,+ mkTupleDExp []])]]++ mk_rhs' = foldTypeTvbs (DConT data_name)++ -- See Note [Fixity declarations for defunctionalization symbols]+ mk_fix_decl f = DLetDec $ DInfixD f data_name+ fixity_decl = maybeToList $ fmap mk_fix_decl m_fixity++ decls <- go (n - 1) m_args m_tyfun mk_rhs'+ return $ suppress : data_decl : app_decl : fixity_decl ++ decls++ let num_args = length m_arg_tvbs sat_name = promoteTySym name num_args- tvbNames <- replicateM num_args $ qNewName "t"- let mk_rhs ns = foldType (DConT name) (map DVarT ns)- sat_dec = DTySynD sat_name (zipWith mk_tvb tvbNames m_arg_kinds) (mk_rhs tvbNames)- other_decs <- go (num_args - 1) (reverse m_arg_kinds) m_res_kind mk_rhs+ mk_rhs = foldTypeTvbs (DConT name)+ sat_dec = DTySynD sat_name m_arg_tvbs (mk_rhs m_arg_tvbs)++ other_decs <- go (num_args - 1) (reverse m_arg_tvbs) m_res_kind mk_rhs return $ sat_dec : other_decs where mk_tvb :: Name -> Maybe DKind -> DTyVarBndr mk_tvb tvb_name Nothing = DPlainTV tvb_name mk_tvb tvb_name (Just k) = DKindedTV tvb_name k - eta_expand :: [Maybe DKind] -> Maybe DKind -> ([Maybe DKind], Maybe DKind)- eta_expand m_arg_kinds Nothing = (m_arg_kinds, Nothing)- eta_expand m_arg_kinds (Just res_kind) =+ eta_expand :: [DTyVarBndr] -> Maybe DKind -> PrM ([DTyVarBndr], Maybe DKind)+ eta_expand m_arg_tvbs Nothing = pure (m_arg_tvbs, Nothing)+ eta_expand m_arg_tvbs (Just res_kind) = do let (_, _, argKs, resultK) = unravel res_kind- in (m_arg_kinds ++ (map Just argKs), Just resultK)+ tvb_names <- replicateM (length argKs) $ qNewName "e"+ let res_kind_arg_tvbs = zipWith DKindedTV tvb_names argKs+ pure (m_arg_tvbs ++ res_kind_arg_tvbs, Just resultK) - go :: Int -> [Maybe DKind] -> Maybe DKind- -> ([Name] -> DType) -- given the argument names, the RHS of the Apply instance- -> PrM [DDec]- go _ [] _ _ = return []- go n (m_arg : m_args) m_result mk_rhs = do- fst_name : rest_names <- replicateM (n + 1) (qNewName "l")- extra_name <- qNewName "arg"- let data_name = promoteTySym name n- next_name = promoteTySym name (n+1)- con_name = prefixName "" ":" $ suffixName "KindInference" "###" data_name- m_tyfun = buildTyFun_maybe m_arg m_result- arg_params = zipWith mk_tvb rest_names (reverse m_args)- tyfun_param = mk_tvb fst_name m_tyfun- arg_names = map extractTvbName arg_params- params = arg_params ++ [tyfun_param]- con_eq_ct = DConPr sameKindName `DAppPr` lhs `DAppPr` rhs- where- lhs = foldType (DConT data_name) (map DVarT arg_names) `apply` (DVarT extra_name)- rhs = foldType (DConT next_name) (map DVarT (arg_names ++ [extra_name]))- con_decl = DCon [DPlainTV extra_name]- [con_eq_ct]- con_name- (DNormalC False [])- Nothing- data_decl = DDataD Data [] data_name params [con_decl] []- app_eqn = DTySynEqn [ foldType (DConT data_name)- (map DVarT rest_names)- , DVarT fst_name ]- (mk_rhs (rest_names ++ [fst_name]))- app_decl = DTySynInstD applyName app_eqn- suppress = DInstanceD Nothing []- (DConT suppressClassName `DAppT` DConT data_name)- [DLetDec $ DFunD suppressMethodName- [DClause []- ((DVarE 'snd) `DAppE`- mkTupleDExp [DConE con_name,- mkTupleDExp []])]]+ map_tvb_kind :: (DKind -> DKind) -> DTyVarBndr -> DTyVarBndr+ map_tvb_kind _ tvb@DPlainTV{} = tvb+ map_tvb_kind f (DKindedTV n k) = DKindedTV n (f k) - mk_rhs' ns = foldType (DConT data_name) (map DVarT ns)+{-+Note [Defunctionalization and dependent quantification]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+The machinery in this module supports defunctionalizing types that use+dependent quantification, such as in the following example: - decls <- go (n - 1) m_args (addStar_maybe (buildTyFun_maybe m_arg m_result)) mk_rhs'- return $ suppress : data_decl : app_decl : decls+ type family Symmetry (a :: Proxy t) (y :: Proxy t)+ (e :: (a :: Proxy (t :: k)) :~: (y :: Proxy (t :: k))) :: Type where+ Symmetry a y _ = y :~: a -buildTyFun :: DKind -> DKind -> DKind-buildTyFun k1 k2 = DConT tyFunName `DAppT` k1 `DAppT` k2+Here is what is involved in making this happen: -buildTyFun_maybe :: Maybe DKind -> Maybe DKind -> Maybe DKind-buildTyFun_maybe m_k1 m_k2 = do- k1 <- m_k1- k2 <- m_k2- return $ DConT tyFunName `DAppT` k1 `DAppT` k2+1. When defunctionalizing, we must not only know the argument kinds, but rather+ the argument *kind variable binders*. This is essential since, for instance,+ Symmetry dependently quantifies `a` and `y` and uses them in the kind of+ `e`. If we did not track the original kind variable names, then instead of+ generating this defunctionalization symbol for Symmetry: --- Counts the arity of type level function represented with TyFun constructors-tyFunArity :: DKind -> Int-tyFunArity (DArrowT `DAppT` (DConT tyFunNm `DAppT` _ `DAppT` b) `DAppT` DStarT)- | tyFunName == tyFunNm- = 1 + tyFunArity b-tyFunArity _ = 0+ data SymmetrySym2 (a :: Proxy t) (y :: Proxy t) :: (a :~: y) ~> Type --- Checks if type is (TyFun a b -> *)-isTyFun :: DKind -> Bool-isTyFun (DArrowT `DAppT` (DConT tyFunNm `DAppT` _ `DAppT` _) `DAppT` DStarT)- | tyFunName == tyFunNm- = True-isTyFun _ = False+ We would generate something more general, like this: --- Build TyFun kind from the list of kinds+ data SymmetrySym2 (abc1 :: Proxy t) (abc2 :: Proxy t) :: (a :~: y) ~> Type++ Alas, there are times where will have no choice but to write a slightly+ more general kind than we should. For instance, consider this:++ data SymmetrySym0 :: Proxy t ~> Proxy t ~> (a :~: y) ~> Type++ This defunctionalization symbol doesn't capture the dependent quantification+ in the first and second argument kinds. But in order to do that properly,+ you'd need the ability to write something like:++ data SymmetrySym0 :: forall (a :: Proxy t) ~> forall (y :: Proxy t)+ ~> (a :~: y) ~> Type++ It is my (RGS's) belief that it is not possible to achieve something like+ this in today's GHC (see #304), so we'll just have to live with SymmetrySym0+ being slightly more general than it ought to be. In practice, this is+ unlikely to bite unless you're writing code that specifically exploits this+ dependency in just the right way.++2. I pulled a fast one earlier by writing:++ data SymmetrySym0 :: Proxy t ~> Proxy t ~> (a :~: y) ~> Type++ GHC will actually reject this, because it does not have a CUSK. There are+ two glaring problems here:++ (a) The kind of `t` is underdetermined.+ (b) `a` and `y` should have kind `Proxy t`, but this is not currently the case.++ Ultimately, the fix is to use explicit kind signatures. A naïve attempt+ would be something like this:++ data SymmetrySym0 :: Proxy (t :: (k :: Type)) ~> Proxy (t :: (k :: Type))+ ~> ((a :: Proxy (t :: (k :: Type))) :~: (y :: Proxy (t :: (k :: Type))))+ ~> Type++ While that works, it adds a nontrivial amount of clutter. Plus, it requires+ figuring out (in Template Haskell) which variables have underdetermined+ kinds and substituting for them. Blegh. A much cleaner approach is:++ data SymmetrySym0 :: forall (k :: Type) (t :: k) (a :: Proxy t) (y :: Proxy t).+ Proxy t ~> Proxy t ~> (a :~: y) ~> Type++ This time, all we have to do is put an explicit `forall` in front, and we+ achieve a CUSK without having to muck up the body of return kind. It also+ has the benefit of looking much nicer in generated code.++ Let's talk about how to achieve this feat, using SymmetrySym1 as the+ guiding example:++ (i) Before we begin defunctionalizing a type, we construct a mapping from+ variable names to their corresponding types, complete with kinds.+ For instance, in Symmetry, we would have the following map:++ { k :-> DVarT k -- k+ , t :-> DSigT (DVarT t) (DVarT k) -- (t :: k)+ , a :-> DSigT (DVarT a) (DConT ''Proxy `DAppT` DVarT t) -- (a :: Proxy t)+ , y :-> DSigT (DVarT y) (DConT ''Proxy `DAppT` DVarT y) -- (y :: Proxy t)+ , e :-> DSigT (DVarT e) (DConT ''(:~:)+ `DAppT` DSigT (DVarT a) (DConT ''Proxy `DAppT` DSigT (DVarT t) (DVarT k))+ `DAppT` DSigT (DVarT y) (DConT ''Proxy `DAppT` DSigT (DVarT t) (DVarT k)))+ -- (e :: (a :: Proxy (t :: k)) :~: (y :: Proxy (t :: k)))+ }++ Why do this? Because when constructing the `forall` in the return kind+ of a defunctionalization symbol, it's convenient to be able to know+ the kinds of everything being bound at a glance. It's not always+ possible to recover the kinds of every variable (for instance, if+ we're just given `Proxy t ~> Proxy t ~> (a :~: y) ~> Type`), so having+ this information is handy.++ To construct this map, we:++ (a) Grab the list of type variable binders (this is given as an input+ to defunctionalize, as discussed in part (1)) and turn it into a list+ of types. Also include the return kind (if there is one) in this+ list, as it may also mention type variables with explicit kinds.+ (b) Construct a flat list of all type variables mentioned in this list.+ This may involve looking in the kinds of type variables binders.+ (Note that this part is crucial—the the Singletons/PolyKinds test+ will fail to compile without it!)+ (c) Take the flat list and insert each variable into the map by+ mapping its name to its type (as demonstrated above).++ To continue the Symmetry example:++ (a) We grab the list of type variable binders++ [ (a :: Proxy t)+ , (y :: Proxy t)+ , (e :: (a :: Proxy (t :: k)) :~: (y :: Proxy (t :: k)))+ ]++ from the Symmetry declaration. Including the return kind (Type),+ we get:++ [ (a :: Proxy t)+ , (y :: Proxy t)+ , (e :: (a :: Proxy (t :: k)) :~: (y :: Proxy (t :: k)))+ , Type+ ]++ (b) We flatten this into a list of well scoped type variables:++ [ k+ , (t :: k)+ , (a :: Proxy t)+ , (y :: Proxy t)+ , (e :: (a :: Proxy (t :: k)) :~: (y :~: Proxy (t :: k)))+ ]++ (c) From this, we construct the map shown at the beginning of (i).++ (ii) Using the map, we will annotate any kind variables in the LHS of the+ declaration with their respective kinds. In this example, the LHS is:++ data SymmetrySym1 (a :: Proxy t) :: ...++ Since `t` maps to simply `(t :: k)` in the map, the LHS becomes:++ data SymmetrySym1 (a :: Proxy (t :: k)) :: ...++ Why do this? Because we need to make it apparent that `k` is bound on+ the LHS. If we don't, we might end up trying to quantify `k` in the+ return kind (see #353 for an example of what goes wrong if you try to+ do this).++ Having to explicitly annotate each occurrence of every kind variable on+ the LHS like this is a bit tiresome, especially since we don't have to+ do this in the return kind. If GHC had syntax for visible dependent+ quantification, we could avoid this step entirely and simply write:++ data SymmetrySym1 :: forall k (t :: k). forall (a :: Proxy t) -> ...++ Until GHC gains this syntax, this is the best alternative.++ (iii) When constructing each defunctionalization symbol, we will end up with+ some remaining type variable binders and a return kind. For instance:++ data SymmetrySym1 (a :: Proxy (t :: k))+ :: forall ???. Proxy t+ ~> ((a :: Proxy (t :: k)) :~: (y :: Proxy (t :: k)))+ ~> Type++ We must fill in the ??? part. Here is how we do so:++ (a) Collect all of the type variables mentioned in the return kind.+ (b) Look up each type variable's corresponding type in the map (from+ part (i)) to learn as much kind information as possible.+ (c) Perform a reverse topological sort on these types to put the+ types (and kind) variables in proper dependency order.+ (d) Filter out any variables that are already bound by the type+ variable binders that precede the return kind.++ After doing these steps, what remains goes in place of ???. Let's+ explain this with the example above:++ data SymmetrySym1 (a :: Proxy (t :: k))+ :: forall ???. Proxy t+ ~> ((a :: Proxy (t :: k)) :~: (y :: Proxy (t :: k)))+ ~> Type++ (a) [t, a, k, y]+ (b) [(t :: k), (a :: Proxy t), k, (y :: Proxy t)]+ (c) [k, (t :: k), (a :: Proxy t), (y :: Proxy t)]+ (d) [(y :: Proxy t)] (`k`, `t` and `a` were already bound)++ Therefore, we end up with:++ data SymmetrySym1 (a :: Proxy (t :: k))+ :: forall (y :: Proxy t).+ Proxy t+ ~> ((a :: Proxy (t :: k)) :~: (y :: Proxy (t :: k)))+ ~> Type+-}++-- This is a small function with large importance. When generating+-- defunctionalization data types, we often need to fill in the blank in the+-- sort of code exemplified below:+--+-- @+-- data FooSym2 a (b :: x) (c :: TyFun y z) where+-- FooSym2KindInference :: _+-- @+--+-- Where the kind of @a@ is not known. It's extremely tempting to just+-- copy-and-paste the type variable binders from the data type itself to the+-- constructor, like so:+--+-- @+-- data FooSym2 a (b :: x) (c :: TyFun y z) where+-- FooSym2KindInference :: forall a (b :: x) (c :: TyFun y z).+-- SameKind (...) (...).+-- FooSym2KindInference a b c+-- @+--+-- But this ends up being an untenable approach. Because @a@ lacks a kind+-- signature, @FooSym2@ does not have a complete, user-specified kind signature+-- (or CUSK), so GHC will fail to typecheck @FooSym2KindInference@.+--+-- Thankfully, there's a workaround—just don't give any of the constructor's+-- type variable binders any kinds:+--+-- @+-- data FooSym2 a (b :: x) (c :: TyFun y z) where+-- FooSym2KindInference :: forall a b c+-- SameKind (...) (...).+-- FooSym2KindInference a b c+-- @+--+-- GHC may be moody when it comes to CUSKs, but it's at least understanding+-- enough to typecheck this without issue. The 'dropTvbKind' function is+-- what removes the kinds used in the kind inference constructor.+dropTvbKind :: DTyVarBndr -> DTyVarBndr+dropTvbKind tvb@(DPlainTV {}) = tvb+dropTvbKind (DKindedTV n _) = DPlainTV n++-- Shorthand for building (k1 ~> k2)+buildTyFunArrow :: DKind -> DKind -> DKind+buildTyFunArrow k1 k2 = DConT tyFunArrowName `DAppT` k1 `DAppT` k2++buildTyFunArrow_maybe :: Maybe DKind -> Maybe DKind -> Maybe DKind+buildTyFunArrow_maybe m_k1 m_k2 = do+ k1 <- m_k1+ k2 <- m_k2+ return $ DConT tyFunArrowName `DAppT` k1 `DAppT` k2++-- Build (~>) kind from the list of kinds ravelTyFun :: [DKind] -> DKind ravelTyFun [] = error "Internal error: TyFun raveling nil" ravelTyFun [k] = k-ravelTyFun kinds = go tailK (buildTyFun k2 k1)+ravelTyFun kinds = go tailK (buildTyFunArrow k2 k1) where (k1 : k2 : tailK) = reverse kinds- go [] acc = addStar acc- go (k:ks) acc = go ks (buildTyFun k (addStar acc))+ go [] acc = acc+ go (k:ks) acc = go ks (buildTyFunArrow k acc)++{-+Note [Fixity declarations for defunctionalization symbols]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+Just like we promote fixity declarations, we should also generate fixity+declarations for defunctionaliztion symbols. A primary use case is the+following scenario:++ (.) :: (b -> c) -> (a -> b) -> (a -> c)+ (f . g) x = f (g x)+ infixr 9 .++One often writes (f . g . h) at the value level, but because (.) is promoted+to a type family with three arguments, this doesn't directly translate to the+type level. Instead, one must write this:++ f .@#@$$$ g .@#@$$$ h++But in order to ensure that this associates to the right as expected, one must+generate an `infixr 9 .@#@#$$$` declaration. This is why defunctionalize accepts+a Maybe Fixity argument.+-}
src/Data/Singletons/Promote/Monad.hs view
@@ -15,13 +15,15 @@ module Data.Singletons.Promote.Monad ( PrM, promoteM, promoteM_, promoteMDecs, VarPromotions, allLocals, emitDecs, emitDecsM,- lambdaBind, LetBind, letBind, lookupVarE+ lambdaBind, LetBind, letBind, lookupVarE, forallBind, allBoundKindVars ) where import Control.Monad.Reader import Control.Monad.Writer import qualified Data.Map.Strict as Map import Data.Map.Strict ( Map )+import qualified Data.Set as Set+import Data.Set ( Set ) import Language.Haskell.TH.Syntax hiding ( lift ) import Language.Haskell.TH.Desugar import Data.Singletons.Names@@ -34,12 +36,14 @@ data PrEnv = PrEnv { pr_lambda_bound :: Map Name Name , pr_let_bound :: LetExpansions+ , pr_forall_bound :: Set Name -- See Note [Explicitly quantifying kinds variables] , pr_local_decls :: [Dec] } emptyPrEnv :: PrEnv emptyPrEnv = PrEnv { pr_lambda_bound = Map.empty , pr_let_bound = Map.empty+ , pr_forall_bound = Set.empty , pr_local_decls = [] } -- the promotion monad@@ -94,6 +98,18 @@ Just ty -> return ty Nothing -> return $ promoteValRhs n +-- Add to the set of bound kind variables currently in scope.+-- See Note [Explicitly binding kind variables]+forallBind :: Set Name -> PrM a -> PrM a+forallBind kvs1 =+ local (\env@(PrEnv { pr_forall_bound = kvs2 }) ->+ env { pr_forall_bound = kvs1 `Set.union` kvs2 })++-- Look up the set of bound kind variables currently in scope.+-- See Note [Explicitly binding kind variables]+allBoundKindVars :: PrM (Set Name)+allBoundKindVars = asks pr_forall_bound+ promoteM :: DsMonad q => [Dec] -> PrM a -> q (a, [DDec]) promoteM locals (PrM rdr) = do other_locals <- localDeclarations@@ -111,3 +127,62 @@ promoteMDecs locals thing = do (decs1, decs2) <- promoteM locals thing return $ decs1 ++ decs2++{-+Note [Explicitly binding kind variables]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+We want to ensure that when we single type signatures for functions, we should+explicitly quantify every kind variable bound by a forall. For example, if we+were to single the identity function:++ identity :: forall a. a -> a+ identity x = x++We want the final result to be:++ sIdentity :: forall a (x :: a). Sing x -> Sing (Identity x)+ sIdentity sX = sX++Accomplishing this takes a bit of care during promotion. When promoting a+function, we determine what set of kind variables are currently bound at that+point and store them in an ALetDecEnv (as lde_bound_kvs), which in turn is+singled. Then, during singling, we extract every kind variable in a singled+type signature, subtract the lde_bound_kvs, and explicitly bind the variables+that remain.++For a top-level function like identity, lde_bound_kvs is the empty set. But+consider this more complicated example:++ f :: forall a. a -> a+ f = g+ where+ g :: a -> a+ g x = x++When singling, we would eventually end up in this spot:++ sF :: forall a (x :: a). Sing a -> Sing (F a)+ sF = sG+ where+ sG :: _+ sG x = x++We must make sure /not/ to fill in the following type for _:++ sF :: forall a (x :: a). Sing a -> Sing (F a)+ sF = sG+ where+ sG :: forall a (y :: a). Sing a -> Sing (G a)+ sG x = x++This would be incorrect, as the `a` bound by sF /must/ be the same one used in+sG, as per the scoping of the original `f` function. Thus, we ensure that the+bound variables from `f` are put into lde_bound_kvs when promoting `g` so+that we subtract out `a` and are left with the correct result:++ sF :: forall a (x :: a). Sing a -> Sing (F a)+ sF = sG+ where+ sG :: forall (y :: a). Sing a -> Sing (G a)+ sG x = x+-}
src/Data/Singletons/Promote/Type.hs view
@@ -41,16 +41,15 @@ return $ foldType (DSigT ty' ki) args go args (DVarT name) = return $ foldType (DVarT name) args go [] (DConT name)- | name == typeRepName = return DStarT- | name == stringName = return $ DConT symbolName- | nameBase name == nameBase repName = return DStarT+ | name == typeRepName = return $ DConT typeKindName+ | nameBase name == nameBase repName = return $ DConT typeKindName go args (DConT name) | Just n <- unboxedTupleNameDegree_maybe name = return $ foldType (DConT (tupleTypeName n)) args | otherwise = return $ foldType (DConT name) args- go [k1, k2] DArrowT = return $ addStar (DConT tyFunName `DAppT` k1 `DAppT` k2)- go _ (DLitT _) = fail "Cannot promote a type-level literal"+ go [k1, k2] DArrowT = return $ DConT tyFunArrowName `DAppT` k1 `DAppT` k2+ go _ ty@DLitT{} = pure ty go args hd = fail $ "Illegal Haskell construct encountered:\n" ++ "headed by: " ++ show hd ++ "\n" ++
src/Data/Singletons/ShowSing.hs view
@@ -1,9 +1,12 @@-{-# LANGUAGE EmptyCase #-}-{-# LANGUAGE FlexibleContexts #-}+{-# LANGUAGE ConstraintKinds #-}+{-# LANGUAGE DataKinds #-} {-# LANGUAGE FlexibleInstances #-} {-# LANGUAGE GADTs #-}+{-# LANGUAGE PolyKinds #-}+{-# LANGUAGE QuantifiedConstraints #-}+{-# LANGUAGE RankNTypes #-}+{-# LANGUAGE StandaloneDeriving #-} {-# LANGUAGE TemplateHaskell #-}-{-# LANGUAGE TypeInType #-} {-# LANGUAGE UndecidableInstances #-} {-# OPTIONS_GHC -Wno-orphans #-} @@ -12,75 +15,79 @@ -- Module : Data.Singletons.ShowSing -- Copyright : (C) 2017 Ryan Scott -- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)+-- Maintainer : Ryan Scott -- Stability : experimental -- Portability : non-portable ----- Defines the class 'ShowSing', allowing for conversion of 'Sing' values to--- readable 'String's.+-- Defines the class 'ShowSing' type synonym, which is useful for defining+-- 'Show' instances for singleton types. -- ---------------------------------------------------------------------------- module Data.Singletons.ShowSing (- -- * The 'ShowSing' class- ShowSing(..),+ -- * The 'ShowSing' type+ ShowSing ) where +import Data.Kind import Data.Singletons.Internal import Data.Singletons.Prelude.Instances import Data.Singletons.Single import Data.Singletons.TypeLits.Internal import Data.Singletons.Util- import GHC.Show (appPrec, appPrec1)-import GHC.TypeLits (symbolVal)-import qualified GHC.TypeNats as TN (natVal)----------------------------------------------------------------------------- ShowSing -------------------------------------------------------------------------------------------------------------------------------+import qualified GHC.TypeNats as TN --- | Members of the 'ShowSing' kind class can have their 'Sing' values--- converted to 'String's in a fashion similar to that of the 'Show' class.--- (In fact, this class only exists because one cannot write 'Show' instances--- for 'Sing's of the form--- @instance (forall z. Show (Sing (z :: k))) => Show (Sing (x :: [k]))@.)+-- | In addition to the promoted and singled versions of the 'Show' class that+-- @singletons@ provides, it is also useful to be able to directly define+-- 'Show' instances for singleton types themselves. Doing so is almost entirely+-- straightforward, as a derived 'Show' instance does 90 percent of the work.+-- The last 10 percent—getting the right instance context—is a bit tricky, and+-- that's where 'ShowSing' comes into play. ----- This class should not be confused with the promoted or singled versions of--- 'Show' from "Data.Singletons.Prelude.Show" (@PShow@ and @SShow@, respectively).--- The output of 'ShowSing' is intended to reflect the singleton type, whereas--- the output of @PShow@ and @SShow@ reflects the original type. That is, showing--- @SFalse@ with 'ShowSing' would yield @\"SFalse\"@, whereas @PShow@ and @SShow@--- would yield @\"False\"@.+-- As an example, let's consider the singleton type for lists. We want to write+-- an instance with the following shape: ----- Instances of this class are generated alongside singleton definitions for--- datatypes that derive a 'Show' instance. Moreover, having a 'ShowSing'--- instances makes it simple to define a 'Show' instance. For instance:+-- @+-- deriving instance ??? => Show (Sing (x :: [k]))+-- @ --+-- To figure out what should go in place of @???@, observe that we require the+-- type of each field to also be 'Show' instances. In other words, we need+-- something like @(Show (Sing (a :: k)))@. But this isn't quite right, as the+-- type variable @a@ doesn't appear in the instance head. In fact, this @a@+-- type is really referring to an existentially quantified type variable in the+-- 'SCons' constructor, so it doesn't make sense to try and use it like this.+--+-- Luckily, the @QuantifiedConstraints@ language extension provides a solution+-- to this problem. This lets you write a context of the form+-- @(forall a. Show (Sing (a :: k)))@, which demands that there be an instance+-- for @Show (Sing (a :: k))@ that is parametric in the use of @a@. Thus, our+-- final instance looks like:+-- -- @--- instance 'ShowSing' a => 'ShowSing' [a] where--- 'showsSingPrec' = ...--- instance 'ShowSing' a => 'Show' ('Sing' (x :: [a])) where--- 'showsPrec' = 'showsSingPrec'+-- deriving instance (forall a. Show (Sing (a :: k))) => Show (Sing (x :: [k])) -- @ ----- As a result, singleton definitions for datatypes that derive a 'Show'--- instance also get a 'Show' instance for the singleton type as well--- (in addition to promoted and singled 'Show' instances).+-- Because that quantified constraint is somewhat lengthy, we provide the+-- 'ShowSing' type synonym as a convenient shorthand. Thus, the above instance+-- is equivalent to: ----- To recap: 'singletons' will give you all of these for a datatype that derives--- a 'Show' instance:+-- @+-- deriving instance ShowSing k => Show (Sing (x :: [k]))+-- @ --+-- When singling a derived 'Show' instance, @singletons@ will also derive+-- a 'Show' instance for the corresponding singleton type using 'ShowSing'.+-- In other words, if you give @singletons@ a derived 'Show' instance, then+-- you'll receive the following in return:+-- -- * A promoted (@PShow@) instance -- * A singled (@SShow@) instance--- * A 'ShowSing' instance for the singleton type -- * A 'Show' instance for the singleton type -- -- What a bargain!-class ShowSing k where- -- | @'showsSingPrec' p s@ convert a 'Sing' value @p@ to a readable 'String'- -- with precedence @p@.- showsSingPrec :: Int -> Sing (a :: k) -> ShowS+type ShowSing k = (forall z. Show (Sing (z :: k)) :: Constraint) ------------------------------------------------------------ -- TypeLits instances@@ -92,23 +99,19 @@ -- the type being used using visible type application. (Thanks to @cumber on #179 -- for suggesting this implementation.) -instance ShowSing Nat where- showsSingPrec p n@SNat+instance Show (SNat n) where+ showsPrec p n@SNat = showParen (p > appPrec) ( showString "SNat @" . showsPrec appPrec1 (TN.natVal n) )-instance Show (SNat n) where- showsPrec = showsSingPrec -instance ShowSing Symbol where- showsSingPrec p s@SSym+instance Show (SSymbol s) where+ showsPrec p s@SSym = showParen (p > appPrec) ( showString "SSym @" . showsPrec appPrec1 (symbolVal s) )-instance Show (SSymbol s) where- showsPrec = showsSingPrec ------------------------------------------------------------ -- Template Haskell-generated instances
src/Data/Singletons/Sigma.hs view
@@ -1,17 +1,20 @@ {-# LANGUAGE AllowAmbiguousTypes #-}+{-# LANGUAGE DataKinds #-} {-# LANGUAGE GADTs #-}+{-# LANGUAGE PolyKinds #-} {-# LANGUAGE RankNTypes #-} {-# LANGUAGE ScopedTypeVariables #-}+{-# LANGUAGE TemplateHaskell #-} {-# LANGUAGE TypeApplications #-}+{-# LANGUAGE TypeFamilies #-} {-# LANGUAGE TypeOperators #-}-{-# LANGUAGE TypeInType #-} ----------------------------------------------------------------------------- -- | -- Module : Data.Singletons.Sigma -- Copyright : (C) 2017 Ryan Scott -- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)+-- Maintainer : Ryan Scott -- Stability : experimental -- Portability : non-portable --@@ -23,10 +26,14 @@ ( Sigma(..), Σ , projSigma1, projSigma2 , mapSigma, zipSigma++ -- * Defunctionalization symbols+ , ΣSym0, ΣSym1, ΣSym2 ) where -import Data.Kind+import Data.Kind (Type) import Data.Singletons.Internal+import Data.Singletons.Promote -- | A dependent pair. data Sigma (s :: Type) :: (s ~> Type) -> Type where@@ -35,8 +42,6 @@ -- | Unicode shorthand for 'Sigma'. type Σ (s :: Type) (t :: s ~> Type) = Sigma s t--- We can't define defunctionalization symbols for this at the moment due--- to #216 -- | Project the first element out of a dependent pair. projSigma1 :: forall s t. SingKind s => Sigma s t -> Demote s@@ -66,3 +71,5 @@ -> Sigma a p -> Sigma b q -> Sigma c r zipSigma f g ((a :: Sing (fstA :: a)) :&: p) ((b :: Sing (fstB :: b)) :&: q) = (f @@ a @@ b) :&: (g @fstA @fstB p q)++$(genDefunSymbols [''Σ])
src/Data/Singletons/Single.hs view
@@ -12,20 +12,23 @@ import Prelude hiding ( exp ) import Language.Haskell.TH hiding ( cxt )-import Language.Haskell.TH.Syntax (Quasi(..))+import Language.Haskell.TH.Syntax (NameSpace(..), Quasi(..)) import Data.Singletons.Deriving.Infer import Data.Singletons.Deriving.Ord import Data.Singletons.Deriving.Bounded import Data.Singletons.Deriving.Enum import Data.Singletons.Deriving.Show+import Data.Singletons.Deriving.Util import Data.Singletons.Util import Data.Singletons.Promote+import Data.Singletons.Promote.Defun import Data.Singletons.Promote.Monad ( promoteM ) import Data.Singletons.Promote.Type import Data.Singletons.Names import Data.Singletons.Single.Monad import Data.Singletons.Single.Type import Data.Singletons.Single.Data+import Data.Singletons.Single.Defun import Data.Singletons.Single.Fixity import Data.Singletons.Single.Eq import Data.Singletons.Syntax@@ -34,6 +37,8 @@ import qualified Data.Map.Strict as Map import Data.Map.Strict ( Map ) import Data.Maybe+import qualified Data.Set as Set+import Data.Set ( Set ) import Control.Monad import Data.List import qualified GHC.LanguageExtensions.Type as LangExt@@ -81,7 +86,7 @@ genSingletons :: DsMonad q => [Name] -> q [Dec] genSingletons names = do checkForRep names- ddecs <- concatMapM (singInfo <=< dsInfo <=< reifyWithWarning) names+ ddecs <- concatMapM (singInfo <=< dsInfo <=< reifyWithLocals) names return $ decsToTH ddecs -- | Make promoted and singleton versions of all declarations given, retaining@@ -91,8 +96,9 @@ singletons :: DsMonad q => q [Dec] -> q [Dec] singletons qdecs = do decs <- qdecs- singDecs <- wrapDesugar singTopLevelDecs decs- return (decs ++ singDecs)+ ddecs <- withLocalDeclarations decs $ dsDecs decs+ singDecs <- singTopLevelDecs decs ddecs+ return (decs ++ decsToTH singDecs) -- | Make promoted and singleton versions of all declarations given, discarding -- the original declarations. Note that a singleton based on a datatype needs@@ -136,7 +142,8 @@ (tvbs, cons) <- getDataD ("I cannot make an instance of " ++ show className ++ " for it.") name dtvbs <- mapM dsTvb tvbs- dcons <- concatMapM dsCon cons+ let data_ty = foldTypeTvbs (DConT name) dtvbs+ dcons <- concatMapM (dsCon dtvbs data_ty) cons let tyvars = map (DVarT . extractTvbName) dtvbs kind = foldType (DConT name) tyvars (scons, _) <- singM [] $ mapM singCtor dcons@@ -171,7 +178,7 @@ -- -- (Not to be confused with 'showShowInstance'.) singShowInstance :: DsMonad q => Name -> q [Dec]-singShowInstance = singInstance (mkShowInstance ForPromotion) "Show"+singShowInstance = singInstance mkShowInstance "Show" -- | Create instances of 'SShow' for the given types --@@ -179,40 +186,39 @@ singShowInstances :: DsMonad q => [Name] -> q [Dec] singShowInstances = concatMapM singShowInstance --- | Create instance of 'ShowSing' for the given type+-- | Create instance of 'Show' for the given singleton type -- -- (Not to be confused with 'singShowInstance'.)---- (We can't simply use singInstance to create ShowSing instances, because--- there's no promoted counterpart. So we use this instead.) showSingInstance :: DsMonad q => Name -> q [Dec] showSingInstance name = do- (tvbs, cons) <- getDataD ("I cannot make an instance of ShowSing for it.") name+ (tvbs, cons) <- getDataD ("I cannot make an instance of Show for it.") name dtvbs <- mapM dsTvb tvbs- dcons <- concatMapM dsCon cons- let tyvars = map (DVarT . extractTvbName) dtvbs- kind = foldType (DConT name) tyvars+ let data_ty = foldTypeTvbs (DConT name) dtvbs+ dcons <- concatMapM (dsCon dtvbs data_ty) cons+ let tyvars = map (DVarT . extractTvbName) dtvbs+ kind = foldType (DConT name) tyvars+ data_decl = DataDecl name dtvbs dcons deriv_show_decl = DerivedDecl { ded_mb_cxt = Nothing , ded_type = kind- , ded_cons = dcons }+ , ded_decl = data_decl } (show_insts, _) <- singM [] $ singDerivedShowDecs deriv_show_decl pure $ decsToTH show_insts --- | Create instances of 'ShowSing' for the given types+-- | Create instances of 'Show' for the given singleton types -- -- (Not to be confused with 'singShowInstances'.) showSingInstances :: DsMonad q => [Name] -> q [Dec] showSingInstances = concatMapM showSingInstance -singInstance :: DsMonad q- => (Maybe DCxt -> DType -> [DCon] -> q UInstDecl)- -> String -> Name -> q [Dec]+singInstance :: DsMonad q => DerivDesc q -> String -> Name -> q [Dec] singInstance mk_inst inst_name name = do (tvbs, cons) <- getDataD ("I cannot make an instance of " ++ inst_name ++ " for it.") name dtvbs <- mapM dsTvb tvbs- dcons <- concatMapM dsCon cons- raw_inst <- mk_inst Nothing (foldType (DConT name) (map tvbToType dtvbs)) dcons+ let data_ty = foldTypeTvbs (DConT name) dtvbs+ dcons <- concatMapM (dsCon dtvbs data_ty) cons+ let data_decl = DataDecl name dtvbs dcons+ raw_inst <- mk_inst Nothing data_ty data_decl (a_inst, decs) <- promoteM [] $ promoteInstanceDec Map.empty raw_inst decs' <- singDecsM [] $ (:[]) <$> singInstD a_inst@@ -233,14 +239,18 @@ singTopLevelDecs :: DsMonad q => [Dec] -> [DDec] -> q [DDec] singTopLevelDecs locals raw_decls = withLocalDeclarations locals $ do decls <- expand raw_decls -- expand type synonyms- PDecs { pd_let_decs = letDecls- , pd_class_decs = classes- , pd_instance_decs = insts- , pd_data_decs = datas- , pd_derived_eq_decs = derivedEqDecs- , pd_derived_show_decs = derivedShowDecs } <- partitionDecs decls+ PDecs { pd_let_decs = letDecls+ , pd_class_decs = classes+ , pd_instance_decs = insts+ , pd_data_decs = datas+ , pd_ty_syn_decs = ty_syns+ , pd_open_type_family_decs = o_tyfams+ , pd_closed_type_family_decs = c_tyfams+ , pd_derived_eq_decs = derivedEqDecs+ , pd_derived_show_decs = derivedShowDecs } <- partitionDecs decls ((letDecEnv, classes', insts'), promDecls) <- promoteM locals $ do+ defunTypeDecls ty_syns c_tyfams o_tyfams promoteDataDecs datas (_, letDecEnv) <- promoteLetDecs noPrefix letDecls classes' <- mapM promoteClassDec classes@@ -252,7 +262,8 @@ singDecsM locals $ do let letBinds = concatMap buildDataLets datas ++ concatMap buildMethLets classes- (newLetDecls, newDecls) <- bindLets letBinds $+ (newLetDecls, singIDefunDecls, newDecls)+ <- bindLets letBinds $ singLetDecEnv letDecEnv $ do newDataDecls <- concatMapM singDataD datas newClassDecls <- mapM singClassD classes'@@ -263,11 +274,11 @@ ++ newInstDecls ++ newDerivedEqDecs ++ newDerivedShowDecs- return $ promDecls ++ (map DLetDec newLetDecls) ++ newDecls+ return $ promDecls ++ (map DLetDec newLetDecls) ++ singIDefunDecls ++ newDecls -- see comment at top of file buildDataLets :: DataDecl -> [(Name, DExp)]-buildDataLets (DataDecl _nd _name _tvbs cons _derivings) =+buildDataLets (DataDecl _name _tvbs cons) = concatMap con_num_args cons where con_num_args :: DCon -> [(Name, DExp)]@@ -298,38 +309,43 @@ , cd_name = cls_name , cd_tvbs = cls_tvbs , cd_fds = cls_fundeps- , cd_lde = LetDecEnv { lde_defns = default_defns- , lde_types = meth_sigs- , lde_infix = fixities- , lde_proms = promoted_defaults } }) = do- (sing_sigs, _, tyvar_names, res_kis)- <- unzip4 <$> zipWithM (singTySig no_meth_defns meth_sigs)- meth_names (map promoteValRhs meth_names)- let default_sigs = catMaybes $ zipWith3 mk_default_sig meth_names sing_sigs res_kis- res_ki_map = Map.fromList (zip meth_names- (map (fromMaybe always_sig) res_kis))- sing_meths <- mapM (uncurry (singLetDecRHS (Map.fromList tyvar_names)- res_ki_map))- (Map.toList default_defns)- fixities' <- traverse (uncurry singInfixDecl) fixities- cls_cxt' <- mapM singPred cls_cxt- return $ DClassD cls_cxt'- (singClassName cls_name)- cls_tvbs- cls_fundeps -- they are fine without modification- (map DLetDec (sing_sigs ++ sing_meths ++ fixities') ++ default_sigs)+ , cd_lde = LetDecEnv { lde_defns = default_defns+ , lde_types = meth_sigs+ , lde_infix = fixities+ , lde_proms = promoted_defaults+ , lde_bound_kvs = meth_bound_kvs } }) =+ bindContext [foldPredTvbs (DConPr cls_name) cls_tvbs] $ do+ (sing_sigs, _, tyvar_names, cxts, res_kis, singIDefunss)+ <- unzip6 <$> zipWithM (singTySig no_meth_defns meth_sigs meth_bound_kvs)+ meth_names (map promoteValRhs meth_names)+ emitDecs $ concat singIDefunss+ let default_sigs = catMaybes $+ zipWith4 mk_default_sig meth_names sing_sigs tyvar_names res_kis+ res_ki_map = Map.fromList (zip meth_names+ (map (fromMaybe always_sig) res_kis))+ sing_meths <- mapM (uncurry (singLetDecRHS (Map.fromList tyvar_names)+ (Map.fromList cxts)+ res_ki_map))+ (Map.toList default_defns)+ fixities' <- traverse (uncurry singInfixDecl) $ Map.toList fixities+ cls_cxt' <- mapM singPred cls_cxt+ return $ DClassD cls_cxt'+ (singClassName cls_name)+ cls_tvbs+ cls_fundeps -- they are fine without modification+ (map DLetDec (sing_sigs ++ sing_meths ++ fixities') ++ default_sigs) where no_meth_defns = error "Internal error: can't find declared method type" always_sig = error "Internal error: no signature for default method" meth_names = Map.keys meth_sigs - mk_default_sig meth_name (DSigD s_name sty) (Just res_ki) =- DDefaultSigD s_name <$> add_constraints meth_name sty res_ki- mk_default_sig _ _ _ = error "Internal error: a singled signature isn't a signature."+ mk_default_sig meth_name (DSigD s_name sty) bound_kvs (Just res_ki) =+ DDefaultSigD s_name <$> add_constraints meth_name sty bound_kvs res_ki+ mk_default_sig _ _ _ _ = error "Internal error: a singled signature isn't a signature." - add_constraints meth_name sty res_ki = do -- Maybe monad+ add_constraints meth_name sty (_, bound_kvs) res_ki = do -- Maybe monad prom_dflt <- Map.lookup meth_name promoted_defaults- let default_pred = foldl DAppPr (DConPr equalityName)+ let default_pred = foldPred (DConPr equalityName) -- NB: Need the res_ki here to prevent ambiguous -- kinds in result-inferred default methods. -- See #175@@ -338,19 +354,37 @@ return $ DForallT tvbs (default_pred : cxt) (ravel args res) where (tvbs, cxt, args, res) = unravel sty- tvs = map tvbToType tvbs+ bound_kv_set = Set.fromList bound_kvs+ -- Filter out explicitly bound kind variables. Otherwise, if you had+ -- the following class (#312):+ --+ -- class Foo a where+ -- bar :: a -> b -> b+ -- bar _ x = x+ --+ -- Then it would be singled to:+ --+ -- class SFoo a where+ -- sBar :: forall b (x :: a) (y :: b). Sing x -> Sing y -> Sing (sBar x y)+ -- default :: forall b (x :: a) (y :: b).+ -- (Bar b x y) ~ (BarDefault b x y) => ...+ --+ -- Which applies Bar/BarDefault to b, which shouldn't happen.+ tvs = map tvbToType $+ filter (\tvb -> extractTvbName tvb `Set.member` bound_kv_set) tvbs singInstD :: AInstDecl -> SgM DDec-singInstD (InstDecl { id_cxt = cxt, id_name = inst_name- , id_arg_tys = inst_tys, id_meths = ann_meths }) = do- cxt' <- mapM singPred cxt- inst_kis <- mapM promoteType inst_tys- meths <- concatMapM (uncurry sing_meth) ann_meths- return (DInstanceD Nothing- cxt'- (foldl DAppT (DConT s_inst_name) inst_kis)- meths)+singInstD (InstDecl { id_cxt = cxt, id_name = inst_name, id_arg_tys = inst_tys+ , id_sigs = inst_sigs, id_meths = ann_meths }) = do+ bindContext cxt $ do+ cxt' <- mapM singPred cxt+ inst_kis <- mapM promoteType inst_tys+ meths <- concatMapM (uncurry sing_meth) ann_meths+ return (DInstanceD Nothing+ cxt'+ (foldl DAppT (DConT s_inst_name) inst_kis)+ meths) where s_inst_name = singClassName inst_name@@ -358,78 +392,139 @@ sing_meth :: Name -> ALetDecRHS -> SgM [DDec] sing_meth name rhs = do mb_s_info <- dsReify (singValName name)- (s_ty, tyvar_names, m_res_ki) <- case mb_s_info of- Just (DVarI _ (DForallT cls_tvbs _cls_pred s_ty) _) -> do- let (sing_tvbs, _pred, _args, res_ty) = unravel s_ty- inst_kis <- mapM promoteType inst_tys- let subst = Map.fromList (zip (map extractTvbName cls_tvbs)- inst_kis)- m_res_ki = case res_ty of- _sing `DAppT` (_prom_func `DSigT` res_ki) -> Just (substKind subst res_ki)- _ -> Nothing+ inst_kis <- mapM promoteType inst_tys+ let mk_subst cls_tvbs = Map.fromList $ zip (map extractTvbName vis_cls_tvbs) inst_kis+ where+ -- This is a half-hearted attempt to address the underlying problem+ -- in #358, where we can sometimes have more class type variables+ -- (due to implicit kind arguments) than class arguments. This just+ -- ensures that the explicit type variables are properly mapped+ -- to the class arguments, leaving the implicit kind variables+ -- unmapped. That could potentially cause *other* problems, but+ -- those are perhaps best avoided by using InstanceSigs. At the+ -- very least, this workaround will make error messages slightly+ -- less confusing.+ vis_cls_tvbs = drop (length cls_tvbs - length inst_kis) cls_tvbs - return (substType subst s_ty, map extractTvbName sing_tvbs, m_res_ki)- _ -> do- mb_info <- dsReify name- case mb_info of- Just (DVarI _ (DForallT cls_tvbs _cls_pred inner_ty) _) -> do- let subst = Map.fromList (zip (map extractTvbName cls_tvbs)- inst_tys)- -- Make sure to expand through type synonyms here! Not doing so- -- resulted in #167.- raw_ty <- expand inner_ty- (s_ty, _num_args, tyvar_names, res_ki) <- singType (promoteValRhs name)- (substType subst raw_ty)- return (s_ty, tyvar_names, Just res_ki)- _ -> fail $ "Cannot find type of method " ++ show name+ sing_meth_ty :: Set Name -> DType+ -> SgM (DType, [Name], DCxt, DKind)+ sing_meth_ty bound_kvs inner_ty = do+ -- Make sure to expand through type synonyms here! Not doing so+ -- resulted in #167.+ raw_ty <- expand inner_ty+ (s_ty, _num_args, tyvar_names, ctxt, _arg_kis, res_ki)+ <- singType bound_kvs (promoteValRhs name) raw_ty+ pure (s_ty, tyvar_names, ctxt, res_ki) + (s_ty, tyvar_names, ctxt, m_res_ki) <- case Map.lookup name inst_sigs of+ Just inst_sig -> do+ -- We have an InstanceSig, so just single that type. Take care to+ -- avoid binding the variables bound by the instance head as well.+ let inst_bound = foldMap (fvDType . predToType) cxt <> foldMap fvDType inst_kis+ (s_ty, tyvar_names, ctxt, res_ki) <- sing_meth_ty inst_bound inst_sig+ pure (s_ty, tyvar_names, ctxt, Just res_ki)+ Nothing -> case mb_s_info of+ -- We don't have an InstanceSig, so we must compute the type to use+ -- in the singled instance ourselves through reification.+ Just (DVarI _ (DForallT cls_tvbs _cls_pred s_ty) _) -> do+ let subst = mk_subst cls_tvbs+ (sing_tvbs, ctxt, _args, res_ty) = unravel s_ty+ m_res_ki = case res_ty of+ _sing `DAppT` (_prom_func `DSigT` res_ki) -> Just (substKind subst res_ki)+ _ -> Nothing++ pure ( substType subst s_ty+ , map extractTvbName sing_tvbs+ , map (substPred subst) ctxt+ , m_res_ki )+ _ -> do+ mb_info <- dsReify name+ case mb_info of+ Just (DVarI _ (DForallT cls_tvbs _cls_pred inner_ty) _) -> do+ let subst = mk_subst cls_tvbs+ cls_kvb_names = foldMap (foldMap fvDType . extractTvbKind) cls_tvbs+ cls_tvb_names = Set.fromList $ map extractTvbName cls_tvbs+ cls_bound = cls_kvb_names `Set.union` cls_tvb_names+ (s_ty, tyvar_names, ctxt, res_ki) <- sing_meth_ty cls_bound inner_ty+ pure ( substType subst s_ty+ , tyvar_names+ , ctxt+ , Just (substKind subst res_ki) )+ _ -> fail $ "Cannot find type of method " ++ show name+ let kind_map = maybe Map.empty (Map.singleton name) m_res_ki meth' <- singLetDecRHS (Map.singleton name tyvar_names)+ (Map.singleton name ctxt) kind_map name rhs return $ map DLetDec [DSigD (singValName name) s_ty, meth'] -singLetDecEnv :: ALetDecEnv -> SgM a -> SgM ([DLetDec], a)-singLetDecEnv (LetDecEnv { lde_defns = defns- , lde_types = types- , lde_infix = infix_decls- , lde_proms = proms })+singLetDecEnv :: ALetDecEnv+ -> SgM a+ -> SgM ([DLetDec], [DDec], a)+ -- Return:+ --+ -- 1. The singled let-decs+ -- 2. SingI instances for any defunctionalization symbols+ -- (see Data.Singletons.Single.Defun)+ -- 3. The result of running the `SgM a` action+singLetDecEnv (LetDecEnv { lde_defns = defns+ , lde_types = types+ , lde_infix = infix_decls+ , lde_proms = proms+ , lde_bound_kvs = bound_kvs }) thing_inside = do let prom_list = Map.toList proms- (typeSigs, letBinds, tyvarNames, res_kis)- <- unzip4 <$> mapM (uncurry (singTySig defns types)) prom_list- infix_decls' <- traverse (uncurry singInfixDecl) infix_decls+ (typeSigs, letBinds, tyvarNames, cxts, res_kis, singIDefunss)+ <- unzip6 <$> mapM (uncurry (singTySig defns types bound_kvs)) prom_list+ infix_decls' <- traverse (uncurry singInfixDecl) $ Map.toList infix_decls let res_ki_map = Map.fromList [ (name, res_ki) | ((name, _), Just res_ki) <- zip prom_list res_kis ] bindLets letBinds $ do- let_decs <- mapM (uncurry (singLetDecRHS (Map.fromList tyvarNames) res_ki_map))+ let_decs <- mapM (uncurry (singLetDecRHS (Map.fromList tyvarNames)+ (Map.fromList cxts)+ res_ki_map)) (Map.toList defns) thing <- thing_inside- return (infix_decls' ++ typeSigs ++ let_decs, thing)+ return (infix_decls' ++ typeSigs ++ let_decs, concat singIDefunss, thing) singTySig :: Map Name ALetDecRHS -- definitions -> Map Name DType -- type signatures+ -> Map Name (Set Name) -- bound kind variables -> Name -> DType -- the type is the promoted type, not the type sig! -> SgM ( DLetDec -- the new type signature , (Name, DExp) -- the let-bind entry , (Name, [Name]) -- the scoped tyvar names in the tysig+ , (Name, DCxt) -- the context of the type signature , Maybe DKind -- the result kind in the tysig+ , [DDec] -- SingI instances for defun symbols )-singTySig defns types name prom_ty =+singTySig defns types bound_kvs name prom_ty = let sName = singValName name in case Map.lookup name types of Nothing -> do num_args <- guess_num_args (sty, tyvar_names) <- mk_sing_ty num_args+ singIDefuns <- singDefuns name VarName []+ (map (const Nothing) tyvar_names) Nothing return ( DSigD sName sty , (name, wrapSingFun num_args prom_ty (DVarE sName)) , (name, tyvar_names)- , Nothing )+ , (name, [])+ , Nothing+ , singIDefuns ) Just ty -> do- (sty, num_args, tyvar_names, res_ki) <- singType prom_ty ty+ all_bound_kvs <- lookup_bound_kvs+ (sty, num_args, tyvar_names, ctxt, arg_kis, res_ki)+ <- singType all_bound_kvs prom_ty ty+ bound_cxt <- askContext+ singIDefuns <- singDefuns name VarName (bound_cxt ++ ctxt)+ (map Just arg_kis) (Just res_ki) return ( DSigD sName sty , (name, wrapSingFun num_args prom_ty (DVarE sName)) , (name, tyvar_names)- , Just res_ki )+ , (name, ctxt)+ , Just res_ki+ , singIDefuns ) where guess_num_args :: SgM Int guess_num_args =@@ -438,6 +533,13 @@ Just (AValue _ n _) -> return n Just (AFunction _ n _) -> return n + lookup_bound_kvs :: SgM (Set Name)+ lookup_bound_kvs =+ case Map.lookup name bound_kvs of+ Nothing -> fail $ "Internal error: " ++ nameBase name ++ " has no type variable "+ ++ "bindings, despite having a type signature"+ Just kvs -> pure kvs+ -- create a Sing t1 -> Sing t2 -> ... type of a given arity and result type mk_sing_ty :: Int -> SgM (DType, [Name]) mk_sing_ty n = do@@ -449,19 +551,24 @@ , arg_names ) singLetDecRHS :: Map Name [Name]+ -> Map Name DCxt -- the context of the type signature+ -- (might not be known) -> Map Name DKind -- result kind (might not be known) -> Name -> ALetDecRHS -> SgM DLetDec-singLetDecRHS _bound_names res_kis name (AValue prom num_arrows exp) =- DValD (DVarPa (singValName name)) <$>- (wrapUnSingFun num_arrows prom <$> singExp exp (Map.lookup name res_kis))-singLetDecRHS bound_names res_kis name (AFunction prom_fun num_arrows clauses) =- let tyvar_names = case Map.lookup name bound_names of- Nothing -> []- Just ns -> ns- res_ki = Map.lookup name res_kis- in- DFunD (singValName name) <$>- mapM (singClause prom_fun num_arrows tyvar_names res_ki) clauses+singLetDecRHS bound_names cxts res_kis name ld_rhs =+ bindContext (Map.findWithDefault [] name cxts) $+ case ld_rhs of+ AValue prom num_arrows exp ->+ DValD (DVarPa (singValName name)) <$>+ (wrapUnSingFun num_arrows prom <$> singExp exp (Map.lookup name res_kis))+ AFunction prom_fun num_arrows clauses ->+ let tyvar_names = case Map.lookup name bound_names of+ Nothing -> []+ Just ns -> ns+ res_ki = Map.lookup name res_kis+ in+ DFunD (singValName name) <$>+ mapM (singClause prom_fun num_arrows tyvar_names res_ki) clauses singClause :: DType -- the promoted function -> Int -- the number of arrows in the type. If this is more@@ -480,7 +587,7 @@ fail $ "Function being promoted to " ++ (pprint (typeToTH prom_fun)) ++ " has too many arguments." - sPats <- mapM (singPat (Map.fromList var_proms)) pats+ (sPats, sigPaExpsSigs) <- evalForPair $ mapM (singPat (Map.fromList var_proms)) pats sBody <- singExp exp res_ki -- when calling unSingFun, the promoted pats aren't in scope, so we use the -- bound_names instead@@ -488,32 +595,51 @@ -- this does eta-expansion. See comment at top of file. sBody' = wrapUnSingFun (num_arrows - length pats) (foldl apply prom_fun (map DVarT pattern_bound_names)) sBody- return $ DClause sPats sBody'+ return $ DClause sPats $ mkSigPaCaseE sigPaExpsSigs sBody' singPat :: Map Name Name -- from term-level names to type-level names- -> DPat- -> SgM DPat-singPat _var_proms (DLitPa _lit) =- fail "Singling of literal patterns not yet supported"-singPat var_proms (DVarPa name) = do- tyname <- case Map.lookup name var_proms of- Nothing ->- fail "Internal error: unknown variable when singling pattern"- Just tyname -> return tyname- return $ DVarPa (singValName name) `DSigPa` (singFamily `DAppT` DVarT tyname)-singPat var_proms (DConPa name pats) = do- pats' <- mapM (singPat var_proms) pats- return $ DConPa (singDataConName name) pats'-singPat var_proms (DTildePa pat) = do- qReportWarning- "Lazy pattern converted into regular pattern during singleton generation."- singPat var_proms pat-singPat var_proms (DBangPa pat) = do- pat' <- singPat var_proms pat- return $ DBangPa pat'-singPat _var_proms (DSigPa _pat _ty) = error "TODO: Handle SigPa. See Issue #183."-singPat _var_proms DWildPa = return DWildPa+ -> ADPat+ -> QWithAux SingDSigPaInfos SgM DPat+singPat var_proms = go+ where+ go :: ADPat -> QWithAux SingDSigPaInfos SgM DPat+ go (ADLitPa _lit) =+ fail "Singling of literal patterns not yet supported"+ go (ADVarPa name) = do+ tyname <- case Map.lookup name var_proms of+ Nothing ->+ fail "Internal error: unknown variable when singling pattern"+ Just tyname -> return tyname+ pure $ DVarPa (singValName name) `DSigPa` (singFamily `DAppT` DVarT tyname)+ go (ADConPa name pats) = DConPa (singDataConName name) <$> mapM go pats+ go (ADTildePa pat) = do+ qReportWarning+ "Lazy pattern converted into regular pattern during singleton generation."+ go pat+ go (ADBangPa pat) = DBangPa <$> go pat+ go (ADSigPa prom_pat pat ty) = do+ pat' <- go pat+ -- Normally, calling dPatToDExp would be dangerous, since it fails if the+ -- supplied pattern contains any wildcard patterns. However, promotePat+ -- (which produced the pattern we're passing into dPatToDExp) maintains+ -- an invariant that any promoted pattern signatures will be free of+ -- wildcard patterns in the underlying pattern.+ -- See Note [Singling pattern signatures].+ addElement (dPatToDExp pat', DSigT prom_pat ty)+ pure pat'+ go ADWildPa = pure DWildPa +-- | If given a non-empty list of 'SingDSigPaInfos', construct a case expression+-- that brings singleton equality constraints into scope via pattern-matching.+-- See @Note [Singling pattern signatures]@.+mkSigPaCaseE :: SingDSigPaInfos -> DExp -> DExp+mkSigPaCaseE exps_with_sigs exp+ | null exps_with_sigs = exp+ | otherwise =+ let (exps, sigs) = unzip exps_with_sigs+ scrutinee = mkTupleDExp exps+ pats = map (DSigPa DWildPa . DAppT (DConT singFamilyName)) sigs+ in DCaseE scrutinee [DMatch (mkTupleDPat pats) exp] -- Note [Annotate case return type] -- ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~@@ -539,6 +665,82 @@ -- calls. Specifically, DON'T do the applySing stuff. Just use sError, which -- has a custom type (Sing x -> a) anyway. +-- Note [Singling pattern signatures]+-- ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+-- We want to single a pattern signature, like so:+--+-- f :: Maybe a -> a+-- f (Just x :: Maybe a) = x+--+-- Naïvely, one might expect this to single straightfowardly as:+--+-- sF :: forall (z :: Maybe a). Sing z -> Sing (F z)+-- sF (SJust sX :: Sing (Just x :: Maybe a)) = sX+--+-- But the way GHC typechecks patterns prevents this from working, as GHC won't+-- know that the type `z` is actually `Just x` until /after/ the entirety of+-- the `SJust sX` pattern has been typechecked. (See Trac #12018 for an+-- extended discussion on this topic.)+--+-- To work around this design, we resort to a somewhat unsightly trick:+-- immediately after matching on all the patterns, we perform a case on every+-- pattern with a pattern signature, like so:+--+-- sF :: forall (z :: Maybe a). Sing z -> Sing (F z)+-- sF (SJust sX :: Sing z)+-- = case (SJust sX :: Sing z) of+-- (_ :: Sing (Just x :: Maybe a)) -> sX+--+-- Now GHC accepts the fact that `z` is `Just x`, and all is well. In order+-- to support this construction, the type of singPat is augmented with some+-- extra information in the form of SingDSigPaInfos:+--+-- type SingDSigPaInfos = [(DExp, DType)]+--+-- Where the DExps corresponds to the expressions we case on just after the+-- patterns (`SJust sX :: Sing x`, in the example above), and the DTypes+-- correspond to the singled pattern signatures to use in the case alternative+-- (`Sing (Just x :: Maybe a)` in the example above). singPat appends to the+-- list of SingDSigPaInfos whenever it processes a DSigPa (pattern signature),+-- and call sites can pass these SingDSigPaInfos to mkSigPaCaseE to construct a+-- case expression like the one featured above.+--+-- Some interesting consequences of this design:+--+-- 1. We must promote DPats to ADPats, a variation of DPat where the annotated+-- DSigPa counterpart, ADSigPa, stores the type that the original DPat was+-- promoted to. This is necessary since promoting the type might have+-- generated fresh variable names, so we need to be able to use the same+-- names when singling.+--+-- 2. Also when promoting a DSigPa to an ADSigPa, we remove any wildcards from+-- the underlying pattern. To see why this is necessary, consider singling+-- this example:+--+-- g (Just _ :: Maybe a) = "hi"+--+-- This must single to something like this:+--+-- sG (SJust _ :: Sing z)+-- = case (SJust _ :: Sing z) of+-- (_ :: Sing (Just _ :: Maybe a)) -> "hi"+--+-- But `SJust _` is not a valid expression, and since the minimal th-desugar+-- AST lacks as-patterns, we can't replace it with something like+-- `sG x@(SJust _ :: Sing z) = case x of ...`. But even if the th-desugar+-- AST /did/ have as-patterns, we'd still be in trouble, as `Just _` isn't+-- a valid type without the use of -XPartialTypeSignatures, which isn't a+-- design we want to force upon others.+--+-- We work around both issues by simply converting all wildcard patterns+-- from the pattern that has a signature. That means our example becomes:+--+-- sG (SJust sWild :: Sing z)+-- = case (SJust sWild :: Sing z) of+-- (_ :: Sing (Just wild :: Maybe a)) -> "hi"+--+-- And now everything is hunky-dory.+ singExp :: ADExp -> Maybe DKind -- the kind of the expression, if known -> SgM DExp -- See Note [Why error is so special]@@ -571,16 +773,21 @@ -- See Note [Annotate case return type] DSigE <$> (DCaseE <$> singExp exp Nothing <*> mapM (singMatch res_ki) matches) <*> pure (singFamily `DAppT` (ret_ty `maybeSigT` res_ki))-singExp (ADLetE env exp) res_ki =- uncurry DLetE <$> singLetDecEnv env (singExp exp res_ki)-singExp (ADSigE {}) _ =- fail "Singling of explicit type annotations not yet supported."+singExp (ADLetE env exp) res_ki = do+ -- We intentionally discard the SingI instances for exp's defunctionalization+ -- symbols, as we also do not generate the declarations for the+ -- defunctionalization symbols in the first place during promotion.+ (let_decs, _, exp') <- singLetDecEnv env $ singExp exp res_ki+ pure $ DLetE let_decs exp'+singExp (ADSigE prom_exp exp ty) _ = do+ exp' <- singExp exp (Just ty)+ pure $ DSigE exp' $ DConT singFamilyName `DAppT` DSigT prom_exp ty -- See Note [DerivedDecl] singDerivedEqDecs :: DerivedEqDecl -> SgM [DDec] singDerivedEqDecs (DerivedDecl { ded_mb_cxt = mb_ctxt , ded_type = ty- , ded_cons = cons }) = do+ , ded_decl = DataDecl _ _ cons }) = do (scons, _) <- singM [] $ mapM singCtor cons mb_sctxt <- mapM (mapM singPred) mb_ctxt kind <- promoteType ty@@ -609,35 +816,20 @@ singDerivedShowDecs :: DerivedShowDecl -> SgM [DDec] singDerivedShowDecs (DerivedDecl { ded_mb_cxt = mb_cxt , ded_type = ty- , ded_cons = cons }) = do- -- First, generate the ShowSing instance.- show_sing_inst <- mkShowInstance ForShowSing mb_cxt ty cons+ , ded_decl = DataDecl _ _ cons }) = do z <- qNewName "z"- -- Next, the Show instance for the singleton type, like this:+ -- Derive the Show instance for the singleton type, like this: --- -- instance (ShowSing a, ShowSing b) => Sing (Sing (z :: Either a b)) where- -- showsPrec = showsSingPrec+ -- deriving instance (ShowSing a, ShowSing b) => Sing (Sing (z :: Either a b)) -- -- Be careful: we want to generate an instance context that uses ShowSing,- -- not Show, because we are reusing the ShowSing instance.- show_cxt <- inferConstraintsDef (fmap (mkShowContext ForShowSing) mb_cxt)+ -- not SShow.+ show_cxt <- inferConstraintsDef (fmap mkShowSingContext mb_cxt) (DConPr showSingName) ty cons- let show_inst = DInstanceD Nothing show_cxt- (DConT showName `DAppT` (singFamily `DAppT` DSigT (DVarT z) ty))- [DLetDec (DFunD showsPrecName- [DClause [] (DVarE showsSingPrecName)])]- pure [toInstanceD show_sing_inst, show_inst]- where- toInstanceD :: UInstDecl -> DDec- toInstanceD (InstDecl { id_cxt = cxt, id_name = inst_name- , id_arg_tys = inst_tys, id_meths = ann_meths }) =- DInstanceD Nothing cxt (foldType (DConT inst_name) inst_tys)- (map (DLetDec . toFunD) ann_meths)-- toFunD :: (Name, ULetDecRHS) -> DLetDec- toFunD (fun_name, UFunction clauses) = DFunD fun_name clauses- toFunD (val_name, UValue rhs) = DValD (DVarPa val_name) rhs+ let show_inst = DStandaloneDerivD Nothing show_cxt+ (DConT showName `DAppT` (singFamily `DAppT` DSigT (DVarT z) ty))+ pure [show_inst] isException :: DExp -> Bool isException (DVarE n) = nameBase n == "sUndefined"@@ -655,9 +847,9 @@ singMatch :: Maybe DKind -- ^ the result kind, if known -> ADMatch -> SgM DMatch singMatch res_ki (ADMatch var_proms pat exp) = do- sPat <- singPat (Map.fromList var_proms) pat+ (sPat, sigPaExpsSigs) <- evalForPair $ singPat (Map.fromList var_proms) pat sExp <- singExp exp res_ki- return $ DMatch sPat sExp+ return $ DMatch sPat $ mkSigPaCaseE sigPaExpsSigs sExp singLit :: Lit -> SgM DExp singLit (IntegerL n)
src/Data/Singletons/Single/Data.hs view
@@ -12,6 +12,7 @@ import Language.Haskell.TH.Desugar import Language.Haskell.TH.Syntax+import Data.Singletons.Single.Defun import Data.Singletons.Single.Monad import Data.Singletons.Single.Type import Data.Singletons.Single.Fixity@@ -20,12 +21,13 @@ import Data.Singletons.Names import Data.Singletons.Syntax import Control.Monad+import qualified Data.Set as Set+import Data.Set (Set) -- We wish to consider the promotion of "Rep" to be * -- not a promoted data constructor. singDataD :: DataDecl -> SgM [DDec]-singDataD (DataDecl _nd name tvbs ctors _derivings) = do- aName <- qNewName "z"+singDataD (DataDecl name tvbs ctors) = do let tvbNames = map extractTvbName tvbs k <- promoteType (foldType (DConT name) (map DVarT tvbNames)) ctors' <- mapM singCtor ctors@@ -58,13 +60,14 @@ , DLetDec $ DFunD toSingName (toSingClauses `orIfEmpty` [emptyToSingClause]) ] - -- e.g. type SNat = Sing :: Nat -> *- let kindedSynInst =+ -- e.g. type SNat = (Sing :: Nat -> Type)+ let kindedSingTy = DArrowT `DAppT` k `DAppT` DConT typeKindName+ kindedSynInst = DTySynD (singTyConName name) []- (singFamily `DSigT` (DArrowT `DAppT` k `DAppT` DStarT))+ (singFamily `DSigT` kindedSingTy) - return $ (DDataInstD Data [] singFamilyName [DSigT (DVarT aName) k] ctors' []) :+ return $ (DDataInstD Data [] singFamilyName [] (Just kindedSingTy) ctors' []) : kindedSynInst : singKindInst : ctorFixities@@ -129,8 +132,8 @@ -- polymorphic constructors are handled just -- like monomorphic ones -- the polymorphism in -- the kind is automatic-singCtor (DCon _tvbs cxt name fields _rty)- | not (null (filter (not . isEqPred) cxt))+singCtor (DCon _tvbs cxt name fields rty)+ | not (null cxt) = fail "Singling of constrained constructors not yet supported" | otherwise = do@@ -141,11 +144,13 @@ indexNames <- mapM (const $ qNewName "n") types let indices = map DVarT indexNames kinds <- mapM promoteType types- args <- zipWithM buildArgType types indices- let tvbs = zipWith DKindedTV indexNames kinds+ let bound_kvs = foldMap fvDType kinds+ args <- zipWithM (buildArgType bound_kvs) types indices+ rty' <- promoteType rty+ let tvbs = map DPlainTV (Set.toList bound_kvs) ++ zipWith DKindedTV indexNames kinds kindedIndices = zipWith DSigT indices kinds - -- SingI instance+ -- SingI instance for data constructor emitDecs [DInstanceD Nothing (map (DAppPr (DConPr singIName)) indices)@@ -153,6 +158,10 @@ (foldType pCon kindedIndices)) [DLetDec $ DValD (DVarPa singMethName) (foldExp sCon (map (const $ DVarE singMethName) types))]]+ -- SingI instances for defunctionalization symbols. Note that we don't+ -- support contexts in constructors at the moment, so it's fine for now to+ -- just assume that the context is always ().+ emitDecs =<< singDefuns name DataName [] (map Just kinds) (Just rty') let noBang = Bang NoSourceUnpackedness NoSourceStrictness conFields = case fields of@@ -165,15 +174,8 @@ [] sName conFields- (Just (DConT singFamilyName `DAppT` foldType pCon indices))- where buildArgType :: DType -> DType -> SgM DType- buildArgType ty index = do- (ty', _, _, _) <- singType index ty+ (DConT singFamilyName `DAppT` foldType pCon indices)+ where buildArgType :: Set Name -> DType -> DType -> SgM DType+ buildArgType bound_kvs ty index = do+ (ty', _, _, _, _, _) <- singType bound_kvs index ty return ty'-- isEqPred :: DPred -> Bool- isEqPred (DAppPr f _) = isEqPred f- isEqPred (DSigPr p _) = isEqPred p- isEqPred (DVarPr _) = False- isEqPred (DConPr n) = n == equalityName- isEqPred DWildCardPr = False
+ src/Data/Singletons/Single/Defun.hs view
@@ -0,0 +1,213 @@+-----------------------------------------------------------------------------+-- |+-- Module : Data.Singletons.Single.Defun+-- Copyright : (C) 2018 Ryan Scott+-- License : BSD-style (see LICENSE)+-- Maintainer : Ryan Scott+-- Stability : experimental+-- Portability : non-portable+--+-- Creates 'SingI' instances for promoted types' defunctionalization symbols.+--+-----------------------------------------------------------------------------++module Data.Singletons.Single.Defun (singDefuns) where++import Data.List+import Data.Singletons.Names+import Data.Singletons.Promote.Defun+import Data.Singletons.Single.Monad+import Data.Singletons.Single.Type+import Data.Singletons.Util+import Language.Haskell.TH.Desugar+import Language.Haskell.TH.Syntax++-- Given the Name of something, take the defunctionalization symbols for its+-- promoted counterpart and create SingI instances for them. As a concrete+-- example, if you have:+--+-- foo :: Eq a => a -> a -> Bool+--+-- Then foo's promoted counterpart, Foo, will have two defunctionalization+-- symbols:+--+-- FooSym0 :: a ~> a ~> Bool+-- FooSym1 :: a -> a ~> Bool+--+-- We can declare SingI instances for these two symbols like so:+--+-- instance SEq a => SingI (FooSym0 :: a ~> a ~> Bool) where+-- sing = singFun2 sFoo+--+-- instance (SEq a, SingI x) => SingI (FooSym1 x :: a ~> Bool) where+-- sing = singFun1 (sFoo (sing @_ @x))+--+-- Note that singDefuns takes Maybe DKinds for the promoted argument and result+-- types, in case we have an entity whose type needs to be inferred.+-- See Note [singDefuns and type inference].+--+-- Note that in the particular case of a data constructor, we actually generate+-- /two/ SingI instances partial application—one for the defunctionalization+-- symbol, and one for the data constructor placed inside TyCon{N}.+-- See Note [SingI instances for partially applied constructors].+singDefuns :: Name -- The Name of the thing to promote.+ -> NameSpace -- Whether the above Name is a value, data constructor,+ -- or a type constructor.+ -- See Note [SingI instances for partially applied constructors]+ -> DCxt -- The type's context.+ -> [Maybe DKind] -- The promoted argument types (if known).+ -> Maybe DKind -- The promoted result type (if known).+ -> SgM [DDec]+singDefuns n ns ty_ctxt mb_ty_args mb_ty_res =+ case mb_ty_args of+ [] -> pure [] -- If a function has no arguments, then it has no+ -- defunctionalization symbols, so there's nothing to be done.+ _ -> do sty_ctxt <- mapM singPred ty_ctxt+ go 0 sty_ctxt [] mb_ty_args+ where+ num_ty_args :: Int+ num_ty_args = length mb_ty_args++ -- Sadly, this algorithm is quadratic, because in each iteration of the loop+ -- we must:+ --+ -- * Construct an arrow type of the form (a ~> ... ~> z), using a suffix of+ -- the promoted argument types.+ -- * Append a new type variable to the end of an ordered list.+ --+ -- In practice, this is unlikely to be a bottleneck, as singletons does not+ -- support functions with more than 7 or so arguments anyways.+ go :: Int -> DCxt -> [DTyVarBndr] -> [Maybe DKind] -> SgM [DDec]+ go sym_num sty_ctxt tvbs mb_tyss+ | sym_num < num_ty_args+ , mb_ty:mb_tys <- mb_tyss+ = do new_tvb_name <- qNewName "d"+ let new_tvb = inferMaybeKindTV new_tvb_name mb_ty+ insts <- go (sym_num + 1) sty_ctxt (tvbs ++ [new_tvb]) mb_tys+ pure $ new_insts ++ insts+ | otherwise+ = pure []+ where+ sing_fun_num :: Int+ sing_fun_num = num_ty_args - sym_num++ mk_sing_fun_expr :: DExp -> DExp+ mk_sing_fun_expr sing_expr =+ foldl' (\f tvb_n -> f `DAppE` (DVarE singMethName `DAppTypeE` DVarT tvb_n))+ sing_expr+ (map extractTvbName tvbs)++ singI_ctxt :: DCxt+ singI_ctxt = map (DAppPr (DConPr singIName) . tvbToType) tvbs++ mk_inst_ty :: DType -> DType+ mk_inst_ty inst_head+ = case mb_inst_kind of+ Just inst_kind -> inst_head `DSigT` inst_kind+ Nothing -> inst_head++ tvb_tys :: [DType]+ tvb_tys = map dTyVarBndrToDType tvbs++ -- Construct the arrow kind used to annotate the defunctionalization+ -- symbol (e.g., the `a ~> a ~> Bool` in+ -- `SingI (FooSym0 :: a ~> a ~> Bool)`).+ -- If any of the argument kinds or result kind isn't known (i.e., is+ -- Nothing), then we opt not to construct this arrow kind altogether.+ -- See Note [singDefuns and type inference]+ mb_inst_kind :: Maybe DType+ mb_inst_kind = foldr buildTyFunArrow_maybe mb_ty_res mb_tyss++ new_insts :: [DDec]+ new_insts+ | DataName <- ns+ = -- See Note [SingI instances for partially applied constructors]+ let s_data_con = DConE $ singDataConName n in+ [ mk_inst defun_inst_ty s_data_con+ , mk_inst tycon_inst_ty s_data_con ]+ | otherwise+ = [mk_inst defun_inst_ty $ DVarE $ singValName n]+ where+ mk_inst :: DType -> DExp -> DDec+ mk_inst inst_head sing_exp+ = DInstanceD Nothing+ (sty_ctxt ++ singI_ctxt)+ (DConT singIName `DAppT` mk_inst_ty inst_head)+ [DLetDec $ DValD (DVarPa singMethName)+ $ wrapSingFun sing_fun_num inst_head+ $ mk_sing_fun_expr sing_exp ]++ defun_inst_ty, tycon_inst_ty :: DType+ defun_inst_ty = foldType (DConT (promoteTySym n sym_num)) tvb_tys+ tycon_inst_ty = DConT (mkTyConName sing_fun_num) `DAppT`+ foldType (DConT n) tvb_tys++{-+Note [singDefuns and type inference]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+Consider the following function:++ foo :: a -> Bool+ foo _ = True++singDefuns would give the following SingI instance for FooSym0, with an+explicit kind signature:++ instance SingI (FooSym0 :: a ~> Bool) where ...++What happens if we leave off the type signature for foo?++ foo _ = True++Can singDefuns still do its job? Yes! It will simply generate:++ instance SingI FooSym0 where ...++In general, if any of the promoted argument or result types given to singDefun+are Nothing, then we avoid crafting an explicit kind signature. You might worry+that this could lead to SingI instances being generated that GHC cannot infer+the type for, such as:++ bar x = x == x+ ==>+ instance SingI BarSym0 -- Missing an SEq constraint?++This is true, but also not unprecedented, as the singled version of bar, sBar,+will /also/ fail to typecheck due to a missing SEq constraint. Therefore, this+design choice fits within the existing tradition of type inference in+singletons.++Note [SingI instances for partially applied constructors]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+Unlike normal functions, where we generate one SingI instance for each of its+partial applications (one per defunctionalization symbol), we generate *two*+SingI instances for each partial application of a data constructor. That is,+if we have:++ data D a where+ K :: a -> D a++K has an partial application, so we will generate the following two SingI+instances:++ instance SingI KSym0 where sing = singFun1 SK+ instance SingI (TyCon1 KSym0) where sing = singFun1 SK++The first instance is exactly the same as what we'd generate for a normal,+partially applied function's defun symbol. The second one, while functionally+equivalent, is a bit dissatisfying: in general, adopting this approach means+that we end up generating many instances of the form:++ instance SingI (TyCon1 S1)+ instance SingI (TyCon1 S2)+ ...++Ideally, we'd have a single instance SingI (TyCon1 s) to rule them all. But+doing so would require writing something akin to:++ instance (forall a. SingI a => SingI (f a)) => SingI (TyCon1 f) where+ sing = SLambda $ \(x :: Sing a) -> withSingI x $ sing @_ @(f a)++But this would require quantified constraints. Until GHC gains these, we+compensate by generating out several SingI (TyCon1 s) instances.+-}
src/Data/Singletons/Single/Fixity.hs view
@@ -7,8 +7,8 @@ import Data.Singletons.Names import Language.Haskell.TH.Desugar -singInfixDecl :: DsMonad q => Fixity -> Name -> q DLetDec-singInfixDecl fixity name = do+singInfixDecl :: DsMonad q => Name -> Fixity -> q DLetDec+singInfixDecl name fixity = do mb_ns <- reifyNameSpace name pure $ DInfixD fixity $ case mb_ns of@@ -24,7 +24,7 @@ mFixity <- qReifyFixity name case mFixity of Nothing -> pure []- Just fixity -> sequenceA [DLetDec <$> singInfixDecl fixity name]+ Just fixity -> sequenceA [DLetDec <$> singInfixDecl name fixity] singFixityDeclarations :: DsMonad q => [Name] -> q [DDec] singFixityDeclarations = concatMapM trySingFixityDeclaration
src/Data/Singletons/Single/Monad.hs view
@@ -11,7 +11,7 @@ {-# LANGUAGE GeneralizedNewtypeDeriving, ParallelListComp, TemplateHaskell #-} module Data.Singletons.Single.Monad (- SgM, bindLets, lookupVarE, lookupConE,+ SgM, bindLets, bindContext, askContext, lookupVarE, lookupConE, wrapSingFun, wrapUnSingFun, singM, singDecsM, emitDecs, emitDecsM@@ -34,11 +34,13 @@ -- environment during singling data SgEnv = SgEnv { sg_let_binds :: Map Name DExp -- from the *original* name+ , sg_context :: DCxt -- See Note [Tracking the current type signature context] , sg_local_decls :: [Dec] } emptySgEnv :: SgEnv emptySgEnv = SgEnv { sg_let_binds = Map.empty+ , sg_context = [] , sg_local_decls = [] } @@ -72,7 +74,8 @@ qReifyConStrictness = liftSgM `comp1` qReifyConStrictness qIsExtEnabled = liftSgM `comp1` qIsExtEnabled qExtsEnabled = liftSgM qExtsEnabled- qAddForeignFile = liftSgM `comp2` qAddForeignFile+ qAddForeignFilePath = liftSgM `comp2` qAddForeignFilePath+ qAddTempFile = liftSgM `comp1` qAddTempFile qAddCorePlugin = liftSgM `comp1` qAddCorePlugin qRecover (SgM handler) (SgM body) = do@@ -91,6 +94,18 @@ local (\env@(SgEnv { sg_let_binds = lets2 }) -> env { sg_let_binds = (Map.fromList lets1) `Map.union` lets2 }) +-- Add some constraints to the current type signature context.+-- See Note [Tracking the current type signature context]+bindContext :: DCxt -> SgM a -> SgM a+bindContext ctxt1+ = local (\env@(SgEnv { sg_context = ctxt2 }) ->+ env { sg_context = ctxt1 ++ ctxt2 })++-- Retrieve the current type signature context.+-- See Note [Tracking the current type signature context]+askContext :: SgM DCxt+askContext = asks sg_context+ lookupVarE :: Name -> SgM DExp lookupVarE = lookup_var_con singValName (DVarE . singValName) @@ -154,3 +169,49 @@ singDecsM locals thing = do (decs1, decs2) <- singM locals thing return $ decs1 ++ decs2++{-+Note [Tracking the current type signature context]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+Much like we track the let-bound names in scope, we also track the current+context. For instance, in the following program:++ -- (1)+ f :: forall a. Show a => a -> String -> Bool+ f x y = g (show x) y+ where+ -- (2)+ g :: forall b. Eq b => b -> b -> Bool+ g = h+ where+ -- (3)+ h :: b -> b -> Bool+ h = (==)++Here is the context at various points:++(1) ()+(2) (Show a)+(3) (Show a, Eq b)++We track this informating during singling instead of during promotion, as the+promoted versions of things are often type families, which do not have+contexts.++Why do we bother tracking this at all? Ultimately, because singDefuns (from+Data.Singletons.Single.Defun) needs to know the current context in order to+generate a correctly typed SingI instance. For instance, if you called+singDefuns on the class method bar:++ class Foo a where+ bar :: Eq a => a -> Bool++Then if you only grabbed the context of `bar` itself, then you'd end up+generating the following SingI instance for BarSym0:++ instance SEq a => SingI (FooSym0 :: a ~> Bool) where ...++Which is incorrect—there needs to be an (SFoo a) constraint as well! If we+track the current context when singling Foo, then we will correctly propagate+this information to singDefuns.+-}
src/Data/Singletons/Single/Type.hs view
@@ -15,14 +15,21 @@ import Data.Singletons.Promote.Type import Data.Singletons.Util import Control.Monad+import qualified Data.Set as Set+import Data.Set (Set) -singType :: DType -- the promoted version of the thing classified by...+singType :: Set Name -- the set of bound kind variables in this scope+ -- see Note [Explicitly binding kind variables]+ -- in Data.Singletons.Promote.Monad+ -> DType -- the promoted version of the thing classified by... -> DType -- ... this type -> SgM ( DType -- the singletonized type , Int -- the number of arguments , [Name] -- the names of the tyvars used in the sing'd type+ , DCxt -- the context of the singletonized type+ , [DKind] -- the kinds of the argument types , DKind ) -- the kind of the result type-singType prom ty = do+singType bound_kvs prom ty = do let (_, cxt, args, res) = unravel ty num_args = length args cxt' <- mapM singPred cxt@@ -32,14 +39,21 @@ let args' = map (\n -> singFamily `DAppT` (DVarT n)) arg_names res' = singFamily `DAppT` (foldl apply prom (map DVarT arg_names) `DSigT` prom_res) tau = ravel args' res'- let ty' = DForallT (zipWith DKindedTV arg_names prom_args)+ -- Make sure to subtract out the bound variables currently in scope, lest we+ -- accidentally shadow them in this type signature.+ kv_names_to_bind = foldMap fvDType (prom_args ++ map predToType cxt' ++ [prom_res])+ Set.\\ bound_kvs+ kvs_to_bind = Set.toList kv_names_to_bind+ let ty' = DForallT (map DPlainTV kvs_to_bind ++ zipWith DKindedTV arg_names prom_args) cxt' tau- return (ty', num_args, arg_names, prom_res)+ return (ty', num_args, arg_names, cxt, prom_args, prom_res) singPred :: DPred -> SgM DPred singPred = singPredRec [] singPredRec :: [DType] -> DPred -> SgM DPred+singPredRec _cxt (DForallPr {}) =+ fail "Singling of quantified constraints not yet supported" singPredRec ctx (DAppPr pr ty) = singPredRec (ty : ctx) pr singPredRec _ctx (DSigPr _pr _ki) = fail "Singling of constraints with explicit kinds not yet supported"@@ -51,5 +65,5 @@ | otherwise = do kis <- mapM promoteType ctx let sName = singClassName n- return $ foldl DAppPr (DConPr sName) kis+ return $ foldPred (DConPr sName) kis singPredRec _ctx DWildCardPr = return DWildCardPr -- it just might work
src/Data/Singletons/Syntax.hs view
@@ -13,27 +13,67 @@ module Data.Singletons.Syntax where import Prelude hiding ( exp )-import Data.Kind+import Data.Kind (Constraint, Type) import Language.Haskell.TH.Syntax hiding (Type) import Language.Haskell.TH.Desugar import Data.Map.Strict ( Map ) import qualified Data.Map.Strict as Map+import Data.Set ( Set ) import Data.Semigroup (Semigroup(..)) -type VarPromotions = [(Name, Name)] -- from term-level name to type-level name+type VarPromotions = [(Name, Name)] -- from term-level name to type-level name - -- the relevant part of declarations-data DataDecl = DataDecl NewOrData Name [DTyVarBndr] [DCon] [DPred]+-- Information that is accumulated when promoting patterns.+data PromDPatInfos = PromDPatInfos+ { prom_dpat_vars :: VarPromotions+ -- Maps term-level pattern variables to their promoted, type-level counterparts.+ , prom_dpat_sig_kvs :: Set Name+ -- Kind variables bound by DSigPas.+ -- See Note [Explicitly binding kind variables] in Data.Singletons.Promote.Monad+ } +instance Semigroup PromDPatInfos where+ PromDPatInfos vars1 sig_kvs1 <> PromDPatInfos vars2 sig_kvs2+ = PromDPatInfos (vars1 <> vars2) (sig_kvs1 <> sig_kvs2)++instance Monoid PromDPatInfos where+ mempty = PromDPatInfos mempty mempty++-- A list of 'SingDSigPaInfos' is produced when singling pattern signatures, as we+-- must case on the 'DExp's and match on them using the supplied 'DType's to+-- bring the necessary singleton equality constraints into scope.+-- See @Note [Singling pattern signatures]@.+type SingDSigPaInfos = [(DExp, DType)]++-- The parts of data declarations that are relevant to singletons.+data DataDecl = DataDecl Name [DTyVarBndr] [DCon]++-- The parts of type synonyms that are relevant to singletons.+data TySynDecl = TySynDecl Name [DTyVarBndr]++-- The parts of open type families that are relevant to singletons.+type OpenTypeFamilyDecl = TypeFamilyDecl 'Open++-- The parts of closed type families that are relevant to singletons.+type ClosedTypeFamilyDecl = TypeFamilyDecl 'Closed++-- The parts of type families that are relevant to singletons.+newtype TypeFamilyDecl (info :: FamilyInfo)+ = TypeFamilyDecl { getTypeFamilyDecl :: DTypeFamilyHead }+-- Whether a type family is open or closed.+data FamilyInfo = Open | Closed+ data ClassDecl ann = ClassDecl { cd_cxt :: DCxt , cd_name :: Name , cd_tvbs :: [DTyVarBndr] , cd_fds :: [FunDep]- , cd_lde :: LetDecEnv ann }+ , cd_lde :: LetDecEnv ann+ } data InstDecl ann = InstDecl { id_cxt :: DCxt , id_name :: Name , id_arg_tys :: [DType]+ , id_sigs :: Map Name DType , id_meths :: [(Name, LetDecRHS ann)] } type UClassDecl = ClassDecl Unannotated@@ -50,7 +90,8 @@ so that Single can use the right promotions. -} --- A DExp with let and lambda nodes annotated with their type-level equivalents+-- A DExp with let, lambda, and type-signature nodes annotated with their+-- type-level equivalents data ADExp = ADVarE Name | ADConE Name | ADLitE Lit@@ -61,11 +102,23 @@ | ADCaseE ADExp [ADMatch] DType -- the type is the return type | ADLetE ALetDecEnv ADExp- | ADSigE ADExp DType+ | ADSigE DType -- the promoted expression+ ADExp DType -data ADMatch = ADMatch VarPromotions DPat ADExp+-- A DPat with a pattern-signature node annotated with its type-level equivalent+data ADPat = ADLitPa Lit+ | ADVarPa Name+ | ADConPa Name [ADPat]+ | ADTildePa ADPat+ | ADBangPa ADPat+ | ADSigPa DType -- The promoted pattern. Will not contain any wildcards,+ -- as per Note [Singling pattern signatures]+ ADPat DType+ | ADWildPa++data ADMatch = ADMatch VarPromotions ADPat ADExp data ADClause = ADClause VarPromotions- [DPat] ADExp+ [ADPat] ADExp data AnnotationFlag = Annotated | Unannotated @@ -77,7 +130,7 @@ IfAnn Annotated yes no = yes IfAnn Unannotated yes no = no -data family LetDecRHS (ann :: AnnotationFlag)+data family LetDecRHS :: AnnotationFlag -> Type data instance LetDecRHS Annotated = AFunction DType -- promote function (unapplied) Int -- number of arrows in type@@ -94,19 +147,22 @@ data LetDecEnv ann = LetDecEnv { lde_defns :: Map Name (LetDecRHS ann) , lde_types :: Map Name DType -- type signatures- , lde_infix :: [(Fixity, Name)] -- infix declarations+ , lde_infix :: Map Name Fixity -- infix declarations , lde_proms :: IfAnn ann (Map Name DType) () -- possibly, promotions+ , lde_bound_kvs :: IfAnn ann (Map Name (Set Name)) ()+ -- The set of bound variables in scope.+ -- See Note [Explicitly binding kind variables]+ -- in Data.Singletons.Promote.Monad } type ALetDecEnv = LetDecEnv Annotated type ULetDecEnv = LetDecEnv Unannotated instance Semigroup ULetDecEnv where- LetDecEnv defns1 types1 infx1 _ <> LetDecEnv defns2 types2 infx2 _ =- LetDecEnv (defns1 <> defns2) (types1 <> types2) (infx1 <> infx2) ()+ LetDecEnv defns1 types1 infx1 _ _ <> LetDecEnv defns2 types2 infx2 _ _ =+ LetDecEnv (defns1 <> defns2) (types1 <> types2) (infx1 <> infx2) () () instance Monoid ULetDecEnv where- mempty = LetDecEnv Map.empty Map.empty [] ()- mappend = (<>)+ mempty = LetDecEnv Map.empty Map.empty Map.empty () () valueBinding :: Name -> ULetDecRHS -> ULetDecEnv valueBinding n v = emptyLetDecEnv { lde_defns = Map.singleton n v }@@ -115,7 +171,7 @@ typeBinding n t = emptyLetDecEnv { lde_types = Map.singleton n t } infixDecl :: Fixity -> Name -> ULetDecEnv-infixDecl f n = emptyLetDecEnv { lde_infix = [(f,n)] }+infixDecl f n = emptyLetDecEnv { lde_infix = Map.singleton n f } emptyLetDecEnv :: ULetDecEnv emptyLetDecEnv = mempty@@ -141,7 +197,7 @@ data DerivedDecl (cls :: Type -> Constraint) = DerivedDecl { ded_mb_cxt :: Maybe DCxt , ded_type :: DType- , ded_cons :: [DCon]+ , ded_decl :: DataDecl } type DerivedEqDecl = DerivedDecl Eq@@ -163,7 +219,7 @@ a deriving clause (ded_mb_cxt) 2. The datatype, applied to some number of type arguments, as in the instance declaration (ded_type)-3. The datatype's constructors (ded_cons)+3. The datatype's original information, as provided through DataDecl (ded_decl) Why are these instances handled outside of partitionDecs? @@ -173,9 +229,9 @@ in Data.Singletons.Promote and Data.Singletons.Single (depending on the task at hand). * Deriving Show in singletons not only derives PShow/SShow instances, but it- also derives ShowSing/Sing instances for singletons types. To make this work,+ also derives Show instances for singletons types. To make this work, we let partitionDecs handle the PShow/SShow instances, but we also stick the relevant info into a DerivedDecl value for later use in- Data.Singletons.Single, where we additionally generate ShowSing/Show+ Data.Singletons.Single, where we additionally generate Show instances. -}
src/Data/Singletons/TH.hs view
@@ -5,7 +5,7 @@ -- Module : Data.Singletons.TH -- Copyright : (C) 2013 Richard Eisenberg -- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)+-- Maintainer : Ryan Scott -- Stability : experimental -- Portability : non-portable --@@ -56,13 +56,16 @@ -- so they must be in scope. PEq(..), If, sIf, type (&&), (%&&), SEq(..),- POrd(..), SOrd(..), ThenCmp, sThenCmp, Foldl, sFoldl,+ POrd(..), SOrd(..), ThenCmp, sThenCmp, SDecide(..), (:~:)(..), Void, Refuted, Decision(..), PBounded(..), SBounded(..), PEnum(FromEnum, ToEnum), SEnum(sFromEnum, sToEnum), PShow(..), SShow(..), ShowString, sShowString, ShowParen, sShowParen, ShowSpace, sShowSpace, ShowChar, sShowChar, ShowCommaSpace, sShowCommaSpace,+ PFunctor(..), SFunctor(..),+ PFoldable(..), SFoldable(..), PMonoid(..), SMonoid(..),+ PTraversable(..), STraversable(..), PApplicative(..), SApplicative(..), (:.), (%.), SomeSing(..), @@ -89,6 +92,16 @@ ShowSpaceSym0, ShowSpaceSym1, ShowCharSym0, ShowCharSym1, ShowCharSym2, ShowCommaSpaceSym0, ShowCommaSpaceSym1,+ FmapSym0, FmapSym1, FmapSym2,+ type (<$@#@$), type (<$@#@$$), type (<$@#@$$$),+ FoldMapSym0, FoldMapSym1, FoldMapSym2,+ MemptySym0,+ MappendSym0, MappendSym1, MappendSym2,+ FoldrSym0, FoldrSym1, FoldrSym2, FoldrSym3,+ TraverseSym0, TraverseSym1, TraverseSym2,+ PureSym0, PureSym1,+ type (<*>@#@$), type (<*>@#@$$), type (<*>@#@$$$),+ LiftA2Sym0, LiftA2Sym1, LiftA2Sym2, LiftA2Sym3, type (.@#@$), type (.@#@$$), type (.@#@$$$), type (.@#@$$$$), (:@#@$), (:@#@$$), (:@#@$$$), @@ -99,13 +112,20 @@ import Data.Singletons import Data.Singletons.Single import Data.Singletons.Promote+import Data.Singletons.Prelude.Applicative import Data.Singletons.Prelude.Base+ hiding (Foldr, FoldrSym0, FoldrSym1, FoldrSym2, FoldrSym3, sFoldr) import Data.Singletons.Prelude.Instances+ hiding (Foldl, FoldlSym0, FoldlSym1, FoldlSym2, FoldlSym3, sFoldl) import Data.Singletons.Prelude.Bool import Data.Singletons.Prelude.Enum import Data.Singletons.Prelude.Eq+import Data.Singletons.Prelude.Foldable+import Data.Singletons.Prelude.Functor hiding (Void)+import Data.Singletons.Prelude.Monoid import Data.Singletons.Prelude.Ord import Data.Singletons.Prelude.Show+import Data.Singletons.Prelude.Traversable import Data.Singletons.Decide import Data.Singletons.TypeLits import Data.Singletons.SuppressUnusedWarnings@@ -128,7 +148,7 @@ cases tyName expq bodyq = do dinfo <- dsReify tyName case dinfo of- Just (DTyConI (DDataD _ _ _ _ ctors _) _) ->+ Just (DTyConI (DDataD _ _ _ _ _ ctors _) _) -> expToTH <$> buildCases (map extractNameArgs ctors) expq bodyq Just _ -> fail $ "Using <<cases>> with something other than a type constructor: "@@ -150,7 +170,7 @@ sCases tyName expq bodyq = do dinfo <- dsReify tyName case dinfo of- Just (DTyConI (DDataD _ _ _ _ ctors _) _) ->+ Just (DTyConI (DDataD _ _ _ _ _ ctors _) _) -> let ctor_stuff = map (first singDataConName . extractNameArgs) ctors in expToTH <$> buildCases ctor_stuff expq bodyq Just _ ->
+ src/Data/Singletons/TypeError.hs view
@@ -0,0 +1,188 @@+{-# LANGUAGE AllowAmbiguousTypes #-}+{-# LANGUAGE DataKinds #-}+{-# LANGUAGE ExistentialQuantification #-}+{-# LANGUAGE FlexibleInstances #-}+{-# LANGUAGE GADTs #-}+{-# LANGUAGE PolyKinds #-}+{-# LANGUAGE ScopedTypeVariables #-}+{-# LANGUAGE TemplateHaskell #-}+{-# LANGUAGE TypeApplications #-}+{-# LANGUAGE TypeFamilies #-}+{-# LANGUAGE TypeOperators #-}+{-# LANGUAGE UndecidableInstances #-}+-----------------------------------------------------------------------------+-- |+-- Module : Data.Singletons.TypeError+-- Copyright : (C) 2018 Ryan Scott+-- License : BSD-style (see LICENSE)+-- Maintainer : Ryan Scott+-- Stability : experimental+-- Portability : non-portable+--+-- Defines a drop-in replacement for 'TL.TypeError' (from "GHC.TypeLits")+-- that can be used at the value level as well. Since this is a drop-in+-- replacement, it is not recommended to import all of "GHC.TypeLits"+-- and "Data.Singletons.TypeError" at the same time, as many of the definitons+-- in the latter deliberately clash with the former.+--+----------------------------------------------------------------------------+module Data.Singletons.TypeError (+ TypeError, sTypeError, typeError,+ ErrorMessage'(..), ErrorMessage, PErrorMessage,+ Sing(SText, SShowType, (:%<>:), (:%$$:)), SErrorMessage,+ ConvertPErrorMessage, showErrorMessage,++ -- * Defunctionalization symbols+ TextSym0, TextSym1,+ ShowTypeSym0, ShowTypeSym1,+ type (:<>:@#@$), type (:<>:@#@$$), type (:<>:@#@$$$),+ type (:$$:@#@$), type (:$$:@#@$$), type (:$$:@#@$$$),+ TypeErrorSym0, TypeErrorSym1+ ) where++import Data.Kind+import Data.Singletons.TH+import qualified Data.Text as Text+import qualified GHC.TypeLits as TL (ErrorMessage(..), TypeError)+import GHC.Stack (HasCallStack)+import GHC.TypeLits hiding (ErrorMessage(..), TypeError)+import Prelude hiding ((<>))+import Text.PrettyPrint (Doc, text, (<>), ($$))++-- | A description of a custom type error.+--+-- This is a variation on 'TL.ErrorMessage' that is parameterized over what+-- text type is used in the 'Text' constructor. Instantiating it with+-- 'Text.Text' gives you 'ErrorMessage', and instantiating it with 'Symbol'+-- gives you 'PErrorMessage'.+data ErrorMessage' s+ = Text s+ -- ^ Show the text as is.+ | forall t. ShowType t+ -- ^ Pretty print the type.+ -- @ShowType :: k -> ErrorMessage@+ | ErrorMessage' s :<>: ErrorMessage' s+ -- ^ Put two pieces of error message next+ -- to each other.+ | ErrorMessage' s :$$: ErrorMessage' s+ -- ^ Stack two pieces of error message on top+ -- of each other.+infixl 6 :<>:+infixl 5 :$$:++-- | A value-level `ErrorMessage'` which uses 'Text.Text' as its text type.+type ErrorMessage = ErrorMessage' Text.Text++-- | A type-level `ErrorMessage'` which uses 'Symbol' as its text kind.+type PErrorMessage = ErrorMessage' Symbol++data instance Sing :: PErrorMessage -> Type where+ -- It would be lovely to not have to write those (:: PErrorMessage) kind+ -- ascriptions in the return types of each constructor.+ -- See Trac #14111.+ SText :: Sing t -> Sing ('Text t :: PErrorMessage)+ SShowType :: Sing ty -> Sing ('ShowType ty :: PErrorMessage)+ (:%<>:) :: Sing e1 -> Sing e2 -> Sing (e1 ':<>: e2 :: PErrorMessage)+ (:%$$:) :: Sing e1 -> Sing e2 -> Sing (e1 ':$$: e2 :: PErrorMessage)+infixl 6 :%<>:+infixl 5 :%$$:++type SErrorMessage = (Sing :: PErrorMessage -> Type)++instance SingKind PErrorMessage where+ type Demote PErrorMessage = ErrorMessage+ fromSing (SText t) = Text (fromSing t)+ fromSing (SShowType{}) = ShowType (error "Can't single ShowType")+ fromSing (e1 :%<>: e2) = fromSing e1 :<>: fromSing e2+ fromSing (e1 :%$$: e2) = fromSing e1 :$$: fromSing e2+ toSing (Text t) = withSomeSing t $ SomeSing . SText+ toSing (ShowType{}) = SomeSing $ SShowType (error "Can't single ShowType")+ toSing (e1 :<>: e2) = withSomeSing e1 $ \sE1 ->+ withSomeSing e2 $ \sE2 ->+ SomeSing (sE1 :%<>: sE2)+ toSing (e1 :$$: e2) = withSomeSing e1 $ \sE1 ->+ withSomeSing e2 $ \sE2 ->+ SomeSing (sE1 :%$$: sE2)++instance SingI t => SingI ('Text t :: PErrorMessage) where+ sing = SText sing++instance SingI ty => SingI ('ShowType ty :: PErrorMessage) where+ sing = SShowType sing++instance (SingI e1, SingI e2) => SingI (e1 ':<>: e2 :: PErrorMessage) where+ sing = sing :%<>: sing++instance (SingI e1, SingI e2) => SingI (e1 ':$$: e2 :: PErrorMessage) where+ sing = sing :%$$: sing++-- | Convert an 'ErrorMessage' into a human-readable 'String'.+showErrorMessage :: ErrorMessage -> String+showErrorMessage = show . go+ where+ go :: ErrorMessage -> Doc+ go (Text t) = text (Text.unpack t)+ go (ShowType _) = text "<type>" -- Not much we can do here+ go (e1 :<>: e2) = go e1 <> go e2+ go (e1 :$$: e2) = go e1 $$ go e2++-- | The value-level counterpart to 'TypeError'.+--+-- Note that this is not quite as expressive as 'TypeError', as it is unable+-- to print the contents of 'ShowType' constructors (it will simply print+-- @\"\<type\>\"@ in their place).+typeError :: HasCallStack => ErrorMessage -> a+typeError = error . showErrorMessage++-- | Convert a 'PErrorMessage' to a 'TL.ErrorMessage' from "GHC.TypeLits".+type family ConvertPErrorMessage (a :: PErrorMessage) :: TL.ErrorMessage where+ ConvertPErrorMessage ('Text t) = 'TL.Text t+ ConvertPErrorMessage ('ShowType ty) = 'TL.ShowType ty+ ConvertPErrorMessage (e1 ':<>: e2) = ConvertPErrorMessage e1 'TL.:<>: ConvertPErrorMessage e2+ ConvertPErrorMessage (e1 ':$$: e2) = ConvertPErrorMessage e1 'TL.:$$: ConvertPErrorMessage e2++-- | A drop-in replacement for 'TL.TypeError'. This also exists at the+-- value-level as 'typeError'.+type family TypeError (a :: PErrorMessage) :: b where+ -- We cannot define this as a type synonym due to Trac #12048.+ TypeError a = TL.TypeError (ConvertPErrorMessage a)++-- | The singleton for 'typeError'.+--+-- Note that this is not quite as expressive as 'TypeError', as it is unable+-- to handle 'ShowType' constructors at all.+sTypeError :: HasCallStack => Sing err -> Sing (TypeError err)+sTypeError = typeError . fromSing++$(genDefunSymbols [''ErrorMessage', ''TypeError])++instance SingI (TextSym0 :: Symbol ~> PErrorMessage) where+ sing = singFun1 SText+instance SingI (TyCon1 'Text :: Symbol ~> PErrorMessage) where+ sing = singFun1 SText++instance SingI (ShowTypeSym0 :: t ~> PErrorMessage) where+ sing = singFun1 SShowType+instance SingI (TyCon1 'ShowType :: t ~> PErrorMessage) where+ sing = singFun1 SShowType++instance SingI ((:<>:@#@$) :: PErrorMessage ~> PErrorMessage ~> PErrorMessage) where+ sing = singFun2 (:%<>:)+instance SingI (TyCon2 '(:<>:) :: PErrorMessage ~> PErrorMessage ~> PErrorMessage) where+ sing = singFun2 (:%<>:)+instance SingI x => SingI ((:<>:@#@$$) x :: PErrorMessage ~> PErrorMessage) where+ sing = singFun1 (sing @x :%<>:)+instance SingI x => SingI (TyCon1 ('(:<>:) x) :: PErrorMessage ~> PErrorMessage) where+ sing = singFun1 (sing @x :%<>:)++instance SingI ((:$$:@#@$) :: PErrorMessage ~> PErrorMessage ~> PErrorMessage) where+ sing = singFun2 (:%$$:)+instance SingI (TyCon2 '(:$$:) :: PErrorMessage ~> PErrorMessage ~> PErrorMessage) where+ sing = singFun2 (:%$$:)+instance SingI x => SingI ((:$$:@#@$$) x :: PErrorMessage ~> PErrorMessage) where+ sing = singFun1 (sing @x :%$$:)+instance SingI x => SingI (TyCon1 ('(:$$:) x) :: PErrorMessage ~> PErrorMessage) where+ sing = singFun1 (sing @x :%$$:)++instance SingI TypeErrorSym0 where+ sing = singFun1 sTypeError
src/Data/Singletons/TypeLits.hs view
@@ -1,12 +1,13 @@-{-# LANGUAGE TemplateHaskell, ScopedTypeVariables, TypeInType, ConstraintKinds,- GADTs, TypeFamilies, UndecidableInstances #-}+{-# LANGUAGE TemplateHaskell, ScopedTypeVariables, ConstraintKinds,+ GADTs, TypeApplications, TypeFamilies, UndecidableInstances,+ DataKinds, PolyKinds #-} ----------------------------------------------------------------------------- -- | -- Module : Data.Singletons.TypeLits -- Copyright : (C) 2014 Richard Eisenberg -- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)+-- Maintainer : Ryan Scott -- Stability : experimental -- Portability : non-portable --@@ -21,23 +22,26 @@ Sing(SNat, SSym), SNat, SSymbol, withKnownNat, withKnownSymbol, Error, sError,+ ErrorWithoutStackTrace, sErrorWithoutStackTrace, Undefined, sUndefined, KnownNat, natVal, KnownSymbol, symbolVal, type (^), (%^),- type (<>), (%<>),+ type (<=?), (%<=?), TN.Log2, sLog2, Div, sDiv, Mod, sMod, DivMod, sDivMod, Quot, sQuot, Rem, sRem, QuotRem, sQuotRem, -- * Defunctionalization symbols- ErrorSym0, ErrorSym1, UndefinedSym0,+ ErrorSym0, ErrorSym1,+ ErrorWithoutStackTraceSym0, ErrorWithoutStackTraceSym1,+ UndefinedSym0, KnownNatSym0, KnownNatSym1, KnownSymbolSym0, KnownSymbolSym1, type (^@#@$), type (^@#@$$), type (^@#@$$$),- type (<>@#@$), type (<>@#@$$), type (<>@#@$$$),+ type (<=?@#@$), type (<=?@#@$$), type (<=?@#@$$$), Log2Sym0, Log2Sym1, DivSym0, DivSym1, DivSym2, ModSym0, ModSym1, ModSym2,@@ -50,7 +54,7 @@ import Data.Singletons.Internal import Data.Singletons.Prelude.Tuple import Data.Singletons.Promote-import Data.Singletons.ShowSing () -- for ShowSing/Show instances+import Data.Singletons.ShowSing () -- for Show instances import Data.Singletons.TypeLits.Internal import Data.String (IsString(..))@@ -78,6 +82,15 @@ instance Ord Nat where compare = no_term_level_nats +instance Enum Nat where+ toEnum = no_term_level_nats+ fromEnum = no_term_level_nats+ enumFromTo = no_term_level_nats+ enumFromThenTo = no_term_level_nats++instance Show Nat where+ showsPrec = no_term_level_nats+ -- | This bogus instance is helpful for people who want to define -- functions over Symbols that will only be used at the type level or -- as singletons.@@ -90,6 +103,15 @@ instance IsString Symbol where fromString = no_term_level_syms +instance Semigroup Symbol where+ (<>) = no_term_level_syms++instance Monoid Symbol where+ mempty = no_term_level_syms++instance Show Symbol where+ showsPrec = no_term_level_syms+ no_term_level_nats :: a no_term_level_nats = error "The kind `Nat` may not be used at the term level." @@ -133,6 +155,8 @@ _ -> case TN.someNatVal (genLog2 x) of SomeNat (_ :: Proxy res) -> unsafeCoerce (SNat :: Sing res) $(genDefunSymbols [''TN.Log2])+instance SingI Log2Sym0 where+ sing = singFun1 sLog2 sDiv :: Sing x -> Sing y -> Sing (Div x y) sDiv sx sy =@@ -143,6 +167,10 @@ SomeNat (_ :: Proxy res) -> unsafeCoerce (SNat :: Sing res) infixl 7 `sDiv` $(genDefunSymbols [''Div])+instance SingI DivSym0 where+ sing = singFun2 sDiv+instance SingI x => SingI (DivSym1 x) where+ sing = singFun1 $ sDiv (sing @x) sMod :: Sing x -> Sing y -> Sing (Mod x y) sMod sx sy =@@ -153,6 +181,10 @@ SomeNat (_ :: Proxy res) -> unsafeCoerce (SNat :: Sing res) infixl 7 `sMod` $(genDefunSymbols [''Mod])+instance SingI ModSym0 where+ sing = singFun2 sMod+instance SingI x => SingI (ModSym1 x) where+ sing = singFun1 $ sMod $ sing @x $(promoteOnly [d| divMod :: Nat -> Nat -> (Nat, Nat)
src/Data/Singletons/TypeLits/Internal.hs view
@@ -3,7 +3,7 @@ -- Module : Data.Singletons.TypeLits.Internal -- Copyright : (C) 2014 Richard Eisenberg -- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)+-- Maintainer : Ryan Scott -- Stability : experimental -- Portability : non-portable --@@ -16,7 +16,8 @@ {-# LANGUAGE PolyKinds, DataKinds, TypeFamilies, FlexibleInstances, UndecidableInstances, ScopedTypeVariables, RankNTypes, GADTs, FlexibleContexts, TypeOperators, ConstraintKinds,- TypeInType, TemplateHaskell, StandaloneDeriving #-}+ TemplateHaskell, StandaloneDeriving,+ TypeApplications #-} {-# OPTIONS_GHC -Wno-orphans #-} module Data.Singletons.TypeLits.Internal (@@ -25,28 +26,29 @@ Nat, Symbol, SNat, SSymbol, withKnownNat, withKnownSymbol, Error, sError,+ ErrorWithoutStackTrace, sErrorWithoutStackTrace, Undefined, sUndefined, KnownNat, TN.natVal, KnownSymbol, symbolVal, type (^), (%^),- type (<>), (%<>),+ type (<=?), (%<=?), -- * Defunctionalization symbols- ErrorSym0, ErrorSym1, UndefinedSym0,+ ErrorSym0, ErrorSym1,+ ErrorWithoutStackTraceSym0, ErrorWithoutStackTraceSym1,+ UndefinedSym0, type (^@#@$), type (^@#@$$), type (^@#@$$$),- type (<>@#@$), type (<>@#@$$), type (<>@#@$$$)+ type (<=?@#@$), type (<=?@#@$$), type (<=?@#@$$$) ) where import Data.Singletons.Promote import Data.Singletons.Internal import Data.Singletons.Prelude.Eq-import Data.Singletons.Prelude.Ord+import Data.Singletons.Prelude.Ord as O import Data.Singletons.Decide import Data.Singletons.Prelude.Bool+import GHC.Stack (HasCallStack) import GHC.TypeLits as TL import qualified GHC.TypeNats as TN-import Data.Monoid ((<>))-import qualified Data.Type.Equality as DTE-import Data.Type.Equality ((:~:)(..)) import Data.Proxy ( Proxy(..) ) import Numeric.Natural (Natural) import Unsafe.Coerce@@ -83,36 +85,36 @@ -- SDecide instances: instance SDecide Nat where (SNat :: Sing n) %~ (SNat :: Sing m)- | TN.natVal (Proxy :: Proxy n) == TN.natVal (Proxy :: Proxy m)- = Proved $ unsafeCoerce Refl+ | Just r <- TN.sameNat (Proxy :: Proxy n) (Proxy :: Proxy m)+ = Proved r | otherwise = Disproved (\_ -> error errStr) where errStr = "Broken Nat singletons" instance SDecide Symbol where (SSym :: Sing n) %~ (SSym :: Sing m)- | symbolVal (Proxy :: Proxy n) == symbolVal (Proxy :: Proxy m)- = Proved $ unsafeCoerce Refl+ | Just r <- sameSymbol (Proxy :: Proxy n) (Proxy :: Proxy m)+ = Proved r | otherwise = Disproved (\_ -> error errStr) where errStr = "Broken Symbol singletons" -- PEq instances-instance PEq Nat where- type (a :: Nat) == (b :: Nat) = a DTE.== b-instance PEq Symbol where- type (a :: Symbol) == (b :: Symbol) = a DTE.== b+instance PEq Nat+instance PEq Symbol -- need SEq instances for TypeLits kinds instance SEq Nat where- a %== b- | fromSing a == fromSing b = unsafeCoerce STrue- | otherwise = unsafeCoerce SFalse+ (SNat :: Sing n) %== (SNat :: Sing m)+ = case sameNat (Proxy :: Proxy n) (Proxy :: Proxy m) of+ Just Refl -> STrue+ Nothing -> unsafeCoerce SFalse instance SEq Symbol where- a %== b- | fromSing a == fromSing b = unsafeCoerce STrue- | otherwise = unsafeCoerce SFalse+ (SSym :: Sing n) %== (SSym :: Sing m)+ = case sameSymbol (Proxy :: Proxy n) (Proxy :: Proxy m) of+ Just Refl -> STrue+ Nothing -> unsafeCoerce SFalse -- POrd instances instance POrd Nat where@@ -156,20 +158,33 @@ -- easier use. type family Error (str :: k0) :: k where {} $(genDefunSymbols [''Error])+instance SingI (ErrorSym0 :: Symbol ~> a) where+ sing = singFun1 sError -- | The singleton for 'error'-sError :: Sing (str :: Symbol) -> a+sError :: HasCallStack => Sing (str :: Symbol) -> a sError sstr = error (T.unpack (fromSing sstr)) +-- | The promotion of 'errorWithoutStackTrace'. This version is more+-- poly-kinded for easier use.+type family ErrorWithoutStackTrace (str :: k0) :: k where {}+$(genDefunSymbols [''ErrorWithoutStackTrace])+instance SingI (ErrorWithoutStackTraceSym0 :: Symbol ~> a) where+ sing = singFun1 sErrorWithoutStackTrace++-- | The singleton for 'errorWithoutStackTrace'.+sErrorWithoutStackTrace :: Sing (str :: Symbol) -> a+sErrorWithoutStackTrace sstr = errorWithoutStackTrace (T.unpack (fromSing sstr))+ -- | The promotion of 'undefined'. type family Undefined :: k where {} $(genDefunSymbols [''Undefined]) -- | The singleton for 'undefined'.-sUndefined :: a+sUndefined :: HasCallStack => a sUndefined = undefined --- | The singleton analogue of '(TL.^)' for 'Nat's.+-- | The singleton analogue of '(TN.^)' for 'Nat's. (%^) :: Sing a -> Sing b -> Sing (a ^ b) sa %^ sb = let a = fromSing sa@@ -182,20 +197,35 @@ -- Defunctionalization symbols for type-level (^) $(genDefunSymbols [''(^)])---- | The promoted analogue of '(<>)' for 'Symbol's. This uses the special--- 'TL.AppendSymbol' type family from "GHC.TypeLits".-type a <> b = TL.AppendSymbol a b-infixr 6 <>+instance SingI (^@#@$) where+ sing = singFun2 (%^)+instance SingI x => SingI ((^@#@$$) x) where+ sing = singFun1 (sing @x %^) --- | The singleton analogue of '(<>)' for 'Symbol's.-(%<>) :: Sing a -> Sing b -> Sing (a <> b)-sa %<> sb =- let a = fromSing sa- b = fromSing sb- ex = someSymbolVal $ T.unpack $ a <> b- in case ex of- SomeSymbol (_ :: Proxy ab) -> unsafeCoerce (SSym :: Sing ab)-infixr 6 %<>+-- | The singleton analogue of 'TN.<=?'+--+-- Note that, because of historical reasons in GHC's 'TN.Nat' API, 'TN.<=?'+-- is incompatible (unification-wise) with 'O.<=' and the 'PEq', 'SEq',+-- 'POrd', and 'SOrd' instances for 'Nat'. @(a '<=?' b) ~ 'True@ does not+-- imply anything about @a 'O.<=' b@ or any other 'PEq' / 'POrd'+-- relationships.+--+-- (Be aware that 'O.<=' in the paragraph above refers to 'O.<=' from the+-- 'POrd' typeclass, exported from "Data.Singletons.Prelude.Ord", and /not/+-- the 'TN.<=' from "GHC.TypeNats". The latter is simply a type alias for+-- @(a 'TN.<=?' b) ~ 'True@.)+--+-- This is provided here for the sake of completeness and for compatibility+-- with libraries with APIs built around '<=?'. New code should use+-- 'CmpNat', exposed through this library through the 'POrd' and 'SOrd'+-- instances for 'Nat'.+(%<=?) :: Sing a -> Sing b -> Sing (a <=? b)+sa %<=? sb = unsafeCoerce (sa %<= sb)+infix 4 %<=? -$(genDefunSymbols [''(<>)])+-- Defunctionalization symbols for (<=?)+$(genDefunSymbols [''(<=?)])+instance SingI (<=?@#@$) where+ sing = singFun2 (%<=?)+instance SingI x => SingI ((<=?@#@$$) x) where+ sing = singFun1 (sing @x %<=?)
− src/Data/Singletons/TypeRepStar.hs
@@ -1,97 +0,0 @@-{-# LANGUAGE RankNTypes, TypeFamilies, KindSignatures, FlexibleInstances,- GADTs, UndecidableInstances, ScopedTypeVariables, DataKinds,- MagicHash, TypeOperators #-}-{-# OPTIONS_GHC -Wno-orphans #-}---------------------------------------------------------------------------------- |--- Module : Data.Singletons.TypeRepStar--- Copyright : (C) 2013 Richard Eisenberg--- License : BSD-style (see LICENSE)--- Maintainer : Richard Eisenberg (rae@cs.brynmawr.edu)--- Stability : experimental--- Portability : non-portable------ This module defines singleton instances making 'TypeRep' the singleton for--- the kind @*@. The definitions don't fully line up with what is expected--- within the singletons library, so expect unusual results!----------------------------------------------------------------------------------module Data.Singletons.TypeRepStar (- Sing(STypeRep),- -- | Here is the definition of the singleton for @*@:- --- -- > newtype instance Sing :: Type -> Type where- -- > STypeRep :: TypeRep a -> Sing a- --- -- Instances for 'SingI', 'SingKind', 'SEq', 'SDecide', and 'TestCoercion' are- -- also supplied.-- SomeTypeRepStar(..)- ) where--import Data.Singletons.Prelude.Instances-import Data.Singletons.Internal-import Data.Singletons.Prelude.Eq-import Data.Singletons.Decide-import Data.Singletons.ShowSing-import Type.Reflection-import Type.Reflection.Unsafe-import Unsafe.Coerce--import Data.Kind-import Data.Type.Equality ((:~:)(..))--newtype instance Sing :: Type -> Type where- STypeRep :: TypeRep a -> Sing a- deriving (Eq, Ord, Show)---- | A variant of 'SomeTypeRep' whose underlying 'TypeRep' is restricted to--- kind @*@.-data SomeTypeRepStar where- SomeTypeRepStar :: forall (a :: *). !(TypeRep a) -> SomeTypeRepStar--instance Eq SomeTypeRepStar where- SomeTypeRepStar a == SomeTypeRepStar b =- case eqTypeRep a b of- Just HRefl -> True- Nothing -> False--instance Ord SomeTypeRepStar where- SomeTypeRepStar a `compare` SomeTypeRepStar b =- typeRepFingerprint a `compare` typeRepFingerprint b--instance Show SomeTypeRepStar where- showsPrec p (SomeTypeRepStar ty) = showsPrec p ty--instance Typeable a => SingI (a :: *) where- sing = STypeRep typeRep-instance SingKind Type where- type Demote Type = SomeTypeRepStar- fromSing (STypeRep tr) = SomeTypeRepStar tr- toSing (SomeTypeRepStar tr) = SomeSing $ STypeRep tr--instance PEq Type where- type (a :: *) == (b :: *) = EqType a b--type family EqType (a :: Type) (b :: Type) where- EqType a a = 'True- EqType a b = 'False--instance SEq Type where- STypeRep tra %== STypeRep trb =- case eqTypeRep tra trb of- Just HRefl -> STrue- Nothing -> unsafeCoerce SFalse- -- the Data.Typeable interface isn't strong enough- -- to enable us to define this without unsafeCoerce--instance SDecide Type where- STypeRep tra %~ STypeRep trb =- case eqTypeRep tra trb of- Just HRefl -> Proved Refl- Nothing -> Disproved (\Refl -> error "Type.Reflection.eqTypeRep failed")--instance ShowSing Type where- showsSingPrec = showsPrec
+ src/Data/Singletons/TypeRepTYPE.hs view
@@ -0,0 +1,100 @@+{-# LANGUAGE RankNTypes, TypeFamilies, FlexibleInstances,+ GADTs, UndecidableInstances, ScopedTypeVariables,+ MagicHash, TypeOperators, PolyKinds #-}+{-# OPTIONS_GHC -Wno-orphans #-}++-----------------------------------------------------------------------------+-- |+-- Module : Data.Singletons.TypeRepTYPE+-- Copyright : (C) 2013 Richard Eisenberg+-- License : BSD-style (see LICENSE)+-- Maintainer : Ryan Scott+-- Stability : experimental+-- Portability : non-portable+--+-- This module defines singleton instances making 'TypeRep' the singleton for+-- the kind @'TYPE' rep@ (for some 'RuntimeRep' @rep@), an instantiation of+-- which is the famous kind 'Type'. The definitions don't fully line up with+-- what is expected within the singletons library, so expect unusual results!+--+----------------------------------------------------------------------------++module Data.Singletons.TypeRepTYPE (+ Sing(STypeRep),+ -- | Here is the definition of the singleton for @'TYPE' rep@:+ --+ -- > newtype instance Sing :: forall (rep :: RuntimeRep). TYPE rep -> Type where+ -- > STypeRep :: forall (rep :: RuntimeRep) (a :: TYPE rep). TypeRep a -> Sing a+ --+ -- Instances for 'SingI', 'SingKind', 'SEq', 'SDecide', and+ -- 'TestCoercion' are also supplied.++ SomeTypeRepTYPE(..)+ ) where++import Data.Kind (Type)+import Data.Singletons.Prelude.Instances+import Data.Singletons.Internal+import Data.Singletons.Prelude.Eq+import Data.Singletons.Decide+import Data.Type.Equality ((:~:)(..))+import GHC.Exts (RuntimeRep, TYPE)+import Type.Reflection+import Type.Reflection.Unsafe+import Unsafe.Coerce++-- | A choice of singleton for the kind @'TYPE' rep@ (for some 'RuntimeRep'+-- @rep@), an instantiation of which is the famous kind 'Type'.+--+-- Conceivably, one could generalize this instance to `Sing :: k -> Type` for+-- /any/ kind @k@, and remove all other 'Sing' instances. We don't adopt this+-- design, however, since it is far more convenient in practice to work with+-- explicit singleton values than 'TypeRep's (for instance, 'TypeRep's are+-- more difficult to pattern match on, and require extra runtime checks).+--+-- We cannot produce explicit singleton values for everything in @'TYPE' rep@,+-- however, since it is an open kind, so we reach for 'TypeRep' in this one+-- particular case.+newtype instance Sing :: forall (rep :: RuntimeRep). TYPE rep -> Type where+ STypeRep :: forall (rep :: RuntimeRep) (a :: TYPE rep). TypeRep a -> Sing a+ deriving (Eq, Ord, Show)++-- | A variant of 'SomeTypeRep' whose underlying 'TypeRep' is restricted to+-- kind @'TYPE' rep@ (for some 'RuntimeRep' @rep@).+data SomeTypeRepTYPE :: RuntimeRep -> Type where+ SomeTypeRepTYPE :: forall (rep :: RuntimeRep) (a :: TYPE rep). !(TypeRep a) -> SomeTypeRepTYPE rep++instance Eq (SomeTypeRepTYPE rep) where+ SomeTypeRepTYPE a == SomeTypeRepTYPE b =+ case eqTypeRep a b of+ Just HRefl -> True+ Nothing -> False++instance Ord (SomeTypeRepTYPE rep) where+ SomeTypeRepTYPE a `compare` SomeTypeRepTYPE b =+ typeRepFingerprint a `compare` typeRepFingerprint b++instance Show (SomeTypeRepTYPE rep) where+ showsPrec p (SomeTypeRepTYPE ty) = showsPrec p ty++instance Typeable a => SingI (a :: TYPE rep) where+ sing = STypeRep typeRep+instance SingKind (TYPE rep) where+ type Demote (TYPE rep) = SomeTypeRepTYPE rep+ fromSing (STypeRep tr) = SomeTypeRepTYPE tr+ toSing (SomeTypeRepTYPE tr) = SomeSing $ STypeRep tr++instance PEq (TYPE rep)+instance SEq (TYPE rep) where+ STypeRep tra %== STypeRep trb =+ case eqTypeRep tra trb of+ Just HRefl -> STrue+ Nothing -> unsafeCoerce SFalse+ -- the Data.Typeable interface isn't strong enough+ -- to enable us to define this without unsafeCoerce++instance SDecide (TYPE rep) where+ STypeRep tra %~ STypeRep trb =+ case eqTypeRep tra trb of+ Just HRefl -> Proved Refl+ Nothing -> Disproved (\Refl -> error "Type.Reflection.eqTypeRep failed")
src/Data/Singletons/Util.hs view
@@ -25,9 +25,13 @@ import qualified Data.Map as Map import Data.List.NonEmpty (NonEmpty(..)) import Data.Map ( Map )+import qualified Data.Monoid as Monoid+import Data.Semigroup as Semigroup import Data.Foldable+import Data.Functor.Identity import Data.Traversable import Data.Generics+import Data.Maybe import Data.Void import Control.Monad.Fail ( MonadFail ) @@ -42,17 +46,43 @@ boundedBasicTypes :: [Name] boundedBasicTypes =- [ ''(,)+ [ ''(,) , ''(,,) , ''(,,,) , ''(,,,,) , ''(,,,,,) , ''(,,,,,,)+ , ''Identity ] ++ enumBasicTypes enumBasicTypes :: [Name] enumBasicTypes = [ ''Bool, ''Ordering, ''() ] +semigroupBasicTypes :: [Name]+semigroupBasicTypes+ = [ ''Dual+ , ''All+ , ''Any+ , ''Sum+ , ''Product+ -- , ''Endo see https://github.com/goldfirere/singletons/issues/82+ {- , ''Alt singletons doesn't support higher kinds :(+ see https://github.com/goldfirere/singletons/issues/150+ -}++ , ''Min+ , ''Max+ , ''Semigroup.First+ , ''Semigroup.Last+ , ''WrappedMonoid+ ]++monoidBasicTypes :: [Name]+monoidBasicTypes+ = [ ''Monoid.First+ , ''Monoid.Last+ ]+ -- like reportWarning, but generalized to any Quasi qReportWarning :: Quasi q => String -> q () qReportWarning = qReport False@@ -218,17 +248,6 @@ resultSigToMaybeKind (DTyVarSig (DPlainTV _)) = Nothing resultSigToMaybeKind (DTyVarSig (DKindedTV _ k)) = Just k --- Get argument types from an arrow type. Removing ForallT is an--- important preprocessing step required by promoteType.-unravel :: DType -> ([DTyVarBndr], [DPred], [DType], DType)-unravel (DForallT tvbs cxt ty) =- let (tvbs', cxt', tys, res) = unravel ty in- (tvbs ++ tvbs', cxt ++ cxt', tys, res)-unravel (DAppT (DAppT DArrowT t1) t2) =- let (tvbs, cxt, tys, res) = unravel t2 in- (tvbs, cxt, t1 : tys, res)-unravel t = ([], [], [], t)- -- Reconstruct arrow kind from the list of kinds ravel :: [DType] -> DType -> DType ravel [] res = res@@ -236,11 +255,12 @@ -- | Convert a 'DPred' to a 'DType'. predToType :: DPred -> DType-predToType (DAppPr p t) = DAppT (predToType p) t-predToType (DSigPr p k) = DSigT (predToType p) k-predToType (DVarPr n) = DVarT n-predToType (DConPr n) = DConT n-predToType DWildCardPr = DWildCardT+predToType (DForallPr tvbs cxt p) = DForallT tvbs cxt (predToType p)+predToType (DAppPr p t) = DAppT (predToType p) t+predToType (DSigPr p k) = DSigT (predToType p) k+predToType (DVarPr n) = DVarT n+predToType (DConPr n) = DConT n+predToType DWildCardPr = DWildCardT -- count the number of arguments in a type countArgs :: DType -> Int@@ -280,10 +300,6 @@ (subst', tvbs') = mapAccumL subst_tvb subst tvbs cxt' = map (substPred subst') cxt inner_ty' = substType subst' inner_ty-- subst_tvb s tvb@(DPlainTV n) = (Map.delete n s, tvb)- subst_tvb s (DKindedTV n k) = (Map.delete n s, DKindedTV n (substKind s k))- substType subst (DAppT ty1 ty2) = substType subst ty1 `DAppT` substType subst ty2 substType subst (DSigT ty ki) = substType subst ty `DSigT` substType subst ki substType subst (DVarT n) =@@ -294,41 +310,47 @@ substType _ ty@(DArrowT) = ty substType _ ty@(DLitT {}) = ty substType _ ty@DWildCardT = ty-substType _ ty@DStarT = ty substPred :: Map Name DType -> DPred -> DPred substPred subst pred | Map.null subst = pred+substPred subst (DForallPr tvbs cxt inner_pred)+ = DForallPr tvbs' cxt' inner_pred'+ where+ (subst', tvbs') = mapAccumL subst_tvb subst tvbs+ cxt' = map (substPred subst') cxt+ inner_pred' = substPred subst' inner_pred substPred subst (DAppPr pred ty) = DAppPr (substPred subst pred) (substType subst ty)-substPred subst (DSigPr pred ki) = DSigPr (substPred subst pred) ki+substPred subst (DSigPr pred ki) =+ DSigPr (substPred subst pred) (substKind subst ki) substPred _ pred@(DVarPr {}) = pred substPred _ pred@(DConPr {}) = pred substPred _ pred@DWildCardPr = pred -substKindInPred :: Map Name DKind -> DPred -> DPred-substKindInPred subst pred | Map.null subst = pred-substKindInPred subst (DAppPr pred ty) =- DAppPr (substKindInPred subst pred) (substType subst ty)-substKindInPred subst (DSigPr pred ki) = DSigPr (substKindInPred subst pred)- (substKind subst ki)-substKindInPred _ pred@(DVarPr {}) = pred-substKindInPred _ pred@(DConPr {}) = pred-substKindInPred _ pred@DWildCardPr = pred--substKindInTvb :: Map Name DKind -> DTyVarBndr -> DTyVarBndr-substKindInTvb _ tvb@(DPlainTV _) = tvb-substKindInTvb subst (DKindedTV n ki) = DKindedTV n (substKind subst ki)--addStar :: DKind -> DKind-addStar t = DAppT (DAppT DArrowT t) DStarT+subst_tvb :: Map Name DKind -> DTyVarBndr -> (Map Name DKind, DTyVarBndr)+subst_tvb s tvb@(DPlainTV n) = (Map.delete n s, tvb)+subst_tvb s (DKindedTV n k) = (Map.delete n s, DKindedTV n (substKind s k)) -addStar_maybe :: Maybe DKind -> Maybe DKind-addStar_maybe = fmap addStar+cuskify :: DTyVarBndr -> DTyVarBndr+cuskify (DPlainTV tvname) = DKindedTV tvname $ DConT typeKindName+cuskify tvb = tvb -- apply a type to a list of types foldType :: DType -> [DType] -> DType foldType = foldl DAppT +-- apply a type to a list of type variable binders+foldTypeTvbs :: DType -> [DTyVarBndr] -> DType+foldTypeTvbs ty = foldType ty . map tvbToType++-- apply a pred to a list of types+foldPred :: DPred -> [DType] -> DPred+foldPred = foldl DAppPr++-- apply a pred to a list of type variable binders+foldPredTvbs :: DPred -> [DTyVarBndr] -> DPred+foldPredTvbs pr = foldPred pr . map tvbToType+ -- | Decompose an applied type into its individual components. For example, this: -- -- @@@ -349,6 +371,13 @@ go acc (DForallT _ _ t) = go acc t go acc t = t :| acc +-- Construct a data type's variable binders, possibly using fresh variables+-- from the data type's kind signature.+buildDataDTvbs :: DsMonad q => [DTyVarBndr] -> Maybe DKind -> q [DTyVarBndr]+buildDataDTvbs tvbs mk = do+ extra_tvbs <- mkExtraDKindBinders $ fromMaybe (DConT typeKindName) mk+ pure $ tvbs ++ extra_tvbs+ -- apply an expression to a list of expressions foldExp :: DExp -> [DExp] -> DExp foldExp = foldl DAppE@@ -404,7 +433,8 @@ qReifyConStrictness = lift `comp1` qReifyConStrictness qIsExtEnabled = lift `comp1` qIsExtEnabled qExtsEnabled = lift qExtsEnabled- qAddForeignFile = lift `comp2` qAddForeignFile+ qAddForeignFilePath = lift `comp2` qAddForeignFilePath+ qAddTempFile = lift `comp1` qAddTempFile qAddCorePlugin = lift `comp1` qAddCorePlugin qRecover exp handler = do
+ tests/ByHand.hs view
@@ -0,0 +1,864 @@+{- ByHand.hs++(c) Richard Eisenberg 2012+rae@cs.brynmawr.edu++Shows the derivations for the singleton definitions done by hand.+This file is a great way to understand the singleton encoding better.++-}++{-# OPTIONS_GHC -Wno-unticked-promoted-constructors -Wno-orphans #-}++{-# LANGUAGE PolyKinds, DataKinds, TypeFamilies, KindSignatures, GADTs,+ FlexibleInstances, FlexibleContexts, UndecidableInstances,+ RankNTypes, TypeOperators, MultiParamTypeClasses,+ FunctionalDependencies, ScopedTypeVariables,+ LambdaCase, TemplateHaskell, EmptyCase,+ AllowAmbiguousTypes, TypeApplications, EmptyCase+ #-}++module ByHand where++import Data.Kind (Type)+import Prelude hiding (Bool, False, True, Maybe, Just, Nothing, Either, Left, Right, map, zipWith,+ (&&), (||), (+), (-))+import Unsafe.Coerce++import Data.Type.Equality hiding (type (==), apply)+import Data.Proxy++import Data.Singletons+import Data.Singletons.Decide++-----------------------------------+-- Original ADTs ------------------+-----------------------------------++data Nat :: Type where+ Zero :: Nat+ Succ :: Nat -> Nat+ deriving Eq++data Bool :: Type where+ False :: Bool+ True :: Bool++data Maybe :: Type -> Type where+ Nothing :: Maybe a+ Just :: a -> Maybe a+ deriving Eq++-- Defined using names to avoid fighting with concrete syntax+data List :: Type -> Type where+ Nil :: List a+ Cons :: a -> List a -> List a+ deriving Eq++data Either :: Type -> Type -> Type where+ Left :: a -> Either a b+ Right :: b -> Either a b+++-----------------------------------+-- One-time definitions -----------+-----------------------------------++-- Promoted equality type class+class PEq k where+ type (==) (a :: k) (b :: k) :: Bool+ -- omitting definition of /=++-- Singleton type equality type class+class SEq k where+ (%==) :: forall (a :: k) (b :: k). Sing a -> Sing b -> Sing (a == b)+ -- omitting definition of %/=++type family If cond tru fls where+ If True tru fls = tru+ If False tru fls = fls++sIf :: Sing a -> Sing b -> Sing c -> Sing (If a b c)+sIf STrue b _ = b+sIf SFalse _ c = c++-----------------------------------+-- Auto-generated code ------------+-----------------------------------++-- Nat++data instance Sing :: Nat -> Type where+ SZero :: Sing Zero+ SSucc :: Sing n -> Sing (Succ n)++data SuccSym0 :: Nat ~> Nat+type instance Apply SuccSym0 x = Succ x++type family EqualsNat (a :: Nat) (b :: Nat) where+ EqualsNat Zero Zero = True+ EqualsNat (Succ a) (Succ b) = a == b+ EqualsNat (n1 :: Nat) (n2 :: Nat) = False+instance PEq Nat where+ type a == b = EqualsNat a b++instance SEq Nat where+ SZero %== SZero = STrue+ SZero %== (SSucc _) = SFalse+ (SSucc _) %== SZero = SFalse+ (SSucc n) %== (SSucc n') = n %== n'++instance SDecide Nat where+ SZero %~ SZero = Proved Refl+ (SSucc m) %~ (SSucc n) =+ case m %~ n of+ Proved Refl -> Proved Refl+ Disproved contra -> Disproved (\Refl -> contra Refl)+ SZero %~ (SSucc _) = Disproved (\case)+ (SSucc _) %~ SZero = Disproved (\case)++instance SingI Zero where+ sing = SZero+instance SingI n => SingI (Succ n) where+ sing = SSucc sing+instance SingKind Nat where+ type Demote Nat = Nat+ fromSing SZero = Zero+ fromSing (SSucc n) = Succ (fromSing n)+ toSing Zero = SomeSing SZero+ toSing (Succ n) = withSomeSing n (\n' -> SomeSing $ SSucc n')++-- Bool++data instance Sing :: Bool -> Type where+ SFalse :: Sing False+ STrue :: Sing True++(&&) :: Bool -> Bool -> Bool+False && _ = False+True && x = x++type family (a :: Bool) && (b :: Bool) :: Bool where+ False && _ = False+ True && x = x++(%&&) :: forall (a :: Bool) (b :: Bool). Sing a -> Sing b -> Sing (a && b)+SFalse %&& SFalse = SFalse+SFalse %&& STrue = SFalse+STrue %&& SFalse = SFalse+STrue %&& STrue = STrue++instance SingI False where+ sing = SFalse+instance SingI True where+ sing = STrue+instance SingKind Bool where+ type Demote Bool = Bool+ fromSing SFalse = False+ fromSing STrue = True+ toSing False = SomeSing SFalse+ toSing True = SomeSing STrue++-- Maybe++data instance Sing :: Maybe k -> Type where+ SNothing :: Sing Nothing+ SJust :: forall k (a :: k). Sing a -> Sing (Just a)++type family EqualsMaybe (a :: Maybe k) (b :: Maybe k) where+ EqualsMaybe Nothing Nothing = True+ EqualsMaybe (Just a) (Just a') = a == a'+ EqualsMaybe (x :: Maybe k) (y :: Maybe k) = False+instance PEq a => PEq (Maybe a) where+ type m1 == m2 = EqualsMaybe m1 m2++instance SDecide k => SDecide (Maybe k) where+ SNothing %~ SNothing = Proved Refl+ (SJust x) %~ (SJust y) =+ case x %~ y of+ Proved Refl -> Proved Refl+ Disproved contra -> Disproved (\Refl -> contra Refl)+ SNothing %~ (SJust _) = Disproved (\case)+ (SJust _) %~ SNothing = Disproved (\case)++instance SEq k => SEq (Maybe k) where+ SNothing %== SNothing = STrue+ SNothing %== (SJust _) = SFalse+ (SJust _) %== SNothing = SFalse+ (SJust a) %== (SJust a') = a %== a'++instance SingI (Nothing :: Maybe k) where+ sing = SNothing+instance SingI a => SingI (Just (a :: k)) where+ sing = SJust sing+instance SingKind k => SingKind (Maybe k) where+ type Demote (Maybe k) = Maybe (Demote k)+ fromSing SNothing = Nothing+ fromSing (SJust a) = Just (fromSing a)+ toSing Nothing = SomeSing SNothing+ toSing (Just x) =+ case toSing x :: SomeSing k of+ SomeSing x' -> SomeSing $ SJust x'++-- List++data instance Sing :: List k -> Type where+ SNil :: Sing Nil+ SCons :: forall k (h :: k) (t :: List k). Sing h -> Sing t -> Sing (Cons h t)++type NilSym0 = Nil++data ConsSym0 :: a ~> List a ~> List a+type instance Apply ConsSym0 a = ConsSym1 a++data ConsSym1 :: a -> List a ~> List a+type instance Apply (ConsSym1 a) b = ConsSym2 a b++type ConsSym2 a b = Cons a b++type family EqualsList (a :: List k) (b :: List k) where+ EqualsList Nil Nil = True+ EqualsList (Cons a b) (Cons a' b') = (a == a') && (b == b')+ EqualsList (x :: List k) (y :: List k) = False+instance PEq a => PEq (List a) where+ type l1 == l2 = EqualsList l1 l2++instance SEq k => SEq (List k) where+ SNil %== SNil = STrue+ SNil %== (SCons _ _) = SFalse+ (SCons _ _) %== SNil = SFalse+ (SCons a b) %== (SCons a' b') = (a %== a') %&& (b %== b')++instance SDecide k => SDecide (List k) where+ SNil %~ SNil = Proved Refl+ (SCons h1 t1) %~ (SCons h2 t2) =+ case (h1 %~ h2, t1 %~ t2) of+ (Proved Refl, Proved Refl) -> Proved Refl+ (Disproved contra, _) -> Disproved (\Refl -> contra Refl)+ (_, Disproved contra) -> Disproved (\Refl -> contra Refl)+ SNil %~ (SCons _ _) = Disproved (\case)+ (SCons _ _) %~ SNil = Disproved (\case)++instance SingI Nil where+ sing = SNil+instance (SingI h, SingI t) =>+ SingI (Cons (h :: k) (t :: List k)) where+ sing = SCons sing sing+instance SingKind k => SingKind (List k) where+ type Demote (List k) = List (Demote k)+ fromSing SNil = Nil+ fromSing (SCons h t) = Cons (fromSing h) (fromSing t)+ toSing Nil = SomeSing SNil+ toSing (Cons h t) =+ case ( toSing h :: SomeSing k+ , toSing t :: SomeSing (List k) ) of+ (SomeSing h', SomeSing t') -> SomeSing $ SCons h' t'++-- Either++data instance Sing :: Either k1 k2 -> Type where+ SLeft :: forall k1 (a :: k1). Sing a -> Sing (Left a)+ SRight :: forall k2 (b :: k2). Sing b -> Sing (Right b)++instance (SingI a) => SingI (Left (a :: k)) where+ sing = SLeft sing+instance (SingI b) => SingI (Right (b :: k)) where+ sing = SRight sing+instance (SingKind k1, SingKind k2) => SingKind (Either k1 k2) where+ type Demote (Either k1 k2) = Either (Demote k1) (Demote k2)+ fromSing (SLeft x) = Left (fromSing x)+ fromSing (SRight x) = Right (fromSing x)+ toSing (Left x) =+ case toSing x :: SomeSing k1 of+ SomeSing x' -> SomeSing $ SLeft x'+ toSing (Right x) =+ case toSing x :: SomeSing k2 of+ SomeSing x' -> SomeSing $ SRight x'++instance (SDecide k1, SDecide k2) => SDecide (Either k1 k2) where+ (SLeft x) %~ (SLeft y) =+ case x %~ y of+ Proved Refl -> Proved Refl+ Disproved contra -> Disproved (\Refl -> contra Refl)+ (SRight x) %~ (SRight y) =+ case x %~ y of+ Proved Refl -> Proved Refl+ Disproved contra -> Disproved (\Refl -> contra Refl)+ (SLeft _) %~ (SRight _) = Disproved (\case)+ (SRight _) %~ (SLeft _) = Disproved (\case)++-- Composite++data Composite :: Type -> Type -> Type where+ MkComp :: Either (Maybe a) b -> Composite a b++data instance Sing :: Composite k1 k2 -> Type where+ SMkComp :: forall k1 k2 (a :: Either (Maybe k1) k2). Sing a -> Sing (MkComp a)++instance SingI a => SingI (MkComp (a :: Either (Maybe k1) k2)) where+ sing = SMkComp sing+instance (SingKind k1, SingKind k2) => SingKind (Composite k1 k2) where+ type Demote (Composite k1 k2) =+ Composite (Demote k1) (Demote k2)+ fromSing (SMkComp x) = MkComp (fromSing x)+ toSing (MkComp x) =+ case toSing x :: SomeSing (Either (Maybe k1) k2) of+ SomeSing x' -> SomeSing $ SMkComp x'++instance (SDecide k1, SDecide k2) => SDecide (Composite k1 k2) where+ (SMkComp x) %~ (SMkComp y) =+ case x %~ y of+ Proved Refl -> Proved Refl+ Disproved contra -> Disproved (\Refl -> contra Refl)++-- Empty++data Empty+data instance Sing :: Empty -> Type+instance SingKind Empty where+ type Demote Empty = Empty+ fromSing = \case+ toSing x = SomeSing (case x of)++-- Type++data Vec :: Type -> Nat -> Type where+ VNil :: Vec a Zero+ VCons :: a -> Vec a n -> Vec a (Succ n)++data Rep = Nat | Maybe Rep | Vec Rep Nat++data instance Sing :: Type -> Type where+ SNat :: Sing Nat+ SMaybe :: Sing a -> Sing (Maybe a)+ SVec :: Sing a -> Sing n -> Sing (Vec a n)++instance SingI Nat where+ sing = SNat+instance SingI a => SingI (Maybe a) where+ sing = SMaybe sing+instance (SingI a, SingI n) => SingI (Vec a n) where+ sing = SVec sing sing++instance SingKind Type where+ type Demote Type = Rep++ fromSing SNat = Nat+ fromSing (SMaybe a) = Maybe (fromSing a)+ fromSing (SVec a n) = Vec (fromSing a) (fromSing n)++ toSing Nat = SomeSing SNat+ toSing (Maybe a) =+ case toSing a :: SomeSing Type of+ SomeSing a' -> SomeSing $ SMaybe a'+ toSing (Vec a n) =+ case ( toSing a :: SomeSing Type+ , toSing n :: SomeSing Nat) of+ (SomeSing a', SomeSing n') -> SomeSing $ SVec a' n'++instance SDecide Type where+ SNat %~ SNat = Proved Refl+ SNat %~ (SMaybe {}) = Disproved (\case)+ SNat %~ (SVec {}) = Disproved (\case)+ (SMaybe {}) %~ SNat = Disproved (\case)+ (SMaybe a) %~ (SMaybe b) =+ case a %~ b of+ Proved Refl -> Proved Refl+ Disproved contra -> Disproved (\Refl -> contra Refl)+ (SMaybe {}) %~ (SVec {}) = Disproved (\case)+ (SVec {}) %~ SNat = Disproved (\case)+ (SVec {}) %~ (SMaybe {}) = Disproved (\case)+ (SVec a1 n1) %~ (SVec a2 n2) =+ case (a1 %~ a2, n1 %~ n2) of+ (Proved Refl, Proved Refl) -> Proved Refl+ (Disproved contra, _) -> Disproved (\Refl -> contra Refl)+ (_, Disproved contra) -> Disproved (\Refl -> contra Refl)++type family EqualsType (a :: Type) (b :: Type) where+ EqualsType a a = True+ EqualsType _ _ = False+instance PEq Type where+ type a == b = EqualsType a b++instance SEq Type where+ a %== b =+ case a %~ b of+ Proved Refl -> STrue+ Disproved _ -> unsafeCoerce SFalse++-----------------------------------+-- Some example functions ---------+-----------------------------------++isJust :: Maybe a -> Bool+isJust Nothing = False+isJust (Just _) = True++type family IsJust (a :: Maybe k) :: Bool where+ IsJust Nothing = False+ IsJust (Just a) = True++-- defunctionalization symbols+data IsJustSym0 :: Maybe a ~> Bool+type instance Apply IsJustSym0 a = IsJust a++sIsJust :: Sing a -> Sing (IsJust a)+sIsJust SNothing = SFalse+sIsJust (SJust _) = STrue++pred :: Nat -> Nat+pred Zero = Zero+pred (Succ n) = n++type family Pred (a :: Nat) :: Nat where+ Pred Zero = Zero+ Pred (Succ n) = n++data PredSym0 :: Nat ~> Nat+type instance Apply PredSym0 a = Pred a++sPred :: forall (t :: Nat). Sing t -> Sing (Pred t)+sPred SZero = SZero+sPred (SSucc n) = n++map :: (a -> b) -> List a -> List b+map _ Nil = Nil+map f (Cons h t) = Cons (f h) (map f t)++type family Map (f :: k1 ~> k2) (l :: List k1) :: List k2 where+ Map f Nil = Nil+ Map f (Cons h t) = Cons (Apply f h) (Map f t)++-- defunctionalization symbols+data MapSym1 :: (a ~> b) -> List a ~> List b+data MapSym0 :: (a ~> b) ~> List a ~> List b+type instance Apply (MapSym1 f) xs = Map f xs+type instance Apply MapSym0 f = MapSym1 f++sMap :: forall k1 k2 (a :: List k1) (f :: k1 ~> k2).+ (forall b. Proxy f -> Sing b -> Sing (Apply f b)) -> Sing a -> Sing (Map f a)+sMap _ SNil = SNil+sMap f (SCons h t) = SCons (f Proxy h) (sMap f t)++-- Alternative implementation of sMap with Proxy outside of callback.+-- Not generated by the library.+sMap2 :: forall k1 k2 (a :: List k1) (f :: k1 ~> k2). Proxy f ->+ (forall b. Sing b -> Sing (Apply f b)) -> Sing a -> Sing (Map f a)+sMap2 _ _ SNil = SNil+sMap2 p f (SCons h t) = SCons (f h) (sMap2 p f t)++-- test sMap+foo :: Sing (Cons (Succ (Succ Zero)) (Cons (Succ Zero) Nil))+foo = sMap (\(_ :: Proxy (TyCon1 Succ)) -> SSucc) (SCons (SSucc SZero) (SCons SZero SNil))++-- test sMap2+bar :: Sing (Cons (Succ (Succ Zero)) (Cons (Succ Zero) Nil))+bar = sMap2 (Proxy :: Proxy SuccSym0) (SSucc) (SCons (SSucc SZero) (SCons SZero SNil))++baz :: Sing (Cons Zero (Cons Zero Nil))+baz = sMap2 (Proxy :: Proxy PredSym0) (sPred) (SCons (SSucc SZero) (SCons SZero SNil))++zipWith :: (a -> b -> c) -> [a] -> [b] -> [c]+zipWith f (x:xs) (y:ys) = f x y : zipWith f xs ys+zipWith _ [] (_:_) = []+zipWith _ (_:_) [] = []+zipWith _ [] [] = []++type family ZipWith (k1 :: a ~> b ~> c)+ (k2 :: List a)+ (k3 :: List b) :: List c where+ ZipWith f (Cons x xs) (Cons y ys) = Cons (Apply (Apply f x) y) (ZipWith f xs ys)+ ZipWith f Nil (Cons z1 z2) = Nil+ ZipWith f (Cons z1 z2) Nil = Nil+ ZipWith f Nil Nil = Nil++data ZipWithSym2 :: (a ~> b ~> c) -> List a -> List b ~> List c+data ZipWithSym1 :: (a ~> b ~> c) -> List a ~> List b ~> List c+data ZipWithSym0 :: (a ~> b ~> c) ~> List a ~> List b ~> List c+type instance Apply (ZipWithSym2 f xs) ys = ZipWith f xs ys+type instance Apply (ZipWithSym1 f) xs = ZipWithSym2 f xs+type instance Apply ZipWithSym0 f = ZipWithSym1 f+++sZipWith :: forall a b c (k1 :: a ~> b ~> c) (k2 :: List a) (k3 :: List b).+ (forall (t1 :: a). Proxy k1 -> Sing t1 -> forall (t2 :: b). Sing t2 -> Sing (Apply (Apply k1 t1) t2))+ -> Sing k2 -> Sing k3 -> Sing (ZipWith k1 k2 k3)+sZipWith f (SCons x xs) (SCons y ys) = SCons (f Proxy x y) (sZipWith f xs ys)+sZipWith _ SNil (SCons _ _) = SNil+sZipWith _ (SCons _ _) SNil = SNil+sZipWith _ SNil SNil = SNil++either :: (a -> c) -> (b -> c) -> Either a b -> c+either l _ (Left x) = l x+either _ r (Right x) = r x++type family Either_ (l :: a ~> c) (r :: b ~> c) (e :: Either a b) :: c where+ Either_ l r (Left x) = Apply l x+ Either_ l r (Right x) = Apply r x++-- defunctionalization symbols+data Either_Sym2 :: (a ~> c) -> (b ~> c) -> Either a b ~> c+data Either_Sym1 :: (a ~> c) -> (b ~> c) ~> Either a b ~> c+data Either_Sym0 :: (a ~> c) ~> (b ~> c) ~> Either a b ~> c+type instance Apply (Either_Sym2 k1 k2) k3 = Either_ k1 k2 k3+type instance Apply (Either_Sym1 k1) k2 = Either_Sym2 k1 k2+type instance Apply Either_Sym0 k1 = Either_Sym1 k1++sEither :: forall a b c+ (l :: a ~> c)+ (r :: b ~> c)+ (e :: Either a b).+ (forall n. Proxy l -> Sing n -> Sing (Apply l n)) ->+ (forall n. Proxy r -> Sing n -> Sing (Apply r n)) ->+ Sing e -> Sing (Either_ l r e)+sEither l _ (SLeft x) = l Proxy x+sEither _ r (SRight x) = r Proxy x++-- Alternative implementation of sEither with Proxy outside of callbacks.+-- Not generated by the library.+sEither2 :: forall a b c+ (l :: a ~> c)+ (r :: b ~> c)+ (e :: Either a b).+ Proxy l -> Proxy r ->+ (forall n. Sing n -> Sing (Apply l n)) ->+ (forall n. Sing n -> Sing (Apply r n)) ->+ Sing e -> Sing (Either_ l r e)+sEither2 _ _ l _ (SLeft x) = l x+sEither2 _ _ _ r (SRight x) = r x++eitherFoo :: Sing (Succ (Succ Zero))+eitherFoo = sEither (\(_ :: Proxy SuccSym0) -> SSucc)+ (\(_ :: Proxy PredSym0) -> sPred) (SLeft (SSucc SZero))++eitherBar :: Sing Zero+eitherBar = sEither2 (Proxy :: Proxy SuccSym0)+ (Proxy :: Proxy PredSym0)+ SSucc+ sPred (SRight (SSucc SZero))++eitherToNat :: Either Nat Nat -> Nat+eitherToNat (Left x) = x+eitherToNat (Right x) = x++type family EitherToNat (e :: Either Nat Nat) :: Nat where+ EitherToNat (Left x) = x+ EitherToNat (Right x) = x++sEitherToNat :: Sing a -> Sing (EitherToNat a)+sEitherToNat (SLeft x) = x+sEitherToNat (SRight x) = x++liftMaybe :: (a -> b) -> Maybe a -> Maybe b+liftMaybe _ Nothing = Nothing+liftMaybe f (Just a) = Just (f a)++type family LiftMaybe (f :: a ~> b) (x :: Maybe a) :: Maybe b where+ LiftMaybe f Nothing = Nothing+ LiftMaybe f (Just a) = Just (Apply f a)++data LiftMaybeSym1 :: (a ~> b) -> Maybe a ~> Maybe b+data LiftMaybeSym0 :: (a ~> b) ~> Maybe a ~> Maybe b+type instance Apply (LiftMaybeSym1 k1) k2 = LiftMaybe k1 k2+type instance Apply LiftMaybeSym0 k1 = LiftMaybeSym1 k1++sLiftMaybe :: forall a b (f :: a ~> b) (x :: Maybe a).+ (forall (y :: a). Proxy f -> Sing y -> Sing (Apply f y)) ->+ Sing x -> Sing (LiftMaybe f x)+sLiftMaybe _ SNothing = SNothing+sLiftMaybe f (SJust a) = SJust (f Proxy a)++(+) :: Nat -> Nat -> Nat+Zero + x = x+(Succ x) + y = Succ (x + y)++type family (+) (m :: Nat) (n :: Nat) :: Nat where+ Zero + x = x+ (Succ x) + y = Succ (x + y)++-- defunctionalization symbols+data (+$$) :: Nat -> Nat ~> Nat+data (+$) :: Nat ~> Nat ~> Nat+type instance Apply ((+$$) k1) k2 = (+) k1 k2+type instance Apply (+$) k1 = (+$$) k1++(%+) :: Sing m -> Sing n -> Sing (m + n)+SZero %+ x = x+(SSucc x) %+ y = SSucc (x %+ y)++(-) :: Nat -> Nat -> Nat+Zero - _ = Zero+(Succ x) - Zero = Succ x+(Succ x) - (Succ y) = x - y++type family (-) (m :: Nat) (n :: Nat) :: Nat where+ Zero - x = Zero+ (Succ x) - Zero = Succ x+ (Succ x) - (Succ y) = x - y++data (-$$) :: Nat -> Nat ~> Nat+data (-$) :: Nat ~> Nat ~> Nat+type instance Apply ((-$$) k1) k2 = (-) k1 k2+type instance Apply (-$) k1 = (-$$) k1++(%-) :: Sing m -> Sing n -> Sing (m - n)+SZero %- _ = SZero+(SSucc x) %- SZero = SSucc x+(SSucc x) %- (SSucc y) = x %- y++isZero :: Nat -> Bool+isZero n = if n == Zero then True else False++type family IsZero (n :: Nat) :: Bool where+ IsZero n = If (n == Zero) True False++data IsZeroSym0 :: Nat ~> Bool+type instance Apply IsZeroSym0 a = IsZero a++sIsZero :: Sing n -> Sing (IsZero n)+sIsZero n = sIf (n %== SZero) STrue SFalse++(||) :: Bool -> Bool -> Bool+False || x = x+True || _ = True++type family (a :: Bool) || (b :: Bool) :: Bool where+ False || x = x+ True || x = True++data (||$$) :: Bool -> Bool ~> Bool+data (||$) :: Bool ~> Bool ~> Bool+type instance Apply ((||$$) a) b = (||) a b+type instance Apply (||$) a = (||$$) a++(%||) :: Sing a -> Sing b -> Sing (a || b)+SFalse %|| x = x+STrue %|| _ = STrue++{-+contains :: Eq a => a -> List a -> Bool+contains _ Nil = False+contains elt (Cons h t) = (elt == h) || contains elt t+-}++type family Contains (a :: k) (b :: List k) :: Bool where+ Contains elt Nil = False+ Contains elt (Cons h t) = (elt == h) || (Contains elt t)++data ContainsSym1 :: a -> List a ~> Bool+data ContainsSym0 :: a ~> List a ~> Bool+type instance Apply (ContainsSym1 a) b = Contains a b+type instance Apply ContainsSym0 a = ContainsSym1 a++{-+sContains :: forall k. SEq k =>+ forall (a :: k). Sing a ->+ forall (list :: List k). Sing list -> Sing (Contains a list)+sContains _ SNil = SFalse+sContains elt (SCons h t) = (elt %== h) %|| (sContains elt t)+-}++sContains :: forall a (t1 :: a) (t2 :: List a). SEq a => Sing t1+ -> Sing t2 -> Sing (Contains t1 t2)+sContains _ SNil =+ let lambda :: forall wild. Sing (Contains wild Nil)+ lambda = SFalse+ in+ lambda+sContains elt (SCons h t) =+ let lambda :: forall elt h t. (elt ~ t1, (Cons h t) ~ t2) => Sing elt -> Sing h -> Sing t -> Sing (Contains elt (Cons h t))+ lambda elt' h' t' = (elt' %== h') %|| sContains elt' t'+ in+ lambda elt h t++{-+cont :: Eq a => a -> List a -> Bool+cont = \elt list -> case list of+ Nil -> False+ Cons h t -> (elt == h) || cont elt t+-}++type family Cont :: a ~> List a ~> Bool where+ Cont = Lambda10Sym0++data Lambda10Sym0 f where+ KindInferenceLambda10Sym0 :: (Lambda10Sym0 @@ arg) ~ Lambda10Sym1 arg+ => Proxy arg+ -> Lambda10Sym0 f+type instance Lambda10Sym0 `Apply` x = Lambda10Sym1 x++data Lambda10Sym1 a f where+ KindInferenceLambda10Sym1 :: (Lambda10Sym1 a @@ arg) ~ Lambda10Sym2 a arg+ => Proxy arg+ -> Lambda10Sym1 a f+type instance (Lambda10Sym1 a) `Apply` b = Lambda10Sym2 a b++type Lambda10Sym2 a b = Lambda10 a b++type family Lambda10 a b where+ Lambda10 elt list = Case10 elt list list++type family Case10 a b scrut where+ Case10 elt list Nil = False+ Case10 elt list (Cons h t) = (||$) @@ ((==$) @@ elt @@ h) @@ (Cont @@ elt @@ t)++data (==$) f where+ (:###==$) :: ((==$) @@ arg) ~ (==$$) arg+ => Proxy arg+ -> (==$) f+type instance (==$) `Apply` x = (==$$) x++data (==$$) a f where+ (:###==$$) :: ((==$$) x @@ arg) ~ (==$$$) x arg+ => Proxy arg+ -> (==$$) x y+type instance (==$$) a `Apply` b = (==$$$) a b++type (==$$$) a b = (==) a b+++impNat :: forall m n. SingI n => Proxy n -> Sing m -> Sing (n + m)+impNat _ sm = (sing :: Sing n) %+ sm++callImpNat :: forall n m. Sing n -> Sing m -> Sing (n + m)+callImpNat sn sm = withSingI sn (impNat (Proxy :: Proxy n) sm)++instance Show (Sing (n :: Nat)) where+ show SZero = "SZero"+ show (SSucc n) = "SSucc (" ++ (show n) ++ ")"++{-+findIndices :: (a -> Bool) -> [a] -> [Nat]+findIndices p ls = loop Zero ls+ where+ loop _ [] = []+ loop n (x:xs) | p x = n : loop (Succ n) xs+ | otherwise = loop (Succ n) xs+-}++findIndices' :: forall a. (a -> Bool) -> [a] -> [Nat]+findIndices' p ls =+ let loop :: Nat -> [a] -> [Nat]+ loop _ [] = []+ loop n (x:xs) = case p x of+ True -> n : loop (Succ n) xs+ False -> loop (Succ n) xs+ in+ loop Zero ls++type family FindIndices (f :: a ~> Bool) (ls :: List a) :: List Nat where+ FindIndices p ls = (Let123LoopSym2 p ls) @@ Zero @@ ls++type family Let123Loop p ls (arg1 :: Nat) (arg2 :: List a) :: List Nat where+ Let123Loop p ls z Nil = Nil+ Let123Loop p ls n (x `Cons` xs) = Case123 p ls n x xs (p @@ x)++type family Case123 p ls n x xs scrut where+ Case123 p ls n x xs True = n `Cons` ((Let123LoopSym2 p ls) @@ (Succ n) @@ xs)+ Case123 p ls n x xs False = (Let123LoopSym2 p ls) @@ (Succ n) @@ xs++data Let123LoopSym2 a b c where+ Let123LoopSym2KindInfernece :: ((Let123LoopSym2 a b @@ z) ~ Let123LoopSym3 a b z)+ => Proxy z+ -> Let123LoopSym2 a b c+type instance Apply (Let123LoopSym2 a b) c = Let123LoopSym3 a b c++data Let123LoopSym3 a b c d where+ KindInferenceLet123LoopSym3 :: ((Let123LoopSym3 a b c @@ z) ~ Let123LoopSym4 a b c z)+ => Proxy z+ -> Let123LoopSym3 a b c d+type instance Apply (Let123LoopSym3 a b c) d = Let123LoopSym4 a b c d++type Let123LoopSym4 a b c d = Let123Loop a b c d++data FindIndicesSym0 a where+ KindInferenceFindIndicesSym0 :: (FindIndicesSym0 @@ z) ~ FindIndicesSym1 z+ => Proxy z+ -> FindIndicesSym0 a+type instance Apply FindIndicesSym0 a = FindIndicesSym1 a++data FindIndicesSym1 a b where+ KindInferenceFindIndicesSym1 :: (FindIndicesSym1 a @@ z) ~ FindIndicesSym2 a z+ => Proxy z+ -> FindIndicesSym1 a b+type instance Apply (FindIndicesSym1 a) b = FindIndicesSym2 a b++type FindIndicesSym2 a b = FindIndices a b++sFindIndices :: forall a (t1 :: a ~> Bool) (t2 :: (List a)).+ Sing t1+ -> Sing t2+ -> Sing (FindIndicesSym0 @@ t1 @@ t2)+sFindIndices sP sLs =+ let sLoop :: forall (u1 :: Nat). Sing u1+ -> forall (u2 :: List a). Sing u2+ -> Sing ((Let123LoopSym2 t1 t2) @@ u1 @@ u2)+ sLoop _ SNil = SNil+ sLoop sN (sX `SCons` sXs) = case sP @@ sX of+ STrue -> (singFun2 @ConsSym0 SCons) @@ sN @@+ ((singFun2 @(Let123LoopSym2 t1 t2) sLoop) @@ ((singFun1 @SuccSym0 SSucc) @@ sN) @@ sXs)+ SFalse -> (singFun2 @(Let123LoopSym2 t1 t2) sLoop) @@ ((singFun1 @SuccSym0 SSucc) @@ sN) @@ sXs+ in+ (singFun2 @(Let123LoopSym2 t1 t2) sLoop) @@ SZero @@ sLs+++fI :: forall a. (a -> Bool) -> [a] -> [Nat]+fI = \p ls ->+ let loop :: Nat -> [a] -> [Nat]+ loop _ [] = []+ loop n (x:xs) = case p x of+ True -> n : loop (Succ n) xs+ False -> loop (Succ n) xs+ in+ loop Zero ls++type FI = Lambda22Sym0++type FISym0 = FI++type family Lambda22 p ls where+ Lambda22 p ls = (Let123LoopSym2 p ls) @@ Zero @@ ls++data Lambda22Sym0 a where+ KindInferenceLambda22Sym0 :: (Lambda22Sym0 @@ z) ~ Lambda22Sym1 z+ => Proxy z+ -> Lambda22Sym0 a+type instance Apply Lambda22Sym0 a = Lambda22Sym1 a++data Lambda22Sym1 a b where+ KindInferenceLambda22Sym1 :: (Lambda22Sym1 a @@ z) ~ Lambda22Sym2 a z+ => Proxy z+ -> Lambda22Sym1 a b+type instance Apply (Lambda22Sym1 a) b = Lambda22Sym2 a b++type Lambda22Sym2 a b = Lambda22 a b++{-+sFI :: forall a (t1 :: a ~> Bool) (t2 :: List a). Sing t1+ -> Sing t2+ -> Sing (FISym0 @@ t1 @@ t2)+sFI = unSingFun2 (singFun2 @FI (\p ls ->+ let lambda :: forall {-(t1 :: a ~> Bool)-} t1 t2. Sing t1 -> Sing t2 -> Sing (Lambda22Sym0 @@ t1 @@ t2)+ lambda sP sLs =+ let sLoop :: (Lambda22Sym0 @@ t1 @@ t2) ~ (Let123LoopSym2 t1 t2 @@ Zero @@ t2) => forall (u1 :: Nat). Sing u1+ -> forall {-(u2 :: List a)-} u2. Sing u2+ -> Sing ((Let123LoopSym2 t1 t2) @@ u1 @@ u2)+ sLoop _ SNil = SNil+ sLoop sN (sX `SCons` sXs) = case sP @@ sX of+ STrue -> (singFun2 @ConsSym0 SCons) @@ sN @@+ ((singFun2 @(Let123LoopSym2 t1 t2) sLoop) @@ ((singFun1 @SuccSym0 SSucc) @@ sN) @@ sXs)+ SFalse -> (singFun2 @(Let123LoopSym2 t1 t2) sLoop) @@ ((singFun1 @SuccSym0 SSucc) @@ sN) @@ sXs+ in+ (singFun2 @(Let123LoopSym2 t1 t2) sLoop) @@ SZero @@ sLs+ in+ lambda p ls+ ))+-}++------------------------------------------------------------++data G a where+ MkG :: G Bool++data instance Sing :: G a -> Type where+ SMkG :: Sing MkG
+ tests/ByHand2.hs view
@@ -0,0 +1,210 @@+{-# LANGUAGE DataKinds, PolyKinds, TypeFamilies, GADTs, TypeOperators,+ DefaultSignatures, ScopedTypeVariables, InstanceSigs,+ MultiParamTypeClasses, FunctionalDependencies,+ UndecidableInstances #-}+{-# OPTIONS_GHC -Wno-missing-signatures #-}+module ByHand2 where++import Prelude hiding ( Eq(..), Ord(..), Bool(..), Ordering(..), not )+import Data.Kind (Type)+import Data.Singletons (Sing)++data Nat = Zero | Succ Nat+data Bool = False | True+data Ordering = LT | EQ | GT++not :: Bool -> Bool+not False = True+not True = False++class Eq a where+ (==) :: a -> a -> Bool+ (/=) :: a -> a -> Bool+ infix 4 ==, /=++ x == y = not (x /= y)+ x /= y = not (x == y)++instance Eq Nat where+ Zero == Zero = True+ Zero == Succ _ = False+ Succ _ == Zero = False+ Succ x == Succ y = x == y++data instance Sing :: Bool -> Type where+ SFalse :: Sing 'False+ STrue :: Sing 'True++data instance Sing :: Nat -> Type where+ SZero :: Sing 'Zero+ SSucc :: Sing n -> Sing ('Succ n)++type family Not (x :: Bool) :: Bool where+ Not 'True = 'False+ Not 'False = 'True++sNot :: Sing b -> Sing (Not b)+sNot STrue = SFalse+sNot SFalse = STrue++class PEq a where+ type (==) (x :: a) (y :: a) :: Bool+ type (/=) (x :: a) (y :: a) :: Bool++ type x == y = Not (x /= y)+ type x /= y = Not (x == y)++instance PEq Nat where+ type 'Zero == 'Zero = 'True+ type 'Succ x == 'Zero = 'False+ type 'Zero == 'Succ x = 'False+ type 'Succ x == 'Succ y = x == y++class SEq a where+ (%==) :: Sing (x :: a) -> Sing (y :: a) -> Sing (x == y)+ (%/=) :: Sing (x :: a) -> Sing (y :: a) -> Sing (x /= y)++ default (%==) :: ((x == y) ~ (Not (x /= y))) => Sing (x :: a) -> Sing (y :: a) -> Sing (x == y)+ x %== y = sNot (x %/= y)++ default (%/=) :: ((x /= y) ~ (Not (x == y))) => Sing (x :: a) -> Sing (y :: a) -> Sing (x /= y)+ x %/= y = sNot (x %== y)++instance SEq Nat where+ (%==) :: forall (x :: Nat) (y :: Nat). Sing x -> Sing y -> Sing (x == y)+ SZero %== SZero = STrue+ SSucc _ %== SZero = SFalse+ SZero %== SSucc _ = SFalse+ SSucc x %== SSucc y = x %== y++instance Eq Ordering where+ LT == LT = True+ LT == EQ = False+ LT == GT = False+ EQ == LT = False+ EQ == EQ = True+ EQ == GT = False+ GT == LT = False+ GT == EQ = False+ GT == GT = True++class Eq a => Ord a where+ compare :: a -> a -> Ordering+ (<) :: a -> a -> Bool++ x < y = compare x y == LT++class PEq a => POrd a where+ type Compare (x :: a) (y :: a) :: Ordering+ type (<) (x :: a) (y :: a) :: Bool++ type x < y = Compare x y == 'LT++instance Ord Nat where+ compare Zero Zero = EQ+ compare Zero (Succ _) = LT+ compare (Succ _) Zero = GT+ compare (Succ a) (Succ b) = compare a b++instance POrd Nat where+ type Compare 'Zero 'Zero = 'EQ+ type Compare 'Zero ('Succ x) = 'LT+ type Compare ('Succ x) 'Zero = 'GT+ type Compare ('Succ x) ('Succ y) = Compare x y++data instance Sing :: Ordering -> Type where+ SLT :: Sing 'LT+ SEQ :: Sing 'EQ+ SGT :: Sing 'GT++instance PEq Ordering where+ type 'LT == 'LT = 'True+ type 'LT == 'EQ = 'False+ type 'LT == 'GT = 'False+ type 'EQ == 'LT = 'False+ type 'EQ == 'EQ = 'True+ type 'EQ == 'GT = 'False+ type 'GT == 'LT = 'False+ type 'GT == 'EQ = 'False+ type 'GT == 'GT = 'True++instance SEq Ordering where+ SLT %== SLT = STrue+ SLT %== SEQ = SFalse+ SLT %== SGT = SFalse+ SEQ %== SLT = SFalse+ SEQ %== SEQ = STrue+ SEQ %== SGT = SFalse+ SGT %== SLT = SFalse+ SGT %== SEQ = SFalse+ SGT %== SGT = STrue++class SEq a => SOrd a where+ sCompare :: Sing (x :: a) -> Sing (y :: a) -> Sing (Compare x y)+ (%<) :: Sing (x :: a) -> Sing (y :: a) -> Sing (x < y)++ default (%<) :: ((x < y) ~ (Compare x y == 'LT)) => Sing (x :: a) -> Sing (y :: a) -> Sing (x < y)+ x %< y = sCompare x y %== SLT++instance SOrd Nat where+ sCompare SZero SZero = SEQ+ sCompare SZero (SSucc _) = SLT+ sCompare (SSucc _) SZero = SGT+ sCompare (SSucc x) (SSucc y) = sCompare x y++class Pointed a where+ point :: a++class PPointed a where+ type Point :: a++class SPointed a where+ sPoint :: Sing (Point :: a)++instance Pointed Nat where+ point = Zero++instance PPointed Nat where+ type Point = 'Zero++instance SPointed Nat where+ sPoint = SZero++--------------------------------++class FD a b | a -> b where+ meth :: a -> a+ l2r :: a -> b++instance FD Bool Nat where+ meth = not+ l2r False = Zero+ l2r True = Succ Zero++t1 = meth True+t2 = l2r False++class PFD a b | a -> b where+ type Meth (x :: a) :: a+ type L2r (x :: a) :: b++instance PFD Bool Nat where+ type Meth a = Not a+ type L2r 'False = 'Zero+ type L2r 'True = 'Succ 'Zero++type T1 = Meth 'True+type T2 = L2r 'False++class SFD a b | a -> b where+ sMeth :: forall (x :: a). Sing x -> Sing (Meth x :: a)+ sL2r :: forall (x :: a). Sing x -> Sing (L2r x :: b)++instance SFD Bool Nat where+ sMeth x = sNot x+ sL2r SFalse = SZero+ sL2r STrue = SSucc SZero++sT1 = sMeth STrue+sT2 :: Sing (T2 :: Nat)+sT2 = sL2r SFalse
tests/SingletonsTestSuite.hs view
@@ -63,12 +63,15 @@ , compileAndDumpStdTest "T145" , compileAndDumpStdTest "PolyKinds" , compileAndDumpStdTest "PolyKindsApp"+ , compileAndDumpStdTest "T160" , compileAndDumpStdTest "T163" , compileAndDumpStdTest "T166" , compileAndDumpStdTest "T172" , compileAndDumpStdTest "T175" , compileAndDumpStdTest "T176" , compileAndDumpStdTest "T178"+ , compileAndDumpStdTest "T183"+ , compileAndDumpStdTest "T184" , compileAndDumpStdTest "T187" , compileAndDumpStdTest "T190" , compileAndDumpStdTest "ShowDeriving"@@ -79,11 +82,26 @@ , compileAndDumpStdTest "T200" , compileAndDumpStdTest "T206" , compileAndDumpStdTest "T209"+ , compileAndDumpStdTest "T216" , compileAndDumpStdTest "T226" , compileAndDumpStdTest "T229" , compileAndDumpStdTest "T249" , compileAndDumpStdTest "OverloadedStrings" , compileAndDumpStdTest "T271"+ , compileAndDumpStdTest "T287"+ , compileAndDumpStdTest "TypeRepTYPE"+ , compileAndDumpStdTest "T297"+ , compileAndDumpStdTest "T312"+ , compileAndDumpStdTest "T313"+ , compileAndDumpStdTest "T316"+ , compileAndDumpStdTest "T322"+ , compileAndDumpStdTest "NatSymbolReflexive"+ , compileAndDumpStdTest "T323"+ , compileAndDumpStdTest "T332"+ , compileAndDumpStdTest "T342"+ , compileAndDumpStdTest "FunctorLikeDeriving"+ , compileAndDumpStdTest "T353"+ , compileAndDumpStdTest "T358" ], testCompileAndDumpGroup "Promote" [ compileAndDumpStdTest "Constructors"@@ -92,6 +110,7 @@ , compileAndDumpStdTest "Pragmas" , compileAndDumpStdTest "Prelude" , compileAndDumpStdTest "T180"+ , compileAndDumpStdTest "T361" ], testGroup "Database client" [ compileAndDumpTest "GradingClient/Database" ghcOpts
tests/SingletonsTestSuiteUtils.hs view
@@ -1,4 +1,7 @@-{-# LANGUAGE CPP, DeriveDataTypeable #-}+{-# LANGUAGE CPP #-}+{-# LANGUAGE DeriveAnyClass #-}+{-# LANGUAGE DerivingStrategies #-}+{-# LANGUAGE GeneralizedNewtypeDeriving #-} module SingletonsTestSuiteUtils ( compileAndDumpTest , compileAndDumpStdTest@@ -7,77 +10,42 @@ , cleanFiles ) where +import Build_singletons ( ghcPath, ghcFlags, rootDir ) import Control.Exception ( Exception, throw )-import Control.Monad ( liftM )-import Data.List ( intercalate, find, isPrefixOf )-import Data.Typeable ( Typeable )+import Data.List ( intercalate ) import System.Exit ( ExitCode(..) ) import System.FilePath ( takeBaseName, pathSeparator ) import System.IO ( IOMode(..), hGetContents, openFile )-import System.IO.Unsafe ( unsafePerformIO )+import System.FilePath ( (</>) ) import System.Process ( CreateProcess(..), StdStream(..) , createProcess, proc, waitForProcess , callCommand )-import System.Directory ( doesFileExist ) import Test.Tasty ( TestTree, testGroup ) import Test.Tasty.Golden ( goldenVsFileDiff ) -#ifndef CURRENT_PACKAGE_KEY-#include "../dist/build/autogen/cabal_macros.h"-#endif- -- Some infractructure for handling external process errors-data ProcessException = ProcessException String deriving (Typeable)--instance Exception ProcessException--instance Show ProcessException where- show (ProcessException msg) = msg--- GHC executable name (if on path) or full path-ghcPath :: FilePath-ghcPath = "ghc"+newtype ProcessException = ProcessException String+ deriving newtype (Eq, Ord, Show)+ deriving anyclass Exception -- directory storing compile-and-run tests and golden files goldenPath :: FilePath-goldenPath = "tests/compile-and-dump/"---- path containing compiled *.hi files. Relative to goldenPath.--- See Note [-package-name hack]-includePath :: FilePath-includePath = "../../dist/build"+goldenPath = rootDir </> "tests/compile-and-dump/" ghcVersion :: String-ghcVersion = ".ghc84"---- If a cabal sandbox is present, use its package database instead of the global one.-extraOpts :: [String]-extraOpts = unsafePerformIO $ do- sandboxed <- doesFileExist "cabal.sandbox.config"- if sandboxed- then do- let prefix = "package-db: "- opts_from_config config =- case find (prefix `isPrefixOf`) $ lines config of- Nothing -> []- Just db_line -> let package_db = drop (length prefix) db_line in- [ "-no-user-package-db"- , "-package-db " ++ package_db ]- opts_from_config `liftM` readFile "cabal.sandbox.config"- else return []+ghcVersion = ".ghc86" -- GHC options used when running the tests ghcOpts :: [String]-ghcOpts = extraOpts ++ [+ghcOpts = ghcFlags ++ [ "-v0" , "-c"- , "-this-unit-id " ++ CURRENT_PACKAGE_KEY -- See Note [-this-unit-id hack] , "-ddump-splices" , "-dsuppress-uniques" , "-fforce-recomp" , "-fprint-explicit-kinds" , "-O0"- , "-i" ++ includePath -- necessary because some tests use these modules- , "-itests/compile-and-dump"+ , "-i" ++ goldenPath , "-XTemplateHaskell" , "-XDataKinds" , "-XKindSignatures"@@ -97,24 +65,13 @@ , "-XInstanceSigs" , "-XDefaultSignatures" , "-XCPP"- , "-XTypeInType" , "-XStandaloneDeriving" , "-XTypeApplications" , "-XEmptyCase"+ , "-XNoStarIsType"+ , "-XQuantifiedConstraints" ] --- Note [-this-unit-id hack]--- ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~------ We want to avoid installing singletons package before running the--- testsuite, because in this way we prevent double compilation of the--- library. To do this we pass -this-unit-id option to GHC to convince--- it that the test files are actually part of the current--- package. This means that library doesn't have to be installed--- globally and interface files generated during library compilation--- can be used when compiling test cases. We use "-i" option to point--- GHC to directory containing compiled interface files.- -- Compile a test using specified GHC options. Save output to file, filter with -- sed and compare it with golden file. This function also builds golden file -- from a template file. Putting it here is a bit of a hack but it's easy and it@@ -216,6 +173,10 @@ , "-e", "'s/[0-9][0-9][0-9][0-9][0-9][0-9][0-9][0-9][0-9][0-9][0-9][0-9][0-9][0-9][0-9][0-9][0-9][0-9][0-9]/0123456789876543210/g'" , "-e", "'s/[!#$%&*+./>]\\{10\\}/%%%%%%%%%%/g'" , "-e", "'s/[!#$%&*+./>]\\{19\\}/%%%%%%%%%%%%%%%%%%%/g'"+ -- Remove pretty-printed references to the singletons package+ -- (e.g., turn `singletons-2.4.1:Sing` into `Sing`) to make the output+ -- more stable.+ , "-e", "'s/singletons-[0-9]\\+\\(\\.[0-9]\\+\\)*://g'" , file ] @@ -223,7 +184,7 @@ buildGoldenFile templateFilePath goldenFilePath = do hGoldenFile <- openFile goldenFilePath WriteMode runProcessWithOpts (UseHandle hGoldenFile) "awk"- [ "-f", "tests/compile-and-dump/buildGoldenFiles.awk"+ [ "-f", goldenPath </> "buildGoldenFiles.awk" , templateFilePath ] @@ -242,4 +203,4 @@ throw $ ProcessException ("Error when running " ++ program ++ ":\n" ++ err) cleanFiles :: IO ()-cleanFiles = callCommand "rm -f tests/compile-and-dump/*/*.{hi,o}"+cleanFiles = callCommand $ "rm -f " ++ rootDir </> "tests/compile-and-dump/*/*.{hi,o}"
− tests/compile-and-dump/GradingClient/Database.ghc84.template
@@ -1,2563 +0,0 @@-GradingClient/Database.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| data Nat- = Zero | Succ Nat- deriving (Eq, Ord) |]- ======>- data Nat- = Zero | Succ Nat- deriving (Eq, Ord)- type ZeroSym0 = Zero- type SuccSym1 (t :: Nat) = Succ t- instance SuppressUnusedWarnings SuccSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) SuccSym0KindInference) GHC.Tuple.())- data SuccSym0 (l :: TyFun Nat Nat)- = forall arg. SameKind (Apply SuccSym0 arg) (SuccSym1 arg) =>- SuccSym0KindInference- type instance Apply SuccSym0 l = Succ l- type family Compare_0123456789876543210 (a :: Nat) (a :: Nat) :: Ordering where- Compare_0123456789876543210 Zero Zero = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) '[]- Compare_0123456789876543210 (Succ a_0123456789876543210) (Succ b_0123456789876543210) = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) '[])- Compare_0123456789876543210 Zero (Succ _) = LTSym0- Compare_0123456789876543210 (Succ _) Zero = GTSym0- type Compare_0123456789876543210Sym2 (t :: Nat) (t :: Nat) =- Compare_0123456789876543210 t t- instance SuppressUnusedWarnings Compare_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Compare_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Compare_0123456789876543210Sym1 (l :: Nat) (l :: TyFun Nat Ordering)- = forall arg. SameKind (Apply (Compare_0123456789876543210Sym1 l) arg) (Compare_0123456789876543210Sym2 l arg) =>- Compare_0123456789876543210Sym1KindInference- type instance Apply (Compare_0123456789876543210Sym1 l) l = Compare_0123456789876543210 l l- instance SuppressUnusedWarnings Compare_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Compare_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Compare_0123456789876543210Sym0 (l :: TyFun Nat (TyFun Nat Ordering- -> Type))- = forall arg. SameKind (Apply Compare_0123456789876543210Sym0 arg) (Compare_0123456789876543210Sym1 arg) =>- Compare_0123456789876543210Sym0KindInference- type instance Apply Compare_0123456789876543210Sym0 l = Compare_0123456789876543210Sym1 l- instance POrd Nat where- type Compare a a = Apply (Apply Compare_0123456789876543210Sym0 a) a- type family Equals_0123456789876543210 (a :: Nat) (b :: Nat) :: Bool where- Equals_0123456789876543210 Zero Zero = TrueSym0- Equals_0123456789876543210 (Succ a) (Succ b) = (==) a b- Equals_0123456789876543210 (_ :: Nat) (_ :: Nat) = FalseSym0- instance PEq Nat where- type (==) a b = Equals_0123456789876543210 a b- data instance Sing (z :: Nat)- where- SZero :: Sing Zero- SSucc :: forall (n :: Nat). (Sing (n :: Nat)) -> Sing (Succ n)- type SNat = (Sing :: Nat -> Type)- instance SingKind Nat where- type Demote Nat = Nat- fromSing SZero = Zero- fromSing (SSucc b) = Succ (fromSing b)- toSing Zero = SomeSing SZero- toSing (Succ (b :: Demote Nat))- = case toSing b :: SomeSing Nat of {- SomeSing c -> SomeSing (SSucc c) }- instance SOrd Nat => SOrd Nat where- sCompare ::- forall (t1 :: Nat) (t2 :: Nat).- Sing t1- -> Sing t2- -> Sing (Apply (Apply (CompareSym0 :: TyFun Nat (TyFun Nat Ordering- -> Type)- -> Type) t1) t2)- sCompare SZero SZero- = (applySing- ((applySing- ((applySing ((singFun3 @FoldlSym0) sFoldl))- ((singFun2 @ThenCmpSym0) sThenCmp)))- SEQ))- SNil- sCompare- (SSucc (sA_0123456789876543210 :: Sing a_0123456789876543210))- (SSucc (sB_0123456789876543210 :: Sing b_0123456789876543210))- = (applySing- ((applySing- ((applySing ((singFun3 @FoldlSym0) sFoldl))- ((singFun2 @ThenCmpSym0) sThenCmp)))- SEQ))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- SNil)- sCompare SZero (SSucc _) = SLT- sCompare (SSucc _) SZero = SGT- instance SEq Nat => SEq Nat where- (%==) SZero SZero = STrue- (%==) SZero (SSucc _) = SFalse- (%==) (SSucc _) SZero = SFalse- (%==) (SSucc a) (SSucc b) = ((%==) a) b- instance SDecide Nat => SDecide Nat where- (%~) SZero SZero = Proved Refl- (%~) SZero (SSucc _) = Disproved (\ x -> case x of)- (%~) (SSucc _) SZero = Disproved (\ x -> case x of)- (%~) (SSucc a) (SSucc b)- = case ((%~) a) b of- Proved Refl -> Proved Refl- Disproved contra- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- instance SingI Zero where- sing = SZero- instance SingI n => SingI (Succ (n :: Nat)) where- sing = SSucc sing-GradingClient/Database.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| append :: Schema -> Schema -> Schema- append (Sch s1) (Sch s2) = Sch (s1 ++ s2)- attrNotIn :: Attribute -> Schema -> Bool- attrNotIn _ (Sch []) = True- attrNotIn (Attr name u) (Sch ((Attr name' _) : t))- = (name /= name') && (attrNotIn (Attr name u) (Sch t))- disjoint :: Schema -> Schema -> Bool- disjoint (Sch []) _ = True- disjoint (Sch (h : t)) s = (attrNotIn h s) && (disjoint (Sch t) s)- occurs :: [AChar] -> Schema -> Bool- occurs _ (Sch []) = False- occurs name (Sch ((Attr name' _) : attrs))- = name == name' || occurs name (Sch attrs)- lookup :: [AChar] -> Schema -> U- lookup _ (Sch []) = undefined- lookup name (Sch ((Attr name' u) : attrs))- = if name == name' then u else lookup name (Sch attrs)- - data U- = BOOL | STRING | NAT | VEC U Nat- deriving (Read, Eq, Show)- data AChar- = CA |- CB |- CC |- CD |- CE |- CF |- CG |- CH |- CI |- CJ |- CK |- CL |- CM |- CN |- CO |- CP |- CQ |- CR |- CS |- CT |- CU |- CV |- CW |- CX |- CY |- CZ- deriving (Read, Show, Eq)- data Attribute = Attr [AChar] U- data Schema = Sch [Attribute] |]- ======>- data U- = BOOL | STRING | NAT | VEC U Nat- deriving (Read, Eq, Show)- data AChar- = CA |- CB |- CC |- CD |- CE |- CF |- CG |- CH |- CI |- CJ |- CK |- CL |- CM |- CN |- CO |- CP |- CQ |- CR |- CS |- CT |- CU |- CV |- CW |- CX |- CY |- CZ- deriving (Read, Show, Eq)- data Attribute = Attr [AChar] U- data Schema = Sch [Attribute]- append :: Schema -> Schema -> Schema- append (Sch s1) (Sch s2) = Sch (s1 ++ s2)- attrNotIn :: Attribute -> Schema -> Bool- attrNotIn _ (Sch GHC.Types.[]) = True- attrNotIn (Attr name u) (Sch (Attr name' _ GHC.Types.: t))- = ((name /= name') && ((attrNotIn ((Attr name) u)) (Sch t)))- disjoint :: Schema -> Schema -> Bool- disjoint (Sch GHC.Types.[]) _ = True- disjoint (Sch (h GHC.Types.: t)) s- = (((attrNotIn h) s) && ((disjoint (Sch t)) s))- occurs :: [AChar] -> Schema -> Bool- occurs _ (Sch GHC.Types.[]) = False- occurs name (Sch (Attr name' _ GHC.Types.: attrs))- = ((name == name') || ((occurs name) (Sch attrs)))- lookup :: [AChar] -> Schema -> U- lookup _ (Sch GHC.Types.[]) = undefined- lookup name (Sch (Attr name' u GHC.Types.: attrs))- = if (name == name') then u else (lookup name) (Sch attrs)- type BOOLSym0 = BOOL- type STRINGSym0 = STRING- type NATSym0 = NAT- type VECSym2 (t :: U) (t :: Nat) = VEC t t- instance SuppressUnusedWarnings VECSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) VECSym1KindInference) GHC.Tuple.())- data VECSym1 (l :: U) (l :: TyFun Nat U)- = forall arg. SameKind (Apply (VECSym1 l) arg) (VECSym2 l arg) =>- VECSym1KindInference- type instance Apply (VECSym1 l) l = VEC l l- instance SuppressUnusedWarnings VECSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) VECSym0KindInference) GHC.Tuple.())- data VECSym0 (l :: TyFun U (TyFun Nat U -> Type))- = forall arg. SameKind (Apply VECSym0 arg) (VECSym1 arg) =>- VECSym0KindInference- type instance Apply VECSym0 l = VECSym1 l- type CASym0 = CA- type CBSym0 = CB- type CCSym0 = CC- type CDSym0 = CD- type CESym0 = CE- type CFSym0 = CF- type CGSym0 = CG- type CHSym0 = CH- type CISym0 = CI- type CJSym0 = CJ- type CKSym0 = CK- type CLSym0 = CL- type CMSym0 = CM- type CNSym0 = CN- type COSym0 = CO- type CPSym0 = CP- type CQSym0 = CQ- type CRSym0 = CR- type CSSym0 = CS- type CTSym0 = CT- type CUSym0 = CU- type CVSym0 = CV- type CWSym0 = CW- type CXSym0 = CX- type CYSym0 = CY- type CZSym0 = CZ- type AttrSym2 (t :: [AChar]) (t :: U) = Attr t t- instance SuppressUnusedWarnings AttrSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) AttrSym1KindInference) GHC.Tuple.())- data AttrSym1 (l :: [AChar]) (l :: TyFun U Attribute)- = forall arg. SameKind (Apply (AttrSym1 l) arg) (AttrSym2 l arg) =>- AttrSym1KindInference- type instance Apply (AttrSym1 l) l = Attr l l- instance SuppressUnusedWarnings AttrSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) AttrSym0KindInference) GHC.Tuple.())- data AttrSym0 (l :: TyFun [AChar] (TyFun U Attribute -> Type))- = forall arg. SameKind (Apply AttrSym0 arg) (AttrSym1 arg) =>- AttrSym0KindInference- type instance Apply AttrSym0 l = AttrSym1 l- type SchSym1 (t :: [Attribute]) = Sch t- instance SuppressUnusedWarnings SchSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) SchSym0KindInference) GHC.Tuple.())- data SchSym0 (l :: TyFun [Attribute] Schema)- = forall arg. SameKind (Apply SchSym0 arg) (SchSym1 arg) =>- SchSym0KindInference- type instance Apply SchSym0 l = Sch l- type Let0123456789876543210Scrutinee_0123456789876543210Sym4 t t t t =- Let0123456789876543210Scrutinee_0123456789876543210 t t t t- instance SuppressUnusedWarnings Let0123456789876543210Scrutinee_0123456789876543210Sym3 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,)- Let0123456789876543210Scrutinee_0123456789876543210Sym3KindInference)- GHC.Tuple.())- data Let0123456789876543210Scrutinee_0123456789876543210Sym3 l l l l- = forall arg. SameKind (Apply (Let0123456789876543210Scrutinee_0123456789876543210Sym3 l l l) arg) (Let0123456789876543210Scrutinee_0123456789876543210Sym4 l l l arg) =>- Let0123456789876543210Scrutinee_0123456789876543210Sym3KindInference- type instance Apply (Let0123456789876543210Scrutinee_0123456789876543210Sym3 l l l) l = Let0123456789876543210Scrutinee_0123456789876543210 l l l l- instance SuppressUnusedWarnings Let0123456789876543210Scrutinee_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,)- Let0123456789876543210Scrutinee_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data Let0123456789876543210Scrutinee_0123456789876543210Sym2 l l l- = forall arg. SameKind (Apply (Let0123456789876543210Scrutinee_0123456789876543210Sym2 l l) arg) (Let0123456789876543210Scrutinee_0123456789876543210Sym3 l l arg) =>- Let0123456789876543210Scrutinee_0123456789876543210Sym2KindInference- type instance Apply (Let0123456789876543210Scrutinee_0123456789876543210Sym2 l l) l = Let0123456789876543210Scrutinee_0123456789876543210Sym3 l l l- instance SuppressUnusedWarnings Let0123456789876543210Scrutinee_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,)- Let0123456789876543210Scrutinee_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Let0123456789876543210Scrutinee_0123456789876543210Sym1 l l- = forall arg. SameKind (Apply (Let0123456789876543210Scrutinee_0123456789876543210Sym1 l) arg) (Let0123456789876543210Scrutinee_0123456789876543210Sym2 l arg) =>- Let0123456789876543210Scrutinee_0123456789876543210Sym1KindInference- type instance Apply (Let0123456789876543210Scrutinee_0123456789876543210Sym1 l) l = Let0123456789876543210Scrutinee_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings Let0123456789876543210Scrutinee_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,)- Let0123456789876543210Scrutinee_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Let0123456789876543210Scrutinee_0123456789876543210Sym0 l- = forall arg. SameKind (Apply Let0123456789876543210Scrutinee_0123456789876543210Sym0 arg) (Let0123456789876543210Scrutinee_0123456789876543210Sym1 arg) =>- Let0123456789876543210Scrutinee_0123456789876543210Sym0KindInference- type instance Apply Let0123456789876543210Scrutinee_0123456789876543210Sym0 l = Let0123456789876543210Scrutinee_0123456789876543210Sym1 l- type family Let0123456789876543210Scrutinee_0123456789876543210 name name' u attrs where- Let0123456789876543210Scrutinee_0123456789876543210 name name' u attrs = Apply (Apply (==@#@$) name) name'- type family Case_0123456789876543210 name name' u attrs t where- Case_0123456789876543210 name name' u attrs True = u- Case_0123456789876543210 name name' u attrs False = Apply (Apply LookupSym0 name) (Apply SchSym0 attrs)- type LookupSym2 (t :: [AChar]) (t :: Schema) = Lookup t t- instance SuppressUnusedWarnings LookupSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) LookupSym1KindInference) GHC.Tuple.())- data LookupSym1 (l :: [AChar]) (l :: TyFun Schema U)- = forall arg. SameKind (Apply (LookupSym1 l) arg) (LookupSym2 l arg) =>- LookupSym1KindInference- type instance Apply (LookupSym1 l) l = Lookup l l- instance SuppressUnusedWarnings LookupSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) LookupSym0KindInference) GHC.Tuple.())- data LookupSym0 (l :: TyFun [AChar] (TyFun Schema U -> Type))- = forall arg. SameKind (Apply LookupSym0 arg) (LookupSym1 arg) =>- LookupSym0KindInference- type instance Apply LookupSym0 l = LookupSym1 l- type OccursSym2 (t :: [AChar]) (t :: Schema) = Occurs t t- instance SuppressUnusedWarnings OccursSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) OccursSym1KindInference) GHC.Tuple.())- data OccursSym1 (l :: [AChar]) (l :: TyFun Schema Bool)- = forall arg. SameKind (Apply (OccursSym1 l) arg) (OccursSym2 l arg) =>- OccursSym1KindInference- type instance Apply (OccursSym1 l) l = Occurs l l- instance SuppressUnusedWarnings OccursSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) OccursSym0KindInference) GHC.Tuple.())- data OccursSym0 (l :: TyFun [AChar] (TyFun Schema Bool -> Type))- = forall arg. SameKind (Apply OccursSym0 arg) (OccursSym1 arg) =>- OccursSym0KindInference- type instance Apply OccursSym0 l = OccursSym1 l- type AttrNotInSym2 (t :: Attribute) (t :: Schema) = AttrNotIn t t- instance SuppressUnusedWarnings AttrNotInSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) AttrNotInSym1KindInference) GHC.Tuple.())- data AttrNotInSym1 (l :: Attribute) (l :: TyFun Schema Bool)- = forall arg. SameKind (Apply (AttrNotInSym1 l) arg) (AttrNotInSym2 l arg) =>- AttrNotInSym1KindInference- type instance Apply (AttrNotInSym1 l) l = AttrNotIn l l- instance SuppressUnusedWarnings AttrNotInSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) AttrNotInSym0KindInference) GHC.Tuple.())- data AttrNotInSym0 (l :: TyFun Attribute (TyFun Schema Bool- -> Type))- = forall arg. SameKind (Apply AttrNotInSym0 arg) (AttrNotInSym1 arg) =>- AttrNotInSym0KindInference- type instance Apply AttrNotInSym0 l = AttrNotInSym1 l- type DisjointSym2 (t :: Schema) (t :: Schema) = Disjoint t t- instance SuppressUnusedWarnings DisjointSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) DisjointSym1KindInference) GHC.Tuple.())- data DisjointSym1 (l :: Schema) (l :: TyFun Schema Bool)- = forall arg. SameKind (Apply (DisjointSym1 l) arg) (DisjointSym2 l arg) =>- DisjointSym1KindInference- type instance Apply (DisjointSym1 l) l = Disjoint l l- instance SuppressUnusedWarnings DisjointSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) DisjointSym0KindInference) GHC.Tuple.())- data DisjointSym0 (l :: TyFun Schema (TyFun Schema Bool -> Type))- = forall arg. SameKind (Apply DisjointSym0 arg) (DisjointSym1 arg) =>- DisjointSym0KindInference- type instance Apply DisjointSym0 l = DisjointSym1 l- type AppendSym2 (t :: Schema) (t :: Schema) = Append t t- instance SuppressUnusedWarnings AppendSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) AppendSym1KindInference) GHC.Tuple.())- data AppendSym1 (l :: Schema) (l :: TyFun Schema Schema)- = forall arg. SameKind (Apply (AppendSym1 l) arg) (AppendSym2 l arg) =>- AppendSym1KindInference- type instance Apply (AppendSym1 l) l = Append l l- instance SuppressUnusedWarnings AppendSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) AppendSym0KindInference) GHC.Tuple.())- data AppendSym0 (l :: TyFun Schema (TyFun Schema Schema -> Type))- = forall arg. SameKind (Apply AppendSym0 arg) (AppendSym1 arg) =>- AppendSym0KindInference- type instance Apply AppendSym0 l = AppendSym1 l- type family Lookup (a :: [AChar]) (a :: Schema) :: U where- Lookup _ (Sch '[]) = UndefinedSym0- Lookup name (Sch ((:) (Attr name' u) attrs)) = Case_0123456789876543210 name name' u attrs (Let0123456789876543210Scrutinee_0123456789876543210Sym4 name name' u attrs)- type family Occurs (a :: [AChar]) (a :: Schema) :: Bool where- Occurs _ (Sch '[]) = FalseSym0- Occurs name (Sch ((:) (Attr name' _) attrs)) = Apply (Apply (||@#@$) (Apply (Apply (==@#@$) name) name')) (Apply (Apply OccursSym0 name) (Apply SchSym0 attrs))- type family AttrNotIn (a :: Attribute) (a :: Schema) :: Bool where- AttrNotIn _ (Sch '[]) = TrueSym0- AttrNotIn (Attr name u) (Sch ((:) (Attr name' _) t)) = Apply (Apply (&&@#@$) (Apply (Apply (/=@#@$) name) name')) (Apply (Apply AttrNotInSym0 (Apply (Apply AttrSym0 name) u)) (Apply SchSym0 t))- type family Disjoint (a :: Schema) (a :: Schema) :: Bool where- Disjoint (Sch '[]) _ = TrueSym0- Disjoint (Sch ((:) h t)) s = Apply (Apply (&&@#@$) (Apply (Apply AttrNotInSym0 h) s)) (Apply (Apply DisjointSym0 (Apply SchSym0 t)) s)- type family Append (a :: Schema) (a :: Schema) :: Schema where- Append (Sch s1) (Sch s2) = Apply SchSym0 (Apply (Apply (++@#@$) s1) s2)- type family ShowsPrec_0123456789876543210 (a :: GHC.Types.Nat) (a :: U) (a :: Symbol) :: Symbol where- ShowsPrec_0123456789876543210 _ BOOL a_0123456789876543210 = Apply (Apply ShowStringSym0 "BOOL") a_0123456789876543210- ShowsPrec_0123456789876543210 _ STRING a_0123456789876543210 = Apply (Apply ShowStringSym0 "STRING") a_0123456789876543210- ShowsPrec_0123456789876543210 _ NAT a_0123456789876543210 = Apply (Apply ShowStringSym0 "NAT") a_0123456789876543210- ShowsPrec_0123456789876543210 p_0123456789876543210 (VEC arg_0123456789876543210 arg_0123456789876543210) a_0123456789876543210 = Apply (Apply (Apply ShowParenSym0 (Apply (Apply (>@#@$) p_0123456789876543210) (FromInteger 10))) (Apply (Apply (.@#@$) (Apply ShowStringSym0 "VEC ")) (Apply (Apply (.@#@$) (Apply (Apply ShowsPrecSym0 (FromInteger 11)) arg_0123456789876543210)) (Apply (Apply (.@#@$) ShowSpaceSym0) (Apply (Apply ShowsPrecSym0 (FromInteger 11)) arg_0123456789876543210))))) a_0123456789876543210- type ShowsPrec_0123456789876543210Sym3 (t :: GHC.Types.Nat) (t :: U) (t :: Symbol) =- ShowsPrec_0123456789876543210 t t t- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym2 (l :: GHC.Types.Nat) (l :: U) (l :: TyFun Symbol Symbol)- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 l l) arg) (ShowsPrec_0123456789876543210Sym3 l l arg) =>- ShowsPrec_0123456789876543210Sym2KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym2 l l) l = ShowsPrec_0123456789876543210 l l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym1 (l :: GHC.Types.Nat) (l :: TyFun U (TyFun Symbol Symbol- -> Type))- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 l) arg) (ShowsPrec_0123456789876543210Sym2 l arg) =>- ShowsPrec_0123456789876543210Sym1KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym1 l) l = ShowsPrec_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym0 (l :: TyFun GHC.Types.Nat (TyFun U (TyFun Symbol Symbol- -> Type)- -> Type))- = forall arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>- ShowsPrec_0123456789876543210Sym0KindInference- type instance Apply ShowsPrec_0123456789876543210Sym0 l = ShowsPrec_0123456789876543210Sym1 l- instance PShow U where- type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a- type family ShowsPrec_0123456789876543210 (a :: GHC.Types.Nat) (a :: AChar) (a :: Symbol) :: Symbol where- ShowsPrec_0123456789876543210 _ CA a_0123456789876543210 = Apply (Apply ShowStringSym0 "CA") a_0123456789876543210- ShowsPrec_0123456789876543210 _ CB a_0123456789876543210 = Apply (Apply ShowStringSym0 "CB") a_0123456789876543210- ShowsPrec_0123456789876543210 _ CC a_0123456789876543210 = Apply (Apply ShowStringSym0 "CC") a_0123456789876543210- ShowsPrec_0123456789876543210 _ CD a_0123456789876543210 = Apply (Apply ShowStringSym0 "CD") a_0123456789876543210- ShowsPrec_0123456789876543210 _ CE a_0123456789876543210 = Apply (Apply ShowStringSym0 "CE") a_0123456789876543210- ShowsPrec_0123456789876543210 _ CF a_0123456789876543210 = Apply (Apply ShowStringSym0 "CF") a_0123456789876543210- ShowsPrec_0123456789876543210 _ CG a_0123456789876543210 = Apply (Apply ShowStringSym0 "CG") a_0123456789876543210- ShowsPrec_0123456789876543210 _ CH a_0123456789876543210 = Apply (Apply ShowStringSym0 "CH") a_0123456789876543210- ShowsPrec_0123456789876543210 _ CI a_0123456789876543210 = Apply (Apply ShowStringSym0 "CI") a_0123456789876543210- ShowsPrec_0123456789876543210 _ CJ a_0123456789876543210 = Apply (Apply ShowStringSym0 "CJ") a_0123456789876543210- ShowsPrec_0123456789876543210 _ CK a_0123456789876543210 = Apply (Apply ShowStringSym0 "CK") a_0123456789876543210- ShowsPrec_0123456789876543210 _ CL a_0123456789876543210 = Apply (Apply ShowStringSym0 "CL") a_0123456789876543210- ShowsPrec_0123456789876543210 _ CM a_0123456789876543210 = Apply (Apply ShowStringSym0 "CM") a_0123456789876543210- ShowsPrec_0123456789876543210 _ CN a_0123456789876543210 = Apply (Apply ShowStringSym0 "CN") a_0123456789876543210- ShowsPrec_0123456789876543210 _ CO a_0123456789876543210 = Apply (Apply ShowStringSym0 "CO") a_0123456789876543210- ShowsPrec_0123456789876543210 _ CP a_0123456789876543210 = Apply (Apply ShowStringSym0 "CP") a_0123456789876543210- ShowsPrec_0123456789876543210 _ CQ a_0123456789876543210 = Apply (Apply ShowStringSym0 "CQ") a_0123456789876543210- ShowsPrec_0123456789876543210 _ CR a_0123456789876543210 = Apply (Apply ShowStringSym0 "CR") a_0123456789876543210- ShowsPrec_0123456789876543210 _ CS a_0123456789876543210 = Apply (Apply ShowStringSym0 "CS") a_0123456789876543210- ShowsPrec_0123456789876543210 _ CT a_0123456789876543210 = Apply (Apply ShowStringSym0 "CT") a_0123456789876543210- ShowsPrec_0123456789876543210 _ CU a_0123456789876543210 = Apply (Apply ShowStringSym0 "CU") a_0123456789876543210- ShowsPrec_0123456789876543210 _ CV a_0123456789876543210 = Apply (Apply ShowStringSym0 "CV") a_0123456789876543210- ShowsPrec_0123456789876543210 _ CW a_0123456789876543210 = Apply (Apply ShowStringSym0 "CW") a_0123456789876543210- ShowsPrec_0123456789876543210 _ CX a_0123456789876543210 = Apply (Apply ShowStringSym0 "CX") a_0123456789876543210- ShowsPrec_0123456789876543210 _ CY a_0123456789876543210 = Apply (Apply ShowStringSym0 "CY") a_0123456789876543210- ShowsPrec_0123456789876543210 _ CZ a_0123456789876543210 = Apply (Apply ShowStringSym0 "CZ") a_0123456789876543210- type ShowsPrec_0123456789876543210Sym3 (t :: GHC.Types.Nat) (t :: AChar) (t :: Symbol) =- ShowsPrec_0123456789876543210 t t t- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym2 (l :: GHC.Types.Nat) (l :: AChar) (l :: TyFun Symbol Symbol)- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 l l) arg) (ShowsPrec_0123456789876543210Sym3 l l arg) =>- ShowsPrec_0123456789876543210Sym2KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym2 l l) l = ShowsPrec_0123456789876543210 l l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym1 (l :: GHC.Types.Nat) (l :: TyFun AChar (TyFun Symbol Symbol- -> Type))- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 l) arg) (ShowsPrec_0123456789876543210Sym2 l arg) =>- ShowsPrec_0123456789876543210Sym1KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym1 l) l = ShowsPrec_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym0 (l :: TyFun GHC.Types.Nat (TyFun AChar (TyFun Symbol Symbol- -> Type)- -> Type))- = forall arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>- ShowsPrec_0123456789876543210Sym0KindInference- type instance Apply ShowsPrec_0123456789876543210Sym0 l = ShowsPrec_0123456789876543210Sym1 l- instance PShow AChar where- type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a- type family Equals_0123456789876543210 (a :: U) (b :: U) :: Bool where- Equals_0123456789876543210 BOOL BOOL = TrueSym0- Equals_0123456789876543210 STRING STRING = TrueSym0- Equals_0123456789876543210 NAT NAT = TrueSym0- Equals_0123456789876543210 (VEC a a) (VEC b b) = (&&) ((==) a b) ((==) a b)- Equals_0123456789876543210 (_ :: U) (_ :: U) = FalseSym0- instance PEq U where- type (==) a b = Equals_0123456789876543210 a b- type family Equals_0123456789876543210 (a :: AChar) (b :: AChar) :: Bool where- Equals_0123456789876543210 CA CA = TrueSym0- Equals_0123456789876543210 CB CB = TrueSym0- Equals_0123456789876543210 CC CC = TrueSym0- Equals_0123456789876543210 CD CD = TrueSym0- Equals_0123456789876543210 CE CE = TrueSym0- Equals_0123456789876543210 CF CF = TrueSym0- Equals_0123456789876543210 CG CG = TrueSym0- Equals_0123456789876543210 CH CH = TrueSym0- Equals_0123456789876543210 CI CI = TrueSym0- Equals_0123456789876543210 CJ CJ = TrueSym0- Equals_0123456789876543210 CK CK = TrueSym0- Equals_0123456789876543210 CL CL = TrueSym0- Equals_0123456789876543210 CM CM = TrueSym0- Equals_0123456789876543210 CN CN = TrueSym0- Equals_0123456789876543210 CO CO = TrueSym0- Equals_0123456789876543210 CP CP = TrueSym0- Equals_0123456789876543210 CQ CQ = TrueSym0- Equals_0123456789876543210 CR CR = TrueSym0- Equals_0123456789876543210 CS CS = TrueSym0- Equals_0123456789876543210 CT CT = TrueSym0- Equals_0123456789876543210 CU CU = TrueSym0- Equals_0123456789876543210 CV CV = TrueSym0- Equals_0123456789876543210 CW CW = TrueSym0- Equals_0123456789876543210 CX CX = TrueSym0- Equals_0123456789876543210 CY CY = TrueSym0- Equals_0123456789876543210 CZ CZ = TrueSym0- Equals_0123456789876543210 (_ :: AChar) (_ :: AChar) = FalseSym0- instance PEq AChar where- type (==) a b = Equals_0123456789876543210 a b- sLookup ::- forall (t :: [AChar]) (t :: Schema).- Sing t -> Sing t -> Sing (Apply (Apply LookupSym0 t) t :: U)- sOccurs ::- forall (t :: [AChar]) (t :: Schema).- Sing t -> Sing t -> Sing (Apply (Apply OccursSym0 t) t :: Bool)- sAttrNotIn ::- forall (t :: Attribute) (t :: Schema).- Sing t -> Sing t -> Sing (Apply (Apply AttrNotInSym0 t) t :: Bool)- sDisjoint ::- forall (t :: Schema) (t :: Schema).- Sing t -> Sing t -> Sing (Apply (Apply DisjointSym0 t) t :: Bool)- sAppend ::- forall (t :: Schema) (t :: Schema).- Sing t -> Sing t -> Sing (Apply (Apply AppendSym0 t) t :: Schema)- sLookup _ (SSch SNil) = sUndefined- sLookup- (sName :: Sing name)- (SSch (SCons (SAttr (sName' :: Sing name') (sU :: Sing u))- (sAttrs :: Sing attrs)))- = let- sScrutinee_0123456789876543210 ::- Sing (Let0123456789876543210Scrutinee_0123456789876543210Sym4 name name' u attrs)- sScrutinee_0123456789876543210- = (applySing ((applySing ((singFun2 @(==@#@$)) (%==))) sName))- sName'- in case sScrutinee_0123456789876543210 of- STrue -> sU- SFalse- -> (applySing ((applySing ((singFun2 @LookupSym0) sLookup)) sName))- ((applySing ((singFun1 @SchSym0) SSch)) sAttrs) ::- Sing (Case_0123456789876543210 name name' u attrs (Let0123456789876543210Scrutinee_0123456789876543210Sym4 name name' u attrs) :: U)- sOccurs _ (SSch SNil) = SFalse- sOccurs- (sName :: Sing name)- (SSch (SCons (SAttr (sName' :: Sing name') _)- (sAttrs :: Sing attrs)))- = (applySing- ((applySing ((singFun2 @(||@#@$)) (%||)))- ((applySing ((applySing ((singFun2 @(==@#@$)) (%==))) sName))- sName')))- ((applySing ((applySing ((singFun2 @OccursSym0) sOccurs)) sName))- ((applySing ((singFun1 @SchSym0) SSch)) sAttrs))- sAttrNotIn _ (SSch SNil) = STrue- sAttrNotIn- (SAttr (sName :: Sing name) (sU :: Sing u))- (SSch (SCons (SAttr (sName' :: Sing name') _) (sT :: Sing t)))- = (applySing- ((applySing ((singFun2 @(&&@#@$)) (%&&)))- ((applySing ((applySing ((singFun2 @(/=@#@$)) (%/=))) sName))- sName')))- ((applySing- ((applySing ((singFun2 @AttrNotInSym0) sAttrNotIn))- ((applySing ((applySing ((singFun2 @AttrSym0) SAttr)) sName)) sU)))- ((applySing ((singFun1 @SchSym0) SSch)) sT))- sDisjoint (SSch SNil) _ = STrue- sDisjoint- (SSch (SCons (sH :: Sing h) (sT :: Sing t)))- (sS :: Sing s)- = (applySing- ((applySing ((singFun2 @(&&@#@$)) (%&&)))- ((applySing- ((applySing ((singFun2 @AttrNotInSym0) sAttrNotIn)) sH))- sS)))- ((applySing- ((applySing ((singFun2 @DisjointSym0) sDisjoint))- ((applySing ((singFun1 @SchSym0) SSch)) sT)))- sS)- sAppend (SSch (sS1 :: Sing s1)) (SSch (sS2 :: Sing s2))- = (applySing ((singFun1 @SchSym0) SSch))- ((applySing ((applySing ((singFun2 @(++@#@$)) (%++))) sS1)) sS2)- data instance Sing (z :: U)- where- SBOOL :: Sing BOOL- SSTRING :: Sing STRING- SNAT :: Sing NAT- SVEC :: forall (n :: U) (n :: Nat).- (Sing (n :: U)) -> (Sing (n :: Nat)) -> Sing (VEC n n)- type SU = (Sing :: U -> Type)- instance SingKind U where- type Demote U = U- fromSing SBOOL = BOOL- fromSing SSTRING = STRING- fromSing SNAT = NAT- fromSing (SVEC b b) = (VEC (fromSing b)) (fromSing b)- toSing BOOL = SomeSing SBOOL- toSing STRING = SomeSing SSTRING- toSing NAT = SomeSing SNAT- toSing (VEC (b :: Demote U) (b :: Demote Nat))- = case- (GHC.Tuple.(,) (toSing b :: SomeSing U)) (toSing b :: SomeSing Nat)- of {- GHC.Tuple.(,) (SomeSing c) (SomeSing c) -> SomeSing ((SVEC c) c) }- data instance Sing (z :: AChar)- where- SCA :: Sing CA- SCB :: Sing CB- SCC :: Sing CC- SCD :: Sing CD- SCE :: Sing CE- SCF :: Sing CF- SCG :: Sing CG- SCH :: Sing CH- SCI :: Sing CI- SCJ :: Sing CJ- SCK :: Sing CK- SCL :: Sing CL- SCM :: Sing CM- SCN :: Sing CN- SCO :: Sing CO- SCP :: Sing CP- SCQ :: Sing CQ- SCR :: Sing CR- SCS :: Sing CS- SCT :: Sing CT- SCU :: Sing CU- SCV :: Sing CV- SCW :: Sing CW- SCX :: Sing CX- SCY :: Sing CY- SCZ :: Sing CZ- type SAChar = (Sing :: AChar -> Type)- instance SingKind AChar where- type Demote AChar = AChar- fromSing SCA = CA- fromSing SCB = CB- fromSing SCC = CC- fromSing SCD = CD- fromSing SCE = CE- fromSing SCF = CF- fromSing SCG = CG- fromSing SCH = CH- fromSing SCI = CI- fromSing SCJ = CJ- fromSing SCK = CK- fromSing SCL = CL- fromSing SCM = CM- fromSing SCN = CN- fromSing SCO = CO- fromSing SCP = CP- fromSing SCQ = CQ- fromSing SCR = CR- fromSing SCS = CS- fromSing SCT = CT- fromSing SCU = CU- fromSing SCV = CV- fromSing SCW = CW- fromSing SCX = CX- fromSing SCY = CY- fromSing SCZ = CZ- toSing CA = SomeSing SCA- toSing CB = SomeSing SCB- toSing CC = SomeSing SCC- toSing CD = SomeSing SCD- toSing CE = SomeSing SCE- toSing CF = SomeSing SCF- toSing CG = SomeSing SCG- toSing CH = SomeSing SCH- toSing CI = SomeSing SCI- toSing CJ = SomeSing SCJ- toSing CK = SomeSing SCK- toSing CL = SomeSing SCL- toSing CM = SomeSing SCM- toSing CN = SomeSing SCN- toSing CO = SomeSing SCO- toSing CP = SomeSing SCP- toSing CQ = SomeSing SCQ- toSing CR = SomeSing SCR- toSing CS = SomeSing SCS- toSing CT = SomeSing SCT- toSing CU = SomeSing SCU- toSing CV = SomeSing SCV- toSing CW = SomeSing SCW- toSing CX = SomeSing SCX- toSing CY = SomeSing SCY- toSing CZ = SomeSing SCZ- data instance Sing (z :: Attribute)- where- SAttr :: forall (n :: [AChar]) (n :: U).- (Sing (n :: [AChar])) -> (Sing (n :: U)) -> Sing (Attr n n)- type SAttribute = (Sing :: Attribute -> Type)- instance SingKind Attribute where- type Demote Attribute = Attribute- fromSing (SAttr b b) = (Attr (fromSing b)) (fromSing b)- toSing (Attr (b :: Demote [AChar]) (b :: Demote U))- = case- (GHC.Tuple.(,) (toSing b :: SomeSing [AChar]))- (toSing b :: SomeSing U)- of {- GHC.Tuple.(,) (SomeSing c) (SomeSing c) -> SomeSing ((SAttr c) c) }- data instance Sing (z :: Schema)- where- SSch :: forall (n :: [Attribute]).- (Sing (n :: [Attribute])) -> Sing (Sch n)- type SSchema = (Sing :: Schema -> Type)- instance SingKind Schema where- type Demote Schema = Schema- fromSing (SSch b) = Sch (fromSing b)- toSing (Sch (b :: Demote [Attribute]))- = case toSing b :: SomeSing [Attribute] of {- SomeSing c -> SomeSing (SSch c) }- instance (SShow U, SShow Nat) => SShow U where- sShowsPrec ::- forall (t1 :: GHC.Types.Nat) (t2 :: U) (t3 :: Symbol).- Sing t1- -> Sing t2- -> Sing t3- -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun GHC.Types.Nat (TyFun U (TyFun Symbol Symbol- -> Type)- -> Type)- -> Type) t1) t2) t3)- sShowsPrec- _- SBOOL- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "BOOL")))- sA_0123456789876543210- sShowsPrec- _- SSTRING- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "STRING")))- sA_0123456789876543210- sShowsPrec- _- SNAT- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "NAT")))- sA_0123456789876543210- sShowsPrec- (sP_0123456789876543210 :: Sing p_0123456789876543210)- (SVEC (sArg_0123456789876543210 :: Sing arg_0123456789876543210)- (sArg_0123456789876543210 :: Sing arg_0123456789876543210))- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing- ((applySing ((singFun3 @ShowParenSym0) sShowParen))- ((applySing- ((applySing ((singFun2 @(>@#@$)) (%>))) sP_0123456789876543210))- (sFromInteger (sing :: Sing 10)))))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "VEC "))))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((applySing- ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))- (sFromInteger (sing :: Sing 11))))- sArg_0123456789876543210)))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((singFun1 @ShowSpaceSym0) sShowSpace)))- ((applySing- ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))- (sFromInteger (sing :: Sing 11))))- sArg_0123456789876543210))))))- sA_0123456789876543210- instance SShow AChar where- sShowsPrec ::- forall (t1 :: GHC.Types.Nat) (t2 :: AChar) (t3 :: Symbol).- Sing t1- -> Sing t2- -> Sing t3- -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun GHC.Types.Nat (TyFun AChar (TyFun Symbol Symbol- -> Type)- -> Type)- -> Type) t1) t2) t3)- sShowsPrec- _- SCA- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "CA")))- sA_0123456789876543210- sShowsPrec- _- SCB- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "CB")))- sA_0123456789876543210- sShowsPrec- _- SCC- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "CC")))- sA_0123456789876543210- sShowsPrec- _- SCD- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "CD")))- sA_0123456789876543210- sShowsPrec- _- SCE- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "CE")))- sA_0123456789876543210- sShowsPrec- _- SCF- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "CF")))- sA_0123456789876543210- sShowsPrec- _- SCG- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "CG")))- sA_0123456789876543210- sShowsPrec- _- SCH- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "CH")))- sA_0123456789876543210- sShowsPrec- _- SCI- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "CI")))- sA_0123456789876543210- sShowsPrec- _- SCJ- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "CJ")))- sA_0123456789876543210- sShowsPrec- _- SCK- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "CK")))- sA_0123456789876543210- sShowsPrec- _- SCL- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "CL")))- sA_0123456789876543210- sShowsPrec- _- SCM- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "CM")))- sA_0123456789876543210- sShowsPrec- _- SCN- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "CN")))- sA_0123456789876543210- sShowsPrec- _- SCO- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "CO")))- sA_0123456789876543210- sShowsPrec- _- SCP- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "CP")))- sA_0123456789876543210- sShowsPrec- _- SCQ- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "CQ")))- sA_0123456789876543210- sShowsPrec- _- SCR- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "CR")))- sA_0123456789876543210- sShowsPrec- _- SCS- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "CS")))- sA_0123456789876543210- sShowsPrec- _- SCT- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "CT")))- sA_0123456789876543210- sShowsPrec- _- SCU- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "CU")))- sA_0123456789876543210- sShowsPrec- _- SCV- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "CV")))- sA_0123456789876543210- sShowsPrec- _- SCW- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "CW")))- sA_0123456789876543210- sShowsPrec- _- SCX- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "CX")))- sA_0123456789876543210- sShowsPrec- _- SCY- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "CY")))- sA_0123456789876543210- sShowsPrec- _- SCZ- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "CZ")))- sA_0123456789876543210- instance (SEq U, SEq Nat) => SEq U where- (%==) SBOOL SBOOL = STrue- (%==) SBOOL SSTRING = SFalse- (%==) SBOOL SNAT = SFalse- (%==) SBOOL (SVEC _ _) = SFalse- (%==) SSTRING SBOOL = SFalse- (%==) SSTRING SSTRING = STrue- (%==) SSTRING SNAT = SFalse- (%==) SSTRING (SVEC _ _) = SFalse- (%==) SNAT SBOOL = SFalse- (%==) SNAT SSTRING = SFalse- (%==) SNAT SNAT = STrue- (%==) SNAT (SVEC _ _) = SFalse- (%==) (SVEC _ _) SBOOL = SFalse- (%==) (SVEC _ _) SSTRING = SFalse- (%==) (SVEC _ _) SNAT = SFalse- (%==) (SVEC a a) (SVEC b b) = ((%&&) (((%==) a) b)) (((%==) a) b)- instance (SDecide U, SDecide Nat) => SDecide U where- (%~) SBOOL SBOOL = Proved Refl- (%~) SBOOL SSTRING = Disproved (\ x -> case x of)- (%~) SBOOL SNAT = Disproved (\ x -> case x of)- (%~) SBOOL (SVEC _ _) = Disproved (\ x -> case x of)- (%~) SSTRING SBOOL = Disproved (\ x -> case x of)- (%~) SSTRING SSTRING = Proved Refl- (%~) SSTRING SNAT = Disproved (\ x -> case x of)- (%~) SSTRING (SVEC _ _) = Disproved (\ x -> case x of)- (%~) SNAT SBOOL = Disproved (\ x -> case x of)- (%~) SNAT SSTRING = Disproved (\ x -> case x of)- (%~) SNAT SNAT = Proved Refl- (%~) SNAT (SVEC _ _) = Disproved (\ x -> case x of)- (%~) (SVEC _ _) SBOOL = Disproved (\ x -> case x of)- (%~) (SVEC _ _) SSTRING = Disproved (\ x -> case x of)- (%~) (SVEC _ _) SNAT = Disproved (\ x -> case x of)- (%~) (SVEC a a) (SVEC b b)- = case (GHC.Tuple.(,) (((%~) a) b)) (((%~) a) b) of- GHC.Tuple.(,) (Proved Refl) (Proved Refl) -> Proved Refl- GHC.Tuple.(,) (Disproved contra) _- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- GHC.Tuple.(,) _ (Disproved contra)- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- instance SEq AChar where- (%==) SCA SCA = STrue- (%==) SCA SCB = SFalse- (%==) SCA SCC = SFalse- (%==) SCA SCD = SFalse- (%==) SCA SCE = SFalse- (%==) SCA SCF = SFalse- (%==) SCA SCG = SFalse- (%==) SCA SCH = SFalse- (%==) SCA SCI = SFalse- (%==) SCA SCJ = SFalse- (%==) SCA SCK = SFalse- (%==) SCA SCL = SFalse- (%==) SCA SCM = SFalse- (%==) SCA SCN = SFalse- (%==) SCA SCO = SFalse- (%==) SCA SCP = SFalse- (%==) SCA SCQ = SFalse- (%==) SCA SCR = SFalse- (%==) SCA SCS = SFalse- (%==) SCA SCT = SFalse- (%==) SCA SCU = SFalse- (%==) SCA SCV = SFalse- (%==) SCA SCW = SFalse- (%==) SCA SCX = SFalse- (%==) SCA SCY = SFalse- (%==) SCA SCZ = SFalse- (%==) SCB SCA = SFalse- (%==) SCB SCB = STrue- (%==) SCB SCC = SFalse- (%==) SCB SCD = SFalse- (%==) SCB SCE = SFalse- (%==) SCB SCF = SFalse- (%==) SCB SCG = SFalse- (%==) SCB SCH = SFalse- (%==) SCB SCI = SFalse- (%==) SCB SCJ = SFalse- (%==) SCB SCK = SFalse- (%==) SCB SCL = SFalse- (%==) SCB SCM = SFalse- (%==) SCB SCN = SFalse- (%==) SCB SCO = SFalse- (%==) SCB SCP = SFalse- (%==) SCB SCQ = SFalse- (%==) SCB SCR = SFalse- (%==) SCB SCS = SFalse- (%==) SCB SCT = SFalse- (%==) SCB SCU = SFalse- (%==) SCB SCV = SFalse- (%==) SCB SCW = SFalse- (%==) SCB SCX = SFalse- (%==) SCB SCY = SFalse- (%==) SCB SCZ = SFalse- (%==) SCC SCA = SFalse- (%==) SCC SCB = SFalse- (%==) SCC SCC = STrue- (%==) SCC SCD = SFalse- (%==) SCC SCE = SFalse- (%==) SCC SCF = SFalse- (%==) SCC SCG = SFalse- (%==) SCC SCH = SFalse- (%==) SCC SCI = SFalse- (%==) SCC SCJ = SFalse- (%==) SCC SCK = SFalse- (%==) SCC SCL = SFalse- (%==) SCC SCM = SFalse- (%==) SCC SCN = SFalse- (%==) SCC SCO = SFalse- (%==) SCC SCP = SFalse- (%==) SCC SCQ = SFalse- (%==) SCC SCR = SFalse- (%==) SCC SCS = SFalse- (%==) SCC SCT = SFalse- (%==) SCC SCU = SFalse- (%==) SCC SCV = SFalse- (%==) SCC SCW = SFalse- (%==) SCC SCX = SFalse- (%==) SCC SCY = SFalse- (%==) SCC SCZ = SFalse- (%==) SCD SCA = SFalse- (%==) SCD SCB = SFalse- (%==) SCD SCC = SFalse- (%==) SCD SCD = STrue- (%==) SCD SCE = SFalse- (%==) SCD SCF = SFalse- (%==) SCD SCG = SFalse- (%==) SCD SCH = SFalse- (%==) SCD SCI = SFalse- (%==) SCD SCJ = SFalse- (%==) SCD SCK = SFalse- (%==) SCD SCL = SFalse- (%==) SCD SCM = SFalse- (%==) SCD SCN = SFalse- (%==) SCD SCO = SFalse- (%==) SCD SCP = SFalse- (%==) SCD SCQ = SFalse- (%==) SCD SCR = SFalse- (%==) SCD SCS = SFalse- (%==) SCD SCT = SFalse- (%==) SCD SCU = SFalse- (%==) SCD SCV = SFalse- (%==) SCD SCW = SFalse- (%==) SCD SCX = SFalse- (%==) SCD SCY = SFalse- (%==) SCD SCZ = SFalse- (%==) SCE SCA = SFalse- (%==) SCE SCB = SFalse- (%==) SCE SCC = SFalse- (%==) SCE SCD = SFalse- (%==) SCE SCE = STrue- (%==) SCE SCF = SFalse- (%==) SCE SCG = SFalse- (%==) SCE SCH = SFalse- (%==) SCE SCI = SFalse- (%==) SCE SCJ = SFalse- (%==) SCE SCK = SFalse- (%==) SCE SCL = SFalse- (%==) SCE SCM = SFalse- (%==) SCE SCN = SFalse- (%==) SCE SCO = SFalse- (%==) SCE SCP = SFalse- (%==) SCE SCQ = SFalse- (%==) SCE SCR = SFalse- (%==) SCE SCS = SFalse- (%==) SCE SCT = SFalse- (%==) SCE SCU = SFalse- (%==) SCE SCV = SFalse- (%==) SCE SCW = SFalse- (%==) SCE SCX = SFalse- (%==) SCE SCY = SFalse- (%==) SCE SCZ = SFalse- (%==) SCF SCA = SFalse- (%==) SCF SCB = SFalse- (%==) SCF SCC = SFalse- (%==) SCF SCD = SFalse- (%==) SCF SCE = SFalse- (%==) SCF SCF = STrue- (%==) SCF SCG = SFalse- (%==) SCF SCH = SFalse- (%==) SCF SCI = SFalse- (%==) SCF SCJ = SFalse- (%==) SCF SCK = SFalse- (%==) SCF SCL = SFalse- (%==) SCF SCM = SFalse- (%==) SCF SCN = SFalse- (%==) SCF SCO = SFalse- (%==) SCF SCP = SFalse- (%==) SCF SCQ = SFalse- (%==) SCF SCR = SFalse- (%==) SCF SCS = SFalse- (%==) SCF SCT = SFalse- (%==) SCF SCU = SFalse- (%==) SCF SCV = SFalse- (%==) SCF SCW = SFalse- (%==) SCF SCX = SFalse- (%==) SCF SCY = SFalse- (%==) SCF SCZ = SFalse- (%==) SCG SCA = SFalse- (%==) SCG SCB = SFalse- (%==) SCG SCC = SFalse- (%==) SCG SCD = SFalse- (%==) SCG SCE = SFalse- (%==) SCG SCF = SFalse- (%==) SCG SCG = STrue- (%==) SCG SCH = SFalse- (%==) SCG SCI = SFalse- (%==) SCG SCJ = SFalse- (%==) SCG SCK = SFalse- (%==) SCG SCL = SFalse- (%==) SCG SCM = SFalse- (%==) SCG SCN = SFalse- (%==) SCG SCO = SFalse- (%==) SCG SCP = SFalse- (%==) SCG SCQ = SFalse- (%==) SCG SCR = SFalse- (%==) SCG SCS = SFalse- (%==) SCG SCT = SFalse- (%==) SCG SCU = SFalse- (%==) SCG SCV = SFalse- (%==) SCG SCW = SFalse- (%==) SCG SCX = SFalse- (%==) SCG SCY = SFalse- (%==) SCG SCZ = SFalse- (%==) SCH SCA = SFalse- (%==) SCH SCB = SFalse- (%==) SCH SCC = SFalse- (%==) SCH SCD = SFalse- (%==) SCH SCE = SFalse- (%==) SCH SCF = SFalse- (%==) SCH SCG = SFalse- (%==) SCH SCH = STrue- (%==) SCH SCI = SFalse- (%==) SCH SCJ = SFalse- (%==) SCH SCK = SFalse- (%==) SCH SCL = SFalse- (%==) SCH SCM = SFalse- (%==) SCH SCN = SFalse- (%==) SCH SCO = SFalse- (%==) SCH SCP = SFalse- (%==) SCH SCQ = SFalse- (%==) SCH SCR = SFalse- (%==) SCH SCS = SFalse- (%==) SCH SCT = SFalse- (%==) SCH SCU = SFalse- (%==) SCH SCV = SFalse- (%==) SCH SCW = SFalse- (%==) SCH SCX = SFalse- (%==) SCH SCY = SFalse- (%==) SCH SCZ = SFalse- (%==) SCI SCA = SFalse- (%==) SCI SCB = SFalse- (%==) SCI SCC = SFalse- (%==) SCI SCD = SFalse- (%==) SCI SCE = SFalse- (%==) SCI SCF = SFalse- (%==) SCI SCG = SFalse- (%==) SCI SCH = SFalse- (%==) SCI SCI = STrue- (%==) SCI SCJ = SFalse- (%==) SCI SCK = SFalse- (%==) SCI SCL = SFalse- (%==) SCI SCM = SFalse- (%==) SCI SCN = SFalse- (%==) SCI SCO = SFalse- (%==) SCI SCP = SFalse- (%==) SCI SCQ = SFalse- (%==) SCI SCR = SFalse- (%==) SCI SCS = SFalse- (%==) SCI SCT = SFalse- (%==) SCI SCU = SFalse- (%==) SCI SCV = SFalse- (%==) SCI SCW = SFalse- (%==) SCI SCX = SFalse- (%==) SCI SCY = SFalse- (%==) SCI SCZ = SFalse- (%==) SCJ SCA = SFalse- (%==) SCJ SCB = SFalse- (%==) SCJ SCC = SFalse- (%==) SCJ SCD = SFalse- (%==) SCJ SCE = SFalse- (%==) SCJ SCF = SFalse- (%==) SCJ SCG = SFalse- (%==) SCJ SCH = SFalse- (%==) SCJ SCI = SFalse- (%==) SCJ SCJ = STrue- (%==) SCJ SCK = SFalse- (%==) SCJ SCL = SFalse- (%==) SCJ SCM = SFalse- (%==) SCJ SCN = SFalse- (%==) SCJ SCO = SFalse- (%==) SCJ SCP = SFalse- (%==) SCJ SCQ = SFalse- (%==) SCJ SCR = SFalse- (%==) SCJ SCS = SFalse- (%==) SCJ SCT = SFalse- (%==) SCJ SCU = SFalse- (%==) SCJ SCV = SFalse- (%==) SCJ SCW = SFalse- (%==) SCJ SCX = SFalse- (%==) SCJ SCY = SFalse- (%==) SCJ SCZ = SFalse- (%==) SCK SCA = SFalse- (%==) SCK SCB = SFalse- (%==) SCK SCC = SFalse- (%==) SCK SCD = SFalse- (%==) SCK SCE = SFalse- (%==) SCK SCF = SFalse- (%==) SCK SCG = SFalse- (%==) SCK SCH = SFalse- (%==) SCK SCI = SFalse- (%==) SCK SCJ = SFalse- (%==) SCK SCK = STrue- (%==) SCK SCL = SFalse- (%==) SCK SCM = SFalse- (%==) SCK SCN = SFalse- (%==) SCK SCO = SFalse- (%==) SCK SCP = SFalse- (%==) SCK SCQ = SFalse- (%==) SCK SCR = SFalse- (%==) SCK SCS = SFalse- (%==) SCK SCT = SFalse- (%==) SCK SCU = SFalse- (%==) SCK SCV = SFalse- (%==) SCK SCW = SFalse- (%==) SCK SCX = SFalse- (%==) SCK SCY = SFalse- (%==) SCK SCZ = SFalse- (%==) SCL SCA = SFalse- (%==) SCL SCB = SFalse- (%==) SCL SCC = SFalse- (%==) SCL SCD = SFalse- (%==) SCL SCE = SFalse- (%==) SCL SCF = SFalse- (%==) SCL SCG = SFalse- (%==) SCL SCH = SFalse- (%==) SCL SCI = SFalse- (%==) SCL SCJ = SFalse- (%==) SCL SCK = SFalse- (%==) SCL SCL = STrue- (%==) SCL SCM = SFalse- (%==) SCL SCN = SFalse- (%==) SCL SCO = SFalse- (%==) SCL SCP = SFalse- (%==) SCL SCQ = SFalse- (%==) SCL SCR = SFalse- (%==) SCL SCS = SFalse- (%==) SCL SCT = SFalse- (%==) SCL SCU = SFalse- (%==) SCL SCV = SFalse- (%==) SCL SCW = SFalse- (%==) SCL SCX = SFalse- (%==) SCL SCY = SFalse- (%==) SCL SCZ = SFalse- (%==) SCM SCA = SFalse- (%==) SCM SCB = SFalse- (%==) SCM SCC = SFalse- (%==) SCM SCD = SFalse- (%==) SCM SCE = SFalse- (%==) SCM SCF = SFalse- (%==) SCM SCG = SFalse- (%==) SCM SCH = SFalse- (%==) SCM SCI = SFalse- (%==) SCM SCJ = SFalse- (%==) SCM SCK = SFalse- (%==) SCM SCL = SFalse- (%==) SCM SCM = STrue- (%==) SCM SCN = SFalse- (%==) SCM SCO = SFalse- (%==) SCM SCP = SFalse- (%==) SCM SCQ = SFalse- (%==) SCM SCR = SFalse- (%==) SCM SCS = SFalse- (%==) SCM SCT = SFalse- (%==) SCM SCU = SFalse- (%==) SCM SCV = SFalse- (%==) SCM SCW = SFalse- (%==) SCM SCX = SFalse- (%==) SCM SCY = SFalse- (%==) SCM SCZ = SFalse- (%==) SCN SCA = SFalse- (%==) SCN SCB = SFalse- (%==) SCN SCC = SFalse- (%==) SCN SCD = SFalse- (%==) SCN SCE = SFalse- (%==) SCN SCF = SFalse- (%==) SCN SCG = SFalse- (%==) SCN SCH = SFalse- (%==) SCN SCI = SFalse- (%==) SCN SCJ = SFalse- (%==) SCN SCK = SFalse- (%==) SCN SCL = SFalse- (%==) SCN SCM = SFalse- (%==) SCN SCN = STrue- (%==) SCN SCO = SFalse- (%==) SCN SCP = SFalse- (%==) SCN SCQ = SFalse- (%==) SCN SCR = SFalse- (%==) SCN SCS = SFalse- (%==) SCN SCT = SFalse- (%==) SCN SCU = SFalse- (%==) SCN SCV = SFalse- (%==) SCN SCW = SFalse- (%==) SCN SCX = SFalse- (%==) SCN SCY = SFalse- (%==) SCN SCZ = SFalse- (%==) SCO SCA = SFalse- (%==) SCO SCB = SFalse- (%==) SCO SCC = SFalse- (%==) SCO SCD = SFalse- (%==) SCO SCE = SFalse- (%==) SCO SCF = SFalse- (%==) SCO SCG = SFalse- (%==) SCO SCH = SFalse- (%==) SCO SCI = SFalse- (%==) SCO SCJ = SFalse- (%==) SCO SCK = SFalse- (%==) SCO SCL = SFalse- (%==) SCO SCM = SFalse- (%==) SCO SCN = SFalse- (%==) SCO SCO = STrue- (%==) SCO SCP = SFalse- (%==) SCO SCQ = SFalse- (%==) SCO SCR = SFalse- (%==) SCO SCS = SFalse- (%==) SCO SCT = SFalse- (%==) SCO SCU = SFalse- (%==) SCO SCV = SFalse- (%==) SCO SCW = SFalse- (%==) SCO SCX = SFalse- (%==) SCO SCY = SFalse- (%==) SCO SCZ = SFalse- (%==) SCP SCA = SFalse- (%==) SCP SCB = SFalse- (%==) SCP SCC = SFalse- (%==) SCP SCD = SFalse- (%==) SCP SCE = SFalse- (%==) SCP SCF = SFalse- (%==) SCP SCG = SFalse- (%==) SCP SCH = SFalse- (%==) SCP SCI = SFalse- (%==) SCP SCJ = SFalse- (%==) SCP SCK = SFalse- (%==) SCP SCL = SFalse- (%==) SCP SCM = SFalse- (%==) SCP SCN = SFalse- (%==) SCP SCO = SFalse- (%==) SCP SCP = STrue- (%==) SCP SCQ = SFalse- (%==) SCP SCR = SFalse- (%==) SCP SCS = SFalse- (%==) SCP SCT = SFalse- (%==) SCP SCU = SFalse- (%==) SCP SCV = SFalse- (%==) SCP SCW = SFalse- (%==) SCP SCX = SFalse- (%==) SCP SCY = SFalse- (%==) SCP SCZ = SFalse- (%==) SCQ SCA = SFalse- (%==) SCQ SCB = SFalse- (%==) SCQ SCC = SFalse- (%==) SCQ SCD = SFalse- (%==) SCQ SCE = SFalse- (%==) SCQ SCF = SFalse- (%==) SCQ SCG = SFalse- (%==) SCQ SCH = SFalse- (%==) SCQ SCI = SFalse- (%==) SCQ SCJ = SFalse- (%==) SCQ SCK = SFalse- (%==) SCQ SCL = SFalse- (%==) SCQ SCM = SFalse- (%==) SCQ SCN = SFalse- (%==) SCQ SCO = SFalse- (%==) SCQ SCP = SFalse- (%==) SCQ SCQ = STrue- (%==) SCQ SCR = SFalse- (%==) SCQ SCS = SFalse- (%==) SCQ SCT = SFalse- (%==) SCQ SCU = SFalse- (%==) SCQ SCV = SFalse- (%==) SCQ SCW = SFalse- (%==) SCQ SCX = SFalse- (%==) SCQ SCY = SFalse- (%==) SCQ SCZ = SFalse- (%==) SCR SCA = SFalse- (%==) SCR SCB = SFalse- (%==) SCR SCC = SFalse- (%==) SCR SCD = SFalse- (%==) SCR SCE = SFalse- (%==) SCR SCF = SFalse- (%==) SCR SCG = SFalse- (%==) SCR SCH = SFalse- (%==) SCR SCI = SFalse- (%==) SCR SCJ = SFalse- (%==) SCR SCK = SFalse- (%==) SCR SCL = SFalse- (%==) SCR SCM = SFalse- (%==) SCR SCN = SFalse- (%==) SCR SCO = SFalse- (%==) SCR SCP = SFalse- (%==) SCR SCQ = SFalse- (%==) SCR SCR = STrue- (%==) SCR SCS = SFalse- (%==) SCR SCT = SFalse- (%==) SCR SCU = SFalse- (%==) SCR SCV = SFalse- (%==) SCR SCW = SFalse- (%==) SCR SCX = SFalse- (%==) SCR SCY = SFalse- (%==) SCR SCZ = SFalse- (%==) SCS SCA = SFalse- (%==) SCS SCB = SFalse- (%==) SCS SCC = SFalse- (%==) SCS SCD = SFalse- (%==) SCS SCE = SFalse- (%==) SCS SCF = SFalse- (%==) SCS SCG = SFalse- (%==) SCS SCH = SFalse- (%==) SCS SCI = SFalse- (%==) SCS SCJ = SFalse- (%==) SCS SCK = SFalse- (%==) SCS SCL = SFalse- (%==) SCS SCM = SFalse- (%==) SCS SCN = SFalse- (%==) SCS SCO = SFalse- (%==) SCS SCP = SFalse- (%==) SCS SCQ = SFalse- (%==) SCS SCR = SFalse- (%==) SCS SCS = STrue- (%==) SCS SCT = SFalse- (%==) SCS SCU = SFalse- (%==) SCS SCV = SFalse- (%==) SCS SCW = SFalse- (%==) SCS SCX = SFalse- (%==) SCS SCY = SFalse- (%==) SCS SCZ = SFalse- (%==) SCT SCA = SFalse- (%==) SCT SCB = SFalse- (%==) SCT SCC = SFalse- (%==) SCT SCD = SFalse- (%==) SCT SCE = SFalse- (%==) SCT SCF = SFalse- (%==) SCT SCG = SFalse- (%==) SCT SCH = SFalse- (%==) SCT SCI = SFalse- (%==) SCT SCJ = SFalse- (%==) SCT SCK = SFalse- (%==) SCT SCL = SFalse- (%==) SCT SCM = SFalse- (%==) SCT SCN = SFalse- (%==) SCT SCO = SFalse- (%==) SCT SCP = SFalse- (%==) SCT SCQ = SFalse- (%==) SCT SCR = SFalse- (%==) SCT SCS = SFalse- (%==) SCT SCT = STrue- (%==) SCT SCU = SFalse- (%==) SCT SCV = SFalse- (%==) SCT SCW = SFalse- (%==) SCT SCX = SFalse- (%==) SCT SCY = SFalse- (%==) SCT SCZ = SFalse- (%==) SCU SCA = SFalse- (%==) SCU SCB = SFalse- (%==) SCU SCC = SFalse- (%==) SCU SCD = SFalse- (%==) SCU SCE = SFalse- (%==) SCU SCF = SFalse- (%==) SCU SCG = SFalse- (%==) SCU SCH = SFalse- (%==) SCU SCI = SFalse- (%==) SCU SCJ = SFalse- (%==) SCU SCK = SFalse- (%==) SCU SCL = SFalse- (%==) SCU SCM = SFalse- (%==) SCU SCN = SFalse- (%==) SCU SCO = SFalse- (%==) SCU SCP = SFalse- (%==) SCU SCQ = SFalse- (%==) SCU SCR = SFalse- (%==) SCU SCS = SFalse- (%==) SCU SCT = SFalse- (%==) SCU SCU = STrue- (%==) SCU SCV = SFalse- (%==) SCU SCW = SFalse- (%==) SCU SCX = SFalse- (%==) SCU SCY = SFalse- (%==) SCU SCZ = SFalse- (%==) SCV SCA = SFalse- (%==) SCV SCB = SFalse- (%==) SCV SCC = SFalse- (%==) SCV SCD = SFalse- (%==) SCV SCE = SFalse- (%==) SCV SCF = SFalse- (%==) SCV SCG = SFalse- (%==) SCV SCH = SFalse- (%==) SCV SCI = SFalse- (%==) SCV SCJ = SFalse- (%==) SCV SCK = SFalse- (%==) SCV SCL = SFalse- (%==) SCV SCM = SFalse- (%==) SCV SCN = SFalse- (%==) SCV SCO = SFalse- (%==) SCV SCP = SFalse- (%==) SCV SCQ = SFalse- (%==) SCV SCR = SFalse- (%==) SCV SCS = SFalse- (%==) SCV SCT = SFalse- (%==) SCV SCU = SFalse- (%==) SCV SCV = STrue- (%==) SCV SCW = SFalse- (%==) SCV SCX = SFalse- (%==) SCV SCY = SFalse- (%==) SCV SCZ = SFalse- (%==) SCW SCA = SFalse- (%==) SCW SCB = SFalse- (%==) SCW SCC = SFalse- (%==) SCW SCD = SFalse- (%==) SCW SCE = SFalse- (%==) SCW SCF = SFalse- (%==) SCW SCG = SFalse- (%==) SCW SCH = SFalse- (%==) SCW SCI = SFalse- (%==) SCW SCJ = SFalse- (%==) SCW SCK = SFalse- (%==) SCW SCL = SFalse- (%==) SCW SCM = SFalse- (%==) SCW SCN = SFalse- (%==) SCW SCO = SFalse- (%==) SCW SCP = SFalse- (%==) SCW SCQ = SFalse- (%==) SCW SCR = SFalse- (%==) SCW SCS = SFalse- (%==) SCW SCT = SFalse- (%==) SCW SCU = SFalse- (%==) SCW SCV = SFalse- (%==) SCW SCW = STrue- (%==) SCW SCX = SFalse- (%==) SCW SCY = SFalse- (%==) SCW SCZ = SFalse- (%==) SCX SCA = SFalse- (%==) SCX SCB = SFalse- (%==) SCX SCC = SFalse- (%==) SCX SCD = SFalse- (%==) SCX SCE = SFalse- (%==) SCX SCF = SFalse- (%==) SCX SCG = SFalse- (%==) SCX SCH = SFalse- (%==) SCX SCI = SFalse- (%==) SCX SCJ = SFalse- (%==) SCX SCK = SFalse- (%==) SCX SCL = SFalse- (%==) SCX SCM = SFalse- (%==) SCX SCN = SFalse- (%==) SCX SCO = SFalse- (%==) SCX SCP = SFalse- (%==) SCX SCQ = SFalse- (%==) SCX SCR = SFalse- (%==) SCX SCS = SFalse- (%==) SCX SCT = SFalse- (%==) SCX SCU = SFalse- (%==) SCX SCV = SFalse- (%==) SCX SCW = SFalse- (%==) SCX SCX = STrue- (%==) SCX SCY = SFalse- (%==) SCX SCZ = SFalse- (%==) SCY SCA = SFalse- (%==) SCY SCB = SFalse- (%==) SCY SCC = SFalse- (%==) SCY SCD = SFalse- (%==) SCY SCE = SFalse- (%==) SCY SCF = SFalse- (%==) SCY SCG = SFalse- (%==) SCY SCH = SFalse- (%==) SCY SCI = SFalse- (%==) SCY SCJ = SFalse- (%==) SCY SCK = SFalse- (%==) SCY SCL = SFalse- (%==) SCY SCM = SFalse- (%==) SCY SCN = SFalse- (%==) SCY SCO = SFalse- (%==) SCY SCP = SFalse- (%==) SCY SCQ = SFalse- (%==) SCY SCR = SFalse- (%==) SCY SCS = SFalse- (%==) SCY SCT = SFalse- (%==) SCY SCU = SFalse- (%==) SCY SCV = SFalse- (%==) SCY SCW = SFalse- (%==) SCY SCX = SFalse- (%==) SCY SCY = STrue- (%==) SCY SCZ = SFalse- (%==) SCZ SCA = SFalse- (%==) SCZ SCB = SFalse- (%==) SCZ SCC = SFalse- (%==) SCZ SCD = SFalse- (%==) SCZ SCE = SFalse- (%==) SCZ SCF = SFalse- (%==) SCZ SCG = SFalse- (%==) SCZ SCH = SFalse- (%==) SCZ SCI = SFalse- (%==) SCZ SCJ = SFalse- (%==) SCZ SCK = SFalse- (%==) SCZ SCL = SFalse- (%==) SCZ SCM = SFalse- (%==) SCZ SCN = SFalse- (%==) SCZ SCO = SFalse- (%==) SCZ SCP = SFalse- (%==) SCZ SCQ = SFalse- (%==) SCZ SCR = SFalse- (%==) SCZ SCS = SFalse- (%==) SCZ SCT = SFalse- (%==) SCZ SCU = SFalse- (%==) SCZ SCV = SFalse- (%==) SCZ SCW = SFalse- (%==) SCZ SCX = SFalse- (%==) SCZ SCY = SFalse- (%==) SCZ SCZ = STrue- instance SDecide AChar where- (%~) SCA SCA = Proved Refl- (%~) SCA SCB = Disproved (\ x -> case x of)- (%~) SCA SCC = Disproved (\ x -> case x of)- (%~) SCA SCD = Disproved (\ x -> case x of)- (%~) SCA SCE = Disproved (\ x -> case x of)- (%~) SCA SCF = Disproved (\ x -> case x of)- (%~) SCA SCG = Disproved (\ x -> case x of)- (%~) SCA SCH = Disproved (\ x -> case x of)- (%~) SCA SCI = Disproved (\ x -> case x of)- (%~) SCA SCJ = Disproved (\ x -> case x of)- (%~) SCA SCK = Disproved (\ x -> case x of)- (%~) SCA SCL = Disproved (\ x -> case x of)- (%~) SCA SCM = Disproved (\ x -> case x of)- (%~) SCA SCN = Disproved (\ x -> case x of)- (%~) SCA SCO = Disproved (\ x -> case x of)- (%~) SCA SCP = Disproved (\ x -> case x of)- (%~) SCA SCQ = Disproved (\ x -> case x of)- (%~) SCA SCR = Disproved (\ x -> case x of)- (%~) SCA SCS = Disproved (\ x -> case x of)- (%~) SCA SCT = Disproved (\ x -> case x of)- (%~) SCA SCU = Disproved (\ x -> case x of)- (%~) SCA SCV = Disproved (\ x -> case x of)- (%~) SCA SCW = Disproved (\ x -> case x of)- (%~) SCA SCX = Disproved (\ x -> case x of)- (%~) SCA SCY = Disproved (\ x -> case x of)- (%~) SCA SCZ = Disproved (\ x -> case x of)- (%~) SCB SCA = Disproved (\ x -> case x of)- (%~) SCB SCB = Proved Refl- (%~) SCB SCC = Disproved (\ x -> case x of)- (%~) SCB SCD = Disproved (\ x -> case x of)- (%~) SCB SCE = Disproved (\ x -> case x of)- (%~) SCB SCF = Disproved (\ x -> case x of)- (%~) SCB SCG = Disproved (\ x -> case x of)- (%~) SCB SCH = Disproved (\ x -> case x of)- (%~) SCB SCI = Disproved (\ x -> case x of)- (%~) SCB SCJ = Disproved (\ x -> case x of)- (%~) SCB SCK = Disproved (\ x -> case x of)- (%~) SCB SCL = Disproved (\ x -> case x of)- (%~) SCB SCM = Disproved (\ x -> case x of)- (%~) SCB SCN = Disproved (\ x -> case x of)- (%~) SCB SCO = Disproved (\ x -> case x of)- (%~) SCB SCP = Disproved (\ x -> case x of)- (%~) SCB SCQ = Disproved (\ x -> case x of)- (%~) SCB SCR = Disproved (\ x -> case x of)- (%~) SCB SCS = Disproved (\ x -> case x of)- (%~) SCB SCT = Disproved (\ x -> case x of)- (%~) SCB SCU = Disproved (\ x -> case x of)- (%~) SCB SCV = Disproved (\ x -> case x of)- (%~) SCB SCW = Disproved (\ x -> case x of)- (%~) SCB SCX = Disproved (\ x -> case x of)- (%~) SCB SCY = Disproved (\ x -> case x of)- (%~) SCB SCZ = Disproved (\ x -> case x of)- (%~) SCC SCA = Disproved (\ x -> case x of)- (%~) SCC SCB = Disproved (\ x -> case x of)- (%~) SCC SCC = Proved Refl- (%~) SCC SCD = Disproved (\ x -> case x of)- (%~) SCC SCE = Disproved (\ x -> case x of)- (%~) SCC SCF = Disproved (\ x -> case x of)- (%~) SCC SCG = Disproved (\ x -> case x of)- (%~) SCC SCH = Disproved (\ x -> case x of)- (%~) SCC SCI = Disproved (\ x -> case x of)- (%~) SCC SCJ = Disproved (\ x -> case x of)- (%~) SCC SCK = Disproved (\ x -> case x of)- (%~) SCC SCL = Disproved (\ x -> case x of)- (%~) SCC SCM = Disproved (\ x -> case x of)- (%~) SCC SCN = Disproved (\ x -> case x of)- (%~) SCC SCO = Disproved (\ x -> case x of)- (%~) SCC SCP = Disproved (\ x -> case x of)- (%~) SCC SCQ = Disproved (\ x -> case x of)- (%~) SCC SCR = Disproved (\ x -> case x of)- (%~) SCC SCS = Disproved (\ x -> case x of)- (%~) SCC SCT = Disproved (\ x -> case x of)- (%~) SCC SCU = Disproved (\ x -> case x of)- (%~) SCC SCV = Disproved (\ x -> case x of)- (%~) SCC SCW = Disproved (\ x -> case x of)- (%~) SCC SCX = Disproved (\ x -> case x of)- (%~) SCC SCY = Disproved (\ x -> case x of)- (%~) SCC SCZ = Disproved (\ x -> case x of)- (%~) SCD SCA = Disproved (\ x -> case x of)- (%~) SCD SCB = Disproved (\ x -> case x of)- (%~) SCD SCC = Disproved (\ x -> case x of)- (%~) SCD SCD = Proved Refl- (%~) SCD SCE = Disproved (\ x -> case x of)- (%~) SCD SCF = Disproved (\ x -> case x of)- (%~) SCD SCG = Disproved (\ x -> case x of)- (%~) SCD SCH = Disproved (\ x -> case x of)- (%~) SCD SCI = Disproved (\ x -> case x of)- (%~) SCD SCJ = Disproved (\ x -> case x of)- (%~) SCD SCK = Disproved (\ x -> case x of)- (%~) SCD SCL = Disproved (\ x -> case x of)- (%~) SCD SCM = Disproved (\ x -> case x of)- (%~) SCD SCN = Disproved (\ x -> case x of)- (%~) SCD SCO = Disproved (\ x -> case x of)- (%~) SCD SCP = Disproved (\ x -> case x of)- (%~) SCD SCQ = Disproved (\ x -> case x of)- (%~) SCD SCR = Disproved (\ x -> case x of)- (%~) SCD SCS = Disproved (\ x -> case x of)- (%~) SCD SCT = Disproved (\ x -> case x of)- (%~) SCD SCU = Disproved (\ x -> case x of)- (%~) SCD SCV = Disproved (\ x -> case x of)- (%~) SCD SCW = Disproved (\ x -> case x of)- (%~) SCD SCX = Disproved (\ x -> case x of)- (%~) SCD SCY = Disproved (\ x -> case x of)- (%~) SCD SCZ = Disproved (\ x -> case x of)- (%~) SCE SCA = Disproved (\ x -> case x of)- (%~) SCE SCB = Disproved (\ x -> case x of)- (%~) SCE SCC = Disproved (\ x -> case x of)- (%~) SCE SCD = Disproved (\ x -> case x of)- (%~) SCE SCE = Proved Refl- (%~) SCE SCF = Disproved (\ x -> case x of)- (%~) SCE SCG = Disproved (\ x -> case x of)- (%~) SCE SCH = Disproved (\ x -> case x of)- (%~) SCE SCI = Disproved (\ x -> case x of)- (%~) SCE SCJ = Disproved (\ x -> case x of)- (%~) SCE SCK = Disproved (\ x -> case x of)- (%~) SCE SCL = Disproved (\ x -> case x of)- (%~) SCE SCM = Disproved (\ x -> case x of)- (%~) SCE SCN = Disproved (\ x -> case x of)- (%~) SCE SCO = Disproved (\ x -> case x of)- (%~) SCE SCP = Disproved (\ x -> case x of)- (%~) SCE SCQ = Disproved (\ x -> case x of)- (%~) SCE SCR = Disproved (\ x -> case x of)- (%~) SCE SCS = Disproved (\ x -> case x of)- (%~) SCE SCT = Disproved (\ x -> case x of)- (%~) SCE SCU = Disproved (\ x -> case x of)- (%~) SCE SCV = Disproved (\ x -> case x of)- (%~) SCE SCW = Disproved (\ x -> case x of)- (%~) SCE SCX = Disproved (\ x -> case x of)- (%~) SCE SCY = Disproved (\ x -> case x of)- (%~) SCE SCZ = Disproved (\ x -> case x of)- (%~) SCF SCA = Disproved (\ x -> case x of)- (%~) SCF SCB = Disproved (\ x -> case x of)- (%~) SCF SCC = Disproved (\ x -> case x of)- (%~) SCF SCD = Disproved (\ x -> case x of)- (%~) SCF SCE = Disproved (\ x -> case x of)- (%~) SCF SCF = Proved Refl- (%~) SCF SCG = Disproved (\ x -> case x of)- (%~) SCF SCH = Disproved (\ x -> case x of)- (%~) SCF SCI = Disproved (\ x -> case x of)- (%~) SCF SCJ = Disproved (\ x -> case x of)- (%~) SCF SCK = Disproved (\ x -> case x of)- (%~) SCF SCL = Disproved (\ x -> case x of)- (%~) SCF SCM = Disproved (\ x -> case x of)- (%~) SCF SCN = Disproved (\ x -> case x of)- (%~) SCF SCO = Disproved (\ x -> case x of)- (%~) SCF SCP = Disproved (\ x -> case x of)- (%~) SCF SCQ = Disproved (\ x -> case x of)- (%~) SCF SCR = Disproved (\ x -> case x of)- (%~) SCF SCS = Disproved (\ x -> case x of)- (%~) SCF SCT = Disproved (\ x -> case x of)- (%~) SCF SCU = Disproved (\ x -> case x of)- (%~) SCF SCV = Disproved (\ x -> case x of)- (%~) SCF SCW = Disproved (\ x -> case x of)- (%~) SCF SCX = Disproved (\ x -> case x of)- (%~) SCF SCY = Disproved (\ x -> case x of)- (%~) SCF SCZ = Disproved (\ x -> case x of)- (%~) SCG SCA = Disproved (\ x -> case x of)- (%~) SCG SCB = Disproved (\ x -> case x of)- (%~) SCG SCC = Disproved (\ x -> case x of)- (%~) SCG SCD = Disproved (\ x -> case x of)- (%~) SCG SCE = Disproved (\ x -> case x of)- (%~) SCG SCF = Disproved (\ x -> case x of)- (%~) SCG SCG = Proved Refl- (%~) SCG SCH = Disproved (\ x -> case x of)- (%~) SCG SCI = Disproved (\ x -> case x of)- (%~) SCG SCJ = Disproved (\ x -> case x of)- (%~) SCG SCK = Disproved (\ x -> case x of)- (%~) SCG SCL = Disproved (\ x -> case x of)- (%~) SCG SCM = Disproved (\ x -> case x of)- (%~) SCG SCN = Disproved (\ x -> case x of)- (%~) SCG SCO = Disproved (\ x -> case x of)- (%~) SCG SCP = Disproved (\ x -> case x of)- (%~) SCG SCQ = Disproved (\ x -> case x of)- (%~) SCG SCR = Disproved (\ x -> case x of)- (%~) SCG SCS = Disproved (\ x -> case x of)- (%~) SCG SCT = Disproved (\ x -> case x of)- (%~) SCG SCU = Disproved (\ x -> case x of)- (%~) SCG SCV = Disproved (\ x -> case x of)- (%~) SCG SCW = Disproved (\ x -> case x of)- (%~) SCG SCX = Disproved (\ x -> case x of)- (%~) SCG SCY = Disproved (\ x -> case x of)- (%~) SCG SCZ = Disproved (\ x -> case x of)- (%~) SCH SCA = Disproved (\ x -> case x of)- (%~) SCH SCB = Disproved (\ x -> case x of)- (%~) SCH SCC = Disproved (\ x -> case x of)- (%~) SCH SCD = Disproved (\ x -> case x of)- (%~) SCH SCE = Disproved (\ x -> case x of)- (%~) SCH SCF = Disproved (\ x -> case x of)- (%~) SCH SCG = Disproved (\ x -> case x of)- (%~) SCH SCH = Proved Refl- (%~) SCH SCI = Disproved (\ x -> case x of)- (%~) SCH SCJ = Disproved (\ x -> case x of)- (%~) SCH SCK = Disproved (\ x -> case x of)- (%~) SCH SCL = Disproved (\ x -> case x of)- (%~) SCH SCM = Disproved (\ x -> case x of)- (%~) SCH SCN = Disproved (\ x -> case x of)- (%~) SCH SCO = Disproved (\ x -> case x of)- (%~) SCH SCP = Disproved (\ x -> case x of)- (%~) SCH SCQ = Disproved (\ x -> case x of)- (%~) SCH SCR = Disproved (\ x -> case x of)- (%~) SCH SCS = Disproved (\ x -> case x of)- (%~) SCH SCT = Disproved (\ x -> case x of)- (%~) SCH SCU = Disproved (\ x -> case x of)- (%~) SCH SCV = Disproved (\ x -> case x of)- (%~) SCH SCW = Disproved (\ x -> case x of)- (%~) SCH SCX = Disproved (\ x -> case x of)- (%~) SCH SCY = Disproved (\ x -> case x of)- (%~) SCH SCZ = Disproved (\ x -> case x of)- (%~) SCI SCA = Disproved (\ x -> case x of)- (%~) SCI SCB = Disproved (\ x -> case x of)- (%~) SCI SCC = Disproved (\ x -> case x of)- (%~) SCI SCD = Disproved (\ x -> case x of)- (%~) SCI SCE = Disproved (\ x -> case x of)- (%~) SCI SCF = Disproved (\ x -> case x of)- (%~) SCI SCG = Disproved (\ x -> case x of)- (%~) SCI SCH = Disproved (\ x -> case x of)- (%~) SCI SCI = Proved Refl- (%~) SCI SCJ = Disproved (\ x -> case x of)- (%~) SCI SCK = Disproved (\ x -> case x of)- (%~) SCI SCL = Disproved (\ x -> case x of)- (%~) SCI SCM = Disproved (\ x -> case x of)- (%~) SCI SCN = Disproved (\ x -> case x of)- (%~) SCI SCO = Disproved (\ x -> case x of)- (%~) SCI SCP = Disproved (\ x -> case x of)- (%~) SCI SCQ = Disproved (\ x -> case x of)- (%~) SCI SCR = Disproved (\ x -> case x of)- (%~) SCI SCS = Disproved (\ x -> case x of)- (%~) SCI SCT = Disproved (\ x -> case x of)- (%~) SCI SCU = Disproved (\ x -> case x of)- (%~) SCI SCV = Disproved (\ x -> case x of)- (%~) SCI SCW = Disproved (\ x -> case x of)- (%~) SCI SCX = Disproved (\ x -> case x of)- (%~) SCI SCY = Disproved (\ x -> case x of)- (%~) SCI SCZ = Disproved (\ x -> case x of)- (%~) SCJ SCA = Disproved (\ x -> case x of)- (%~) SCJ SCB = Disproved (\ x -> case x of)- (%~) SCJ SCC = Disproved (\ x -> case x of)- (%~) SCJ SCD = Disproved (\ x -> case x of)- (%~) SCJ SCE = Disproved (\ x -> case x of)- (%~) SCJ SCF = Disproved (\ x -> case x of)- (%~) SCJ SCG = Disproved (\ x -> case x of)- (%~) SCJ SCH = Disproved (\ x -> case x of)- (%~) SCJ SCI = Disproved (\ x -> case x of)- (%~) SCJ SCJ = Proved Refl- (%~) SCJ SCK = Disproved (\ x -> case x of)- (%~) SCJ SCL = Disproved (\ x -> case x of)- (%~) SCJ SCM = Disproved (\ x -> case x of)- (%~) SCJ SCN = Disproved (\ x -> case x of)- (%~) SCJ SCO = Disproved (\ x -> case x of)- (%~) SCJ SCP = Disproved (\ x -> case x of)- (%~) SCJ SCQ = Disproved (\ x -> case x of)- (%~) SCJ SCR = Disproved (\ x -> case x of)- (%~) SCJ SCS = Disproved (\ x -> case x of)- (%~) SCJ SCT = Disproved (\ x -> case x of)- (%~) SCJ SCU = Disproved (\ x -> case x of)- (%~) SCJ SCV = Disproved (\ x -> case x of)- (%~) SCJ SCW = Disproved (\ x -> case x of)- (%~) SCJ SCX = Disproved (\ x -> case x of)- (%~) SCJ SCY = Disproved (\ x -> case x of)- (%~) SCJ SCZ = Disproved (\ x -> case x of)- (%~) SCK SCA = Disproved (\ x -> case x of)- (%~) SCK SCB = Disproved (\ x -> case x of)- (%~) SCK SCC = Disproved (\ x -> case x of)- (%~) SCK SCD = Disproved (\ x -> case x of)- (%~) SCK SCE = Disproved (\ x -> case x of)- (%~) SCK SCF = Disproved (\ x -> case x of)- (%~) SCK SCG = Disproved (\ x -> case x of)- (%~) SCK SCH = Disproved (\ x -> case x of)- (%~) SCK SCI = Disproved (\ x -> case x of)- (%~) SCK SCJ = Disproved (\ x -> case x of)- (%~) SCK SCK = Proved Refl- (%~) SCK SCL = Disproved (\ x -> case x of)- (%~) SCK SCM = Disproved (\ x -> case x of)- (%~) SCK SCN = Disproved (\ x -> case x of)- (%~) SCK SCO = Disproved (\ x -> case x of)- (%~) SCK SCP = Disproved (\ x -> case x of)- (%~) SCK SCQ = Disproved (\ x -> case x of)- (%~) SCK SCR = Disproved (\ x -> case x of)- (%~) SCK SCS = Disproved (\ x -> case x of)- (%~) SCK SCT = Disproved (\ x -> case x of)- (%~) SCK SCU = Disproved (\ x -> case x of)- (%~) SCK SCV = Disproved (\ x -> case x of)- (%~) SCK SCW = Disproved (\ x -> case x of)- (%~) SCK SCX = Disproved (\ x -> case x of)- (%~) SCK SCY = Disproved (\ x -> case x of)- (%~) SCK SCZ = Disproved (\ x -> case x of)- (%~) SCL SCA = Disproved (\ x -> case x of)- (%~) SCL SCB = Disproved (\ x -> case x of)- (%~) SCL SCC = Disproved (\ x -> case x of)- (%~) SCL SCD = Disproved (\ x -> case x of)- (%~) SCL SCE = Disproved (\ x -> case x of)- (%~) SCL SCF = Disproved (\ x -> case x of)- (%~) SCL SCG = Disproved (\ x -> case x of)- (%~) SCL SCH = Disproved (\ x -> case x of)- (%~) SCL SCI = Disproved (\ x -> case x of)- (%~) SCL SCJ = Disproved (\ x -> case x of)- (%~) SCL SCK = Disproved (\ x -> case x of)- (%~) SCL SCL = Proved Refl- (%~) SCL SCM = Disproved (\ x -> case x of)- (%~) SCL SCN = Disproved (\ x -> case x of)- (%~) SCL SCO = Disproved (\ x -> case x of)- (%~) SCL SCP = Disproved (\ x -> case x of)- (%~) SCL SCQ = Disproved (\ x -> case x of)- (%~) SCL SCR = Disproved (\ x -> case x of)- (%~) SCL SCS = Disproved (\ x -> case x of)- (%~) SCL SCT = Disproved (\ x -> case x of)- (%~) SCL SCU = Disproved (\ x -> case x of)- (%~) SCL SCV = Disproved (\ x -> case x of)- (%~) SCL SCW = Disproved (\ x -> case x of)- (%~) SCL SCX = Disproved (\ x -> case x of)- (%~) SCL SCY = Disproved (\ x -> case x of)- (%~) SCL SCZ = Disproved (\ x -> case x of)- (%~) SCM SCA = Disproved (\ x -> case x of)- (%~) SCM SCB = Disproved (\ x -> case x of)- (%~) SCM SCC = Disproved (\ x -> case x of)- (%~) SCM SCD = Disproved (\ x -> case x of)- (%~) SCM SCE = Disproved (\ x -> case x of)- (%~) SCM SCF = Disproved (\ x -> case x of)- (%~) SCM SCG = Disproved (\ x -> case x of)- (%~) SCM SCH = Disproved (\ x -> case x of)- (%~) SCM SCI = Disproved (\ x -> case x of)- (%~) SCM SCJ = Disproved (\ x -> case x of)- (%~) SCM SCK = Disproved (\ x -> case x of)- (%~) SCM SCL = Disproved (\ x -> case x of)- (%~) SCM SCM = Proved Refl- (%~) SCM SCN = Disproved (\ x -> case x of)- (%~) SCM SCO = Disproved (\ x -> case x of)- (%~) SCM SCP = Disproved (\ x -> case x of)- (%~) SCM SCQ = Disproved (\ x -> case x of)- (%~) SCM SCR = Disproved (\ x -> case x of)- (%~) SCM SCS = Disproved (\ x -> case x of)- (%~) SCM SCT = Disproved (\ x -> case x of)- (%~) SCM SCU = Disproved (\ x -> case x of)- (%~) SCM SCV = Disproved (\ x -> case x of)- (%~) SCM SCW = Disproved (\ x -> case x of)- (%~) SCM SCX = Disproved (\ x -> case x of)- (%~) SCM SCY = Disproved (\ x -> case x of)- (%~) SCM SCZ = Disproved (\ x -> case x of)- (%~) SCN SCA = Disproved (\ x -> case x of)- (%~) SCN SCB = Disproved (\ x -> case x of)- (%~) SCN SCC = Disproved (\ x -> case x of)- (%~) SCN SCD = Disproved (\ x -> case x of)- (%~) SCN SCE = Disproved (\ x -> case x of)- (%~) SCN SCF = Disproved (\ x -> case x of)- (%~) SCN SCG = Disproved (\ x -> case x of)- (%~) SCN SCH = Disproved (\ x -> case x of)- (%~) SCN SCI = Disproved (\ x -> case x of)- (%~) SCN SCJ = Disproved (\ x -> case x of)- (%~) SCN SCK = Disproved (\ x -> case x of)- (%~) SCN SCL = Disproved (\ x -> case x of)- (%~) SCN SCM = Disproved (\ x -> case x of)- (%~) SCN SCN = Proved Refl- (%~) SCN SCO = Disproved (\ x -> case x of)- (%~) SCN SCP = Disproved (\ x -> case x of)- (%~) SCN SCQ = Disproved (\ x -> case x of)- (%~) SCN SCR = Disproved (\ x -> case x of)- (%~) SCN SCS = Disproved (\ x -> case x of)- (%~) SCN SCT = Disproved (\ x -> case x of)- (%~) SCN SCU = Disproved (\ x -> case x of)- (%~) SCN SCV = Disproved (\ x -> case x of)- (%~) SCN SCW = Disproved (\ x -> case x of)- (%~) SCN SCX = Disproved (\ x -> case x of)- (%~) SCN SCY = Disproved (\ x -> case x of)- (%~) SCN SCZ = Disproved (\ x -> case x of)- (%~) SCO SCA = Disproved (\ x -> case x of)- (%~) SCO SCB = Disproved (\ x -> case x of)- (%~) SCO SCC = Disproved (\ x -> case x of)- (%~) SCO SCD = Disproved (\ x -> case x of)- (%~) SCO SCE = Disproved (\ x -> case x of)- (%~) SCO SCF = Disproved (\ x -> case x of)- (%~) SCO SCG = Disproved (\ x -> case x of)- (%~) SCO SCH = Disproved (\ x -> case x of)- (%~) SCO SCI = Disproved (\ x -> case x of)- (%~) SCO SCJ = Disproved (\ x -> case x of)- (%~) SCO SCK = Disproved (\ x -> case x of)- (%~) SCO SCL = Disproved (\ x -> case x of)- (%~) SCO SCM = Disproved (\ x -> case x of)- (%~) SCO SCN = Disproved (\ x -> case x of)- (%~) SCO SCO = Proved Refl- (%~) SCO SCP = Disproved (\ x -> case x of)- (%~) SCO SCQ = Disproved (\ x -> case x of)- (%~) SCO SCR = Disproved (\ x -> case x of)- (%~) SCO SCS = Disproved (\ x -> case x of)- (%~) SCO SCT = Disproved (\ x -> case x of)- (%~) SCO SCU = Disproved (\ x -> case x of)- (%~) SCO SCV = Disproved (\ x -> case x of)- (%~) SCO SCW = Disproved (\ x -> case x of)- (%~) SCO SCX = Disproved (\ x -> case x of)- (%~) SCO SCY = Disproved (\ x -> case x of)- (%~) SCO SCZ = Disproved (\ x -> case x of)- (%~) SCP SCA = Disproved (\ x -> case x of)- (%~) SCP SCB = Disproved (\ x -> case x of)- (%~) SCP SCC = Disproved (\ x -> case x of)- (%~) SCP SCD = Disproved (\ x -> case x of)- (%~) SCP SCE = Disproved (\ x -> case x of)- (%~) SCP SCF = Disproved (\ x -> case x of)- (%~) SCP SCG = Disproved (\ x -> case x of)- (%~) SCP SCH = Disproved (\ x -> case x of)- (%~) SCP SCI = Disproved (\ x -> case x of)- (%~) SCP SCJ = Disproved (\ x -> case x of)- (%~) SCP SCK = Disproved (\ x -> case x of)- (%~) SCP SCL = Disproved (\ x -> case x of)- (%~) SCP SCM = Disproved (\ x -> case x of)- (%~) SCP SCN = Disproved (\ x -> case x of)- (%~) SCP SCO = Disproved (\ x -> case x of)- (%~) SCP SCP = Proved Refl- (%~) SCP SCQ = Disproved (\ x -> case x of)- (%~) SCP SCR = Disproved (\ x -> case x of)- (%~) SCP SCS = Disproved (\ x -> case x of)- (%~) SCP SCT = Disproved (\ x -> case x of)- (%~) SCP SCU = Disproved (\ x -> case x of)- (%~) SCP SCV = Disproved (\ x -> case x of)- (%~) SCP SCW = Disproved (\ x -> case x of)- (%~) SCP SCX = Disproved (\ x -> case x of)- (%~) SCP SCY = Disproved (\ x -> case x of)- (%~) SCP SCZ = Disproved (\ x -> case x of)- (%~) SCQ SCA = Disproved (\ x -> case x of)- (%~) SCQ SCB = Disproved (\ x -> case x of)- (%~) SCQ SCC = Disproved (\ x -> case x of)- (%~) SCQ SCD = Disproved (\ x -> case x of)- (%~) SCQ SCE = Disproved (\ x -> case x of)- (%~) SCQ SCF = Disproved (\ x -> case x of)- (%~) SCQ SCG = Disproved (\ x -> case x of)- (%~) SCQ SCH = Disproved (\ x -> case x of)- (%~) SCQ SCI = Disproved (\ x -> case x of)- (%~) SCQ SCJ = Disproved (\ x -> case x of)- (%~) SCQ SCK = Disproved (\ x -> case x of)- (%~) SCQ SCL = Disproved (\ x -> case x of)- (%~) SCQ SCM = Disproved (\ x -> case x of)- (%~) SCQ SCN = Disproved (\ x -> case x of)- (%~) SCQ SCO = Disproved (\ x -> case x of)- (%~) SCQ SCP = Disproved (\ x -> case x of)- (%~) SCQ SCQ = Proved Refl- (%~) SCQ SCR = Disproved (\ x -> case x of)- (%~) SCQ SCS = Disproved (\ x -> case x of)- (%~) SCQ SCT = Disproved (\ x -> case x of)- (%~) SCQ SCU = Disproved (\ x -> case x of)- (%~) SCQ SCV = Disproved (\ x -> case x of)- (%~) SCQ SCW = Disproved (\ x -> case x of)- (%~) SCQ SCX = Disproved (\ x -> case x of)- (%~) SCQ SCY = Disproved (\ x -> case x of)- (%~) SCQ SCZ = Disproved (\ x -> case x of)- (%~) SCR SCA = Disproved (\ x -> case x of)- (%~) SCR SCB = Disproved (\ x -> case x of)- (%~) SCR SCC = Disproved (\ x -> case x of)- (%~) SCR SCD = Disproved (\ x -> case x of)- (%~) SCR SCE = Disproved (\ x -> case x of)- (%~) SCR SCF = Disproved (\ x -> case x of)- (%~) SCR SCG = Disproved (\ x -> case x of)- (%~) SCR SCH = Disproved (\ x -> case x of)- (%~) SCR SCI = Disproved (\ x -> case x of)- (%~) SCR SCJ = Disproved (\ x -> case x of)- (%~) SCR SCK = Disproved (\ x -> case x of)- (%~) SCR SCL = Disproved (\ x -> case x of)- (%~) SCR SCM = Disproved (\ x -> case x of)- (%~) SCR SCN = Disproved (\ x -> case x of)- (%~) SCR SCO = Disproved (\ x -> case x of)- (%~) SCR SCP = Disproved (\ x -> case x of)- (%~) SCR SCQ = Disproved (\ x -> case x of)- (%~) SCR SCR = Proved Refl- (%~) SCR SCS = Disproved (\ x -> case x of)- (%~) SCR SCT = Disproved (\ x -> case x of)- (%~) SCR SCU = Disproved (\ x -> case x of)- (%~) SCR SCV = Disproved (\ x -> case x of)- (%~) SCR SCW = Disproved (\ x -> case x of)- (%~) SCR SCX = Disproved (\ x -> case x of)- (%~) SCR SCY = Disproved (\ x -> case x of)- (%~) SCR SCZ = Disproved (\ x -> case x of)- (%~) SCS SCA = Disproved (\ x -> case x of)- (%~) SCS SCB = Disproved (\ x -> case x of)- (%~) SCS SCC = Disproved (\ x -> case x of)- (%~) SCS SCD = Disproved (\ x -> case x of)- (%~) SCS SCE = Disproved (\ x -> case x of)- (%~) SCS SCF = Disproved (\ x -> case x of)- (%~) SCS SCG = Disproved (\ x -> case x of)- (%~) SCS SCH = Disproved (\ x -> case x of)- (%~) SCS SCI = Disproved (\ x -> case x of)- (%~) SCS SCJ = Disproved (\ x -> case x of)- (%~) SCS SCK = Disproved (\ x -> case x of)- (%~) SCS SCL = Disproved (\ x -> case x of)- (%~) SCS SCM = Disproved (\ x -> case x of)- (%~) SCS SCN = Disproved (\ x -> case x of)- (%~) SCS SCO = Disproved (\ x -> case x of)- (%~) SCS SCP = Disproved (\ x -> case x of)- (%~) SCS SCQ = Disproved (\ x -> case x of)- (%~) SCS SCR = Disproved (\ x -> case x of)- (%~) SCS SCS = Proved Refl- (%~) SCS SCT = Disproved (\ x -> case x of)- (%~) SCS SCU = Disproved (\ x -> case x of)- (%~) SCS SCV = Disproved (\ x -> case x of)- (%~) SCS SCW = Disproved (\ x -> case x of)- (%~) SCS SCX = Disproved (\ x -> case x of)- (%~) SCS SCY = Disproved (\ x -> case x of)- (%~) SCS SCZ = Disproved (\ x -> case x of)- (%~) SCT SCA = Disproved (\ x -> case x of)- (%~) SCT SCB = Disproved (\ x -> case x of)- (%~) SCT SCC = Disproved (\ x -> case x of)- (%~) SCT SCD = Disproved (\ x -> case x of)- (%~) SCT SCE = Disproved (\ x -> case x of)- (%~) SCT SCF = Disproved (\ x -> case x of)- (%~) SCT SCG = Disproved (\ x -> case x of)- (%~) SCT SCH = Disproved (\ x -> case x of)- (%~) SCT SCI = Disproved (\ x -> case x of)- (%~) SCT SCJ = Disproved (\ x -> case x of)- (%~) SCT SCK = Disproved (\ x -> case x of)- (%~) SCT SCL = Disproved (\ x -> case x of)- (%~) SCT SCM = Disproved (\ x -> case x of)- (%~) SCT SCN = Disproved (\ x -> case x of)- (%~) SCT SCO = Disproved (\ x -> case x of)- (%~) SCT SCP = Disproved (\ x -> case x of)- (%~) SCT SCQ = Disproved (\ x -> case x of)- (%~) SCT SCR = Disproved (\ x -> case x of)- (%~) SCT SCS = Disproved (\ x -> case x of)- (%~) SCT SCT = Proved Refl- (%~) SCT SCU = Disproved (\ x -> case x of)- (%~) SCT SCV = Disproved (\ x -> case x of)- (%~) SCT SCW = Disproved (\ x -> case x of)- (%~) SCT SCX = Disproved (\ x -> case x of)- (%~) SCT SCY = Disproved (\ x -> case x of)- (%~) SCT SCZ = Disproved (\ x -> case x of)- (%~) SCU SCA = Disproved (\ x -> case x of)- (%~) SCU SCB = Disproved (\ x -> case x of)- (%~) SCU SCC = Disproved (\ x -> case x of)- (%~) SCU SCD = Disproved (\ x -> case x of)- (%~) SCU SCE = Disproved (\ x -> case x of)- (%~) SCU SCF = Disproved (\ x -> case x of)- (%~) SCU SCG = Disproved (\ x -> case x of)- (%~) SCU SCH = Disproved (\ x -> case x of)- (%~) SCU SCI = Disproved (\ x -> case x of)- (%~) SCU SCJ = Disproved (\ x -> case x of)- (%~) SCU SCK = Disproved (\ x -> case x of)- (%~) SCU SCL = Disproved (\ x -> case x of)- (%~) SCU SCM = Disproved (\ x -> case x of)- (%~) SCU SCN = Disproved (\ x -> case x of)- (%~) SCU SCO = Disproved (\ x -> case x of)- (%~) SCU SCP = Disproved (\ x -> case x of)- (%~) SCU SCQ = Disproved (\ x -> case x of)- (%~) SCU SCR = Disproved (\ x -> case x of)- (%~) SCU SCS = Disproved (\ x -> case x of)- (%~) SCU SCT = Disproved (\ x -> case x of)- (%~) SCU SCU = Proved Refl- (%~) SCU SCV = Disproved (\ x -> case x of)- (%~) SCU SCW = Disproved (\ x -> case x of)- (%~) SCU SCX = Disproved (\ x -> case x of)- (%~) SCU SCY = Disproved (\ x -> case x of)- (%~) SCU SCZ = Disproved (\ x -> case x of)- (%~) SCV SCA = Disproved (\ x -> case x of)- (%~) SCV SCB = Disproved (\ x -> case x of)- (%~) SCV SCC = Disproved (\ x -> case x of)- (%~) SCV SCD = Disproved (\ x -> case x of)- (%~) SCV SCE = Disproved (\ x -> case x of)- (%~) SCV SCF = Disproved (\ x -> case x of)- (%~) SCV SCG = Disproved (\ x -> case x of)- (%~) SCV SCH = Disproved (\ x -> case x of)- (%~) SCV SCI = Disproved (\ x -> case x of)- (%~) SCV SCJ = Disproved (\ x -> case x of)- (%~) SCV SCK = Disproved (\ x -> case x of)- (%~) SCV SCL = Disproved (\ x -> case x of)- (%~) SCV SCM = Disproved (\ x -> case x of)- (%~) SCV SCN = Disproved (\ x -> case x of)- (%~) SCV SCO = Disproved (\ x -> case x of)- (%~) SCV SCP = Disproved (\ x -> case x of)- (%~) SCV SCQ = Disproved (\ x -> case x of)- (%~) SCV SCR = Disproved (\ x -> case x of)- (%~) SCV SCS = Disproved (\ x -> case x of)- (%~) SCV SCT = Disproved (\ x -> case x of)- (%~) SCV SCU = Disproved (\ x -> case x of)- (%~) SCV SCV = Proved Refl- (%~) SCV SCW = Disproved (\ x -> case x of)- (%~) SCV SCX = Disproved (\ x -> case x of)- (%~) SCV SCY = Disproved (\ x -> case x of)- (%~) SCV SCZ = Disproved (\ x -> case x of)- (%~) SCW SCA = Disproved (\ x -> case x of)- (%~) SCW SCB = Disproved (\ x -> case x of)- (%~) SCW SCC = Disproved (\ x -> case x of)- (%~) SCW SCD = Disproved (\ x -> case x of)- (%~) SCW SCE = Disproved (\ x -> case x of)- (%~) SCW SCF = Disproved (\ x -> case x of)- (%~) SCW SCG = Disproved (\ x -> case x of)- (%~) SCW SCH = Disproved (\ x -> case x of)- (%~) SCW SCI = Disproved (\ x -> case x of)- (%~) SCW SCJ = Disproved (\ x -> case x of)- (%~) SCW SCK = Disproved (\ x -> case x of)- (%~) SCW SCL = Disproved (\ x -> case x of)- (%~) SCW SCM = Disproved (\ x -> case x of)- (%~) SCW SCN = Disproved (\ x -> case x of)- (%~) SCW SCO = Disproved (\ x -> case x of)- (%~) SCW SCP = Disproved (\ x -> case x of)- (%~) SCW SCQ = Disproved (\ x -> case x of)- (%~) SCW SCR = Disproved (\ x -> case x of)- (%~) SCW SCS = Disproved (\ x -> case x of)- (%~) SCW SCT = Disproved (\ x -> case x of)- (%~) SCW SCU = Disproved (\ x -> case x of)- (%~) SCW SCV = Disproved (\ x -> case x of)- (%~) SCW SCW = Proved Refl- (%~) SCW SCX = Disproved (\ x -> case x of)- (%~) SCW SCY = Disproved (\ x -> case x of)- (%~) SCW SCZ = Disproved (\ x -> case x of)- (%~) SCX SCA = Disproved (\ x -> case x of)- (%~) SCX SCB = Disproved (\ x -> case x of)- (%~) SCX SCC = Disproved (\ x -> case x of)- (%~) SCX SCD = Disproved (\ x -> case x of)- (%~) SCX SCE = Disproved (\ x -> case x of)- (%~) SCX SCF = Disproved (\ x -> case x of)- (%~) SCX SCG = Disproved (\ x -> case x of)- (%~) SCX SCH = Disproved (\ x -> case x of)- (%~) SCX SCI = Disproved (\ x -> case x of)- (%~) SCX SCJ = Disproved (\ x -> case x of)- (%~) SCX SCK = Disproved (\ x -> case x of)- (%~) SCX SCL = Disproved (\ x -> case x of)- (%~) SCX SCM = Disproved (\ x -> case x of)- (%~) SCX SCN = Disproved (\ x -> case x of)- (%~) SCX SCO = Disproved (\ x -> case x of)- (%~) SCX SCP = Disproved (\ x -> case x of)- (%~) SCX SCQ = Disproved (\ x -> case x of)- (%~) SCX SCR = Disproved (\ x -> case x of)- (%~) SCX SCS = Disproved (\ x -> case x of)- (%~) SCX SCT = Disproved (\ x -> case x of)- (%~) SCX SCU = Disproved (\ x -> case x of)- (%~) SCX SCV = Disproved (\ x -> case x of)- (%~) SCX SCW = Disproved (\ x -> case x of)- (%~) SCX SCX = Proved Refl- (%~) SCX SCY = Disproved (\ x -> case x of)- (%~) SCX SCZ = Disproved (\ x -> case x of)- (%~) SCY SCA = Disproved (\ x -> case x of)- (%~) SCY SCB = Disproved (\ x -> case x of)- (%~) SCY SCC = Disproved (\ x -> case x of)- (%~) SCY SCD = Disproved (\ x -> case x of)- (%~) SCY SCE = Disproved (\ x -> case x of)- (%~) SCY SCF = Disproved (\ x -> case x of)- (%~) SCY SCG = Disproved (\ x -> case x of)- (%~) SCY SCH = Disproved (\ x -> case x of)- (%~) SCY SCI = Disproved (\ x -> case x of)- (%~) SCY SCJ = Disproved (\ x -> case x of)- (%~) SCY SCK = Disproved (\ x -> case x of)- (%~) SCY SCL = Disproved (\ x -> case x of)- (%~) SCY SCM = Disproved (\ x -> case x of)- (%~) SCY SCN = Disproved (\ x -> case x of)- (%~) SCY SCO = Disproved (\ x -> case x of)- (%~) SCY SCP = Disproved (\ x -> case x of)- (%~) SCY SCQ = Disproved (\ x -> case x of)- (%~) SCY SCR = Disproved (\ x -> case x of)- (%~) SCY SCS = Disproved (\ x -> case x of)- (%~) SCY SCT = Disproved (\ x -> case x of)- (%~) SCY SCU = Disproved (\ x -> case x of)- (%~) SCY SCV = Disproved (\ x -> case x of)- (%~) SCY SCW = Disproved (\ x -> case x of)- (%~) SCY SCX = Disproved (\ x -> case x of)- (%~) SCY SCY = Proved Refl- (%~) SCY SCZ = Disproved (\ x -> case x of)- (%~) SCZ SCA = Disproved (\ x -> case x of)- (%~) SCZ SCB = Disproved (\ x -> case x of)- (%~) SCZ SCC = Disproved (\ x -> case x of)- (%~) SCZ SCD = Disproved (\ x -> case x of)- (%~) SCZ SCE = Disproved (\ x -> case x of)- (%~) SCZ SCF = Disproved (\ x -> case x of)- (%~) SCZ SCG = Disproved (\ x -> case x of)- (%~) SCZ SCH = Disproved (\ x -> case x of)- (%~) SCZ SCI = Disproved (\ x -> case x of)- (%~) SCZ SCJ = Disproved (\ x -> case x of)- (%~) SCZ SCK = Disproved (\ x -> case x of)- (%~) SCZ SCL = Disproved (\ x -> case x of)- (%~) SCZ SCM = Disproved (\ x -> case x of)- (%~) SCZ SCN = Disproved (\ x -> case x of)- (%~) SCZ SCO = Disproved (\ x -> case x of)- (%~) SCZ SCP = Disproved (\ x -> case x of)- (%~) SCZ SCQ = Disproved (\ x -> case x of)- (%~) SCZ SCR = Disproved (\ x -> case x of)- (%~) SCZ SCS = Disproved (\ x -> case x of)- (%~) SCZ SCT = Disproved (\ x -> case x of)- (%~) SCZ SCU = Disproved (\ x -> case x of)- (%~) SCZ SCV = Disproved (\ x -> case x of)- (%~) SCZ SCW = Disproved (\ x -> case x of)- (%~) SCZ SCX = Disproved (\ x -> case x of)- (%~) SCZ SCY = Disproved (\ x -> case x of)- (%~) SCZ SCZ = Proved Refl- instance (Data.Singletons.ShowSing.ShowSing U,- Data.Singletons.ShowSing.ShowSing Nat) =>- Data.Singletons.ShowSing.ShowSing U where- Data.Singletons.ShowSing.showsSingPrec _ SBOOL = showString "SBOOL"- Data.Singletons.ShowSing.showsSingPrec _ SSTRING- = showString "SSTRING"- Data.Singletons.ShowSing.showsSingPrec _ SNAT = showString "SNAT"- Data.Singletons.ShowSing.showsSingPrec- p_0123456789876543210- (SVEC arg_0123456789876543210 arg_0123456789876543210)- = (showParen (((>) p_0123456789876543210) 10))- (((.) (showString "SVEC "))- (((.)- ((Data.Singletons.ShowSing.showsSingPrec 11)- arg_0123456789876543210))- (((.) GHC.Show.showSpace)- ((Data.Singletons.ShowSing.showsSingPrec 11)- arg_0123456789876543210))))- instance (Data.Singletons.ShowSing.ShowSing U,- Data.Singletons.ShowSing.ShowSing Nat) =>- Show (Sing (z :: U)) where- showsPrec = Data.Singletons.ShowSing.showsSingPrec- instance Data.Singletons.ShowSing.ShowSing AChar where- Data.Singletons.ShowSing.showsSingPrec _ SCA = showString "SCA"- Data.Singletons.ShowSing.showsSingPrec _ SCB = showString "SCB"- Data.Singletons.ShowSing.showsSingPrec _ SCC = showString "SCC"- Data.Singletons.ShowSing.showsSingPrec _ SCD = showString "SCD"- Data.Singletons.ShowSing.showsSingPrec _ SCE = showString "SCE"- Data.Singletons.ShowSing.showsSingPrec _ SCF = showString "SCF"- Data.Singletons.ShowSing.showsSingPrec _ SCG = showString "SCG"- Data.Singletons.ShowSing.showsSingPrec _ SCH = showString "SCH"- Data.Singletons.ShowSing.showsSingPrec _ SCI = showString "SCI"- Data.Singletons.ShowSing.showsSingPrec _ SCJ = showString "SCJ"- Data.Singletons.ShowSing.showsSingPrec _ SCK = showString "SCK"- Data.Singletons.ShowSing.showsSingPrec _ SCL = showString "SCL"- Data.Singletons.ShowSing.showsSingPrec _ SCM = showString "SCM"- Data.Singletons.ShowSing.showsSingPrec _ SCN = showString "SCN"- Data.Singletons.ShowSing.showsSingPrec _ SCO = showString "SCO"- Data.Singletons.ShowSing.showsSingPrec _ SCP = showString "SCP"- Data.Singletons.ShowSing.showsSingPrec _ SCQ = showString "SCQ"- Data.Singletons.ShowSing.showsSingPrec _ SCR = showString "SCR"- Data.Singletons.ShowSing.showsSingPrec _ SCS = showString "SCS"- Data.Singletons.ShowSing.showsSingPrec _ SCT = showString "SCT"- Data.Singletons.ShowSing.showsSingPrec _ SCU = showString "SCU"- Data.Singletons.ShowSing.showsSingPrec _ SCV = showString "SCV"- Data.Singletons.ShowSing.showsSingPrec _ SCW = showString "SCW"- Data.Singletons.ShowSing.showsSingPrec _ SCX = showString "SCX"- Data.Singletons.ShowSing.showsSingPrec _ SCY = showString "SCY"- Data.Singletons.ShowSing.showsSingPrec _ SCZ = showString "SCZ"- instance Show (Sing (z :: AChar)) where- showsPrec = Data.Singletons.ShowSing.showsSingPrec- instance SingI BOOL where- sing = SBOOL- instance SingI STRING where- sing = SSTRING- instance SingI NAT where- sing = SNAT- instance (SingI n, SingI n) =>- SingI (VEC (n :: U) (n :: Nat)) where- sing = (SVEC sing) sing- instance SingI CA where- sing = SCA- instance SingI CB where- sing = SCB- instance SingI CC where- sing = SCC- instance SingI CD where- sing = SCD- instance SingI CE where- sing = SCE- instance SingI CF where- sing = SCF- instance SingI CG where- sing = SCG- instance SingI CH where- sing = SCH- instance SingI CI where- sing = SCI- instance SingI CJ where- sing = SCJ- instance SingI CK where- sing = SCK- instance SingI CL where- sing = SCL- instance SingI CM where- sing = SCM- instance SingI CN where- sing = SCN- instance SingI CO where- sing = SCO- instance SingI CP where- sing = SCP- instance SingI CQ where- sing = SCQ- instance SingI CR where- sing = SCR- instance SingI CS where- sing = SCS- instance SingI CT where- sing = SCT- instance SingI CU where- sing = SCU- instance SingI CV where- sing = SCV- instance SingI CW where- sing = SCW- instance SingI CX where- sing = SCX- instance SingI CY where- sing = SCY- instance SingI CZ where- sing = SCZ- instance (SingI n, SingI n) =>- SingI (Attr (n :: [AChar]) (n :: U)) where- sing = (SAttr sing) sing- instance SingI n => SingI (Sch (n :: [Attribute])) where- sing = SSch sing-GradingClient/Database.hs:0:0:: Splicing declarations- return [] ======>-GradingClient/Database.hs:(0,0)-(0,0): Splicing expression- cases ''Row [| r |] [| changeId (n ++ (getId r)) r |]- ======>- case r of- EmptyRow _ -> (changeId (((++) n) (getId r))) r- ConsRow _ _ -> (changeId (((++) n) (getId r))) r
+ tests/compile-and-dump/GradingClient/Database.ghc86.template view
@@ -0,0 +1,2610 @@+GradingClient/Database.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| data Nat+ = Zero | Succ Nat+ deriving (Eq, Ord) |]+ ======>+ data Nat+ = Zero | Succ Nat+ deriving (Eq, Ord)+ type ZeroSym0 = Zero+ type SuccSym1 (t0123456789876543210 :: Nat) =+ Succ t0123456789876543210+ instance SuppressUnusedWarnings SuccSym0 where+ suppressUnusedWarnings = snd (((,) SuccSym0KindInference) ())+ data SuccSym0 :: (~>) Nat Nat+ where+ SuccSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply SuccSym0 arg) (SuccSym1 arg) =>+ SuccSym0 t0123456789876543210+ type instance Apply SuccSym0 t0123456789876543210 = Succ t0123456789876543210+ type family Compare_0123456789876543210 (a :: Nat) (a :: Nat) :: Ordering where+ Compare_0123456789876543210 Zero Zero = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) '[]+ Compare_0123456789876543210 (Succ a_0123456789876543210) (Succ b_0123456789876543210) = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) '[])+ Compare_0123456789876543210 Zero (Succ _) = LTSym0+ Compare_0123456789876543210 (Succ _) Zero = GTSym0+ type Compare_0123456789876543210Sym2 (a0123456789876543210 :: Nat) (a0123456789876543210 :: Nat) =+ Compare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Compare_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Compare_0123456789876543210Sym1KindInference) ())+ data Compare_0123456789876543210Sym1 (a0123456789876543210 :: Nat) :: (~>) Nat Ordering+ where+ Compare_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Compare_0123456789876543210Sym1 a0123456789876543210) arg) (Compare_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Compare_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Compare_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = Compare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Compare_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Compare_0123456789876543210Sym0KindInference) ())+ data Compare_0123456789876543210Sym0 :: (~>) Nat ((~>) Nat Ordering)+ where+ Compare_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Compare_0123456789876543210Sym0 arg) (Compare_0123456789876543210Sym1 arg) =>+ Compare_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Compare_0123456789876543210Sym0 a0123456789876543210 = Compare_0123456789876543210Sym1 a0123456789876543210+ instance POrd Nat where+ type Compare a a = Apply (Apply Compare_0123456789876543210Sym0 a) a+ type family Equals_0123456789876543210 (a :: Nat) (b :: Nat) :: Bool where+ Equals_0123456789876543210 Zero Zero = TrueSym0+ Equals_0123456789876543210 (Succ a) (Succ b) = (==) a b+ Equals_0123456789876543210 (_ :: Nat) (_ :: Nat) = FalseSym0+ instance PEq Nat where+ type (==) a b = Equals_0123456789876543210 a b+ data instance Sing :: Nat -> Type+ where+ SZero :: Sing Zero+ SSucc :: forall (n :: Nat). (Sing (n :: Nat)) -> Sing (Succ n)+ type SNat = (Sing :: Nat -> Type)+ instance SingKind Nat where+ type Demote Nat = Nat+ fromSing SZero = Zero+ fromSing (SSucc b) = Succ (fromSing b)+ toSing Zero = SomeSing SZero+ toSing (Succ (b :: Demote Nat))+ = case toSing b :: SomeSing Nat of {+ SomeSing c -> SomeSing (SSucc c) }+ instance SOrd Nat => SOrd Nat where+ sCompare ::+ forall (t1 :: Nat) (t2 :: Nat).+ Sing t1+ -> Sing t2+ -> Sing (Apply (Apply (CompareSym0 :: TyFun Nat ((~>) Nat Ordering)+ -> Type) t1) t2)+ sCompare SZero SZero+ = (applySing+ ((applySing+ ((applySing ((singFun3 @FoldlSym0) sFoldl))+ ((singFun2 @ThenCmpSym0) sThenCmp)))+ SEQ))+ SNil+ sCompare+ (SSucc (sA_0123456789876543210 :: Sing a_0123456789876543210))+ (SSucc (sB_0123456789876543210 :: Sing b_0123456789876543210))+ = (applySing+ ((applySing+ ((applySing ((singFun3 @FoldlSym0) sFoldl))+ ((singFun2 @ThenCmpSym0) sThenCmp)))+ SEQ))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ SNil)+ sCompare SZero (SSucc _) = SLT+ sCompare (SSucc _) SZero = SGT+ instance SEq Nat => SEq Nat where+ (%==) SZero SZero = STrue+ (%==) SZero (SSucc _) = SFalse+ (%==) (SSucc _) SZero = SFalse+ (%==) (SSucc a) (SSucc b) = ((%==) a) b+ instance SDecide Nat => SDecide Nat where+ (%~) SZero SZero = Proved Refl+ (%~) SZero (SSucc _) = Disproved (\ x -> case x of)+ (%~) (SSucc _) SZero = Disproved (\ x -> case x of)+ (%~) (SSucc a) (SSucc b)+ = case ((%~) a) b of+ Proved Refl -> Proved Refl+ Disproved contra+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ instance SingI Zero where+ sing = SZero+ instance SingI n => SingI (Succ (n :: Nat)) where+ sing = SSucc sing+ instance SingI (SuccSym0 :: (~>) Nat Nat) where+ sing = (singFun1 @SuccSym0) SSucc+ instance SingI (TyCon1 Succ :: (~>) Nat Nat) where+ sing = (singFun1 @(TyCon1 Succ)) SSucc+GradingClient/Database.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| append :: Schema -> Schema -> Schema+ append (Sch s1) (Sch s2) = Sch (s1 ++ s2)+ attrNotIn :: Attribute -> Schema -> Bool+ attrNotIn _ (Sch []) = True+ attrNotIn (Attr name u) (Sch ((Attr name' _) : t))+ = (name /= name') && (attrNotIn (Attr name u) (Sch t))+ disjoint :: Schema -> Schema -> Bool+ disjoint (Sch []) _ = True+ disjoint (Sch (h : t)) s = (attrNotIn h s) && (disjoint (Sch t) s)+ occurs :: [AChar] -> Schema -> Bool+ occurs _ (Sch []) = False+ occurs name (Sch ((Attr name' _) : attrs))+ = name == name' || occurs name (Sch attrs)+ lookup :: [AChar] -> Schema -> U+ lookup _ (Sch []) = undefined+ lookup name (Sch ((Attr name' u) : attrs))+ = if name == name' then u else lookup name (Sch attrs)+ + data U+ = BOOL | STRING | NAT | VEC U Nat+ deriving (Read, Eq, Show)+ data AChar+ = CA |+ CB |+ CC |+ CD |+ CE |+ CF |+ CG |+ CH |+ CI |+ CJ |+ CK |+ CL |+ CM |+ CN |+ CO |+ CP |+ CQ |+ CR |+ CS |+ CT |+ CU |+ CV |+ CW |+ CX |+ CY |+ CZ+ deriving (Read, Show, Eq)+ data Attribute = Attr [AChar] U+ data Schema = Sch [Attribute] |]+ ======>+ data U+ = BOOL | STRING | NAT | VEC U Nat+ deriving (Read, Eq, Show)+ data AChar+ = CA |+ CB |+ CC |+ CD |+ CE |+ CF |+ CG |+ CH |+ CI |+ CJ |+ CK |+ CL |+ CM |+ CN |+ CO |+ CP |+ CQ |+ CR |+ CS |+ CT |+ CU |+ CV |+ CW |+ CX |+ CY |+ CZ+ deriving (Read, Show, Eq)+ data Attribute = Attr [AChar] U+ data Schema = Sch [Attribute]+ append :: Schema -> Schema -> Schema+ append (Sch s1) (Sch s2) = Sch (s1 ++ s2)+ attrNotIn :: Attribute -> Schema -> Bool+ attrNotIn _ (Sch []) = True+ attrNotIn (Attr name u) (Sch (Attr name' _ : t))+ = ((name /= name') && (attrNotIn ((Attr name) u)) (Sch t))+ disjoint :: Schema -> Schema -> Bool+ disjoint (Sch []) _ = True+ disjoint (Sch (h : t)) s+ = ((attrNotIn h) s && (disjoint (Sch t)) s)+ occurs :: [AChar] -> Schema -> Bool+ occurs _ (Sch []) = False+ occurs name (Sch (Attr name' _ : attrs))+ = ((name == name') || (occurs name) (Sch attrs))+ lookup :: [AChar] -> Schema -> U+ lookup _ (Sch []) = undefined+ lookup name (Sch (Attr name' u : attrs))+ = if (name == name') then u else (lookup name) (Sch attrs)+ type BOOLSym0 = BOOL+ type STRINGSym0 = STRING+ type NATSym0 = NAT+ type VECSym2 (t0123456789876543210 :: U) (t0123456789876543210 :: Nat) =+ VEC t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (VECSym1 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) VECSym1KindInference) ())+ data VECSym1 (t0123456789876543210 :: U) :: (~>) Nat U+ where+ VECSym1KindInference :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (VECSym1 t0123456789876543210) arg) (VECSym2 t0123456789876543210 arg) =>+ VECSym1 t0123456789876543210 t0123456789876543210+ type instance Apply (VECSym1 t0123456789876543210) t0123456789876543210 = VEC t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings VECSym0 where+ suppressUnusedWarnings = snd (((,) VECSym0KindInference) ())+ data VECSym0 :: (~>) U ((~>) Nat U)+ where+ VECSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply VECSym0 arg) (VECSym1 arg) =>+ VECSym0 t0123456789876543210+ type instance Apply VECSym0 t0123456789876543210 = VECSym1 t0123456789876543210+ type CASym0 = CA+ type CBSym0 = CB+ type CCSym0 = CC+ type CDSym0 = CD+ type CESym0 = CE+ type CFSym0 = CF+ type CGSym0 = CG+ type CHSym0 = CH+ type CISym0 = CI+ type CJSym0 = CJ+ type CKSym0 = CK+ type CLSym0 = CL+ type CMSym0 = CM+ type CNSym0 = CN+ type COSym0 = CO+ type CPSym0 = CP+ type CQSym0 = CQ+ type CRSym0 = CR+ type CSSym0 = CS+ type CTSym0 = CT+ type CUSym0 = CU+ type CVSym0 = CV+ type CWSym0 = CW+ type CXSym0 = CX+ type CYSym0 = CY+ type CZSym0 = CZ+ type AttrSym2 (t0123456789876543210 :: [AChar]) (t0123456789876543210 :: U) =+ Attr t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (AttrSym1 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) AttrSym1KindInference) ())+ data AttrSym1 (t0123456789876543210 :: [AChar]) :: (~>) U Attribute+ where+ AttrSym1KindInference :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (AttrSym1 t0123456789876543210) arg) (AttrSym2 t0123456789876543210 arg) =>+ AttrSym1 t0123456789876543210 t0123456789876543210+ type instance Apply (AttrSym1 t0123456789876543210) t0123456789876543210 = Attr t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings AttrSym0 where+ suppressUnusedWarnings = snd (((,) AttrSym0KindInference) ())+ data AttrSym0 :: (~>) [AChar] ((~>) U Attribute)+ where+ AttrSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply AttrSym0 arg) (AttrSym1 arg) =>+ AttrSym0 t0123456789876543210+ type instance Apply AttrSym0 t0123456789876543210 = AttrSym1 t0123456789876543210+ type SchSym1 (t0123456789876543210 :: [Attribute]) =+ Sch t0123456789876543210+ instance SuppressUnusedWarnings SchSym0 where+ suppressUnusedWarnings = snd (((,) SchSym0KindInference) ())+ data SchSym0 :: (~>) [Attribute] Schema+ where+ SchSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply SchSym0 arg) (SchSym1 arg) =>+ SchSym0 t0123456789876543210+ type instance Apply SchSym0 t0123456789876543210 = Sch t0123456789876543210+ type Let0123456789876543210Scrutinee_0123456789876543210Sym4 name0123456789876543210 name'0123456789876543210 u0123456789876543210 attrs0123456789876543210 =+ Let0123456789876543210Scrutinee_0123456789876543210 name0123456789876543210 name'0123456789876543210 u0123456789876543210 attrs0123456789876543210+ instance SuppressUnusedWarnings (Let0123456789876543210Scrutinee_0123456789876543210Sym3 u0123456789876543210 name'0123456789876543210 name0123456789876543210) where+ suppressUnusedWarnings+ = snd+ (((,)+ Let0123456789876543210Scrutinee_0123456789876543210Sym3KindInference)+ ())+ data Let0123456789876543210Scrutinee_0123456789876543210Sym3 name0123456789876543210 name'0123456789876543210 u0123456789876543210 attrs0123456789876543210+ where+ Let0123456789876543210Scrutinee_0123456789876543210Sym3KindInference :: forall name0123456789876543210+ name'0123456789876543210+ u0123456789876543210+ attrs0123456789876543210+ arg. SameKind (Apply (Let0123456789876543210Scrutinee_0123456789876543210Sym3 name0123456789876543210 name'0123456789876543210 u0123456789876543210) arg) (Let0123456789876543210Scrutinee_0123456789876543210Sym4 name0123456789876543210 name'0123456789876543210 u0123456789876543210 arg) =>+ Let0123456789876543210Scrutinee_0123456789876543210Sym3 name0123456789876543210 name'0123456789876543210 u0123456789876543210 attrs0123456789876543210+ type instance Apply (Let0123456789876543210Scrutinee_0123456789876543210Sym3 u0123456789876543210 name'0123456789876543210 name0123456789876543210) attrs0123456789876543210 = Let0123456789876543210Scrutinee_0123456789876543210 u0123456789876543210 name'0123456789876543210 name0123456789876543210 attrs0123456789876543210+ instance SuppressUnusedWarnings (Let0123456789876543210Scrutinee_0123456789876543210Sym2 name'0123456789876543210 name0123456789876543210) where+ suppressUnusedWarnings+ = snd+ (((,)+ Let0123456789876543210Scrutinee_0123456789876543210Sym2KindInference)+ ())+ data Let0123456789876543210Scrutinee_0123456789876543210Sym2 name0123456789876543210 name'0123456789876543210 u0123456789876543210+ where+ Let0123456789876543210Scrutinee_0123456789876543210Sym2KindInference :: forall name0123456789876543210+ name'0123456789876543210+ u0123456789876543210+ arg. SameKind (Apply (Let0123456789876543210Scrutinee_0123456789876543210Sym2 name0123456789876543210 name'0123456789876543210) arg) (Let0123456789876543210Scrutinee_0123456789876543210Sym3 name0123456789876543210 name'0123456789876543210 arg) =>+ Let0123456789876543210Scrutinee_0123456789876543210Sym2 name0123456789876543210 name'0123456789876543210 u0123456789876543210+ type instance Apply (Let0123456789876543210Scrutinee_0123456789876543210Sym2 name'0123456789876543210 name0123456789876543210) u0123456789876543210 = Let0123456789876543210Scrutinee_0123456789876543210Sym3 name'0123456789876543210 name0123456789876543210 u0123456789876543210+ instance SuppressUnusedWarnings (Let0123456789876543210Scrutinee_0123456789876543210Sym1 name0123456789876543210) where+ suppressUnusedWarnings+ = snd+ (((,)+ Let0123456789876543210Scrutinee_0123456789876543210Sym1KindInference)+ ())+ data Let0123456789876543210Scrutinee_0123456789876543210Sym1 name0123456789876543210 name'0123456789876543210+ where+ Let0123456789876543210Scrutinee_0123456789876543210Sym1KindInference :: forall name0123456789876543210+ name'0123456789876543210+ arg. SameKind (Apply (Let0123456789876543210Scrutinee_0123456789876543210Sym1 name0123456789876543210) arg) (Let0123456789876543210Scrutinee_0123456789876543210Sym2 name0123456789876543210 arg) =>+ Let0123456789876543210Scrutinee_0123456789876543210Sym1 name0123456789876543210 name'0123456789876543210+ type instance Apply (Let0123456789876543210Scrutinee_0123456789876543210Sym1 name0123456789876543210) name'0123456789876543210 = Let0123456789876543210Scrutinee_0123456789876543210Sym2 name0123456789876543210 name'0123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210Scrutinee_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd+ (((,)+ Let0123456789876543210Scrutinee_0123456789876543210Sym0KindInference)+ ())+ data Let0123456789876543210Scrutinee_0123456789876543210Sym0 name0123456789876543210+ where+ Let0123456789876543210Scrutinee_0123456789876543210Sym0KindInference :: forall name0123456789876543210+ arg. SameKind (Apply Let0123456789876543210Scrutinee_0123456789876543210Sym0 arg) (Let0123456789876543210Scrutinee_0123456789876543210Sym1 arg) =>+ Let0123456789876543210Scrutinee_0123456789876543210Sym0 name0123456789876543210+ type instance Apply Let0123456789876543210Scrutinee_0123456789876543210Sym0 name0123456789876543210 = Let0123456789876543210Scrutinee_0123456789876543210Sym1 name0123456789876543210+ type family Let0123456789876543210Scrutinee_0123456789876543210 name name' u attrs where+ Let0123456789876543210Scrutinee_0123456789876543210 name name' u attrs = Apply (Apply (==@#@$) name) name'+ type family Case_0123456789876543210 name name' u attrs t where+ Case_0123456789876543210 name name' u attrs 'True = u+ Case_0123456789876543210 name name' u attrs 'False = Apply (Apply LookupSym0 name) (Apply SchSym0 attrs)+ type LookupSym2 (a0123456789876543210 :: [AChar]) (a0123456789876543210 :: Schema) =+ Lookup a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (LookupSym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) LookupSym1KindInference) ())+ data LookupSym1 (a0123456789876543210 :: [AChar]) :: (~>) Schema U+ where+ LookupSym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (LookupSym1 a0123456789876543210) arg) (LookupSym2 a0123456789876543210 arg) =>+ LookupSym1 a0123456789876543210 a0123456789876543210+ type instance Apply (LookupSym1 a0123456789876543210) a0123456789876543210 = Lookup a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings LookupSym0 where+ suppressUnusedWarnings = snd (((,) LookupSym0KindInference) ())+ data LookupSym0 :: (~>) [AChar] ((~>) Schema U)+ where+ LookupSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply LookupSym0 arg) (LookupSym1 arg) =>+ LookupSym0 a0123456789876543210+ type instance Apply LookupSym0 a0123456789876543210 = LookupSym1 a0123456789876543210+ type OccursSym2 (a0123456789876543210 :: [AChar]) (a0123456789876543210 :: Schema) =+ Occurs a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (OccursSym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) OccursSym1KindInference) ())+ data OccursSym1 (a0123456789876543210 :: [AChar]) :: (~>) Schema Bool+ where+ OccursSym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (OccursSym1 a0123456789876543210) arg) (OccursSym2 a0123456789876543210 arg) =>+ OccursSym1 a0123456789876543210 a0123456789876543210+ type instance Apply (OccursSym1 a0123456789876543210) a0123456789876543210 = Occurs a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings OccursSym0 where+ suppressUnusedWarnings = snd (((,) OccursSym0KindInference) ())+ data OccursSym0 :: (~>) [AChar] ((~>) Schema Bool)+ where+ OccursSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply OccursSym0 arg) (OccursSym1 arg) =>+ OccursSym0 a0123456789876543210+ type instance Apply OccursSym0 a0123456789876543210 = OccursSym1 a0123456789876543210+ type AttrNotInSym2 (a0123456789876543210 :: Attribute) (a0123456789876543210 :: Schema) =+ AttrNotIn a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (AttrNotInSym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) AttrNotInSym1KindInference) ())+ data AttrNotInSym1 (a0123456789876543210 :: Attribute) :: (~>) Schema Bool+ where+ AttrNotInSym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (AttrNotInSym1 a0123456789876543210) arg) (AttrNotInSym2 a0123456789876543210 arg) =>+ AttrNotInSym1 a0123456789876543210 a0123456789876543210+ type instance Apply (AttrNotInSym1 a0123456789876543210) a0123456789876543210 = AttrNotIn a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings AttrNotInSym0 where+ suppressUnusedWarnings = snd (((,) AttrNotInSym0KindInference) ())+ data AttrNotInSym0 :: (~>) Attribute ((~>) Schema Bool)+ where+ AttrNotInSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply AttrNotInSym0 arg) (AttrNotInSym1 arg) =>+ AttrNotInSym0 a0123456789876543210+ type instance Apply AttrNotInSym0 a0123456789876543210 = AttrNotInSym1 a0123456789876543210+ type DisjointSym2 (a0123456789876543210 :: Schema) (a0123456789876543210 :: Schema) =+ Disjoint a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (DisjointSym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) DisjointSym1KindInference) ())+ data DisjointSym1 (a0123456789876543210 :: Schema) :: (~>) Schema Bool+ where+ DisjointSym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (DisjointSym1 a0123456789876543210) arg) (DisjointSym2 a0123456789876543210 arg) =>+ DisjointSym1 a0123456789876543210 a0123456789876543210+ type instance Apply (DisjointSym1 a0123456789876543210) a0123456789876543210 = Disjoint a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings DisjointSym0 where+ suppressUnusedWarnings = snd (((,) DisjointSym0KindInference) ())+ data DisjointSym0 :: (~>) Schema ((~>) Schema Bool)+ where+ DisjointSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply DisjointSym0 arg) (DisjointSym1 arg) =>+ DisjointSym0 a0123456789876543210+ type instance Apply DisjointSym0 a0123456789876543210 = DisjointSym1 a0123456789876543210+ type AppendSym2 (a0123456789876543210 :: Schema) (a0123456789876543210 :: Schema) =+ Append a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (AppendSym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) AppendSym1KindInference) ())+ data AppendSym1 (a0123456789876543210 :: Schema) :: (~>) Schema Schema+ where+ AppendSym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (AppendSym1 a0123456789876543210) arg) (AppendSym2 a0123456789876543210 arg) =>+ AppendSym1 a0123456789876543210 a0123456789876543210+ type instance Apply (AppendSym1 a0123456789876543210) a0123456789876543210 = Append a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings AppendSym0 where+ suppressUnusedWarnings = snd (((,) AppendSym0KindInference) ())+ data AppendSym0 :: (~>) Schema ((~>) Schema Schema)+ where+ AppendSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply AppendSym0 arg) (AppendSym1 arg) =>+ AppendSym0 a0123456789876543210+ type instance Apply AppendSym0 a0123456789876543210 = AppendSym1 a0123456789876543210+ type family Lookup (a :: [AChar]) (a :: Schema) :: U where+ Lookup _ (Sch '[]) = UndefinedSym0+ Lookup name (Sch ( '(:) (Attr name' u) attrs)) = Case_0123456789876543210 name name' u attrs (Let0123456789876543210Scrutinee_0123456789876543210Sym4 name name' u attrs)+ type family Occurs (a :: [AChar]) (a :: Schema) :: Bool where+ Occurs _ (Sch '[]) = FalseSym0+ Occurs name (Sch ( '(:) (Attr name' _) attrs)) = Apply (Apply (||@#@$) (Apply (Apply (==@#@$) name) name')) (Apply (Apply OccursSym0 name) (Apply SchSym0 attrs))+ type family AttrNotIn (a :: Attribute) (a :: Schema) :: Bool where+ AttrNotIn _ (Sch '[]) = TrueSym0+ AttrNotIn (Attr name u) (Sch ( '(:) (Attr name' _) t)) = Apply (Apply (&&@#@$) (Apply (Apply (/=@#@$) name) name')) (Apply (Apply AttrNotInSym0 (Apply (Apply AttrSym0 name) u)) (Apply SchSym0 t))+ type family Disjoint (a :: Schema) (a :: Schema) :: Bool where+ Disjoint (Sch '[]) _ = TrueSym0+ Disjoint (Sch ( '(:) h t)) s = Apply (Apply (&&@#@$) (Apply (Apply AttrNotInSym0 h) s)) (Apply (Apply DisjointSym0 (Apply SchSym0 t)) s)+ type family Append (a :: Schema) (a :: Schema) :: Schema where+ Append (Sch s1) (Sch s2) = Apply SchSym0 (Apply (Apply (++@#@$) s1) s2)+ type family ShowsPrec_0123456789876543210 (a :: GHC.Types.Nat) (a :: U) (a :: Symbol) :: Symbol where+ ShowsPrec_0123456789876543210 _ BOOL a_0123456789876543210 = Apply (Apply ShowStringSym0 "BOOL") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ STRING a_0123456789876543210 = Apply (Apply ShowStringSym0 "STRING") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ NAT a_0123456789876543210 = Apply (Apply ShowStringSym0 "NAT") a_0123456789876543210+ ShowsPrec_0123456789876543210 p_0123456789876543210 (VEC arg_0123456789876543210 arg_0123456789876543210) a_0123456789876543210 = Apply (Apply (Apply ShowParenSym0 (Apply (Apply (>@#@$) p_0123456789876543210) (FromInteger 10))) (Apply (Apply (.@#@$) (Apply ShowStringSym0 "VEC ")) (Apply (Apply (.@#@$) (Apply (Apply ShowsPrecSym0 (FromInteger 11)) arg_0123456789876543210)) (Apply (Apply (.@#@$) ShowSpaceSym0) (Apply (Apply ShowsPrecSym0 (FromInteger 11)) arg_0123456789876543210))))) a_0123456789876543210+ type ShowsPrec_0123456789876543210Sym3 (a0123456789876543210 :: GHC.Types.Nat) (a0123456789876543210 :: U) (a0123456789876543210 :: Symbol) =+ ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym2KindInference) ())+ data ShowsPrec_0123456789876543210Sym2 (a0123456789876543210 :: GHC.Types.Nat) (a0123456789876543210 :: U) :: (~>) Symbol Symbol+ where+ ShowsPrec_0123456789876543210Sym2KindInference :: forall a0123456789876543210+ a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym3 a0123456789876543210 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym1KindInference) ())+ data ShowsPrec_0123456789876543210Sym1 (a0123456789876543210 :: GHC.Types.Nat) :: (~>) U ((~>) Symbol Symbol)+ where+ ShowsPrec_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym0KindInference) ())+ data ShowsPrec_0123456789876543210Sym0 :: (~>) GHC.Types.Nat ((~>) U ((~>) Symbol Symbol))+ where+ ShowsPrec_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>+ ShowsPrec_0123456789876543210Sym0 a0123456789876543210+ type instance Apply ShowsPrec_0123456789876543210Sym0 a0123456789876543210 = ShowsPrec_0123456789876543210Sym1 a0123456789876543210+ instance PShow U where+ type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a+ type family ShowsPrec_0123456789876543210 (a :: GHC.Types.Nat) (a :: AChar) (a :: Symbol) :: Symbol where+ ShowsPrec_0123456789876543210 _ CA a_0123456789876543210 = Apply (Apply ShowStringSym0 "CA") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ CB a_0123456789876543210 = Apply (Apply ShowStringSym0 "CB") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ CC a_0123456789876543210 = Apply (Apply ShowStringSym0 "CC") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ CD a_0123456789876543210 = Apply (Apply ShowStringSym0 "CD") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ CE a_0123456789876543210 = Apply (Apply ShowStringSym0 "CE") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ CF a_0123456789876543210 = Apply (Apply ShowStringSym0 "CF") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ CG a_0123456789876543210 = Apply (Apply ShowStringSym0 "CG") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ CH a_0123456789876543210 = Apply (Apply ShowStringSym0 "CH") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ CI a_0123456789876543210 = Apply (Apply ShowStringSym0 "CI") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ CJ a_0123456789876543210 = Apply (Apply ShowStringSym0 "CJ") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ CK a_0123456789876543210 = Apply (Apply ShowStringSym0 "CK") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ CL a_0123456789876543210 = Apply (Apply ShowStringSym0 "CL") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ CM a_0123456789876543210 = Apply (Apply ShowStringSym0 "CM") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ CN a_0123456789876543210 = Apply (Apply ShowStringSym0 "CN") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ CO a_0123456789876543210 = Apply (Apply ShowStringSym0 "CO") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ CP a_0123456789876543210 = Apply (Apply ShowStringSym0 "CP") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ CQ a_0123456789876543210 = Apply (Apply ShowStringSym0 "CQ") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ CR a_0123456789876543210 = Apply (Apply ShowStringSym0 "CR") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ CS a_0123456789876543210 = Apply (Apply ShowStringSym0 "CS") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ CT a_0123456789876543210 = Apply (Apply ShowStringSym0 "CT") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ CU a_0123456789876543210 = Apply (Apply ShowStringSym0 "CU") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ CV a_0123456789876543210 = Apply (Apply ShowStringSym0 "CV") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ CW a_0123456789876543210 = Apply (Apply ShowStringSym0 "CW") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ CX a_0123456789876543210 = Apply (Apply ShowStringSym0 "CX") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ CY a_0123456789876543210 = Apply (Apply ShowStringSym0 "CY") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ CZ a_0123456789876543210 = Apply (Apply ShowStringSym0 "CZ") a_0123456789876543210+ type ShowsPrec_0123456789876543210Sym3 (a0123456789876543210 :: GHC.Types.Nat) (a0123456789876543210 :: AChar) (a0123456789876543210 :: Symbol) =+ ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym2KindInference) ())+ data ShowsPrec_0123456789876543210Sym2 (a0123456789876543210 :: GHC.Types.Nat) (a0123456789876543210 :: AChar) :: (~>) Symbol Symbol+ where+ ShowsPrec_0123456789876543210Sym2KindInference :: forall a0123456789876543210+ a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym3 a0123456789876543210 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym1KindInference) ())+ data ShowsPrec_0123456789876543210Sym1 (a0123456789876543210 :: GHC.Types.Nat) :: (~>) AChar ((~>) Symbol Symbol)+ where+ ShowsPrec_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym0KindInference) ())+ data ShowsPrec_0123456789876543210Sym0 :: (~>) GHC.Types.Nat ((~>) AChar ((~>) Symbol Symbol))+ where+ ShowsPrec_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>+ ShowsPrec_0123456789876543210Sym0 a0123456789876543210+ type instance Apply ShowsPrec_0123456789876543210Sym0 a0123456789876543210 = ShowsPrec_0123456789876543210Sym1 a0123456789876543210+ instance PShow AChar where+ type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a+ type family Equals_0123456789876543210 (a :: U) (b :: U) :: Bool where+ Equals_0123456789876543210 BOOL BOOL = TrueSym0+ Equals_0123456789876543210 STRING STRING = TrueSym0+ Equals_0123456789876543210 NAT NAT = TrueSym0+ Equals_0123456789876543210 (VEC a a) (VEC b b) = (&&) ((==) a b) ((==) a b)+ Equals_0123456789876543210 (_ :: U) (_ :: U) = FalseSym0+ instance PEq U where+ type (==) a b = Equals_0123456789876543210 a b+ type family Equals_0123456789876543210 (a :: AChar) (b :: AChar) :: Bool where+ Equals_0123456789876543210 CA CA = TrueSym0+ Equals_0123456789876543210 CB CB = TrueSym0+ Equals_0123456789876543210 CC CC = TrueSym0+ Equals_0123456789876543210 CD CD = TrueSym0+ Equals_0123456789876543210 CE CE = TrueSym0+ Equals_0123456789876543210 CF CF = TrueSym0+ Equals_0123456789876543210 CG CG = TrueSym0+ Equals_0123456789876543210 CH CH = TrueSym0+ Equals_0123456789876543210 CI CI = TrueSym0+ Equals_0123456789876543210 CJ CJ = TrueSym0+ Equals_0123456789876543210 CK CK = TrueSym0+ Equals_0123456789876543210 CL CL = TrueSym0+ Equals_0123456789876543210 CM CM = TrueSym0+ Equals_0123456789876543210 CN CN = TrueSym0+ Equals_0123456789876543210 CO CO = TrueSym0+ Equals_0123456789876543210 CP CP = TrueSym0+ Equals_0123456789876543210 CQ CQ = TrueSym0+ Equals_0123456789876543210 CR CR = TrueSym0+ Equals_0123456789876543210 CS CS = TrueSym0+ Equals_0123456789876543210 CT CT = TrueSym0+ Equals_0123456789876543210 CU CU = TrueSym0+ Equals_0123456789876543210 CV CV = TrueSym0+ Equals_0123456789876543210 CW CW = TrueSym0+ Equals_0123456789876543210 CX CX = TrueSym0+ Equals_0123456789876543210 CY CY = TrueSym0+ Equals_0123456789876543210 CZ CZ = TrueSym0+ Equals_0123456789876543210 (_ :: AChar) (_ :: AChar) = FalseSym0+ instance PEq AChar where+ type (==) a b = Equals_0123456789876543210 a b+ sLookup ::+ forall (t :: [AChar]) (t :: Schema).+ Sing t -> Sing t -> Sing (Apply (Apply LookupSym0 t) t :: U)+ sOccurs ::+ forall (t :: [AChar]) (t :: Schema).+ Sing t -> Sing t -> Sing (Apply (Apply OccursSym0 t) t :: Bool)+ sAttrNotIn ::+ forall (t :: Attribute) (t :: Schema).+ Sing t -> Sing t -> Sing (Apply (Apply AttrNotInSym0 t) t :: Bool)+ sDisjoint ::+ forall (t :: Schema) (t :: Schema).+ Sing t -> Sing t -> Sing (Apply (Apply DisjointSym0 t) t :: Bool)+ sAppend ::+ forall (t :: Schema) (t :: Schema).+ Sing t -> Sing t -> Sing (Apply (Apply AppendSym0 t) t :: Schema)+ sLookup _ (SSch SNil) = sUndefined+ sLookup+ (sName :: Sing name)+ (SSch (SCons (SAttr (sName' :: Sing name') (sU :: Sing u))+ (sAttrs :: Sing attrs)))+ = let+ sScrutinee_0123456789876543210 ::+ Sing (Let0123456789876543210Scrutinee_0123456789876543210Sym4 name name' u attrs)+ sScrutinee_0123456789876543210+ = (applySing ((applySing ((singFun2 @(==@#@$)) (%==))) sName))+ sName'+ in (case sScrutinee_0123456789876543210 of+ STrue -> sU+ SFalse+ -> (applySing ((applySing ((singFun2 @LookupSym0) sLookup)) sName))+ ((applySing ((singFun1 @SchSym0) SSch)) sAttrs)) ::+ Sing (Case_0123456789876543210 name name' u attrs (Let0123456789876543210Scrutinee_0123456789876543210Sym4 name name' u attrs) :: U)+ sOccurs _ (SSch SNil) = SFalse+ sOccurs+ (sName :: Sing name)+ (SSch (SCons (SAttr (sName' :: Sing name') _)+ (sAttrs :: Sing attrs)))+ = (applySing+ ((applySing ((singFun2 @(||@#@$)) (%||)))+ ((applySing ((applySing ((singFun2 @(==@#@$)) (%==))) sName))+ sName')))+ ((applySing ((applySing ((singFun2 @OccursSym0) sOccurs)) sName))+ ((applySing ((singFun1 @SchSym0) SSch)) sAttrs))+ sAttrNotIn _ (SSch SNil) = STrue+ sAttrNotIn+ (SAttr (sName :: Sing name) (sU :: Sing u))+ (SSch (SCons (SAttr (sName' :: Sing name') _) (sT :: Sing t)))+ = (applySing+ ((applySing ((singFun2 @(&&@#@$)) (%&&)))+ ((applySing ((applySing ((singFun2 @(/=@#@$)) (%/=))) sName))+ sName')))+ ((applySing+ ((applySing ((singFun2 @AttrNotInSym0) sAttrNotIn))+ ((applySing ((applySing ((singFun2 @AttrSym0) SAttr)) sName)) sU)))+ ((applySing ((singFun1 @SchSym0) SSch)) sT))+ sDisjoint (SSch SNil) _ = STrue+ sDisjoint+ (SSch (SCons (sH :: Sing h) (sT :: Sing t)))+ (sS :: Sing s)+ = (applySing+ ((applySing ((singFun2 @(&&@#@$)) (%&&)))+ ((applySing+ ((applySing ((singFun2 @AttrNotInSym0) sAttrNotIn)) sH))+ sS)))+ ((applySing+ ((applySing ((singFun2 @DisjointSym0) sDisjoint))+ ((applySing ((singFun1 @SchSym0) SSch)) sT)))+ sS)+ sAppend (SSch (sS1 :: Sing s1)) (SSch (sS2 :: Sing s2))+ = (applySing ((singFun1 @SchSym0) SSch))+ ((applySing ((applySing ((singFun2 @(++@#@$)) (%++))) sS1)) sS2)+ instance SingI (LookupSym0 :: (~>) [AChar] ((~>) Schema U)) where+ sing = (singFun2 @LookupSym0) sLookup+ instance SingI d =>+ SingI (LookupSym1 (d :: [AChar]) :: (~>) Schema U) where+ sing = (singFun1 @(LookupSym1 (d :: [AChar]))) (sLookup (sing @d))+ instance SingI (OccursSym0 :: (~>) [AChar] ((~>) Schema Bool)) where+ sing = (singFun2 @OccursSym0) sOccurs+ instance SingI d =>+ SingI (OccursSym1 (d :: [AChar]) :: (~>) Schema Bool) where+ sing = (singFun1 @(OccursSym1 (d :: [AChar]))) (sOccurs (sing @d))+ instance SingI (AttrNotInSym0 :: (~>) Attribute ((~>) Schema Bool)) where+ sing = (singFun2 @AttrNotInSym0) sAttrNotIn+ instance SingI d =>+ SingI (AttrNotInSym1 (d :: Attribute) :: (~>) Schema Bool) where+ sing+ = (singFun1 @(AttrNotInSym1 (d :: Attribute)))+ (sAttrNotIn (sing @d))+ instance SingI (DisjointSym0 :: (~>) Schema ((~>) Schema Bool)) where+ sing = (singFun2 @DisjointSym0) sDisjoint+ instance SingI d =>+ SingI (DisjointSym1 (d :: Schema) :: (~>) Schema Bool) where+ sing+ = (singFun1 @(DisjointSym1 (d :: Schema))) (sDisjoint (sing @d))+ instance SingI (AppendSym0 :: (~>) Schema ((~>) Schema Schema)) where+ sing = (singFun2 @AppendSym0) sAppend+ instance SingI d =>+ SingI (AppendSym1 (d :: Schema) :: (~>) Schema Schema) where+ sing = (singFun1 @(AppendSym1 (d :: Schema))) (sAppend (sing @d))+ data instance Sing :: U -> Type+ where+ SBOOL :: Sing BOOL+ SSTRING :: Sing STRING+ SNAT :: Sing NAT+ SVEC :: forall (n :: U) (n :: Nat).+ (Sing (n :: U)) -> (Sing (n :: Nat)) -> Sing (VEC n n)+ type SU = (Sing :: U -> Type)+ instance SingKind U where+ type Demote U = U+ fromSing SBOOL = BOOL+ fromSing SSTRING = STRING+ fromSing SNAT = NAT+ fromSing (SVEC b b) = (VEC (fromSing b)) (fromSing b)+ toSing BOOL = SomeSing SBOOL+ toSing STRING = SomeSing SSTRING+ toSing NAT = SomeSing SNAT+ toSing (VEC (b :: Demote U) (b :: Demote Nat))+ = case+ ((,) (toSing b :: SomeSing U)) (toSing b :: SomeSing Nat)+ of {+ (,) (SomeSing c) (SomeSing c) -> SomeSing ((SVEC c) c) }+ data instance Sing :: AChar -> Type+ where+ SCA :: Sing CA+ SCB :: Sing CB+ SCC :: Sing CC+ SCD :: Sing CD+ SCE :: Sing CE+ SCF :: Sing CF+ SCG :: Sing CG+ SCH :: Sing CH+ SCI :: Sing CI+ SCJ :: Sing CJ+ SCK :: Sing CK+ SCL :: Sing CL+ SCM :: Sing CM+ SCN :: Sing CN+ SCO :: Sing CO+ SCP :: Sing CP+ SCQ :: Sing CQ+ SCR :: Sing CR+ SCS :: Sing CS+ SCT :: Sing CT+ SCU :: Sing CU+ SCV :: Sing CV+ SCW :: Sing CW+ SCX :: Sing CX+ SCY :: Sing CY+ SCZ :: Sing CZ+ type SAChar = (Sing :: AChar -> Type)+ instance SingKind AChar where+ type Demote AChar = AChar+ fromSing SCA = CA+ fromSing SCB = CB+ fromSing SCC = CC+ fromSing SCD = CD+ fromSing SCE = CE+ fromSing SCF = CF+ fromSing SCG = CG+ fromSing SCH = CH+ fromSing SCI = CI+ fromSing SCJ = CJ+ fromSing SCK = CK+ fromSing SCL = CL+ fromSing SCM = CM+ fromSing SCN = CN+ fromSing SCO = CO+ fromSing SCP = CP+ fromSing SCQ = CQ+ fromSing SCR = CR+ fromSing SCS = CS+ fromSing SCT = CT+ fromSing SCU = CU+ fromSing SCV = CV+ fromSing SCW = CW+ fromSing SCX = CX+ fromSing SCY = CY+ fromSing SCZ = CZ+ toSing CA = SomeSing SCA+ toSing CB = SomeSing SCB+ toSing CC = SomeSing SCC+ toSing CD = SomeSing SCD+ toSing CE = SomeSing SCE+ toSing CF = SomeSing SCF+ toSing CG = SomeSing SCG+ toSing CH = SomeSing SCH+ toSing CI = SomeSing SCI+ toSing CJ = SomeSing SCJ+ toSing CK = SomeSing SCK+ toSing CL = SomeSing SCL+ toSing CM = SomeSing SCM+ toSing CN = SomeSing SCN+ toSing CO = SomeSing SCO+ toSing CP = SomeSing SCP+ toSing CQ = SomeSing SCQ+ toSing CR = SomeSing SCR+ toSing CS = SomeSing SCS+ toSing CT = SomeSing SCT+ toSing CU = SomeSing SCU+ toSing CV = SomeSing SCV+ toSing CW = SomeSing SCW+ toSing CX = SomeSing SCX+ toSing CY = SomeSing SCY+ toSing CZ = SomeSing SCZ+ data instance Sing :: Attribute -> Type+ where+ SAttr :: forall (n :: [AChar]) (n :: U).+ (Sing (n :: [AChar])) -> (Sing (n :: U)) -> Sing (Attr n n)+ type SAttribute = (Sing :: Attribute -> Type)+ instance SingKind Attribute where+ type Demote Attribute = Attribute+ fromSing (SAttr b b) = (Attr (fromSing b)) (fromSing b)+ toSing (Attr (b :: Demote [AChar]) (b :: Demote U))+ = case+ ((,) (toSing b :: SomeSing [AChar])) (toSing b :: SomeSing U)+ of {+ (,) (SomeSing c) (SomeSing c) -> SomeSing ((SAttr c) c) }+ data instance Sing :: Schema -> Type+ where+ SSch :: forall (n :: [Attribute]).+ (Sing (n :: [Attribute])) -> Sing (Sch n)+ type SSchema = (Sing :: Schema -> Type)+ instance SingKind Schema where+ type Demote Schema = Schema+ fromSing (SSch b) = Sch (fromSing b)+ toSing (Sch (b :: Demote [Attribute]))+ = case toSing b :: SomeSing [Attribute] of {+ SomeSing c -> SomeSing (SSch c) }+ instance (SShow U, SShow Nat) => SShow U where+ sShowsPrec ::+ forall (t1 :: GHC.Types.Nat) (t2 :: U) (t3 :: Symbol).+ Sing t1+ -> Sing t2+ -> Sing t3+ -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun GHC.Types.Nat ((~>) U ((~>) Symbol Symbol))+ -> Type) t1) t2) t3)+ sShowsPrec+ _+ SBOOL+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "BOOL")))+ sA_0123456789876543210+ sShowsPrec+ _+ SSTRING+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "STRING")))+ sA_0123456789876543210+ sShowsPrec+ _+ SNAT+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "NAT")))+ sA_0123456789876543210+ sShowsPrec+ (sP_0123456789876543210 :: Sing p_0123456789876543210)+ (SVEC (sArg_0123456789876543210 :: Sing arg_0123456789876543210)+ (sArg_0123456789876543210 :: Sing arg_0123456789876543210))+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing+ ((applySing ((singFun3 @ShowParenSym0) sShowParen))+ ((applySing+ ((applySing ((singFun2 @(>@#@$)) (%>))) sP_0123456789876543210))+ (sFromInteger (sing :: Sing 10)))))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "VEC "))))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((applySing+ ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))+ (sFromInteger (sing :: Sing 11))))+ sArg_0123456789876543210)))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((singFun1 @ShowSpaceSym0) sShowSpace)))+ ((applySing+ ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))+ (sFromInteger (sing :: Sing 11))))+ sArg_0123456789876543210))))))+ sA_0123456789876543210+ instance SShow AChar where+ sShowsPrec ::+ forall (t1 :: GHC.Types.Nat) (t2 :: AChar) (t3 :: Symbol).+ Sing t1+ -> Sing t2+ -> Sing t3+ -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun GHC.Types.Nat ((~>) AChar ((~>) Symbol Symbol))+ -> Type) t1) t2) t3)+ sShowsPrec+ _+ SCA+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "CA")))+ sA_0123456789876543210+ sShowsPrec+ _+ SCB+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "CB")))+ sA_0123456789876543210+ sShowsPrec+ _+ SCC+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "CC")))+ sA_0123456789876543210+ sShowsPrec+ _+ SCD+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "CD")))+ sA_0123456789876543210+ sShowsPrec+ _+ SCE+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "CE")))+ sA_0123456789876543210+ sShowsPrec+ _+ SCF+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "CF")))+ sA_0123456789876543210+ sShowsPrec+ _+ SCG+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "CG")))+ sA_0123456789876543210+ sShowsPrec+ _+ SCH+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "CH")))+ sA_0123456789876543210+ sShowsPrec+ _+ SCI+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "CI")))+ sA_0123456789876543210+ sShowsPrec+ _+ SCJ+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "CJ")))+ sA_0123456789876543210+ sShowsPrec+ _+ SCK+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "CK")))+ sA_0123456789876543210+ sShowsPrec+ _+ SCL+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "CL")))+ sA_0123456789876543210+ sShowsPrec+ _+ SCM+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "CM")))+ sA_0123456789876543210+ sShowsPrec+ _+ SCN+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "CN")))+ sA_0123456789876543210+ sShowsPrec+ _+ SCO+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "CO")))+ sA_0123456789876543210+ sShowsPrec+ _+ SCP+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "CP")))+ sA_0123456789876543210+ sShowsPrec+ _+ SCQ+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "CQ")))+ sA_0123456789876543210+ sShowsPrec+ _+ SCR+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "CR")))+ sA_0123456789876543210+ sShowsPrec+ _+ SCS+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "CS")))+ sA_0123456789876543210+ sShowsPrec+ _+ SCT+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "CT")))+ sA_0123456789876543210+ sShowsPrec+ _+ SCU+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "CU")))+ sA_0123456789876543210+ sShowsPrec+ _+ SCV+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "CV")))+ sA_0123456789876543210+ sShowsPrec+ _+ SCW+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "CW")))+ sA_0123456789876543210+ sShowsPrec+ _+ SCX+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "CX")))+ sA_0123456789876543210+ sShowsPrec+ _+ SCY+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "CY")))+ sA_0123456789876543210+ sShowsPrec+ _+ SCZ+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "CZ")))+ sA_0123456789876543210+ instance (SEq U, SEq Nat) => SEq U where+ (%==) SBOOL SBOOL = STrue+ (%==) SBOOL SSTRING = SFalse+ (%==) SBOOL SNAT = SFalse+ (%==) SBOOL (SVEC _ _) = SFalse+ (%==) SSTRING SBOOL = SFalse+ (%==) SSTRING SSTRING = STrue+ (%==) SSTRING SNAT = SFalse+ (%==) SSTRING (SVEC _ _) = SFalse+ (%==) SNAT SBOOL = SFalse+ (%==) SNAT SSTRING = SFalse+ (%==) SNAT SNAT = STrue+ (%==) SNAT (SVEC _ _) = SFalse+ (%==) (SVEC _ _) SBOOL = SFalse+ (%==) (SVEC _ _) SSTRING = SFalse+ (%==) (SVEC _ _) SNAT = SFalse+ (%==) (SVEC a a) (SVEC b b) = ((%&&) (((%==) a) b)) (((%==) a) b)+ instance (SDecide U, SDecide Nat) => SDecide U where+ (%~) SBOOL SBOOL = Proved Refl+ (%~) SBOOL SSTRING = Disproved (\ x -> case x of)+ (%~) SBOOL SNAT = Disproved (\ x -> case x of)+ (%~) SBOOL (SVEC _ _) = Disproved (\ x -> case x of)+ (%~) SSTRING SBOOL = Disproved (\ x -> case x of)+ (%~) SSTRING SSTRING = Proved Refl+ (%~) SSTRING SNAT = Disproved (\ x -> case x of)+ (%~) SSTRING (SVEC _ _) = Disproved (\ x -> case x of)+ (%~) SNAT SBOOL = Disproved (\ x -> case x of)+ (%~) SNAT SSTRING = Disproved (\ x -> case x of)+ (%~) SNAT SNAT = Proved Refl+ (%~) SNAT (SVEC _ _) = Disproved (\ x -> case x of)+ (%~) (SVEC _ _) SBOOL = Disproved (\ x -> case x of)+ (%~) (SVEC _ _) SSTRING = Disproved (\ x -> case x of)+ (%~) (SVEC _ _) SNAT = Disproved (\ x -> case x of)+ (%~) (SVEC a a) (SVEC b b)+ = case ((,) (((%~) a) b)) (((%~) a) b) of+ (,) (Proved Refl) (Proved Refl) -> Proved Refl+ (,) (Disproved contra) _+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ (,) _ (Disproved contra)+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ instance SEq AChar where+ (%==) SCA SCA = STrue+ (%==) SCA SCB = SFalse+ (%==) SCA SCC = SFalse+ (%==) SCA SCD = SFalse+ (%==) SCA SCE = SFalse+ (%==) SCA SCF = SFalse+ (%==) SCA SCG = SFalse+ (%==) SCA SCH = SFalse+ (%==) SCA SCI = SFalse+ (%==) SCA SCJ = SFalse+ (%==) SCA SCK = SFalse+ (%==) SCA SCL = SFalse+ (%==) SCA SCM = SFalse+ (%==) SCA SCN = SFalse+ (%==) SCA SCO = SFalse+ (%==) SCA SCP = SFalse+ (%==) SCA SCQ = SFalse+ (%==) SCA SCR = SFalse+ (%==) SCA SCS = SFalse+ (%==) SCA SCT = SFalse+ (%==) SCA SCU = SFalse+ (%==) SCA SCV = SFalse+ (%==) SCA SCW = SFalse+ (%==) SCA SCX = SFalse+ (%==) SCA SCY = SFalse+ (%==) SCA SCZ = SFalse+ (%==) SCB SCA = SFalse+ (%==) SCB SCB = STrue+ (%==) SCB SCC = SFalse+ (%==) SCB SCD = SFalse+ (%==) SCB SCE = SFalse+ (%==) SCB SCF = SFalse+ (%==) SCB SCG = SFalse+ (%==) SCB SCH = SFalse+ (%==) SCB SCI = SFalse+ (%==) SCB SCJ = SFalse+ (%==) SCB SCK = SFalse+ (%==) SCB SCL = SFalse+ (%==) SCB SCM = SFalse+ (%==) SCB SCN = SFalse+ (%==) SCB SCO = SFalse+ (%==) SCB SCP = SFalse+ (%==) SCB SCQ = SFalse+ (%==) SCB SCR = SFalse+ (%==) SCB SCS = SFalse+ (%==) SCB SCT = SFalse+ (%==) SCB SCU = SFalse+ (%==) SCB SCV = SFalse+ (%==) SCB SCW = SFalse+ (%==) SCB SCX = SFalse+ (%==) SCB SCY = SFalse+ (%==) SCB SCZ = SFalse+ (%==) SCC SCA = SFalse+ (%==) SCC SCB = SFalse+ (%==) SCC SCC = STrue+ (%==) SCC SCD = SFalse+ (%==) SCC SCE = SFalse+ (%==) SCC SCF = SFalse+ (%==) SCC SCG = SFalse+ (%==) SCC SCH = SFalse+ (%==) SCC SCI = SFalse+ (%==) SCC SCJ = SFalse+ (%==) SCC SCK = SFalse+ (%==) SCC SCL = SFalse+ (%==) SCC SCM = SFalse+ (%==) SCC SCN = SFalse+ (%==) SCC SCO = SFalse+ (%==) SCC SCP = SFalse+ (%==) SCC SCQ = SFalse+ (%==) SCC SCR = SFalse+ (%==) SCC SCS = SFalse+ (%==) SCC SCT = SFalse+ (%==) SCC SCU = SFalse+ (%==) SCC SCV = SFalse+ (%==) SCC SCW = SFalse+ (%==) SCC SCX = SFalse+ (%==) SCC SCY = SFalse+ (%==) SCC SCZ = SFalse+ (%==) SCD SCA = SFalse+ (%==) SCD SCB = SFalse+ (%==) SCD SCC = SFalse+ (%==) SCD SCD = STrue+ (%==) SCD SCE = SFalse+ (%==) SCD SCF = SFalse+ (%==) SCD SCG = SFalse+ (%==) SCD SCH = SFalse+ (%==) SCD SCI = SFalse+ (%==) SCD SCJ = SFalse+ (%==) SCD SCK = SFalse+ (%==) SCD SCL = SFalse+ (%==) SCD SCM = SFalse+ (%==) SCD SCN = SFalse+ (%==) SCD SCO = SFalse+ (%==) SCD SCP = SFalse+ (%==) SCD SCQ = SFalse+ (%==) SCD SCR = SFalse+ (%==) SCD SCS = SFalse+ (%==) SCD SCT = SFalse+ (%==) SCD SCU = SFalse+ (%==) SCD SCV = SFalse+ (%==) SCD SCW = SFalse+ (%==) SCD SCX = SFalse+ (%==) SCD SCY = SFalse+ (%==) SCD SCZ = SFalse+ (%==) SCE SCA = SFalse+ (%==) SCE SCB = SFalse+ (%==) SCE SCC = SFalse+ (%==) SCE SCD = SFalse+ (%==) SCE SCE = STrue+ (%==) SCE SCF = SFalse+ (%==) SCE SCG = SFalse+ (%==) SCE SCH = SFalse+ (%==) SCE SCI = SFalse+ (%==) SCE SCJ = SFalse+ (%==) SCE SCK = SFalse+ (%==) SCE SCL = SFalse+ (%==) SCE SCM = SFalse+ (%==) SCE SCN = SFalse+ (%==) SCE SCO = SFalse+ (%==) SCE SCP = SFalse+ (%==) SCE SCQ = SFalse+ (%==) SCE SCR = SFalse+ (%==) SCE SCS = SFalse+ (%==) SCE SCT = SFalse+ (%==) SCE SCU = SFalse+ (%==) SCE SCV = SFalse+ (%==) SCE SCW = SFalse+ (%==) SCE SCX = SFalse+ (%==) SCE SCY = SFalse+ (%==) SCE SCZ = SFalse+ (%==) SCF SCA = SFalse+ (%==) SCF SCB = SFalse+ (%==) SCF SCC = SFalse+ (%==) SCF SCD = SFalse+ (%==) SCF SCE = SFalse+ (%==) SCF SCF = STrue+ (%==) SCF SCG = SFalse+ (%==) SCF SCH = SFalse+ (%==) SCF SCI = SFalse+ (%==) SCF SCJ = SFalse+ (%==) SCF SCK = SFalse+ (%==) SCF SCL = SFalse+ (%==) SCF SCM = SFalse+ (%==) SCF SCN = SFalse+ (%==) SCF SCO = SFalse+ (%==) SCF SCP = SFalse+ (%==) SCF SCQ = SFalse+ (%==) SCF SCR = SFalse+ (%==) SCF SCS = SFalse+ (%==) SCF SCT = SFalse+ (%==) SCF SCU = SFalse+ (%==) SCF SCV = SFalse+ (%==) SCF SCW = SFalse+ (%==) SCF SCX = SFalse+ (%==) SCF SCY = SFalse+ (%==) SCF SCZ = SFalse+ (%==) SCG SCA = SFalse+ (%==) SCG SCB = SFalse+ (%==) SCG SCC = SFalse+ (%==) SCG SCD = SFalse+ (%==) SCG SCE = SFalse+ (%==) SCG SCF = SFalse+ (%==) SCG SCG = STrue+ (%==) SCG SCH = SFalse+ (%==) SCG SCI = SFalse+ (%==) SCG SCJ = SFalse+ (%==) SCG SCK = SFalse+ (%==) SCG SCL = SFalse+ (%==) SCG SCM = SFalse+ (%==) SCG SCN = SFalse+ (%==) SCG SCO = SFalse+ (%==) SCG SCP = SFalse+ (%==) SCG SCQ = SFalse+ (%==) SCG SCR = SFalse+ (%==) SCG SCS = SFalse+ (%==) SCG SCT = SFalse+ (%==) SCG SCU = SFalse+ (%==) SCG SCV = SFalse+ (%==) SCG SCW = SFalse+ (%==) SCG SCX = SFalse+ (%==) SCG SCY = SFalse+ (%==) SCG SCZ = SFalse+ (%==) SCH SCA = SFalse+ (%==) SCH SCB = SFalse+ (%==) SCH SCC = SFalse+ (%==) SCH SCD = SFalse+ (%==) SCH SCE = SFalse+ (%==) SCH SCF = SFalse+ (%==) SCH SCG = SFalse+ (%==) SCH SCH = STrue+ (%==) SCH SCI = SFalse+ (%==) SCH SCJ = SFalse+ (%==) SCH SCK = SFalse+ (%==) SCH SCL = SFalse+ (%==) SCH SCM = SFalse+ (%==) SCH SCN = SFalse+ (%==) SCH SCO = SFalse+ (%==) SCH SCP = SFalse+ (%==) SCH SCQ = SFalse+ (%==) SCH SCR = SFalse+ (%==) SCH SCS = SFalse+ (%==) SCH SCT = SFalse+ (%==) SCH SCU = SFalse+ (%==) SCH SCV = SFalse+ (%==) SCH SCW = SFalse+ (%==) SCH SCX = SFalse+ (%==) SCH SCY = SFalse+ (%==) SCH SCZ = SFalse+ (%==) SCI SCA = SFalse+ (%==) SCI SCB = SFalse+ (%==) SCI SCC = SFalse+ (%==) SCI SCD = SFalse+ (%==) SCI SCE = SFalse+ (%==) SCI SCF = SFalse+ (%==) SCI SCG = SFalse+ (%==) SCI SCH = SFalse+ (%==) SCI SCI = STrue+ (%==) SCI SCJ = SFalse+ (%==) SCI SCK = SFalse+ (%==) SCI SCL = SFalse+ (%==) SCI SCM = SFalse+ (%==) SCI SCN = SFalse+ (%==) SCI SCO = SFalse+ (%==) SCI SCP = SFalse+ (%==) SCI SCQ = SFalse+ (%==) SCI SCR = SFalse+ (%==) SCI SCS = SFalse+ (%==) SCI SCT = SFalse+ (%==) SCI SCU = SFalse+ (%==) SCI SCV = SFalse+ (%==) SCI SCW = SFalse+ (%==) SCI SCX = SFalse+ (%==) SCI SCY = SFalse+ (%==) SCI SCZ = SFalse+ (%==) SCJ SCA = SFalse+ (%==) SCJ SCB = SFalse+ (%==) SCJ SCC = SFalse+ (%==) SCJ SCD = SFalse+ (%==) SCJ SCE = SFalse+ (%==) SCJ SCF = SFalse+ (%==) SCJ SCG = SFalse+ (%==) SCJ SCH = SFalse+ (%==) SCJ SCI = SFalse+ (%==) SCJ SCJ = STrue+ (%==) SCJ SCK = SFalse+ (%==) SCJ SCL = SFalse+ (%==) SCJ SCM = SFalse+ (%==) SCJ SCN = SFalse+ (%==) SCJ SCO = SFalse+ (%==) SCJ SCP = SFalse+ (%==) SCJ SCQ = SFalse+ (%==) SCJ SCR = SFalse+ (%==) SCJ SCS = SFalse+ (%==) SCJ SCT = SFalse+ (%==) SCJ SCU = SFalse+ (%==) SCJ SCV = SFalse+ (%==) SCJ SCW = SFalse+ (%==) SCJ SCX = SFalse+ (%==) SCJ SCY = SFalse+ (%==) SCJ SCZ = SFalse+ (%==) SCK SCA = SFalse+ (%==) SCK SCB = SFalse+ (%==) SCK SCC = SFalse+ (%==) SCK SCD = SFalse+ (%==) SCK SCE = SFalse+ (%==) SCK SCF = SFalse+ (%==) SCK SCG = SFalse+ (%==) SCK SCH = SFalse+ (%==) SCK SCI = SFalse+ (%==) SCK SCJ = SFalse+ (%==) SCK SCK = STrue+ (%==) SCK SCL = SFalse+ (%==) SCK SCM = SFalse+ (%==) SCK SCN = SFalse+ (%==) SCK SCO = SFalse+ (%==) SCK SCP = SFalse+ (%==) SCK SCQ = SFalse+ (%==) SCK SCR = SFalse+ (%==) SCK SCS = SFalse+ (%==) SCK SCT = SFalse+ (%==) SCK SCU = SFalse+ (%==) SCK SCV = SFalse+ (%==) SCK SCW = SFalse+ (%==) SCK SCX = SFalse+ (%==) SCK SCY = SFalse+ (%==) SCK SCZ = SFalse+ (%==) SCL SCA = SFalse+ (%==) SCL SCB = SFalse+ (%==) SCL SCC = SFalse+ (%==) SCL SCD = SFalse+ (%==) SCL SCE = SFalse+ (%==) SCL SCF = SFalse+ (%==) SCL SCG = SFalse+ (%==) SCL SCH = SFalse+ (%==) SCL SCI = SFalse+ (%==) SCL SCJ = SFalse+ (%==) SCL SCK = SFalse+ (%==) SCL SCL = STrue+ (%==) SCL SCM = SFalse+ (%==) SCL SCN = SFalse+ (%==) SCL SCO = SFalse+ (%==) SCL SCP = SFalse+ (%==) SCL SCQ = SFalse+ (%==) SCL SCR = SFalse+ (%==) SCL SCS = SFalse+ (%==) SCL SCT = SFalse+ (%==) SCL SCU = SFalse+ (%==) SCL SCV = SFalse+ (%==) SCL SCW = SFalse+ (%==) SCL SCX = SFalse+ (%==) SCL SCY = SFalse+ (%==) SCL SCZ = SFalse+ (%==) SCM SCA = SFalse+ (%==) SCM SCB = SFalse+ (%==) SCM SCC = SFalse+ (%==) SCM SCD = SFalse+ (%==) SCM SCE = SFalse+ (%==) SCM SCF = SFalse+ (%==) SCM SCG = SFalse+ (%==) SCM SCH = SFalse+ (%==) SCM SCI = SFalse+ (%==) SCM SCJ = SFalse+ (%==) SCM SCK = SFalse+ (%==) SCM SCL = SFalse+ (%==) SCM SCM = STrue+ (%==) SCM SCN = SFalse+ (%==) SCM SCO = SFalse+ (%==) SCM SCP = SFalse+ (%==) SCM SCQ = SFalse+ (%==) SCM SCR = SFalse+ (%==) SCM SCS = SFalse+ (%==) SCM SCT = SFalse+ (%==) SCM SCU = SFalse+ (%==) SCM SCV = SFalse+ (%==) SCM SCW = SFalse+ (%==) SCM SCX = SFalse+ (%==) SCM SCY = SFalse+ (%==) SCM SCZ = SFalse+ (%==) SCN SCA = SFalse+ (%==) SCN SCB = SFalse+ (%==) SCN SCC = SFalse+ (%==) SCN SCD = SFalse+ (%==) SCN SCE = SFalse+ (%==) SCN SCF = SFalse+ (%==) SCN SCG = SFalse+ (%==) SCN SCH = SFalse+ (%==) SCN SCI = SFalse+ (%==) SCN SCJ = SFalse+ (%==) SCN SCK = SFalse+ (%==) SCN SCL = SFalse+ (%==) SCN SCM = SFalse+ (%==) SCN SCN = STrue+ (%==) SCN SCO = SFalse+ (%==) SCN SCP = SFalse+ (%==) SCN SCQ = SFalse+ (%==) SCN SCR = SFalse+ (%==) SCN SCS = SFalse+ (%==) SCN SCT = SFalse+ (%==) SCN SCU = SFalse+ (%==) SCN SCV = SFalse+ (%==) SCN SCW = SFalse+ (%==) SCN SCX = SFalse+ (%==) SCN SCY = SFalse+ (%==) SCN SCZ = SFalse+ (%==) SCO SCA = SFalse+ (%==) SCO SCB = SFalse+ (%==) SCO SCC = SFalse+ (%==) SCO SCD = SFalse+ (%==) SCO SCE = SFalse+ (%==) SCO SCF = SFalse+ (%==) SCO SCG = SFalse+ (%==) SCO SCH = SFalse+ (%==) SCO SCI = SFalse+ (%==) SCO SCJ = SFalse+ (%==) SCO SCK = SFalse+ (%==) SCO SCL = SFalse+ (%==) SCO SCM = SFalse+ (%==) SCO SCN = SFalse+ (%==) SCO SCO = STrue+ (%==) SCO SCP = SFalse+ (%==) SCO SCQ = SFalse+ (%==) SCO SCR = SFalse+ (%==) SCO SCS = SFalse+ (%==) SCO SCT = SFalse+ (%==) SCO SCU = SFalse+ (%==) SCO SCV = SFalse+ (%==) SCO SCW = SFalse+ (%==) SCO SCX = SFalse+ (%==) SCO SCY = SFalse+ (%==) SCO SCZ = SFalse+ (%==) SCP SCA = SFalse+ (%==) SCP SCB = SFalse+ (%==) SCP SCC = SFalse+ (%==) SCP SCD = SFalse+ (%==) SCP SCE = SFalse+ (%==) SCP SCF = SFalse+ (%==) SCP SCG = SFalse+ (%==) SCP SCH = SFalse+ (%==) SCP SCI = SFalse+ (%==) SCP SCJ = SFalse+ (%==) SCP SCK = SFalse+ (%==) SCP SCL = SFalse+ (%==) SCP SCM = SFalse+ (%==) SCP SCN = SFalse+ (%==) SCP SCO = SFalse+ (%==) SCP SCP = STrue+ (%==) SCP SCQ = SFalse+ (%==) SCP SCR = SFalse+ (%==) SCP SCS = SFalse+ (%==) SCP SCT = SFalse+ (%==) SCP SCU = SFalse+ (%==) SCP SCV = SFalse+ (%==) SCP SCW = SFalse+ (%==) SCP SCX = SFalse+ (%==) SCP SCY = SFalse+ (%==) SCP SCZ = SFalse+ (%==) SCQ SCA = SFalse+ (%==) SCQ SCB = SFalse+ (%==) SCQ SCC = SFalse+ (%==) SCQ SCD = SFalse+ (%==) SCQ SCE = SFalse+ (%==) SCQ SCF = SFalse+ (%==) SCQ SCG = SFalse+ (%==) SCQ SCH = SFalse+ (%==) SCQ SCI = SFalse+ (%==) SCQ SCJ = SFalse+ (%==) SCQ SCK = SFalse+ (%==) SCQ SCL = SFalse+ (%==) SCQ SCM = SFalse+ (%==) SCQ SCN = SFalse+ (%==) SCQ SCO = SFalse+ (%==) SCQ SCP = SFalse+ (%==) SCQ SCQ = STrue+ (%==) SCQ SCR = SFalse+ (%==) SCQ SCS = SFalse+ (%==) SCQ SCT = SFalse+ (%==) SCQ SCU = SFalse+ (%==) SCQ SCV = SFalse+ (%==) SCQ SCW = SFalse+ (%==) SCQ SCX = SFalse+ (%==) SCQ SCY = SFalse+ (%==) SCQ SCZ = SFalse+ (%==) SCR SCA = SFalse+ (%==) SCR SCB = SFalse+ (%==) SCR SCC = SFalse+ (%==) SCR SCD = SFalse+ (%==) SCR SCE = SFalse+ (%==) SCR SCF = SFalse+ (%==) SCR SCG = SFalse+ (%==) SCR SCH = SFalse+ (%==) SCR SCI = SFalse+ (%==) SCR SCJ = SFalse+ (%==) SCR SCK = SFalse+ (%==) SCR SCL = SFalse+ (%==) SCR SCM = SFalse+ (%==) SCR SCN = SFalse+ (%==) SCR SCO = SFalse+ (%==) SCR SCP = SFalse+ (%==) SCR SCQ = SFalse+ (%==) SCR SCR = STrue+ (%==) SCR SCS = SFalse+ (%==) SCR SCT = SFalse+ (%==) SCR SCU = SFalse+ (%==) SCR SCV = SFalse+ (%==) SCR SCW = SFalse+ (%==) SCR SCX = SFalse+ (%==) SCR SCY = SFalse+ (%==) SCR SCZ = SFalse+ (%==) SCS SCA = SFalse+ (%==) SCS SCB = SFalse+ (%==) SCS SCC = SFalse+ (%==) SCS SCD = SFalse+ (%==) SCS SCE = SFalse+ (%==) SCS SCF = SFalse+ (%==) SCS SCG = SFalse+ (%==) SCS SCH = SFalse+ (%==) SCS SCI = SFalse+ (%==) SCS SCJ = SFalse+ (%==) SCS SCK = SFalse+ (%==) SCS SCL = SFalse+ (%==) SCS SCM = SFalse+ (%==) SCS SCN = SFalse+ (%==) SCS SCO = SFalse+ (%==) SCS SCP = SFalse+ (%==) SCS SCQ = SFalse+ (%==) SCS SCR = SFalse+ (%==) SCS SCS = STrue+ (%==) SCS SCT = SFalse+ (%==) SCS SCU = SFalse+ (%==) SCS SCV = SFalse+ (%==) SCS SCW = SFalse+ (%==) SCS SCX = SFalse+ (%==) SCS SCY = SFalse+ (%==) SCS SCZ = SFalse+ (%==) SCT SCA = SFalse+ (%==) SCT SCB = SFalse+ (%==) SCT SCC = SFalse+ (%==) SCT SCD = SFalse+ (%==) SCT SCE = SFalse+ (%==) SCT SCF = SFalse+ (%==) SCT SCG = SFalse+ (%==) SCT SCH = SFalse+ (%==) SCT SCI = SFalse+ (%==) SCT SCJ = SFalse+ (%==) SCT SCK = SFalse+ (%==) SCT SCL = SFalse+ (%==) SCT SCM = SFalse+ (%==) SCT SCN = SFalse+ (%==) SCT SCO = SFalse+ (%==) SCT SCP = SFalse+ (%==) SCT SCQ = SFalse+ (%==) SCT SCR = SFalse+ (%==) SCT SCS = SFalse+ (%==) SCT SCT = STrue+ (%==) SCT SCU = SFalse+ (%==) SCT SCV = SFalse+ (%==) SCT SCW = SFalse+ (%==) SCT SCX = SFalse+ (%==) SCT SCY = SFalse+ (%==) SCT SCZ = SFalse+ (%==) SCU SCA = SFalse+ (%==) SCU SCB = SFalse+ (%==) SCU SCC = SFalse+ (%==) SCU SCD = SFalse+ (%==) SCU SCE = SFalse+ (%==) SCU SCF = SFalse+ (%==) SCU SCG = SFalse+ (%==) SCU SCH = SFalse+ (%==) SCU SCI = SFalse+ (%==) SCU SCJ = SFalse+ (%==) SCU SCK = SFalse+ (%==) SCU SCL = SFalse+ (%==) SCU SCM = SFalse+ (%==) SCU SCN = SFalse+ (%==) SCU SCO = SFalse+ (%==) SCU SCP = SFalse+ (%==) SCU SCQ = SFalse+ (%==) SCU SCR = SFalse+ (%==) SCU SCS = SFalse+ (%==) SCU SCT = SFalse+ (%==) SCU SCU = STrue+ (%==) SCU SCV = SFalse+ (%==) SCU SCW = SFalse+ (%==) SCU SCX = SFalse+ (%==) SCU SCY = SFalse+ (%==) SCU SCZ = SFalse+ (%==) SCV SCA = SFalse+ (%==) SCV SCB = SFalse+ (%==) SCV SCC = SFalse+ (%==) SCV SCD = SFalse+ (%==) SCV SCE = SFalse+ (%==) SCV SCF = SFalse+ (%==) SCV SCG = SFalse+ (%==) SCV SCH = SFalse+ (%==) SCV SCI = SFalse+ (%==) SCV SCJ = SFalse+ (%==) SCV SCK = SFalse+ (%==) SCV SCL = SFalse+ (%==) SCV SCM = SFalse+ (%==) SCV SCN = SFalse+ (%==) SCV SCO = SFalse+ (%==) SCV SCP = SFalse+ (%==) SCV SCQ = SFalse+ (%==) SCV SCR = SFalse+ (%==) SCV SCS = SFalse+ (%==) SCV SCT = SFalse+ (%==) SCV SCU = SFalse+ (%==) SCV SCV = STrue+ (%==) SCV SCW = SFalse+ (%==) SCV SCX = SFalse+ (%==) SCV SCY = SFalse+ (%==) SCV SCZ = SFalse+ (%==) SCW SCA = SFalse+ (%==) SCW SCB = SFalse+ (%==) SCW SCC = SFalse+ (%==) SCW SCD = SFalse+ (%==) SCW SCE = SFalse+ (%==) SCW SCF = SFalse+ (%==) SCW SCG = SFalse+ (%==) SCW SCH = SFalse+ (%==) SCW SCI = SFalse+ (%==) SCW SCJ = SFalse+ (%==) SCW SCK = SFalse+ (%==) SCW SCL = SFalse+ (%==) SCW SCM = SFalse+ (%==) SCW SCN = SFalse+ (%==) SCW SCO = SFalse+ (%==) SCW SCP = SFalse+ (%==) SCW SCQ = SFalse+ (%==) SCW SCR = SFalse+ (%==) SCW SCS = SFalse+ (%==) SCW SCT = SFalse+ (%==) SCW SCU = SFalse+ (%==) SCW SCV = SFalse+ (%==) SCW SCW = STrue+ (%==) SCW SCX = SFalse+ (%==) SCW SCY = SFalse+ (%==) SCW SCZ = SFalse+ (%==) SCX SCA = SFalse+ (%==) SCX SCB = SFalse+ (%==) SCX SCC = SFalse+ (%==) SCX SCD = SFalse+ (%==) SCX SCE = SFalse+ (%==) SCX SCF = SFalse+ (%==) SCX SCG = SFalse+ (%==) SCX SCH = SFalse+ (%==) SCX SCI = SFalse+ (%==) SCX SCJ = SFalse+ (%==) SCX SCK = SFalse+ (%==) SCX SCL = SFalse+ (%==) SCX SCM = SFalse+ (%==) SCX SCN = SFalse+ (%==) SCX SCO = SFalse+ (%==) SCX SCP = SFalse+ (%==) SCX SCQ = SFalse+ (%==) SCX SCR = SFalse+ (%==) SCX SCS = SFalse+ (%==) SCX SCT = SFalse+ (%==) SCX SCU = SFalse+ (%==) SCX SCV = SFalse+ (%==) SCX SCW = SFalse+ (%==) SCX SCX = STrue+ (%==) SCX SCY = SFalse+ (%==) SCX SCZ = SFalse+ (%==) SCY SCA = SFalse+ (%==) SCY SCB = SFalse+ (%==) SCY SCC = SFalse+ (%==) SCY SCD = SFalse+ (%==) SCY SCE = SFalse+ (%==) SCY SCF = SFalse+ (%==) SCY SCG = SFalse+ (%==) SCY SCH = SFalse+ (%==) SCY SCI = SFalse+ (%==) SCY SCJ = SFalse+ (%==) SCY SCK = SFalse+ (%==) SCY SCL = SFalse+ (%==) SCY SCM = SFalse+ (%==) SCY SCN = SFalse+ (%==) SCY SCO = SFalse+ (%==) SCY SCP = SFalse+ (%==) SCY SCQ = SFalse+ (%==) SCY SCR = SFalse+ (%==) SCY SCS = SFalse+ (%==) SCY SCT = SFalse+ (%==) SCY SCU = SFalse+ (%==) SCY SCV = SFalse+ (%==) SCY SCW = SFalse+ (%==) SCY SCX = SFalse+ (%==) SCY SCY = STrue+ (%==) SCY SCZ = SFalse+ (%==) SCZ SCA = SFalse+ (%==) SCZ SCB = SFalse+ (%==) SCZ SCC = SFalse+ (%==) SCZ SCD = SFalse+ (%==) SCZ SCE = SFalse+ (%==) SCZ SCF = SFalse+ (%==) SCZ SCG = SFalse+ (%==) SCZ SCH = SFalse+ (%==) SCZ SCI = SFalse+ (%==) SCZ SCJ = SFalse+ (%==) SCZ SCK = SFalse+ (%==) SCZ SCL = SFalse+ (%==) SCZ SCM = SFalse+ (%==) SCZ SCN = SFalse+ (%==) SCZ SCO = SFalse+ (%==) SCZ SCP = SFalse+ (%==) SCZ SCQ = SFalse+ (%==) SCZ SCR = SFalse+ (%==) SCZ SCS = SFalse+ (%==) SCZ SCT = SFalse+ (%==) SCZ SCU = SFalse+ (%==) SCZ SCV = SFalse+ (%==) SCZ SCW = SFalse+ (%==) SCZ SCX = SFalse+ (%==) SCZ SCY = SFalse+ (%==) SCZ SCZ = STrue+ instance SDecide AChar where+ (%~) SCA SCA = Proved Refl+ (%~) SCA SCB = Disproved (\ x -> case x of)+ (%~) SCA SCC = Disproved (\ x -> case x of)+ (%~) SCA SCD = Disproved (\ x -> case x of)+ (%~) SCA SCE = Disproved (\ x -> case x of)+ (%~) SCA SCF = Disproved (\ x -> case x of)+ (%~) SCA SCG = Disproved (\ x -> case x of)+ (%~) SCA SCH = Disproved (\ x -> case x of)+ (%~) SCA SCI = Disproved (\ x -> case x of)+ (%~) SCA SCJ = Disproved (\ x -> case x of)+ (%~) SCA SCK = Disproved (\ x -> case x of)+ (%~) SCA SCL = Disproved (\ x -> case x of)+ (%~) SCA SCM = Disproved (\ x -> case x of)+ (%~) SCA SCN = Disproved (\ x -> case x of)+ (%~) SCA SCO = Disproved (\ x -> case x of)+ (%~) SCA SCP = Disproved (\ x -> case x of)+ (%~) SCA SCQ = Disproved (\ x -> case x of)+ (%~) SCA SCR = Disproved (\ x -> case x of)+ (%~) SCA SCS = Disproved (\ x -> case x of)+ (%~) SCA SCT = Disproved (\ x -> case x of)+ (%~) SCA SCU = Disproved (\ x -> case x of)+ (%~) SCA SCV = Disproved (\ x -> case x of)+ (%~) SCA SCW = Disproved (\ x -> case x of)+ (%~) SCA SCX = Disproved (\ x -> case x of)+ (%~) SCA SCY = Disproved (\ x -> case x of)+ (%~) SCA SCZ = Disproved (\ x -> case x of)+ (%~) SCB SCA = Disproved (\ x -> case x of)+ (%~) SCB SCB = Proved Refl+ (%~) SCB SCC = Disproved (\ x -> case x of)+ (%~) SCB SCD = Disproved (\ x -> case x of)+ (%~) SCB SCE = Disproved (\ x -> case x of)+ (%~) SCB SCF = Disproved (\ x -> case x of)+ (%~) SCB SCG = Disproved (\ x -> case x of)+ (%~) SCB SCH = Disproved (\ x -> case x of)+ (%~) SCB SCI = Disproved (\ x -> case x of)+ (%~) SCB SCJ = Disproved (\ x -> case x of)+ (%~) SCB SCK = Disproved (\ x -> case x of)+ (%~) SCB SCL = Disproved (\ x -> case x of)+ (%~) SCB SCM = Disproved (\ x -> case x of)+ (%~) SCB SCN = Disproved (\ x -> case x of)+ (%~) SCB SCO = Disproved (\ x -> case x of)+ (%~) SCB SCP = Disproved (\ x -> case x of)+ (%~) SCB SCQ = Disproved (\ x -> case x of)+ (%~) SCB SCR = Disproved (\ x -> case x of)+ (%~) SCB SCS = Disproved (\ x -> case x of)+ (%~) SCB SCT = Disproved (\ x -> case x of)+ (%~) SCB SCU = Disproved (\ x -> case x of)+ (%~) SCB SCV = Disproved (\ x -> case x of)+ (%~) SCB SCW = Disproved (\ x -> case x of)+ (%~) SCB SCX = Disproved (\ x -> case x of)+ (%~) SCB SCY = Disproved (\ x -> case x of)+ (%~) SCB SCZ = Disproved (\ x -> case x of)+ (%~) SCC SCA = Disproved (\ x -> case x of)+ (%~) SCC SCB = Disproved (\ x -> case x of)+ (%~) SCC SCC = Proved Refl+ (%~) SCC SCD = Disproved (\ x -> case x of)+ (%~) SCC SCE = Disproved (\ x -> case x of)+ (%~) SCC SCF = Disproved (\ x -> case x of)+ (%~) SCC SCG = Disproved (\ x -> case x of)+ (%~) SCC SCH = Disproved (\ x -> case x of)+ (%~) SCC SCI = Disproved (\ x -> case x of)+ (%~) SCC SCJ = Disproved (\ x -> case x of)+ (%~) SCC SCK = Disproved (\ x -> case x of)+ (%~) SCC SCL = Disproved (\ x -> case x of)+ (%~) SCC SCM = Disproved (\ x -> case x of)+ (%~) SCC SCN = Disproved (\ x -> case x of)+ (%~) SCC SCO = Disproved (\ x -> case x of)+ (%~) SCC SCP = Disproved (\ x -> case x of)+ (%~) SCC SCQ = Disproved (\ x -> case x of)+ (%~) SCC SCR = Disproved (\ x -> case x of)+ (%~) SCC SCS = Disproved (\ x -> case x of)+ (%~) SCC SCT = Disproved (\ x -> case x of)+ (%~) SCC SCU = Disproved (\ x -> case x of)+ (%~) SCC SCV = Disproved (\ x -> case x of)+ (%~) SCC SCW = Disproved (\ x -> case x of)+ (%~) SCC SCX = Disproved (\ x -> case x of)+ (%~) SCC SCY = Disproved (\ x -> case x of)+ (%~) SCC SCZ = Disproved (\ x -> case x of)+ (%~) SCD SCA = Disproved (\ x -> case x of)+ (%~) SCD SCB = Disproved (\ x -> case x of)+ (%~) SCD SCC = Disproved (\ x -> case x of)+ (%~) SCD SCD = Proved Refl+ (%~) SCD SCE = Disproved (\ x -> case x of)+ (%~) SCD SCF = Disproved (\ x -> case x of)+ (%~) SCD SCG = Disproved (\ x -> case x of)+ (%~) SCD SCH = Disproved (\ x -> case x of)+ (%~) SCD SCI = Disproved (\ x -> case x of)+ (%~) SCD SCJ = Disproved (\ x -> case x of)+ (%~) SCD SCK = Disproved (\ x -> case x of)+ (%~) SCD SCL = Disproved (\ x -> case x of)+ (%~) SCD SCM = Disproved (\ x -> case x of)+ (%~) SCD SCN = Disproved (\ x -> case x of)+ (%~) SCD SCO = Disproved (\ x -> case x of)+ (%~) SCD SCP = Disproved (\ x -> case x of)+ (%~) SCD SCQ = Disproved (\ x -> case x of)+ (%~) SCD SCR = Disproved (\ x -> case x of)+ (%~) SCD SCS = Disproved (\ x -> case x of)+ (%~) SCD SCT = Disproved (\ x -> case x of)+ (%~) SCD SCU = Disproved (\ x -> case x of)+ (%~) SCD SCV = Disproved (\ x -> case x of)+ (%~) SCD SCW = Disproved (\ x -> case x of)+ (%~) SCD SCX = Disproved (\ x -> case x of)+ (%~) SCD SCY = Disproved (\ x -> case x of)+ (%~) SCD SCZ = Disproved (\ x -> case x of)+ (%~) SCE SCA = Disproved (\ x -> case x of)+ (%~) SCE SCB = Disproved (\ x -> case x of)+ (%~) SCE SCC = Disproved (\ x -> case x of)+ (%~) SCE SCD = Disproved (\ x -> case x of)+ (%~) SCE SCE = Proved Refl+ (%~) SCE SCF = Disproved (\ x -> case x of)+ (%~) SCE SCG = Disproved (\ x -> case x of)+ (%~) SCE SCH = Disproved (\ x -> case x of)+ (%~) SCE SCI = Disproved (\ x -> case x of)+ (%~) SCE SCJ = Disproved (\ x -> case x of)+ (%~) SCE SCK = Disproved (\ x -> case x of)+ (%~) SCE SCL = Disproved (\ x -> case x of)+ (%~) SCE SCM = Disproved (\ x -> case x of)+ (%~) SCE SCN = Disproved (\ x -> case x of)+ (%~) SCE SCO = Disproved (\ x -> case x of)+ (%~) SCE SCP = Disproved (\ x -> case x of)+ (%~) SCE SCQ = Disproved (\ x -> case x of)+ (%~) SCE SCR = Disproved (\ x -> case x of)+ (%~) SCE SCS = Disproved (\ x -> case x of)+ (%~) SCE SCT = Disproved (\ x -> case x of)+ (%~) SCE SCU = Disproved (\ x -> case x of)+ (%~) SCE SCV = Disproved (\ x -> case x of)+ (%~) SCE SCW = Disproved (\ x -> case x of)+ (%~) SCE SCX = Disproved (\ x -> case x of)+ (%~) SCE SCY = Disproved (\ x -> case x of)+ (%~) SCE SCZ = Disproved (\ x -> case x of)+ (%~) SCF SCA = Disproved (\ x -> case x of)+ (%~) SCF SCB = Disproved (\ x -> case x of)+ (%~) SCF SCC = Disproved (\ x -> case x of)+ (%~) SCF SCD = Disproved (\ x -> case x of)+ (%~) SCF SCE = Disproved (\ x -> case x of)+ (%~) SCF SCF = Proved Refl+ (%~) SCF SCG = Disproved (\ x -> case x of)+ (%~) SCF SCH = Disproved (\ x -> case x of)+ (%~) SCF SCI = Disproved (\ x -> case x of)+ (%~) SCF SCJ = Disproved (\ x -> case x of)+ (%~) SCF SCK = Disproved (\ x -> case x of)+ (%~) SCF SCL = Disproved (\ x -> case x of)+ (%~) SCF SCM = Disproved (\ x -> case x of)+ (%~) SCF SCN = Disproved (\ x -> case x of)+ (%~) SCF SCO = Disproved (\ x -> case x of)+ (%~) SCF SCP = Disproved (\ x -> case x of)+ (%~) SCF SCQ = Disproved (\ x -> case x of)+ (%~) SCF SCR = Disproved (\ x -> case x of)+ (%~) SCF SCS = Disproved (\ x -> case x of)+ (%~) SCF SCT = Disproved (\ x -> case x of)+ (%~) SCF SCU = Disproved (\ x -> case x of)+ (%~) SCF SCV = Disproved (\ x -> case x of)+ (%~) SCF SCW = Disproved (\ x -> case x of)+ (%~) SCF SCX = Disproved (\ x -> case x of)+ (%~) SCF SCY = Disproved (\ x -> case x of)+ (%~) SCF SCZ = Disproved (\ x -> case x of)+ (%~) SCG SCA = Disproved (\ x -> case x of)+ (%~) SCG SCB = Disproved (\ x -> case x of)+ (%~) SCG SCC = Disproved (\ x -> case x of)+ (%~) SCG SCD = Disproved (\ x -> case x of)+ (%~) SCG SCE = Disproved (\ x -> case x of)+ (%~) SCG SCF = Disproved (\ x -> case x of)+ (%~) SCG SCG = Proved Refl+ (%~) SCG SCH = Disproved (\ x -> case x of)+ (%~) SCG SCI = Disproved (\ x -> case x of)+ (%~) SCG SCJ = Disproved (\ x -> case x of)+ (%~) SCG SCK = Disproved (\ x -> case x of)+ (%~) SCG SCL = Disproved (\ x -> case x of)+ (%~) SCG SCM = Disproved (\ x -> case x of)+ (%~) SCG SCN = Disproved (\ x -> case x of)+ (%~) SCG SCO = Disproved (\ x -> case x of)+ (%~) SCG SCP = Disproved (\ x -> case x of)+ (%~) SCG SCQ = Disproved (\ x -> case x of)+ (%~) SCG SCR = Disproved (\ x -> case x of)+ (%~) SCG SCS = Disproved (\ x -> case x of)+ (%~) SCG SCT = Disproved (\ x -> case x of)+ (%~) SCG SCU = Disproved (\ x -> case x of)+ (%~) SCG SCV = Disproved (\ x -> case x of)+ (%~) SCG SCW = Disproved (\ x -> case x of)+ (%~) SCG SCX = Disproved (\ x -> case x of)+ (%~) SCG SCY = Disproved (\ x -> case x of)+ (%~) SCG SCZ = Disproved (\ x -> case x of)+ (%~) SCH SCA = Disproved (\ x -> case x of)+ (%~) SCH SCB = Disproved (\ x -> case x of)+ (%~) SCH SCC = Disproved (\ x -> case x of)+ (%~) SCH SCD = Disproved (\ x -> case x of)+ (%~) SCH SCE = Disproved (\ x -> case x of)+ (%~) SCH SCF = Disproved (\ x -> case x of)+ (%~) SCH SCG = Disproved (\ x -> case x of)+ (%~) SCH SCH = Proved Refl+ (%~) SCH SCI = Disproved (\ x -> case x of)+ (%~) SCH SCJ = Disproved (\ x -> case x of)+ (%~) SCH SCK = Disproved (\ x -> case x of)+ (%~) SCH SCL = Disproved (\ x -> case x of)+ (%~) SCH SCM = Disproved (\ x -> case x of)+ (%~) SCH SCN = Disproved (\ x -> case x of)+ (%~) SCH SCO = Disproved (\ x -> case x of)+ (%~) SCH SCP = Disproved (\ x -> case x of)+ (%~) SCH SCQ = Disproved (\ x -> case x of)+ (%~) SCH SCR = Disproved (\ x -> case x of)+ (%~) SCH SCS = Disproved (\ x -> case x of)+ (%~) SCH SCT = Disproved (\ x -> case x of)+ (%~) SCH SCU = Disproved (\ x -> case x of)+ (%~) SCH SCV = Disproved (\ x -> case x of)+ (%~) SCH SCW = Disproved (\ x -> case x of)+ (%~) SCH SCX = Disproved (\ x -> case x of)+ (%~) SCH SCY = Disproved (\ x -> case x of)+ (%~) SCH SCZ = Disproved (\ x -> case x of)+ (%~) SCI SCA = Disproved (\ x -> case x of)+ (%~) SCI SCB = Disproved (\ x -> case x of)+ (%~) SCI SCC = Disproved (\ x -> case x of)+ (%~) SCI SCD = Disproved (\ x -> case x of)+ (%~) SCI SCE = Disproved (\ x -> case x of)+ (%~) SCI SCF = Disproved (\ x -> case x of)+ (%~) SCI SCG = Disproved (\ x -> case x of)+ (%~) SCI SCH = Disproved (\ x -> case x of)+ (%~) SCI SCI = Proved Refl+ (%~) SCI SCJ = Disproved (\ x -> case x of)+ (%~) SCI SCK = Disproved (\ x -> case x of)+ (%~) SCI SCL = Disproved (\ x -> case x of)+ (%~) SCI SCM = Disproved (\ x -> case x of)+ (%~) SCI SCN = Disproved (\ x -> case x of)+ (%~) SCI SCO = Disproved (\ x -> case x of)+ (%~) SCI SCP = Disproved (\ x -> case x of)+ (%~) SCI SCQ = Disproved (\ x -> case x of)+ (%~) SCI SCR = Disproved (\ x -> case x of)+ (%~) SCI SCS = Disproved (\ x -> case x of)+ (%~) SCI SCT = Disproved (\ x -> case x of)+ (%~) SCI SCU = Disproved (\ x -> case x of)+ (%~) SCI SCV = Disproved (\ x -> case x of)+ (%~) SCI SCW = Disproved (\ x -> case x of)+ (%~) SCI SCX = Disproved (\ x -> case x of)+ (%~) SCI SCY = Disproved (\ x -> case x of)+ (%~) SCI SCZ = Disproved (\ x -> case x of)+ (%~) SCJ SCA = Disproved (\ x -> case x of)+ (%~) SCJ SCB = Disproved (\ x -> case x of)+ (%~) SCJ SCC = Disproved (\ x -> case x of)+ (%~) SCJ SCD = Disproved (\ x -> case x of)+ (%~) SCJ SCE = Disproved (\ x -> case x of)+ (%~) SCJ SCF = Disproved (\ x -> case x of)+ (%~) SCJ SCG = Disproved (\ x -> case x of)+ (%~) SCJ SCH = Disproved (\ x -> case x of)+ (%~) SCJ SCI = Disproved (\ x -> case x of)+ (%~) SCJ SCJ = Proved Refl+ (%~) SCJ SCK = Disproved (\ x -> case x of)+ (%~) SCJ SCL = Disproved (\ x -> case x of)+ (%~) SCJ SCM = Disproved (\ x -> case x of)+ (%~) SCJ SCN = Disproved (\ x -> case x of)+ (%~) SCJ SCO = Disproved (\ x -> case x of)+ (%~) SCJ SCP = Disproved (\ x -> case x of)+ (%~) SCJ SCQ = Disproved (\ x -> case x of)+ (%~) SCJ SCR = Disproved (\ x -> case x of)+ (%~) SCJ SCS = Disproved (\ x -> case x of)+ (%~) SCJ SCT = Disproved (\ x -> case x of)+ (%~) SCJ SCU = Disproved (\ x -> case x of)+ (%~) SCJ SCV = Disproved (\ x -> case x of)+ (%~) SCJ SCW = Disproved (\ x -> case x of)+ (%~) SCJ SCX = Disproved (\ x -> case x of)+ (%~) SCJ SCY = Disproved (\ x -> case x of)+ (%~) SCJ SCZ = Disproved (\ x -> case x of)+ (%~) SCK SCA = Disproved (\ x -> case x of)+ (%~) SCK SCB = Disproved (\ x -> case x of)+ (%~) SCK SCC = Disproved (\ x -> case x of)+ (%~) SCK SCD = Disproved (\ x -> case x of)+ (%~) SCK SCE = Disproved (\ x -> case x of)+ (%~) SCK SCF = Disproved (\ x -> case x of)+ (%~) SCK SCG = Disproved (\ x -> case x of)+ (%~) SCK SCH = Disproved (\ x -> case x of)+ (%~) SCK SCI = Disproved (\ x -> case x of)+ (%~) SCK SCJ = Disproved (\ x -> case x of)+ (%~) SCK SCK = Proved Refl+ (%~) SCK SCL = Disproved (\ x -> case x of)+ (%~) SCK SCM = Disproved (\ x -> case x of)+ (%~) SCK SCN = Disproved (\ x -> case x of)+ (%~) SCK SCO = Disproved (\ x -> case x of)+ (%~) SCK SCP = Disproved (\ x -> case x of)+ (%~) SCK SCQ = Disproved (\ x -> case x of)+ (%~) SCK SCR = Disproved (\ x -> case x of)+ (%~) SCK SCS = Disproved (\ x -> case x of)+ (%~) SCK SCT = Disproved (\ x -> case x of)+ (%~) SCK SCU = Disproved (\ x -> case x of)+ (%~) SCK SCV = Disproved (\ x -> case x of)+ (%~) SCK SCW = Disproved (\ x -> case x of)+ (%~) SCK SCX = Disproved (\ x -> case x of)+ (%~) SCK SCY = Disproved (\ x -> case x of)+ (%~) SCK SCZ = Disproved (\ x -> case x of)+ (%~) SCL SCA = Disproved (\ x -> case x of)+ (%~) SCL SCB = Disproved (\ x -> case x of)+ (%~) SCL SCC = Disproved (\ x -> case x of)+ (%~) SCL SCD = Disproved (\ x -> case x of)+ (%~) SCL SCE = Disproved (\ x -> case x of)+ (%~) SCL SCF = Disproved (\ x -> case x of)+ (%~) SCL SCG = Disproved (\ x -> case x of)+ (%~) SCL SCH = Disproved (\ x -> case x of)+ (%~) SCL SCI = Disproved (\ x -> case x of)+ (%~) SCL SCJ = Disproved (\ x -> case x of)+ (%~) SCL SCK = Disproved (\ x -> case x of)+ (%~) SCL SCL = Proved Refl+ (%~) SCL SCM = Disproved (\ x -> case x of)+ (%~) SCL SCN = Disproved (\ x -> case x of)+ (%~) SCL SCO = Disproved (\ x -> case x of)+ (%~) SCL SCP = Disproved (\ x -> case x of)+ (%~) SCL SCQ = Disproved (\ x -> case x of)+ (%~) SCL SCR = Disproved (\ x -> case x of)+ (%~) SCL SCS = Disproved (\ x -> case x of)+ (%~) SCL SCT = Disproved (\ x -> case x of)+ (%~) SCL SCU = Disproved (\ x -> case x of)+ (%~) SCL SCV = Disproved (\ x -> case x of)+ (%~) SCL SCW = Disproved (\ x -> case x of)+ (%~) SCL SCX = Disproved (\ x -> case x of)+ (%~) SCL SCY = Disproved (\ x -> case x of)+ (%~) SCL SCZ = Disproved (\ x -> case x of)+ (%~) SCM SCA = Disproved (\ x -> case x of)+ (%~) SCM SCB = Disproved (\ x -> case x of)+ (%~) SCM SCC = Disproved (\ x -> case x of)+ (%~) SCM SCD = Disproved (\ x -> case x of)+ (%~) SCM SCE = Disproved (\ x -> case x of)+ (%~) SCM SCF = Disproved (\ x -> case x of)+ (%~) SCM SCG = Disproved (\ x -> case x of)+ (%~) SCM SCH = Disproved (\ x -> case x of)+ (%~) SCM SCI = Disproved (\ x -> case x of)+ (%~) SCM SCJ = Disproved (\ x -> case x of)+ (%~) SCM SCK = Disproved (\ x -> case x of)+ (%~) SCM SCL = Disproved (\ x -> case x of)+ (%~) SCM SCM = Proved Refl+ (%~) SCM SCN = Disproved (\ x -> case x of)+ (%~) SCM SCO = Disproved (\ x -> case x of)+ (%~) SCM SCP = Disproved (\ x -> case x of)+ (%~) SCM SCQ = Disproved (\ x -> case x of)+ (%~) SCM SCR = Disproved (\ x -> case x of)+ (%~) SCM SCS = Disproved (\ x -> case x of)+ (%~) SCM SCT = Disproved (\ x -> case x of)+ (%~) SCM SCU = Disproved (\ x -> case x of)+ (%~) SCM SCV = Disproved (\ x -> case x of)+ (%~) SCM SCW = Disproved (\ x -> case x of)+ (%~) SCM SCX = Disproved (\ x -> case x of)+ (%~) SCM SCY = Disproved (\ x -> case x of)+ (%~) SCM SCZ = Disproved (\ x -> case x of)+ (%~) SCN SCA = Disproved (\ x -> case x of)+ (%~) SCN SCB = Disproved (\ x -> case x of)+ (%~) SCN SCC = Disproved (\ x -> case x of)+ (%~) SCN SCD = Disproved (\ x -> case x of)+ (%~) SCN SCE = Disproved (\ x -> case x of)+ (%~) SCN SCF = Disproved (\ x -> case x of)+ (%~) SCN SCG = Disproved (\ x -> case x of)+ (%~) SCN SCH = Disproved (\ x -> case x of)+ (%~) SCN SCI = Disproved (\ x -> case x of)+ (%~) SCN SCJ = Disproved (\ x -> case x of)+ (%~) SCN SCK = Disproved (\ x -> case x of)+ (%~) SCN SCL = Disproved (\ x -> case x of)+ (%~) SCN SCM = Disproved (\ x -> case x of)+ (%~) SCN SCN = Proved Refl+ (%~) SCN SCO = Disproved (\ x -> case x of)+ (%~) SCN SCP = Disproved (\ x -> case x of)+ (%~) SCN SCQ = Disproved (\ x -> case x of)+ (%~) SCN SCR = Disproved (\ x -> case x of)+ (%~) SCN SCS = Disproved (\ x -> case x of)+ (%~) SCN SCT = Disproved (\ x -> case x of)+ (%~) SCN SCU = Disproved (\ x -> case x of)+ (%~) SCN SCV = Disproved (\ x -> case x of)+ (%~) SCN SCW = Disproved (\ x -> case x of)+ (%~) SCN SCX = Disproved (\ x -> case x of)+ (%~) SCN SCY = Disproved (\ x -> case x of)+ (%~) SCN SCZ = Disproved (\ x -> case x of)+ (%~) SCO SCA = Disproved (\ x -> case x of)+ (%~) SCO SCB = Disproved (\ x -> case x of)+ (%~) SCO SCC = Disproved (\ x -> case x of)+ (%~) SCO SCD = Disproved (\ x -> case x of)+ (%~) SCO SCE = Disproved (\ x -> case x of)+ (%~) SCO SCF = Disproved (\ x -> case x of)+ (%~) SCO SCG = Disproved (\ x -> case x of)+ (%~) SCO SCH = Disproved (\ x -> case x of)+ (%~) SCO SCI = Disproved (\ x -> case x of)+ (%~) SCO SCJ = Disproved (\ x -> case x of)+ (%~) SCO SCK = Disproved (\ x -> case x of)+ (%~) SCO SCL = Disproved (\ x -> case x of)+ (%~) SCO SCM = Disproved (\ x -> case x of)+ (%~) SCO SCN = Disproved (\ x -> case x of)+ (%~) SCO SCO = Proved Refl+ (%~) SCO SCP = Disproved (\ x -> case x of)+ (%~) SCO SCQ = Disproved (\ x -> case x of)+ (%~) SCO SCR = Disproved (\ x -> case x of)+ (%~) SCO SCS = Disproved (\ x -> case x of)+ (%~) SCO SCT = Disproved (\ x -> case x of)+ (%~) SCO SCU = Disproved (\ x -> case x of)+ (%~) SCO SCV = Disproved (\ x -> case x of)+ (%~) SCO SCW = Disproved (\ x -> case x of)+ (%~) SCO SCX = Disproved (\ x -> case x of)+ (%~) SCO SCY = Disproved (\ x -> case x of)+ (%~) SCO SCZ = Disproved (\ x -> case x of)+ (%~) SCP SCA = Disproved (\ x -> case x of)+ (%~) SCP SCB = Disproved (\ x -> case x of)+ (%~) SCP SCC = Disproved (\ x -> case x of)+ (%~) SCP SCD = Disproved (\ x -> case x of)+ (%~) SCP SCE = Disproved (\ x -> case x of)+ (%~) SCP SCF = Disproved (\ x -> case x of)+ (%~) SCP SCG = Disproved (\ x -> case x of)+ (%~) SCP SCH = Disproved (\ x -> case x of)+ (%~) SCP SCI = Disproved (\ x -> case x of)+ (%~) SCP SCJ = Disproved (\ x -> case x of)+ (%~) SCP SCK = Disproved (\ x -> case x of)+ (%~) SCP SCL = Disproved (\ x -> case x of)+ (%~) SCP SCM = Disproved (\ x -> case x of)+ (%~) SCP SCN = Disproved (\ x -> case x of)+ (%~) SCP SCO = Disproved (\ x -> case x of)+ (%~) SCP SCP = Proved Refl+ (%~) SCP SCQ = Disproved (\ x -> case x of)+ (%~) SCP SCR = Disproved (\ x -> case x of)+ (%~) SCP SCS = Disproved (\ x -> case x of)+ (%~) SCP SCT = Disproved (\ x -> case x of)+ (%~) SCP SCU = Disproved (\ x -> case x of)+ (%~) SCP SCV = Disproved (\ x -> case x of)+ (%~) SCP SCW = Disproved (\ x -> case x of)+ (%~) SCP SCX = Disproved (\ x -> case x of)+ (%~) SCP SCY = Disproved (\ x -> case x of)+ (%~) SCP SCZ = Disproved (\ x -> case x of)+ (%~) SCQ SCA = Disproved (\ x -> case x of)+ (%~) SCQ SCB = Disproved (\ x -> case x of)+ (%~) SCQ SCC = Disproved (\ x -> case x of)+ (%~) SCQ SCD = Disproved (\ x -> case x of)+ (%~) SCQ SCE = Disproved (\ x -> case x of)+ (%~) SCQ SCF = Disproved (\ x -> case x of)+ (%~) SCQ SCG = Disproved (\ x -> case x of)+ (%~) SCQ SCH = Disproved (\ x -> case x of)+ (%~) SCQ SCI = Disproved (\ x -> case x of)+ (%~) SCQ SCJ = Disproved (\ x -> case x of)+ (%~) SCQ SCK = Disproved (\ x -> case x of)+ (%~) SCQ SCL = Disproved (\ x -> case x of)+ (%~) SCQ SCM = Disproved (\ x -> case x of)+ (%~) SCQ SCN = Disproved (\ x -> case x of)+ (%~) SCQ SCO = Disproved (\ x -> case x of)+ (%~) SCQ SCP = Disproved (\ x -> case x of)+ (%~) SCQ SCQ = Proved Refl+ (%~) SCQ SCR = Disproved (\ x -> case x of)+ (%~) SCQ SCS = Disproved (\ x -> case x of)+ (%~) SCQ SCT = Disproved (\ x -> case x of)+ (%~) SCQ SCU = Disproved (\ x -> case x of)+ (%~) SCQ SCV = Disproved (\ x -> case x of)+ (%~) SCQ SCW = Disproved (\ x -> case x of)+ (%~) SCQ SCX = Disproved (\ x -> case x of)+ (%~) SCQ SCY = Disproved (\ x -> case x of)+ (%~) SCQ SCZ = Disproved (\ x -> case x of)+ (%~) SCR SCA = Disproved (\ x -> case x of)+ (%~) SCR SCB = Disproved (\ x -> case x of)+ (%~) SCR SCC = Disproved (\ x -> case x of)+ (%~) SCR SCD = Disproved (\ x -> case x of)+ (%~) SCR SCE = Disproved (\ x -> case x of)+ (%~) SCR SCF = Disproved (\ x -> case x of)+ (%~) SCR SCG = Disproved (\ x -> case x of)+ (%~) SCR SCH = Disproved (\ x -> case x of)+ (%~) SCR SCI = Disproved (\ x -> case x of)+ (%~) SCR SCJ = Disproved (\ x -> case x of)+ (%~) SCR SCK = Disproved (\ x -> case x of)+ (%~) SCR SCL = Disproved (\ x -> case x of)+ (%~) SCR SCM = Disproved (\ x -> case x of)+ (%~) SCR SCN = Disproved (\ x -> case x of)+ (%~) SCR SCO = Disproved (\ x -> case x of)+ (%~) SCR SCP = Disproved (\ x -> case x of)+ (%~) SCR SCQ = Disproved (\ x -> case x of)+ (%~) SCR SCR = Proved Refl+ (%~) SCR SCS = Disproved (\ x -> case x of)+ (%~) SCR SCT = Disproved (\ x -> case x of)+ (%~) SCR SCU = Disproved (\ x -> case x of)+ (%~) SCR SCV = Disproved (\ x -> case x of)+ (%~) SCR SCW = Disproved (\ x -> case x of)+ (%~) SCR SCX = Disproved (\ x -> case x of)+ (%~) SCR SCY = Disproved (\ x -> case x of)+ (%~) SCR SCZ = Disproved (\ x -> case x of)+ (%~) SCS SCA = Disproved (\ x -> case x of)+ (%~) SCS SCB = Disproved (\ x -> case x of)+ (%~) SCS SCC = Disproved (\ x -> case x of)+ (%~) SCS SCD = Disproved (\ x -> case x of)+ (%~) SCS SCE = Disproved (\ x -> case x of)+ (%~) SCS SCF = Disproved (\ x -> case x of)+ (%~) SCS SCG = Disproved (\ x -> case x of)+ (%~) SCS SCH = Disproved (\ x -> case x of)+ (%~) SCS SCI = Disproved (\ x -> case x of)+ (%~) SCS SCJ = Disproved (\ x -> case x of)+ (%~) SCS SCK = Disproved (\ x -> case x of)+ (%~) SCS SCL = Disproved (\ x -> case x of)+ (%~) SCS SCM = Disproved (\ x -> case x of)+ (%~) SCS SCN = Disproved (\ x -> case x of)+ (%~) SCS SCO = Disproved (\ x -> case x of)+ (%~) SCS SCP = Disproved (\ x -> case x of)+ (%~) SCS SCQ = Disproved (\ x -> case x of)+ (%~) SCS SCR = Disproved (\ x -> case x of)+ (%~) SCS SCS = Proved Refl+ (%~) SCS SCT = Disproved (\ x -> case x of)+ (%~) SCS SCU = Disproved (\ x -> case x of)+ (%~) SCS SCV = Disproved (\ x -> case x of)+ (%~) SCS SCW = Disproved (\ x -> case x of)+ (%~) SCS SCX = Disproved (\ x -> case x of)+ (%~) SCS SCY = Disproved (\ x -> case x of)+ (%~) SCS SCZ = Disproved (\ x -> case x of)+ (%~) SCT SCA = Disproved (\ x -> case x of)+ (%~) SCT SCB = Disproved (\ x -> case x of)+ (%~) SCT SCC = Disproved (\ x -> case x of)+ (%~) SCT SCD = Disproved (\ x -> case x of)+ (%~) SCT SCE = Disproved (\ x -> case x of)+ (%~) SCT SCF = Disproved (\ x -> case x of)+ (%~) SCT SCG = Disproved (\ x -> case x of)+ (%~) SCT SCH = Disproved (\ x -> case x of)+ (%~) SCT SCI = Disproved (\ x -> case x of)+ (%~) SCT SCJ = Disproved (\ x -> case x of)+ (%~) SCT SCK = Disproved (\ x -> case x of)+ (%~) SCT SCL = Disproved (\ x -> case x of)+ (%~) SCT SCM = Disproved (\ x -> case x of)+ (%~) SCT SCN = Disproved (\ x -> case x of)+ (%~) SCT SCO = Disproved (\ x -> case x of)+ (%~) SCT SCP = Disproved (\ x -> case x of)+ (%~) SCT SCQ = Disproved (\ x -> case x of)+ (%~) SCT SCR = Disproved (\ x -> case x of)+ (%~) SCT SCS = Disproved (\ x -> case x of)+ (%~) SCT SCT = Proved Refl+ (%~) SCT SCU = Disproved (\ x -> case x of)+ (%~) SCT SCV = Disproved (\ x -> case x of)+ (%~) SCT SCW = Disproved (\ x -> case x of)+ (%~) SCT SCX = Disproved (\ x -> case x of)+ (%~) SCT SCY = Disproved (\ x -> case x of)+ (%~) SCT SCZ = Disproved (\ x -> case x of)+ (%~) SCU SCA = Disproved (\ x -> case x of)+ (%~) SCU SCB = Disproved (\ x -> case x of)+ (%~) SCU SCC = Disproved (\ x -> case x of)+ (%~) SCU SCD = Disproved (\ x -> case x of)+ (%~) SCU SCE = Disproved (\ x -> case x of)+ (%~) SCU SCF = Disproved (\ x -> case x of)+ (%~) SCU SCG = Disproved (\ x -> case x of)+ (%~) SCU SCH = Disproved (\ x -> case x of)+ (%~) SCU SCI = Disproved (\ x -> case x of)+ (%~) SCU SCJ = Disproved (\ x -> case x of)+ (%~) SCU SCK = Disproved (\ x -> case x of)+ (%~) SCU SCL = Disproved (\ x -> case x of)+ (%~) SCU SCM = Disproved (\ x -> case x of)+ (%~) SCU SCN = Disproved (\ x -> case x of)+ (%~) SCU SCO = Disproved (\ x -> case x of)+ (%~) SCU SCP = Disproved (\ x -> case x of)+ (%~) SCU SCQ = Disproved (\ x -> case x of)+ (%~) SCU SCR = Disproved (\ x -> case x of)+ (%~) SCU SCS = Disproved (\ x -> case x of)+ (%~) SCU SCT = Disproved (\ x -> case x of)+ (%~) SCU SCU = Proved Refl+ (%~) SCU SCV = Disproved (\ x -> case x of)+ (%~) SCU SCW = Disproved (\ x -> case x of)+ (%~) SCU SCX = Disproved (\ x -> case x of)+ (%~) SCU SCY = Disproved (\ x -> case x of)+ (%~) SCU SCZ = Disproved (\ x -> case x of)+ (%~) SCV SCA = Disproved (\ x -> case x of)+ (%~) SCV SCB = Disproved (\ x -> case x of)+ (%~) SCV SCC = Disproved (\ x -> case x of)+ (%~) SCV SCD = Disproved (\ x -> case x of)+ (%~) SCV SCE = Disproved (\ x -> case x of)+ (%~) SCV SCF = Disproved (\ x -> case x of)+ (%~) SCV SCG = Disproved (\ x -> case x of)+ (%~) SCV SCH = Disproved (\ x -> case x of)+ (%~) SCV SCI = Disproved (\ x -> case x of)+ (%~) SCV SCJ = Disproved (\ x -> case x of)+ (%~) SCV SCK = Disproved (\ x -> case x of)+ (%~) SCV SCL = Disproved (\ x -> case x of)+ (%~) SCV SCM = Disproved (\ x -> case x of)+ (%~) SCV SCN = Disproved (\ x -> case x of)+ (%~) SCV SCO = Disproved (\ x -> case x of)+ (%~) SCV SCP = Disproved (\ x -> case x of)+ (%~) SCV SCQ = Disproved (\ x -> case x of)+ (%~) SCV SCR = Disproved (\ x -> case x of)+ (%~) SCV SCS = Disproved (\ x -> case x of)+ (%~) SCV SCT = Disproved (\ x -> case x of)+ (%~) SCV SCU = Disproved (\ x -> case x of)+ (%~) SCV SCV = Proved Refl+ (%~) SCV SCW = Disproved (\ x -> case x of)+ (%~) SCV SCX = Disproved (\ x -> case x of)+ (%~) SCV SCY = Disproved (\ x -> case x of)+ (%~) SCV SCZ = Disproved (\ x -> case x of)+ (%~) SCW SCA = Disproved (\ x -> case x of)+ (%~) SCW SCB = Disproved (\ x -> case x of)+ (%~) SCW SCC = Disproved (\ x -> case x of)+ (%~) SCW SCD = Disproved (\ x -> case x of)+ (%~) SCW SCE = Disproved (\ x -> case x of)+ (%~) SCW SCF = Disproved (\ x -> case x of)+ (%~) SCW SCG = Disproved (\ x -> case x of)+ (%~) SCW SCH = Disproved (\ x -> case x of)+ (%~) SCW SCI = Disproved (\ x -> case x of)+ (%~) SCW SCJ = Disproved (\ x -> case x of)+ (%~) SCW SCK = Disproved (\ x -> case x of)+ (%~) SCW SCL = Disproved (\ x -> case x of)+ (%~) SCW SCM = Disproved (\ x -> case x of)+ (%~) SCW SCN = Disproved (\ x -> case x of)+ (%~) SCW SCO = Disproved (\ x -> case x of)+ (%~) SCW SCP = Disproved (\ x -> case x of)+ (%~) SCW SCQ = Disproved (\ x -> case x of)+ (%~) SCW SCR = Disproved (\ x -> case x of)+ (%~) SCW SCS = Disproved (\ x -> case x of)+ (%~) SCW SCT = Disproved (\ x -> case x of)+ (%~) SCW SCU = Disproved (\ x -> case x of)+ (%~) SCW SCV = Disproved (\ x -> case x of)+ (%~) SCW SCW = Proved Refl+ (%~) SCW SCX = Disproved (\ x -> case x of)+ (%~) SCW SCY = Disproved (\ x -> case x of)+ (%~) SCW SCZ = Disproved (\ x -> case x of)+ (%~) SCX SCA = Disproved (\ x -> case x of)+ (%~) SCX SCB = Disproved (\ x -> case x of)+ (%~) SCX SCC = Disproved (\ x -> case x of)+ (%~) SCX SCD = Disproved (\ x -> case x of)+ (%~) SCX SCE = Disproved (\ x -> case x of)+ (%~) SCX SCF = Disproved (\ x -> case x of)+ (%~) SCX SCG = Disproved (\ x -> case x of)+ (%~) SCX SCH = Disproved (\ x -> case x of)+ (%~) SCX SCI = Disproved (\ x -> case x of)+ (%~) SCX SCJ = Disproved (\ x -> case x of)+ (%~) SCX SCK = Disproved (\ x -> case x of)+ (%~) SCX SCL = Disproved (\ x -> case x of)+ (%~) SCX SCM = Disproved (\ x -> case x of)+ (%~) SCX SCN = Disproved (\ x -> case x of)+ (%~) SCX SCO = Disproved (\ x -> case x of)+ (%~) SCX SCP = Disproved (\ x -> case x of)+ (%~) SCX SCQ = Disproved (\ x -> case x of)+ (%~) SCX SCR = Disproved (\ x -> case x of)+ (%~) SCX SCS = Disproved (\ x -> case x of)+ (%~) SCX SCT = Disproved (\ x -> case x of)+ (%~) SCX SCU = Disproved (\ x -> case x of)+ (%~) SCX SCV = Disproved (\ x -> case x of)+ (%~) SCX SCW = Disproved (\ x -> case x of)+ (%~) SCX SCX = Proved Refl+ (%~) SCX SCY = Disproved (\ x -> case x of)+ (%~) SCX SCZ = Disproved (\ x -> case x of)+ (%~) SCY SCA = Disproved (\ x -> case x of)+ (%~) SCY SCB = Disproved (\ x -> case x of)+ (%~) SCY SCC = Disproved (\ x -> case x of)+ (%~) SCY SCD = Disproved (\ x -> case x of)+ (%~) SCY SCE = Disproved (\ x -> case x of)+ (%~) SCY SCF = Disproved (\ x -> case x of)+ (%~) SCY SCG = Disproved (\ x -> case x of)+ (%~) SCY SCH = Disproved (\ x -> case x of)+ (%~) SCY SCI = Disproved (\ x -> case x of)+ (%~) SCY SCJ = Disproved (\ x -> case x of)+ (%~) SCY SCK = Disproved (\ x -> case x of)+ (%~) SCY SCL = Disproved (\ x -> case x of)+ (%~) SCY SCM = Disproved (\ x -> case x of)+ (%~) SCY SCN = Disproved (\ x -> case x of)+ (%~) SCY SCO = Disproved (\ x -> case x of)+ (%~) SCY SCP = Disproved (\ x -> case x of)+ (%~) SCY SCQ = Disproved (\ x -> case x of)+ (%~) SCY SCR = Disproved (\ x -> case x of)+ (%~) SCY SCS = Disproved (\ x -> case x of)+ (%~) SCY SCT = Disproved (\ x -> case x of)+ (%~) SCY SCU = Disproved (\ x -> case x of)+ (%~) SCY SCV = Disproved (\ x -> case x of)+ (%~) SCY SCW = Disproved (\ x -> case x of)+ (%~) SCY SCX = Disproved (\ x -> case x of)+ (%~) SCY SCY = Proved Refl+ (%~) SCY SCZ = Disproved (\ x -> case x of)+ (%~) SCZ SCA = Disproved (\ x -> case x of)+ (%~) SCZ SCB = Disproved (\ x -> case x of)+ (%~) SCZ SCC = Disproved (\ x -> case x of)+ (%~) SCZ SCD = Disproved (\ x -> case x of)+ (%~) SCZ SCE = Disproved (\ x -> case x of)+ (%~) SCZ SCF = Disproved (\ x -> case x of)+ (%~) SCZ SCG = Disproved (\ x -> case x of)+ (%~) SCZ SCH = Disproved (\ x -> case x of)+ (%~) SCZ SCI = Disproved (\ x -> case x of)+ (%~) SCZ SCJ = Disproved (\ x -> case x of)+ (%~) SCZ SCK = Disproved (\ x -> case x of)+ (%~) SCZ SCL = Disproved (\ x -> case x of)+ (%~) SCZ SCM = Disproved (\ x -> case x of)+ (%~) SCZ SCN = Disproved (\ x -> case x of)+ (%~) SCZ SCO = Disproved (\ x -> case x of)+ (%~) SCZ SCP = Disproved (\ x -> case x of)+ (%~) SCZ SCQ = Disproved (\ x -> case x of)+ (%~) SCZ SCR = Disproved (\ x -> case x of)+ (%~) SCZ SCS = Disproved (\ x -> case x of)+ (%~) SCZ SCT = Disproved (\ x -> case x of)+ (%~) SCZ SCU = Disproved (\ x -> case x of)+ (%~) SCZ SCV = Disproved (\ x -> case x of)+ (%~) SCZ SCW = Disproved (\ x -> case x of)+ (%~) SCZ SCX = Disproved (\ x -> case x of)+ (%~) SCZ SCY = Disproved (\ x -> case x of)+ (%~) SCZ SCZ = Proved Refl+ deriving instance (Data.Singletons.ShowSing.ShowSing U,+ Data.Singletons.ShowSing.ShowSing Nat) =>+ Show (Sing (z :: U))+ deriving instance Show (Sing (z :: AChar))+ instance SingI BOOL where+ sing = SBOOL+ instance SingI STRING where+ sing = SSTRING+ instance SingI NAT where+ sing = SNAT+ instance (SingI n, SingI n) =>+ SingI (VEC (n :: U) (n :: Nat)) where+ sing = (SVEC sing) sing+ instance SingI (VECSym0 :: (~>) U ((~>) Nat U)) where+ sing = (singFun2 @VECSym0) SVEC+ instance SingI (TyCon2 VEC :: (~>) U ((~>) Nat U)) where+ sing = (singFun2 @(TyCon2 VEC)) SVEC+ instance SingI d => SingI (VECSym1 (d :: U) :: (~>) Nat U) where+ sing = (singFun1 @(VECSym1 (d :: U))) (SVEC (sing @d))+ instance SingI d =>+ SingI (TyCon1 (VEC (d :: U)) :: (~>) Nat U) where+ sing = (singFun1 @(TyCon1 (VEC (d :: U)))) (SVEC (sing @d))+ instance SingI CA where+ sing = SCA+ instance SingI CB where+ sing = SCB+ instance SingI CC where+ sing = SCC+ instance SingI CD where+ sing = SCD+ instance SingI CE where+ sing = SCE+ instance SingI CF where+ sing = SCF+ instance SingI CG where+ sing = SCG+ instance SingI CH where+ sing = SCH+ instance SingI CI where+ sing = SCI+ instance SingI CJ where+ sing = SCJ+ instance SingI CK where+ sing = SCK+ instance SingI CL where+ sing = SCL+ instance SingI CM where+ sing = SCM+ instance SingI CN where+ sing = SCN+ instance SingI CO where+ sing = SCO+ instance SingI CP where+ sing = SCP+ instance SingI CQ where+ sing = SCQ+ instance SingI CR where+ sing = SCR+ instance SingI CS where+ sing = SCS+ instance SingI CT where+ sing = SCT+ instance SingI CU where+ sing = SCU+ instance SingI CV where+ sing = SCV+ instance SingI CW where+ sing = SCW+ instance SingI CX where+ sing = SCX+ instance SingI CY where+ sing = SCY+ instance SingI CZ where+ sing = SCZ+ instance (SingI n, SingI n) =>+ SingI (Attr (n :: [AChar]) (n :: U)) where+ sing = (SAttr sing) sing+ instance SingI (AttrSym0 :: (~>) [AChar] ((~>) U Attribute)) where+ sing = (singFun2 @AttrSym0) SAttr+ instance SingI (TyCon2 Attr :: (~>) [AChar] ((~>) U Attribute)) where+ sing = (singFun2 @(TyCon2 Attr)) SAttr+ instance SingI d =>+ SingI (AttrSym1 (d :: [AChar]) :: (~>) U Attribute) where+ sing = (singFun1 @(AttrSym1 (d :: [AChar]))) (SAttr (sing @d))+ instance SingI d =>+ SingI (TyCon1 (Attr (d :: [AChar])) :: (~>) U Attribute) where+ sing = (singFun1 @(TyCon1 (Attr (d :: [AChar])))) (SAttr (sing @d))+ instance SingI n => SingI (Sch (n :: [Attribute])) where+ sing = SSch sing+ instance SingI (SchSym0 :: (~>) [Attribute] Schema) where+ sing = (singFun1 @SchSym0) SSch+ instance SingI (TyCon1 Sch :: (~>) [Attribute] Schema) where+ sing = (singFun1 @(TyCon1 Sch)) SSch+GradingClient/Database.hs:0:0:: Splicing declarations+ return [] ======>+GradingClient/Database.hs:(0,0)-(0,0): Splicing expression+ cases ''Row [| r |] [| changeId (n ++ (getId r)) r |]+ ======>+ case r of+ EmptyRow _ -> (changeId (((++) n) (getId r))) r+ ConsRow _ _ -> (changeId (((++) n) (getId r))) r
tests/compile-and-dump/GradingClient/Database.hs view
@@ -30,7 +30,7 @@ import Control.Monad import Control.Monad.Except ( throwError ) import Data.List hiding ( tail )-import Data.Kind+import Data.Kind (Type) $(singletons [d| -- Basic Nat type
− tests/compile-and-dump/GradingClient/Main.ghc84.template
@@ -1,123 +0,0 @@-GradingClient/Main.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| lastName, firstName, yearName, gradeName, majorName :: [AChar]- lastName = [CL, CA, CS, CT]- firstName = [CF, CI, CR, CS, CT]- yearName = [CY, CE, CA, CR]- gradeName = [CG, CR, CA, CD, CE]- majorName = [CM, CA, CJ, CO, CR]- gradingSchema :: Schema- gradingSchema- = Sch- [Attr lastName STRING, Attr firstName STRING, Attr yearName NAT,- Attr gradeName NAT, Attr majorName BOOL]- names :: Schema- names = Sch [Attr firstName STRING, Attr lastName STRING] |]- ======>- lastName :: [AChar]- firstName :: [AChar]- yearName :: [AChar]- gradeName :: [AChar]- majorName :: [AChar]- lastName = [CL, CA, CS, CT]- firstName = [CF, CI, CR, CS, CT]- yearName = [CY, CE, CA, CR]- gradeName = [CG, CR, CA, CD, CE]- majorName = [CM, CA, CJ, CO, CR]- gradingSchema :: Schema- gradingSchema- = Sch- [(Attr lastName) STRING, (Attr firstName) STRING,- (Attr yearName) NAT, (Attr gradeName) NAT, (Attr majorName) BOOL]- names :: Schema- names = Sch [(Attr firstName) STRING, (Attr lastName) STRING]- type MajorNameSym0 = MajorName- type GradeNameSym0 = GradeName- type YearNameSym0 = YearName- type FirstNameSym0 = FirstName- type LastNameSym0 = LastName- type GradingSchemaSym0 = GradingSchema- type NamesSym0 = Names- type family MajorName :: [AChar] where- MajorName = Apply (Apply (:@#@$) CMSym0) (Apply (Apply (:@#@$) CASym0) (Apply (Apply (:@#@$) CJSym0) (Apply (Apply (:@#@$) COSym0) (Apply (Apply (:@#@$) CRSym0) '[]))))- type family GradeName :: [AChar] where- GradeName = Apply (Apply (:@#@$) CGSym0) (Apply (Apply (:@#@$) CRSym0) (Apply (Apply (:@#@$) CASym0) (Apply (Apply (:@#@$) CDSym0) (Apply (Apply (:@#@$) CESym0) '[]))))- type family YearName :: [AChar] where- YearName = Apply (Apply (:@#@$) CYSym0) (Apply (Apply (:@#@$) CESym0) (Apply (Apply (:@#@$) CASym0) (Apply (Apply (:@#@$) CRSym0) '[])))- type family FirstName :: [AChar] where- FirstName = Apply (Apply (:@#@$) CFSym0) (Apply (Apply (:@#@$) CISym0) (Apply (Apply (:@#@$) CRSym0) (Apply (Apply (:@#@$) CSSym0) (Apply (Apply (:@#@$) CTSym0) '[]))))- type family LastName :: [AChar] where- LastName = Apply (Apply (:@#@$) CLSym0) (Apply (Apply (:@#@$) CASym0) (Apply (Apply (:@#@$) CSSym0) (Apply (Apply (:@#@$) CTSym0) '[])))- type family GradingSchema :: Schema where- GradingSchema = Apply SchSym0 (Apply (Apply (:@#@$) (Apply (Apply AttrSym0 LastNameSym0) STRINGSym0)) (Apply (Apply (:@#@$) (Apply (Apply AttrSym0 FirstNameSym0) STRINGSym0)) (Apply (Apply (:@#@$) (Apply (Apply AttrSym0 YearNameSym0) NATSym0)) (Apply (Apply (:@#@$) (Apply (Apply AttrSym0 GradeNameSym0) NATSym0)) (Apply (Apply (:@#@$) (Apply (Apply AttrSym0 MajorNameSym0) BOOLSym0)) '[])))))- type family Names :: Schema where- Names = Apply SchSym0 (Apply (Apply (:@#@$) (Apply (Apply AttrSym0 FirstNameSym0) STRINGSym0)) (Apply (Apply (:@#@$) (Apply (Apply AttrSym0 LastNameSym0) STRINGSym0)) '[]))- sMajorName :: Sing (MajorNameSym0 :: [AChar])- sGradeName :: Sing (GradeNameSym0 :: [AChar])- sYearName :: Sing (YearNameSym0 :: [AChar])- sFirstName :: Sing (FirstNameSym0 :: [AChar])- sLastName :: Sing (LastNameSym0 :: [AChar])- sGradingSchema :: Sing (GradingSchemaSym0 :: Schema)- sNames :: Sing (NamesSym0 :: Schema)- sMajorName- = (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCM))- ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCA))- ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCJ))- ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCO))- ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCR)) SNil))))- sGradeName- = (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCG))- ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCR))- ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCA))- ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCD))- ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCE)) SNil))))- sYearName- = (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCY))- ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCE))- ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCA))- ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCR)) SNil)))- sFirstName- = (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCF))- ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCI))- ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCR))- ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCS))- ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCT)) SNil))))- sLastName- = (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCL))- ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCA))- ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCS))- ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCT)) SNil)))- sGradingSchema- = (applySing ((singFun1 @SchSym0) SSch))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing ((applySing ((singFun2 @AttrSym0) SAttr)) sLastName))- SSTRING)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing ((applySing ((singFun2 @AttrSym0) SAttr)) sFirstName))- SSTRING)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing ((applySing ((singFun2 @AttrSym0) SAttr)) sYearName))- SNAT)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing ((applySing ((singFun2 @AttrSym0) SAttr)) sGradeName))- SNAT)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing ((applySing ((singFun2 @AttrSym0) SAttr)) sMajorName))- SBOOL)))- SNil)))))- sNames- = (applySing ((singFun1 @SchSym0) SSch))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing ((applySing ((singFun2 @AttrSym0) SAttr)) sFirstName))- SSTRING)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing ((applySing ((singFun2 @AttrSym0) SAttr)) sLastName))- SSTRING)))- SNil))
+ tests/compile-and-dump/GradingClient/Main.ghc86.template view
@@ -0,0 +1,123 @@+GradingClient/Main.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| lastName, firstName, yearName, gradeName, majorName :: [AChar]+ lastName = [CL, CA, CS, CT]+ firstName = [CF, CI, CR, CS, CT]+ yearName = [CY, CE, CA, CR]+ gradeName = [CG, CR, CA, CD, CE]+ majorName = [CM, CA, CJ, CO, CR]+ gradingSchema :: Schema+ gradingSchema+ = Sch+ [Attr lastName STRING, Attr firstName STRING, Attr yearName NAT,+ Attr gradeName NAT, Attr majorName BOOL]+ names :: Schema+ names = Sch [Attr firstName STRING, Attr lastName STRING] |]+ ======>+ lastName :: [AChar]+ firstName :: [AChar]+ yearName :: [AChar]+ gradeName :: [AChar]+ majorName :: [AChar]+ lastName = [CL, CA, CS, CT]+ firstName = [CF, CI, CR, CS, CT]+ yearName = [CY, CE, CA, CR]+ gradeName = [CG, CR, CA, CD, CE]+ majorName = [CM, CA, CJ, CO, CR]+ gradingSchema :: Schema+ gradingSchema+ = Sch+ [(Attr lastName) STRING, (Attr firstName) STRING,+ (Attr yearName) NAT, (Attr gradeName) NAT, (Attr majorName) BOOL]+ names :: Schema+ names = Sch [(Attr firstName) STRING, (Attr lastName) STRING]+ type MajorNameSym0 = MajorName+ type GradeNameSym0 = GradeName+ type YearNameSym0 = YearName+ type FirstNameSym0 = FirstName+ type LastNameSym0 = LastName+ type GradingSchemaSym0 = GradingSchema+ type NamesSym0 = Names+ type family MajorName :: [AChar] where+ MajorName = Apply (Apply (:@#@$) CMSym0) (Apply (Apply (:@#@$) CASym0) (Apply (Apply (:@#@$) CJSym0) (Apply (Apply (:@#@$) COSym0) (Apply (Apply (:@#@$) CRSym0) '[]))))+ type family GradeName :: [AChar] where+ GradeName = Apply (Apply (:@#@$) CGSym0) (Apply (Apply (:@#@$) CRSym0) (Apply (Apply (:@#@$) CASym0) (Apply (Apply (:@#@$) CDSym0) (Apply (Apply (:@#@$) CESym0) '[]))))+ type family YearName :: [AChar] where+ YearName = Apply (Apply (:@#@$) CYSym0) (Apply (Apply (:@#@$) CESym0) (Apply (Apply (:@#@$) CASym0) (Apply (Apply (:@#@$) CRSym0) '[])))+ type family FirstName :: [AChar] where+ FirstName = Apply (Apply (:@#@$) CFSym0) (Apply (Apply (:@#@$) CISym0) (Apply (Apply (:@#@$) CRSym0) (Apply (Apply (:@#@$) CSSym0) (Apply (Apply (:@#@$) CTSym0) '[]))))+ type family LastName :: [AChar] where+ LastName = Apply (Apply (:@#@$) CLSym0) (Apply (Apply (:@#@$) CASym0) (Apply (Apply (:@#@$) CSSym0) (Apply (Apply (:@#@$) CTSym0) '[])))+ type family GradingSchema :: Schema where+ GradingSchema = Apply SchSym0 (Apply (Apply (:@#@$) (Apply (Apply AttrSym0 LastNameSym0) STRINGSym0)) (Apply (Apply (:@#@$) (Apply (Apply AttrSym0 FirstNameSym0) STRINGSym0)) (Apply (Apply (:@#@$) (Apply (Apply AttrSym0 YearNameSym0) NATSym0)) (Apply (Apply (:@#@$) (Apply (Apply AttrSym0 GradeNameSym0) NATSym0)) (Apply (Apply (:@#@$) (Apply (Apply AttrSym0 MajorNameSym0) BOOLSym0)) '[])))))+ type family Names :: Schema where+ Names = Apply SchSym0 (Apply (Apply (:@#@$) (Apply (Apply AttrSym0 FirstNameSym0) STRINGSym0)) (Apply (Apply (:@#@$) (Apply (Apply AttrSym0 LastNameSym0) STRINGSym0)) '[]))+ sMajorName :: Sing (MajorNameSym0 :: [AChar])+ sGradeName :: Sing (GradeNameSym0 :: [AChar])+ sYearName :: Sing (YearNameSym0 :: [AChar])+ sFirstName :: Sing (FirstNameSym0 :: [AChar])+ sLastName :: Sing (LastNameSym0 :: [AChar])+ sGradingSchema :: Sing (GradingSchemaSym0 :: Schema)+ sNames :: Sing (NamesSym0 :: Schema)+ sMajorName+ = (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCM))+ ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCA))+ ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCJ))+ ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCO))+ ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCR)) SNil))))+ sGradeName+ = (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCG))+ ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCR))+ ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCA))+ ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCD))+ ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCE)) SNil))))+ sYearName+ = (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCY))+ ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCE))+ ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCA))+ ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCR)) SNil)))+ sFirstName+ = (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCF))+ ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCI))+ ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCR))+ ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCS))+ ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCT)) SNil))))+ sLastName+ = (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCL))+ ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCA))+ ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCS))+ ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SCT)) SNil)))+ sGradingSchema+ = (applySing ((singFun1 @SchSym0) SSch))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing ((applySing ((singFun2 @AttrSym0) SAttr)) sLastName))+ SSTRING)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing ((applySing ((singFun2 @AttrSym0) SAttr)) sFirstName))+ SSTRING)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing ((applySing ((singFun2 @AttrSym0) SAttr)) sYearName))+ SNAT)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing ((applySing ((singFun2 @AttrSym0) SAttr)) sGradeName))+ SNAT)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing ((applySing ((singFun2 @AttrSym0) SAttr)) sMajorName))+ SBOOL)))+ SNil)))))+ sNames+ = (applySing ((singFun1 @SchSym0) SSch))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing ((applySing ((singFun2 @AttrSym0) SAttr)) sFirstName))+ SSTRING)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing ((applySing ((singFun2 @AttrSym0) SAttr)) sLastName))+ SSTRING)))+ SNil))
− tests/compile-and-dump/InsertionSort/InsertionSortImp.ghc84.template
@@ -1,177 +0,0 @@-InsertionSort/InsertionSortImp.hs:(0,0)-(0,0): Splicing declarations- singletons [d| data Nat = Zero | Succ Nat |]- ======>- data Nat = Zero | Succ Nat- type ZeroSym0 = Zero- type SuccSym1 (t :: Nat) = Succ t- instance SuppressUnusedWarnings SuccSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) SuccSym0KindInference) GHC.Tuple.())- data SuccSym0 (l :: TyFun Nat Nat)- = forall arg. SameKind (Apply SuccSym0 arg) (SuccSym1 arg) =>- SuccSym0KindInference- type instance Apply SuccSym0 l = Succ l- data instance Sing (z :: Nat)- where- SZero :: Sing Zero- SSucc :: forall (n :: Nat). (Sing (n :: Nat)) -> Sing (Succ n)- type SNat = (Sing :: Nat -> Type)- instance SingKind Nat where- type Demote Nat = Nat- fromSing SZero = Zero- fromSing (SSucc b) = Succ (fromSing b)- toSing Zero = SomeSing SZero- toSing (Succ (b :: Demote Nat))- = case toSing b :: SomeSing Nat of {- SomeSing c -> SomeSing (SSucc c) }- instance SingI Zero where- sing = SZero- instance SingI n => SingI (Succ (n :: Nat)) where- sing = SSucc sing-InsertionSort/InsertionSortImp.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| leq :: Nat -> Nat -> Bool- leq Zero _ = True- leq (Succ _) Zero = False- leq (Succ a) (Succ b) = leq a b- insert :: Nat -> [Nat] -> [Nat]- insert n [] = [n]- insert n (h : t)- = if leq n h then (n : h : t) else h : (insert n t)- insertionSort :: [Nat] -> [Nat]- insertionSort [] = []- insertionSort (h : t) = insert h (insertionSort t) |]- ======>- leq :: Nat -> Nat -> Bool- leq Zero _ = True- leq (Succ _) Zero = False- leq (Succ a) (Succ b) = (leq a) b- insert :: Nat -> [Nat] -> [Nat]- insert n GHC.Types.[] = [n]- insert n (h GHC.Types.: t)- = if (leq n) h then- (n GHC.Types.: (h GHC.Types.: t))- else- (h GHC.Types.: ((insert n) t))- insertionSort :: [Nat] -> [Nat]- insertionSort GHC.Types.[] = []- insertionSort (h GHC.Types.: t) = (insert h) (insertionSort t)- type Let0123456789876543210Scrutinee_0123456789876543210Sym3 t t t =- Let0123456789876543210Scrutinee_0123456789876543210 t t t- instance SuppressUnusedWarnings Let0123456789876543210Scrutinee_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,)- Let0123456789876543210Scrutinee_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data Let0123456789876543210Scrutinee_0123456789876543210Sym2 l l l- = forall arg. SameKind (Apply (Let0123456789876543210Scrutinee_0123456789876543210Sym2 l l) arg) (Let0123456789876543210Scrutinee_0123456789876543210Sym3 l l arg) =>- Let0123456789876543210Scrutinee_0123456789876543210Sym2KindInference- type instance Apply (Let0123456789876543210Scrutinee_0123456789876543210Sym2 l l) l = Let0123456789876543210Scrutinee_0123456789876543210 l l l- instance SuppressUnusedWarnings Let0123456789876543210Scrutinee_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,)- Let0123456789876543210Scrutinee_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Let0123456789876543210Scrutinee_0123456789876543210Sym1 l l- = forall arg. SameKind (Apply (Let0123456789876543210Scrutinee_0123456789876543210Sym1 l) arg) (Let0123456789876543210Scrutinee_0123456789876543210Sym2 l arg) =>- Let0123456789876543210Scrutinee_0123456789876543210Sym1KindInference- type instance Apply (Let0123456789876543210Scrutinee_0123456789876543210Sym1 l) l = Let0123456789876543210Scrutinee_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings Let0123456789876543210Scrutinee_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,)- Let0123456789876543210Scrutinee_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Let0123456789876543210Scrutinee_0123456789876543210Sym0 l- = forall arg. SameKind (Apply Let0123456789876543210Scrutinee_0123456789876543210Sym0 arg) (Let0123456789876543210Scrutinee_0123456789876543210Sym1 arg) =>- Let0123456789876543210Scrutinee_0123456789876543210Sym0KindInference- type instance Apply Let0123456789876543210Scrutinee_0123456789876543210Sym0 l = Let0123456789876543210Scrutinee_0123456789876543210Sym1 l- type family Let0123456789876543210Scrutinee_0123456789876543210 n h t where- Let0123456789876543210Scrutinee_0123456789876543210 n h t = Apply (Apply LeqSym0 n) h- type family Case_0123456789876543210 n h t t where- Case_0123456789876543210 n h t True = Apply (Apply (:@#@$) n) (Apply (Apply (:@#@$) h) t)- Case_0123456789876543210 n h t False = Apply (Apply (:@#@$) h) (Apply (Apply InsertSym0 n) t)- type LeqSym2 (t :: Nat) (t :: Nat) = Leq t t- instance SuppressUnusedWarnings LeqSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) LeqSym1KindInference) GHC.Tuple.())- data LeqSym1 (l :: Nat) (l :: TyFun Nat Bool)- = forall arg. SameKind (Apply (LeqSym1 l) arg) (LeqSym2 l arg) =>- LeqSym1KindInference- type instance Apply (LeqSym1 l) l = Leq l l- instance SuppressUnusedWarnings LeqSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) LeqSym0KindInference) GHC.Tuple.())- data LeqSym0 (l :: TyFun Nat (TyFun Nat Bool -> Type))- = forall arg. SameKind (Apply LeqSym0 arg) (LeqSym1 arg) =>- LeqSym0KindInference- type instance Apply LeqSym0 l = LeqSym1 l- type InsertSym2 (t :: Nat) (t :: [Nat]) = Insert t t- instance SuppressUnusedWarnings InsertSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) InsertSym1KindInference) GHC.Tuple.())- data InsertSym1 (l :: Nat) (l :: TyFun [Nat] [Nat])- = forall arg. SameKind (Apply (InsertSym1 l) arg) (InsertSym2 l arg) =>- InsertSym1KindInference- type instance Apply (InsertSym1 l) l = Insert l l- instance SuppressUnusedWarnings InsertSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) InsertSym0KindInference) GHC.Tuple.())- data InsertSym0 (l :: TyFun Nat (TyFun [Nat] [Nat] -> Type))- = forall arg. SameKind (Apply InsertSym0 arg) (InsertSym1 arg) =>- InsertSym0KindInference- type instance Apply InsertSym0 l = InsertSym1 l- type InsertionSortSym1 (t :: [Nat]) = InsertionSort t- instance SuppressUnusedWarnings InsertionSortSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) InsertionSortSym0KindInference) GHC.Tuple.())- data InsertionSortSym0 (l :: TyFun [Nat] [Nat])- = forall arg. SameKind (Apply InsertionSortSym0 arg) (InsertionSortSym1 arg) =>- InsertionSortSym0KindInference- type instance Apply InsertionSortSym0 l = InsertionSort l- type family Leq (a :: Nat) (a :: Nat) :: Bool where- Leq Zero _ = TrueSym0- Leq (Succ _) Zero = FalseSym0- Leq (Succ a) (Succ b) = Apply (Apply LeqSym0 a) b- type family Insert (a :: Nat) (a :: [Nat]) :: [Nat] where- Insert n '[] = Apply (Apply (:@#@$) n) '[]- Insert n ((:) h t) = Case_0123456789876543210 n h t (Let0123456789876543210Scrutinee_0123456789876543210Sym3 n h t)- type family InsertionSort (a :: [Nat]) :: [Nat] where- InsertionSort '[] = '[]- InsertionSort ((:) h t) = Apply (Apply InsertSym0 h) (Apply InsertionSortSym0 t)- sLeq ::- forall (t :: Nat) (t :: Nat).- Sing t -> Sing t -> Sing (Apply (Apply LeqSym0 t) t :: Bool)- sInsert ::- forall (t :: Nat) (t :: [Nat]).- Sing t -> Sing t -> Sing (Apply (Apply InsertSym0 t) t :: [Nat])- sInsertionSort ::- forall (t :: [Nat]).- Sing t -> Sing (Apply InsertionSortSym0 t :: [Nat])- sLeq SZero _ = STrue- sLeq (SSucc _) SZero = SFalse- sLeq (SSucc (sA :: Sing a)) (SSucc (sB :: Sing b))- = (applySing ((applySing ((singFun2 @LeqSym0) sLeq)) sA)) sB- sInsert (sN :: Sing n) SNil- = (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) sN)) SNil- sInsert (sN :: Sing n) (SCons (sH :: Sing h) (sT :: Sing t))- = let- sScrutinee_0123456789876543210 ::- Sing (Let0123456789876543210Scrutinee_0123456789876543210Sym3 n h t)- sScrutinee_0123456789876543210- = (applySing ((applySing ((singFun2 @LeqSym0) sLeq)) sN)) sH- in case sScrutinee_0123456789876543210 of- STrue- -> (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) sN))- ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) sH)) sT)- SFalse- -> (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) sH))- ((applySing ((applySing ((singFun2 @InsertSym0) sInsert)) sN))- sT) ::- Sing (Case_0123456789876543210 n h t (Let0123456789876543210Scrutinee_0123456789876543210Sym3 n h t) :: [Nat])- sInsertionSort SNil = SNil- sInsertionSort (SCons (sH :: Sing h) (sT :: Sing t))- = (applySing ((applySing ((singFun2 @InsertSym0) sInsert)) sH))- ((applySing ((singFun1 @InsertionSortSym0) sInsertionSort)) sT)
+ tests/compile-and-dump/InsertionSort/InsertionSortImp.ghc86.template view
@@ -0,0 +1,212 @@+InsertionSort/InsertionSortImp.hs:(0,0)-(0,0): Splicing declarations+ singletons [d| data Nat = Zero | Succ Nat |]+ ======>+ data Nat = Zero | Succ Nat+ type ZeroSym0 = Zero+ type SuccSym1 (t0123456789876543210 :: Nat) =+ Succ t0123456789876543210+ instance SuppressUnusedWarnings SuccSym0 where+ suppressUnusedWarnings = snd (((,) SuccSym0KindInference) ())+ data SuccSym0 :: (~>) Nat Nat+ where+ SuccSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply SuccSym0 arg) (SuccSym1 arg) =>+ SuccSym0 t0123456789876543210+ type instance Apply SuccSym0 t0123456789876543210 = Succ t0123456789876543210+ data instance Sing :: Nat -> Type+ where+ SZero :: Sing Zero+ SSucc :: forall (n :: Nat). (Sing (n :: Nat)) -> Sing (Succ n)+ type SNat = (Sing :: Nat -> Type)+ instance SingKind Nat where+ type Demote Nat = Nat+ fromSing SZero = Zero+ fromSing (SSucc b) = Succ (fromSing b)+ toSing Zero = SomeSing SZero+ toSing (Succ (b :: Demote Nat))+ = case toSing b :: SomeSing Nat of {+ SomeSing c -> SomeSing (SSucc c) }+ instance SingI Zero where+ sing = SZero+ instance SingI n => SingI (Succ (n :: Nat)) where+ sing = SSucc sing+ instance SingI (SuccSym0 :: (~>) Nat Nat) where+ sing = (singFun1 @SuccSym0) SSucc+ instance SingI (TyCon1 Succ :: (~>) Nat Nat) where+ sing = (singFun1 @(TyCon1 Succ)) SSucc+InsertionSort/InsertionSortImp.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| leq :: Nat -> Nat -> Bool+ leq Zero _ = True+ leq (Succ _) Zero = False+ leq (Succ a) (Succ b) = leq a b+ insert :: Nat -> [Nat] -> [Nat]+ insert n [] = [n]+ insert n (h : t)+ = if leq n h then (n : h : t) else h : (insert n t)+ insertionSort :: [Nat] -> [Nat]+ insertionSort [] = []+ insertionSort (h : t) = insert h (insertionSort t) |]+ ======>+ leq :: Nat -> Nat -> Bool+ leq Zero _ = True+ leq (Succ _) Zero = False+ leq (Succ a) (Succ b) = (leq a) b+ insert :: Nat -> [Nat] -> [Nat]+ insert n [] = [n]+ insert n (h : t)+ = if (leq n) h then (n : (h : t)) else (h : (insert n) t)+ insertionSort :: [Nat] -> [Nat]+ insertionSort [] = []+ insertionSort (h : t) = (insert h) (insertionSort t)+ type Let0123456789876543210Scrutinee_0123456789876543210Sym3 n0123456789876543210 h0123456789876543210 t0123456789876543210 =+ Let0123456789876543210Scrutinee_0123456789876543210 n0123456789876543210 h0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Let0123456789876543210Scrutinee_0123456789876543210Sym2 h0123456789876543210 n0123456789876543210) where+ suppressUnusedWarnings+ = snd+ (((,)+ Let0123456789876543210Scrutinee_0123456789876543210Sym2KindInference)+ ())+ data Let0123456789876543210Scrutinee_0123456789876543210Sym2 n0123456789876543210 h0123456789876543210 t0123456789876543210+ where+ Let0123456789876543210Scrutinee_0123456789876543210Sym2KindInference :: forall n0123456789876543210+ h0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Let0123456789876543210Scrutinee_0123456789876543210Sym2 n0123456789876543210 h0123456789876543210) arg) (Let0123456789876543210Scrutinee_0123456789876543210Sym3 n0123456789876543210 h0123456789876543210 arg) =>+ Let0123456789876543210Scrutinee_0123456789876543210Sym2 n0123456789876543210 h0123456789876543210 t0123456789876543210+ type instance Apply (Let0123456789876543210Scrutinee_0123456789876543210Sym2 h0123456789876543210 n0123456789876543210) t0123456789876543210 = Let0123456789876543210Scrutinee_0123456789876543210 h0123456789876543210 n0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Let0123456789876543210Scrutinee_0123456789876543210Sym1 n0123456789876543210) where+ suppressUnusedWarnings+ = snd+ (((,)+ Let0123456789876543210Scrutinee_0123456789876543210Sym1KindInference)+ ())+ data Let0123456789876543210Scrutinee_0123456789876543210Sym1 n0123456789876543210 h0123456789876543210+ where+ Let0123456789876543210Scrutinee_0123456789876543210Sym1KindInference :: forall n0123456789876543210+ h0123456789876543210+ arg. SameKind (Apply (Let0123456789876543210Scrutinee_0123456789876543210Sym1 n0123456789876543210) arg) (Let0123456789876543210Scrutinee_0123456789876543210Sym2 n0123456789876543210 arg) =>+ Let0123456789876543210Scrutinee_0123456789876543210Sym1 n0123456789876543210 h0123456789876543210+ type instance Apply (Let0123456789876543210Scrutinee_0123456789876543210Sym1 n0123456789876543210) h0123456789876543210 = Let0123456789876543210Scrutinee_0123456789876543210Sym2 n0123456789876543210 h0123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210Scrutinee_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd+ (((,)+ Let0123456789876543210Scrutinee_0123456789876543210Sym0KindInference)+ ())+ data Let0123456789876543210Scrutinee_0123456789876543210Sym0 n0123456789876543210+ where+ Let0123456789876543210Scrutinee_0123456789876543210Sym0KindInference :: forall n0123456789876543210+ arg. SameKind (Apply Let0123456789876543210Scrutinee_0123456789876543210Sym0 arg) (Let0123456789876543210Scrutinee_0123456789876543210Sym1 arg) =>+ Let0123456789876543210Scrutinee_0123456789876543210Sym0 n0123456789876543210+ type instance Apply Let0123456789876543210Scrutinee_0123456789876543210Sym0 n0123456789876543210 = Let0123456789876543210Scrutinee_0123456789876543210Sym1 n0123456789876543210+ type family Let0123456789876543210Scrutinee_0123456789876543210 n h t where+ Let0123456789876543210Scrutinee_0123456789876543210 n h t = Apply (Apply LeqSym0 n) h+ type family Case_0123456789876543210 n h t t where+ Case_0123456789876543210 n h t 'True = Apply (Apply (:@#@$) n) (Apply (Apply (:@#@$) h) t)+ Case_0123456789876543210 n h t 'False = Apply (Apply (:@#@$) h) (Apply (Apply InsertSym0 n) t)+ type LeqSym2 (a0123456789876543210 :: Nat) (a0123456789876543210 :: Nat) =+ Leq a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (LeqSym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) LeqSym1KindInference) ())+ data LeqSym1 (a0123456789876543210 :: Nat) :: (~>) Nat Bool+ where+ LeqSym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (LeqSym1 a0123456789876543210) arg) (LeqSym2 a0123456789876543210 arg) =>+ LeqSym1 a0123456789876543210 a0123456789876543210+ type instance Apply (LeqSym1 a0123456789876543210) a0123456789876543210 = Leq a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings LeqSym0 where+ suppressUnusedWarnings = snd (((,) LeqSym0KindInference) ())+ data LeqSym0 :: (~>) Nat ((~>) Nat Bool)+ where+ LeqSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply LeqSym0 arg) (LeqSym1 arg) =>+ LeqSym0 a0123456789876543210+ type instance Apply LeqSym0 a0123456789876543210 = LeqSym1 a0123456789876543210+ type InsertSym2 (a0123456789876543210 :: Nat) (a0123456789876543210 :: [Nat]) =+ Insert a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (InsertSym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) InsertSym1KindInference) ())+ data InsertSym1 (a0123456789876543210 :: Nat) :: (~>) [Nat] [Nat]+ where+ InsertSym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (InsertSym1 a0123456789876543210) arg) (InsertSym2 a0123456789876543210 arg) =>+ InsertSym1 a0123456789876543210 a0123456789876543210+ type instance Apply (InsertSym1 a0123456789876543210) a0123456789876543210 = Insert a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings InsertSym0 where+ suppressUnusedWarnings = snd (((,) InsertSym0KindInference) ())+ data InsertSym0 :: (~>) Nat ((~>) [Nat] [Nat])+ where+ InsertSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply InsertSym0 arg) (InsertSym1 arg) =>+ InsertSym0 a0123456789876543210+ type instance Apply InsertSym0 a0123456789876543210 = InsertSym1 a0123456789876543210+ type InsertionSortSym1 (a0123456789876543210 :: [Nat]) =+ InsertionSort a0123456789876543210+ instance SuppressUnusedWarnings InsertionSortSym0 where+ suppressUnusedWarnings+ = snd (((,) InsertionSortSym0KindInference) ())+ data InsertionSortSym0 :: (~>) [Nat] [Nat]+ where+ InsertionSortSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply InsertionSortSym0 arg) (InsertionSortSym1 arg) =>+ InsertionSortSym0 a0123456789876543210+ type instance Apply InsertionSortSym0 a0123456789876543210 = InsertionSort a0123456789876543210+ type family Leq (a :: Nat) (a :: Nat) :: Bool where+ Leq 'Zero _ = TrueSym0+ Leq ( 'Succ _) 'Zero = FalseSym0+ Leq ( 'Succ a) ( 'Succ b) = Apply (Apply LeqSym0 a) b+ type family Insert (a :: Nat) (a :: [Nat]) :: [Nat] where+ Insert n '[] = Apply (Apply (:@#@$) n) '[]+ Insert n ( '(:) h t) = Case_0123456789876543210 n h t (Let0123456789876543210Scrutinee_0123456789876543210Sym3 n h t)+ type family InsertionSort (a :: [Nat]) :: [Nat] where+ InsertionSort '[] = '[]+ InsertionSort ( '(:) h t) = Apply (Apply InsertSym0 h) (Apply InsertionSortSym0 t)+ sLeq ::+ forall (t :: Nat) (t :: Nat).+ Sing t -> Sing t -> Sing (Apply (Apply LeqSym0 t) t :: Bool)+ sInsert ::+ forall (t :: Nat) (t :: [Nat]).+ Sing t -> Sing t -> Sing (Apply (Apply InsertSym0 t) t :: [Nat])+ sInsertionSort ::+ forall (t :: [Nat]).+ Sing t -> Sing (Apply InsertionSortSym0 t :: [Nat])+ sLeq SZero _ = STrue+ sLeq (SSucc _) SZero = SFalse+ sLeq (SSucc (sA :: Sing a)) (SSucc (sB :: Sing b))+ = (applySing ((applySing ((singFun2 @LeqSym0) sLeq)) sA)) sB+ sInsert (sN :: Sing n) SNil+ = (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) sN)) SNil+ sInsert (sN :: Sing n) (SCons (sH :: Sing h) (sT :: Sing t))+ = let+ sScrutinee_0123456789876543210 ::+ Sing (Let0123456789876543210Scrutinee_0123456789876543210Sym3 n h t)+ sScrutinee_0123456789876543210+ = (applySing ((applySing ((singFun2 @LeqSym0) sLeq)) sN)) sH+ in (case sScrutinee_0123456789876543210 of+ STrue+ -> (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) sN))+ ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) sH)) sT)+ SFalse+ -> (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) sH))+ ((applySing ((applySing ((singFun2 @InsertSym0) sInsert)) sN))+ sT)) ::+ Sing (Case_0123456789876543210 n h t (Let0123456789876543210Scrutinee_0123456789876543210Sym3 n h t) :: [Nat])+ sInsertionSort SNil = SNil+ sInsertionSort (SCons (sH :: Sing h) (sT :: Sing t))+ = (applySing ((applySing ((singFun2 @InsertSym0) sInsert)) sH))+ ((applySing ((singFun1 @InsertionSortSym0) sInsertionSort)) sT)+ instance SingI (LeqSym0 :: (~>) Nat ((~>) Nat Bool)) where+ sing = (singFun2 @LeqSym0) sLeq+ instance SingI d =>+ SingI (LeqSym1 (d :: Nat) :: (~>) Nat Bool) where+ sing = (singFun1 @(LeqSym1 (d :: Nat))) (sLeq (sing @d))+ instance SingI (InsertSym0 :: (~>) Nat ((~>) [Nat] [Nat])) where+ sing = (singFun2 @InsertSym0) sInsert+ instance SingI d =>+ SingI (InsertSym1 (d :: Nat) :: (~>) [Nat] [Nat]) where+ sing = (singFun1 @(InsertSym1 (d :: Nat))) (sInsert (sing @d))+ instance SingI (InsertionSortSym0 :: (~>) [Nat] [Nat]) where+ sing = (singFun1 @InsertionSortSym0) sInsertionSort
− tests/compile-and-dump/Promote/Constructors.ghc84.template
@@ -1,70 +0,0 @@-Promote/Constructors.hs:(0,0)-(0,0): Splicing declarations- promote- [d| data Foo = Foo | Foo :+ Foo- data Bar = Bar Bar Bar Bar Bar Foo |]- ======>- data Foo = Foo | Foo :+ Foo- data Bar = Bar Bar Bar Bar Bar Foo- type FooSym0 = Foo- type (:+@#@$$$) (t :: Foo) (t :: Foo) = (:+) t t- instance SuppressUnusedWarnings (:+@#@$$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (::+@#@$$###)) GHC.Tuple.())- data (:+@#@$$) (l :: Foo) (l :: TyFun Foo Foo)- = forall arg. SameKind (Apply ((:+@#@$$) l) arg) ((:+@#@$$$) l arg) =>- (::+@#@$$###)- type instance Apply ((:+@#@$$) l) l = (:+) l l- instance SuppressUnusedWarnings (:+@#@$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (::+@#@$###)) GHC.Tuple.())- data (:+@#@$) (l :: TyFun Foo (TyFun Foo Foo -> GHC.Types.Type))- = forall arg. SameKind (Apply (:+@#@$) arg) ((:+@#@$$) arg) =>- (::+@#@$###)- type instance Apply (:+@#@$) l = (:+@#@$$) l- type BarSym5 (t :: Bar) (t :: Bar) (t :: Bar) (t :: Bar) (t :: Foo) =- Bar t t t t t- instance SuppressUnusedWarnings BarSym4 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) BarSym4KindInference) GHC.Tuple.())- data BarSym4 (l :: Bar) (l :: Bar) (l :: Bar) (l :: Bar) (l :: TyFun Foo Bar)- = forall arg. SameKind (Apply (BarSym4 l l l l) arg) (BarSym5 l l l l arg) =>- BarSym4KindInference- type instance Apply (BarSym4 l l l l) l = Bar l l l l l- instance SuppressUnusedWarnings BarSym3 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) BarSym3KindInference) GHC.Tuple.())- data BarSym3 (l :: Bar) (l :: Bar) (l :: Bar) (l :: TyFun Bar (TyFun Foo Bar- -> GHC.Types.Type))- = forall arg. SameKind (Apply (BarSym3 l l l) arg) (BarSym4 l l l arg) =>- BarSym3KindInference- type instance Apply (BarSym3 l l l) l = BarSym4 l l l l- instance SuppressUnusedWarnings BarSym2 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) BarSym2KindInference) GHC.Tuple.())- data BarSym2 (l :: Bar) (l :: Bar) (l :: TyFun Bar (TyFun Bar (TyFun Foo Bar- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply (BarSym2 l l) arg) (BarSym3 l l arg) =>- BarSym2KindInference- type instance Apply (BarSym2 l l) l = BarSym3 l l l- instance SuppressUnusedWarnings BarSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) BarSym1KindInference) GHC.Tuple.())- data BarSym1 (l :: Bar) (l :: TyFun Bar (TyFun Bar (TyFun Bar (TyFun Foo Bar- -> GHC.Types.Type)- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply (BarSym1 l) arg) (BarSym2 l arg) =>- BarSym1KindInference- type instance Apply (BarSym1 l) l = BarSym2 l l- instance SuppressUnusedWarnings BarSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) BarSym0KindInference) GHC.Tuple.())- data BarSym0 (l :: TyFun Bar (TyFun Bar (TyFun Bar (TyFun Bar (TyFun Foo Bar- -> GHC.Types.Type)- -> GHC.Types.Type)- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply BarSym0 arg) (BarSym1 arg) =>- BarSym0KindInference- type instance Apply BarSym0 l = BarSym1 l
+ tests/compile-and-dump/Promote/Constructors.ghc86.template view
@@ -0,0 +1,79 @@+Promote/Constructors.hs:(0,0)-(0,0): Splicing declarations+ promote+ [d| data Foo = Foo | Foo :+ Foo+ data Bar = Bar Bar Bar Bar Bar Foo |]+ ======>+ data Foo = Foo | Foo :+ Foo+ data Bar = Bar Bar Bar Bar Bar Foo+ type FooSym0 = Foo+ type (:+@#@$$$) (t0123456789876543210 :: Foo) (t0123456789876543210 :: Foo) =+ (:+) t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings ((:+@#@$$) t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) (::+@#@$$###)) ())+ data (:+@#@$$) (t0123456789876543210 :: Foo) :: (~>) Foo Foo+ where+ (::+@#@$$###) :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply ((:+@#@$$) t0123456789876543210) arg) ((:+@#@$$$) t0123456789876543210 arg) =>+ (:+@#@$$) t0123456789876543210 t0123456789876543210+ type instance Apply ((:+@#@$$) t0123456789876543210) t0123456789876543210 = (:+) t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (:+@#@$) where+ suppressUnusedWarnings = snd (((,) (::+@#@$###)) ())+ data (:+@#@$) :: (~>) Foo ((~>) Foo Foo)+ where+ (::+@#@$###) :: forall t0123456789876543210+ arg. SameKind (Apply (:+@#@$) arg) ((:+@#@$$) arg) =>+ (:+@#@$) t0123456789876543210+ type instance Apply (:+@#@$) t0123456789876543210 = (:+@#@$$) t0123456789876543210+ type BarSym5 (t0123456789876543210 :: Bar) (t0123456789876543210 :: Bar) (t0123456789876543210 :: Bar) (t0123456789876543210 :: Bar) (t0123456789876543210 :: Foo) =+ Bar t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (BarSym4 t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) BarSym4KindInference) ())+ data BarSym4 (t0123456789876543210 :: Bar) (t0123456789876543210 :: Bar) (t0123456789876543210 :: Bar) (t0123456789876543210 :: Bar) :: (~>) Foo Bar+ where+ BarSym4KindInference :: forall t0123456789876543210+ t0123456789876543210+ t0123456789876543210+ t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (BarSym4 t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210) arg) (BarSym5 t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210 arg) =>+ BarSym4 t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210+ type instance Apply (BarSym4 t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210) t0123456789876543210 = Bar t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (BarSym3 t0123456789876543210 t0123456789876543210 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) BarSym3KindInference) ())+ data BarSym3 (t0123456789876543210 :: Bar) (t0123456789876543210 :: Bar) (t0123456789876543210 :: Bar) :: (~>) Bar ((~>) Foo Bar)+ where+ BarSym3KindInference :: forall t0123456789876543210+ t0123456789876543210+ t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (BarSym3 t0123456789876543210 t0123456789876543210 t0123456789876543210) arg) (BarSym4 t0123456789876543210 t0123456789876543210 t0123456789876543210 arg) =>+ BarSym3 t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210+ type instance Apply (BarSym3 t0123456789876543210 t0123456789876543210 t0123456789876543210) t0123456789876543210 = BarSym4 t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (BarSym2 t0123456789876543210 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) BarSym2KindInference) ())+ data BarSym2 (t0123456789876543210 :: Bar) (t0123456789876543210 :: Bar) :: (~>) Bar ((~>) Bar ((~>) Foo Bar))+ where+ BarSym2KindInference :: forall t0123456789876543210+ t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (BarSym2 t0123456789876543210 t0123456789876543210) arg) (BarSym3 t0123456789876543210 t0123456789876543210 arg) =>+ BarSym2 t0123456789876543210 t0123456789876543210 t0123456789876543210+ type instance Apply (BarSym2 t0123456789876543210 t0123456789876543210) t0123456789876543210 = BarSym3 t0123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (BarSym1 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) BarSym1KindInference) ())+ data BarSym1 (t0123456789876543210 :: Bar) :: (~>) Bar ((~>) Bar ((~>) Bar ((~>) Foo Bar)))+ where+ BarSym1KindInference :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (BarSym1 t0123456789876543210) arg) (BarSym2 t0123456789876543210 arg) =>+ BarSym1 t0123456789876543210 t0123456789876543210+ type instance Apply (BarSym1 t0123456789876543210) t0123456789876543210 = BarSym2 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings BarSym0 where+ suppressUnusedWarnings = snd (((,) BarSym0KindInference) ())+ data BarSym0 :: (~>) Bar ((~>) Bar ((~>) Bar ((~>) Bar ((~>) Foo Bar))))+ where+ BarSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply BarSym0 arg) (BarSym1 arg) =>+ BarSym0 t0123456789876543210+ type instance Apply BarSym0 t0123456789876543210 = BarSym1 t0123456789876543210
tests/compile-and-dump/Promote/Constructors.hs view
@@ -1,5 +1,3 @@-{-# OPTIONS_GHC -Wno-unused-imports #-}- module Promote.Constructors where import Data.Singletons.SuppressUnusedWarnings
− tests/compile-and-dump/Promote/GenDefunSymbols.ghc84.template
@@ -1,47 +0,0 @@-Promote/GenDefunSymbols.hs:0:0:: Splicing declarations- genDefunSymbols [''LiftMaybe, ''NatT, ''(:+)]- ======>- type LiftMaybeSym2 (t :: TyFun a0123456789876543210 b0123456789876543210- -> Type) (t :: Maybe a0123456789876543210) =- LiftMaybe t t- instance SuppressUnusedWarnings LiftMaybeSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) LiftMaybeSym1KindInference) GHC.Tuple.())- data LiftMaybeSym1 (l :: TyFun a0123456789876543210 b0123456789876543210- -> Type) (l :: TyFun (Maybe a0123456789876543210) (Maybe b0123456789876543210))- = forall arg. Data.Singletons.Internal.SameKind (Apply (LiftMaybeSym1 l) arg) (LiftMaybeSym2 l arg) =>- LiftMaybeSym1KindInference- type instance Apply (LiftMaybeSym1 l) l = LiftMaybe l l- instance SuppressUnusedWarnings LiftMaybeSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) LiftMaybeSym0KindInference) GHC.Tuple.())- data LiftMaybeSym0 (l :: TyFun (TyFun a0123456789876543210 b0123456789876543210- -> Type) (TyFun (Maybe a0123456789876543210) (Maybe b0123456789876543210)- -> Type))- = forall arg. Data.Singletons.Internal.SameKind (Apply LiftMaybeSym0 arg) (LiftMaybeSym1 arg) =>- LiftMaybeSym0KindInference- type instance Apply LiftMaybeSym0 l = LiftMaybeSym1 l- type ZeroSym0 = Zero- type SuccSym1 (t :: NatT) = Succ t- instance SuppressUnusedWarnings SuccSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) SuccSym0KindInference) GHC.Tuple.())- data SuccSym0 (l :: TyFun NatT NatT)- = forall arg. Data.Singletons.Internal.SameKind (Apply SuccSym0 arg) (SuccSym1 arg) =>- SuccSym0KindInference- type instance Apply SuccSym0 l = Succ l- type (:+@#@$$$) (t :: Nat) (t :: Nat) = (:+) t t- instance SuppressUnusedWarnings (:+@#@$$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (::+@#@$$###)) GHC.Tuple.())- data (:+@#@$$) (l :: Nat) l- = forall arg. Data.Singletons.Internal.SameKind (Apply ((:+@#@$$) l) arg) ((:+@#@$$$) l arg) =>- (::+@#@$$###)- type instance Apply ((:+@#@$$) l) l = (:+) l l- instance SuppressUnusedWarnings (:+@#@$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (::+@#@$###)) GHC.Tuple.())- data (:+@#@$) l- = forall arg. Data.Singletons.Internal.SameKind (Apply (:+@#@$) arg) ((:+@#@$$) arg) =>- (::+@#@$###)- type instance Apply (:+@#@$) l = (:+@#@$$) l
+ tests/compile-and-dump/Promote/GenDefunSymbols.ghc86.template view
@@ -0,0 +1,54 @@+Promote/GenDefunSymbols.hs:0:0:: Splicing declarations+ genDefunSymbols [''LiftMaybe, ''NatT, ''(:+)]+ ======>+ type LiftMaybeSym2 (f0123456789876543210 :: (~>) a0123456789876543210 b0123456789876543210) (x0123456789876543210 :: Maybe a0123456789876543210) =+ LiftMaybe f0123456789876543210 x0123456789876543210+ instance SuppressUnusedWarnings (LiftMaybeSym1 f0123456789876543210) where+ suppressUnusedWarnings = snd (((,) LiftMaybeSym1KindInference) ())+ data LiftMaybeSym1 (f0123456789876543210 :: (~>) a0123456789876543210 b0123456789876543210) :: (~>) (Maybe a0123456789876543210) (Maybe b0123456789876543210)+ where+ LiftMaybeSym1KindInference :: forall f0123456789876543210+ x0123456789876543210+ arg. Data.Singletons.Internal.SameKind (Apply (LiftMaybeSym1 f0123456789876543210) arg) (LiftMaybeSym2 f0123456789876543210 arg) =>+ LiftMaybeSym1 f0123456789876543210 x0123456789876543210+ type instance Apply (LiftMaybeSym1 f0123456789876543210) x0123456789876543210 = LiftMaybe f0123456789876543210 x0123456789876543210+ instance SuppressUnusedWarnings LiftMaybeSym0 where+ suppressUnusedWarnings = snd (((,) LiftMaybeSym0KindInference) ())+ data LiftMaybeSym0 :: forall a0123456789876543210+ b0123456789876543210.+ (~>) ((~>) a0123456789876543210 b0123456789876543210) ((~>) (Maybe a0123456789876543210) (Maybe b0123456789876543210))+ where+ LiftMaybeSym0KindInference :: forall f0123456789876543210+ arg. Data.Singletons.Internal.SameKind (Apply LiftMaybeSym0 arg) (LiftMaybeSym1 arg) =>+ LiftMaybeSym0 f0123456789876543210+ type instance Apply LiftMaybeSym0 f0123456789876543210 = LiftMaybeSym1 f0123456789876543210+ type ZeroSym0 = 'Zero+ type SuccSym1 (t0123456789876543210 :: NatT) =+ 'Succ t0123456789876543210+ instance SuppressUnusedWarnings SuccSym0 where+ suppressUnusedWarnings = snd (((,) SuccSym0KindInference) ())+ data SuccSym0 :: (~>) NatT NatT+ where+ SuccSym0KindInference :: forall t0123456789876543210+ arg. Data.Singletons.Internal.SameKind (Apply SuccSym0 arg) (SuccSym1 arg) =>+ SuccSym0 t0123456789876543210+ type instance Apply SuccSym0 t0123456789876543210 = 'Succ t0123456789876543210+ type (:+@#@$$$) (a0123456789876543210 :: Nat) (b0123456789876543210 :: Nat) =+ (:+) a0123456789876543210 b0123456789876543210+ instance SuppressUnusedWarnings ((:+@#@$$) a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) (::+@#@$$###)) ())+ data (:+@#@$$) (a0123456789876543210 :: Nat) b0123456789876543210+ where+ (::+@#@$$###) :: forall a0123456789876543210+ b0123456789876543210+ arg. Data.Singletons.Internal.SameKind (Apply ((:+@#@$$) a0123456789876543210) arg) ((:+@#@$$$) a0123456789876543210 arg) =>+ (:+@#@$$) a0123456789876543210 b0123456789876543210+ type instance Apply ((:+@#@$$) a0123456789876543210) b0123456789876543210 = (:+) a0123456789876543210 b0123456789876543210+ instance SuppressUnusedWarnings (:+@#@$) where+ suppressUnusedWarnings = snd (((,) (::+@#@$###)) ())+ data (:+@#@$) a0123456789876543210+ where+ (::+@#@$###) :: forall a0123456789876543210+ arg. Data.Singletons.Internal.SameKind (Apply (:+@#@$) arg) ((:+@#@$$) arg) =>+ (:+@#@$) a0123456789876543210+ type instance Apply (:+@#@$) a0123456789876543210 = (:+@#@$$) a0123456789876543210
tests/compile-and-dump/Promote/GenDefunSymbols.hs view
@@ -1,14 +1,12 @@-{-# OPTIONS_GHC -Wno-unused-imports #-}- module Promote.GenDefunSymbols where -import Data.Singletons (Apply, TyFun)-import Data.Singletons.Promote+import Data.Singletons (Apply, type (~>)) import Data.Singletons.SuppressUnusedWarnings+import Data.Singletons.TH (genDefunSymbols) import GHC.TypeLits hiding (type (*))-import Data.Kind+import Data.Kind (Type) -type family LiftMaybe (f :: TyFun a b -> *) (x :: Maybe a) :: Maybe b where+type family LiftMaybe (f :: a ~> b) (x :: Maybe a) :: Maybe b where LiftMaybe f Nothing = Nothing LiftMaybe f (Just a) = Just (Apply f a)
− tests/compile-and-dump/Promote/Newtypes.ghc84.template
@@ -1,42 +0,0 @@-Promote/Newtypes.hs:(0,0)-(0,0): Splicing declarations- promote- [d| newtype Foo- = Foo Nat- deriving Eq- newtype Bar = Bar {unBar :: Nat} |]- ======>- newtype Foo- = Foo Nat- deriving Eq- newtype Bar = Bar {unBar :: Nat}- type family Equals_0123456789876543210 (a :: Foo) (b :: Foo) :: Bool where- Equals_0123456789876543210 (Foo a) (Foo b) = (==) a b- Equals_0123456789876543210 (_ :: Foo) (_ :: Foo) = FalseSym0- instance PEq Foo where- type (==) a b = Equals_0123456789876543210 a b- type UnBarSym1 (t :: Bar) = UnBar t- instance SuppressUnusedWarnings UnBarSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) UnBarSym0KindInference) GHC.Tuple.())- data UnBarSym0 (l :: TyFun Bar Nat)- = forall arg. SameKind (Apply UnBarSym0 arg) (UnBarSym1 arg) =>- UnBarSym0KindInference- type instance Apply UnBarSym0 l = UnBar l- type family UnBar (a :: Bar) :: Nat where- UnBar (Bar field) = field- type FooSym1 (t :: Nat) = Foo t- instance SuppressUnusedWarnings FooSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) FooSym0KindInference) GHC.Tuple.())- data FooSym0 (l :: TyFun Nat Foo)- = forall arg. SameKind (Apply FooSym0 arg) (FooSym1 arg) =>- FooSym0KindInference- type instance Apply FooSym0 l = Foo l- type BarSym1 (t :: Nat) = Bar t- instance SuppressUnusedWarnings BarSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) BarSym0KindInference) GHC.Tuple.())- data BarSym0 (l :: TyFun Nat Bar)- = forall arg. SameKind (Apply BarSym0 arg) (BarSym1 arg) =>- BarSym0KindInference- type instance Apply BarSym0 l = Bar l
+ tests/compile-and-dump/Promote/Newtypes.ghc86.template view
@@ -0,0 +1,48 @@+Promote/Newtypes.hs:(0,0)-(0,0): Splicing declarations+ promote+ [d| newtype Foo+ = Foo Nat+ deriving Eq+ newtype Bar = Bar {unBar :: Nat} |]+ ======>+ newtype Foo+ = Foo Nat+ deriving Eq+ newtype Bar = Bar {unBar :: Nat}+ type family Equals_0123456789876543210 (a :: Foo) (b :: Foo) :: Bool where+ Equals_0123456789876543210 (Foo a) (Foo b) = (==) a b+ Equals_0123456789876543210 (_ :: Foo) (_ :: Foo) = FalseSym0+ instance PEq Foo where+ type (==) a b = Equals_0123456789876543210 a b+ type UnBarSym1 (a0123456789876543210 :: Bar) =+ UnBar a0123456789876543210+ instance SuppressUnusedWarnings UnBarSym0 where+ suppressUnusedWarnings = snd (((,) UnBarSym0KindInference) ())+ data UnBarSym0 :: (~>) Bar Nat+ where+ UnBarSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply UnBarSym0 arg) (UnBarSym1 arg) =>+ UnBarSym0 a0123456789876543210+ type instance Apply UnBarSym0 a0123456789876543210 = UnBar a0123456789876543210+ type family UnBar (a :: Bar) :: Nat where+ UnBar (Bar field) = field+ type FooSym1 (t0123456789876543210 :: Nat) =+ Foo t0123456789876543210+ instance SuppressUnusedWarnings FooSym0 where+ suppressUnusedWarnings = snd (((,) FooSym0KindInference) ())+ data FooSym0 :: (~>) Nat Foo+ where+ FooSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply FooSym0 arg) (FooSym1 arg) =>+ FooSym0 t0123456789876543210+ type instance Apply FooSym0 t0123456789876543210 = Foo t0123456789876543210+ type BarSym1 (t0123456789876543210 :: Nat) =+ Bar t0123456789876543210+ instance SuppressUnusedWarnings BarSym0 where+ suppressUnusedWarnings = snd (((,) BarSym0KindInference) ())+ data BarSym0 :: (~>) Nat Bar+ where+ BarSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply BarSym0 arg) (BarSym1 arg) =>+ BarSym0 t0123456789876543210+ type instance Apply BarSym0 t0123456789876543210 = Bar t0123456789876543210
tests/compile-and-dump/Promote/Newtypes.hs view
@@ -1,5 +1,3 @@-{-# OPTIONS_GHC -Wno-unused-imports #-}- module Promote.Newtypes where import Data.Singletons.SuppressUnusedWarnings
− tests/compile-and-dump/Promote/Pragmas.ghc84.template
@@ -1,12 +0,0 @@-Promote/Pragmas.hs:(0,0)-(0,0): Splicing declarations- promote- [d| {-# INLINE foo #-}- foo :: Bool- foo = True |]- ======>- {-# INLINE foo #-}- foo :: Bool- foo = True- type FooSym0 = Foo- type family Foo :: Bool where- Foo = TrueSym0
+ tests/compile-and-dump/Promote/Pragmas.ghc86.template view
@@ -0,0 +1,12 @@+Promote/Pragmas.hs:(0,0)-(0,0): Splicing declarations+ promote+ [d| {-# INLINE foo #-}+ foo :: Bool+ foo = True |]+ ======>+ {-# INLINE foo #-}+ foo :: Bool+ foo = True+ type FooSym0 = Foo+ type family Foo :: Bool where+ Foo = TrueSym0
tests/compile-and-dump/Promote/Pragmas.hs view
@@ -1,7 +1,7 @@ module Promote.Pragmas where import Data.Singletons.TH-import Data.Promotion.Prelude+import Data.Singletons.Prelude $(promote [d| {-# INLINE foo #-}
− tests/compile-and-dump/Promote/Prelude.ghc84.template
@@ -1,17 +0,0 @@-Promote/Prelude.hs:(0,0)-(0,0): Splicing declarations- promoteOnly- [d| odd :: Nat -> Bool- odd 0 = False- odd n = not . odd $ n - 1 |]- ======>- type OddSym1 (t :: Nat) = Odd t- instance SuppressUnusedWarnings OddSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) OddSym0KindInference) GHC.Tuple.())- data OddSym0 (l :: TyFun Nat Bool)- = forall arg. Data.Singletons.Internal.SameKind (Apply OddSym0 arg) (OddSym1 arg) =>- OddSym0KindInference- type instance Apply OddSym0 l = Odd l- type family Odd (a :: Nat) :: Bool where- Odd 0 = FalseSym0- Odd n = Apply (Apply ($@#@$) (Apply (Apply (.@#@$) NotSym0) OddSym0)) (Apply (Apply (-@#@$) n) (FromInteger 1))
+ tests/compile-and-dump/Promote/Prelude.ghc86.template view
@@ -0,0 +1,19 @@+Promote/Prelude.hs:(0,0)-(0,0): Splicing declarations+ promoteOnly+ [d| odd :: Nat -> Bool+ odd 0 = False+ odd n = not . odd $ n - 1 |]+ ======>+ type OddSym1 (a0123456789876543210 :: Nat) =+ Odd a0123456789876543210+ instance SuppressUnusedWarnings OddSym0 where+ suppressUnusedWarnings = snd (((,) OddSym0KindInference) ())+ data OddSym0 :: (~>) Nat Bool+ where+ OddSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply OddSym0 arg) (OddSym1 arg) =>+ OddSym0 a0123456789876543210+ type instance Apply OddSym0 a0123456789876543210 = Odd a0123456789876543210+ type family Odd (a :: Nat) :: Bool where+ Odd 0 = FalseSym0+ Odd n = Apply (Apply ($@#@$) (Apply (Apply (.@#@$) NotSym0) OddSym0)) (Apply (Apply (-@#@$) n) (FromInteger 1))
tests/compile-and-dump/Promote/Prelude.hs view
@@ -1,8 +1,8 @@ module Promote.Prelude where -import Data.Promotion.TH-import Data.Promotion.Prelude-import Data.Promotion.Prelude.List+import Data.Singletons.TH+import Data.Singletons.Prelude+import Data.Singletons.Prelude.List import GHC.TypeLits lengthTest1a :: Proxy (Length '[True, True, True, True])
− tests/compile-and-dump/Promote/T180.ghc84.template
@@ -1,48 +0,0 @@-Promote/T180.hs:(0,0)-(0,0): Splicing declarations- promote- [d| z (X1 x) = x- z (X2 x) = x- - data X = X1 {y :: Symbol} | X2 {y :: Symbol} |]- ======>- data X = X1 {y :: Symbol} | X2 {y :: Symbol}- z (X1 x) = x- z (X2 x) = x- type ZSym1 t = Z t- instance SuppressUnusedWarnings ZSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) ZSym0KindInference) GHC.Tuple.())- data ZSym0 l- = forall arg. SameKind (Apply ZSym0 arg) (ZSym1 arg) =>- ZSym0KindInference- type instance Apply ZSym0 l = Z l- type family Z a where- Z (X1 x) = x- Z (X2 x) = x- type YSym1 (t :: X) = Y t- instance SuppressUnusedWarnings YSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) YSym0KindInference) GHC.Tuple.())- data YSym0 (l :: TyFun X Symbol)- = forall arg. SameKind (Apply YSym0 arg) (YSym1 arg) =>- YSym0KindInference- type instance Apply YSym0 l = Y l- type family Y (a :: X) :: Symbol where- Y (X1 field) = field- Y (X2 field) = field- type X1Sym1 (t :: Symbol) = X1 t- instance SuppressUnusedWarnings X1Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) X1Sym0KindInference) GHC.Tuple.())- data X1Sym0 (l :: TyFun Symbol X)- = forall arg. SameKind (Apply X1Sym0 arg) (X1Sym1 arg) =>- X1Sym0KindInference- type instance Apply X1Sym0 l = X1 l- type X2Sym1 (t :: Symbol) = X2 t- instance SuppressUnusedWarnings X2Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) X2Sym0KindInference) GHC.Tuple.())- data X2Sym0 (l :: TyFun Symbol X)- = forall arg. SameKind (Apply X2Sym0 arg) (X2Sym1 arg) =>- X2Sym0KindInference- type instance Apply X2Sym0 l = X2 l
+ tests/compile-and-dump/Promote/T180.ghc86.template view
@@ -0,0 +1,54 @@+Promote/T180.hs:(0,0)-(0,0): Splicing declarations+ promote+ [d| z (X1 x) = x+ z (X2 x) = x+ + data X = X1 {y :: Symbol} | X2 {y :: Symbol} |]+ ======>+ data X = X1 {y :: Symbol} | X2 {y :: Symbol}+ z (X1 x) = x+ z (X2 x) = x+ type ZSym1 a0123456789876543210 = Z a0123456789876543210+ instance SuppressUnusedWarnings ZSym0 where+ suppressUnusedWarnings = snd (((,) ZSym0KindInference) ())+ data ZSym0 a0123456789876543210+ where+ ZSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply ZSym0 arg) (ZSym1 arg) =>+ ZSym0 a0123456789876543210+ type instance Apply ZSym0 a0123456789876543210 = Z a0123456789876543210+ type family Z a where+ Z (X1 x) = x+ Z (X2 x) = x+ type YSym1 (a0123456789876543210 :: X) = Y a0123456789876543210+ instance SuppressUnusedWarnings YSym0 where+ suppressUnusedWarnings = snd (((,) YSym0KindInference) ())+ data YSym0 :: (~>) X Symbol+ where+ YSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply YSym0 arg) (YSym1 arg) =>+ YSym0 a0123456789876543210+ type instance Apply YSym0 a0123456789876543210 = Y a0123456789876543210+ type family Y (a :: X) :: Symbol where+ Y (X1 field) = field+ Y (X2 field) = field+ type X1Sym1 (t0123456789876543210 :: Symbol) =+ X1 t0123456789876543210+ instance SuppressUnusedWarnings X1Sym0 where+ suppressUnusedWarnings = snd (((,) X1Sym0KindInference) ())+ data X1Sym0 :: (~>) Symbol X+ where+ X1Sym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply X1Sym0 arg) (X1Sym1 arg) =>+ X1Sym0 t0123456789876543210+ type instance Apply X1Sym0 t0123456789876543210 = X1 t0123456789876543210+ type X2Sym1 (t0123456789876543210 :: Symbol) =+ X2 t0123456789876543210+ instance SuppressUnusedWarnings X2Sym0 where+ suppressUnusedWarnings = snd (((,) X2Sym0KindInference) ())+ data X2Sym0 :: (~>) Symbol X+ where+ X2Sym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply X2Sym0 arg) (X2Sym1 arg) =>+ X2Sym0 t0123456789876543210+ type instance Apply X2Sym0 t0123456789876543210 = X2 t0123456789876543210
+ tests/compile-and-dump/Promote/T361.ghc86.template view
@@ -0,0 +1,21 @@+Promote/T361.hs:0:0:: Splicing declarations+ genDefunSymbols [''Proxy] ======> type ProxySym0 = 'Proxy+Promote/T361.hs:(0,0)-(0,0): Splicing declarations+ promote+ [d| f :: Proxy 1 -> Proxy 2+ f Proxy = Proxy |]+ ======>+ f :: Proxy 1 -> Proxy 2+ f Proxy = Proxy+ type FSym1 (a0123456789876543210 :: Proxy 1) =+ F a0123456789876543210+ instance SuppressUnusedWarnings FSym0 where+ suppressUnusedWarnings = snd (((,) FSym0KindInference) ())+ data FSym0 :: (~>) (Proxy 1) (Proxy 2)+ where+ FSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply FSym0 arg) (FSym1 arg) =>+ FSym0 a0123456789876543210+ type instance Apply FSym0 a0123456789876543210 = F a0123456789876543210+ type family F (a :: Proxy 1) :: Proxy 2 where+ F 'Proxy = ProxySym0
+ tests/compile-and-dump/Promote/T361.hs view
@@ -0,0 +1,11 @@+module T361 where++import Data.Proxy+import Data.Singletons.TH++$(genDefunSymbols [''Proxy])++$(promote [d|+ f :: Proxy 1 -> Proxy 2+ f Proxy = Proxy+ |])
− tests/compile-and-dump/Singletons/AsPattern.ghc84.template
@@ -1,352 +0,0 @@-Singletons/AsPattern.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| maybePlus :: Maybe Nat -> Maybe Nat- maybePlus (Just n) = Just (plus (Succ Zero) n)- maybePlus p@Nothing = p- bar :: Maybe Nat -> Maybe Nat- bar x@(Just _) = x- bar Nothing = Nothing- baz_ :: Maybe Baz -> Maybe Baz- baz_ p@Nothing = p- baz_ p@(Just (Baz _ _ _)) = p- tup :: (Nat, Nat) -> (Nat, Nat)- tup p@(_, _) = p- foo :: [Nat] -> [Nat]- foo p@[] = p- foo p@[_] = p- foo p@(_ : _ : _) = p- - data Baz = Baz Nat Nat Nat |]- ======>- maybePlus :: Maybe Nat -> Maybe Nat- maybePlus (Just n) = Just ((plus (Succ Zero)) n)- maybePlus p@Nothing = p- bar :: Maybe Nat -> Maybe Nat- bar x@Just _ = x- bar Nothing = Nothing- data Baz = Baz Nat Nat Nat- baz_ :: Maybe Baz -> Maybe Baz- baz_ p@Nothing = p- baz_ p@Just (Baz _ _ _) = p- tup :: (Nat, Nat) -> (Nat, Nat)- tup p@(_, _) = p- foo :: [Nat] -> [Nat]- foo p@GHC.Types.[] = p- foo p@[_] = p- foo p@(_ GHC.Types.: (_ GHC.Types.: _)) = p- type BazSym3 (t :: Nat) (t :: Nat) (t :: Nat) = Baz t t t- instance SuppressUnusedWarnings BazSym2 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) BazSym2KindInference) GHC.Tuple.())- data BazSym2 (l :: Nat) (l :: Nat) (l :: TyFun Nat Baz)- = forall arg. SameKind (Apply (BazSym2 l l) arg) (BazSym3 l l arg) =>- BazSym2KindInference- type instance Apply (BazSym2 l l) l = Baz l l l- instance SuppressUnusedWarnings BazSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) BazSym1KindInference) GHC.Tuple.())- data BazSym1 (l :: Nat) (l :: TyFun Nat (TyFun Nat Baz- -> GHC.Types.Type))- = forall arg. SameKind (Apply (BazSym1 l) arg) (BazSym2 l arg) =>- BazSym1KindInference- type instance Apply (BazSym1 l) l = BazSym2 l l- instance SuppressUnusedWarnings BazSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) BazSym0KindInference) GHC.Tuple.())- data BazSym0 (l :: TyFun Nat (TyFun Nat (TyFun Nat Baz- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply BazSym0 arg) (BazSym1 arg) =>- BazSym0KindInference- type instance Apply BazSym0 l = BazSym1 l- type Let0123456789876543210PSym0 = Let0123456789876543210P- type family Let0123456789876543210P where- Let0123456789876543210P = '[]- type Let0123456789876543210PSym1 t = Let0123456789876543210P t- instance SuppressUnusedWarnings Let0123456789876543210PSym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210PSym0KindInference)- GHC.Tuple.())- data Let0123456789876543210PSym0 l- = forall arg. SameKind (Apply Let0123456789876543210PSym0 arg) (Let0123456789876543210PSym1 arg) =>- Let0123456789876543210PSym0KindInference- type instance Apply Let0123456789876543210PSym0 l = Let0123456789876543210P l- type family Let0123456789876543210P wild_0123456789876543210 where- Let0123456789876543210P wild_0123456789876543210 = Apply (Apply (:@#@$) wild_0123456789876543210) '[]- type Let0123456789876543210PSym3 t t t =- Let0123456789876543210P t t t- instance SuppressUnusedWarnings Let0123456789876543210PSym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210PSym2KindInference)- GHC.Tuple.())- data Let0123456789876543210PSym2 l l l- = forall arg. SameKind (Apply (Let0123456789876543210PSym2 l l) arg) (Let0123456789876543210PSym3 l l arg) =>- Let0123456789876543210PSym2KindInference- type instance Apply (Let0123456789876543210PSym2 l l) l = Let0123456789876543210P l l l- instance SuppressUnusedWarnings Let0123456789876543210PSym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210PSym1KindInference)- GHC.Tuple.())- data Let0123456789876543210PSym1 l l- = forall arg. SameKind (Apply (Let0123456789876543210PSym1 l) arg) (Let0123456789876543210PSym2 l arg) =>- Let0123456789876543210PSym1KindInference- type instance Apply (Let0123456789876543210PSym1 l) l = Let0123456789876543210PSym2 l l- instance SuppressUnusedWarnings Let0123456789876543210PSym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210PSym0KindInference)- GHC.Tuple.())- data Let0123456789876543210PSym0 l- = forall arg. SameKind (Apply Let0123456789876543210PSym0 arg) (Let0123456789876543210PSym1 arg) =>- Let0123456789876543210PSym0KindInference- type instance Apply Let0123456789876543210PSym0 l = Let0123456789876543210PSym1 l- type family Let0123456789876543210P wild_0123456789876543210 wild_0123456789876543210 wild_0123456789876543210 where- Let0123456789876543210P wild_0123456789876543210 wild_0123456789876543210 wild_0123456789876543210 = Apply (Apply (:@#@$) wild_0123456789876543210) (Apply (Apply (:@#@$) wild_0123456789876543210) wild_0123456789876543210)- type Let0123456789876543210PSym2 t t = Let0123456789876543210P t t- instance SuppressUnusedWarnings Let0123456789876543210PSym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210PSym1KindInference)- GHC.Tuple.())- data Let0123456789876543210PSym1 l l- = forall arg. SameKind (Apply (Let0123456789876543210PSym1 l) arg) (Let0123456789876543210PSym2 l arg) =>- Let0123456789876543210PSym1KindInference- type instance Apply (Let0123456789876543210PSym1 l) l = Let0123456789876543210P l l- instance SuppressUnusedWarnings Let0123456789876543210PSym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210PSym0KindInference)- GHC.Tuple.())- data Let0123456789876543210PSym0 l- = forall arg. SameKind (Apply Let0123456789876543210PSym0 arg) (Let0123456789876543210PSym1 arg) =>- Let0123456789876543210PSym0KindInference- type instance Apply Let0123456789876543210PSym0 l = Let0123456789876543210PSym1 l- type family Let0123456789876543210P wild_0123456789876543210 wild_0123456789876543210 where- Let0123456789876543210P wild_0123456789876543210 wild_0123456789876543210 = Apply (Apply Tuple2Sym0 wild_0123456789876543210) wild_0123456789876543210- type Let0123456789876543210PSym0 = Let0123456789876543210P- type family Let0123456789876543210P where- Let0123456789876543210P = NothingSym0- type Let0123456789876543210PSym3 t t t =- Let0123456789876543210P t t t- instance SuppressUnusedWarnings Let0123456789876543210PSym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210PSym2KindInference)- GHC.Tuple.())- data Let0123456789876543210PSym2 l l l- = forall arg. SameKind (Apply (Let0123456789876543210PSym2 l l) arg) (Let0123456789876543210PSym3 l l arg) =>- Let0123456789876543210PSym2KindInference- type instance Apply (Let0123456789876543210PSym2 l l) l = Let0123456789876543210P l l l- instance SuppressUnusedWarnings Let0123456789876543210PSym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210PSym1KindInference)- GHC.Tuple.())- data Let0123456789876543210PSym1 l l- = forall arg. SameKind (Apply (Let0123456789876543210PSym1 l) arg) (Let0123456789876543210PSym2 l arg) =>- Let0123456789876543210PSym1KindInference- type instance Apply (Let0123456789876543210PSym1 l) l = Let0123456789876543210PSym2 l l- instance SuppressUnusedWarnings Let0123456789876543210PSym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210PSym0KindInference)- GHC.Tuple.())- data Let0123456789876543210PSym0 l- = forall arg. SameKind (Apply Let0123456789876543210PSym0 arg) (Let0123456789876543210PSym1 arg) =>- Let0123456789876543210PSym0KindInference- type instance Apply Let0123456789876543210PSym0 l = Let0123456789876543210PSym1 l- type family Let0123456789876543210P wild_0123456789876543210 wild_0123456789876543210 wild_0123456789876543210 where- Let0123456789876543210P wild_0123456789876543210 wild_0123456789876543210 wild_0123456789876543210 = Apply JustSym0 (Apply (Apply (Apply BazSym0 wild_0123456789876543210) wild_0123456789876543210) wild_0123456789876543210)- type Let0123456789876543210XSym1 t = Let0123456789876543210X t- instance SuppressUnusedWarnings Let0123456789876543210XSym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210XSym0KindInference)- GHC.Tuple.())- data Let0123456789876543210XSym0 l- = forall arg. SameKind (Apply Let0123456789876543210XSym0 arg) (Let0123456789876543210XSym1 arg) =>- Let0123456789876543210XSym0KindInference- type instance Apply Let0123456789876543210XSym0 l = Let0123456789876543210X l- type family Let0123456789876543210X wild_0123456789876543210 where- Let0123456789876543210X wild_0123456789876543210 = Apply JustSym0 wild_0123456789876543210- type Let0123456789876543210PSym0 = Let0123456789876543210P- type family Let0123456789876543210P where- Let0123456789876543210P = NothingSym0- type FooSym1 (t :: [Nat]) = Foo t- instance SuppressUnusedWarnings FooSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) FooSym0KindInference) GHC.Tuple.())- data FooSym0 (l :: TyFun [Nat] [Nat])- = forall arg. SameKind (Apply FooSym0 arg) (FooSym1 arg) =>- FooSym0KindInference- type instance Apply FooSym0 l = Foo l- type TupSym1 (t :: (Nat, Nat)) = Tup t- instance SuppressUnusedWarnings TupSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) TupSym0KindInference) GHC.Tuple.())- data TupSym0 (l :: TyFun (Nat, Nat) (Nat, Nat))- = forall arg. SameKind (Apply TupSym0 arg) (TupSym1 arg) =>- TupSym0KindInference- type instance Apply TupSym0 l = Tup l- type Baz_Sym1 (t :: Maybe Baz) = Baz_ t- instance SuppressUnusedWarnings Baz_Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Baz_Sym0KindInference) GHC.Tuple.())- data Baz_Sym0 (l :: TyFun (Maybe Baz) (Maybe Baz))- = forall arg. SameKind (Apply Baz_Sym0 arg) (Baz_Sym1 arg) =>- Baz_Sym0KindInference- type instance Apply Baz_Sym0 l = Baz_ l- type BarSym1 (t :: Maybe Nat) = Bar t- instance SuppressUnusedWarnings BarSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) BarSym0KindInference) GHC.Tuple.())- data BarSym0 (l :: TyFun (Maybe Nat) (Maybe Nat))- = forall arg. SameKind (Apply BarSym0 arg) (BarSym1 arg) =>- BarSym0KindInference- type instance Apply BarSym0 l = Bar l- type MaybePlusSym1 (t :: Maybe Nat) = MaybePlus t- instance SuppressUnusedWarnings MaybePlusSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) MaybePlusSym0KindInference) GHC.Tuple.())- data MaybePlusSym0 (l :: TyFun (Maybe Nat) (Maybe Nat))- = forall arg. SameKind (Apply MaybePlusSym0 arg) (MaybePlusSym1 arg) =>- MaybePlusSym0KindInference- type instance Apply MaybePlusSym0 l = MaybePlus l- type family Foo (a :: [Nat]) :: [Nat] where- Foo '[] = Let0123456789876543210PSym0- Foo '[wild_0123456789876543210] = Let0123456789876543210PSym1 wild_0123456789876543210- Foo ((:) wild_0123456789876543210 ((:) wild_0123456789876543210 wild_0123456789876543210)) = Let0123456789876543210PSym3 wild_0123456789876543210 wild_0123456789876543210 wild_0123456789876543210- type family Tup (a :: (Nat, Nat)) :: (Nat, Nat) where- Tup '(wild_0123456789876543210,- wild_0123456789876543210) = Let0123456789876543210PSym2 wild_0123456789876543210 wild_0123456789876543210- type family Baz_ (a :: Maybe Baz) :: Maybe Baz where- Baz_ Nothing = Let0123456789876543210PSym0- Baz_ (Just (Baz wild_0123456789876543210 wild_0123456789876543210 wild_0123456789876543210)) = Let0123456789876543210PSym3 wild_0123456789876543210 wild_0123456789876543210 wild_0123456789876543210- type family Bar (a :: Maybe Nat) :: Maybe Nat where- Bar (Just wild_0123456789876543210) = Let0123456789876543210XSym1 wild_0123456789876543210- Bar Nothing = NothingSym0- type family MaybePlus (a :: Maybe Nat) :: Maybe Nat where- MaybePlus (Just n) = Apply JustSym0 (Apply (Apply PlusSym0 (Apply SuccSym0 ZeroSym0)) n)- MaybePlus Nothing = Let0123456789876543210PSym0- sFoo ::- forall (t :: [Nat]). Sing t -> Sing (Apply FooSym0 t :: [Nat])- sTup ::- forall (t :: (Nat, Nat)).- Sing t -> Sing (Apply TupSym0 t :: (Nat, Nat))- sBaz_ ::- forall (t :: Maybe Baz).- Sing t -> Sing (Apply Baz_Sym0 t :: Maybe Baz)- sBar ::- forall (t :: Maybe Nat).- Sing t -> Sing (Apply BarSym0 t :: Maybe Nat)- sMaybePlus ::- forall (t :: Maybe Nat).- Sing t -> Sing (Apply MaybePlusSym0 t :: Maybe Nat)- sFoo SNil- = let- sP :: Sing Let0123456789876543210PSym0- sP = SNil- in sP- sFoo- (SCons (sWild_0123456789876543210 :: Sing wild_0123456789876543210)- SNil)- = let- sP :: Sing (Let0123456789876543210PSym1 wild_0123456789876543210)- sP- = (applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- sWild_0123456789876543210))- SNil- in sP- sFoo- (SCons (sWild_0123456789876543210 :: Sing wild_0123456789876543210)- (SCons (sWild_0123456789876543210 :: Sing wild_0123456789876543210)- (sWild_0123456789876543210 :: Sing wild_0123456789876543210)))- = let- sP ::- Sing (Let0123456789876543210PSym3 wild_0123456789876543210 wild_0123456789876543210 wild_0123456789876543210)- sP- = (applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- sWild_0123456789876543210))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- sWild_0123456789876543210))- sWild_0123456789876543210)- in sP- sTup- (STuple2 (sWild_0123456789876543210 :: Sing wild_0123456789876543210)- (sWild_0123456789876543210 :: Sing wild_0123456789876543210))- = let- sP ::- Sing (Let0123456789876543210PSym2 wild_0123456789876543210 wild_0123456789876543210)- sP- = (applySing- ((applySing ((singFun2 @Tuple2Sym0) STuple2))- sWild_0123456789876543210))- sWild_0123456789876543210- in sP- sBaz_ SNothing- = let- sP :: Sing Let0123456789876543210PSym0- sP = SNothing- in sP- sBaz_- (SJust (SBaz (sWild_0123456789876543210 :: Sing wild_0123456789876543210)- (sWild_0123456789876543210 :: Sing wild_0123456789876543210)- (sWild_0123456789876543210 :: Sing wild_0123456789876543210)))- = let- sP ::- Sing (Let0123456789876543210PSym3 wild_0123456789876543210 wild_0123456789876543210 wild_0123456789876543210)- sP- = (applySing ((singFun1 @JustSym0) SJust))- ((applySing- ((applySing- ((applySing ((singFun3 @BazSym0) SBaz)) sWild_0123456789876543210))- sWild_0123456789876543210))- sWild_0123456789876543210)- in sP- sBar- (SJust (sWild_0123456789876543210 :: Sing wild_0123456789876543210))- = let- sX :: Sing (Let0123456789876543210XSym1 wild_0123456789876543210)- sX- = (applySing ((singFun1 @JustSym0) SJust))- sWild_0123456789876543210- in sX- sBar SNothing = SNothing- sMaybePlus (SJust (sN :: Sing n))- = (applySing ((singFun1 @JustSym0) SJust))- ((applySing- ((applySing ((singFun2 @PlusSym0) sPlus))- ((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))- sN)- sMaybePlus SNothing- = let- sP :: Sing Let0123456789876543210PSym0- sP = SNothing- in sP- data instance Sing (z :: Baz)- where- SBaz :: forall (n :: Nat) (n :: Nat) (n :: Nat).- (Sing (n :: Nat))- -> (Sing (n :: Nat)) -> (Sing (n :: Nat)) -> Sing (Baz n n n)- type SBaz = (Sing :: Baz -> GHC.Types.Type)- instance SingKind Baz where- type Demote Baz = Baz- fromSing (SBaz b b b)- = ((Baz (fromSing b)) (fromSing b)) (fromSing b)- toSing (Baz (b :: Demote Nat) (b :: Demote Nat) (b :: Demote Nat))- = case- ((GHC.Tuple.(,,) (toSing b :: SomeSing Nat))- (toSing b :: SomeSing Nat))- (toSing b :: SomeSing Nat)- of {- GHC.Tuple.(,,) (SomeSing c) (SomeSing c) (SomeSing c)- -> SomeSing (((SBaz c) c) c) }- instance (SingI n, SingI n, SingI n) =>- SingI (Baz (n :: Nat) (n :: Nat) (n :: Nat)) where- sing = ((SBaz sing) sing) sing
+ tests/compile-and-dump/Singletons/AsPattern.ghc86.template view
@@ -0,0 +1,405 @@+Singletons/AsPattern.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| maybePlus :: Maybe Nat -> Maybe Nat+ maybePlus (Just n) = Just (plus (Succ Zero) n)+ maybePlus p@Nothing = p+ bar :: Maybe Nat -> Maybe Nat+ bar x@(Just _) = x+ bar Nothing = Nothing+ baz_ :: Maybe Baz -> Maybe Baz+ baz_ p@Nothing = p+ baz_ p@(Just (Baz _ _ _)) = p+ tup :: (Nat, Nat) -> (Nat, Nat)+ tup p@(_, _) = p+ foo :: [Nat] -> [Nat]+ foo p@[] = p+ foo p@[_] = p+ foo p@(_ : _ : _) = p+ + data Baz = Baz Nat Nat Nat |]+ ======>+ maybePlus :: Maybe Nat -> Maybe Nat+ maybePlus (Just n) = Just ((plus (Succ Zero)) n)+ maybePlus p@Nothing = p+ bar :: Maybe Nat -> Maybe Nat+ bar x@(Just _) = x+ bar Nothing = Nothing+ data Baz = Baz Nat Nat Nat+ baz_ :: Maybe Baz -> Maybe Baz+ baz_ p@Nothing = p+ baz_ p@(Just (Baz _ _ _)) = p+ tup :: (Nat, Nat) -> (Nat, Nat)+ tup p@(_, _) = p+ foo :: [Nat] -> [Nat]+ foo p@[] = p+ foo p@[_] = p+ foo p@(_ : (_ : _)) = p+ type BazSym3 (t0123456789876543210 :: Nat) (t0123456789876543210 :: Nat) (t0123456789876543210 :: Nat) =+ Baz t0123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (BazSym2 t0123456789876543210 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) BazSym2KindInference) ())+ data BazSym2 (t0123456789876543210 :: Nat) (t0123456789876543210 :: Nat) :: (~>) Nat Baz+ where+ BazSym2KindInference :: forall t0123456789876543210+ t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (BazSym2 t0123456789876543210 t0123456789876543210) arg) (BazSym3 t0123456789876543210 t0123456789876543210 arg) =>+ BazSym2 t0123456789876543210 t0123456789876543210 t0123456789876543210+ type instance Apply (BazSym2 t0123456789876543210 t0123456789876543210) t0123456789876543210 = Baz t0123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (BazSym1 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) BazSym1KindInference) ())+ data BazSym1 (t0123456789876543210 :: Nat) :: (~>) Nat ((~>) Nat Baz)+ where+ BazSym1KindInference :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (BazSym1 t0123456789876543210) arg) (BazSym2 t0123456789876543210 arg) =>+ BazSym1 t0123456789876543210 t0123456789876543210+ type instance Apply (BazSym1 t0123456789876543210) t0123456789876543210 = BazSym2 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings BazSym0 where+ suppressUnusedWarnings = snd (((,) BazSym0KindInference) ())+ data BazSym0 :: (~>) Nat ((~>) Nat ((~>) Nat Baz))+ where+ BazSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply BazSym0 arg) (BazSym1 arg) =>+ BazSym0 t0123456789876543210+ type instance Apply BazSym0 t0123456789876543210 = BazSym1 t0123456789876543210+ type Let0123456789876543210PSym0 = Let0123456789876543210P+ type family Let0123456789876543210P where+ Let0123456789876543210P = '[]+ type Let0123456789876543210PSym1 wild_01234567898765432100123456789876543210 =+ Let0123456789876543210P wild_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210PSym0 where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210PSym0KindInference) ())+ data Let0123456789876543210PSym0 wild_01234567898765432100123456789876543210+ where+ Let0123456789876543210PSym0KindInference :: forall wild_01234567898765432100123456789876543210+ arg. SameKind (Apply Let0123456789876543210PSym0 arg) (Let0123456789876543210PSym1 arg) =>+ Let0123456789876543210PSym0 wild_01234567898765432100123456789876543210+ type instance Apply Let0123456789876543210PSym0 wild_01234567898765432100123456789876543210 = Let0123456789876543210P wild_01234567898765432100123456789876543210+ type family Let0123456789876543210P wild_0123456789876543210 where+ Let0123456789876543210P wild_0123456789876543210 = Apply (Apply (:@#@$) wild_0123456789876543210) '[]+ type Let0123456789876543210PSym3 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210 =+ Let0123456789876543210P wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Let0123456789876543210PSym2 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210PSym2KindInference) ())+ data Let0123456789876543210PSym2 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210+ where+ Let0123456789876543210PSym2KindInference :: forall wild_01234567898765432100123456789876543210+ wild_01234567898765432100123456789876543210+ wild_01234567898765432100123456789876543210+ arg. SameKind (Apply (Let0123456789876543210PSym2 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210) arg) (Let0123456789876543210PSym3 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210 arg) =>+ Let0123456789876543210PSym2 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210+ type instance Apply (Let0123456789876543210PSym2 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210) wild_01234567898765432100123456789876543210 = Let0123456789876543210P wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Let0123456789876543210PSym1 wild_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210PSym1KindInference) ())+ data Let0123456789876543210PSym1 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210+ where+ Let0123456789876543210PSym1KindInference :: forall wild_01234567898765432100123456789876543210+ wild_01234567898765432100123456789876543210+ arg. SameKind (Apply (Let0123456789876543210PSym1 wild_01234567898765432100123456789876543210) arg) (Let0123456789876543210PSym2 wild_01234567898765432100123456789876543210 arg) =>+ Let0123456789876543210PSym1 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210+ type instance Apply (Let0123456789876543210PSym1 wild_01234567898765432100123456789876543210) wild_01234567898765432100123456789876543210 = Let0123456789876543210PSym2 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210PSym0 where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210PSym0KindInference) ())+ data Let0123456789876543210PSym0 wild_01234567898765432100123456789876543210+ where+ Let0123456789876543210PSym0KindInference :: forall wild_01234567898765432100123456789876543210+ arg. SameKind (Apply Let0123456789876543210PSym0 arg) (Let0123456789876543210PSym1 arg) =>+ Let0123456789876543210PSym0 wild_01234567898765432100123456789876543210+ type instance Apply Let0123456789876543210PSym0 wild_01234567898765432100123456789876543210 = Let0123456789876543210PSym1 wild_01234567898765432100123456789876543210+ type family Let0123456789876543210P wild_0123456789876543210 wild_0123456789876543210 wild_0123456789876543210 where+ Let0123456789876543210P wild_0123456789876543210 wild_0123456789876543210 wild_0123456789876543210 = Apply (Apply (:@#@$) wild_0123456789876543210) (Apply (Apply (:@#@$) wild_0123456789876543210) wild_0123456789876543210)+ type Let0123456789876543210PSym2 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210 =+ Let0123456789876543210P wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Let0123456789876543210PSym1 wild_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210PSym1KindInference) ())+ data Let0123456789876543210PSym1 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210+ where+ Let0123456789876543210PSym1KindInference :: forall wild_01234567898765432100123456789876543210+ wild_01234567898765432100123456789876543210+ arg. SameKind (Apply (Let0123456789876543210PSym1 wild_01234567898765432100123456789876543210) arg) (Let0123456789876543210PSym2 wild_01234567898765432100123456789876543210 arg) =>+ Let0123456789876543210PSym1 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210+ type instance Apply (Let0123456789876543210PSym1 wild_01234567898765432100123456789876543210) wild_01234567898765432100123456789876543210 = Let0123456789876543210P wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210PSym0 where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210PSym0KindInference) ())+ data Let0123456789876543210PSym0 wild_01234567898765432100123456789876543210+ where+ Let0123456789876543210PSym0KindInference :: forall wild_01234567898765432100123456789876543210+ arg. SameKind (Apply Let0123456789876543210PSym0 arg) (Let0123456789876543210PSym1 arg) =>+ Let0123456789876543210PSym0 wild_01234567898765432100123456789876543210+ type instance Apply Let0123456789876543210PSym0 wild_01234567898765432100123456789876543210 = Let0123456789876543210PSym1 wild_01234567898765432100123456789876543210+ type family Let0123456789876543210P wild_0123456789876543210 wild_0123456789876543210 where+ Let0123456789876543210P wild_0123456789876543210 wild_0123456789876543210 = Apply (Apply Tuple2Sym0 wild_0123456789876543210) wild_0123456789876543210+ type Let0123456789876543210PSym0 = Let0123456789876543210P+ type family Let0123456789876543210P where+ Let0123456789876543210P = NothingSym0+ type Let0123456789876543210PSym3 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210 =+ Let0123456789876543210P wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Let0123456789876543210PSym2 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210PSym2KindInference) ())+ data Let0123456789876543210PSym2 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210+ where+ Let0123456789876543210PSym2KindInference :: forall wild_01234567898765432100123456789876543210+ wild_01234567898765432100123456789876543210+ wild_01234567898765432100123456789876543210+ arg. SameKind (Apply (Let0123456789876543210PSym2 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210) arg) (Let0123456789876543210PSym3 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210 arg) =>+ Let0123456789876543210PSym2 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210+ type instance Apply (Let0123456789876543210PSym2 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210) wild_01234567898765432100123456789876543210 = Let0123456789876543210P wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Let0123456789876543210PSym1 wild_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210PSym1KindInference) ())+ data Let0123456789876543210PSym1 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210+ where+ Let0123456789876543210PSym1KindInference :: forall wild_01234567898765432100123456789876543210+ wild_01234567898765432100123456789876543210+ arg. SameKind (Apply (Let0123456789876543210PSym1 wild_01234567898765432100123456789876543210) arg) (Let0123456789876543210PSym2 wild_01234567898765432100123456789876543210 arg) =>+ Let0123456789876543210PSym1 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210+ type instance Apply (Let0123456789876543210PSym1 wild_01234567898765432100123456789876543210) wild_01234567898765432100123456789876543210 = Let0123456789876543210PSym2 wild_01234567898765432100123456789876543210 wild_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210PSym0 where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210PSym0KindInference) ())+ data Let0123456789876543210PSym0 wild_01234567898765432100123456789876543210+ where+ Let0123456789876543210PSym0KindInference :: forall wild_01234567898765432100123456789876543210+ arg. SameKind (Apply Let0123456789876543210PSym0 arg) (Let0123456789876543210PSym1 arg) =>+ Let0123456789876543210PSym0 wild_01234567898765432100123456789876543210+ type instance Apply Let0123456789876543210PSym0 wild_01234567898765432100123456789876543210 = Let0123456789876543210PSym1 wild_01234567898765432100123456789876543210+ type family Let0123456789876543210P wild_0123456789876543210 wild_0123456789876543210 wild_0123456789876543210 where+ Let0123456789876543210P wild_0123456789876543210 wild_0123456789876543210 wild_0123456789876543210 = Apply JustSym0 (Apply (Apply (Apply BazSym0 wild_0123456789876543210) wild_0123456789876543210) wild_0123456789876543210)+ type Let0123456789876543210XSym1 wild_01234567898765432100123456789876543210 =+ Let0123456789876543210X wild_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210XSym0 where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210XSym0KindInference) ())+ data Let0123456789876543210XSym0 wild_01234567898765432100123456789876543210+ where+ Let0123456789876543210XSym0KindInference :: forall wild_01234567898765432100123456789876543210+ arg. SameKind (Apply Let0123456789876543210XSym0 arg) (Let0123456789876543210XSym1 arg) =>+ Let0123456789876543210XSym0 wild_01234567898765432100123456789876543210+ type instance Apply Let0123456789876543210XSym0 wild_01234567898765432100123456789876543210 = Let0123456789876543210X wild_01234567898765432100123456789876543210+ type family Let0123456789876543210X wild_0123456789876543210 where+ Let0123456789876543210X wild_0123456789876543210 = Apply JustSym0 wild_0123456789876543210+ type Let0123456789876543210PSym0 = Let0123456789876543210P+ type family Let0123456789876543210P where+ Let0123456789876543210P = NothingSym0+ type FooSym1 (a0123456789876543210 :: [Nat]) =+ Foo a0123456789876543210+ instance SuppressUnusedWarnings FooSym0 where+ suppressUnusedWarnings = snd (((,) FooSym0KindInference) ())+ data FooSym0 :: (~>) [Nat] [Nat]+ where+ FooSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply FooSym0 arg) (FooSym1 arg) =>+ FooSym0 a0123456789876543210+ type instance Apply FooSym0 a0123456789876543210 = Foo a0123456789876543210+ type TupSym1 (a0123456789876543210 :: (Nat, Nat)) =+ Tup a0123456789876543210+ instance SuppressUnusedWarnings TupSym0 where+ suppressUnusedWarnings = snd (((,) TupSym0KindInference) ())+ data TupSym0 :: (~>) (Nat, Nat) (Nat, Nat)+ where+ TupSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply TupSym0 arg) (TupSym1 arg) =>+ TupSym0 a0123456789876543210+ type instance Apply TupSym0 a0123456789876543210 = Tup a0123456789876543210+ type Baz_Sym1 (a0123456789876543210 :: Maybe Baz) =+ Baz_ a0123456789876543210+ instance SuppressUnusedWarnings Baz_Sym0 where+ suppressUnusedWarnings = snd (((,) Baz_Sym0KindInference) ())+ data Baz_Sym0 :: (~>) (Maybe Baz) (Maybe Baz)+ where+ Baz_Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Baz_Sym0 arg) (Baz_Sym1 arg) =>+ Baz_Sym0 a0123456789876543210+ type instance Apply Baz_Sym0 a0123456789876543210 = Baz_ a0123456789876543210+ type BarSym1 (a0123456789876543210 :: Maybe Nat) =+ Bar a0123456789876543210+ instance SuppressUnusedWarnings BarSym0 where+ suppressUnusedWarnings = snd (((,) BarSym0KindInference) ())+ data BarSym0 :: (~>) (Maybe Nat) (Maybe Nat)+ where+ BarSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply BarSym0 arg) (BarSym1 arg) =>+ BarSym0 a0123456789876543210+ type instance Apply BarSym0 a0123456789876543210 = Bar a0123456789876543210+ type MaybePlusSym1 (a0123456789876543210 :: Maybe Nat) =+ MaybePlus a0123456789876543210+ instance SuppressUnusedWarnings MaybePlusSym0 where+ suppressUnusedWarnings = snd (((,) MaybePlusSym0KindInference) ())+ data MaybePlusSym0 :: (~>) (Maybe Nat) (Maybe Nat)+ where+ MaybePlusSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply MaybePlusSym0 arg) (MaybePlusSym1 arg) =>+ MaybePlusSym0 a0123456789876543210+ type instance Apply MaybePlusSym0 a0123456789876543210 = MaybePlus a0123456789876543210+ type family Foo (a :: [Nat]) :: [Nat] where+ Foo '[] = Let0123456789876543210PSym0+ Foo '[wild_0123456789876543210] = Let0123456789876543210PSym1 wild_0123456789876543210+ Foo ( '(:) wild_0123456789876543210 ( '(:) wild_0123456789876543210 wild_0123456789876543210)) = Let0123456789876543210PSym3 wild_0123456789876543210 wild_0123456789876543210 wild_0123456789876543210+ type family Tup (a :: (Nat, Nat)) :: (Nat, Nat) where+ Tup '(wild_0123456789876543210,+ wild_0123456789876543210) = Let0123456789876543210PSym2 wild_0123456789876543210 wild_0123456789876543210+ type family Baz_ (a :: Maybe Baz) :: Maybe Baz where+ Baz_ 'Nothing = Let0123456789876543210PSym0+ Baz_ ( 'Just (Baz wild_0123456789876543210 wild_0123456789876543210 wild_0123456789876543210)) = Let0123456789876543210PSym3 wild_0123456789876543210 wild_0123456789876543210 wild_0123456789876543210+ type family Bar (a :: Maybe Nat) :: Maybe Nat where+ Bar ( 'Just wild_0123456789876543210) = Let0123456789876543210XSym1 wild_0123456789876543210+ Bar 'Nothing = NothingSym0+ type family MaybePlus (a :: Maybe Nat) :: Maybe Nat where+ MaybePlus ( 'Just n) = Apply JustSym0 (Apply (Apply PlusSym0 (Apply SuccSym0 ZeroSym0)) n)+ MaybePlus 'Nothing = Let0123456789876543210PSym0+ sFoo ::+ forall (t :: [Nat]). Sing t -> Sing (Apply FooSym0 t :: [Nat])+ sTup ::+ forall (t :: (Nat, Nat)).+ Sing t -> Sing (Apply TupSym0 t :: (Nat, Nat))+ sBaz_ ::+ forall (t :: Maybe Baz).+ Sing t -> Sing (Apply Baz_Sym0 t :: Maybe Baz)+ sBar ::+ forall (t :: Maybe Nat).+ Sing t -> Sing (Apply BarSym0 t :: Maybe Nat)+ sMaybePlus ::+ forall (t :: Maybe Nat).+ Sing t -> Sing (Apply MaybePlusSym0 t :: Maybe Nat)+ sFoo SNil+ = let+ sP :: Sing Let0123456789876543210PSym0+ sP = SNil+ in sP+ sFoo+ (SCons (sWild_0123456789876543210 :: Sing wild_0123456789876543210)+ SNil)+ = let+ sP :: Sing (Let0123456789876543210PSym1 wild_0123456789876543210)+ sP+ = (applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ sWild_0123456789876543210))+ SNil+ in sP+ sFoo+ (SCons (sWild_0123456789876543210 :: Sing wild_0123456789876543210)+ (SCons (sWild_0123456789876543210 :: Sing wild_0123456789876543210)+ (sWild_0123456789876543210 :: Sing wild_0123456789876543210)))+ = let+ sP ::+ Sing (Let0123456789876543210PSym3 wild_0123456789876543210 wild_0123456789876543210 wild_0123456789876543210)+ sP+ = (applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ sWild_0123456789876543210))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ sWild_0123456789876543210))+ sWild_0123456789876543210)+ in sP+ sTup+ (STuple2 (sWild_0123456789876543210 :: Sing wild_0123456789876543210)+ (sWild_0123456789876543210 :: Sing wild_0123456789876543210))+ = let+ sP ::+ Sing (Let0123456789876543210PSym2 wild_0123456789876543210 wild_0123456789876543210)+ sP+ = (applySing+ ((applySing ((singFun2 @Tuple2Sym0) STuple2))+ sWild_0123456789876543210))+ sWild_0123456789876543210+ in sP+ sBaz_ SNothing+ = let+ sP :: Sing Let0123456789876543210PSym0+ sP = SNothing+ in sP+ sBaz_+ (SJust (SBaz (sWild_0123456789876543210 :: Sing wild_0123456789876543210)+ (sWild_0123456789876543210 :: Sing wild_0123456789876543210)+ (sWild_0123456789876543210 :: Sing wild_0123456789876543210)))+ = let+ sP ::+ Sing (Let0123456789876543210PSym3 wild_0123456789876543210 wild_0123456789876543210 wild_0123456789876543210)+ sP+ = (applySing ((singFun1 @JustSym0) SJust))+ ((applySing+ ((applySing+ ((applySing ((singFun3 @BazSym0) SBaz)) sWild_0123456789876543210))+ sWild_0123456789876543210))+ sWild_0123456789876543210)+ in sP+ sBar+ (SJust (sWild_0123456789876543210 :: Sing wild_0123456789876543210))+ = let+ sX :: Sing (Let0123456789876543210XSym1 wild_0123456789876543210)+ sX+ = (applySing ((singFun1 @JustSym0) SJust))+ sWild_0123456789876543210+ in sX+ sBar SNothing = SNothing+ sMaybePlus (SJust (sN :: Sing n))+ = (applySing ((singFun1 @JustSym0) SJust))+ ((applySing+ ((applySing ((singFun2 @PlusSym0) sPlus))+ ((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))+ sN)+ sMaybePlus SNothing+ = let+ sP :: Sing Let0123456789876543210PSym0+ sP = SNothing+ in sP+ instance SingI (FooSym0 :: (~>) [Nat] [Nat]) where+ sing = (singFun1 @FooSym0) sFoo+ instance SingI (TupSym0 :: (~>) (Nat, Nat) (Nat, Nat)) where+ sing = (singFun1 @TupSym0) sTup+ instance SingI (Baz_Sym0 :: (~>) (Maybe Baz) (Maybe Baz)) where+ sing = (singFun1 @Baz_Sym0) sBaz_+ instance SingI (BarSym0 :: (~>) (Maybe Nat) (Maybe Nat)) where+ sing = (singFun1 @BarSym0) sBar+ instance SingI (MaybePlusSym0 :: (~>) (Maybe Nat) (Maybe Nat)) where+ sing = (singFun1 @MaybePlusSym0) sMaybePlus+ data instance Sing :: Baz -> GHC.Types.Type+ where+ SBaz :: forall (n :: Nat) (n :: Nat) (n :: Nat).+ (Sing (n :: Nat))+ -> (Sing (n :: Nat)) -> (Sing (n :: Nat)) -> Sing (Baz n n n)+ type SBaz = (Sing :: Baz -> GHC.Types.Type)+ instance SingKind Baz where+ type Demote Baz = Baz+ fromSing (SBaz b b b)+ = ((Baz (fromSing b)) (fromSing b)) (fromSing b)+ toSing (Baz (b :: Demote Nat) (b :: Demote Nat) (b :: Demote Nat))+ = case+ (((,,) (toSing b :: SomeSing Nat)) (toSing b :: SomeSing Nat))+ (toSing b :: SomeSing Nat)+ of {+ (,,) (SomeSing c) (SomeSing c) (SomeSing c)+ -> SomeSing (((SBaz c) c) c) }+ instance (SingI n, SingI n, SingI n) =>+ SingI (Baz (n :: Nat) (n :: Nat) (n :: Nat)) where+ sing = ((SBaz sing) sing) sing+ instance SingI (BazSym0 :: (~>) Nat ((~>) Nat ((~>) Nat Baz))) where+ sing = (singFun3 @BazSym0) SBaz+ instance SingI (TyCon3 Baz :: (~>) Nat ((~>) Nat ((~>) Nat Baz))) where+ sing = (singFun3 @(TyCon3 Baz)) SBaz+ instance SingI d =>+ SingI (BazSym1 (d :: Nat) :: (~>) Nat ((~>) Nat Baz)) where+ sing = (singFun2 @(BazSym1 (d :: Nat))) (SBaz (sing @d))+ instance SingI d =>+ SingI (TyCon2 (Baz (d :: Nat)) :: (~>) Nat ((~>) Nat Baz)) where+ sing = (singFun2 @(TyCon2 (Baz (d :: Nat)))) (SBaz (sing @d))+ instance (SingI d, SingI d) =>+ SingI (BazSym2 (d :: Nat) (d :: Nat) :: (~>) Nat Baz) where+ sing+ = (singFun1 @(BazSym2 (d :: Nat) (d :: Nat)))+ ((SBaz (sing @d)) (sing @d))+ instance (SingI d, SingI d) =>+ SingI (TyCon1 (Baz (d :: Nat) (d :: Nat)) :: (~>) Nat Baz) where+ sing+ = (singFun1 @(TyCon1 (Baz (d :: Nat) (d :: Nat))))+ ((SBaz (sing @d)) (sing @d))
− tests/compile-and-dump/Singletons/BadBoundedDeriving.ghc84.template
@@ -1,6 +0,0 @@--Singletons/BadBoundedDeriving.hs:0:0: error:- Can't derive Bounded instance for Foo_0 a_1.- |-5 | $(singletons [d|- | ^^^^^^^^^^^^^^...
+ tests/compile-and-dump/Singletons/BadBoundedDeriving.ghc86.template view
@@ -0,0 +1,6 @@++Singletons/BadBoundedDeriving.hs:0:0: error:+ Can't derive Bounded instance for Foo_0 a_1.+ |+5 | $(singletons [d|+ | ^^^^^^^^^^^^^^...
− tests/compile-and-dump/Singletons/BadEnumDeriving.ghc84.template
@@ -1,6 +0,0 @@--Singletons/BadEnumDeriving.hs:0:0: error:- Can't derive Enum instance for Foo_0 a_1.- |-5 | $(singletons [d|- | ^^^^^^^^^^^^^^...
+ tests/compile-and-dump/Singletons/BadEnumDeriving.ghc86.template view
@@ -0,0 +1,6 @@++Singletons/BadEnumDeriving.hs:0:0: error:+ Can't derive Enum instance for Foo_0 a_1.+ |+5 | $(singletons [d|+ | ^^^^^^^^^^^^^^...
− tests/compile-and-dump/Singletons/BoundedDeriving.ghc84.template
@@ -1,229 +0,0 @@-Singletons/BoundedDeriving.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| data Foo1- = Foo1- deriving Bounded- data Foo2- = A | B | C | D | E- deriving Bounded- data Foo3 a- = Foo3 a- deriving Bounded- data Foo4 (a :: Type) (b :: Type)- = Foo41 | Foo42- deriving Bounded- data Pair- = Pair Bool Bool- deriving Bounded |]- ======>- data Foo1- = Foo1- deriving Bounded- data Foo2- = A | B | C | D | E- deriving Bounded- data Foo3 a- = Foo3 a- deriving Bounded- data Foo4 (a :: Type) (b :: Type)- = Foo41 | Foo42- deriving Bounded- data Pair- = Pair Bool Bool- deriving Bounded- type Foo1Sym0 = Foo1- type ASym0 = A- type BSym0 = B- type CSym0 = C- type DSym0 = D- type ESym0 = E- type Foo3Sym1 (t :: a0123456789876543210) = Foo3 t- instance SuppressUnusedWarnings Foo3Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo3Sym0KindInference) GHC.Tuple.())- data Foo3Sym0 (l :: TyFun a0123456789876543210 (Foo3 a0123456789876543210))- = forall arg. SameKind (Apply Foo3Sym0 arg) (Foo3Sym1 arg) =>- Foo3Sym0KindInference- type instance Apply Foo3Sym0 l = Foo3 l- type Foo41Sym0 = Foo41- type Foo42Sym0 = Foo42- type PairSym2 (t :: Bool) (t :: Bool) = Pair t t- instance SuppressUnusedWarnings PairSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) PairSym1KindInference) GHC.Tuple.())- data PairSym1 (l :: Bool) (l :: TyFun Bool Pair)- = forall arg. SameKind (Apply (PairSym1 l) arg) (PairSym2 l arg) =>- PairSym1KindInference- type instance Apply (PairSym1 l) l = Pair l l- instance SuppressUnusedWarnings PairSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) PairSym0KindInference) GHC.Tuple.())- data PairSym0 (l :: TyFun Bool (TyFun Bool Pair -> Type))- = forall arg. SameKind (Apply PairSym0 arg) (PairSym1 arg) =>- PairSym0KindInference- type instance Apply PairSym0 l = PairSym1 l- type family MinBound_0123456789876543210 :: Foo1 where- MinBound_0123456789876543210 = Foo1Sym0- type MinBound_0123456789876543210Sym0 =- MinBound_0123456789876543210- type family MaxBound_0123456789876543210 :: Foo1 where- MaxBound_0123456789876543210 = Foo1Sym0- type MaxBound_0123456789876543210Sym0 =- MaxBound_0123456789876543210- instance PBounded Foo1 where- type MinBound = MinBound_0123456789876543210Sym0- type MaxBound = MaxBound_0123456789876543210Sym0- type family MinBound_0123456789876543210 :: Foo2 where- MinBound_0123456789876543210 = ASym0- type MinBound_0123456789876543210Sym0 =- MinBound_0123456789876543210- type family MaxBound_0123456789876543210 :: Foo2 where- MaxBound_0123456789876543210 = ESym0- type MaxBound_0123456789876543210Sym0 =- MaxBound_0123456789876543210- instance PBounded Foo2 where- type MinBound = MinBound_0123456789876543210Sym0- type MaxBound = MaxBound_0123456789876543210Sym0- type family MinBound_0123456789876543210 :: Foo3 a where- MinBound_0123456789876543210 = Apply Foo3Sym0 MinBoundSym0- type MinBound_0123456789876543210Sym0 =- MinBound_0123456789876543210- type family MaxBound_0123456789876543210 :: Foo3 a where- MaxBound_0123456789876543210 = Apply Foo3Sym0 MaxBoundSym0- type MaxBound_0123456789876543210Sym0 =- MaxBound_0123456789876543210- instance PBounded (Foo3 a) where- type MinBound = MinBound_0123456789876543210Sym0- type MaxBound = MaxBound_0123456789876543210Sym0- type family MinBound_0123456789876543210 :: Foo4 a b where- MinBound_0123456789876543210 = Foo41Sym0- type MinBound_0123456789876543210Sym0 =- MinBound_0123456789876543210- type family MaxBound_0123456789876543210 :: Foo4 a b where- MaxBound_0123456789876543210 = Foo42Sym0- type MaxBound_0123456789876543210Sym0 =- MaxBound_0123456789876543210- instance PBounded (Foo4 a b) where- type MinBound = MinBound_0123456789876543210Sym0- type MaxBound = MaxBound_0123456789876543210Sym0- type family MinBound_0123456789876543210 :: Pair where- MinBound_0123456789876543210 = Apply (Apply PairSym0 MinBoundSym0) MinBoundSym0- type MinBound_0123456789876543210Sym0 =- MinBound_0123456789876543210- type family MaxBound_0123456789876543210 :: Pair where- MaxBound_0123456789876543210 = Apply (Apply PairSym0 MaxBoundSym0) MaxBoundSym0- type MaxBound_0123456789876543210Sym0 =- MaxBound_0123456789876543210- instance PBounded Pair where- type MinBound = MinBound_0123456789876543210Sym0- type MaxBound = MaxBound_0123456789876543210Sym0- data instance Sing (z :: Foo1) where SFoo1 :: Sing Foo1- type SFoo1 = (Sing :: Foo1 -> Type)- instance SingKind Foo1 where- type Demote Foo1 = Foo1- fromSing SFoo1 = Foo1- toSing Foo1 = SomeSing SFoo1- data instance Sing (z :: Foo2)- where- SA :: Sing A- SB :: Sing B- SC :: Sing C- SD :: Sing D- SE :: Sing E- type SFoo2 = (Sing :: Foo2 -> Type)- instance SingKind Foo2 where- type Demote Foo2 = Foo2- fromSing SA = A- fromSing SB = B- fromSing SC = C- fromSing SD = D- fromSing SE = E- toSing A = SomeSing SA- toSing B = SomeSing SB- toSing C = SomeSing SC- toSing D = SomeSing SD- toSing E = SomeSing SE- data instance Sing (z :: Foo3 a)- where SFoo3 :: forall (n :: a). (Sing (n :: a)) -> Sing (Foo3 n)- type SFoo3 = (Sing :: Foo3 a -> Type)- instance SingKind a => SingKind (Foo3 a) where- type Demote (Foo3 a) = Foo3 (Demote a)- fromSing (SFoo3 b) = Foo3 (fromSing b)- toSing (Foo3 (b :: Demote a))- = case toSing b :: SomeSing a of {- SomeSing c -> SomeSing (SFoo3 c) }- data instance Sing (z :: Foo4 a b)- where- SFoo41 :: Sing Foo41- SFoo42 :: Sing Foo42- type SFoo4 = (Sing :: Foo4 a b -> Type)- instance (SingKind a, SingKind b) => SingKind (Foo4 a b) where- type Demote (Foo4 a b) = Foo4 (Demote a) (Demote b)- fromSing SFoo41 = Foo41- fromSing SFoo42 = Foo42- toSing Foo41 = SomeSing SFoo41- toSing Foo42 = SomeSing SFoo42- data instance Sing (z :: Pair)- where- SPair :: forall (n :: Bool) (n :: Bool).- (Sing (n :: Bool)) -> (Sing (n :: Bool)) -> Sing (Pair n n)- type SPair = (Sing :: Pair -> Type)- instance SingKind Pair where- type Demote Pair = Pair- fromSing (SPair b b) = (Pair (fromSing b)) (fromSing b)- toSing (Pair (b :: Demote Bool) (b :: Demote Bool))- = case- (GHC.Tuple.(,) (toSing b :: SomeSing Bool))- (toSing b :: SomeSing Bool)- of {- GHC.Tuple.(,) (SomeSing c) (SomeSing c) -> SomeSing ((SPair c) c) }- instance SBounded Foo1 where- sMinBound :: Sing (MinBoundSym0 :: Foo1)- sMaxBound :: Sing (MaxBoundSym0 :: Foo1)- sMinBound = SFoo1- sMaxBound = SFoo1- instance SBounded Foo2 where- sMinBound :: Sing (MinBoundSym0 :: Foo2)- sMaxBound :: Sing (MaxBoundSym0 :: Foo2)- sMinBound = SA- sMaxBound = SE- instance SBounded a => SBounded (Foo3 a) where- sMinBound :: Sing (MinBoundSym0 :: Foo3 a)- sMaxBound :: Sing (MaxBoundSym0 :: Foo3 a)- sMinBound = (applySing ((singFun1 @Foo3Sym0) SFoo3)) sMinBound- sMaxBound = (applySing ((singFun1 @Foo3Sym0) SFoo3)) sMaxBound- instance SBounded (Foo4 a b) where- sMinBound :: Sing (MinBoundSym0 :: Foo4 a b)- sMaxBound :: Sing (MaxBoundSym0 :: Foo4 a b)- sMinBound = SFoo41- sMaxBound = SFoo42- instance SBounded Bool => SBounded Pair where- sMinBound :: Sing (MinBoundSym0 :: Pair)- sMaxBound :: Sing (MaxBoundSym0 :: Pair)- sMinBound- = (applySing ((applySing ((singFun2 @PairSym0) SPair)) sMinBound))- sMinBound- sMaxBound- = (applySing ((applySing ((singFun2 @PairSym0) SPair)) sMaxBound))- sMaxBound- instance SingI Foo1 where- sing = SFoo1- instance SingI A where- sing = SA- instance SingI B where- sing = SB- instance SingI C where- sing = SC- instance SingI D where- sing = SD- instance SingI E where- sing = SE- instance SingI n => SingI (Foo3 (n :: a)) where- sing = SFoo3 sing- instance SingI Foo41 where- sing = SFoo41- instance SingI Foo42 where- sing = SFoo42- instance (SingI n, SingI n) =>- SingI (Pair (n :: Bool) (n :: Bool)) where- sing = (SPair sing) sing
+ tests/compile-and-dump/Singletons/BoundedDeriving.ghc86.template view
@@ -0,0 +1,249 @@+Singletons/BoundedDeriving.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| data Foo1+ = Foo1+ deriving Bounded+ data Foo2+ = A | B | C | D | E+ deriving Bounded+ data Foo3 a+ = Foo3 a+ deriving Bounded+ data Foo4 (a :: Type) (b :: Type)+ = Foo41 | Foo42+ deriving Bounded+ data Pair+ = Pair Bool Bool+ deriving Bounded |]+ ======>+ data Foo1+ = Foo1+ deriving Bounded+ data Foo2+ = A | B | C | D | E+ deriving Bounded+ data Foo3 a+ = Foo3 a+ deriving Bounded+ data Foo4 (a :: Type) (b :: Type)+ = Foo41 | Foo42+ deriving Bounded+ data Pair+ = Pair Bool Bool+ deriving Bounded+ type Foo1Sym0 = Foo1+ type ASym0 = A+ type BSym0 = B+ type CSym0 = C+ type DSym0 = D+ type ESym0 = E+ type Foo3Sym1 (t0123456789876543210 :: a0123456789876543210) =+ Foo3 t0123456789876543210+ instance SuppressUnusedWarnings Foo3Sym0 where+ suppressUnusedWarnings = snd (((,) Foo3Sym0KindInference) ())+ data Foo3Sym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 (Foo3 a0123456789876543210)+ where+ Foo3Sym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply Foo3Sym0 arg) (Foo3Sym1 arg) =>+ Foo3Sym0 t0123456789876543210+ type instance Apply Foo3Sym0 t0123456789876543210 = Foo3 t0123456789876543210+ type Foo41Sym0 = Foo41+ type Foo42Sym0 = Foo42+ type PairSym2 (t0123456789876543210 :: Bool) (t0123456789876543210 :: Bool) =+ Pair t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (PairSym1 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) PairSym1KindInference) ())+ data PairSym1 (t0123456789876543210 :: Bool) :: (~>) Bool Pair+ where+ PairSym1KindInference :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (PairSym1 t0123456789876543210) arg) (PairSym2 t0123456789876543210 arg) =>+ PairSym1 t0123456789876543210 t0123456789876543210+ type instance Apply (PairSym1 t0123456789876543210) t0123456789876543210 = Pair t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings PairSym0 where+ suppressUnusedWarnings = snd (((,) PairSym0KindInference) ())+ data PairSym0 :: (~>) Bool ((~>) Bool Pair)+ where+ PairSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply PairSym0 arg) (PairSym1 arg) =>+ PairSym0 t0123456789876543210+ type instance Apply PairSym0 t0123456789876543210 = PairSym1 t0123456789876543210+ type family MinBound_0123456789876543210 :: Foo1 where+ MinBound_0123456789876543210 = Foo1Sym0+ type MinBound_0123456789876543210Sym0 =+ MinBound_0123456789876543210+ type family MaxBound_0123456789876543210 :: Foo1 where+ MaxBound_0123456789876543210 = Foo1Sym0+ type MaxBound_0123456789876543210Sym0 =+ MaxBound_0123456789876543210+ instance PBounded Foo1 where+ type MinBound = MinBound_0123456789876543210Sym0+ type MaxBound = MaxBound_0123456789876543210Sym0+ type family MinBound_0123456789876543210 :: Foo2 where+ MinBound_0123456789876543210 = ASym0+ type MinBound_0123456789876543210Sym0 =+ MinBound_0123456789876543210+ type family MaxBound_0123456789876543210 :: Foo2 where+ MaxBound_0123456789876543210 = ESym0+ type MaxBound_0123456789876543210Sym0 =+ MaxBound_0123456789876543210+ instance PBounded Foo2 where+ type MinBound = MinBound_0123456789876543210Sym0+ type MaxBound = MaxBound_0123456789876543210Sym0+ type family MinBound_0123456789876543210 :: Foo3 a where+ MinBound_0123456789876543210 = Apply Foo3Sym0 MinBoundSym0+ type MinBound_0123456789876543210Sym0 =+ MinBound_0123456789876543210+ type family MaxBound_0123456789876543210 :: Foo3 a where+ MaxBound_0123456789876543210 = Apply Foo3Sym0 MaxBoundSym0+ type MaxBound_0123456789876543210Sym0 =+ MaxBound_0123456789876543210+ instance PBounded (Foo3 a) where+ type MinBound = MinBound_0123456789876543210Sym0+ type MaxBound = MaxBound_0123456789876543210Sym0+ type family MinBound_0123456789876543210 :: Foo4 a b where+ MinBound_0123456789876543210 = Foo41Sym0+ type MinBound_0123456789876543210Sym0 =+ MinBound_0123456789876543210+ type family MaxBound_0123456789876543210 :: Foo4 a b where+ MaxBound_0123456789876543210 = Foo42Sym0+ type MaxBound_0123456789876543210Sym0 =+ MaxBound_0123456789876543210+ instance PBounded (Foo4 a b) where+ type MinBound = MinBound_0123456789876543210Sym0+ type MaxBound = MaxBound_0123456789876543210Sym0+ type family MinBound_0123456789876543210 :: Pair where+ MinBound_0123456789876543210 = Apply (Apply PairSym0 MinBoundSym0) MinBoundSym0+ type MinBound_0123456789876543210Sym0 =+ MinBound_0123456789876543210+ type family MaxBound_0123456789876543210 :: Pair where+ MaxBound_0123456789876543210 = Apply (Apply PairSym0 MaxBoundSym0) MaxBoundSym0+ type MaxBound_0123456789876543210Sym0 =+ MaxBound_0123456789876543210+ instance PBounded Pair where+ type MinBound = MinBound_0123456789876543210Sym0+ type MaxBound = MaxBound_0123456789876543210Sym0+ data instance Sing :: Foo1 -> Type where SFoo1 :: Sing Foo1+ type SFoo1 = (Sing :: Foo1 -> Type)+ instance SingKind Foo1 where+ type Demote Foo1 = Foo1+ fromSing SFoo1 = Foo1+ toSing Foo1 = SomeSing SFoo1+ data instance Sing :: Foo2 -> Type+ where+ SA :: Sing A+ SB :: Sing B+ SC :: Sing C+ SD :: Sing D+ SE :: Sing E+ type SFoo2 = (Sing :: Foo2 -> Type)+ instance SingKind Foo2 where+ type Demote Foo2 = Foo2+ fromSing SA = A+ fromSing SB = B+ fromSing SC = C+ fromSing SD = D+ fromSing SE = E+ toSing A = SomeSing SA+ toSing B = SomeSing SB+ toSing C = SomeSing SC+ toSing D = SomeSing SD+ toSing E = SomeSing SE+ data instance Sing :: Foo3 a -> Type+ where SFoo3 :: forall a (n :: a). (Sing (n :: a)) -> Sing (Foo3 n)+ type SFoo3 = (Sing :: Foo3 a -> Type)+ instance SingKind a => SingKind (Foo3 a) where+ type Demote (Foo3 a) = Foo3 (Demote a)+ fromSing (SFoo3 b) = Foo3 (fromSing b)+ toSing (Foo3 (b :: Demote a))+ = case toSing b :: SomeSing a of {+ SomeSing c -> SomeSing (SFoo3 c) }+ data instance Sing :: Foo4 a b -> Type+ where+ SFoo41 :: Sing Foo41+ SFoo42 :: Sing Foo42+ type SFoo4 = (Sing :: Foo4 a b -> Type)+ instance (SingKind a, SingKind b) => SingKind (Foo4 a b) where+ type Demote (Foo4 a b) = Foo4 (Demote a) (Demote b)+ fromSing SFoo41 = Foo41+ fromSing SFoo42 = Foo42+ toSing Foo41 = SomeSing SFoo41+ toSing Foo42 = SomeSing SFoo42+ data instance Sing :: Pair -> Type+ where+ SPair :: forall (n :: Bool) (n :: Bool).+ (Sing (n :: Bool)) -> (Sing (n :: Bool)) -> Sing (Pair n n)+ type SPair = (Sing :: Pair -> Type)+ instance SingKind Pair where+ type Demote Pair = Pair+ fromSing (SPair b b) = (Pair (fromSing b)) (fromSing b)+ toSing (Pair (b :: Demote Bool) (b :: Demote Bool))+ = case+ ((,) (toSing b :: SomeSing Bool)) (toSing b :: SomeSing Bool)+ of {+ (,) (SomeSing c) (SomeSing c) -> SomeSing ((SPair c) c) }+ instance SBounded Foo1 where+ sMinBound :: Sing (MinBoundSym0 :: Foo1)+ sMaxBound :: Sing (MaxBoundSym0 :: Foo1)+ sMinBound = SFoo1+ sMaxBound = SFoo1+ instance SBounded Foo2 where+ sMinBound :: Sing (MinBoundSym0 :: Foo2)+ sMaxBound :: Sing (MaxBoundSym0 :: Foo2)+ sMinBound = SA+ sMaxBound = SE+ instance SBounded a => SBounded (Foo3 a) where+ sMinBound :: Sing (MinBoundSym0 :: Foo3 a)+ sMaxBound :: Sing (MaxBoundSym0 :: Foo3 a)+ sMinBound = (applySing ((singFun1 @Foo3Sym0) SFoo3)) sMinBound+ sMaxBound = (applySing ((singFun1 @Foo3Sym0) SFoo3)) sMaxBound+ instance SBounded (Foo4 a b) where+ sMinBound :: Sing (MinBoundSym0 :: Foo4 a b)+ sMaxBound :: Sing (MaxBoundSym0 :: Foo4 a b)+ sMinBound = SFoo41+ sMaxBound = SFoo42+ instance SBounded Bool => SBounded Pair where+ sMinBound :: Sing (MinBoundSym0 :: Pair)+ sMaxBound :: Sing (MaxBoundSym0 :: Pair)+ sMinBound+ = (applySing ((applySing ((singFun2 @PairSym0) SPair)) sMinBound))+ sMinBound+ sMaxBound+ = (applySing ((applySing ((singFun2 @PairSym0) SPair)) sMaxBound))+ sMaxBound+ instance SingI Foo1 where+ sing = SFoo1+ instance SingI A where+ sing = SA+ instance SingI B where+ sing = SB+ instance SingI C where+ sing = SC+ instance SingI D where+ sing = SD+ instance SingI E where+ sing = SE+ instance SingI n => SingI (Foo3 (n :: a)) where+ sing = SFoo3 sing+ instance SingI (Foo3Sym0 :: (~>) a (Foo3 a)) where+ sing = (singFun1 @Foo3Sym0) SFoo3+ instance SingI (TyCon1 Foo3 :: (~>) a (Foo3 a)) where+ sing = (singFun1 @(TyCon1 Foo3)) SFoo3+ instance SingI Foo41 where+ sing = SFoo41+ instance SingI Foo42 where+ sing = SFoo42+ instance (SingI n, SingI n) =>+ SingI (Pair (n :: Bool) (n :: Bool)) where+ sing = (SPair sing) sing+ instance SingI (PairSym0 :: (~>) Bool ((~>) Bool Pair)) where+ sing = (singFun2 @PairSym0) SPair+ instance SingI (TyCon2 Pair :: (~>) Bool ((~>) Bool Pair)) where+ sing = (singFun2 @(TyCon2 Pair)) SPair+ instance SingI d =>+ SingI (PairSym1 (d :: Bool) :: (~>) Bool Pair) where+ sing = (singFun1 @(PairSym1 (d :: Bool))) (SPair (sing @d))+ instance SingI d =>+ SingI (TyCon1 (Pair (d :: Bool)) :: (~>) Bool Pair) where+ sing = (singFun1 @(TyCon1 (Pair (d :: Bool)))) (SPair (sing @d))
tests/compile-and-dump/Singletons/BoundedDeriving.hs view
@@ -2,7 +2,7 @@ import Data.Singletons.Prelude import Data.Singletons.TH-import Data.Kind+import Data.Kind (Type) $(singletons [d| data Foo1 = Foo1 deriving (Bounded)
− tests/compile-and-dump/Singletons/BoxUnBox.ghc84.template
@@ -1,42 +0,0 @@-Singletons/BoxUnBox.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| unBox :: Box a -> a- unBox (FBox a) = a- - data Box a = FBox a |]- ======>- data Box a = FBox a- unBox :: Box a -> a- unBox (FBox a) = a- type FBoxSym1 (t :: a0123456789876543210) = FBox t- instance SuppressUnusedWarnings FBoxSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) FBoxSym0KindInference) GHC.Tuple.())- data FBoxSym0 (l :: TyFun a0123456789876543210 (Box a0123456789876543210))- = forall arg. SameKind (Apply FBoxSym0 arg) (FBoxSym1 arg) =>- FBoxSym0KindInference- type instance Apply FBoxSym0 l = FBox l- type UnBoxSym1 (t :: Box a0123456789876543210) = UnBox t- instance SuppressUnusedWarnings UnBoxSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) UnBoxSym0KindInference) GHC.Tuple.())- data UnBoxSym0 (l :: TyFun (Box a0123456789876543210) a0123456789876543210)- = forall arg. SameKind (Apply UnBoxSym0 arg) (UnBoxSym1 arg) =>- UnBoxSym0KindInference- type instance Apply UnBoxSym0 l = UnBox l- type family UnBox (a :: Box a) :: a where- UnBox (FBox a) = a- sUnBox ::- forall (t :: Box a). Sing t -> Sing (Apply UnBoxSym0 t :: a)- sUnBox (SFBox (sA :: Sing a)) = sA- data instance Sing (z :: Box a)- where SFBox :: forall (n :: a). (Sing (n :: a)) -> Sing (FBox n)- type SBox = (Sing :: Box a -> GHC.Types.Type)- instance SingKind a => SingKind (Box a) where- type Demote (Box a) = Box (Demote a)- fromSing (SFBox b) = FBox (fromSing b)- toSing (FBox (b :: Demote a))- = case toSing b :: SomeSing a of {- SomeSing c -> SomeSing (SFBox c) }- instance SingI n => SingI (FBox (n :: a)) where- sing = SFBox sing
+ tests/compile-and-dump/Singletons/BoxUnBox.ghc86.template view
@@ -0,0 +1,54 @@+Singletons/BoxUnBox.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| unBox :: Box a -> a+ unBox (FBox a) = a+ + data Box a = FBox a |]+ ======>+ data Box a = FBox a+ unBox :: Box a -> a+ unBox (FBox a) = a+ type FBoxSym1 (t0123456789876543210 :: a0123456789876543210) =+ FBox t0123456789876543210+ instance SuppressUnusedWarnings FBoxSym0 where+ suppressUnusedWarnings = snd (((,) FBoxSym0KindInference) ())+ data FBoxSym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 (Box a0123456789876543210)+ where+ FBoxSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply FBoxSym0 arg) (FBoxSym1 arg) =>+ FBoxSym0 t0123456789876543210+ type instance Apply FBoxSym0 t0123456789876543210 = FBox t0123456789876543210+ type UnBoxSym1 (a0123456789876543210 :: Box a0123456789876543210) =+ UnBox a0123456789876543210+ instance SuppressUnusedWarnings UnBoxSym0 where+ suppressUnusedWarnings = snd (((,) UnBoxSym0KindInference) ())+ data UnBoxSym0 :: forall a0123456789876543210.+ (~>) (Box a0123456789876543210) a0123456789876543210+ where+ UnBoxSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply UnBoxSym0 arg) (UnBoxSym1 arg) =>+ UnBoxSym0 a0123456789876543210+ type instance Apply UnBoxSym0 a0123456789876543210 = UnBox a0123456789876543210+ type family UnBox (a :: Box a) :: a where+ UnBox (FBox a) = a+ sUnBox ::+ forall a (t :: Box a). Sing t -> Sing (Apply UnBoxSym0 t :: a)+ sUnBox (SFBox (sA :: Sing a)) = sA+ instance SingI (UnBoxSym0 :: (~>) (Box a) a) where+ sing = (singFun1 @UnBoxSym0) sUnBox+ data instance Sing :: Box a -> GHC.Types.Type+ where SFBox :: forall a (n :: a). (Sing (n :: a)) -> Sing (FBox n)+ type SBox = (Sing :: Box a -> GHC.Types.Type)+ instance SingKind a => SingKind (Box a) where+ type Demote (Box a) = Box (Demote a)+ fromSing (SFBox b) = FBox (fromSing b)+ toSing (FBox (b :: Demote a))+ = case toSing b :: SomeSing a of {+ SomeSing c -> SomeSing (SFBox c) }+ instance SingI n => SingI (FBox (n :: a)) where+ sing = SFBox sing+ instance SingI (FBoxSym0 :: (~>) a (Box a)) where+ sing = (singFun1 @FBoxSym0) SFBox+ instance SingI (TyCon1 FBox :: (~>) a (Box a)) where+ sing = (singFun1 @(TyCon1 FBox)) SFBox
tests/compile-and-dump/Singletons/BoxUnBox.hs view
@@ -1,5 +1,3 @@-{-# OPTIONS_GHC -Wno-unused-imports #-}- module Singletons.BoxUnBox where import Data.Singletons.TH
− tests/compile-and-dump/Singletons/CaseExpressions.ghc84.template
@@ -1,273 +0,0 @@-Singletons/CaseExpressions.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| foo1 :: a -> Maybe a -> a- foo1 d x- = case x of- Just y -> y- Nothing -> d- foo2 :: a -> Maybe a -> a- foo2 d _ = case (Just d) of { Just y -> y }- foo3 :: a -> b -> a- foo3 a b = case (a, b) of { (p, _) -> p }- foo4 :: forall a. a -> a- foo4 x- = case x of {- y -> let- z :: a- z = y- in z }- foo5 :: a -> a- foo5 x = case x of { y -> (\ _ -> x) y } |]- ======>- foo1 :: a -> Maybe a -> a- foo1 d x- = case x of- Just y -> y- Nothing -> d- foo2 :: a -> Maybe a -> a- foo2 d _ = case Just d of { Just y -> y }- foo3 :: a -> b -> a- foo3 a b = case (a, b) of { (p, _) -> p }- foo4 :: forall a. a -> a- foo4 x- = case x of {- y -> let- z :: a- z = y- in z }- foo5 :: a -> a- foo5 x = case x of { y -> (\ _ -> x) y }- type family Case_0123456789876543210 x y arg_0123456789876543210 t where- Case_0123456789876543210 x y arg_0123456789876543210 _ = x- type family Lambda_0123456789876543210 x y t where- Lambda_0123456789876543210 x y arg_0123456789876543210 = Case_0123456789876543210 x y arg_0123456789876543210 arg_0123456789876543210- type Lambda_0123456789876543210Sym3 t t t =- Lambda_0123456789876543210 t t t- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym2 l l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym2 l l) arg) (Lambda_0123456789876543210Sym3 l l arg) =>- Lambda_0123456789876543210Sym2KindInference- type instance Apply (Lambda_0123456789876543210Sym2 l l) l = Lambda_0123456789876543210 l l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym1 l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym1 l) arg) (Lambda_0123456789876543210Sym2 l arg) =>- Lambda_0123456789876543210Sym1KindInference- type instance Apply (Lambda_0123456789876543210Sym1 l) l = Lambda_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym0 l- = forall arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>- Lambda_0123456789876543210Sym0KindInference- type instance Apply Lambda_0123456789876543210Sym0 l = Lambda_0123456789876543210Sym1 l- type family Case_0123456789876543210 x t where- Case_0123456789876543210 x y = Apply (Apply (Apply Lambda_0123456789876543210Sym0 x) y) y- type Let0123456789876543210ZSym2 t t = Let0123456789876543210Z t t- instance SuppressUnusedWarnings Let0123456789876543210ZSym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210ZSym1KindInference)- GHC.Tuple.())- data Let0123456789876543210ZSym1 l l- = forall arg. SameKind (Apply (Let0123456789876543210ZSym1 l) arg) (Let0123456789876543210ZSym2 l arg) =>- Let0123456789876543210ZSym1KindInference- type instance Apply (Let0123456789876543210ZSym1 l) l = Let0123456789876543210Z l l- instance SuppressUnusedWarnings Let0123456789876543210ZSym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210ZSym0KindInference)- GHC.Tuple.())- data Let0123456789876543210ZSym0 l- = forall arg. SameKind (Apply Let0123456789876543210ZSym0 arg) (Let0123456789876543210ZSym1 arg) =>- Let0123456789876543210ZSym0KindInference- type instance Apply Let0123456789876543210ZSym0 l = Let0123456789876543210ZSym1 l- type family Let0123456789876543210Z x y :: a where- Let0123456789876543210Z x y = y- type family Case_0123456789876543210 x t where- Case_0123456789876543210 x y = Let0123456789876543210ZSym2 x y- type Let0123456789876543210Scrutinee_0123456789876543210Sym2 t t =- Let0123456789876543210Scrutinee_0123456789876543210 t t- instance SuppressUnusedWarnings Let0123456789876543210Scrutinee_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,)- Let0123456789876543210Scrutinee_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Let0123456789876543210Scrutinee_0123456789876543210Sym1 l l- = forall arg. SameKind (Apply (Let0123456789876543210Scrutinee_0123456789876543210Sym1 l) arg) (Let0123456789876543210Scrutinee_0123456789876543210Sym2 l arg) =>- Let0123456789876543210Scrutinee_0123456789876543210Sym1KindInference- type instance Apply (Let0123456789876543210Scrutinee_0123456789876543210Sym1 l) l = Let0123456789876543210Scrutinee_0123456789876543210 l l- instance SuppressUnusedWarnings Let0123456789876543210Scrutinee_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,)- Let0123456789876543210Scrutinee_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Let0123456789876543210Scrutinee_0123456789876543210Sym0 l- = forall arg. SameKind (Apply Let0123456789876543210Scrutinee_0123456789876543210Sym0 arg) (Let0123456789876543210Scrutinee_0123456789876543210Sym1 arg) =>- Let0123456789876543210Scrutinee_0123456789876543210Sym0KindInference- type instance Apply Let0123456789876543210Scrutinee_0123456789876543210Sym0 l = Let0123456789876543210Scrutinee_0123456789876543210Sym1 l- type family Let0123456789876543210Scrutinee_0123456789876543210 a b where- Let0123456789876543210Scrutinee_0123456789876543210 a b = Apply (Apply Tuple2Sym0 a) b- type family Case_0123456789876543210 a b t where- Case_0123456789876543210 a b '(p, _) = p- type Let0123456789876543210Scrutinee_0123456789876543210Sym1 t =- Let0123456789876543210Scrutinee_0123456789876543210 t- instance SuppressUnusedWarnings Let0123456789876543210Scrutinee_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,)- Let0123456789876543210Scrutinee_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Let0123456789876543210Scrutinee_0123456789876543210Sym0 l- = forall arg. SameKind (Apply Let0123456789876543210Scrutinee_0123456789876543210Sym0 arg) (Let0123456789876543210Scrutinee_0123456789876543210Sym1 arg) =>- Let0123456789876543210Scrutinee_0123456789876543210Sym0KindInference- type instance Apply Let0123456789876543210Scrutinee_0123456789876543210Sym0 l = Let0123456789876543210Scrutinee_0123456789876543210 l- type family Let0123456789876543210Scrutinee_0123456789876543210 d where- Let0123456789876543210Scrutinee_0123456789876543210 d = Apply JustSym0 d- type family Case_0123456789876543210 d t where- Case_0123456789876543210 d (Just y) = y- type family Case_0123456789876543210 d x t where- Case_0123456789876543210 d x (Just y) = y- Case_0123456789876543210 d x Nothing = d- type Foo5Sym1 (t :: a0123456789876543210) = Foo5 t- instance SuppressUnusedWarnings Foo5Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo5Sym0KindInference) GHC.Tuple.())- data Foo5Sym0 (l :: TyFun a0123456789876543210 a0123456789876543210)- = forall arg. SameKind (Apply Foo5Sym0 arg) (Foo5Sym1 arg) =>- Foo5Sym0KindInference- type instance Apply Foo5Sym0 l = Foo5 l- type Foo4Sym1 (t :: a0123456789876543210) = Foo4 t- instance SuppressUnusedWarnings Foo4Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo4Sym0KindInference) GHC.Tuple.())- data Foo4Sym0 (l :: TyFun a0123456789876543210 a0123456789876543210)- = forall arg. SameKind (Apply Foo4Sym0 arg) (Foo4Sym1 arg) =>- Foo4Sym0KindInference- type instance Apply Foo4Sym0 l = Foo4 l- type Foo3Sym2 (t :: a0123456789876543210) (t :: b0123456789876543210) =- Foo3 t t- instance SuppressUnusedWarnings Foo3Sym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo3Sym1KindInference) GHC.Tuple.())- data Foo3Sym1 (l :: a0123456789876543210) (l :: TyFun b0123456789876543210 a0123456789876543210)- = forall arg. SameKind (Apply (Foo3Sym1 l) arg) (Foo3Sym2 l arg) =>- Foo3Sym1KindInference- type instance Apply (Foo3Sym1 l) l = Foo3 l l- instance SuppressUnusedWarnings Foo3Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo3Sym0KindInference) GHC.Tuple.())- data Foo3Sym0 (l :: TyFun a0123456789876543210 (TyFun b0123456789876543210 a0123456789876543210- -> GHC.Types.Type))- = forall arg. SameKind (Apply Foo3Sym0 arg) (Foo3Sym1 arg) =>- Foo3Sym0KindInference- type instance Apply Foo3Sym0 l = Foo3Sym1 l- type Foo2Sym2 (t :: a0123456789876543210) (t :: Maybe a0123456789876543210) =- Foo2 t t- instance SuppressUnusedWarnings Foo2Sym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo2Sym1KindInference) GHC.Tuple.())- data Foo2Sym1 (l :: a0123456789876543210) (l :: TyFun (Maybe a0123456789876543210) a0123456789876543210)- = forall arg. SameKind (Apply (Foo2Sym1 l) arg) (Foo2Sym2 l arg) =>- Foo2Sym1KindInference- type instance Apply (Foo2Sym1 l) l = Foo2 l l- instance SuppressUnusedWarnings Foo2Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo2Sym0KindInference) GHC.Tuple.())- data Foo2Sym0 (l :: TyFun a0123456789876543210 (TyFun (Maybe a0123456789876543210) a0123456789876543210- -> GHC.Types.Type))- = forall arg. SameKind (Apply Foo2Sym0 arg) (Foo2Sym1 arg) =>- Foo2Sym0KindInference- type instance Apply Foo2Sym0 l = Foo2Sym1 l- type Foo1Sym2 (t :: a0123456789876543210) (t :: Maybe a0123456789876543210) =- Foo1 t t- instance SuppressUnusedWarnings Foo1Sym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo1Sym1KindInference) GHC.Tuple.())- data Foo1Sym1 (l :: a0123456789876543210) (l :: TyFun (Maybe a0123456789876543210) a0123456789876543210)- = forall arg. SameKind (Apply (Foo1Sym1 l) arg) (Foo1Sym2 l arg) =>- Foo1Sym1KindInference- type instance Apply (Foo1Sym1 l) l = Foo1 l l- instance SuppressUnusedWarnings Foo1Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo1Sym0KindInference) GHC.Tuple.())- data Foo1Sym0 (l :: TyFun a0123456789876543210 (TyFun (Maybe a0123456789876543210) a0123456789876543210- -> GHC.Types.Type))- = forall arg. SameKind (Apply Foo1Sym0 arg) (Foo1Sym1 arg) =>- Foo1Sym0KindInference- type instance Apply Foo1Sym0 l = Foo1Sym1 l- type family Foo5 (a :: a) :: a where- Foo5 x = Case_0123456789876543210 x x- type family Foo4 (a :: a) :: a where- Foo4 x = Case_0123456789876543210 x x- type family Foo3 (a :: a) (a :: b) :: a where- Foo3 a b = Case_0123456789876543210 a b (Let0123456789876543210Scrutinee_0123456789876543210Sym2 a b)- type family Foo2 (a :: a) (a :: Maybe a) :: a where- Foo2 d _ = Case_0123456789876543210 d (Let0123456789876543210Scrutinee_0123456789876543210Sym1 d)- type family Foo1 (a :: a) (a :: Maybe a) :: a where- Foo1 d x = Case_0123456789876543210 d x x- sFoo5 :: forall (t :: a). Sing t -> Sing (Apply Foo5Sym0 t :: a)- sFoo4 :: forall (t :: a). Sing t -> Sing (Apply Foo4Sym0 t :: a)- sFoo3 ::- forall (t :: a) (t :: b).- Sing t -> Sing t -> Sing (Apply (Apply Foo3Sym0 t) t :: a)- sFoo2 ::- forall (t :: a) (t :: Maybe a).- Sing t -> Sing t -> Sing (Apply (Apply Foo2Sym0 t) t :: a)- sFoo1 ::- forall (t :: a) (t :: Maybe a).- Sing t -> Sing t -> Sing (Apply (Apply Foo1Sym0 t) t :: a)- sFoo5 (sX :: Sing x)- = case sX of {- sY :: Sing y- -> (applySing- ((singFun1 @(Apply (Apply Lambda_0123456789876543210Sym0 x) y))- (\ sArg_0123456789876543210- -> case sArg_0123456789876543210 of {- _ :: Sing arg_0123456789876543210- -> case sArg_0123456789876543210 of { _ -> sX } ::- Sing (Case_0123456789876543210 x y arg_0123456789876543210 arg_0123456789876543210) })))- sY } ::- Sing (Case_0123456789876543210 x x :: a)- sFoo4 (sX :: Sing x)- = case sX of {- sY :: Sing y- -> let- sZ :: Sing (Let0123456789876543210ZSym2 x y :: a)- sZ = sY- in sZ } ::- Sing (Case_0123456789876543210 x x :: a)- sFoo3 (sA :: Sing a) (sB :: Sing b)- = let- sScrutinee_0123456789876543210 ::- Sing (Let0123456789876543210Scrutinee_0123456789876543210Sym2 a b)- sScrutinee_0123456789876543210- = (applySing ((applySing ((singFun2 @Tuple2Sym0) STuple2)) sA)) sB- in case sScrutinee_0123456789876543210 of {- STuple2 (sP :: Sing p) _ -> sP } ::- Sing (Case_0123456789876543210 a b (Let0123456789876543210Scrutinee_0123456789876543210Sym2 a b) :: a)- sFoo2 (sD :: Sing d) _- = let- sScrutinee_0123456789876543210 ::- Sing (Let0123456789876543210Scrutinee_0123456789876543210Sym1 d)- sScrutinee_0123456789876543210- = (applySing ((singFun1 @JustSym0) SJust)) sD- in case sScrutinee_0123456789876543210 of {- SJust (sY :: Sing y) -> sY } ::- Sing (Case_0123456789876543210 d (Let0123456789876543210Scrutinee_0123456789876543210Sym1 d) :: a)- sFoo1 (sD :: Sing d) (sX :: Sing x)- = case sX of- SJust (sY :: Sing y) -> sY- SNothing -> sD ::- Sing (Case_0123456789876543210 d x x :: a)
+ tests/compile-and-dump/Singletons/CaseExpressions.ghc86.template view
@@ -0,0 +1,319 @@+Singletons/CaseExpressions.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| foo1 :: a -> Maybe a -> a+ foo1 d x+ = case x of+ Just y -> y+ Nothing -> d+ foo2 :: a -> Maybe a -> a+ foo2 d _ = case (Just d) of { Just y -> y }+ foo3 :: a -> b -> a+ foo3 a b = case (a, b) of { (p, _) -> p }+ foo4 :: forall a. a -> a+ foo4 x+ = case x of {+ y -> let+ z :: a+ z = y+ in z }+ foo5 :: a -> a+ foo5 x = case x of { y -> (\ _ -> x) y } |]+ ======>+ foo1 :: a -> Maybe a -> a+ foo1 d x+ = case x of+ Just y -> y+ Nothing -> d+ foo2 :: a -> Maybe a -> a+ foo2 d _ = case Just d of { Just y -> y }+ foo3 :: a -> b -> a+ foo3 a b = case (a, b) of { (p, _) -> p }+ foo4 :: forall a. a -> a+ foo4 x+ = case x of {+ y -> let+ z :: a+ z = y+ in z }+ foo5 :: a -> a+ foo5 x = case x of { y -> (\ _ -> x) y }+ type family Case_0123456789876543210 x y arg_0123456789876543210 t where+ Case_0123456789876543210 x y arg_0123456789876543210 _ = x+ type family Lambda_0123456789876543210 x y t where+ Lambda_0123456789876543210 x y arg_0123456789876543210 = Case_0123456789876543210 x y arg_0123456789876543210 arg_0123456789876543210+ type Lambda_0123456789876543210Sym3 x0123456789876543210 y0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 x0123456789876543210 y0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 y0123456789876543210 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 x0123456789876543210 y0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall x0123456789876543210+ y0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 x0123456789876543210 y0123456789876543210) arg) (Lambda_0123456789876543210Sym3 x0123456789876543210 y0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 x0123456789876543210 y0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 y0123456789876543210 x0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 y0123456789876543210 x0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 x0123456789876543210 y0123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall x0123456789876543210+ y0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 x0123456789876543210) arg) (Lambda_0123456789876543210Sym2 x0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 x0123456789876543210 y0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 x0123456789876543210) y0123456789876543210 = Lambda_0123456789876543210Sym2 x0123456789876543210 y0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 x0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 x0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 x0123456789876543210 = Lambda_0123456789876543210Sym1 x0123456789876543210+ type family Case_0123456789876543210 x t where+ Case_0123456789876543210 x y = Apply (Apply (Apply Lambda_0123456789876543210Sym0 x) y) y+ type Let0123456789876543210ZSym2 x0123456789876543210 y0123456789876543210 =+ Let0123456789876543210Z x0123456789876543210 y0123456789876543210+ instance SuppressUnusedWarnings (Let0123456789876543210ZSym1 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210ZSym1KindInference) ())+ data Let0123456789876543210ZSym1 x0123456789876543210 y0123456789876543210+ where+ Let0123456789876543210ZSym1KindInference :: forall x0123456789876543210+ y0123456789876543210+ arg. SameKind (Apply (Let0123456789876543210ZSym1 x0123456789876543210) arg) (Let0123456789876543210ZSym2 x0123456789876543210 arg) =>+ Let0123456789876543210ZSym1 x0123456789876543210 y0123456789876543210+ type instance Apply (Let0123456789876543210ZSym1 x0123456789876543210) y0123456789876543210 = Let0123456789876543210Z x0123456789876543210 y0123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210ZSym0 where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210ZSym0KindInference) ())+ data Let0123456789876543210ZSym0 x0123456789876543210+ where+ Let0123456789876543210ZSym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Let0123456789876543210ZSym0 arg) (Let0123456789876543210ZSym1 arg) =>+ Let0123456789876543210ZSym0 x0123456789876543210+ type instance Apply Let0123456789876543210ZSym0 x0123456789876543210 = Let0123456789876543210ZSym1 x0123456789876543210+ type family Let0123456789876543210Z x y :: a where+ Let0123456789876543210Z x y = y+ type family Case_0123456789876543210 x t where+ Case_0123456789876543210 x y = Let0123456789876543210ZSym2 x y+ type Let0123456789876543210Scrutinee_0123456789876543210Sym2 a0123456789876543210 b0123456789876543210 =+ Let0123456789876543210Scrutinee_0123456789876543210 a0123456789876543210 b0123456789876543210+ instance SuppressUnusedWarnings (Let0123456789876543210Scrutinee_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd+ (((,)+ Let0123456789876543210Scrutinee_0123456789876543210Sym1KindInference)+ ())+ data Let0123456789876543210Scrutinee_0123456789876543210Sym1 a0123456789876543210 b0123456789876543210+ where+ Let0123456789876543210Scrutinee_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ b0123456789876543210+ arg. SameKind (Apply (Let0123456789876543210Scrutinee_0123456789876543210Sym1 a0123456789876543210) arg) (Let0123456789876543210Scrutinee_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Let0123456789876543210Scrutinee_0123456789876543210Sym1 a0123456789876543210 b0123456789876543210+ type instance Apply (Let0123456789876543210Scrutinee_0123456789876543210Sym1 a0123456789876543210) b0123456789876543210 = Let0123456789876543210Scrutinee_0123456789876543210 a0123456789876543210 b0123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210Scrutinee_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd+ (((,)+ Let0123456789876543210Scrutinee_0123456789876543210Sym0KindInference)+ ())+ data Let0123456789876543210Scrutinee_0123456789876543210Sym0 a0123456789876543210+ where+ Let0123456789876543210Scrutinee_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Let0123456789876543210Scrutinee_0123456789876543210Sym0 arg) (Let0123456789876543210Scrutinee_0123456789876543210Sym1 arg) =>+ Let0123456789876543210Scrutinee_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Let0123456789876543210Scrutinee_0123456789876543210Sym0 a0123456789876543210 = Let0123456789876543210Scrutinee_0123456789876543210Sym1 a0123456789876543210+ type family Let0123456789876543210Scrutinee_0123456789876543210 a b where+ Let0123456789876543210Scrutinee_0123456789876543210 a b = Apply (Apply Tuple2Sym0 a) b+ type family Case_0123456789876543210 a b t where+ Case_0123456789876543210 a b '(p, _) = p+ type Let0123456789876543210Scrutinee_0123456789876543210Sym1 d0123456789876543210 =+ Let0123456789876543210Scrutinee_0123456789876543210 d0123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210Scrutinee_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd+ (((,)+ Let0123456789876543210Scrutinee_0123456789876543210Sym0KindInference)+ ())+ data Let0123456789876543210Scrutinee_0123456789876543210Sym0 d0123456789876543210+ where+ Let0123456789876543210Scrutinee_0123456789876543210Sym0KindInference :: forall d0123456789876543210+ arg. SameKind (Apply Let0123456789876543210Scrutinee_0123456789876543210Sym0 arg) (Let0123456789876543210Scrutinee_0123456789876543210Sym1 arg) =>+ Let0123456789876543210Scrutinee_0123456789876543210Sym0 d0123456789876543210+ type instance Apply Let0123456789876543210Scrutinee_0123456789876543210Sym0 d0123456789876543210 = Let0123456789876543210Scrutinee_0123456789876543210 d0123456789876543210+ type family Let0123456789876543210Scrutinee_0123456789876543210 d where+ Let0123456789876543210Scrutinee_0123456789876543210 d = Apply JustSym0 d+ type family Case_0123456789876543210 d t where+ Case_0123456789876543210 d ( 'Just y) = y+ type family Case_0123456789876543210 d x t where+ Case_0123456789876543210 d x ( 'Just y) = y+ Case_0123456789876543210 d x 'Nothing = d+ type Foo5Sym1 (a0123456789876543210 :: a0123456789876543210) =+ Foo5 a0123456789876543210+ instance SuppressUnusedWarnings Foo5Sym0 where+ suppressUnusedWarnings = snd (((,) Foo5Sym0KindInference) ())+ data Foo5Sym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 a0123456789876543210+ where+ Foo5Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo5Sym0 arg) (Foo5Sym1 arg) =>+ Foo5Sym0 a0123456789876543210+ type instance Apply Foo5Sym0 a0123456789876543210 = Foo5 a0123456789876543210+ type Foo4Sym1 (a0123456789876543210 :: a0123456789876543210) =+ Foo4 a0123456789876543210+ instance SuppressUnusedWarnings Foo4Sym0 where+ suppressUnusedWarnings = snd (((,) Foo4Sym0KindInference) ())+ data Foo4Sym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 a0123456789876543210+ where+ Foo4Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo4Sym0 arg) (Foo4Sym1 arg) =>+ Foo4Sym0 a0123456789876543210+ type instance Apply Foo4Sym0 a0123456789876543210 = Foo4 a0123456789876543210+ type Foo3Sym2 (a0123456789876543210 :: a0123456789876543210) (a0123456789876543210 :: b0123456789876543210) =+ Foo3 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Foo3Sym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) Foo3Sym1KindInference) ())+ data Foo3Sym1 (a0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210.+ (~>) b0123456789876543210 a0123456789876543210+ where+ Foo3Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Foo3Sym1 a0123456789876543210) arg) (Foo3Sym2 a0123456789876543210 arg) =>+ Foo3Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Foo3Sym1 a0123456789876543210) a0123456789876543210 = Foo3 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Foo3Sym0 where+ suppressUnusedWarnings = snd (((,) Foo3Sym0KindInference) ())+ data Foo3Sym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) a0123456789876543210 ((~>) b0123456789876543210 a0123456789876543210)+ where+ Foo3Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo3Sym0 arg) (Foo3Sym1 arg) =>+ Foo3Sym0 a0123456789876543210+ type instance Apply Foo3Sym0 a0123456789876543210 = Foo3Sym1 a0123456789876543210+ type Foo2Sym2 (a0123456789876543210 :: a0123456789876543210) (a0123456789876543210 :: Maybe a0123456789876543210) =+ Foo2 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Foo2Sym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) Foo2Sym1KindInference) ())+ data Foo2Sym1 (a0123456789876543210 :: a0123456789876543210) :: (~>) (Maybe a0123456789876543210) a0123456789876543210+ where+ Foo2Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Foo2Sym1 a0123456789876543210) arg) (Foo2Sym2 a0123456789876543210 arg) =>+ Foo2Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Foo2Sym1 a0123456789876543210) a0123456789876543210 = Foo2 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Foo2Sym0 where+ suppressUnusedWarnings = snd (((,) Foo2Sym0KindInference) ())+ data Foo2Sym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 ((~>) (Maybe a0123456789876543210) a0123456789876543210)+ where+ Foo2Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo2Sym0 arg) (Foo2Sym1 arg) =>+ Foo2Sym0 a0123456789876543210+ type instance Apply Foo2Sym0 a0123456789876543210 = Foo2Sym1 a0123456789876543210+ type Foo1Sym2 (a0123456789876543210 :: a0123456789876543210) (a0123456789876543210 :: Maybe a0123456789876543210) =+ Foo1 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Foo1Sym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) Foo1Sym1KindInference) ())+ data Foo1Sym1 (a0123456789876543210 :: a0123456789876543210) :: (~>) (Maybe a0123456789876543210) a0123456789876543210+ where+ Foo1Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Foo1Sym1 a0123456789876543210) arg) (Foo1Sym2 a0123456789876543210 arg) =>+ Foo1Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Foo1Sym1 a0123456789876543210) a0123456789876543210 = Foo1 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Foo1Sym0 where+ suppressUnusedWarnings = snd (((,) Foo1Sym0KindInference) ())+ data Foo1Sym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 ((~>) (Maybe a0123456789876543210) a0123456789876543210)+ where+ Foo1Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo1Sym0 arg) (Foo1Sym1 arg) =>+ Foo1Sym0 a0123456789876543210+ type instance Apply Foo1Sym0 a0123456789876543210 = Foo1Sym1 a0123456789876543210+ type family Foo5 (a :: a) :: a where+ Foo5 x = Case_0123456789876543210 x x+ type family Foo4 (a :: a) :: a where+ Foo4 x = Case_0123456789876543210 x x+ type family Foo3 (a :: a) (a :: b) :: a where+ Foo3 a b = Case_0123456789876543210 a b (Let0123456789876543210Scrutinee_0123456789876543210Sym2 a b)+ type family Foo2 (a :: a) (a :: Maybe a) :: a where+ Foo2 d _ = Case_0123456789876543210 d (Let0123456789876543210Scrutinee_0123456789876543210Sym1 d)+ type family Foo1 (a :: a) (a :: Maybe a) :: a where+ Foo1 d x = Case_0123456789876543210 d x x+ sFoo5 :: forall a (t :: a). Sing t -> Sing (Apply Foo5Sym0 t :: a)+ sFoo4 :: forall a (t :: a). Sing t -> Sing (Apply Foo4Sym0 t :: a)+ sFoo3 ::+ forall a b (t :: a) (t :: b).+ Sing t -> Sing t -> Sing (Apply (Apply Foo3Sym0 t) t :: a)+ sFoo2 ::+ forall a (t :: a) (t :: Maybe a).+ Sing t -> Sing t -> Sing (Apply (Apply Foo2Sym0 t) t :: a)+ sFoo1 ::+ forall a (t :: a) (t :: Maybe a).+ Sing t -> Sing t -> Sing (Apply (Apply Foo1Sym0 t) t :: a)+ sFoo5 (sX :: Sing x)+ = (case sX of {+ (sY :: Sing y)+ -> (applySing+ ((singFun1 @(Apply (Apply Lambda_0123456789876543210Sym0 x) y))+ (\ sArg_0123456789876543210+ -> case sArg_0123456789876543210 of {+ (_ :: Sing arg_0123456789876543210)+ -> (case sArg_0123456789876543210 of { _ -> sX }) ::+ Sing (Case_0123456789876543210 x y arg_0123456789876543210 arg_0123456789876543210) })))+ sY }) ::+ Sing (Case_0123456789876543210 x x :: a)+ sFoo4 (sX :: Sing x)+ = (case sX of {+ (sY :: Sing y)+ -> let+ sZ :: Sing (Let0123456789876543210ZSym2 x y :: a)+ sZ = sY+ in sZ }) ::+ Sing (Case_0123456789876543210 x x :: a)+ sFoo3 (sA :: Sing a) (sB :: Sing b)+ = let+ sScrutinee_0123456789876543210 ::+ Sing (Let0123456789876543210Scrutinee_0123456789876543210Sym2 a b)+ sScrutinee_0123456789876543210+ = (applySing ((applySing ((singFun2 @Tuple2Sym0) STuple2)) sA)) sB+ in (case sScrutinee_0123456789876543210 of {+ STuple2 (sP :: Sing p) _ -> sP }) ::+ Sing (Case_0123456789876543210 a b (Let0123456789876543210Scrutinee_0123456789876543210Sym2 a b) :: a)+ sFoo2 (sD :: Sing d) _+ = let+ sScrutinee_0123456789876543210 ::+ Sing (Let0123456789876543210Scrutinee_0123456789876543210Sym1 d)+ sScrutinee_0123456789876543210+ = (applySing ((singFun1 @JustSym0) SJust)) sD+ in (case sScrutinee_0123456789876543210 of {+ SJust (sY :: Sing y) -> sY }) ::+ Sing (Case_0123456789876543210 d (Let0123456789876543210Scrutinee_0123456789876543210Sym1 d) :: a)+ sFoo1 (sD :: Sing d) (sX :: Sing x)+ = (case sX of+ SJust (sY :: Sing y) -> sY+ SNothing -> sD) ::+ Sing (Case_0123456789876543210 d x x :: a)+ instance SingI (Foo5Sym0 :: (~>) a a) where+ sing = (singFun1 @Foo5Sym0) sFoo5+ instance SingI (Foo4Sym0 :: (~>) a a) where+ sing = (singFun1 @Foo4Sym0) sFoo4+ instance SingI (Foo3Sym0 :: (~>) a ((~>) b a)) where+ sing = (singFun2 @Foo3Sym0) sFoo3+ instance SingI d => SingI (Foo3Sym1 (d :: a) :: (~>) b a) where+ sing = (singFun1 @(Foo3Sym1 (d :: a))) (sFoo3 (sing @d))+ instance SingI (Foo2Sym0 :: (~>) a ((~>) (Maybe a) a)) where+ sing = (singFun2 @Foo2Sym0) sFoo2+ instance SingI d =>+ SingI (Foo2Sym1 (d :: a) :: (~>) (Maybe a) a) where+ sing = (singFun1 @(Foo2Sym1 (d :: a))) (sFoo2 (sing @d))+ instance SingI (Foo1Sym0 :: (~>) a ((~>) (Maybe a) a)) where+ sing = (singFun2 @Foo1Sym0) sFoo1+ instance SingI d =>+ SingI (Foo1Sym1 (d :: a) :: (~>) (Maybe a) a) where+ sing = (singFun1 @(Foo1Sym1 (d :: a))) (sFoo1 (sing @d))
tests/compile-and-dump/Singletons/CaseExpressions.hs view
@@ -1,5 +1,4 @@ {-# OPTIONS_GHC -Wno-incomplete-patterns #-}-{-# OPTIONS_GHC -Wno-unused-imports #-} module Singletons.CaseExpressions where
− tests/compile-and-dump/Singletons/Classes.ghc84.template
@@ -1,533 +0,0 @@-Singletons/Classes.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| infix 4 <=>- - const :: a -> b -> a- const x _ = x- fooCompare :: Foo -> Foo -> Ordering- fooCompare A A = EQ- fooCompare A B = LT- fooCompare B B = GT- fooCompare B A = EQ- - class MyOrd a where- mycompare :: a -> a -> Ordering- (<=>) :: a -> a -> Ordering- (<=>) = mycompare- infix 4 <=>- data Foo = A | B- data Foo2 = F | G- - instance MyOrd () where- mycompare _ = const EQ- instance MyOrd Nat where- Zero `mycompare` Zero = EQ- Zero `mycompare` (Succ _) = LT- (Succ _) `mycompare` Zero = GT- (Succ n) `mycompare` (Succ m) = m `mycompare` n- instance MyOrd Foo where- mycompare = fooCompare- instance Eq Foo2 where- F == F = True- G == G = True- F == G = False- G == F = False |]- ======>- const :: a -> b -> a- const x _ = x- class MyOrd a where- mycompare :: a -> a -> Ordering- (<=>) :: a -> a -> Ordering- (<=>) = mycompare- infix 4 <=>- instance MyOrd Nat where- mycompare Zero Zero = EQ- mycompare Zero (Succ _) = LT- mycompare (Succ _) Zero = GT- mycompare (Succ n) (Succ m) = (m `mycompare` n)- instance MyOrd () where- mycompare _ = const EQ- data Foo = A | B- fooCompare :: Foo -> Foo -> Ordering- fooCompare A A = EQ- fooCompare A B = LT- fooCompare B B = GT- fooCompare B A = EQ- instance MyOrd Foo where- mycompare = fooCompare- data Foo2 = F | G- instance Eq Foo2 where- (==) F F = True- (==) G G = True- (==) F G = False- (==) G F = False- type ASym0 = A- type BSym0 = B- type FSym0 = F- type GSym0 = G- type FooCompareSym2 (t :: Foo) (t :: Foo) = FooCompare t t- instance SuppressUnusedWarnings FooCompareSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) FooCompareSym1KindInference) GHC.Tuple.())- data FooCompareSym1 (l :: Foo) (l :: TyFun Foo Ordering)- = forall arg. SameKind (Apply (FooCompareSym1 l) arg) (FooCompareSym2 l arg) =>- FooCompareSym1KindInference- type instance Apply (FooCompareSym1 l) l = FooCompare l l- instance SuppressUnusedWarnings FooCompareSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) FooCompareSym0KindInference) GHC.Tuple.())- data FooCompareSym0 (l :: TyFun Foo (TyFun Foo Ordering- -> GHC.Types.Type))- = forall arg. SameKind (Apply FooCompareSym0 arg) (FooCompareSym1 arg) =>- FooCompareSym0KindInference- type instance Apply FooCompareSym0 l = FooCompareSym1 l- type ConstSym2 (t :: a0123456789876543210) (t :: b0123456789876543210) =- Const t t- instance SuppressUnusedWarnings ConstSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) ConstSym1KindInference) GHC.Tuple.())- data ConstSym1 (l :: a0123456789876543210) (l :: TyFun b0123456789876543210 a0123456789876543210)- = forall arg. SameKind (Apply (ConstSym1 l) arg) (ConstSym2 l arg) =>- ConstSym1KindInference- type instance Apply (ConstSym1 l) l = Const l l- instance SuppressUnusedWarnings ConstSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) ConstSym0KindInference) GHC.Tuple.())- data ConstSym0 (l :: TyFun a0123456789876543210 (TyFun b0123456789876543210 a0123456789876543210- -> GHC.Types.Type))- = forall arg. SameKind (Apply ConstSym0 arg) (ConstSym1 arg) =>- ConstSym0KindInference- type instance Apply ConstSym0 l = ConstSym1 l- type family FooCompare (a :: Foo) (a :: Foo) :: Ordering where- FooCompare A A = EQSym0- FooCompare A B = LTSym0- FooCompare B B = GTSym0- FooCompare B A = EQSym0- type family Const (a :: a) (a :: b) :: a where- Const x _ = x- type MycompareSym2 (t :: a0123456789876543210) (t :: a0123456789876543210) =- Mycompare t t- instance SuppressUnusedWarnings MycompareSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) MycompareSym1KindInference) GHC.Tuple.())- data MycompareSym1 (l :: a0123456789876543210) (l :: TyFun a0123456789876543210 Ordering)- = forall arg. SameKind (Apply (MycompareSym1 l) arg) (MycompareSym2 l arg) =>- MycompareSym1KindInference- type instance Apply (MycompareSym1 l) l = Mycompare l l- instance SuppressUnusedWarnings MycompareSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) MycompareSym0KindInference) GHC.Tuple.())- data MycompareSym0 (l :: TyFun a0123456789876543210 (TyFun a0123456789876543210 Ordering- -> GHC.Types.Type))- = forall arg. SameKind (Apply MycompareSym0 arg) (MycompareSym1 arg) =>- MycompareSym0KindInference- type instance Apply MycompareSym0 l = MycompareSym1 l- type (<=>@#@$$$) (t :: a0123456789876543210) (t :: a0123456789876543210) =- (<=>) t t- instance SuppressUnusedWarnings (<=>@#@$$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (:<=>@#@$$###)) GHC.Tuple.())- data (<=>@#@$$) (l :: a0123456789876543210) (l :: TyFun a0123456789876543210 Ordering)- = forall arg. SameKind (Apply ((<=>@#@$$) l) arg) ((<=>@#@$$$) l arg) =>- (:<=>@#@$$###)- type instance Apply ((<=>@#@$$) l) l = (<=>) l l- instance SuppressUnusedWarnings (<=>@#@$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (:<=>@#@$###)) GHC.Tuple.())- data (<=>@#@$) (l :: TyFun a0123456789876543210 (TyFun a0123456789876543210 Ordering- -> GHC.Types.Type))- = forall arg. SameKind (Apply (<=>@#@$) arg) ((<=>@#@$$) arg) =>- (:<=>@#@$###)- type instance Apply (<=>@#@$) l = (<=>@#@$$) l- type family TFHelper_0123456789876543210 (a :: a) (a :: a) :: Ordering where- TFHelper_0123456789876543210 a_0123456789876543210 a_0123456789876543210 = Apply (Apply MycompareSym0 a_0123456789876543210) a_0123456789876543210- type TFHelper_0123456789876543210Sym2 (t :: a0123456789876543210) (t :: a0123456789876543210) =- TFHelper_0123456789876543210 t t- instance SuppressUnusedWarnings TFHelper_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) TFHelper_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data TFHelper_0123456789876543210Sym1 (l :: a0123456789876543210) (l :: TyFun a0123456789876543210 Ordering)- = forall arg. SameKind (Apply (TFHelper_0123456789876543210Sym1 l) arg) (TFHelper_0123456789876543210Sym2 l arg) =>- TFHelper_0123456789876543210Sym1KindInference- type instance Apply (TFHelper_0123456789876543210Sym1 l) l = TFHelper_0123456789876543210 l l- instance SuppressUnusedWarnings TFHelper_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) TFHelper_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data TFHelper_0123456789876543210Sym0 (l :: TyFun a0123456789876543210 (TyFun a0123456789876543210 Ordering- -> GHC.Types.Type))- = forall arg. SameKind (Apply TFHelper_0123456789876543210Sym0 arg) (TFHelper_0123456789876543210Sym1 arg) =>- TFHelper_0123456789876543210Sym0KindInference- type instance Apply TFHelper_0123456789876543210Sym0 l = TFHelper_0123456789876543210Sym1 l- class PMyOrd (a :: GHC.Types.Type) where- type Mycompare (arg :: a) (arg :: a) :: Ordering- type (<=>) (arg :: a) (arg :: a) :: Ordering- type (<=>) a a = Apply (Apply TFHelper_0123456789876543210Sym0 a) a- type family Mycompare_0123456789876543210 (a :: Nat) (a :: Nat) :: Ordering where- Mycompare_0123456789876543210 Zero Zero = EQSym0- Mycompare_0123456789876543210 Zero (Succ _) = LTSym0- Mycompare_0123456789876543210 (Succ _) Zero = GTSym0- Mycompare_0123456789876543210 (Succ n) (Succ m) = Apply (Apply MycompareSym0 m) n- type Mycompare_0123456789876543210Sym2 (t :: Nat) (t :: Nat) =- Mycompare_0123456789876543210 t t- instance SuppressUnusedWarnings Mycompare_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Mycompare_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Mycompare_0123456789876543210Sym1 (l :: Nat) (l :: TyFun Nat Ordering)- = forall arg. SameKind (Apply (Mycompare_0123456789876543210Sym1 l) arg) (Mycompare_0123456789876543210Sym2 l arg) =>- Mycompare_0123456789876543210Sym1KindInference- type instance Apply (Mycompare_0123456789876543210Sym1 l) l = Mycompare_0123456789876543210 l l- instance SuppressUnusedWarnings Mycompare_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Mycompare_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Mycompare_0123456789876543210Sym0 (l :: TyFun Nat (TyFun Nat Ordering- -> GHC.Types.Type))- = forall arg. SameKind (Apply Mycompare_0123456789876543210Sym0 arg) (Mycompare_0123456789876543210Sym1 arg) =>- Mycompare_0123456789876543210Sym0KindInference- type instance Apply Mycompare_0123456789876543210Sym0 l = Mycompare_0123456789876543210Sym1 l- instance PMyOrd Nat where- type Mycompare a a = Apply (Apply Mycompare_0123456789876543210Sym0 a) a- type family Mycompare_0123456789876543210 (a :: ()) (a :: ()) :: Ordering where- Mycompare_0123456789876543210 _ a_0123456789876543210 = Apply (Apply ConstSym0 EQSym0) a_0123456789876543210- type Mycompare_0123456789876543210Sym2 (t :: ()) (t :: ()) =- Mycompare_0123456789876543210 t t- instance SuppressUnusedWarnings Mycompare_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Mycompare_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Mycompare_0123456789876543210Sym1 (l :: ()) (l :: TyFun () Ordering)- = forall arg. SameKind (Apply (Mycompare_0123456789876543210Sym1 l) arg) (Mycompare_0123456789876543210Sym2 l arg) =>- Mycompare_0123456789876543210Sym1KindInference- type instance Apply (Mycompare_0123456789876543210Sym1 l) l = Mycompare_0123456789876543210 l l- instance SuppressUnusedWarnings Mycompare_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Mycompare_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Mycompare_0123456789876543210Sym0 (l :: TyFun () (TyFun () Ordering- -> GHC.Types.Type))- = forall arg. SameKind (Apply Mycompare_0123456789876543210Sym0 arg) (Mycompare_0123456789876543210Sym1 arg) =>- Mycompare_0123456789876543210Sym0KindInference- type instance Apply Mycompare_0123456789876543210Sym0 l = Mycompare_0123456789876543210Sym1 l- instance PMyOrd () where- type Mycompare a a = Apply (Apply Mycompare_0123456789876543210Sym0 a) a- type family Mycompare_0123456789876543210 (a :: Foo) (a :: Foo) :: Ordering where- Mycompare_0123456789876543210 a_0123456789876543210 a_0123456789876543210 = Apply (Apply FooCompareSym0 a_0123456789876543210) a_0123456789876543210- type Mycompare_0123456789876543210Sym2 (t :: Foo) (t :: Foo) =- Mycompare_0123456789876543210 t t- instance SuppressUnusedWarnings Mycompare_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Mycompare_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Mycompare_0123456789876543210Sym1 (l :: Foo) (l :: TyFun Foo Ordering)- = forall arg. SameKind (Apply (Mycompare_0123456789876543210Sym1 l) arg) (Mycompare_0123456789876543210Sym2 l arg) =>- Mycompare_0123456789876543210Sym1KindInference- type instance Apply (Mycompare_0123456789876543210Sym1 l) l = Mycompare_0123456789876543210 l l- instance SuppressUnusedWarnings Mycompare_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Mycompare_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Mycompare_0123456789876543210Sym0 (l :: TyFun Foo (TyFun Foo Ordering- -> GHC.Types.Type))- = forall arg. SameKind (Apply Mycompare_0123456789876543210Sym0 arg) (Mycompare_0123456789876543210Sym1 arg) =>- Mycompare_0123456789876543210Sym0KindInference- type instance Apply Mycompare_0123456789876543210Sym0 l = Mycompare_0123456789876543210Sym1 l- instance PMyOrd Foo where- type Mycompare a a = Apply (Apply Mycompare_0123456789876543210Sym0 a) a- type family TFHelper_0123456789876543210 (a :: Foo2) (a :: Foo2) :: Bool where- TFHelper_0123456789876543210 F F = TrueSym0- TFHelper_0123456789876543210 G G = TrueSym0- TFHelper_0123456789876543210 F G = FalseSym0- TFHelper_0123456789876543210 G F = FalseSym0- type TFHelper_0123456789876543210Sym2 (t :: Foo2) (t :: Foo2) =- TFHelper_0123456789876543210 t t- instance SuppressUnusedWarnings TFHelper_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) TFHelper_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data TFHelper_0123456789876543210Sym1 (l :: Foo2) (l :: TyFun Foo2 Bool)- = forall arg. SameKind (Apply (TFHelper_0123456789876543210Sym1 l) arg) (TFHelper_0123456789876543210Sym2 l arg) =>- TFHelper_0123456789876543210Sym1KindInference- type instance Apply (TFHelper_0123456789876543210Sym1 l) l = TFHelper_0123456789876543210 l l- instance SuppressUnusedWarnings TFHelper_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) TFHelper_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data TFHelper_0123456789876543210Sym0 (l :: TyFun Foo2 (TyFun Foo2 Bool- -> GHC.Types.Type))- = forall arg. SameKind (Apply TFHelper_0123456789876543210Sym0 arg) (TFHelper_0123456789876543210Sym1 arg) =>- TFHelper_0123456789876543210Sym0KindInference- type instance Apply TFHelper_0123456789876543210Sym0 l = TFHelper_0123456789876543210Sym1 l- instance PEq Foo2 where- type (==) a a = Apply (Apply TFHelper_0123456789876543210Sym0 a) a- infix 4 %<=>- sFooCompare ::- forall (t :: Foo) (t :: Foo).- Sing t- -> Sing t -> Sing (Apply (Apply FooCompareSym0 t) t :: Ordering)- sConst ::- forall (t :: a) (t :: b).- Sing t -> Sing t -> Sing (Apply (Apply ConstSym0 t) t :: a)- sFooCompare SA SA = SEQ- sFooCompare SA SB = SLT- sFooCompare SB SB = SGT- sFooCompare SB SA = SEQ- sConst (sX :: Sing x) _ = sX- data instance Sing (z :: Foo)- where- SA :: Sing A- SB :: Sing B- type SFoo = (Sing :: Foo -> GHC.Types.Type)- instance SingKind Foo where- type Demote Foo = Foo- fromSing SA = A- fromSing SB = B- toSing A = SomeSing SA- toSing B = SomeSing SB- data instance Sing (z :: Foo2)- where- SF :: Sing F- SG :: Sing G- type SFoo2 = (Sing :: Foo2 -> GHC.Types.Type)- instance SingKind Foo2 where- type Demote Foo2 = Foo2- fromSing SF = F- fromSing SG = G- toSing F = SomeSing SF- toSing G = SomeSing SG- class SMyOrd a where- sMycompare ::- forall (t :: a) (t :: a).- Sing t- -> Sing t -> Sing (Apply (Apply MycompareSym0 t) t :: Ordering)- (%<=>) ::- forall (t :: a) (t :: a).- Sing t -> Sing t -> Sing (Apply (Apply (<=>@#@$) t) t :: Ordering)- default (%<=>) ::- forall (t :: a) (t :: a).- (Apply (Apply (<=>@#@$) t) t :: Ordering) ~ Apply (Apply TFHelper_0123456789876543210Sym0 t) t =>- Sing t -> Sing t -> Sing (Apply (Apply (<=>@#@$) t) t :: Ordering)- (%<=>)- (sA_0123456789876543210 :: Sing a_0123456789876543210)- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @MycompareSym0) sMycompare))- sA_0123456789876543210))- sA_0123456789876543210- instance SMyOrd Nat where- sMycompare ::- forall (t :: Nat) (t :: Nat).- Sing t- -> Sing t -> Sing (Apply (Apply MycompareSym0 t) t :: Ordering)- sMycompare SZero SZero = SEQ- sMycompare SZero (SSucc _) = SLT- sMycompare (SSucc _) SZero = SGT- sMycompare (SSucc (sN :: Sing n)) (SSucc (sM :: Sing m))- = (applySing- ((applySing ((singFun2 @MycompareSym0) sMycompare)) sM))- sN- instance SMyOrd () where- sMycompare ::- forall (t :: ()) (t :: ()).- Sing t- -> Sing t -> Sing (Apply (Apply MycompareSym0 t) t :: Ordering)- sMycompare _ (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing ((applySing ((singFun2 @ConstSym0) sConst)) SEQ))- sA_0123456789876543210- instance SMyOrd Foo where- sMycompare ::- forall (t :: Foo) (t :: Foo).- Sing t- -> Sing t -> Sing (Apply (Apply MycompareSym0 t) t :: Ordering)- sMycompare- (sA_0123456789876543210 :: Sing a_0123456789876543210)- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @FooCompareSym0) sFooCompare))- sA_0123456789876543210))- sA_0123456789876543210- instance SEq Foo2 where- (%==) ::- forall (a :: Foo2) (b :: Foo2). Sing a -> Sing b -> Sing ((==) a b)- (%==) SF SF = STrue- (%==) SG SG = STrue- (%==) SF SG = SFalse- (%==) SG SF = SFalse- instance SingI A where- sing = SA- instance SingI B where- sing = SB- instance SingI F where- sing = SF- instance SingI G where- sing = SG-Singletons/Classes.hs:(0,0)-(0,0): Splicing declarations- promote- [d| instance Ord Foo2 where- F `compare` F = EQ- F `compare` _ = LT- _ `compare` _ = GT- instance MyOrd Foo2 where- F `mycompare` F = EQ- F `mycompare` _ = LT- _ `mycompare` _ = GT |]- ======>- instance MyOrd Foo2 where- mycompare F F = EQ- mycompare F _ = LT- mycompare _ _ = GT- instance Ord Foo2 where- compare F F = EQ- compare F _ = LT- compare _ _ = GT- type family Mycompare_0123456789876543210 (a :: Foo2) (a :: Foo2) :: Ordering where- Mycompare_0123456789876543210 F F = EQSym0- Mycompare_0123456789876543210 F _ = LTSym0- Mycompare_0123456789876543210 _ _ = GTSym0- type Mycompare_0123456789876543210Sym2 (t :: Foo2) (t :: Foo2) =- Mycompare_0123456789876543210 t t- instance SuppressUnusedWarnings Mycompare_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Mycompare_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Mycompare_0123456789876543210Sym1 (l :: Foo2) (l :: TyFun Foo2 Ordering)- = forall arg. SameKind (Apply (Mycompare_0123456789876543210Sym1 l) arg) (Mycompare_0123456789876543210Sym2 l arg) =>- Mycompare_0123456789876543210Sym1KindInference- type instance Apply (Mycompare_0123456789876543210Sym1 l) l = Mycompare_0123456789876543210 l l- instance SuppressUnusedWarnings Mycompare_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Mycompare_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Mycompare_0123456789876543210Sym0 (l :: TyFun Foo2 (TyFun Foo2 Ordering- -> GHC.Types.Type))- = forall arg. SameKind (Apply Mycompare_0123456789876543210Sym0 arg) (Mycompare_0123456789876543210Sym1 arg) =>- Mycompare_0123456789876543210Sym0KindInference- type instance Apply Mycompare_0123456789876543210Sym0 l = Mycompare_0123456789876543210Sym1 l- instance PMyOrd Foo2 where- type Mycompare a a = Apply (Apply Mycompare_0123456789876543210Sym0 a) a- type family Compare_0123456789876543210 (a :: Foo2) (a :: Foo2) :: Ordering where- Compare_0123456789876543210 F F = EQSym0- Compare_0123456789876543210 F _ = LTSym0- Compare_0123456789876543210 _ _ = GTSym0- type Compare_0123456789876543210Sym2 (t :: Foo2) (t :: Foo2) =- Compare_0123456789876543210 t t- instance SuppressUnusedWarnings Compare_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Compare_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Compare_0123456789876543210Sym1 (l :: Foo2) (l :: TyFun Foo2 Ordering)- = forall arg. SameKind (Apply (Compare_0123456789876543210Sym1 l) arg) (Compare_0123456789876543210Sym2 l arg) =>- Compare_0123456789876543210Sym1KindInference- type instance Apply (Compare_0123456789876543210Sym1 l) l = Compare_0123456789876543210 l l- instance SuppressUnusedWarnings Compare_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Compare_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Compare_0123456789876543210Sym0 (l :: TyFun Foo2 (TyFun Foo2 Ordering- -> GHC.Types.Type))- = forall arg. SameKind (Apply Compare_0123456789876543210Sym0 arg) (Compare_0123456789876543210Sym1 arg) =>- Compare_0123456789876543210Sym0KindInference- type instance Apply Compare_0123456789876543210Sym0 l = Compare_0123456789876543210Sym1 l- instance POrd Foo2 where- type Compare a a = Apply (Apply Compare_0123456789876543210Sym0 a) a-Singletons/Classes.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| data Nat' = Zero' | Succ' Nat'- - instance MyOrd Nat' where- Zero' `mycompare` Zero' = EQ- Zero' `mycompare` (Succ' _) = LT- (Succ' _) `mycompare` Zero' = GT- (Succ' n) `mycompare` (Succ' m) = m `mycompare` n |]- ======>- data Nat' = Zero' | Succ' Nat'- instance MyOrd Nat' where- mycompare Zero' Zero' = EQ- mycompare Zero' (Succ' _) = LT- mycompare (Succ' _) Zero' = GT- mycompare (Succ' n) (Succ' m) = (m `mycompare` n)- type Zero'Sym0 = Zero'- type Succ'Sym1 (t :: Nat') = Succ' t- instance SuppressUnusedWarnings Succ'Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Succ'Sym0KindInference) GHC.Tuple.())- data Succ'Sym0 (l :: TyFun Nat' Nat')- = forall arg. SameKind (Apply Succ'Sym0 arg) (Succ'Sym1 arg) =>- Succ'Sym0KindInference- type instance Apply Succ'Sym0 l = Succ' l- type family Mycompare_0123456789876543210 (a :: Nat') (a :: Nat') :: Ordering where- Mycompare_0123456789876543210 Zero' Zero' = EQSym0- Mycompare_0123456789876543210 Zero' (Succ' _) = LTSym0- Mycompare_0123456789876543210 (Succ' _) Zero' = GTSym0- Mycompare_0123456789876543210 (Succ' n) (Succ' m) = Apply (Apply MycompareSym0 m) n- type Mycompare_0123456789876543210Sym2 (t :: Nat') (t :: Nat') =- Mycompare_0123456789876543210 t t- instance SuppressUnusedWarnings Mycompare_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Mycompare_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Mycompare_0123456789876543210Sym1 (l :: Nat') (l :: TyFun Nat' Ordering)- = forall arg. SameKind (Apply (Mycompare_0123456789876543210Sym1 l) arg) (Mycompare_0123456789876543210Sym2 l arg) =>- Mycompare_0123456789876543210Sym1KindInference- type instance Apply (Mycompare_0123456789876543210Sym1 l) l = Mycompare_0123456789876543210 l l- instance SuppressUnusedWarnings Mycompare_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Mycompare_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Mycompare_0123456789876543210Sym0 (l :: TyFun Nat' (TyFun Nat' Ordering- -> GHC.Types.Type))- = forall arg. SameKind (Apply Mycompare_0123456789876543210Sym0 arg) (Mycompare_0123456789876543210Sym1 arg) =>- Mycompare_0123456789876543210Sym0KindInference- type instance Apply Mycompare_0123456789876543210Sym0 l = Mycompare_0123456789876543210Sym1 l- instance PMyOrd Nat' where- type Mycompare a a = Apply (Apply Mycompare_0123456789876543210Sym0 a) a- data instance Sing (z :: Nat')- where- SZero' :: Sing Zero'- SSucc' :: forall (n :: Nat'). (Sing (n :: Nat')) -> Sing (Succ' n)- type SNat' = (Sing :: Nat' -> GHC.Types.Type)- instance SingKind Nat' where- type Demote Nat' = Nat'- fromSing SZero' = Zero'- fromSing (SSucc' b) = Succ' (fromSing b)- toSing Zero' = SomeSing SZero'- toSing (Succ' (b :: Demote Nat'))- = case toSing b :: SomeSing Nat' of {- SomeSing c -> SomeSing (SSucc' c) }- instance SMyOrd Nat' where- sMycompare ::- forall (t :: Nat') (t :: Nat').- Sing t- -> Sing t- -> Sing (Apply (Apply (MycompareSym0 :: TyFun Nat' (TyFun Nat' Ordering- -> GHC.Types.Type)- -> GHC.Types.Type) t) t)- sMycompare SZero' SZero' = SEQ- sMycompare SZero' (SSucc' _) = SLT- sMycompare (SSucc' _) SZero' = SGT- sMycompare (SSucc' (sN :: Sing n)) (SSucc' (sM :: Sing m))- = (applySing- ((applySing ((singFun2 @MycompareSym0) sMycompare)) sM))- sN- instance SingI Zero' where- sing = SZero'- instance SingI n => SingI (Succ' (n :: Nat')) where- sing = SSucc' sing
+ tests/compile-and-dump/Singletons/Classes.ghc86.template view
@@ -0,0 +1,577 @@+Singletons/Classes.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| infix 4 <=>+ + const :: a -> b -> a+ const x _ = x+ fooCompare :: Foo -> Foo -> Ordering+ fooCompare A A = EQ+ fooCompare A B = LT+ fooCompare B B = GT+ fooCompare B A = EQ+ + class MyOrd a where+ mycompare :: a -> a -> Ordering+ (<=>) :: a -> a -> Ordering+ (<=>) = mycompare+ infix 4 <=>+ data Foo = A | B+ data Foo2 = F | G+ + instance MyOrd () where+ mycompare _ = const EQ+ instance MyOrd Nat where+ Zero `mycompare` Zero = EQ+ Zero `mycompare` (Succ _) = LT+ (Succ _) `mycompare` Zero = GT+ (Succ n) `mycompare` (Succ m) = m `mycompare` n+ instance MyOrd Foo where+ mycompare = fooCompare+ instance Eq Foo2 where+ F == F = True+ G == G = True+ F == G = False+ G == F = False |]+ ======>+ const :: a -> b -> a+ const x _ = x+ class MyOrd a where+ mycompare :: a -> a -> Ordering+ (<=>) :: a -> a -> Ordering+ (<=>) = mycompare+ infix 4 <=>+ instance MyOrd Nat where+ mycompare Zero Zero = EQ+ mycompare Zero (Succ _) = LT+ mycompare (Succ _) Zero = GT+ mycompare (Succ n) (Succ m) = (m `mycompare` n)+ instance MyOrd () where+ mycompare _ = const EQ+ data Foo = A | B+ fooCompare :: Foo -> Foo -> Ordering+ fooCompare A A = EQ+ fooCompare A B = LT+ fooCompare B B = GT+ fooCompare B A = EQ+ instance MyOrd Foo where+ mycompare = fooCompare+ data Foo2 = F | G+ instance Eq Foo2 where+ (==) F F = True+ (==) G G = True+ (==) F G = False+ (==) G F = False+ type ASym0 = A+ type BSym0 = B+ type FSym0 = F+ type GSym0 = G+ type FooCompareSym2 (a0123456789876543210 :: Foo) (a0123456789876543210 :: Foo) =+ FooCompare a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (FooCompareSym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) FooCompareSym1KindInference) ())+ data FooCompareSym1 (a0123456789876543210 :: Foo) :: (~>) Foo Ordering+ where+ FooCompareSym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (FooCompareSym1 a0123456789876543210) arg) (FooCompareSym2 a0123456789876543210 arg) =>+ FooCompareSym1 a0123456789876543210 a0123456789876543210+ type instance Apply (FooCompareSym1 a0123456789876543210) a0123456789876543210 = FooCompare a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings FooCompareSym0 where+ suppressUnusedWarnings = snd (((,) FooCompareSym0KindInference) ())+ data FooCompareSym0 :: (~>) Foo ((~>) Foo Ordering)+ where+ FooCompareSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply FooCompareSym0 arg) (FooCompareSym1 arg) =>+ FooCompareSym0 a0123456789876543210+ type instance Apply FooCompareSym0 a0123456789876543210 = FooCompareSym1 a0123456789876543210+ type ConstSym2 (a0123456789876543210 :: a0123456789876543210) (a0123456789876543210 :: b0123456789876543210) =+ Const a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ConstSym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) ConstSym1KindInference) ())+ data ConstSym1 (a0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210.+ (~>) b0123456789876543210 a0123456789876543210+ where+ ConstSym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ConstSym1 a0123456789876543210) arg) (ConstSym2 a0123456789876543210 arg) =>+ ConstSym1 a0123456789876543210 a0123456789876543210+ type instance Apply (ConstSym1 a0123456789876543210) a0123456789876543210 = Const a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ConstSym0 where+ suppressUnusedWarnings = snd (((,) ConstSym0KindInference) ())+ data ConstSym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) a0123456789876543210 ((~>) b0123456789876543210 a0123456789876543210)+ where+ ConstSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply ConstSym0 arg) (ConstSym1 arg) =>+ ConstSym0 a0123456789876543210+ type instance Apply ConstSym0 a0123456789876543210 = ConstSym1 a0123456789876543210+ type family FooCompare (a :: Foo) (a :: Foo) :: Ordering where+ FooCompare A A = EQSym0+ FooCompare A B = LTSym0+ FooCompare B B = GTSym0+ FooCompare B A = EQSym0+ type family Const (a :: a) (a :: b) :: a where+ Const x _ = x+ type MycompareSym2 (arg0123456789876543210 :: a0123456789876543210) (arg0123456789876543210 :: a0123456789876543210) =+ Mycompare arg0123456789876543210 arg0123456789876543210+ instance SuppressUnusedWarnings (MycompareSym1 arg0123456789876543210) where+ suppressUnusedWarnings = snd (((,) MycompareSym1KindInference) ())+ data MycompareSym1 (arg0123456789876543210 :: a0123456789876543210) :: (~>) a0123456789876543210 Ordering+ where+ MycompareSym1KindInference :: forall arg0123456789876543210+ arg0123456789876543210+ arg. SameKind (Apply (MycompareSym1 arg0123456789876543210) arg) (MycompareSym2 arg0123456789876543210 arg) =>+ MycompareSym1 arg0123456789876543210 arg0123456789876543210+ type instance Apply (MycompareSym1 arg0123456789876543210) arg0123456789876543210 = Mycompare arg0123456789876543210 arg0123456789876543210+ instance SuppressUnusedWarnings MycompareSym0 where+ suppressUnusedWarnings = snd (((,) MycompareSym0KindInference) ())+ data MycompareSym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 ((~>) a0123456789876543210 Ordering)+ where+ MycompareSym0KindInference :: forall arg0123456789876543210+ arg. SameKind (Apply MycompareSym0 arg) (MycompareSym1 arg) =>+ MycompareSym0 arg0123456789876543210+ type instance Apply MycompareSym0 arg0123456789876543210 = MycompareSym1 arg0123456789876543210+ type (<=>@#@$$$) (arg0123456789876543210 :: a0123456789876543210) (arg0123456789876543210 :: a0123456789876543210) =+ (<=>) arg0123456789876543210 arg0123456789876543210+ instance SuppressUnusedWarnings ((<=>@#@$$) arg0123456789876543210) where+ suppressUnusedWarnings = snd (((,) (:<=>@#@$$###)) ())+ data (<=>@#@$$) (arg0123456789876543210 :: a0123456789876543210) :: (~>) a0123456789876543210 Ordering+ where+ (:<=>@#@$$###) :: forall arg0123456789876543210+ arg0123456789876543210+ arg. SameKind (Apply ((<=>@#@$$) arg0123456789876543210) arg) ((<=>@#@$$$) arg0123456789876543210 arg) =>+ (<=>@#@$$) arg0123456789876543210 arg0123456789876543210+ type instance Apply ((<=>@#@$$) arg0123456789876543210) arg0123456789876543210 = (<=>) arg0123456789876543210 arg0123456789876543210+ infix 4 <=>@#@$$+ instance SuppressUnusedWarnings (<=>@#@$) where+ suppressUnusedWarnings = snd (((,) (:<=>@#@$###)) ())+ data (<=>@#@$) :: forall a0123456789876543210.+ (~>) a0123456789876543210 ((~>) a0123456789876543210 Ordering)+ where+ (:<=>@#@$###) :: forall arg0123456789876543210+ arg. SameKind (Apply (<=>@#@$) arg) ((<=>@#@$$) arg) =>+ (<=>@#@$) arg0123456789876543210+ type instance Apply (<=>@#@$) arg0123456789876543210 = (<=>@#@$$) arg0123456789876543210+ infix 4 <=>@#@$+ type family TFHelper_0123456789876543210 (a :: a) (a :: a) :: Ordering where+ TFHelper_0123456789876543210 a_0123456789876543210 a_0123456789876543210 = Apply (Apply MycompareSym0 a_0123456789876543210) a_0123456789876543210+ type TFHelper_0123456789876543210Sym2 (a0123456789876543210 :: a0123456789876543210) (a0123456789876543210 :: a0123456789876543210) =+ TFHelper_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (TFHelper_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) TFHelper_0123456789876543210Sym1KindInference) ())+ data TFHelper_0123456789876543210Sym1 (a0123456789876543210 :: a0123456789876543210) :: (~>) a0123456789876543210 Ordering+ where+ TFHelper_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (TFHelper_0123456789876543210Sym1 a0123456789876543210) arg) (TFHelper_0123456789876543210Sym2 a0123456789876543210 arg) =>+ TFHelper_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (TFHelper_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = TFHelper_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings TFHelper_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) TFHelper_0123456789876543210Sym0KindInference) ())+ data TFHelper_0123456789876543210Sym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 ((~>) a0123456789876543210 Ordering)+ where+ TFHelper_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply TFHelper_0123456789876543210Sym0 arg) (TFHelper_0123456789876543210Sym1 arg) =>+ TFHelper_0123456789876543210Sym0 a0123456789876543210+ type instance Apply TFHelper_0123456789876543210Sym0 a0123456789876543210 = TFHelper_0123456789876543210Sym1 a0123456789876543210+ class PMyOrd (a :: GHC.Types.Type) where+ type Mycompare (arg :: a) (arg :: a) :: Ordering+ type (<=>) (arg :: a) (arg :: a) :: Ordering+ type (<=>) a a = Apply (Apply TFHelper_0123456789876543210Sym0 a) a+ type family Mycompare_0123456789876543210 (a :: Nat) (a :: Nat) :: Ordering where+ Mycompare_0123456789876543210 'Zero 'Zero = EQSym0+ Mycompare_0123456789876543210 'Zero ( 'Succ _) = LTSym0+ Mycompare_0123456789876543210 ( 'Succ _) 'Zero = GTSym0+ Mycompare_0123456789876543210 ( 'Succ n) ( 'Succ m) = Apply (Apply MycompareSym0 m) n+ type Mycompare_0123456789876543210Sym2 (a0123456789876543210 :: Nat) (a0123456789876543210 :: Nat) =+ Mycompare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Mycompare_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Mycompare_0123456789876543210Sym1KindInference) ())+ data Mycompare_0123456789876543210Sym1 (a0123456789876543210 :: Nat) :: (~>) Nat Ordering+ where+ Mycompare_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Mycompare_0123456789876543210Sym1 a0123456789876543210) arg) (Mycompare_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Mycompare_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Mycompare_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = Mycompare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Mycompare_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Mycompare_0123456789876543210Sym0KindInference) ())+ data Mycompare_0123456789876543210Sym0 :: (~>) Nat ((~>) Nat Ordering)+ where+ Mycompare_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Mycompare_0123456789876543210Sym0 arg) (Mycompare_0123456789876543210Sym1 arg) =>+ Mycompare_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Mycompare_0123456789876543210Sym0 a0123456789876543210 = Mycompare_0123456789876543210Sym1 a0123456789876543210+ instance PMyOrd Nat where+ type Mycompare a a = Apply (Apply Mycompare_0123456789876543210Sym0 a) a+ type family Mycompare_0123456789876543210 (a :: ()) (a :: ()) :: Ordering where+ Mycompare_0123456789876543210 _ a_0123456789876543210 = Apply (Apply ConstSym0 EQSym0) a_0123456789876543210+ type Mycompare_0123456789876543210Sym2 (a0123456789876543210 :: ()) (a0123456789876543210 :: ()) =+ Mycompare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Mycompare_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Mycompare_0123456789876543210Sym1KindInference) ())+ data Mycompare_0123456789876543210Sym1 (a0123456789876543210 :: ()) :: (~>) () Ordering+ where+ Mycompare_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Mycompare_0123456789876543210Sym1 a0123456789876543210) arg) (Mycompare_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Mycompare_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Mycompare_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = Mycompare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Mycompare_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Mycompare_0123456789876543210Sym0KindInference) ())+ data Mycompare_0123456789876543210Sym0 :: (~>) () ((~>) () Ordering)+ where+ Mycompare_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Mycompare_0123456789876543210Sym0 arg) (Mycompare_0123456789876543210Sym1 arg) =>+ Mycompare_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Mycompare_0123456789876543210Sym0 a0123456789876543210 = Mycompare_0123456789876543210Sym1 a0123456789876543210+ instance PMyOrd () where+ type Mycompare a a = Apply (Apply Mycompare_0123456789876543210Sym0 a) a+ type family Mycompare_0123456789876543210 (a :: Foo) (a :: Foo) :: Ordering where+ Mycompare_0123456789876543210 a_0123456789876543210 a_0123456789876543210 = Apply (Apply FooCompareSym0 a_0123456789876543210) a_0123456789876543210+ type Mycompare_0123456789876543210Sym2 (a0123456789876543210 :: Foo) (a0123456789876543210 :: Foo) =+ Mycompare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Mycompare_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Mycompare_0123456789876543210Sym1KindInference) ())+ data Mycompare_0123456789876543210Sym1 (a0123456789876543210 :: Foo) :: (~>) Foo Ordering+ where+ Mycompare_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Mycompare_0123456789876543210Sym1 a0123456789876543210) arg) (Mycompare_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Mycompare_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Mycompare_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = Mycompare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Mycompare_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Mycompare_0123456789876543210Sym0KindInference) ())+ data Mycompare_0123456789876543210Sym0 :: (~>) Foo ((~>) Foo Ordering)+ where+ Mycompare_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Mycompare_0123456789876543210Sym0 arg) (Mycompare_0123456789876543210Sym1 arg) =>+ Mycompare_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Mycompare_0123456789876543210Sym0 a0123456789876543210 = Mycompare_0123456789876543210Sym1 a0123456789876543210+ instance PMyOrd Foo where+ type Mycompare a a = Apply (Apply Mycompare_0123456789876543210Sym0 a) a+ type family TFHelper_0123456789876543210 (a :: Foo2) (a :: Foo2) :: Bool where+ TFHelper_0123456789876543210 F F = TrueSym0+ TFHelper_0123456789876543210 G G = TrueSym0+ TFHelper_0123456789876543210 F G = FalseSym0+ TFHelper_0123456789876543210 G F = FalseSym0+ type TFHelper_0123456789876543210Sym2 (a0123456789876543210 :: Foo2) (a0123456789876543210 :: Foo2) =+ TFHelper_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (TFHelper_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) TFHelper_0123456789876543210Sym1KindInference) ())+ data TFHelper_0123456789876543210Sym1 (a0123456789876543210 :: Foo2) :: (~>) Foo2 Bool+ where+ TFHelper_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (TFHelper_0123456789876543210Sym1 a0123456789876543210) arg) (TFHelper_0123456789876543210Sym2 a0123456789876543210 arg) =>+ TFHelper_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (TFHelper_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = TFHelper_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings TFHelper_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) TFHelper_0123456789876543210Sym0KindInference) ())+ data TFHelper_0123456789876543210Sym0 :: (~>) Foo2 ((~>) Foo2 Bool)+ where+ TFHelper_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply TFHelper_0123456789876543210Sym0 arg) (TFHelper_0123456789876543210Sym1 arg) =>+ TFHelper_0123456789876543210Sym0 a0123456789876543210+ type instance Apply TFHelper_0123456789876543210Sym0 a0123456789876543210 = TFHelper_0123456789876543210Sym1 a0123456789876543210+ instance PEq Foo2 where+ type (==) a a = Apply (Apply TFHelper_0123456789876543210Sym0 a) a+ infix 4 %<=>+ sFooCompare ::+ forall (t :: Foo) (t :: Foo).+ Sing t+ -> Sing t -> Sing (Apply (Apply FooCompareSym0 t) t :: Ordering)+ sConst ::+ forall a b (t :: a) (t :: b).+ Sing t -> Sing t -> Sing (Apply (Apply ConstSym0 t) t :: a)+ sFooCompare SA SA = SEQ+ sFooCompare SA SB = SLT+ sFooCompare SB SB = SGT+ sFooCompare SB SA = SEQ+ sConst (sX :: Sing x) _ = sX+ instance SingI (FooCompareSym0 :: (~>) Foo ((~>) Foo Ordering)) where+ sing = (singFun2 @FooCompareSym0) sFooCompare+ instance SingI d =>+ SingI (FooCompareSym1 (d :: Foo) :: (~>) Foo Ordering) where+ sing+ = (singFun1 @(FooCompareSym1 (d :: Foo))) (sFooCompare (sing @d))+ instance SingI (ConstSym0 :: (~>) a ((~>) b a)) where+ sing = (singFun2 @ConstSym0) sConst+ instance SingI d => SingI (ConstSym1 (d :: a) :: (~>) b a) where+ sing = (singFun1 @(ConstSym1 (d :: a))) (sConst (sing @d))+ data instance Sing :: Foo -> GHC.Types.Type+ where+ SA :: Sing A+ SB :: Sing B+ type SFoo = (Sing :: Foo -> GHC.Types.Type)+ instance SingKind Foo where+ type Demote Foo = Foo+ fromSing SA = A+ fromSing SB = B+ toSing A = SomeSing SA+ toSing B = SomeSing SB+ data instance Sing :: Foo2 -> GHC.Types.Type+ where+ SF :: Sing F+ SG :: Sing G+ type SFoo2 = (Sing :: Foo2 -> GHC.Types.Type)+ instance SingKind Foo2 where+ type Demote Foo2 = Foo2+ fromSing SF = F+ fromSing SG = G+ toSing F = SomeSing SF+ toSing G = SomeSing SG+ class SMyOrd a where+ sMycompare ::+ forall (t :: a) (t :: a).+ Sing t+ -> Sing t -> Sing (Apply (Apply MycompareSym0 t) t :: Ordering)+ (%<=>) ::+ forall (t :: a) (t :: a).+ Sing t -> Sing t -> Sing (Apply (Apply (<=>@#@$) t) t :: Ordering)+ default (%<=>) ::+ forall (t :: a) (t :: a).+ (Apply (Apply (<=>@#@$) t) t :: Ordering)+ ~ Apply (Apply TFHelper_0123456789876543210Sym0 t) t =>+ Sing t -> Sing t -> Sing (Apply (Apply (<=>@#@$) t) t :: Ordering)+ (%<=>)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @MycompareSym0) sMycompare))+ sA_0123456789876543210))+ sA_0123456789876543210+ instance SMyOrd Nat where+ sMycompare ::+ forall (t :: Nat) (t :: Nat).+ Sing t+ -> Sing t -> Sing (Apply (Apply MycompareSym0 t) t :: Ordering)+ sMycompare SZero SZero = SEQ+ sMycompare SZero (SSucc _) = SLT+ sMycompare (SSucc _) SZero = SGT+ sMycompare (SSucc (sN :: Sing n)) (SSucc (sM :: Sing m))+ = (applySing+ ((applySing ((singFun2 @MycompareSym0) sMycompare)) sM))+ sN+ instance SMyOrd () where+ sMycompare ::+ forall (t :: ()) (t :: ()).+ Sing t+ -> Sing t -> Sing (Apply (Apply MycompareSym0 t) t :: Ordering)+ sMycompare _ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing ((applySing ((singFun2 @ConstSym0) sConst)) SEQ))+ sA_0123456789876543210+ instance SMyOrd Foo where+ sMycompare ::+ forall (t :: Foo) (t :: Foo).+ Sing t+ -> Sing t -> Sing (Apply (Apply MycompareSym0 t) t :: Ordering)+ sMycompare+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @FooCompareSym0) sFooCompare))+ sA_0123456789876543210))+ sA_0123456789876543210+ instance SEq Foo2 where+ (%==) ::+ forall (a :: Foo2) (b :: Foo2). Sing a -> Sing b -> Sing ((==) a b)+ (%==) SF SF = STrue+ (%==) SG SG = STrue+ (%==) SF SG = SFalse+ (%==) SG SF = SFalse+ instance SingI A where+ sing = SA+ instance SingI B where+ sing = SB+ instance SingI F where+ sing = SF+ instance SingI G where+ sing = SG+ instance SMyOrd a =>+ SingI (MycompareSym0 :: (~>) a ((~>) a Ordering)) where+ sing = (singFun2 @MycompareSym0) sMycompare+ instance (SMyOrd a, SingI d) =>+ SingI (MycompareSym1 (d :: a) :: (~>) a Ordering) where+ sing = (singFun1 @(MycompareSym1 (d :: a))) (sMycompare (sing @d))+ instance SMyOrd a =>+ SingI ((<=>@#@$) :: (~>) a ((~>) a Ordering)) where+ sing = (singFun2 @(<=>@#@$)) (%<=>)+ instance (SMyOrd a, SingI d) =>+ SingI ((<=>@#@$$) (d :: a) :: (~>) a Ordering) where+ sing = (singFun1 @((<=>@#@$$) (d :: a))) ((%<=>) (sing @d))+Singletons/Classes.hs:(0,0)-(0,0): Splicing declarations+ promote+ [d| instance Ord Foo2 where+ F `compare` F = EQ+ F `compare` _ = LT+ _ `compare` _ = GT+ instance MyOrd Foo2 where+ F `mycompare` F = EQ+ F `mycompare` _ = LT+ _ `mycompare` _ = GT |]+ ======>+ instance MyOrd Foo2 where+ mycompare F F = EQ+ mycompare F _ = LT+ mycompare _ _ = GT+ instance Ord Foo2 where+ compare F F = EQ+ compare F _ = LT+ compare _ _ = GT+ type family Mycompare_0123456789876543210 (a :: Foo2) (a :: Foo2) :: Ordering where+ Mycompare_0123456789876543210 'F 'F = EQSym0+ Mycompare_0123456789876543210 'F _ = LTSym0+ Mycompare_0123456789876543210 _ _ = GTSym0+ type Mycompare_0123456789876543210Sym2 (a0123456789876543210 :: Foo2) (a0123456789876543210 :: Foo2) =+ Mycompare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Mycompare_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Mycompare_0123456789876543210Sym1KindInference) ())+ data Mycompare_0123456789876543210Sym1 (a0123456789876543210 :: Foo2) :: (~>) Foo2 Ordering+ where+ Mycompare_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Mycompare_0123456789876543210Sym1 a0123456789876543210) arg) (Mycompare_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Mycompare_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Mycompare_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = Mycompare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Mycompare_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Mycompare_0123456789876543210Sym0KindInference) ())+ data Mycompare_0123456789876543210Sym0 :: (~>) Foo2 ((~>) Foo2 Ordering)+ where+ Mycompare_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Mycompare_0123456789876543210Sym0 arg) (Mycompare_0123456789876543210Sym1 arg) =>+ Mycompare_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Mycompare_0123456789876543210Sym0 a0123456789876543210 = Mycompare_0123456789876543210Sym1 a0123456789876543210+ instance PMyOrd Foo2 where+ type Mycompare a a = Apply (Apply Mycompare_0123456789876543210Sym0 a) a+ type family Compare_0123456789876543210 (a :: Foo2) (a :: Foo2) :: Ordering where+ Compare_0123456789876543210 'F 'F = EQSym0+ Compare_0123456789876543210 'F _ = LTSym0+ Compare_0123456789876543210 _ _ = GTSym0+ type Compare_0123456789876543210Sym2 (a0123456789876543210 :: Foo2) (a0123456789876543210 :: Foo2) =+ Compare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Compare_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Compare_0123456789876543210Sym1KindInference) ())+ data Compare_0123456789876543210Sym1 (a0123456789876543210 :: Foo2) :: (~>) Foo2 Ordering+ where+ Compare_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Compare_0123456789876543210Sym1 a0123456789876543210) arg) (Compare_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Compare_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Compare_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = Compare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Compare_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Compare_0123456789876543210Sym0KindInference) ())+ data Compare_0123456789876543210Sym0 :: (~>) Foo2 ((~>) Foo2 Ordering)+ where+ Compare_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Compare_0123456789876543210Sym0 arg) (Compare_0123456789876543210Sym1 arg) =>+ Compare_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Compare_0123456789876543210Sym0 a0123456789876543210 = Compare_0123456789876543210Sym1 a0123456789876543210+ instance POrd Foo2 where+ type Compare a a = Apply (Apply Compare_0123456789876543210Sym0 a) a+Singletons/Classes.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| data Nat' = Zero' | Succ' Nat'+ + instance MyOrd Nat' where+ Zero' `mycompare` Zero' = EQ+ Zero' `mycompare` (Succ' _) = LT+ (Succ' _) `mycompare` Zero' = GT+ (Succ' n) `mycompare` (Succ' m) = m `mycompare` n |]+ ======>+ data Nat' = Zero' | Succ' Nat'+ instance MyOrd Nat' where+ mycompare Zero' Zero' = EQ+ mycompare Zero' (Succ' _) = LT+ mycompare (Succ' _) Zero' = GT+ mycompare (Succ' n) (Succ' m) = (m `mycompare` n)+ type Zero'Sym0 = Zero'+ type Succ'Sym1 (t0123456789876543210 :: Nat') =+ Succ' t0123456789876543210+ instance SuppressUnusedWarnings Succ'Sym0 where+ suppressUnusedWarnings = snd (((,) Succ'Sym0KindInference) ())+ data Succ'Sym0 :: (~>) Nat' Nat'+ where+ Succ'Sym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply Succ'Sym0 arg) (Succ'Sym1 arg) =>+ Succ'Sym0 t0123456789876543210+ type instance Apply Succ'Sym0 t0123456789876543210 = Succ' t0123456789876543210+ type family Mycompare_0123456789876543210 (a :: Nat') (a :: Nat') :: Ordering where+ Mycompare_0123456789876543210 Zero' Zero' = EQSym0+ Mycompare_0123456789876543210 Zero' (Succ' _) = LTSym0+ Mycompare_0123456789876543210 (Succ' _) Zero' = GTSym0+ Mycompare_0123456789876543210 (Succ' n) (Succ' m) = Apply (Apply MycompareSym0 m) n+ type Mycompare_0123456789876543210Sym2 (a0123456789876543210 :: Nat') (a0123456789876543210 :: Nat') =+ Mycompare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Mycompare_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Mycompare_0123456789876543210Sym1KindInference) ())+ data Mycompare_0123456789876543210Sym1 (a0123456789876543210 :: Nat') :: (~>) Nat' Ordering+ where+ Mycompare_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Mycompare_0123456789876543210Sym1 a0123456789876543210) arg) (Mycompare_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Mycompare_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Mycompare_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = Mycompare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Mycompare_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Mycompare_0123456789876543210Sym0KindInference) ())+ data Mycompare_0123456789876543210Sym0 :: (~>) Nat' ((~>) Nat' Ordering)+ where+ Mycompare_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Mycompare_0123456789876543210Sym0 arg) (Mycompare_0123456789876543210Sym1 arg) =>+ Mycompare_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Mycompare_0123456789876543210Sym0 a0123456789876543210 = Mycompare_0123456789876543210Sym1 a0123456789876543210+ instance PMyOrd Nat' where+ type Mycompare a a = Apply (Apply Mycompare_0123456789876543210Sym0 a) a+ data instance Sing :: Nat' -> GHC.Types.Type+ where+ SZero' :: Sing Zero'+ SSucc' :: forall (n :: Nat'). (Sing (n :: Nat')) -> Sing (Succ' n)+ type SNat' = (Sing :: Nat' -> GHC.Types.Type)+ instance SingKind Nat' where+ type Demote Nat' = Nat'+ fromSing SZero' = Zero'+ fromSing (SSucc' b) = Succ' (fromSing b)+ toSing Zero' = SomeSing SZero'+ toSing (Succ' (b :: Demote Nat'))+ = case toSing b :: SomeSing Nat' of {+ SomeSing c -> SomeSing (SSucc' c) }+ instance SMyOrd Nat' where+ sMycompare ::+ forall (t :: Nat') (t :: Nat').+ Sing t+ -> Sing t+ -> Sing (Apply (Apply (MycompareSym0 :: TyFun Nat' ((~>) Nat' Ordering)+ -> GHC.Types.Type) t) t)+ sMycompare SZero' SZero' = SEQ+ sMycompare SZero' (SSucc' _) = SLT+ sMycompare (SSucc' _) SZero' = SGT+ sMycompare (SSucc' (sN :: Sing n)) (SSucc' (sM :: Sing m))+ = (applySing+ ((applySing ((singFun2 @MycompareSym0) sMycompare)) sM))+ sN+ instance SingI Zero' where+ sing = SZero'+ instance SingI n => SingI (Succ' (n :: Nat')) where+ sing = SSucc' sing+ instance SingI (Succ'Sym0 :: (~>) Nat' Nat') where+ sing = (singFun1 @Succ'Sym0) SSucc'+ instance SingI (TyCon1 Succ' :: (~>) Nat' Nat') where+ sing = (singFun1 @(TyCon1 Succ')) SSucc'
− tests/compile-and-dump/Singletons/Classes2.ghc84.template
@@ -1,86 +0,0 @@-Singletons/Classes2.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| data NatFoo = ZeroFoo | SuccFoo NatFoo- - instance MyOrd NatFoo where- ZeroFoo `mycompare` ZeroFoo = EQ- ZeroFoo `mycompare` (SuccFoo _) = LT- (SuccFoo _) `mycompare` ZeroFoo = GT- (SuccFoo n) `mycompare` (SuccFoo m) = m `mycompare` n |]- ======>- data NatFoo = ZeroFoo | SuccFoo NatFoo- instance MyOrd NatFoo where- mycompare ZeroFoo ZeroFoo = EQ- mycompare ZeroFoo (SuccFoo _) = LT- mycompare (SuccFoo _) ZeroFoo = GT- mycompare (SuccFoo n) (SuccFoo m) = (m `mycompare` n)- type ZeroFooSym0 = ZeroFoo- type SuccFooSym1 (t :: NatFoo) = SuccFoo t- instance SuppressUnusedWarnings SuccFooSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) SuccFooSym0KindInference) GHC.Tuple.())- data SuccFooSym0 (l :: TyFun NatFoo NatFoo)- = forall arg. SameKind (Apply SuccFooSym0 arg) (SuccFooSym1 arg) =>- SuccFooSym0KindInference- type instance Apply SuccFooSym0 l = SuccFoo l- type family Mycompare_0123456789876543210 (a :: NatFoo) (a :: NatFoo) :: Ordering where- Mycompare_0123456789876543210 ZeroFoo ZeroFoo = EQSym0- Mycompare_0123456789876543210 ZeroFoo (SuccFoo _) = LTSym0- Mycompare_0123456789876543210 (SuccFoo _) ZeroFoo = GTSym0- Mycompare_0123456789876543210 (SuccFoo n) (SuccFoo m) = Apply (Apply MycompareSym0 m) n- type Mycompare_0123456789876543210Sym2 (t :: NatFoo) (t :: NatFoo) =- Mycompare_0123456789876543210 t t- instance SuppressUnusedWarnings Mycompare_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Mycompare_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Mycompare_0123456789876543210Sym1 (l :: NatFoo) (l :: TyFun NatFoo Ordering)- = forall arg. SameKind (Apply (Mycompare_0123456789876543210Sym1 l) arg) (Mycompare_0123456789876543210Sym2 l arg) =>- Mycompare_0123456789876543210Sym1KindInference- type instance Apply (Mycompare_0123456789876543210Sym1 l) l = Mycompare_0123456789876543210 l l- instance SuppressUnusedWarnings Mycompare_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Mycompare_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Mycompare_0123456789876543210Sym0 (l :: TyFun NatFoo (TyFun NatFoo Ordering- -> GHC.Types.Type))- = forall arg. SameKind (Apply Mycompare_0123456789876543210Sym0 arg) (Mycompare_0123456789876543210Sym1 arg) =>- Mycompare_0123456789876543210Sym0KindInference- type instance Apply Mycompare_0123456789876543210Sym0 l = Mycompare_0123456789876543210Sym1 l- instance PMyOrd NatFoo where- type Mycompare a a = Apply (Apply Mycompare_0123456789876543210Sym0 a) a- data instance Sing (z :: NatFoo)- where- SZeroFoo :: Sing ZeroFoo- SSuccFoo :: forall (n :: NatFoo).- (Sing (n :: NatFoo)) -> Sing (SuccFoo n)- type SNatFoo = (Sing :: NatFoo -> GHC.Types.Type)- instance SingKind NatFoo where- type Demote NatFoo = NatFoo- fromSing SZeroFoo = ZeroFoo- fromSing (SSuccFoo b) = SuccFoo (fromSing b)- toSing ZeroFoo = SomeSing SZeroFoo- toSing (SuccFoo (b :: Demote NatFoo))- = case toSing b :: SomeSing NatFoo of {- SomeSing c -> SomeSing (SSuccFoo c) }- instance SMyOrd NatFoo where- sMycompare ::- forall (t1 :: NatFoo) (t2 :: NatFoo).- Sing t1- -> Sing t2- -> Sing (Apply (Apply (MycompareSym0 :: TyFun NatFoo (TyFun NatFoo Ordering- -> GHC.Types.Type)- -> GHC.Types.Type) t1) t2)- sMycompare SZeroFoo SZeroFoo = SEQ- sMycompare SZeroFoo (SSuccFoo _) = SLT- sMycompare (SSuccFoo _) SZeroFoo = SGT- sMycompare (SSuccFoo (sN :: Sing n)) (SSuccFoo (sM :: Sing m))- = (applySing- ((applySing ((singFun2 @MycompareSym0) sMycompare)) sM))- sN- instance SingI ZeroFoo where- sing = SZeroFoo- instance SingI n => SingI (SuccFoo (n :: NatFoo)) where- sing = SSuccFoo sing
+ tests/compile-and-dump/Singletons/Classes2.ghc86.template view
@@ -0,0 +1,91 @@+Singletons/Classes2.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| data NatFoo = ZeroFoo | SuccFoo NatFoo+ + instance MyOrd NatFoo where+ ZeroFoo `mycompare` ZeroFoo = EQ+ ZeroFoo `mycompare` (SuccFoo _) = LT+ (SuccFoo _) `mycompare` ZeroFoo = GT+ (SuccFoo n) `mycompare` (SuccFoo m) = m `mycompare` n |]+ ======>+ data NatFoo = ZeroFoo | SuccFoo NatFoo+ instance MyOrd NatFoo where+ mycompare ZeroFoo ZeroFoo = EQ+ mycompare ZeroFoo (SuccFoo _) = LT+ mycompare (SuccFoo _) ZeroFoo = GT+ mycompare (SuccFoo n) (SuccFoo m) = (m `mycompare` n)+ type ZeroFooSym0 = ZeroFoo+ type SuccFooSym1 (t0123456789876543210 :: NatFoo) =+ SuccFoo t0123456789876543210+ instance SuppressUnusedWarnings SuccFooSym0 where+ suppressUnusedWarnings = snd (((,) SuccFooSym0KindInference) ())+ data SuccFooSym0 :: (~>) NatFoo NatFoo+ where+ SuccFooSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply SuccFooSym0 arg) (SuccFooSym1 arg) =>+ SuccFooSym0 t0123456789876543210+ type instance Apply SuccFooSym0 t0123456789876543210 = SuccFoo t0123456789876543210+ type family Mycompare_0123456789876543210 (a :: NatFoo) (a :: NatFoo) :: Ordering where+ Mycompare_0123456789876543210 ZeroFoo ZeroFoo = EQSym0+ Mycompare_0123456789876543210 ZeroFoo (SuccFoo _) = LTSym0+ Mycompare_0123456789876543210 (SuccFoo _) ZeroFoo = GTSym0+ Mycompare_0123456789876543210 (SuccFoo n) (SuccFoo m) = Apply (Apply MycompareSym0 m) n+ type Mycompare_0123456789876543210Sym2 (a0123456789876543210 :: NatFoo) (a0123456789876543210 :: NatFoo) =+ Mycompare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Mycompare_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Mycompare_0123456789876543210Sym1KindInference) ())+ data Mycompare_0123456789876543210Sym1 (a0123456789876543210 :: NatFoo) :: (~>) NatFoo Ordering+ where+ Mycompare_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Mycompare_0123456789876543210Sym1 a0123456789876543210) arg) (Mycompare_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Mycompare_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Mycompare_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = Mycompare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Mycompare_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Mycompare_0123456789876543210Sym0KindInference) ())+ data Mycompare_0123456789876543210Sym0 :: (~>) NatFoo ((~>) NatFoo Ordering)+ where+ Mycompare_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Mycompare_0123456789876543210Sym0 arg) (Mycompare_0123456789876543210Sym1 arg) =>+ Mycompare_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Mycompare_0123456789876543210Sym0 a0123456789876543210 = Mycompare_0123456789876543210Sym1 a0123456789876543210+ instance PMyOrd NatFoo where+ type Mycompare a a = Apply (Apply Mycompare_0123456789876543210Sym0 a) a+ data instance Sing :: NatFoo -> GHC.Types.Type+ where+ SZeroFoo :: Sing ZeroFoo+ SSuccFoo :: forall (n :: NatFoo).+ (Sing (n :: NatFoo)) -> Sing (SuccFoo n)+ type SNatFoo = (Sing :: NatFoo -> GHC.Types.Type)+ instance SingKind NatFoo where+ type Demote NatFoo = NatFoo+ fromSing SZeroFoo = ZeroFoo+ fromSing (SSuccFoo b) = SuccFoo (fromSing b)+ toSing ZeroFoo = SomeSing SZeroFoo+ toSing (SuccFoo (b :: Demote NatFoo))+ = case toSing b :: SomeSing NatFoo of {+ SomeSing c -> SomeSing (SSuccFoo c) }+ instance SMyOrd NatFoo where+ sMycompare ::+ forall (t1 :: NatFoo) (t2 :: NatFoo).+ Sing t1+ -> Sing t2+ -> Sing (Apply (Apply (MycompareSym0 :: TyFun NatFoo ((~>) NatFoo Ordering)+ -> GHC.Types.Type) t1) t2)+ sMycompare SZeroFoo SZeroFoo = SEQ+ sMycompare SZeroFoo (SSuccFoo _) = SLT+ sMycompare (SSuccFoo _) SZeroFoo = SGT+ sMycompare (SSuccFoo (sN :: Sing n)) (SSuccFoo (sM :: Sing m))+ = (applySing+ ((applySing ((singFun2 @MycompareSym0) sMycompare)) sM))+ sN+ instance SingI ZeroFoo where+ sing = SZeroFoo+ instance SingI n => SingI (SuccFoo (n :: NatFoo)) where+ sing = SSuccFoo sing+ instance SingI (SuccFooSym0 :: (~>) NatFoo NatFoo) where+ sing = (singFun1 @SuccFooSym0) SSuccFoo+ instance SingI (TyCon1 SuccFoo :: (~>) NatFoo NatFoo) where+ sing = (singFun1 @(TyCon1 SuccFoo)) SSuccFoo
− tests/compile-and-dump/Singletons/Contains.ghc84.template
@@ -1,41 +0,0 @@-Singletons/Contains.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| contains :: Eq a => a -> [a] -> Bool- contains _ [] = False- contains elt (h : t) = (elt == h) || (contains elt t) |]- ======>- contains :: Eq a => a -> [a] -> Bool- contains _ GHC.Types.[] = False- contains elt (h GHC.Types.: t) = ((elt == h) || ((contains elt) t))- type ContainsSym2 (t :: a0123456789876543210) (t :: [a0123456789876543210]) =- Contains t t- instance SuppressUnusedWarnings ContainsSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) ContainsSym1KindInference) GHC.Tuple.())- data ContainsSym1 (l :: a0123456789876543210) (l :: TyFun [a0123456789876543210] Bool)- = forall arg. SameKind (Apply (ContainsSym1 l) arg) (ContainsSym2 l arg) =>- ContainsSym1KindInference- type instance Apply (ContainsSym1 l) l = Contains l l- instance SuppressUnusedWarnings ContainsSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) ContainsSym0KindInference) GHC.Tuple.())- data ContainsSym0 (l :: TyFun a0123456789876543210 (TyFun [a0123456789876543210] Bool- -> GHC.Types.Type))- = forall arg. SameKind (Apply ContainsSym0 arg) (ContainsSym1 arg) =>- ContainsSym0KindInference- type instance Apply ContainsSym0 l = ContainsSym1 l- type family Contains (a :: a) (a :: [a]) :: Bool where- Contains _ '[] = FalseSym0- Contains elt ((:) h t) = Apply (Apply (||@#@$) (Apply (Apply (==@#@$) elt) h)) (Apply (Apply ContainsSym0 elt) t)- sContains ::- forall (t :: a) (t :: [a]).- SEq a =>- Sing t -> Sing t -> Sing (Apply (Apply ContainsSym0 t) t :: Bool)- sContains _ SNil = SFalse- sContains (sElt :: Sing elt) (SCons (sH :: Sing h) (sT :: Sing t))- = (applySing- ((applySing ((singFun2 @(||@#@$)) (%||)))- ((applySing ((applySing ((singFun2 @(==@#@$)) (%==))) sElt)) sH)))- ((applySing- ((applySing ((singFun2 @ContainsSym0) sContains)) sElt))- sT)
+ tests/compile-and-dump/Singletons/Contains.ghc86.template view
@@ -0,0 +1,50 @@+Singletons/Contains.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| contains :: Eq a => a -> [a] -> Bool+ contains _ [] = False+ contains elt (h : t) = (elt == h) || (contains elt t) |]+ ======>+ contains :: Eq a => a -> [a] -> Bool+ contains _ [] = False+ contains elt (h : t) = ((elt == h) || (contains elt) t)+ type ContainsSym2 (a0123456789876543210 :: a0123456789876543210) (a0123456789876543210 :: [a0123456789876543210]) =+ Contains a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ContainsSym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) ContainsSym1KindInference) ())+ data ContainsSym1 (a0123456789876543210 :: a0123456789876543210) :: (~>) [a0123456789876543210] Bool+ where+ ContainsSym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ContainsSym1 a0123456789876543210) arg) (ContainsSym2 a0123456789876543210 arg) =>+ ContainsSym1 a0123456789876543210 a0123456789876543210+ type instance Apply (ContainsSym1 a0123456789876543210) a0123456789876543210 = Contains a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ContainsSym0 where+ suppressUnusedWarnings = snd (((,) ContainsSym0KindInference) ())+ data ContainsSym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 ((~>) [a0123456789876543210] Bool)+ where+ ContainsSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply ContainsSym0 arg) (ContainsSym1 arg) =>+ ContainsSym0 a0123456789876543210+ type instance Apply ContainsSym0 a0123456789876543210 = ContainsSym1 a0123456789876543210+ type family Contains (a :: a) (a :: [a]) :: Bool where+ Contains _ '[] = FalseSym0+ Contains elt ( '(:) h t) = Apply (Apply (||@#@$) (Apply (Apply (==@#@$) elt) h)) (Apply (Apply ContainsSym0 elt) t)+ sContains ::+ forall a (t :: a) (t :: [a]).+ SEq a =>+ Sing t -> Sing t -> Sing (Apply (Apply ContainsSym0 t) t :: Bool)+ sContains _ SNil = SFalse+ sContains (sElt :: Sing elt) (SCons (sH :: Sing h) (sT :: Sing t))+ = (applySing+ ((applySing ((singFun2 @(||@#@$)) (%||)))+ ((applySing ((applySing ((singFun2 @(==@#@$)) (%==))) sElt)) sH)))+ ((applySing+ ((applySing ((singFun2 @ContainsSym0) sContains)) sElt))+ sT)+ instance SEq a =>+ SingI (ContainsSym0 :: (~>) a ((~>) [a] Bool)) where+ sing = (singFun2 @ContainsSym0) sContains+ instance (SEq a, SingI d) =>+ SingI (ContainsSym1 (d :: a) :: (~>) [a] Bool) where+ sing = (singFun1 @(ContainsSym1 (d :: a))) (sContains (sing @d))
− tests/compile-and-dump/Singletons/DataValues.ghc84.template
@@ -1,187 +0,0 @@-Singletons/DataValues.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| pr = Pair (Succ Zero) ([Zero])- complex = Pair (Pair (Just Zero) Zero) False- tuple = (False, Just Zero, True)- aList = [Zero, Succ Zero, Succ (Succ Zero)]- - data Pair a b- = Pair a b- deriving Show |]- ======>- data Pair a b- = Pair a b- deriving Show- pr = (Pair (Succ Zero)) [Zero]- complex = (Pair ((Pair (Just Zero)) Zero)) False- tuple = (False, Just Zero, True)- aList = [Zero, Succ Zero, Succ (Succ Zero)]- type PairSym2 (t :: a0123456789876543210) (t :: b0123456789876543210) =- Pair t t- instance SuppressUnusedWarnings PairSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) PairSym1KindInference) GHC.Tuple.())- data PairSym1 (l :: a0123456789876543210) (l :: TyFun b0123456789876543210 (Pair a0123456789876543210 b0123456789876543210))- = forall arg. SameKind (Apply (PairSym1 l) arg) (PairSym2 l arg) =>- PairSym1KindInference- type instance Apply (PairSym1 l) l = Pair l l- instance SuppressUnusedWarnings PairSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) PairSym0KindInference) GHC.Tuple.())- data PairSym0 (l :: TyFun a0123456789876543210 (TyFun b0123456789876543210 (Pair a0123456789876543210 b0123456789876543210)- -> GHC.Types.Type))- = forall arg. SameKind (Apply PairSym0 arg) (PairSym1 arg) =>- PairSym0KindInference- type instance Apply PairSym0 l = PairSym1 l- type AListSym0 = AList- type TupleSym0 = Tuple- type ComplexSym0 = Complex- type PrSym0 = Pr- type family AList where- AList = Apply (Apply (:@#@$) ZeroSym0) (Apply (Apply (:@#@$) (Apply SuccSym0 ZeroSym0)) (Apply (Apply (:@#@$) (Apply SuccSym0 (Apply SuccSym0 ZeroSym0))) '[]))- type family Tuple where- Tuple = Apply (Apply (Apply Tuple3Sym0 FalseSym0) (Apply JustSym0 ZeroSym0)) TrueSym0- type family Complex where- Complex = Apply (Apply PairSym0 (Apply (Apply PairSym0 (Apply JustSym0 ZeroSym0)) ZeroSym0)) FalseSym0- type family Pr where- Pr = Apply (Apply PairSym0 (Apply SuccSym0 ZeroSym0)) (Apply (Apply (:@#@$) ZeroSym0) '[])- type family ShowsPrec_0123456789876543210 (a :: GHC.Types.Nat) (a :: Pair a b) (a :: Symbol) :: Symbol where- ShowsPrec_0123456789876543210 p_0123456789876543210 (Pair arg_0123456789876543210 arg_0123456789876543210) a_0123456789876543210 = Apply (Apply (Apply ShowParenSym0 (Apply (Apply (>@#@$) p_0123456789876543210) (FromInteger 10))) (Apply (Apply (.@#@$) (Apply ShowStringSym0 "Pair ")) (Apply (Apply (.@#@$) (Apply (Apply ShowsPrecSym0 (FromInteger 11)) arg_0123456789876543210)) (Apply (Apply (.@#@$) ShowSpaceSym0) (Apply (Apply ShowsPrecSym0 (FromInteger 11)) arg_0123456789876543210))))) a_0123456789876543210- type ShowsPrec_0123456789876543210Sym3 (t :: GHC.Types.Nat) (t :: Pair a0123456789876543210 b0123456789876543210) (t :: Symbol) =- ShowsPrec_0123456789876543210 t t t- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym2 (l :: GHC.Types.Nat) (l :: Pair a0123456789876543210 b0123456789876543210) (l :: TyFun Symbol Symbol)- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 l l) arg) (ShowsPrec_0123456789876543210Sym3 l l arg) =>- ShowsPrec_0123456789876543210Sym2KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym2 l l) l = ShowsPrec_0123456789876543210 l l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym1 (l :: GHC.Types.Nat) (l :: TyFun (Pair a0123456789876543210 b0123456789876543210) (TyFun Symbol Symbol- -> GHC.Types.Type))- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 l) arg) (ShowsPrec_0123456789876543210Sym2 l arg) =>- ShowsPrec_0123456789876543210Sym1KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym1 l) l = ShowsPrec_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym0 (l :: TyFun GHC.Types.Nat (TyFun (Pair a0123456789876543210 b0123456789876543210) (TyFun Symbol Symbol- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>- ShowsPrec_0123456789876543210Sym0KindInference- type instance Apply ShowsPrec_0123456789876543210Sym0 l = ShowsPrec_0123456789876543210Sym1 l- instance PShow (Pair a b) where- type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a- sAList :: Sing AListSym0- sTuple :: Sing TupleSym0- sComplex :: Sing ComplexSym0- sPr :: Sing PrSym0- sAList- = (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SZero))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing ((singFun1 @SuccSym0) SSucc))- ((applySing ((singFun1 @SuccSym0) SSucc)) SZero))))- SNil))- sTuple- = (applySing- ((applySing ((applySing ((singFun3 @Tuple3Sym0) STuple3)) SFalse))- ((applySing ((singFun1 @JustSym0) SJust)) SZero)))- STrue- sComplex- = (applySing- ((applySing ((singFun2 @PairSym0) SPair))- ((applySing- ((applySing ((singFun2 @PairSym0) SPair))- ((applySing ((singFun1 @JustSym0) SJust)) SZero)))- SZero)))- SFalse- sPr- = (applySing- ((applySing ((singFun2 @PairSym0) SPair))- ((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))- ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SZero)) SNil)- data instance Sing (z :: Pair a b)- where- SPair :: forall (n :: a) (n :: b).- (Sing (n :: a)) -> (Sing (n :: b)) -> Sing (Pair n n)- type SPair = (Sing :: Pair a b -> GHC.Types.Type)- instance (SingKind a, SingKind b) => SingKind (Pair a b) where- type Demote (Pair a b) = Pair (Demote a) (Demote b)- fromSing (SPair b b) = (Pair (fromSing b)) (fromSing b)- toSing (Pair (b :: Demote a) (b :: Demote b))- = case- (GHC.Tuple.(,) (toSing b :: SomeSing a)) (toSing b :: SomeSing b)- of {- GHC.Tuple.(,) (SomeSing c) (SomeSing c) -> SomeSing ((SPair c) c) }- instance (SShow a, SShow b) => SShow (Pair a b) where- sShowsPrec ::- forall (t1 :: GHC.Types.Nat) (t2 :: Pair a b) (t3 :: Symbol).- Sing t1- -> Sing t2- -> Sing t3- -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun GHC.Types.Nat (TyFun (Pair a b) (TyFun Symbol Symbol- -> GHC.Types.Type)- -> GHC.Types.Type)- -> GHC.Types.Type) t1) t2) t3)- sShowsPrec- (sP_0123456789876543210 :: Sing p_0123456789876543210)- (SPair (sArg_0123456789876543210 :: Sing arg_0123456789876543210)- (sArg_0123456789876543210 :: Sing arg_0123456789876543210))- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing- ((applySing ((singFun3 @ShowParenSym0) sShowParen))- ((applySing- ((applySing ((singFun2 @(>@#@$)) (%>))) sP_0123456789876543210))- (sFromInteger (sing :: Sing 10)))))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "Pair "))))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((applySing- ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))- (sFromInteger (sing :: Sing 11))))- sArg_0123456789876543210)))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((singFun1 @ShowSpaceSym0) sShowSpace)))- ((applySing- ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))- (sFromInteger (sing :: Sing 11))))- sArg_0123456789876543210))))))- sA_0123456789876543210- instance (Data.Singletons.ShowSing.ShowSing a,- Data.Singletons.ShowSing.ShowSing b) =>- Data.Singletons.ShowSing.ShowSing (Pair a b) where- Data.Singletons.ShowSing.showsSingPrec- p_0123456789876543210- (SPair arg_0123456789876543210 arg_0123456789876543210)- = (showParen (((>) p_0123456789876543210) 10))- (((.) (showString "SPair "))- (((.)- ((Data.Singletons.ShowSing.showsSingPrec 11)- arg_0123456789876543210))- (((.) GHC.Show.showSpace)- ((Data.Singletons.ShowSing.showsSingPrec 11)- arg_0123456789876543210))))- instance (Data.Singletons.ShowSing.ShowSing a,- Data.Singletons.ShowSing.ShowSing b) =>- Show (Sing (z :: Pair a b)) where- showsPrec = Data.Singletons.ShowSing.showsSingPrec- instance (SingI n, SingI n) => SingI (Pair (n :: a) (n :: b)) where- sing = (SPair sing) sing
+ tests/compile-and-dump/Singletons/DataValues.ghc86.template view
@@ -0,0 +1,186 @@+Singletons/DataValues.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| pr = Pair (Succ Zero) ([Zero])+ complex = Pair (Pair (Just Zero) Zero) False+ tuple = (False, Just Zero, True)+ aList = [Zero, Succ Zero, Succ (Succ Zero)]+ + data Pair a b+ = Pair a b+ deriving Show |]+ ======>+ data Pair a b+ = Pair a b+ deriving Show+ pr = (Pair (Succ Zero)) [Zero]+ complex = (Pair ((Pair (Just Zero)) Zero)) False+ tuple = (False, Just Zero, True)+ aList = [Zero, Succ Zero, Succ (Succ Zero)]+ type PairSym2 (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: b0123456789876543210) =+ Pair t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (PairSym1 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) PairSym1KindInference) ())+ data PairSym1 (t0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210.+ (~>) b0123456789876543210 (Pair a0123456789876543210 b0123456789876543210)+ where+ PairSym1KindInference :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (PairSym1 t0123456789876543210) arg) (PairSym2 t0123456789876543210 arg) =>+ PairSym1 t0123456789876543210 t0123456789876543210+ type instance Apply (PairSym1 t0123456789876543210) t0123456789876543210 = Pair t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings PairSym0 where+ suppressUnusedWarnings = snd (((,) PairSym0KindInference) ())+ data PairSym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) a0123456789876543210 ((~>) b0123456789876543210 (Pair a0123456789876543210 b0123456789876543210))+ where+ PairSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply PairSym0 arg) (PairSym1 arg) =>+ PairSym0 t0123456789876543210+ type instance Apply PairSym0 t0123456789876543210 = PairSym1 t0123456789876543210+ type AListSym0 = AList+ type TupleSym0 = Tuple+ type ComplexSym0 = Complex+ type PrSym0 = Pr+ type family AList where+ AList = Apply (Apply (:@#@$) ZeroSym0) (Apply (Apply (:@#@$) (Apply SuccSym0 ZeroSym0)) (Apply (Apply (:@#@$) (Apply SuccSym0 (Apply SuccSym0 ZeroSym0))) '[]))+ type family Tuple where+ Tuple = Apply (Apply (Apply Tuple3Sym0 FalseSym0) (Apply JustSym0 ZeroSym0)) TrueSym0+ type family Complex where+ Complex = Apply (Apply PairSym0 (Apply (Apply PairSym0 (Apply JustSym0 ZeroSym0)) ZeroSym0)) FalseSym0+ type family Pr where+ Pr = Apply (Apply PairSym0 (Apply SuccSym0 ZeroSym0)) (Apply (Apply (:@#@$) ZeroSym0) '[])+ type family ShowsPrec_0123456789876543210 (a :: GHC.Types.Nat) (a :: Pair a b) (a :: Symbol) :: Symbol where+ ShowsPrec_0123456789876543210 p_0123456789876543210 (Pair arg_0123456789876543210 arg_0123456789876543210) a_0123456789876543210 = Apply (Apply (Apply ShowParenSym0 (Apply (Apply (>@#@$) p_0123456789876543210) (FromInteger 10))) (Apply (Apply (.@#@$) (Apply ShowStringSym0 "Pair ")) (Apply (Apply (.@#@$) (Apply (Apply ShowsPrecSym0 (FromInteger 11)) arg_0123456789876543210)) (Apply (Apply (.@#@$) ShowSpaceSym0) (Apply (Apply ShowsPrecSym0 (FromInteger 11)) arg_0123456789876543210))))) a_0123456789876543210+ type ShowsPrec_0123456789876543210Sym3 (a0123456789876543210 :: GHC.Types.Nat) (a0123456789876543210 :: Pair a0123456789876543210 b0123456789876543210) (a0123456789876543210 :: Symbol) =+ ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym2KindInference) ())+ data ShowsPrec_0123456789876543210Sym2 (a0123456789876543210 :: GHC.Types.Nat) (a0123456789876543210 :: Pair a0123456789876543210 b0123456789876543210) :: (~>) Symbol Symbol+ where+ ShowsPrec_0123456789876543210Sym2KindInference :: forall a0123456789876543210+ a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym3 a0123456789876543210 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym1KindInference) ())+ data ShowsPrec_0123456789876543210Sym1 (a0123456789876543210 :: GHC.Types.Nat) :: forall a0123456789876543210+ b0123456789876543210.+ (~>) (Pair a0123456789876543210 b0123456789876543210) ((~>) Symbol Symbol)+ where+ ShowsPrec_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym0KindInference) ())+ data ShowsPrec_0123456789876543210Sym0 :: forall a0123456789876543210+ b0123456789876543210.+ (~>) GHC.Types.Nat ((~>) (Pair a0123456789876543210 b0123456789876543210) ((~>) Symbol Symbol))+ where+ ShowsPrec_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>+ ShowsPrec_0123456789876543210Sym0 a0123456789876543210+ type instance Apply ShowsPrec_0123456789876543210Sym0 a0123456789876543210 = ShowsPrec_0123456789876543210Sym1 a0123456789876543210+ instance PShow (Pair a b) where+ type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a+ sAList :: Sing AListSym0+ sTuple :: Sing TupleSym0+ sComplex :: Sing ComplexSym0+ sPr :: Sing PrSym0+ sAList+ = (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SZero))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing ((singFun1 @SuccSym0) SSucc))+ ((applySing ((singFun1 @SuccSym0) SSucc)) SZero))))+ SNil))+ sTuple+ = (applySing+ ((applySing ((applySing ((singFun3 @Tuple3Sym0) STuple3)) SFalse))+ ((applySing ((singFun1 @JustSym0) SJust)) SZero)))+ STrue+ sComplex+ = (applySing+ ((applySing ((singFun2 @PairSym0) SPair))+ ((applySing+ ((applySing ((singFun2 @PairSym0) SPair))+ ((applySing ((singFun1 @JustSym0) SJust)) SZero)))+ SZero)))+ SFalse+ sPr+ = (applySing+ ((applySing ((singFun2 @PairSym0) SPair))+ ((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))+ ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SZero)) SNil)+ data instance Sing :: Pair a b -> GHC.Types.Type+ where+ SPair :: forall a b (n :: a) (n :: b).+ (Sing (n :: a)) -> (Sing (n :: b)) -> Sing (Pair n n)+ type SPair = (Sing :: Pair a b -> GHC.Types.Type)+ instance (SingKind a, SingKind b) => SingKind (Pair a b) where+ type Demote (Pair a b) = Pair (Demote a) (Demote b)+ fromSing (SPair b b) = (Pair (fromSing b)) (fromSing b)+ toSing (Pair (b :: Demote a) (b :: Demote b))+ = case ((,) (toSing b :: SomeSing a)) (toSing b :: SomeSing b) of {+ (,) (SomeSing c) (SomeSing c) -> SomeSing ((SPair c) c) }+ instance (SShow a, SShow b) => SShow (Pair a b) where+ sShowsPrec ::+ forall (t1 :: GHC.Types.Nat) (t2 :: Pair a b) (t3 :: Symbol).+ Sing t1+ -> Sing t2+ -> Sing t3+ -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun GHC.Types.Nat ((~>) (Pair a b) ((~>) Symbol Symbol))+ -> GHC.Types.Type) t1) t2) t3)+ sShowsPrec+ (sP_0123456789876543210 :: Sing p_0123456789876543210)+ (SPair (sArg_0123456789876543210 :: Sing arg_0123456789876543210)+ (sArg_0123456789876543210 :: Sing arg_0123456789876543210))+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing+ ((applySing ((singFun3 @ShowParenSym0) sShowParen))+ ((applySing+ ((applySing ((singFun2 @(>@#@$)) (%>))) sP_0123456789876543210))+ (sFromInteger (sing :: Sing 10)))))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "Pair "))))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((applySing+ ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))+ (sFromInteger (sing :: Sing 11))))+ sArg_0123456789876543210)))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((singFun1 @ShowSpaceSym0) sShowSpace)))+ ((applySing+ ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))+ (sFromInteger (sing :: Sing 11))))+ sArg_0123456789876543210))))))+ sA_0123456789876543210+ deriving instance (Data.Singletons.ShowSing.ShowSing a,+ Data.Singletons.ShowSing.ShowSing b) =>+ Show (Sing (z :: Pair a b))+ instance (SingI n, SingI n) => SingI (Pair (n :: a) (n :: b)) where+ sing = (SPair sing) sing+ instance SingI (PairSym0 :: (~>) a ((~>) b (Pair a b))) where+ sing = (singFun2 @PairSym0) SPair+ instance SingI (TyCon2 Pair :: (~>) a ((~>) b (Pair a b))) where+ sing = (singFun2 @(TyCon2 Pair)) SPair+ instance SingI d =>+ SingI (PairSym1 (d :: a) :: (~>) b (Pair a b)) where+ sing = (singFun1 @(PairSym1 (d :: a))) (SPair (sing @d))+ instance SingI d =>+ SingI (TyCon1 (Pair (d :: a)) :: (~>) b (Pair a b)) where+ sing = (singFun1 @(TyCon1 (Pair (d :: a)))) (SPair (sing @d))
− tests/compile-and-dump/Singletons/Empty.ghc84.template
@@ -1,10 +0,0 @@-Singletons/Empty.hs:(0,0)-(0,0): Splicing declarations- singletons [d| data Empty |]- ======>- data Empty- data instance Sing (z :: Empty)- type SEmpty = (Sing :: Empty -> GHC.Types.Type)- instance SingKind Empty where- type Demote Empty = Empty- fromSing x = case x of- toSing x = SomeSing (case x of)
+ tests/compile-and-dump/Singletons/Empty.ghc86.template view
@@ -0,0 +1,10 @@+Singletons/Empty.hs:(0,0)-(0,0): Splicing declarations+ singletons [d| data Empty |]+ ======>+ data Empty+ data instance Sing :: Empty -> GHC.Types.Type+ type SEmpty = (Sing :: Empty -> GHC.Types.Type)+ instance SingKind Empty where+ type Demote Empty = Empty+ fromSing x = case x of+ toSing x = SomeSing (case x of)
− tests/compile-and-dump/Singletons/EmptyShowDeriving.ghc84.template
@@ -1,74 +0,0 @@-Singletons/EmptyShowDeriving.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| data Foo- - deriving instance Show Foo |]- ======>- data Foo- deriving instance Show Foo- type family Case_0123456789876543210 v_0123456789876543210 a_0123456789876543210 t where- type family ShowsPrec_0123456789876543210 (a :: GHC.Types.Nat) (a :: Foo) (a :: GHC.Types.Symbol) :: GHC.Types.Symbol where- ShowsPrec_0123456789876543210 _ v_0123456789876543210 a_0123456789876543210 = Apply (Case_0123456789876543210 v_0123456789876543210 a_0123456789876543210 v_0123456789876543210) a_0123456789876543210- type ShowsPrec_0123456789876543210Sym3 (t :: GHC.Types.Nat) (t :: Foo) (t :: GHC.Types.Symbol) =- ShowsPrec_0123456789876543210 t t t- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym2 (l :: GHC.Types.Nat) (l :: Foo) (l :: TyFun GHC.Types.Symbol GHC.Types.Symbol)- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 l l) arg) (ShowsPrec_0123456789876543210Sym3 l l arg) =>- ShowsPrec_0123456789876543210Sym2KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym2 l l) l = ShowsPrec_0123456789876543210 l l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym1 (l :: GHC.Types.Nat) (l :: TyFun Foo (TyFun GHC.Types.Symbol GHC.Types.Symbol- -> GHC.Types.Type))- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 l) arg) (ShowsPrec_0123456789876543210Sym2 l arg) =>- ShowsPrec_0123456789876543210Sym1KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym1 l) l = ShowsPrec_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym0 (l :: TyFun GHC.Types.Nat (TyFun Foo (TyFun GHC.Types.Symbol GHC.Types.Symbol- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>- ShowsPrec_0123456789876543210Sym0KindInference- type instance Apply ShowsPrec_0123456789876543210Sym0 l = ShowsPrec_0123456789876543210Sym1 l- instance PShow Foo where- type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a- data instance Sing (z :: Foo)- type SFoo = (Sing :: Foo -> GHC.Types.Type)- instance SingKind Foo where- type Demote Foo = Foo- fromSing x = case x of- toSing x = SomeSing (case x of)- instance SShow Foo where- sShowsPrec ::- forall (t1 :: GHC.Types.Nat) (t2 :: Foo) (t3 :: GHC.Types.Symbol).- Sing t1- -> Sing t2- -> Sing t3- -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun GHC.Types.Nat (TyFun Foo (TyFun GHC.Types.Symbol GHC.Types.Symbol- -> GHC.Types.Type)- -> GHC.Types.Type)- -> GHC.Types.Type) t1) t2) t3)- sShowsPrec- _- (sV_0123456789876543210 :: Sing v_0123456789876543210)- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- (case sV_0123456789876543210 of ::- Sing (Case_0123456789876543210 v_0123456789876543210 a_0123456789876543210 v_0123456789876543210)))- sA_0123456789876543210- instance Data.Singletons.ShowSing.ShowSing Foo where- Data.Singletons.ShowSing.showsSingPrec _ v_0123456789876543210- = case v_0123456789876543210 of- instance Show (Sing (z :: Foo)) where- showsPrec = Data.Singletons.ShowSing.showsSingPrec
+ tests/compile-and-dump/Singletons/EmptyShowDeriving.ghc86.template view
@@ -0,0 +1,68 @@+Singletons/EmptyShowDeriving.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| data Foo+ + deriving instance Show Foo |]+ ======>+ data Foo+ deriving instance Show Foo+ type family Case_0123456789876543210 v_0123456789876543210 a_0123456789876543210 t where+ type family ShowsPrec_0123456789876543210 (a :: GHC.Types.Nat) (a :: Foo) (a :: GHC.Types.Symbol) :: GHC.Types.Symbol where+ ShowsPrec_0123456789876543210 _ v_0123456789876543210 a_0123456789876543210 = Apply (Case_0123456789876543210 v_0123456789876543210 a_0123456789876543210 v_0123456789876543210) a_0123456789876543210+ type ShowsPrec_0123456789876543210Sym3 (a0123456789876543210 :: GHC.Types.Nat) (a0123456789876543210 :: Foo) (a0123456789876543210 :: GHC.Types.Symbol) =+ ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym2KindInference) ())+ data ShowsPrec_0123456789876543210Sym2 (a0123456789876543210 :: GHC.Types.Nat) (a0123456789876543210 :: Foo) :: (~>) GHC.Types.Symbol GHC.Types.Symbol+ where+ ShowsPrec_0123456789876543210Sym2KindInference :: forall a0123456789876543210+ a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym3 a0123456789876543210 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym1KindInference) ())+ data ShowsPrec_0123456789876543210Sym1 (a0123456789876543210 :: GHC.Types.Nat) :: (~>) Foo ((~>) GHC.Types.Symbol GHC.Types.Symbol)+ where+ ShowsPrec_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym0KindInference) ())+ data ShowsPrec_0123456789876543210Sym0 :: (~>) GHC.Types.Nat ((~>) Foo ((~>) GHC.Types.Symbol GHC.Types.Symbol))+ where+ ShowsPrec_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>+ ShowsPrec_0123456789876543210Sym0 a0123456789876543210+ type instance Apply ShowsPrec_0123456789876543210Sym0 a0123456789876543210 = ShowsPrec_0123456789876543210Sym1 a0123456789876543210+ instance PShow Foo where+ type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a+ data instance Sing :: Foo -> GHC.Types.Type+ type SFoo = (Sing :: Foo -> GHC.Types.Type)+ instance SingKind Foo where+ type Demote Foo = Foo+ fromSing x = case x of+ toSing x = SomeSing (case x of)+ instance SShow Foo where+ sShowsPrec ::+ forall (t1 :: GHC.Types.Nat) (t2 :: Foo) (t3 :: GHC.Types.Symbol).+ Sing t1+ -> Sing t2+ -> Sing t3+ -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun GHC.Types.Nat ((~>) Foo ((~>) GHC.Types.Symbol GHC.Types.Symbol))+ -> GHC.Types.Type) t1) t2) t3)+ sShowsPrec+ _+ (sV_0123456789876543210 :: Sing v_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((case sV_0123456789876543210 of) ::+ Sing (Case_0123456789876543210 v_0123456789876543210 a_0123456789876543210 v_0123456789876543210)))+ sA_0123456789876543210+ deriving instance Show (Sing (z :: Foo))
− tests/compile-and-dump/Singletons/EnumDeriving.ghc84.template
@@ -1,199 +0,0 @@-Singletons/EnumDeriving.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| data Foo- = Bar | Baz | Bum- deriving Enum- data Quux = Q1 | Q2 |]- ======>- data Foo- = Bar | Baz | Bum- deriving Enum- data Quux = Q1 | Q2- type BarSym0 = Bar- type BazSym0 = Baz- type BumSym0 = Bum- type Q1Sym0 = Q1- type Q2Sym0 = Q2- type family Case_0123456789876543210 n t where- Case_0123456789876543210 n True = BumSym0- Case_0123456789876543210 n False = Apply ErrorSym0 "toEnum: bad argument"- type family Case_0123456789876543210 n t where- Case_0123456789876543210 n True = BazSym0- Case_0123456789876543210 n False = Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (Data.Singletons.Prelude.Num.FromInteger 2))- type family Case_0123456789876543210 n t where- Case_0123456789876543210 n True = BarSym0- Case_0123456789876543210 n False = Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (Data.Singletons.Prelude.Num.FromInteger 1))- type family ToEnum_0123456789876543210 (a :: GHC.Types.Nat) :: Foo where- ToEnum_0123456789876543210 n = Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (Data.Singletons.Prelude.Num.FromInteger 0))- type ToEnum_0123456789876543210Sym1 (t :: GHC.Types.Nat) =- ToEnum_0123456789876543210 t- instance SuppressUnusedWarnings ToEnum_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ToEnum_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data ToEnum_0123456789876543210Sym0 (l :: TyFun GHC.Types.Nat Foo)- = forall arg. SameKind (Apply ToEnum_0123456789876543210Sym0 arg) (ToEnum_0123456789876543210Sym1 arg) =>- ToEnum_0123456789876543210Sym0KindInference- type instance Apply ToEnum_0123456789876543210Sym0 l = ToEnum_0123456789876543210 l- type family FromEnum_0123456789876543210 (a :: Foo) :: GHC.Types.Nat where- FromEnum_0123456789876543210 Bar = Data.Singletons.Prelude.Num.FromInteger 0- FromEnum_0123456789876543210 Baz = Data.Singletons.Prelude.Num.FromInteger 1- FromEnum_0123456789876543210 Bum = Data.Singletons.Prelude.Num.FromInteger 2- type FromEnum_0123456789876543210Sym1 (t :: Foo) =- FromEnum_0123456789876543210 t- instance SuppressUnusedWarnings FromEnum_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) FromEnum_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data FromEnum_0123456789876543210Sym0 (l :: TyFun Foo GHC.Types.Nat)- = forall arg. SameKind (Apply FromEnum_0123456789876543210Sym0 arg) (FromEnum_0123456789876543210Sym1 arg) =>- FromEnum_0123456789876543210Sym0KindInference- type instance Apply FromEnum_0123456789876543210Sym0 l = FromEnum_0123456789876543210 l- instance PEnum Foo where- type ToEnum a = Apply ToEnum_0123456789876543210Sym0 a- type FromEnum a = Apply FromEnum_0123456789876543210Sym0 a- data instance Sing (z :: Foo)- where- SBar :: Sing Bar- SBaz :: Sing Baz- SBum :: Sing Bum- type SFoo = (Sing :: Foo -> GHC.Types.Type)- instance SingKind Foo where- type Demote Foo = Foo- fromSing SBar = Bar- fromSing SBaz = Baz- fromSing SBum = Bum- toSing Bar = SomeSing SBar- toSing Baz = SomeSing SBaz- toSing Bum = SomeSing SBum- data instance Sing (z :: Quux)- where- SQ1 :: Sing Q1- SQ2 :: Sing Q2- type SQuux = (Sing :: Quux -> GHC.Types.Type)- instance SingKind Quux where- type Demote Quux = Quux- fromSing SQ1 = Q1- fromSing SQ2 = Q2- toSing Q1 = SomeSing SQ1- toSing Q2 = SomeSing SQ2- instance SEnum Foo where- sToEnum ::- forall (t :: GHC.Types.Nat).- Sing t- -> Sing (Apply (Data.Singletons.Prelude.Enum.ToEnumSym0 :: TyFun GHC.Types.Nat Foo- -> GHC.Types.Type) t)- sFromEnum ::- forall (t :: Foo).- Sing t- -> Sing (Apply (Data.Singletons.Prelude.Enum.FromEnumSym0 :: TyFun Foo GHC.Types.Nat- -> GHC.Types.Type) t)- sToEnum (sN :: Sing n)- = case- (applySing ((applySing ((singFun2 @(==@#@$)) (%==))) sN))- (Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 0))- of- STrue -> SBar- SFalse- -> case- (applySing ((applySing ((singFun2 @(==@#@$)) (%==))) sN))- (Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 1))- of- STrue -> SBaz- SFalse- -> case- (applySing ((applySing ((singFun2 @(==@#@$)) (%==))) sN))- (Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 2))- of- STrue -> SBum- SFalse -> sError (sing :: Sing "toEnum: bad argument") ::- Sing (Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (Data.Singletons.Prelude.Num.FromInteger 2))) ::- Sing (Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (Data.Singletons.Prelude.Num.FromInteger 1))) ::- Sing (Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (Data.Singletons.Prelude.Num.FromInteger 0)))- sFromEnum SBar- = Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 0)- sFromEnum SBaz- = Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 1)- sFromEnum SBum- = Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 2)- instance SingI Bar where- sing = SBar- instance SingI Baz where- sing = SBaz- instance SingI Bum where- sing = SBum- instance SingI Q1 where- sing = SQ1- instance SingI Q2 where- sing = SQ2-Singletons/EnumDeriving.hs:0:0:: Splicing declarations- singEnumInstance ''Quux- ======>- type family Case_0123456789876543210 n t where- Case_0123456789876543210 n True = Q2Sym0- Case_0123456789876543210 n False = Apply ErrorSym0 "toEnum: bad argument"- type family Case_0123456789876543210 n t where- Case_0123456789876543210 n True = Q1Sym0- Case_0123456789876543210 n False = Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (Data.Singletons.Prelude.Num.FromInteger 1))- type family ToEnum_0123456789876543210 (a :: GHC.Types.Nat) :: Quux where- ToEnum_0123456789876543210 n = Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (Data.Singletons.Prelude.Num.FromInteger 0))- type ToEnum_0123456789876543210Sym1 (t :: GHC.Types.Nat) =- ToEnum_0123456789876543210 t- instance SuppressUnusedWarnings ToEnum_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ToEnum_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data ToEnum_0123456789876543210Sym0 (l :: TyFun GHC.Types.Nat Quux)- = forall arg. SameKind (Apply ToEnum_0123456789876543210Sym0 arg) (ToEnum_0123456789876543210Sym1 arg) =>- ToEnum_0123456789876543210Sym0KindInference- type instance Apply ToEnum_0123456789876543210Sym0 l = ToEnum_0123456789876543210 l- type family FromEnum_0123456789876543210 (a :: Quux) :: GHC.Types.Nat where- FromEnum_0123456789876543210 Q1 = Data.Singletons.Prelude.Num.FromInteger 0- FromEnum_0123456789876543210 Q2 = Data.Singletons.Prelude.Num.FromInteger 1- type FromEnum_0123456789876543210Sym1 (t :: Quux) =- FromEnum_0123456789876543210 t- instance SuppressUnusedWarnings FromEnum_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) FromEnum_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data FromEnum_0123456789876543210Sym0 (l :: TyFun Quux GHC.Types.Nat)- = forall arg. SameKind (Apply FromEnum_0123456789876543210Sym0 arg) (FromEnum_0123456789876543210Sym1 arg) =>- FromEnum_0123456789876543210Sym0KindInference- type instance Apply FromEnum_0123456789876543210Sym0 l = FromEnum_0123456789876543210 l- instance PEnum Quux where- type ToEnum a = Apply ToEnum_0123456789876543210Sym0 a- type FromEnum a = Apply FromEnum_0123456789876543210Sym0 a- instance SEnum Quux where- sToEnum ::- forall (t :: GHC.Types.Nat).- Sing t- -> Sing (Apply (Data.Singletons.Prelude.Enum.ToEnumSym0 :: TyFun GHC.Types.Nat Quux- -> GHC.Types.Type) t)- sFromEnum ::- forall (t :: Quux).- Sing t- -> Sing (Apply (Data.Singletons.Prelude.Enum.FromEnumSym0 :: TyFun Quux GHC.Types.Nat- -> GHC.Types.Type) t)- sToEnum (sN :: Sing n)- = case- (applySing ((applySing ((singFun2 @(==@#@$)) (%==))) sN))- (Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 0))- of- STrue -> SQ1- SFalse- -> case- (applySing ((applySing ((singFun2 @(==@#@$)) (%==))) sN))- (Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 1))- of- STrue -> SQ2- SFalse -> sError (sing :: Sing "toEnum: bad argument") ::- Sing (Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (Data.Singletons.Prelude.Num.FromInteger 1))) ::- Sing (Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (Data.Singletons.Prelude.Num.FromInteger 0)))- sFromEnum SQ1- = Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 0)- sFromEnum SQ2- = Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 1)
+ tests/compile-and-dump/Singletons/EnumDeriving.ghc86.template view
@@ -0,0 +1,199 @@+Singletons/EnumDeriving.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| data Foo+ = Bar | Baz | Bum+ deriving Enum+ data Quux = Q1 | Q2 |]+ ======>+ data Foo+ = Bar | Baz | Bum+ deriving Enum+ data Quux = Q1 | Q2+ type BarSym0 = Bar+ type BazSym0 = Baz+ type BumSym0 = Bum+ type Q1Sym0 = Q1+ type Q2Sym0 = Q2+ type family Case_0123456789876543210 n t where+ Case_0123456789876543210 n 'True = BumSym0+ Case_0123456789876543210 n 'False = Apply ErrorSym0 "toEnum: bad argument"+ type family Case_0123456789876543210 n t where+ Case_0123456789876543210 n 'True = BazSym0+ Case_0123456789876543210 n 'False = Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (Data.Singletons.Prelude.Num.FromInteger 2))+ type family Case_0123456789876543210 n t where+ Case_0123456789876543210 n 'True = BarSym0+ Case_0123456789876543210 n 'False = Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (Data.Singletons.Prelude.Num.FromInteger 1))+ type family ToEnum_0123456789876543210 (a :: GHC.Types.Nat) :: Foo where+ ToEnum_0123456789876543210 n = Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (Data.Singletons.Prelude.Num.FromInteger 0))+ type ToEnum_0123456789876543210Sym1 (a0123456789876543210 :: GHC.Types.Nat) =+ ToEnum_0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ToEnum_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) ToEnum_0123456789876543210Sym0KindInference) ())+ data ToEnum_0123456789876543210Sym0 :: (~>) GHC.Types.Nat Foo+ where+ ToEnum_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply ToEnum_0123456789876543210Sym0 arg) (ToEnum_0123456789876543210Sym1 arg) =>+ ToEnum_0123456789876543210Sym0 a0123456789876543210+ type instance Apply ToEnum_0123456789876543210Sym0 a0123456789876543210 = ToEnum_0123456789876543210 a0123456789876543210+ type family FromEnum_0123456789876543210 (a :: Foo) :: GHC.Types.Nat where+ FromEnum_0123456789876543210 Bar = Data.Singletons.Prelude.Num.FromInteger 0+ FromEnum_0123456789876543210 Baz = Data.Singletons.Prelude.Num.FromInteger 1+ FromEnum_0123456789876543210 Bum = Data.Singletons.Prelude.Num.FromInteger 2+ type FromEnum_0123456789876543210Sym1 (a0123456789876543210 :: Foo) =+ FromEnum_0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings FromEnum_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) FromEnum_0123456789876543210Sym0KindInference) ())+ data FromEnum_0123456789876543210Sym0 :: (~>) Foo GHC.Types.Nat+ where+ FromEnum_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply FromEnum_0123456789876543210Sym0 arg) (FromEnum_0123456789876543210Sym1 arg) =>+ FromEnum_0123456789876543210Sym0 a0123456789876543210+ type instance Apply FromEnum_0123456789876543210Sym0 a0123456789876543210 = FromEnum_0123456789876543210 a0123456789876543210+ instance PEnum Foo where+ type ToEnum a = Apply ToEnum_0123456789876543210Sym0 a+ type FromEnum a = Apply FromEnum_0123456789876543210Sym0 a+ data instance Sing :: Foo -> GHC.Types.Type+ where+ SBar :: Sing Bar+ SBaz :: Sing Baz+ SBum :: Sing Bum+ type SFoo = (Sing :: Foo -> GHC.Types.Type)+ instance SingKind Foo where+ type Demote Foo = Foo+ fromSing SBar = Bar+ fromSing SBaz = Baz+ fromSing SBum = Bum+ toSing Bar = SomeSing SBar+ toSing Baz = SomeSing SBaz+ toSing Bum = SomeSing SBum+ data instance Sing :: Quux -> GHC.Types.Type+ where+ SQ1 :: Sing Q1+ SQ2 :: Sing Q2+ type SQuux = (Sing :: Quux -> GHC.Types.Type)+ instance SingKind Quux where+ type Demote Quux = Quux+ fromSing SQ1 = Q1+ fromSing SQ2 = Q2+ toSing Q1 = SomeSing SQ1+ toSing Q2 = SomeSing SQ2+ instance SEnum Foo where+ sToEnum ::+ forall (t :: GHC.Types.Nat).+ Sing t+ -> Sing (Apply (Data.Singletons.Prelude.Enum.ToEnumSym0 :: TyFun GHC.Types.Nat Foo+ -> GHC.Types.Type) t)+ sFromEnum ::+ forall (t :: Foo).+ Sing t+ -> Sing (Apply (Data.Singletons.Prelude.Enum.FromEnumSym0 :: TyFun Foo GHC.Types.Nat+ -> GHC.Types.Type) t)+ sToEnum (sN :: Sing n)+ = (case+ (applySing ((applySing ((singFun2 @(==@#@$)) (%==))) sN))+ (Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 0))+ of+ STrue -> SBar+ SFalse+ -> (case+ (applySing ((applySing ((singFun2 @(==@#@$)) (%==))) sN))+ (Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 1))+ of+ STrue -> SBaz+ SFalse+ -> (case+ (applySing ((applySing ((singFun2 @(==@#@$)) (%==))) sN))+ (Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 2))+ of+ STrue -> SBum+ SFalse -> sError (sing :: Sing "toEnum: bad argument")) ::+ Sing (Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (Data.Singletons.Prelude.Num.FromInteger 2)))) ::+ Sing (Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (Data.Singletons.Prelude.Num.FromInteger 1)))) ::+ Sing (Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (Data.Singletons.Prelude.Num.FromInteger 0)))+ sFromEnum SBar+ = Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 0)+ sFromEnum SBaz+ = Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 1)+ sFromEnum SBum+ = Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 2)+ instance SingI Bar where+ sing = SBar+ instance SingI Baz where+ sing = SBaz+ instance SingI Bum where+ sing = SBum+ instance SingI Q1 where+ sing = SQ1+ instance SingI Q2 where+ sing = SQ2+Singletons/EnumDeriving.hs:0:0:: Splicing declarations+ singEnumInstance ''Quux+ ======>+ type family Case_0123456789876543210 n t where+ Case_0123456789876543210 n 'True = Q2Sym0+ Case_0123456789876543210 n 'False = Apply ErrorSym0 "toEnum: bad argument"+ type family Case_0123456789876543210 n t where+ Case_0123456789876543210 n 'True = Q1Sym0+ Case_0123456789876543210 n 'False = Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (Data.Singletons.Prelude.Num.FromInteger 1))+ type family ToEnum_0123456789876543210 (a :: GHC.Types.Nat) :: Quux where+ ToEnum_0123456789876543210 n = Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (Data.Singletons.Prelude.Num.FromInteger 0))+ type ToEnum_0123456789876543210Sym1 (a0123456789876543210 :: GHC.Types.Nat) =+ ToEnum_0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ToEnum_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) ToEnum_0123456789876543210Sym0KindInference) ())+ data ToEnum_0123456789876543210Sym0 :: (~>) GHC.Types.Nat Quux+ where+ ToEnum_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply ToEnum_0123456789876543210Sym0 arg) (ToEnum_0123456789876543210Sym1 arg) =>+ ToEnum_0123456789876543210Sym0 a0123456789876543210+ type instance Apply ToEnum_0123456789876543210Sym0 a0123456789876543210 = ToEnum_0123456789876543210 a0123456789876543210+ type family FromEnum_0123456789876543210 (a :: Quux) :: GHC.Types.Nat where+ FromEnum_0123456789876543210 'Q1 = Data.Singletons.Prelude.Num.FromInteger 0+ FromEnum_0123456789876543210 'Q2 = Data.Singletons.Prelude.Num.FromInteger 1+ type FromEnum_0123456789876543210Sym1 (a0123456789876543210 :: Quux) =+ FromEnum_0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings FromEnum_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) FromEnum_0123456789876543210Sym0KindInference) ())+ data FromEnum_0123456789876543210Sym0 :: (~>) Quux GHC.Types.Nat+ where+ FromEnum_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply FromEnum_0123456789876543210Sym0 arg) (FromEnum_0123456789876543210Sym1 arg) =>+ FromEnum_0123456789876543210Sym0 a0123456789876543210+ type instance Apply FromEnum_0123456789876543210Sym0 a0123456789876543210 = FromEnum_0123456789876543210 a0123456789876543210+ instance PEnum Quux where+ type ToEnum a = Apply ToEnum_0123456789876543210Sym0 a+ type FromEnum a = Apply FromEnum_0123456789876543210Sym0 a+ instance SEnum Quux where+ sToEnum ::+ forall (t :: GHC.Types.Nat).+ Sing t+ -> Sing (Apply (Data.Singletons.Prelude.Enum.ToEnumSym0 :: TyFun GHC.Types.Nat Quux+ -> GHC.Types.Type) t)+ sFromEnum ::+ forall (t :: Quux).+ Sing t+ -> Sing (Apply (Data.Singletons.Prelude.Enum.FromEnumSym0 :: TyFun Quux GHC.Types.Nat+ -> GHC.Types.Type) t)+ sToEnum (sN :: Sing n)+ = (case+ (applySing ((applySing ((singFun2 @(==@#@$)) (%==))) sN))+ (Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 0))+ of+ STrue -> SQ1+ SFalse+ -> (case+ (applySing ((applySing ((singFun2 @(==@#@$)) (%==))) sN))+ (Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 1))+ of+ STrue -> SQ2+ SFalse -> sError (sing :: Sing "toEnum: bad argument")) ::+ Sing (Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (Data.Singletons.Prelude.Num.FromInteger 1)))) ::+ Sing (Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (Data.Singletons.Prelude.Num.FromInteger 0)))+ sFromEnum SQ1+ = Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 0)+ sFromEnum SQ2+ = Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 1)
− tests/compile-and-dump/Singletons/EqInstances.ghc84.template
@@ -1,21 +0,0 @@-Singletons/EqInstances.hs:0:0:: Splicing declarations- singEqInstances [''Foo, ''Empty]- ======>- instance SEq Foo => SEq Foo where- (%==) SFLeaf SFLeaf = STrue- (%==) SFLeaf ((:%+:) _ _) = SFalse- (%==) ((:%+:) _ _) SFLeaf = SFalse- (%==) ((:%+:) a a) ((:%+:) b b)- = ((%&&) (((%==) a) b)) (((%==) a) b)- type family Equals_0123456789876543210 (a :: Foo) (b :: Foo) :: Bool where- Equals_0123456789876543210 FLeaf FLeaf = TrueSym0- Equals_0123456789876543210 ((:+:) a a) ((:+:) b b) = (&&) ((==) a b) ((==) a b)- Equals_0123456789876543210 (_ :: Foo) (_ :: Foo) = FalseSym0- instance PEq Foo where- type (==) a b = Equals_0123456789876543210 a b- instance SEq Empty where- (%==) _ _ = STrue- type family Equals_0123456789876543210 (a :: Empty) (b :: Empty) :: Bool where- Equals_0123456789876543210 (_ :: Empty) (_ :: Empty) = TrueSym0- instance PEq Empty where- type (==) a b = Equals_0123456789876543210 a b
+ tests/compile-and-dump/Singletons/EqInstances.ghc86.template view
@@ -0,0 +1,21 @@+Singletons/EqInstances.hs:0:0:: Splicing declarations+ singEqInstances [''Foo, ''Empty]+ ======>+ instance SEq Foo => SEq Foo where+ (%==) SFLeaf SFLeaf = STrue+ (%==) SFLeaf ((:%+:) _ _) = SFalse+ (%==) ((:%+:) _ _) SFLeaf = SFalse+ (%==) ((:%+:) a a) ((:%+:) b b)+ = ((%&&) (((%==) a) b)) (((%==) a) b)+ type family Equals_0123456789876543210 (a :: Foo) (b :: Foo) :: Bool where+ Equals_0123456789876543210 'FLeaf 'FLeaf = TrueSym0+ Equals_0123456789876543210 ( '(:+:) a a) ( '(:+:) b b) = (&&) ((==) a b) ((==) a b)+ Equals_0123456789876543210 (_ :: Foo) (_ :: Foo) = FalseSym0+ instance PEq Foo where+ type (==) a b = Equals_0123456789876543210 a b+ instance SEq Empty where+ (%==) _ _ = STrue+ type family Equals_0123456789876543210 (a :: Empty) (b :: Empty) :: Bool where+ Equals_0123456789876543210 (_ :: Empty) (_ :: Empty) = TrueSym0+ instance PEq Empty where+ type (==) a b = Equals_0123456789876543210 a b
− tests/compile-and-dump/Singletons/Error.ghc84.template
@@ -1,24 +0,0 @@-Singletons/Error.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| head :: [a] -> a- head (a : _) = a- head [] = error "Data.Singletons.List.head: empty list" |]- ======>- head :: [a] -> a- head (a GHC.Types.: _) = a- head GHC.Types.[] = error "Data.Singletons.List.head: empty list"- type HeadSym1 (t :: [a0123456789876543210]) = Head t- instance SuppressUnusedWarnings HeadSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) HeadSym0KindInference) GHC.Tuple.())- data HeadSym0 (l :: TyFun [a0123456789876543210] a0123456789876543210)- = forall arg. SameKind (Apply HeadSym0 arg) (HeadSym1 arg) =>- HeadSym0KindInference- type instance Apply HeadSym0 l = Head l- type family Head (a :: [a]) :: a where- Head ((:) a _) = a- Head '[] = Apply ErrorSym0 "Data.Singletons.List.head: empty list"- sHead :: forall (t :: [a]). Sing t -> Sing (Apply HeadSym0 t :: a)- sHead (SCons (sA :: Sing a) _) = sA- sHead SNil- = sError (sing :: Sing "Data.Singletons.List.head: empty list")
+ tests/compile-and-dump/Singletons/Error.ghc86.template view
@@ -0,0 +1,30 @@+Singletons/Error.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| head :: [a] -> a+ head (a : _) = a+ head [] = error "Data.Singletons.List.head: empty list" |]+ ======>+ head :: [a] -> a+ head (a : _) = a+ head [] = error "Data.Singletons.List.head: empty list"+ type HeadSym1 (a0123456789876543210 :: [a0123456789876543210]) =+ Head a0123456789876543210+ instance SuppressUnusedWarnings HeadSym0 where+ suppressUnusedWarnings = snd (((,) HeadSym0KindInference) ())+ data HeadSym0 :: forall a0123456789876543210.+ (~>) [a0123456789876543210] a0123456789876543210+ where+ HeadSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply HeadSym0 arg) (HeadSym1 arg) =>+ HeadSym0 a0123456789876543210+ type instance Apply HeadSym0 a0123456789876543210 = Head a0123456789876543210+ type family Head (a :: [a]) :: a where+ Head ( '(:) a _) = a+ Head '[] = Apply ErrorSym0 "Data.Singletons.List.head: empty list"+ sHead ::+ forall a (t :: [a]). Sing t -> Sing (Apply HeadSym0 t :: a)+ sHead (SCons (sA :: Sing a) _) = sA+ sHead SNil+ = sError (sing :: Sing "Data.Singletons.List.head: empty list")+ instance SingI (HeadSym0 :: (~>) [a] a) where+ sing = (singFun1 @HeadSym0) sHead
tests/compile-and-dump/Singletons/Error.hs view
@@ -1,7 +1,7 @@ module Singletons.Error where import Data.Singletons-import Data.Singletons.Prelude hiding (Head, HeadSym0, HeadSym1)+import Data.Singletons.Prelude hiding (Head, HeadSym0, HeadSym1, sHead) import Data.Singletons.TH $(singletons [d|
− tests/compile-and-dump/Singletons/Fixity.ghc84.template
@@ -1,66 +0,0 @@-Singletons/Fixity.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| infix 4 ====- infix 4 <=>- - (====) :: a -> a -> a- a ==== _ = a- - class MyOrd a where- (<=>) :: a -> a -> Ordering- infix 4 <=> |]- ======>- class MyOrd a where- (<=>) :: a -> a -> Ordering- infix 4 <=>- (====) :: a -> a -> a- (====) a _ = a- infix 4 ====- type (====@#@$$$) (t :: a0123456789876543210) (t :: a0123456789876543210) =- (====) t t- instance SuppressUnusedWarnings (====@#@$$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (:====@#@$$###)) GHC.Tuple.())- data (====@#@$$) (l :: a0123456789876543210) (l :: TyFun a0123456789876543210 a0123456789876543210)- = forall arg. SameKind (Apply ((====@#@$$) l) arg) ((====@#@$$$) l arg) =>- (:====@#@$$###)- type instance Apply ((====@#@$$) l) l = (====) l l- instance SuppressUnusedWarnings (====@#@$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (:====@#@$###)) GHC.Tuple.())- data (====@#@$) (l :: TyFun a0123456789876543210 (TyFun a0123456789876543210 a0123456789876543210- -> GHC.Types.Type))- = forall arg. SameKind (Apply (====@#@$) arg) ((====@#@$$) arg) =>- (:====@#@$###)- type instance Apply (====@#@$) l = (====@#@$$) l- type family (====) (a :: a) (a :: a) :: a where- (====) a _ = a- type (<=>@#@$$$) (t :: a0123456789876543210) (t :: a0123456789876543210) =- (<=>) t t- instance SuppressUnusedWarnings (<=>@#@$$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (:<=>@#@$$###)) GHC.Tuple.())- data (<=>@#@$$) (l :: a0123456789876543210) (l :: TyFun a0123456789876543210 Ordering)- = forall arg. SameKind (Apply ((<=>@#@$$) l) arg) ((<=>@#@$$$) l arg) =>- (:<=>@#@$$###)- type instance Apply ((<=>@#@$$) l) l = (<=>) l l- instance SuppressUnusedWarnings (<=>@#@$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (:<=>@#@$###)) GHC.Tuple.())- data (<=>@#@$) (l :: TyFun a0123456789876543210 (TyFun a0123456789876543210 Ordering- -> GHC.Types.Type))- = forall arg. SameKind (Apply (<=>@#@$) arg) ((<=>@#@$$) arg) =>- (:<=>@#@$###)- type instance Apply (<=>@#@$) l = (<=>@#@$$) l- class PMyOrd (a :: GHC.Types.Type) where- type (<=>) (arg :: a) (arg :: a) :: Ordering- infix 4 %====- infix 4 %<=>- (%====) ::- forall (t :: a) (t :: a).- Sing t -> Sing t -> Sing (Apply (Apply (====@#@$) t) t :: a)- (%====) (sA :: Sing a) _ = sA- class SMyOrd a where- (%<=>) ::- forall (t :: a) (t :: a).- Sing t -> Sing t -> Sing (Apply (Apply (<=>@#@$) t) t :: Ordering)
+ tests/compile-and-dump/Singletons/Fixity.ghc86.template view
@@ -0,0 +1,86 @@+Singletons/Fixity.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| infix 4 ====+ infix 4 <=>+ + (====) :: a -> a -> a+ a ==== _ = a+ + class MyOrd a where+ (<=>) :: a -> a -> Ordering+ infix 4 <=> |]+ ======>+ class MyOrd a where+ (<=>) :: a -> a -> Ordering+ infix 4 <=>+ (====) :: a -> a -> a+ (====) a _ = a+ infix 4 ====+ type (====@#@$$$) (a0123456789876543210 :: a0123456789876543210) (a0123456789876543210 :: a0123456789876543210) =+ (====) a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ((====@#@$$) a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) (:====@#@$$###)) ())+ data (====@#@$$) (a0123456789876543210 :: a0123456789876543210) :: (~>) a0123456789876543210 a0123456789876543210+ where+ (:====@#@$$###) :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply ((====@#@$$) a0123456789876543210) arg) ((====@#@$$$) a0123456789876543210 arg) =>+ (====@#@$$) a0123456789876543210 a0123456789876543210+ type instance Apply ((====@#@$$) a0123456789876543210) a0123456789876543210 = (====) a0123456789876543210 a0123456789876543210+ infix 4 ====@#@$$+ instance SuppressUnusedWarnings (====@#@$) where+ suppressUnusedWarnings = snd (((,) (:====@#@$###)) ())+ data (====@#@$) :: forall a0123456789876543210.+ (~>) a0123456789876543210 ((~>) a0123456789876543210 a0123456789876543210)+ where+ (:====@#@$###) :: forall a0123456789876543210+ arg. SameKind (Apply (====@#@$) arg) ((====@#@$$) arg) =>+ (====@#@$) a0123456789876543210+ type instance Apply (====@#@$) a0123456789876543210 = (====@#@$$) a0123456789876543210+ infix 4 ====@#@$+ type family (====) (a :: a) (a :: a) :: a where+ (====) a _ = a+ type (<=>@#@$$$) (arg0123456789876543210 :: a0123456789876543210) (arg0123456789876543210 :: a0123456789876543210) =+ (<=>) arg0123456789876543210 arg0123456789876543210+ instance SuppressUnusedWarnings ((<=>@#@$$) arg0123456789876543210) where+ suppressUnusedWarnings = snd (((,) (:<=>@#@$$###)) ())+ data (<=>@#@$$) (arg0123456789876543210 :: a0123456789876543210) :: (~>) a0123456789876543210 Ordering+ where+ (:<=>@#@$$###) :: forall arg0123456789876543210+ arg0123456789876543210+ arg. SameKind (Apply ((<=>@#@$$) arg0123456789876543210) arg) ((<=>@#@$$$) arg0123456789876543210 arg) =>+ (<=>@#@$$) arg0123456789876543210 arg0123456789876543210+ type instance Apply ((<=>@#@$$) arg0123456789876543210) arg0123456789876543210 = (<=>) arg0123456789876543210 arg0123456789876543210+ infix 4 <=>@#@$$+ instance SuppressUnusedWarnings (<=>@#@$) where+ suppressUnusedWarnings = snd (((,) (:<=>@#@$###)) ())+ data (<=>@#@$) :: forall a0123456789876543210.+ (~>) a0123456789876543210 ((~>) a0123456789876543210 Ordering)+ where+ (:<=>@#@$###) :: forall arg0123456789876543210+ arg. SameKind (Apply (<=>@#@$) arg) ((<=>@#@$$) arg) =>+ (<=>@#@$) arg0123456789876543210+ type instance Apply (<=>@#@$) arg0123456789876543210 = (<=>@#@$$) arg0123456789876543210+ infix 4 <=>@#@$+ class PMyOrd (a :: GHC.Types.Type) where+ type (<=>) (arg :: a) (arg :: a) :: Ordering+ infix 4 %====+ infix 4 %<=>+ (%====) ::+ forall a (t :: a) (t :: a).+ Sing t -> Sing t -> Sing (Apply (Apply (====@#@$) t) t :: a)+ (%====) (sA :: Sing a) _ = sA+ instance SingI ((====@#@$) :: (~>) a ((~>) a a)) where+ sing = (singFun2 @(====@#@$)) (%====)+ instance SingI d => SingI ((====@#@$$) (d :: a) :: (~>) a a) where+ sing = (singFun1 @((====@#@$$) (d :: a))) ((%====) (sing @d))+ class SMyOrd a where+ (%<=>) ::+ forall (t :: a) (t :: a).+ Sing t -> Sing t -> Sing (Apply (Apply (<=>@#@$) t) t :: Ordering)+ instance SMyOrd a =>+ SingI ((<=>@#@$) :: (~>) a ((~>) a Ordering)) where+ sing = (singFun2 @(<=>@#@$)) (%<=>)+ instance (SMyOrd a, SingI d) =>+ SingI ((<=>@#@$$) (d :: a) :: (~>) a Ordering) where+ sing = (singFun1 @((<=>@#@$$) (d :: a))) ((%<=>) (sing @d))
− tests/compile-and-dump/Singletons/FunDeps.ghc84.template
@@ -1,86 +0,0 @@-Singletons/FunDeps.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| t1 = meth True- - class FD a b | a -> b where- meth :: a -> a- l2r :: a -> b- - instance FD Bool Nat where- meth = not- l2r False = 0- l2r True = 1 |]- ======>- class FD a b | a -> b where- meth :: a -> a- l2r :: a -> b- instance FD Bool Nat where- meth = not- l2r False = 0- l2r True = 1- t1 = meth True- type T1Sym0 = T1- type family T1 where- T1 = Apply MethSym0 TrueSym0- type MethSym1 (t :: a0123456789876543210) = Meth t- instance SuppressUnusedWarnings MethSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) MethSym0KindInference) GHC.Tuple.())- data MethSym0 (l :: TyFun a0123456789876543210 a0123456789876543210)- = forall arg. SameKind (Apply MethSym0 arg) (MethSym1 arg) =>- MethSym0KindInference- type instance Apply MethSym0 l = Meth l- type L2rSym1 (t :: a0123456789876543210) = L2r t- instance SuppressUnusedWarnings L2rSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) L2rSym0KindInference) GHC.Tuple.())- data L2rSym0 (l :: TyFun a0123456789876543210 b0123456789876543210)- = forall arg. SameKind (Apply L2rSym0 arg) (L2rSym1 arg) =>- L2rSym0KindInference- type instance Apply L2rSym0 l = L2r l- class PFD (a :: GHC.Types.Type) (b :: GHC.Types.Type) | a -> b where- type Meth (arg :: a) :: a- type L2r (arg :: a) :: b- type family Meth_0123456789876543210 (a :: Bool) :: Bool where- Meth_0123456789876543210 a_0123456789876543210 = Apply NotSym0 a_0123456789876543210- type Meth_0123456789876543210Sym1 (t :: Bool) =- Meth_0123456789876543210 t- instance SuppressUnusedWarnings Meth_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Meth_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Meth_0123456789876543210Sym0 (l :: TyFun Bool Bool)- = forall arg. SameKind (Apply Meth_0123456789876543210Sym0 arg) (Meth_0123456789876543210Sym1 arg) =>- Meth_0123456789876543210Sym0KindInference- type instance Apply Meth_0123456789876543210Sym0 l = Meth_0123456789876543210 l- type family L2r_0123456789876543210 (a :: Bool) :: Nat where- L2r_0123456789876543210 False = FromInteger 0- L2r_0123456789876543210 True = FromInteger 1- type L2r_0123456789876543210Sym1 (t :: Bool) =- L2r_0123456789876543210 t- instance SuppressUnusedWarnings L2r_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) L2r_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data L2r_0123456789876543210Sym0 (l :: TyFun Bool Nat)- = forall arg. SameKind (Apply L2r_0123456789876543210Sym0 arg) (L2r_0123456789876543210Sym1 arg) =>- L2r_0123456789876543210Sym0KindInference- type instance Apply L2r_0123456789876543210Sym0 l = L2r_0123456789876543210 l- instance PFD Bool Nat where- type Meth a = Apply Meth_0123456789876543210Sym0 a- type L2r a = Apply L2r_0123456789876543210Sym0 a- sT1 :: Sing T1Sym0- sT1 = (applySing ((singFun1 @MethSym0) sMeth)) STrue- class SFD a b | a -> b where- sMeth :: forall (t :: a). Sing t -> Sing (Apply MethSym0 t :: a)- sL2r :: forall (t :: a). Sing t -> Sing (Apply L2rSym0 t :: b)- instance SFD Bool Nat where- sMeth ::- forall (t :: Bool). Sing t -> Sing (Apply MethSym0 t :: Bool)- sL2r :: forall (t :: Bool). Sing t -> Sing (Apply L2rSym0 t :: Nat)- sMeth (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing ((singFun1 @NotSym0) sNot)) sA_0123456789876543210- sL2r SFalse = sFromInteger (sing :: Sing 0)- sL2r STrue = sFromInteger (sing :: Sing 1)
+ tests/compile-and-dump/Singletons/FunDeps.ghc86.template view
@@ -0,0 +1,96 @@+Singletons/FunDeps.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| t1 = meth True+ + class FD a b | a -> b where+ meth :: a -> a+ l2r :: a -> b+ + instance FD Bool Nat where+ meth = not+ l2r False = 0+ l2r True = 1 |]+ ======>+ class FD a b | a -> b where+ meth :: a -> a+ l2r :: a -> b+ instance FD Bool Nat where+ meth = not+ l2r False = 0+ l2r True = 1+ t1 = meth True+ type T1Sym0 = T1+ type family T1 where+ T1 = Apply MethSym0 TrueSym0+ type MethSym1 (arg0123456789876543210 :: a0123456789876543210) =+ Meth arg0123456789876543210+ instance SuppressUnusedWarnings MethSym0 where+ suppressUnusedWarnings = snd (((,) MethSym0KindInference) ())+ data MethSym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 a0123456789876543210+ where+ MethSym0KindInference :: forall arg0123456789876543210+ arg. SameKind (Apply MethSym0 arg) (MethSym1 arg) =>+ MethSym0 arg0123456789876543210+ type instance Apply MethSym0 arg0123456789876543210 = Meth arg0123456789876543210+ type L2rSym1 (arg0123456789876543210 :: a0123456789876543210) =+ L2r arg0123456789876543210+ instance SuppressUnusedWarnings L2rSym0 where+ suppressUnusedWarnings = snd (((,) L2rSym0KindInference) ())+ data L2rSym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) a0123456789876543210 b0123456789876543210+ where+ L2rSym0KindInference :: forall arg0123456789876543210+ arg. SameKind (Apply L2rSym0 arg) (L2rSym1 arg) =>+ L2rSym0 arg0123456789876543210+ type instance Apply L2rSym0 arg0123456789876543210 = L2r arg0123456789876543210+ class PFD (a :: GHC.Types.Type) (b :: GHC.Types.Type) | a -> b where+ type Meth (arg :: a) :: a+ type L2r (arg :: a) :: b+ type family Meth_0123456789876543210 (a :: Bool) :: Bool where+ Meth_0123456789876543210 a_0123456789876543210 = Apply NotSym0 a_0123456789876543210+ type Meth_0123456789876543210Sym1 (a0123456789876543210 :: Bool) =+ Meth_0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Meth_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Meth_0123456789876543210Sym0KindInference) ())+ data Meth_0123456789876543210Sym0 :: (~>) Bool Bool+ where+ Meth_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Meth_0123456789876543210Sym0 arg) (Meth_0123456789876543210Sym1 arg) =>+ Meth_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Meth_0123456789876543210Sym0 a0123456789876543210 = Meth_0123456789876543210 a0123456789876543210+ type family L2r_0123456789876543210 (a :: Bool) :: Nat where+ L2r_0123456789876543210 'False = FromInteger 0+ L2r_0123456789876543210 'True = FromInteger 1+ type L2r_0123456789876543210Sym1 (a0123456789876543210 :: Bool) =+ L2r_0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings L2r_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) L2r_0123456789876543210Sym0KindInference) ())+ data L2r_0123456789876543210Sym0 :: (~>) Bool Nat+ where+ L2r_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply L2r_0123456789876543210Sym0 arg) (L2r_0123456789876543210Sym1 arg) =>+ L2r_0123456789876543210Sym0 a0123456789876543210+ type instance Apply L2r_0123456789876543210Sym0 a0123456789876543210 = L2r_0123456789876543210 a0123456789876543210+ instance PFD Bool Nat where+ type Meth a = Apply Meth_0123456789876543210Sym0 a+ type L2r a = Apply L2r_0123456789876543210Sym0 a+ sT1 :: Sing T1Sym0+ sT1 = (applySing ((singFun1 @MethSym0) sMeth)) STrue+ class SFD a b | a -> b where+ sMeth :: forall (t :: a). Sing t -> Sing (Apply MethSym0 t :: a)+ sL2r :: forall (t :: a). Sing t -> Sing (Apply L2rSym0 t :: b)+ instance SFD Bool Nat where+ sMeth ::+ forall (t :: Bool). Sing t -> Sing (Apply MethSym0 t :: Bool)+ sL2r :: forall (t :: Bool). Sing t -> Sing (Apply L2rSym0 t :: Nat)+ sMeth (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing ((singFun1 @NotSym0) sNot)) sA_0123456789876543210+ sL2r SFalse = sFromInteger (sing :: Sing 0)+ sL2r STrue = sFromInteger (sing :: Sing 1)+ instance SFD a b => SingI (MethSym0 :: (~>) a a) where+ sing = (singFun1 @MethSym0) sMeth+ instance SFD a b => SingI (L2rSym0 :: (~>) a b) where+ sing = (singFun1 @L2rSym0) sL2r
+ tests/compile-and-dump/Singletons/FunctorLikeDeriving.ghc86.template view
@@ -0,0 +1,1646 @@+Singletons/FunctorLikeDeriving.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| data T x a+ = MkT1 x a (Maybe a) (Maybe (Maybe a)) | MkT2 (Maybe x)+ deriving (Functor, Foldable, Traversable)+ data Empty (a :: Type) deriving (Functor, Foldable, Traversable) |]+ ======>+ data T x a+ = MkT1 x a (Maybe a) (Maybe (Maybe a)) | MkT2 (Maybe x)+ deriving (Functor, Foldable, Traversable)+ data Empty (a :: Type) deriving (Functor, Foldable, Traversable)+ type MkT1Sym4 (t0123456789876543210 :: x0123456789876543210) (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: Maybe a0123456789876543210) (t0123456789876543210 :: Maybe (Maybe a0123456789876543210)) =+ MkT1 t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (MkT1Sym3 t0123456789876543210 t0123456789876543210 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) MkT1Sym3KindInference) ())+ data MkT1Sym3 (t0123456789876543210 :: x0123456789876543210) (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: Maybe a0123456789876543210) :: (~>) (Maybe (Maybe a0123456789876543210)) (T x0123456789876543210 a0123456789876543210)+ where+ MkT1Sym3KindInference :: forall t0123456789876543210+ t0123456789876543210+ t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (MkT1Sym3 t0123456789876543210 t0123456789876543210 t0123456789876543210) arg) (MkT1Sym4 t0123456789876543210 t0123456789876543210 t0123456789876543210 arg) =>+ MkT1Sym3 t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210+ type instance Apply (MkT1Sym3 t0123456789876543210 t0123456789876543210 t0123456789876543210) t0123456789876543210 = MkT1 t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (MkT1Sym2 t0123456789876543210 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) MkT1Sym2KindInference) ())+ data MkT1Sym2 (t0123456789876543210 :: x0123456789876543210) (t0123456789876543210 :: a0123456789876543210) :: (~>) (Maybe a0123456789876543210) ((~>) (Maybe (Maybe a0123456789876543210)) (T x0123456789876543210 a0123456789876543210))+ where+ MkT1Sym2KindInference :: forall t0123456789876543210+ t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (MkT1Sym2 t0123456789876543210 t0123456789876543210) arg) (MkT1Sym3 t0123456789876543210 t0123456789876543210 arg) =>+ MkT1Sym2 t0123456789876543210 t0123456789876543210 t0123456789876543210+ type instance Apply (MkT1Sym2 t0123456789876543210 t0123456789876543210) t0123456789876543210 = MkT1Sym3 t0123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (MkT1Sym1 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) MkT1Sym1KindInference) ())+ data MkT1Sym1 (t0123456789876543210 :: x0123456789876543210) :: forall a0123456789876543210.+ (~>) a0123456789876543210 ((~>) (Maybe a0123456789876543210) ((~>) (Maybe (Maybe a0123456789876543210)) (T x0123456789876543210 a0123456789876543210)))+ where+ MkT1Sym1KindInference :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (MkT1Sym1 t0123456789876543210) arg) (MkT1Sym2 t0123456789876543210 arg) =>+ MkT1Sym1 t0123456789876543210 t0123456789876543210+ type instance Apply (MkT1Sym1 t0123456789876543210) t0123456789876543210 = MkT1Sym2 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings MkT1Sym0 where+ suppressUnusedWarnings = snd (((,) MkT1Sym0KindInference) ())+ data MkT1Sym0 :: forall a0123456789876543210 x0123456789876543210.+ (~>) x0123456789876543210 ((~>) a0123456789876543210 ((~>) (Maybe a0123456789876543210) ((~>) (Maybe (Maybe a0123456789876543210)) (T x0123456789876543210 a0123456789876543210))))+ where+ MkT1Sym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply MkT1Sym0 arg) (MkT1Sym1 arg) =>+ MkT1Sym0 t0123456789876543210+ type instance Apply MkT1Sym0 t0123456789876543210 = MkT1Sym1 t0123456789876543210+ type MkT2Sym1 (t0123456789876543210 :: Maybe x0123456789876543210) =+ MkT2 t0123456789876543210+ instance SuppressUnusedWarnings MkT2Sym0 where+ suppressUnusedWarnings = snd (((,) MkT2Sym0KindInference) ())+ data MkT2Sym0 :: forall a0123456789876543210 x0123456789876543210.+ (~>) (Maybe x0123456789876543210) (T x0123456789876543210 a0123456789876543210)+ where+ MkT2Sym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply MkT2Sym0 arg) (MkT2Sym1 arg) =>+ MkT2Sym0 t0123456789876543210+ type instance Apply MkT2Sym0 t0123456789876543210 = MkT2 t0123456789876543210+ type family Lambda_0123456789876543210 _f_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 t where+ Lambda_0123456789876543210 _f_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 n_0123456789876543210 = n_0123456789876543210+ type Lambda_0123456789876543210Sym6 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym5 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym5KindInference) ())+ data Lambda_0123456789876543210Sym5 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym5KindInference :: forall _f_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym5 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym6 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym5 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym5 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym4 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym4KindInference) ())+ data Lambda_0123456789876543210Sym4 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym4KindInference :: forall _f_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym4 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym5 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym4 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym4 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym5 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym3KindInference) ())+ data Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym3KindInference :: forall _f_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym4 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym4 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall _f_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall _f_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 _f_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall _f_01234567898765432100123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 _f_01234567898765432100123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 _f_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210+ type family Lambda_0123456789876543210 _f_0123456789876543210 a_0123456789876543210 t where+ Lambda_0123456789876543210 _f_0123456789876543210 a_0123456789876543210 n_0123456789876543210 = n_0123456789876543210+ type Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall _f_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall _f_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 _f_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall _f_01234567898765432100123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 _f_01234567898765432100123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 _f_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210+ type family Fmap_0123456789876543210 (a :: (~>) a b) (a :: T x a) :: T x b where+ Fmap_0123456789876543210 _f_0123456789876543210 (MkT1 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210) = Apply (Apply (Apply (Apply MkT1Sym0 (Apply (Apply (Apply (Apply (Apply (Apply Lambda_0123456789876543210Sym0 _f_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210)) (Apply _f_0123456789876543210 a_0123456789876543210)) (Apply (Apply FmapSym0 _f_0123456789876543210) a_0123456789876543210)) (Apply (Apply FmapSym0 (Apply FmapSym0 _f_0123456789876543210)) a_0123456789876543210)+ Fmap_0123456789876543210 _f_0123456789876543210 (MkT2 a_0123456789876543210) = Apply MkT2Sym0 (Apply (Apply (Apply Lambda_0123456789876543210Sym0 _f_0123456789876543210) a_0123456789876543210) a_0123456789876543210)+ type Fmap_0123456789876543210Sym2 (a0123456789876543210 :: (~>) a0123456789876543210 b0123456789876543210) (a0123456789876543210 :: T x0123456789876543210 a0123456789876543210) =+ Fmap_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Fmap_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Fmap_0123456789876543210Sym1KindInference) ())+ data Fmap_0123456789876543210Sym1 (a0123456789876543210 :: (~>) a0123456789876543210 b0123456789876543210) :: forall x0123456789876543210.+ (~>) (T x0123456789876543210 a0123456789876543210) (T x0123456789876543210 b0123456789876543210)+ where+ Fmap_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Fmap_0123456789876543210Sym1 a0123456789876543210) arg) (Fmap_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Fmap_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Fmap_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = Fmap_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Fmap_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Fmap_0123456789876543210Sym0KindInference) ())+ data Fmap_0123456789876543210Sym0 :: forall a0123456789876543210+ b0123456789876543210+ x0123456789876543210.+ (~>) ((~>) a0123456789876543210 b0123456789876543210) ((~>) (T x0123456789876543210 a0123456789876543210) (T x0123456789876543210 b0123456789876543210))+ where+ Fmap_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Fmap_0123456789876543210Sym0 arg) (Fmap_0123456789876543210Sym1 arg) =>+ Fmap_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Fmap_0123456789876543210Sym0 a0123456789876543210 = Fmap_0123456789876543210Sym1 a0123456789876543210+ type family Lambda_0123456789876543210 _z_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 t where+ Lambda_0123456789876543210 _z_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 n_0123456789876543210 = n_0123456789876543210+ type Lambda_0123456789876543210Sym6 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym5 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym5KindInference) ())+ data Lambda_0123456789876543210Sym5 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym5KindInference :: forall _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym5 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym6 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym5 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym5 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym4 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym4KindInference) ())+ data Lambda_0123456789876543210Sym4 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym4KindInference :: forall _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym4 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym5 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym4 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym4 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym5 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym3KindInference) ())+ data Lambda_0123456789876543210Sym3 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym3KindInference :: forall _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym3 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym4 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym3 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym4 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym3 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 _z_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 _z_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym2 _z_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 _z_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym2 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 _z_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall _z_01234567898765432100123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 _z_01234567898765432100123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 _z_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym1 _z_01234567898765432100123456789876543210+ type family Lambda_0123456789876543210 _z_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 t where+ Lambda_0123456789876543210 _z_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 n_0123456789876543210 = _z_0123456789876543210+ type Lambda_0123456789876543210Sym6 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym5 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym5KindInference) ())+ data Lambda_0123456789876543210Sym5 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym5KindInference :: forall _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym5 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym6 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym5 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym5 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym4 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym4KindInference) ())+ data Lambda_0123456789876543210Sym4 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym4KindInference :: forall _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym4 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym5 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym4 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym4 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym5 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym3KindInference) ())+ data Lambda_0123456789876543210Sym3 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym3KindInference :: forall _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym3 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym4 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym3 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym4 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym3 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 _z_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 _z_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym2 _z_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 _z_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym2 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 _z_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall _z_01234567898765432100123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 _z_01234567898765432100123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 _z_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym1 _z_01234567898765432100123456789876543210+ type family Lambda_0123456789876543210 _z_0123456789876543210 a_0123456789876543210 t where+ Lambda_0123456789876543210 _z_0123456789876543210 a_0123456789876543210 n_0123456789876543210 = n_0123456789876543210+ type Lambda_0123456789876543210Sym3 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym3 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 _z_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 _z_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym2 _z_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 _z_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym2 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 _z_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall _z_01234567898765432100123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 _z_01234567898765432100123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 _z_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym1 _z_01234567898765432100123456789876543210+ type family TFHelper_0123456789876543210 (a :: a) (a :: T x b) :: T x a where+ TFHelper_0123456789876543210 _z_0123456789876543210 (MkT1 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210) = Apply (Apply (Apply (Apply MkT1Sym0 (Apply (Apply (Apply (Apply (Apply (Apply Lambda_0123456789876543210Sym0 _z_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210)) (Apply (Apply (Apply (Apply (Apply (Apply Lambda_0123456789876543210Sym0 _z_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210)) (Apply (Apply (<$@#@$) _z_0123456789876543210) a_0123456789876543210)) (Apply (Apply FmapSym0 (Apply (<$@#@$) _z_0123456789876543210)) a_0123456789876543210)+ TFHelper_0123456789876543210 _z_0123456789876543210 (MkT2 a_0123456789876543210) = Apply MkT2Sym0 (Apply (Apply (Apply Lambda_0123456789876543210Sym0 _z_0123456789876543210) a_0123456789876543210) a_0123456789876543210)+ type TFHelper_0123456789876543210Sym2 (a0123456789876543210 :: a0123456789876543210) (a0123456789876543210 :: T x0123456789876543210 b0123456789876543210) =+ TFHelper_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (TFHelper_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) TFHelper_0123456789876543210Sym1KindInference) ())+ data TFHelper_0123456789876543210Sym1 (a0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210+ x0123456789876543210.+ (~>) (T x0123456789876543210 b0123456789876543210) (T x0123456789876543210 a0123456789876543210)+ where+ TFHelper_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (TFHelper_0123456789876543210Sym1 a0123456789876543210) arg) (TFHelper_0123456789876543210Sym2 a0123456789876543210 arg) =>+ TFHelper_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (TFHelper_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = TFHelper_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings TFHelper_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) TFHelper_0123456789876543210Sym0KindInference) ())+ data TFHelper_0123456789876543210Sym0 :: forall a0123456789876543210+ b0123456789876543210+ x0123456789876543210.+ (~>) a0123456789876543210 ((~>) (T x0123456789876543210 b0123456789876543210) (T x0123456789876543210 a0123456789876543210))+ where+ TFHelper_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply TFHelper_0123456789876543210Sym0 arg) (TFHelper_0123456789876543210Sym1 arg) =>+ TFHelper_0123456789876543210Sym0 a0123456789876543210+ type instance Apply TFHelper_0123456789876543210Sym0 a0123456789876543210 = TFHelper_0123456789876543210Sym1 a0123456789876543210+ instance PFunctor (T x) where+ type Fmap a a = Apply (Apply Fmap_0123456789876543210Sym0 a) a+ type (<$) a a = Apply (Apply TFHelper_0123456789876543210Sym0 a) a+ type family Lambda_0123456789876543210 _f_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 t where+ Lambda_0123456789876543210 _f_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 n_0123456789876543210 = MemptySym0+ type Lambda_0123456789876543210Sym6 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym5 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym5KindInference) ())+ data Lambda_0123456789876543210Sym5 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym5KindInference :: forall _f_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym5 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym6 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym5 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym5 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym4 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym4KindInference) ())+ data Lambda_0123456789876543210Sym4 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym4KindInference :: forall _f_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym4 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym5 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym4 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym4 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym5 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym3KindInference) ())+ data Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym3KindInference :: forall _f_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym4 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym4 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall _f_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall _f_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 _f_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall _f_01234567898765432100123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 _f_01234567898765432100123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 _f_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210+ type family Lambda_0123456789876543210 _f_0123456789876543210 a_0123456789876543210 t where+ Lambda_0123456789876543210 _f_0123456789876543210 a_0123456789876543210 n_0123456789876543210 = MemptySym0+ type Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall _f_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 a_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall _f_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 _f_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall _f_01234567898765432100123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 _f_01234567898765432100123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 _f_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210+ type family FoldMap_0123456789876543210 (a :: (~>) a m) (a :: T x a) :: m where+ FoldMap_0123456789876543210 _f_0123456789876543210 (MkT1 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210) = Apply (Apply MappendSym0 (Apply (Apply (Apply (Apply (Apply (Apply Lambda_0123456789876543210Sym0 _f_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210)) (Apply (Apply MappendSym0 (Apply _f_0123456789876543210 a_0123456789876543210)) (Apply (Apply MappendSym0 (Apply (Apply FoldMapSym0 _f_0123456789876543210) a_0123456789876543210)) (Apply (Apply FoldMapSym0 (Apply FoldMapSym0 _f_0123456789876543210)) a_0123456789876543210)))+ FoldMap_0123456789876543210 _f_0123456789876543210 (MkT2 a_0123456789876543210) = Apply (Apply (Apply Lambda_0123456789876543210Sym0 _f_0123456789876543210) a_0123456789876543210) a_0123456789876543210+ type FoldMap_0123456789876543210Sym2 (a0123456789876543210 :: (~>) a0123456789876543210 m0123456789876543210) (a0123456789876543210 :: T x0123456789876543210 a0123456789876543210) =+ FoldMap_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (FoldMap_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) FoldMap_0123456789876543210Sym1KindInference) ())+ data FoldMap_0123456789876543210Sym1 (a0123456789876543210 :: (~>) a0123456789876543210 m0123456789876543210) :: forall x0123456789876543210.+ (~>) (T x0123456789876543210 a0123456789876543210) m0123456789876543210+ where+ FoldMap_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (FoldMap_0123456789876543210Sym1 a0123456789876543210) arg) (FoldMap_0123456789876543210Sym2 a0123456789876543210 arg) =>+ FoldMap_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (FoldMap_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = FoldMap_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings FoldMap_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) FoldMap_0123456789876543210Sym0KindInference) ())+ data FoldMap_0123456789876543210Sym0 :: forall a0123456789876543210+ m0123456789876543210+ x0123456789876543210.+ (~>) ((~>) a0123456789876543210 m0123456789876543210) ((~>) (T x0123456789876543210 a0123456789876543210) m0123456789876543210)+ where+ FoldMap_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply FoldMap_0123456789876543210Sym0 arg) (FoldMap_0123456789876543210Sym1 arg) =>+ FoldMap_0123456789876543210Sym0 a0123456789876543210+ type instance Apply FoldMap_0123456789876543210Sym0 a0123456789876543210 = FoldMap_0123456789876543210Sym1 a0123456789876543210+ type family Lambda_0123456789876543210 _f_0123456789876543210 _z_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 t t where+ Lambda_0123456789876543210 _f_0123456789876543210 _z_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 n1_0123456789876543210 n2_0123456789876543210 = n2_0123456789876543210+ type Lambda_0123456789876543210Sym8 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym7 t0123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym7KindInference) ())+ data Lambda_0123456789876543210Sym7 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym7KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym7 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210) arg) (Lambda_0123456789876543210Sym8 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym7 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym7 t0123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 t0123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym6 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym6KindInference) ())+ data Lambda_0123456789876543210Sym6 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym6KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym6 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym7 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym6 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym6 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) t0123456789876543210 = Lambda_0123456789876543210Sym7 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym5 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym5KindInference) ())+ data Lambda_0123456789876543210Sym5 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym5KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym5 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym6 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym5 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym5 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym6 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym4 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym4KindInference) ())+ data Lambda_0123456789876543210Sym4 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym4KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym4 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym5 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym4 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym4 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym5 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym3KindInference) ())+ data Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym3KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym4 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym4 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym3 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210) _z_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 _f_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall _f_01234567898765432100123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 _f_01234567898765432100123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 _f_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210+ type family Lambda_0123456789876543210 _f_0123456789876543210 _z_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 t t where+ Lambda_0123456789876543210 _f_0123456789876543210 _z_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 n1_0123456789876543210 n2_0123456789876543210 = Apply (Apply (Apply FoldrSym0 _f_0123456789876543210) n2_0123456789876543210) n1_0123456789876543210+ type Lambda_0123456789876543210Sym8 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym7 t0123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym7KindInference) ())+ data Lambda_0123456789876543210Sym7 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym7KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym7 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210) arg) (Lambda_0123456789876543210Sym8 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym7 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym7 t0123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 t0123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym6 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym6KindInference) ())+ data Lambda_0123456789876543210Sym6 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym6KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym6 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym7 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym6 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym6 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) t0123456789876543210 = Lambda_0123456789876543210Sym7 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym5 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym5KindInference) ())+ data Lambda_0123456789876543210Sym5 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym5KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym5 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym6 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym5 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym5 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym6 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym4 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym4KindInference) ())+ data Lambda_0123456789876543210Sym4 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym4KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym4 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym5 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym4 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym4 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym5 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym3KindInference) ())+ data Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym3KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym4 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym4 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym3 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210) _z_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 _f_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall _f_01234567898765432100123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 _f_01234567898765432100123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 _f_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210+ type family Lambda_0123456789876543210 _f_0123456789876543210 _z_0123456789876543210 n1_0123456789876543210 n2_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 t t where+ Lambda_0123456789876543210 _f_0123456789876543210 _z_0123456789876543210 n1_0123456789876543210 n2_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 n1_0123456789876543210 n2_0123456789876543210 = Apply (Apply (Apply FoldrSym0 _f_0123456789876543210) n2_0123456789876543210) n1_0123456789876543210+ type Lambda_0123456789876543210Sym10 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym9 t0123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym9KindInference) ())+ data Lambda_0123456789876543210Sym9 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym9KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ n1_01234567898765432100123456789876543210+ n2_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym9 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210) arg) (Lambda_0123456789876543210Sym10 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym9 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym9 t0123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 t0123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym8 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym8KindInference) ())+ data Lambda_0123456789876543210Sym8 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym8KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ n1_01234567898765432100123456789876543210+ n2_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym8 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym9 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym8 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym8 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) t0123456789876543210 = Lambda_0123456789876543210Sym9 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym7 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym7KindInference) ())+ data Lambda_0123456789876543210Sym7 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym7KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ n1_01234567898765432100123456789876543210+ n2_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym7 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym8 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym7 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym7 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym8 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym6 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym6KindInference) ())+ data Lambda_0123456789876543210Sym6 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym6KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ n1_01234567898765432100123456789876543210+ n2_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym6 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym7 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym6 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym6 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym7 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym5 a_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym5KindInference) ())+ data Lambda_0123456789876543210Sym5 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym5KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ n1_01234567898765432100123456789876543210+ n2_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym5 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym6 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym5 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym5 a_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym6 a_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym4 n2_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym4KindInference) ())+ data Lambda_0123456789876543210Sym4 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym4KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ n1_01234567898765432100123456789876543210+ n2_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym4 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym5 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym4 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym4 n2_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym5 n2_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym3 n1_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym3KindInference) ())+ data Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym3KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ n1_01234567898765432100123456789876543210+ n2_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym4 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym3 n1_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) n2_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym4 n1_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 n2_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ n1_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) n1_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym3 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 n1_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210) _z_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 _f_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall _f_01234567898765432100123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 _f_01234567898765432100123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 _f_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210+ type family Lambda_0123456789876543210 _f_0123456789876543210 _z_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 t t where+ Lambda_0123456789876543210 _f_0123456789876543210 _z_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 n1_0123456789876543210 n2_0123456789876543210 = Apply (Apply (Apply FoldrSym0 (Apply (Apply (Apply (Apply (Apply (Apply (Apply (Apply Lambda_0123456789876543210Sym0 _f_0123456789876543210) _z_0123456789876543210) n1_0123456789876543210) n2_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210)) n2_0123456789876543210) n1_0123456789876543210+ type Lambda_0123456789876543210Sym8 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym7 t0123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym7KindInference) ())+ data Lambda_0123456789876543210Sym7 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym7KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym7 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210) arg) (Lambda_0123456789876543210Sym8 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym7 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym7 t0123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 t0123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym6 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym6KindInference) ())+ data Lambda_0123456789876543210Sym6 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym6KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym6 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym7 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym6 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym6 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) t0123456789876543210 = Lambda_0123456789876543210Sym7 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym5 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym5KindInference) ())+ data Lambda_0123456789876543210Sym5 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym5KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym5 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym6 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym5 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym5 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym6 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym4 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym4KindInference) ())+ data Lambda_0123456789876543210Sym4 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym4KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym4 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym5 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym4 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym4 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym5 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym3KindInference) ())+ data Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym3KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym4 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym4 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym3 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210) _z_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 _f_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall _f_01234567898765432100123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 _f_01234567898765432100123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 _f_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210+ type family Lambda_0123456789876543210 _f_0123456789876543210 _z_0123456789876543210 a_0123456789876543210 t t where+ Lambda_0123456789876543210 _f_0123456789876543210 _z_0123456789876543210 a_0123456789876543210 n1_0123456789876543210 n2_0123456789876543210 = n2_0123456789876543210+ type Lambda_0123456789876543210Sym5 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym4 t0123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym4KindInference) ())+ data Lambda_0123456789876543210Sym4 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym4KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym4 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210) arg) (Lambda_0123456789876543210Sym5 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym4 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym4 t0123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 t0123456789876543210 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym3KindInference) ())+ data Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym3KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym4 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) t0123456789876543210 = Lambda_0123456789876543210Sym4 a_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym3 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym3 _z_01234567898765432100123456789876543210 _f_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall _f_01234567898765432100123456789876543210+ _z_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210) _z_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym2 _f_01234567898765432100123456789876543210 _z_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 _f_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall _f_01234567898765432100123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 _f_01234567898765432100123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 _f_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym1 _f_01234567898765432100123456789876543210+ type family Foldr_0123456789876543210 (a :: (~>) a ((~>) b b)) (a :: b) (a :: T x a) :: b where+ Foldr_0123456789876543210 _f_0123456789876543210 _z_0123456789876543210 (MkT1 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210) = Apply (Apply (Apply (Apply (Apply (Apply (Apply (Apply Lambda_0123456789876543210Sym0 _f_0123456789876543210) _z_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210) (Apply (Apply _f_0123456789876543210 a_0123456789876543210) (Apply (Apply (Apply (Apply (Apply (Apply (Apply (Apply Lambda_0123456789876543210Sym0 _f_0123456789876543210) _z_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210) (Apply (Apply (Apply (Apply (Apply (Apply (Apply (Apply Lambda_0123456789876543210Sym0 _f_0123456789876543210) _z_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210) _z_0123456789876543210)))+ Foldr_0123456789876543210 _f_0123456789876543210 _z_0123456789876543210 (MkT2 a_0123456789876543210) = Apply (Apply (Apply (Apply (Apply Lambda_0123456789876543210Sym0 _f_0123456789876543210) _z_0123456789876543210) a_0123456789876543210) a_0123456789876543210) _z_0123456789876543210+ type Foldr_0123456789876543210Sym3 (a0123456789876543210 :: (~>) a0123456789876543210 ((~>) b0123456789876543210 b0123456789876543210)) (a0123456789876543210 :: b0123456789876543210) (a0123456789876543210 :: T x0123456789876543210 a0123456789876543210) =+ Foldr_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Foldr_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Foldr_0123456789876543210Sym2KindInference) ())+ data Foldr_0123456789876543210Sym2 (a0123456789876543210 :: (~>) a0123456789876543210 ((~>) b0123456789876543210 b0123456789876543210)) (a0123456789876543210 :: b0123456789876543210) :: forall x0123456789876543210.+ (~>) (T x0123456789876543210 a0123456789876543210) b0123456789876543210+ where+ Foldr_0123456789876543210Sym2KindInference :: forall a0123456789876543210+ a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Foldr_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) arg) (Foldr_0123456789876543210Sym3 a0123456789876543210 a0123456789876543210 arg) =>+ Foldr_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210 a0123456789876543210+ type instance Apply (Foldr_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) a0123456789876543210 = Foldr_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Foldr_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Foldr_0123456789876543210Sym1KindInference) ())+ data Foldr_0123456789876543210Sym1 (a0123456789876543210 :: (~>) a0123456789876543210 ((~>) b0123456789876543210 b0123456789876543210)) :: forall x0123456789876543210.+ (~>) b0123456789876543210 ((~>) (T x0123456789876543210 a0123456789876543210) b0123456789876543210)+ where+ Foldr_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Foldr_0123456789876543210Sym1 a0123456789876543210) arg) (Foldr_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Foldr_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Foldr_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = Foldr_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Foldr_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Foldr_0123456789876543210Sym0KindInference) ())+ data Foldr_0123456789876543210Sym0 :: forall a0123456789876543210+ b0123456789876543210+ x0123456789876543210.+ (~>) ((~>) a0123456789876543210 ((~>) b0123456789876543210 b0123456789876543210)) ((~>) b0123456789876543210 ((~>) (T x0123456789876543210 a0123456789876543210) b0123456789876543210))+ where+ Foldr_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foldr_0123456789876543210Sym0 arg) (Foldr_0123456789876543210Sym1 arg) =>+ Foldr_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Foldr_0123456789876543210Sym0 a0123456789876543210 = Foldr_0123456789876543210Sym1 a0123456789876543210+ instance PFoldable (T x) where+ type FoldMap a a = Apply (Apply FoldMap_0123456789876543210Sym0 a) a+ type Foldr a a a = Apply (Apply (Apply Foldr_0123456789876543210Sym0 a) a) a+ type family Traverse_0123456789876543210 (a :: (~>) a (f b)) (a :: T x a) :: f (T x b) where+ Traverse_0123456789876543210 _f_0123456789876543210 (MkT1 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210) = Apply (Apply (<*>@#@$) (Apply (Apply (<*>@#@$) (Apply (Apply (Apply LiftA2Sym0 MkT1Sym0) (Apply PureSym0 a_0123456789876543210)) (Apply _f_0123456789876543210 a_0123456789876543210))) (Apply (Apply TraverseSym0 _f_0123456789876543210) a_0123456789876543210))) (Apply (Apply TraverseSym0 (Apply TraverseSym0 _f_0123456789876543210)) a_0123456789876543210)+ Traverse_0123456789876543210 _f_0123456789876543210 (MkT2 a_0123456789876543210) = Apply (Apply FmapSym0 MkT2Sym0) (Apply PureSym0 a_0123456789876543210)+ type Traverse_0123456789876543210Sym2 (a0123456789876543210 :: (~>) a0123456789876543210 (f0123456789876543210 b0123456789876543210)) (a0123456789876543210 :: T x0123456789876543210 a0123456789876543210) =+ Traverse_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Traverse_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Traverse_0123456789876543210Sym1KindInference) ())+ data Traverse_0123456789876543210Sym1 (a0123456789876543210 :: (~>) a0123456789876543210 (f0123456789876543210 b0123456789876543210)) :: forall x0123456789876543210.+ (~>) (T x0123456789876543210 a0123456789876543210) (f0123456789876543210 (T x0123456789876543210 b0123456789876543210))+ where+ Traverse_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Traverse_0123456789876543210Sym1 a0123456789876543210) arg) (Traverse_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Traverse_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Traverse_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = Traverse_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Traverse_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Traverse_0123456789876543210Sym0KindInference) ())+ data Traverse_0123456789876543210Sym0 :: forall a0123456789876543210+ b0123456789876543210+ f0123456789876543210+ x0123456789876543210.+ (~>) ((~>) a0123456789876543210 (f0123456789876543210 b0123456789876543210)) ((~>) (T x0123456789876543210 a0123456789876543210) (f0123456789876543210 (T x0123456789876543210 b0123456789876543210)))+ where+ Traverse_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Traverse_0123456789876543210Sym0 arg) (Traverse_0123456789876543210Sym1 arg) =>+ Traverse_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Traverse_0123456789876543210Sym0 a0123456789876543210 = Traverse_0123456789876543210Sym1 a0123456789876543210+ instance PTraversable (T x) where+ type Traverse a a = Apply (Apply Traverse_0123456789876543210Sym0 a) a+ type family Case_0123456789876543210 v_0123456789876543210 t where+ type family Fmap_0123456789876543210 (a :: (~>) a b) (a :: Empty a) :: Empty b where+ Fmap_0123456789876543210 _ v_0123456789876543210 = Case_0123456789876543210 v_0123456789876543210 v_0123456789876543210+ type Fmap_0123456789876543210Sym2 (a0123456789876543210 :: (~>) a0123456789876543210 b0123456789876543210) (a0123456789876543210 :: Empty a0123456789876543210) =+ Fmap_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Fmap_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Fmap_0123456789876543210Sym1KindInference) ())+ data Fmap_0123456789876543210Sym1 (a0123456789876543210 :: (~>) a0123456789876543210 b0123456789876543210) :: (~>) (Empty a0123456789876543210) (Empty b0123456789876543210)+ where+ Fmap_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Fmap_0123456789876543210Sym1 a0123456789876543210) arg) (Fmap_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Fmap_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Fmap_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = Fmap_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Fmap_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Fmap_0123456789876543210Sym0KindInference) ())+ data Fmap_0123456789876543210Sym0 :: forall a0123456789876543210+ b0123456789876543210.+ (~>) ((~>) a0123456789876543210 b0123456789876543210) ((~>) (Empty a0123456789876543210) (Empty b0123456789876543210))+ where+ Fmap_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Fmap_0123456789876543210Sym0 arg) (Fmap_0123456789876543210Sym1 arg) =>+ Fmap_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Fmap_0123456789876543210Sym0 a0123456789876543210 = Fmap_0123456789876543210Sym1 a0123456789876543210+ type family Case_0123456789876543210 v_0123456789876543210 t where+ type family TFHelper_0123456789876543210 (a :: a) (a :: Empty b) :: Empty a where+ TFHelper_0123456789876543210 _ v_0123456789876543210 = Case_0123456789876543210 v_0123456789876543210 v_0123456789876543210+ type TFHelper_0123456789876543210Sym2 (a0123456789876543210 :: a0123456789876543210) (a0123456789876543210 :: Empty b0123456789876543210) =+ TFHelper_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (TFHelper_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) TFHelper_0123456789876543210Sym1KindInference) ())+ data TFHelper_0123456789876543210Sym1 (a0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210.+ (~>) (Empty b0123456789876543210) (Empty a0123456789876543210)+ where+ TFHelper_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (TFHelper_0123456789876543210Sym1 a0123456789876543210) arg) (TFHelper_0123456789876543210Sym2 a0123456789876543210 arg) =>+ TFHelper_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (TFHelper_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = TFHelper_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings TFHelper_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) TFHelper_0123456789876543210Sym0KindInference) ())+ data TFHelper_0123456789876543210Sym0 :: forall a0123456789876543210+ b0123456789876543210.+ (~>) a0123456789876543210 ((~>) (Empty b0123456789876543210) (Empty a0123456789876543210))+ where+ TFHelper_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply TFHelper_0123456789876543210Sym0 arg) (TFHelper_0123456789876543210Sym1 arg) =>+ TFHelper_0123456789876543210Sym0 a0123456789876543210+ type instance Apply TFHelper_0123456789876543210Sym0 a0123456789876543210 = TFHelper_0123456789876543210Sym1 a0123456789876543210+ instance PFunctor Empty where+ type Fmap a a = Apply (Apply Fmap_0123456789876543210Sym0 a) a+ type (<$) a a = Apply (Apply TFHelper_0123456789876543210Sym0 a) a+ type family FoldMap_0123456789876543210 (a :: (~>) a m) (a :: Empty a) :: m where+ FoldMap_0123456789876543210 _ _ = MemptySym0+ type FoldMap_0123456789876543210Sym2 (a0123456789876543210 :: (~>) a0123456789876543210 m0123456789876543210) (a0123456789876543210 :: Empty a0123456789876543210) =+ FoldMap_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (FoldMap_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) FoldMap_0123456789876543210Sym1KindInference) ())+ data FoldMap_0123456789876543210Sym1 (a0123456789876543210 :: (~>) a0123456789876543210 m0123456789876543210) :: (~>) (Empty a0123456789876543210) m0123456789876543210+ where+ FoldMap_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (FoldMap_0123456789876543210Sym1 a0123456789876543210) arg) (FoldMap_0123456789876543210Sym2 a0123456789876543210 arg) =>+ FoldMap_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (FoldMap_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = FoldMap_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings FoldMap_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) FoldMap_0123456789876543210Sym0KindInference) ())+ data FoldMap_0123456789876543210Sym0 :: forall a0123456789876543210+ m0123456789876543210.+ (~>) ((~>) a0123456789876543210 m0123456789876543210) ((~>) (Empty a0123456789876543210) m0123456789876543210)+ where+ FoldMap_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply FoldMap_0123456789876543210Sym0 arg) (FoldMap_0123456789876543210Sym1 arg) =>+ FoldMap_0123456789876543210Sym0 a0123456789876543210+ type instance Apply FoldMap_0123456789876543210Sym0 a0123456789876543210 = FoldMap_0123456789876543210Sym1 a0123456789876543210+ instance PFoldable Empty where+ type FoldMap a a = Apply (Apply FoldMap_0123456789876543210Sym0 a) a+ type family Case_0123456789876543210 v_0123456789876543210 t where+ type family Traverse_0123456789876543210 (a :: (~>) a (f b)) (a :: Empty a) :: f (Empty b) where+ Traverse_0123456789876543210 _ v_0123456789876543210 = Apply PureSym0 (Case_0123456789876543210 v_0123456789876543210 v_0123456789876543210)+ type Traverse_0123456789876543210Sym2 (a0123456789876543210 :: (~>) a0123456789876543210 (f0123456789876543210 b0123456789876543210)) (a0123456789876543210 :: Empty a0123456789876543210) =+ Traverse_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Traverse_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Traverse_0123456789876543210Sym1KindInference) ())+ data Traverse_0123456789876543210Sym1 (a0123456789876543210 :: (~>) a0123456789876543210 (f0123456789876543210 b0123456789876543210)) :: (~>) (Empty a0123456789876543210) (f0123456789876543210 (Empty b0123456789876543210))+ where+ Traverse_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Traverse_0123456789876543210Sym1 a0123456789876543210) arg) (Traverse_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Traverse_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Traverse_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = Traverse_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Traverse_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Traverse_0123456789876543210Sym0KindInference) ())+ data Traverse_0123456789876543210Sym0 :: forall a0123456789876543210+ b0123456789876543210+ f0123456789876543210.+ (~>) ((~>) a0123456789876543210 (f0123456789876543210 b0123456789876543210)) ((~>) (Empty a0123456789876543210) (f0123456789876543210 (Empty b0123456789876543210)))+ where+ Traverse_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Traverse_0123456789876543210Sym0 arg) (Traverse_0123456789876543210Sym1 arg) =>+ Traverse_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Traverse_0123456789876543210Sym0 a0123456789876543210 = Traverse_0123456789876543210Sym1 a0123456789876543210+ instance PTraversable Empty where+ type Traverse a a = Apply (Apply Traverse_0123456789876543210Sym0 a) a+ data instance Sing :: T x a -> Type+ where+ SMkT1 :: forall x+ a+ (n :: x)+ (n :: a)+ (n :: Maybe a)+ (n :: Maybe (Maybe a)).+ (Sing (n :: x))+ -> (Sing (n :: a))+ -> (Sing (n :: Maybe a))+ -> (Sing (n :: Maybe (Maybe a))) -> Sing (MkT1 n n n n)+ SMkT2 :: forall x (n :: Maybe x).+ (Sing (n :: Maybe x)) -> Sing (MkT2 n)+ type ST = (Sing :: T x a -> Type)+ instance (SingKind x, SingKind a) => SingKind (T x a) where+ type Demote (T x a) = T (Demote x) (Demote a)+ fromSing (SMkT1 b b b b)+ = (((MkT1 (fromSing b)) (fromSing b)) (fromSing b)) (fromSing b)+ fromSing (SMkT2 b) = MkT2 (fromSing b)+ toSing+ (MkT1 (b :: Demote x)+ (b :: Demote a)+ (b :: Demote (Maybe a))+ (b :: Demote (Maybe (Maybe a))))+ = case+ ((((,,,) (toSing b :: SomeSing x)) (toSing b :: SomeSing a))+ (toSing b :: SomeSing (Maybe a)))+ (toSing b :: SomeSing (Maybe (Maybe a)))+ of {+ (,,,) (SomeSing c) (SomeSing c) (SomeSing c) (SomeSing c)+ -> SomeSing ((((SMkT1 c) c) c) c) }+ toSing (MkT2 (b :: Demote (Maybe x)))+ = case toSing b :: SomeSing (Maybe x) of {+ SomeSing c -> SomeSing (SMkT2 c) }+ data instance Sing :: Empty a -> Type+ type SEmpty = (Sing :: Empty a -> Type)+ instance SingKind a => SingKind (Empty a) where+ type Demote (Empty a) = Empty (Demote a)+ fromSing x = case x of+ toSing x = SomeSing (case x of)+ instance SFunctor (T x) where+ sFmap ::+ forall (a :: Type) (b :: Type) (t1 :: (~>) a b) (t2 :: T x a).+ Sing t1+ -> Sing t2+ -> Sing (Apply (Apply (FmapSym0 :: TyFun ((~>) a b) ((~>) (T x a) (T x b))+ -> Type) t1) t2)+ (%<$) ::+ forall (a :: Type) (b :: Type) (t1 :: a) (t2 :: T x b).+ Sing t1+ -> Sing t2+ -> Sing (Apply (Apply ((<$@#@$) :: TyFun a ((~>) (T x b) (T x a))+ -> Type) t1) t2)+ sFmap+ (_sf_0123456789876543210 :: Sing _f_0123456789876543210)+ (SMkT1 (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210))+ = (applySing+ ((applySing+ ((applySing+ ((applySing ((singFun4 @MkT1Sym0) SMkT1))+ ((applySing+ ((singFun1+ @(Apply (Apply (Apply (Apply (Apply Lambda_0123456789876543210Sym0 _f_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210))+ (\ sN_0123456789876543210+ -> case sN_0123456789876543210 of {+ (_ :: Sing n_0123456789876543210)+ -> sN_0123456789876543210 })))+ sA_0123456789876543210)))+ ((applySing _sf_0123456789876543210) sA_0123456789876543210)))+ ((applySing+ ((applySing ((singFun2 @FmapSym0) sFmap)) _sf_0123456789876543210))+ sA_0123456789876543210)))+ ((applySing+ ((applySing ((singFun2 @FmapSym0) sFmap))+ ((applySing ((singFun2 @FmapSym0) sFmap))+ _sf_0123456789876543210)))+ sA_0123456789876543210)+ sFmap+ (_sf_0123456789876543210 :: Sing _f_0123456789876543210)+ (SMkT2 (sA_0123456789876543210 :: Sing a_0123456789876543210))+ = (applySing ((singFun1 @MkT2Sym0) SMkT2))+ ((applySing+ ((singFun1+ @(Apply (Apply Lambda_0123456789876543210Sym0 _f_0123456789876543210) a_0123456789876543210))+ (\ sN_0123456789876543210+ -> case sN_0123456789876543210 of {+ (_ :: Sing n_0123456789876543210) -> sN_0123456789876543210 })))+ sA_0123456789876543210)+ (%<$)+ (_sz_0123456789876543210 :: Sing _z_0123456789876543210)+ (SMkT1 (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210))+ = (applySing+ ((applySing+ ((applySing+ ((applySing ((singFun4 @MkT1Sym0) SMkT1))+ ((applySing+ ((singFun1+ @(Apply (Apply (Apply (Apply (Apply Lambda_0123456789876543210Sym0 _z_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210))+ (\ sN_0123456789876543210+ -> case sN_0123456789876543210 of {+ (_ :: Sing n_0123456789876543210)+ -> sN_0123456789876543210 })))+ sA_0123456789876543210)))+ ((applySing+ ((singFun1+ @(Apply (Apply (Apply (Apply (Apply Lambda_0123456789876543210Sym0 _z_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210))+ (\ sN_0123456789876543210+ -> case sN_0123456789876543210 of {+ (_ :: Sing n_0123456789876543210) -> _sz_0123456789876543210 })))+ sA_0123456789876543210)))+ ((applySing+ ((applySing ((singFun2 @(<$@#@$)) (%<$))) _sz_0123456789876543210))+ sA_0123456789876543210)))+ ((applySing+ ((applySing ((singFun2 @FmapSym0) sFmap))+ ((applySing ((singFun2 @(<$@#@$)) (%<$)))+ _sz_0123456789876543210)))+ sA_0123456789876543210)+ (%<$)+ (_sz_0123456789876543210 :: Sing _z_0123456789876543210)+ (SMkT2 (sA_0123456789876543210 :: Sing a_0123456789876543210))+ = (applySing ((singFun1 @MkT2Sym0) SMkT2))+ ((applySing+ ((singFun1+ @(Apply (Apply Lambda_0123456789876543210Sym0 _z_0123456789876543210) a_0123456789876543210))+ (\ sN_0123456789876543210+ -> case sN_0123456789876543210 of {+ (_ :: Sing n_0123456789876543210) -> sN_0123456789876543210 })))+ sA_0123456789876543210)+ instance SFoldable (T x) where+ sFoldMap ::+ forall (m :: Type) (a :: Type) (t1 :: (~>) a m) (t2 :: T x a).+ SMonoid m =>+ Sing t1+ -> Sing t2+ -> Sing (Apply (Apply (FoldMapSym0 :: TyFun ((~>) a m) ((~>) (T x a) m)+ -> Type) t1) t2)+ sFoldr ::+ forall (a :: Type)+ (b :: Type)+ (t1 :: (~>) a ((~>) b b))+ (t2 :: b)+ (t3 :: T x a).+ Sing t1+ -> Sing t2+ -> Sing t3+ -> Sing (Apply (Apply (Apply (FoldrSym0 :: TyFun ((~>) a ((~>) b b)) ((~>) b ((~>) (T x a) b))+ -> Type) t1) t2) t3)+ sFoldMap+ (_sf_0123456789876543210 :: Sing _f_0123456789876543210)+ (SMkT1 (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210))+ = (applySing+ ((applySing ((singFun2 @MappendSym0) sMappend))+ ((applySing+ ((singFun1+ @(Apply (Apply (Apply (Apply (Apply Lambda_0123456789876543210Sym0 _f_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210))+ (\ sN_0123456789876543210+ -> case sN_0123456789876543210 of {+ (_ :: Sing n_0123456789876543210) -> sMempty })))+ sA_0123456789876543210)))+ ((applySing+ ((applySing ((singFun2 @MappendSym0) sMappend))+ ((applySing _sf_0123456789876543210) sA_0123456789876543210)))+ ((applySing+ ((applySing ((singFun2 @MappendSym0) sMappend))+ ((applySing+ ((applySing ((singFun2 @FoldMapSym0) sFoldMap))+ _sf_0123456789876543210))+ sA_0123456789876543210)))+ ((applySing+ ((applySing ((singFun2 @FoldMapSym0) sFoldMap))+ ((applySing ((singFun2 @FoldMapSym0) sFoldMap))+ _sf_0123456789876543210)))+ sA_0123456789876543210)))+ sFoldMap+ (_sf_0123456789876543210 :: Sing _f_0123456789876543210)+ (SMkT2 (sA_0123456789876543210 :: Sing a_0123456789876543210))+ = (applySing+ ((singFun1+ @(Apply (Apply Lambda_0123456789876543210Sym0 _f_0123456789876543210) a_0123456789876543210))+ (\ sN_0123456789876543210+ -> case sN_0123456789876543210 of {+ (_ :: Sing n_0123456789876543210) -> sMempty })))+ sA_0123456789876543210+ sFoldr+ (_sf_0123456789876543210 :: Sing _f_0123456789876543210)+ (_sz_0123456789876543210 :: Sing _z_0123456789876543210)+ (SMkT1 (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210))+ = (applySing+ ((applySing+ ((singFun2+ @(Apply (Apply (Apply (Apply (Apply (Apply Lambda_0123456789876543210Sym0 _f_0123456789876543210) _z_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210))+ (\ sN1_0123456789876543210 sN2_0123456789876543210+ -> case ((,) sN1_0123456789876543210) sN2_0123456789876543210 of {+ (,) (_ :: Sing n1_0123456789876543210)+ (_ :: Sing n2_0123456789876543210)+ -> sN2_0123456789876543210 })))+ sA_0123456789876543210))+ ((applySing+ ((applySing _sf_0123456789876543210) sA_0123456789876543210))+ ((applySing+ ((applySing+ ((singFun2+ @(Apply (Apply (Apply (Apply (Apply (Apply Lambda_0123456789876543210Sym0 _f_0123456789876543210) _z_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210))+ (\ sN1_0123456789876543210 sN2_0123456789876543210+ -> case ((,) sN1_0123456789876543210) sN2_0123456789876543210 of {+ (,) (_ :: Sing n1_0123456789876543210)+ (_ :: Sing n2_0123456789876543210)+ -> (applySing+ ((applySing+ ((applySing ((singFun3 @FoldrSym0) sFoldr))+ _sf_0123456789876543210))+ sN2_0123456789876543210))+ sN1_0123456789876543210 })))+ sA_0123456789876543210))+ ((applySing+ ((applySing+ ((singFun2+ @(Apply (Apply (Apply (Apply (Apply (Apply Lambda_0123456789876543210Sym0 _f_0123456789876543210) _z_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210))+ (\ sN1_0123456789876543210 sN2_0123456789876543210+ -> case ((,) sN1_0123456789876543210) sN2_0123456789876543210 of {+ (,) (_ :: Sing n1_0123456789876543210)+ (_ :: Sing n2_0123456789876543210)+ -> (applySing+ ((applySing+ ((applySing ((singFun3 @FoldrSym0) sFoldr))+ ((singFun2+ @(Apply (Apply (Apply (Apply (Apply (Apply (Apply (Apply Lambda_0123456789876543210Sym0 _f_0123456789876543210) _z_0123456789876543210) n1_0123456789876543210) n2_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210))+ (\ sN1_0123456789876543210+ sN2_0123456789876543210+ -> case+ ((,) sN1_0123456789876543210)+ sN2_0123456789876543210+ of {+ (,) (_ :: Sing n1_0123456789876543210)+ (_ :: Sing n2_0123456789876543210)+ -> (applySing+ ((applySing+ ((applySing+ ((singFun3+ @FoldrSym0)+ sFoldr))+ _sf_0123456789876543210))+ sN2_0123456789876543210))+ sN1_0123456789876543210 }))))+ sN2_0123456789876543210))+ sN1_0123456789876543210 })))+ sA_0123456789876543210))+ _sz_0123456789876543210)))+ sFoldr+ (_sf_0123456789876543210 :: Sing _f_0123456789876543210)+ (_sz_0123456789876543210 :: Sing _z_0123456789876543210)+ (SMkT2 (sA_0123456789876543210 :: Sing a_0123456789876543210))+ = (applySing+ ((applySing+ ((singFun2+ @(Apply (Apply (Apply Lambda_0123456789876543210Sym0 _f_0123456789876543210) _z_0123456789876543210) a_0123456789876543210))+ (\ sN1_0123456789876543210 sN2_0123456789876543210+ -> case ((,) sN1_0123456789876543210) sN2_0123456789876543210 of {+ (,) (_ :: Sing n1_0123456789876543210)+ (_ :: Sing n2_0123456789876543210)+ -> sN2_0123456789876543210 })))+ sA_0123456789876543210))+ _sz_0123456789876543210+ instance STraversable (T x) where+ sTraverse ::+ forall (f :: Type -> Type)+ (a :: Type)+ (b :: Type)+ (t1 :: (~>) a (f b))+ (t2 :: T x a).+ SApplicative f =>+ Sing t1+ -> Sing t2+ -> Sing (Apply (Apply (TraverseSym0 :: TyFun ((~>) a (f b)) ((~>) (T x a) (f (T x b)))+ -> Type) t1) t2)+ sTraverse+ (_sf_0123456789876543210 :: Sing _f_0123456789876543210)+ (SMkT1 (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210))+ = (applySing+ ((applySing ((singFun2 @(<*>@#@$)) (%<*>)))+ ((applySing+ ((applySing ((singFun2 @(<*>@#@$)) (%<*>)))+ ((applySing+ ((applySing+ ((applySing ((singFun3 @LiftA2Sym0) sLiftA2))+ ((singFun4 @MkT1Sym0) SMkT1)))+ ((applySing ((singFun1 @PureSym0) sPure)) sA_0123456789876543210)))+ ((applySing _sf_0123456789876543210) sA_0123456789876543210))))+ ((applySing+ ((applySing ((singFun2 @TraverseSym0) sTraverse))+ _sf_0123456789876543210))+ sA_0123456789876543210))))+ ((applySing+ ((applySing ((singFun2 @TraverseSym0) sTraverse))+ ((applySing ((singFun2 @TraverseSym0) sTraverse))+ _sf_0123456789876543210)))+ sA_0123456789876543210)+ sTraverse+ (_sf_0123456789876543210 :: Sing _f_0123456789876543210)+ (SMkT2 (sA_0123456789876543210 :: Sing a_0123456789876543210))+ = (applySing+ ((applySing ((singFun2 @FmapSym0) sFmap))+ ((singFun1 @MkT2Sym0) SMkT2)))+ ((applySing ((singFun1 @PureSym0) sPure)) sA_0123456789876543210)+ instance SFunctor Empty where+ sFmap ::+ forall (a :: Type) (b :: Type) (t1 :: (~>) a b) (t2 :: Empty a).+ Sing t1+ -> Sing t2+ -> Sing (Apply (Apply (FmapSym0 :: TyFun ((~>) a b) ((~>) (Empty a) (Empty b))+ -> Type) t1) t2)+ (%<$) ::+ forall (a :: Type) (b :: Type) (t1 :: a) (t2 :: Empty b).+ Sing t1+ -> Sing t2+ -> Sing (Apply (Apply ((<$@#@$) :: TyFun a ((~>) (Empty b) (Empty a))+ -> Type) t1) t2)+ sFmap _ (sV_0123456789876543210 :: Sing v_0123456789876543210)+ = (case sV_0123456789876543210 of) ::+ Sing (Case_0123456789876543210 v_0123456789876543210 v_0123456789876543210)+ (%<$) _ (sV_0123456789876543210 :: Sing v_0123456789876543210)+ = (case sV_0123456789876543210 of) ::+ Sing (Case_0123456789876543210 v_0123456789876543210 v_0123456789876543210)+ instance SFoldable Empty where+ sFoldMap ::+ forall (m :: Type) (a :: Type) (t1 :: (~>) a m) (t2 :: Empty a).+ SMonoid m =>+ Sing t1+ -> Sing t2+ -> Sing (Apply (Apply (FoldMapSym0 :: TyFun ((~>) a m) ((~>) (Empty a) m)+ -> Type) t1) t2)+ sFoldMap _ _ = sMempty+ instance STraversable Empty where+ sTraverse ::+ forall (f :: Type -> Type)+ (a :: Type)+ (b :: Type)+ (t1 :: (~>) a (f b))+ (t2 :: Empty a).+ SApplicative f =>+ Sing t1+ -> Sing t2+ -> Sing (Apply (Apply (TraverseSym0 :: TyFun ((~>) a (f b)) ((~>) (Empty a) (f (Empty b)))+ -> Type) t1) t2)+ sTraverse _ (sV_0123456789876543210 :: Sing v_0123456789876543210)+ = (applySing ((singFun1 @PureSym0) sPure))+ ((case sV_0123456789876543210 of) ::+ Sing (Case_0123456789876543210 v_0123456789876543210 v_0123456789876543210))+ instance (SingI n, SingI n, SingI n, SingI n) =>+ SingI (MkT1 (n :: x) (n :: a) (n :: Maybe a) (n :: Maybe (Maybe a))) where+ sing = (((SMkT1 sing) sing) sing) sing+ instance SingI (MkT1Sym0 :: (~>) x ((~>) a ((~>) (Maybe a) ((~>) (Maybe (Maybe a)) (T x a))))) where+ sing = (singFun4 @MkT1Sym0) SMkT1+ instance SingI (TyCon4 MkT1 :: (~>) x ((~>) a ((~>) (Maybe a) ((~>) (Maybe (Maybe a)) (T x a))))) where+ sing = (singFun4 @(TyCon4 MkT1)) SMkT1+ instance SingI d =>+ SingI (MkT1Sym1 (d :: x) :: (~>) a ((~>) (Maybe a) ((~>) (Maybe (Maybe a)) (T x a)))) where+ sing = (singFun3 @(MkT1Sym1 (d :: x))) (SMkT1 (sing @d))+ instance SingI d =>+ SingI (TyCon3 (MkT1 (d :: x)) :: (~>) a ((~>) (Maybe a) ((~>) (Maybe (Maybe a)) (T x a)))) where+ sing = (singFun3 @(TyCon3 (MkT1 (d :: x)))) (SMkT1 (sing @d))+ instance (SingI d, SingI d) =>+ SingI (MkT1Sym2 (d :: x) (d :: a) :: (~>) (Maybe a) ((~>) (Maybe (Maybe a)) (T x a))) where+ sing+ = (singFun2 @(MkT1Sym2 (d :: x) (d :: a)))+ ((SMkT1 (sing @d)) (sing @d))+ instance (SingI d, SingI d) =>+ SingI (TyCon2 (MkT1 (d :: x) (d :: a)) :: (~>) (Maybe a) ((~>) (Maybe (Maybe a)) (T x a))) where+ sing+ = (singFun2 @(TyCon2 (MkT1 (d :: x) (d :: a))))+ ((SMkT1 (sing @d)) (sing @d))+ instance (SingI d, SingI d, SingI d) =>+ SingI (MkT1Sym3 (d :: x) (d :: a) (d :: Maybe a) :: (~>) (Maybe (Maybe a)) (T x a)) where+ sing+ = (singFun1 @(MkT1Sym3 (d :: x) (d :: a) (d :: Maybe a)))+ (((SMkT1 (sing @d)) (sing @d)) (sing @d))+ instance (SingI d, SingI d, SingI d) =>+ SingI (TyCon1 (MkT1 (d :: x) (d :: a) (d :: Maybe a)) :: (~>) (Maybe (Maybe a)) (T x a)) where+ sing+ = (singFun1 @(TyCon1 (MkT1 (d :: x) (d :: a) (d :: Maybe a))))+ (((SMkT1 (sing @d)) (sing @d)) (sing @d))+ instance SingI n => SingI (MkT2 (n :: Maybe x)) where+ sing = SMkT2 sing+ instance SingI (MkT2Sym0 :: (~>) (Maybe x) (T x a)) where+ sing = (singFun1 @MkT2Sym0) SMkT2+ instance SingI (TyCon1 MkT2 :: (~>) (Maybe x) (T x a)) where+ sing = (singFun1 @(TyCon1 MkT2)) SMkT2
+ tests/compile-and-dump/Singletons/FunctorLikeDeriving.hs view
@@ -0,0 +1,17 @@+{-# LANGUAGE DeriveTraversable #-}+-- Ensure that we can derive Functor, Foldable, and Traversable using only+-- an import of Data.Singletons.TH+module FunctorLikeDeriving where++import Data.Kind+import Data.Singletons.TH++$(singletons [d|+ data T x a+ = MkT1 x a (Maybe a) (Maybe (Maybe a))+ | MkT2 (Maybe x)+ deriving (Functor, Foldable, Traversable)++ data Empty (a :: Type)+ deriving (Functor, Foldable, Traversable)+ |])
− tests/compile-and-dump/Singletons/HigherOrder.ghc84.template
@@ -1,424 +0,0 @@-Singletons/HigherOrder.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| map :: (a -> b) -> [a] -> [b]- map _ [] = []- map f (h : t) = (f h) : (map f t)- liftMaybe :: (a -> b) -> Maybe a -> Maybe b- liftMaybe f (Just x) = Just (f x)- liftMaybe _ Nothing = Nothing- zipWith :: (a -> b -> c) -> [a] -> [b] -> [c]- zipWith f (x : xs) (y : ys) = f x y : zipWith f xs ys- zipWith _ [] [] = []- zipWith _ (_ : _) [] = []- zipWith _ [] (_ : _) = []- foo :: ((a -> b) -> a -> b) -> (a -> b) -> a -> b- foo f g a = f g a- splunge :: [Nat] -> [Bool] -> [Nat]- splunge ns bs- = zipWith (\ n b -> if b then Succ (Succ n) else n) ns bs- etad :: [Nat] -> [Bool] -> [Nat]- etad = zipWith (\ n b -> if b then Succ (Succ n) else n)- - data Either a b = Left a | Right b |]- ======>- data Either a b = Left a | Right b- map :: (a -> b) -> [a] -> [b]- map _ GHC.Types.[] = []- map f (h GHC.Types.: t) = ((f h) GHC.Types.: ((map f) t))- liftMaybe :: (a -> b) -> Maybe a -> Maybe b- liftMaybe f (Just x) = Just (f x)- liftMaybe _ Nothing = Nothing- zipWith :: (a -> b -> c) -> [a] -> [b] -> [c]- zipWith f (x GHC.Types.: xs) (y GHC.Types.: ys)- = (((f x) y) GHC.Types.: (((zipWith f) xs) ys))- zipWith _ GHC.Types.[] GHC.Types.[] = []- zipWith _ (_ GHC.Types.: _) GHC.Types.[] = []- zipWith _ GHC.Types.[] (_ GHC.Types.: _) = []- foo :: ((a -> b) -> a -> b) -> (a -> b) -> a -> b- foo f g a = (f g) a- splunge :: [Nat] -> [Bool] -> [Nat]- splunge ns bs- = ((zipWith (\ n b -> if b then Succ (Succ n) else n)) ns) bs- etad :: [Nat] -> [Bool] -> [Nat]- etad = zipWith (\ n b -> if b then Succ (Succ n) else n)- type LeftSym1 (t :: a0123456789876543210) = Left t- instance SuppressUnusedWarnings LeftSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) LeftSym0KindInference) GHC.Tuple.())- data LeftSym0 (l :: TyFun a0123456789876543210 (Either a0123456789876543210 b0123456789876543210))- = forall arg. SameKind (Apply LeftSym0 arg) (LeftSym1 arg) =>- LeftSym0KindInference- type instance Apply LeftSym0 l = Left l- type RightSym1 (t :: b0123456789876543210) = Right t- instance SuppressUnusedWarnings RightSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) RightSym0KindInference) GHC.Tuple.())- data RightSym0 (l :: TyFun b0123456789876543210 (Either a0123456789876543210 b0123456789876543210))- = forall arg. SameKind (Apply RightSym0 arg) (RightSym1 arg) =>- RightSym0KindInference- type instance Apply RightSym0 l = Right l- type family Case_0123456789876543210 ns bs n b t where- Case_0123456789876543210 ns bs n b True = Apply SuccSym0 (Apply SuccSym0 n)- Case_0123456789876543210 ns bs n b False = n- type family Lambda_0123456789876543210 ns bs t t where- Lambda_0123456789876543210 ns bs n b = Case_0123456789876543210 ns bs n b b- type Lambda_0123456789876543210Sym4 t t t t =- Lambda_0123456789876543210 t t t t- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym3 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym3KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym3 l l l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym3 l l l) arg) (Lambda_0123456789876543210Sym4 l l l arg) =>- Lambda_0123456789876543210Sym3KindInference- type instance Apply (Lambda_0123456789876543210Sym3 l l l) l = Lambda_0123456789876543210 l l l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym2 l l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym2 l l) arg) (Lambda_0123456789876543210Sym3 l l arg) =>- Lambda_0123456789876543210Sym2KindInference- type instance Apply (Lambda_0123456789876543210Sym2 l l) l = Lambda_0123456789876543210Sym3 l l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym1 l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym1 l) arg) (Lambda_0123456789876543210Sym2 l arg) =>- Lambda_0123456789876543210Sym1KindInference- type instance Apply (Lambda_0123456789876543210Sym1 l) l = Lambda_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym0 l- = forall arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>- Lambda_0123456789876543210Sym0KindInference- type instance Apply Lambda_0123456789876543210Sym0 l = Lambda_0123456789876543210Sym1 l- type family Case_0123456789876543210 n b a_0123456789876543210 a_0123456789876543210 t where- Case_0123456789876543210 n b a_0123456789876543210 a_0123456789876543210 True = Apply SuccSym0 (Apply SuccSym0 n)- Case_0123456789876543210 n b a_0123456789876543210 a_0123456789876543210 False = n- type family Lambda_0123456789876543210 a_0123456789876543210 a_0123456789876543210 t t where- Lambda_0123456789876543210 a_0123456789876543210 a_0123456789876543210 n b = Case_0123456789876543210 n b a_0123456789876543210 a_0123456789876543210 b- type Lambda_0123456789876543210Sym4 t t t t =- Lambda_0123456789876543210 t t t t- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym3 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym3KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym3 l l l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym3 l l l) arg) (Lambda_0123456789876543210Sym4 l l l arg) =>- Lambda_0123456789876543210Sym3KindInference- type instance Apply (Lambda_0123456789876543210Sym3 l l l) l = Lambda_0123456789876543210 l l l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym2 l l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym2 l l) arg) (Lambda_0123456789876543210Sym3 l l arg) =>- Lambda_0123456789876543210Sym2KindInference- type instance Apply (Lambda_0123456789876543210Sym2 l l) l = Lambda_0123456789876543210Sym3 l l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym1 l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym1 l) arg) (Lambda_0123456789876543210Sym2 l arg) =>- Lambda_0123456789876543210Sym1KindInference- type instance Apply (Lambda_0123456789876543210Sym1 l) l = Lambda_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym0 l- = forall arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>- Lambda_0123456789876543210Sym0KindInference- type instance Apply Lambda_0123456789876543210Sym0 l = Lambda_0123456789876543210Sym1 l- type FooSym3 (t :: TyFun (TyFun a0123456789876543210 b0123456789876543210- -> GHC.Types.Type) (TyFun a0123456789876543210 b0123456789876543210- -> GHC.Types.Type)- -> GHC.Types.Type) (t :: TyFun a0123456789876543210 b0123456789876543210- -> GHC.Types.Type) (t :: a0123456789876543210) =- Foo t t t- instance SuppressUnusedWarnings FooSym2 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) FooSym2KindInference) GHC.Tuple.())- data FooSym2 (l :: TyFun (TyFun a0123456789876543210 b0123456789876543210- -> GHC.Types.Type) (TyFun a0123456789876543210 b0123456789876543210- -> GHC.Types.Type)- -> GHC.Types.Type) (l :: TyFun a0123456789876543210 b0123456789876543210- -> GHC.Types.Type) (l :: TyFun a0123456789876543210 b0123456789876543210)- = forall arg. SameKind (Apply (FooSym2 l l) arg) (FooSym3 l l arg) =>- FooSym2KindInference- type instance Apply (FooSym2 l l) l = Foo l l l- instance SuppressUnusedWarnings FooSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) FooSym1KindInference) GHC.Tuple.())- data FooSym1 (l :: TyFun (TyFun a0123456789876543210 b0123456789876543210- -> GHC.Types.Type) (TyFun a0123456789876543210 b0123456789876543210- -> GHC.Types.Type)- -> GHC.Types.Type) (l :: TyFun (TyFun a0123456789876543210 b0123456789876543210- -> GHC.Types.Type) (TyFun a0123456789876543210 b0123456789876543210- -> GHC.Types.Type))- = forall arg. SameKind (Apply (FooSym1 l) arg) (FooSym2 l arg) =>- FooSym1KindInference- type instance Apply (FooSym1 l) l = FooSym2 l l- instance SuppressUnusedWarnings FooSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) FooSym0KindInference) GHC.Tuple.())- data FooSym0 (l :: TyFun (TyFun (TyFun a0123456789876543210 b0123456789876543210- -> GHC.Types.Type) (TyFun a0123456789876543210 b0123456789876543210- -> GHC.Types.Type)- -> GHC.Types.Type) (TyFun (TyFun a0123456789876543210 b0123456789876543210- -> GHC.Types.Type) (TyFun a0123456789876543210 b0123456789876543210- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply FooSym0 arg) (FooSym1 arg) =>- FooSym0KindInference- type instance Apply FooSym0 l = FooSym1 l- type ZipWithSym3 (t :: TyFun a0123456789876543210 (TyFun b0123456789876543210 c0123456789876543210- -> GHC.Types.Type)- -> GHC.Types.Type) (t :: [a0123456789876543210]) (t :: [b0123456789876543210]) =- ZipWith t t t- instance SuppressUnusedWarnings ZipWithSym2 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) ZipWithSym2KindInference) GHC.Tuple.())- data ZipWithSym2 (l :: TyFun a0123456789876543210 (TyFun b0123456789876543210 c0123456789876543210- -> GHC.Types.Type)- -> GHC.Types.Type) (l :: [a0123456789876543210]) (l :: TyFun [b0123456789876543210] [c0123456789876543210])- = forall arg. SameKind (Apply (ZipWithSym2 l l) arg) (ZipWithSym3 l l arg) =>- ZipWithSym2KindInference- type instance Apply (ZipWithSym2 l l) l = ZipWith l l l- instance SuppressUnusedWarnings ZipWithSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) ZipWithSym1KindInference) GHC.Tuple.())- data ZipWithSym1 (l :: TyFun a0123456789876543210 (TyFun b0123456789876543210 c0123456789876543210- -> GHC.Types.Type)- -> GHC.Types.Type) (l :: TyFun [a0123456789876543210] (TyFun [b0123456789876543210] [c0123456789876543210]- -> GHC.Types.Type))- = forall arg. SameKind (Apply (ZipWithSym1 l) arg) (ZipWithSym2 l arg) =>- ZipWithSym1KindInference- type instance Apply (ZipWithSym1 l) l = ZipWithSym2 l l- instance SuppressUnusedWarnings ZipWithSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) ZipWithSym0KindInference) GHC.Tuple.())- data ZipWithSym0 (l :: TyFun (TyFun a0123456789876543210 (TyFun b0123456789876543210 c0123456789876543210- -> GHC.Types.Type)- -> GHC.Types.Type) (TyFun [a0123456789876543210] (TyFun [b0123456789876543210] [c0123456789876543210]- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply ZipWithSym0 arg) (ZipWithSym1 arg) =>- ZipWithSym0KindInference- type instance Apply ZipWithSym0 l = ZipWithSym1 l- type SplungeSym2 (t :: [Nat]) (t :: [Bool]) = Splunge t t- instance SuppressUnusedWarnings SplungeSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) SplungeSym1KindInference) GHC.Tuple.())- data SplungeSym1 (l :: [Nat]) (l :: TyFun [Bool] [Nat])- = forall arg. SameKind (Apply (SplungeSym1 l) arg) (SplungeSym2 l arg) =>- SplungeSym1KindInference- type instance Apply (SplungeSym1 l) l = Splunge l l- instance SuppressUnusedWarnings SplungeSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) SplungeSym0KindInference) GHC.Tuple.())- data SplungeSym0 (l :: TyFun [Nat] (TyFun [Bool] [Nat]- -> GHC.Types.Type))- = forall arg. SameKind (Apply SplungeSym0 arg) (SplungeSym1 arg) =>- SplungeSym0KindInference- type instance Apply SplungeSym0 l = SplungeSym1 l- type EtadSym2 (t :: [Nat]) (t :: [Bool]) = Etad t t- instance SuppressUnusedWarnings EtadSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) EtadSym1KindInference) GHC.Tuple.())- data EtadSym1 (l :: [Nat]) (l :: TyFun [Bool] [Nat])- = forall arg. SameKind (Apply (EtadSym1 l) arg) (EtadSym2 l arg) =>- EtadSym1KindInference- type instance Apply (EtadSym1 l) l = Etad l l- instance SuppressUnusedWarnings EtadSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) EtadSym0KindInference) GHC.Tuple.())- data EtadSym0 (l :: TyFun [Nat] (TyFun [Bool] [Nat]- -> GHC.Types.Type))- = forall arg. SameKind (Apply EtadSym0 arg) (EtadSym1 arg) =>- EtadSym0KindInference- type instance Apply EtadSym0 l = EtadSym1 l- type LiftMaybeSym2 (t :: TyFun a0123456789876543210 b0123456789876543210- -> GHC.Types.Type) (t :: Maybe a0123456789876543210) =- LiftMaybe t t- instance SuppressUnusedWarnings LiftMaybeSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) LiftMaybeSym1KindInference) GHC.Tuple.())- data LiftMaybeSym1 (l :: TyFun a0123456789876543210 b0123456789876543210- -> GHC.Types.Type) (l :: TyFun (Maybe a0123456789876543210) (Maybe b0123456789876543210))- = forall arg. SameKind (Apply (LiftMaybeSym1 l) arg) (LiftMaybeSym2 l arg) =>- LiftMaybeSym1KindInference- type instance Apply (LiftMaybeSym1 l) l = LiftMaybe l l- instance SuppressUnusedWarnings LiftMaybeSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) LiftMaybeSym0KindInference) GHC.Tuple.())- data LiftMaybeSym0 (l :: TyFun (TyFun a0123456789876543210 b0123456789876543210- -> GHC.Types.Type) (TyFun (Maybe a0123456789876543210) (Maybe b0123456789876543210)- -> GHC.Types.Type))- = forall arg. SameKind (Apply LiftMaybeSym0 arg) (LiftMaybeSym1 arg) =>- LiftMaybeSym0KindInference- type instance Apply LiftMaybeSym0 l = LiftMaybeSym1 l- type MapSym2 (t :: TyFun a0123456789876543210 b0123456789876543210- -> GHC.Types.Type) (t :: [a0123456789876543210]) =- Map t t- instance SuppressUnusedWarnings MapSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) MapSym1KindInference) GHC.Tuple.())- data MapSym1 (l :: TyFun a0123456789876543210 b0123456789876543210- -> GHC.Types.Type) (l :: TyFun [a0123456789876543210] [b0123456789876543210])- = forall arg. SameKind (Apply (MapSym1 l) arg) (MapSym2 l arg) =>- MapSym1KindInference- type instance Apply (MapSym1 l) l = Map l l- instance SuppressUnusedWarnings MapSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) MapSym0KindInference) GHC.Tuple.())- data MapSym0 (l :: TyFun (TyFun a0123456789876543210 b0123456789876543210- -> GHC.Types.Type) (TyFun [a0123456789876543210] [b0123456789876543210]- -> GHC.Types.Type))- = forall arg. SameKind (Apply MapSym0 arg) (MapSym1 arg) =>- MapSym0KindInference- type instance Apply MapSym0 l = MapSym1 l- type family Foo (a :: TyFun (TyFun a b- -> GHC.Types.Type) (TyFun a b -> GHC.Types.Type)- -> GHC.Types.Type) (a :: TyFun a b- -> GHC.Types.Type) (a :: a) :: b where- Foo f g a = Apply (Apply f g) a- type family ZipWith (a :: TyFun a (TyFun b c -> GHC.Types.Type)- -> GHC.Types.Type) (a :: [a]) (a :: [b]) :: [c] where- ZipWith f ((:) x xs) ((:) y ys) = Apply (Apply (:@#@$) (Apply (Apply f x) y)) (Apply (Apply (Apply ZipWithSym0 f) xs) ys)- ZipWith _ '[] '[] = '[]- ZipWith _ ((:) _ _) '[] = '[]- ZipWith _ '[] ((:) _ _) = '[]- type family Splunge (a :: [Nat]) (a :: [Bool]) :: [Nat] where- Splunge ns bs = Apply (Apply (Apply ZipWithSym0 (Apply (Apply Lambda_0123456789876543210Sym0 ns) bs)) ns) bs- type family Etad (a :: [Nat]) (a :: [Bool]) :: [Nat] where- Etad a_0123456789876543210 a_0123456789876543210 = Apply (Apply (Apply ZipWithSym0 (Apply (Apply Lambda_0123456789876543210Sym0 a_0123456789876543210) a_0123456789876543210)) a_0123456789876543210) a_0123456789876543210- type family LiftMaybe (a :: TyFun a b- -> GHC.Types.Type) (a :: Maybe a) :: Maybe b where- LiftMaybe f (Just x) = Apply JustSym0 (Apply f x)- LiftMaybe _ Nothing = NothingSym0- type family Map (a :: TyFun a b- -> GHC.Types.Type) (a :: [a]) :: [b] where- Map _ '[] = '[]- Map f ((:) h t) = Apply (Apply (:@#@$) (Apply f h)) (Apply (Apply MapSym0 f) t)- sFoo ::- forall (t :: TyFun (TyFun a b -> GHC.Types.Type) (TyFun a b- -> GHC.Types.Type)- -> GHC.Types.Type)- (t :: TyFun a b -> GHC.Types.Type)- (t :: a).- Sing t- -> Sing t- -> Sing t -> Sing (Apply (Apply (Apply FooSym0 t) t) t :: b)- sZipWith ::- forall (t :: TyFun a (TyFun b c -> GHC.Types.Type)- -> GHC.Types.Type)- (t :: [a])- (t :: [b]).- Sing t- -> Sing t- -> Sing t -> Sing (Apply (Apply (Apply ZipWithSym0 t) t) t :: [c])- sSplunge ::- forall (t :: [Nat]) (t :: [Bool]).- Sing t -> Sing t -> Sing (Apply (Apply SplungeSym0 t) t :: [Nat])- sEtad ::- forall (t :: [Nat]) (t :: [Bool]).- Sing t -> Sing t -> Sing (Apply (Apply EtadSym0 t) t :: [Nat])- sLiftMaybe ::- forall (t :: TyFun a b -> GHC.Types.Type) (t :: Maybe a).- Sing t- -> Sing t -> Sing (Apply (Apply LiftMaybeSym0 t) t :: Maybe b)- sMap ::- forall (t :: TyFun a b -> GHC.Types.Type) (t :: [a]).- Sing t -> Sing t -> Sing (Apply (Apply MapSym0 t) t :: [b])- sFoo (sF :: Sing f) (sG :: Sing g) (sA :: Sing a)- = (applySing ((applySing sF) sG)) sA- sZipWith- (sF :: Sing f)- (SCons (sX :: Sing x) (sXs :: Sing xs))- (SCons (sY :: Sing y) (sYs :: Sing ys))- = (applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing ((applySing sF) sX)) sY)))- ((applySing- ((applySing ((applySing ((singFun3 @ZipWithSym0) sZipWith)) sF))- sXs))- sYs)- sZipWith _ SNil SNil = SNil- sZipWith _ (SCons _ _) SNil = SNil- sZipWith _ SNil (SCons _ _) = SNil- sSplunge (sNs :: Sing ns) (sBs :: Sing bs)- = (applySing- ((applySing- ((applySing ((singFun3 @ZipWithSym0) sZipWith))- ((singFun2 @(Apply (Apply Lambda_0123456789876543210Sym0 ns) bs))- (\ sN sB- -> case (GHC.Tuple.(,) sN) sB of {- GHC.Tuple.(,) (_ :: Sing n) (_ :: Sing b)- -> case sB of- STrue- -> (applySing ((singFun1 @SuccSym0) SSucc))- ((applySing ((singFun1 @SuccSym0) SSucc)) sN)- SFalse -> sN ::- Sing (Case_0123456789876543210 ns bs n b b) }))))- sNs))- sBs- sEtad- (sA_0123456789876543210 :: Sing a_0123456789876543210)- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing- ((applySing ((singFun3 @ZipWithSym0) sZipWith))- ((singFun2- @(Apply (Apply Lambda_0123456789876543210Sym0 a_0123456789876543210) a_0123456789876543210))- (\ sN sB- -> case (GHC.Tuple.(,) sN) sB of {- GHC.Tuple.(,) (_ :: Sing n) (_ :: Sing b)- -> case sB of- STrue- -> (applySing ((singFun1 @SuccSym0) SSucc))- ((applySing ((singFun1 @SuccSym0) SSucc)) sN)- SFalse -> sN ::- Sing (Case_0123456789876543210 n b a_0123456789876543210 a_0123456789876543210 b) }))))- sA_0123456789876543210))- sA_0123456789876543210- sLiftMaybe (sF :: Sing f) (SJust (sX :: Sing x))- = (applySing ((singFun1 @JustSym0) SJust)) ((applySing sF) sX)- sLiftMaybe _ SNothing = SNothing- sMap _ SNil = SNil- sMap (sF :: Sing f) (SCons (sH :: Sing h) (sT :: Sing t))- = (applySing- ((applySing ((singFun2 @(:@#@$)) SCons)) ((applySing sF) sH)))- ((applySing ((applySing ((singFun2 @MapSym0) sMap)) sF)) sT)- data instance Sing (z :: Either a b)- where- SLeft :: forall (n :: a). (Sing (n :: a)) -> Sing (Left n)- SRight :: forall (n :: b). (Sing (n :: b)) -> Sing (Right n)- type SEither = (Sing :: Either a b -> GHC.Types.Type)- instance (SingKind a, SingKind b) => SingKind (Either a b) where- type Demote (Either a b) = Either (Demote a) (Demote b)- fromSing (SLeft b) = Left (fromSing b)- fromSing (SRight b) = Right (fromSing b)- toSing (Left (b :: Demote a))- = case toSing b :: SomeSing a of {- SomeSing c -> SomeSing (SLeft c) }- toSing (Right (b :: Demote b))- = case toSing b :: SomeSing b of {- SomeSing c -> SomeSing (SRight c) }- instance SingI n => SingI (Left (n :: a)) where- sing = SLeft sing- instance SingI n => SingI (Right (n :: b)) where- sing = SRight sing
+ tests/compile-and-dump/Singletons/HigherOrder.ghc86.template view
@@ -0,0 +1,480 @@+Singletons/HigherOrder.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| map :: (a -> b) -> [a] -> [b]+ map _ [] = []+ map f (h : t) = (f h) : (map f t)+ liftMaybe :: (a -> b) -> Maybe a -> Maybe b+ liftMaybe f (Just x) = Just (f x)+ liftMaybe _ Nothing = Nothing+ zipWith :: (a -> b -> c) -> [a] -> [b] -> [c]+ zipWith f (x : xs) (y : ys) = f x y : zipWith f xs ys+ zipWith _ [] [] = []+ zipWith _ (_ : _) [] = []+ zipWith _ [] (_ : _) = []+ foo :: ((a -> b) -> a -> b) -> (a -> b) -> a -> b+ foo f g a = f g a+ splunge :: [Nat] -> [Bool] -> [Nat]+ splunge ns bs+ = zipWith (\ n b -> if b then Succ (Succ n) else n) ns bs+ etad :: [Nat] -> [Bool] -> [Nat]+ etad = zipWith (\ n b -> if b then Succ (Succ n) else n)+ + data Either a b = Left a | Right b |]+ ======>+ data Either a b = Left a | Right b+ map :: (a -> b) -> [a] -> [b]+ map _ [] = []+ map f (h : t) = (f h : (map f) t)+ liftMaybe :: (a -> b) -> Maybe a -> Maybe b+ liftMaybe f (Just x) = Just (f x)+ liftMaybe _ Nothing = Nothing+ zipWith :: (a -> b -> c) -> [a] -> [b] -> [c]+ zipWith f (x : xs) (y : ys) = ((f x) y : ((zipWith f) xs) ys)+ zipWith _ [] [] = []+ zipWith _ (_ : _) [] = []+ zipWith _ [] (_ : _) = []+ foo :: ((a -> b) -> a -> b) -> (a -> b) -> a -> b+ foo f g a = (f g) a+ splunge :: [Nat] -> [Bool] -> [Nat]+ splunge ns bs+ = ((zipWith (\ n b -> if b then Succ (Succ n) else n)) ns) bs+ etad :: [Nat] -> [Bool] -> [Nat]+ etad = zipWith (\ n b -> if b then Succ (Succ n) else n)+ type LeftSym1 (t0123456789876543210 :: a0123456789876543210) =+ Left t0123456789876543210+ instance SuppressUnusedWarnings LeftSym0 where+ suppressUnusedWarnings = snd (((,) LeftSym0KindInference) ())+ data LeftSym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) a0123456789876543210 (Either a0123456789876543210 b0123456789876543210)+ where+ LeftSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply LeftSym0 arg) (LeftSym1 arg) =>+ LeftSym0 t0123456789876543210+ type instance Apply LeftSym0 t0123456789876543210 = Left t0123456789876543210+ type RightSym1 (t0123456789876543210 :: b0123456789876543210) =+ Right t0123456789876543210+ instance SuppressUnusedWarnings RightSym0 where+ suppressUnusedWarnings = snd (((,) RightSym0KindInference) ())+ data RightSym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) b0123456789876543210 (Either a0123456789876543210 b0123456789876543210)+ where+ RightSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply RightSym0 arg) (RightSym1 arg) =>+ RightSym0 t0123456789876543210+ type instance Apply RightSym0 t0123456789876543210 = Right t0123456789876543210+ type family Case_0123456789876543210 ns bs n b t where+ Case_0123456789876543210 ns bs n b 'True = Apply SuccSym0 (Apply SuccSym0 n)+ Case_0123456789876543210 ns bs n b 'False = n+ type family Lambda_0123456789876543210 ns bs t t where+ Lambda_0123456789876543210 ns bs n b = Case_0123456789876543210 ns bs n b b+ type Lambda_0123456789876543210Sym4 ns0123456789876543210 bs0123456789876543210 t0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 ns0123456789876543210 bs0123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym3 t0123456789876543210 bs0123456789876543210 ns0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym3KindInference) ())+ data Lambda_0123456789876543210Sym3 ns0123456789876543210 bs0123456789876543210 t0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym3KindInference :: forall ns0123456789876543210+ bs0123456789876543210+ t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym3 ns0123456789876543210 bs0123456789876543210 t0123456789876543210) arg) (Lambda_0123456789876543210Sym4 ns0123456789876543210 bs0123456789876543210 t0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym3 ns0123456789876543210 bs0123456789876543210 t0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym3 t0123456789876543210 bs0123456789876543210 ns0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 t0123456789876543210 bs0123456789876543210 ns0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 bs0123456789876543210 ns0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 ns0123456789876543210 bs0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall ns0123456789876543210+ bs0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 ns0123456789876543210 bs0123456789876543210) arg) (Lambda_0123456789876543210Sym3 ns0123456789876543210 bs0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 ns0123456789876543210 bs0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 bs0123456789876543210 ns0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210Sym3 bs0123456789876543210 ns0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 ns0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 ns0123456789876543210 bs0123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall ns0123456789876543210+ bs0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 ns0123456789876543210) arg) (Lambda_0123456789876543210Sym2 ns0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 ns0123456789876543210 bs0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 ns0123456789876543210) bs0123456789876543210 = Lambda_0123456789876543210Sym2 ns0123456789876543210 bs0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 ns0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall ns0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 ns0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 ns0123456789876543210 = Lambda_0123456789876543210Sym1 ns0123456789876543210+ type family Case_0123456789876543210 n b a_0123456789876543210 a_0123456789876543210 t where+ Case_0123456789876543210 n b a_0123456789876543210 a_0123456789876543210 'True = Apply SuccSym0 (Apply SuccSym0 n)+ Case_0123456789876543210 n b a_0123456789876543210 a_0123456789876543210 'False = n+ type family Lambda_0123456789876543210 a_0123456789876543210 a_0123456789876543210 t t where+ Lambda_0123456789876543210 a_0123456789876543210 a_0123456789876543210 n b = Case_0123456789876543210 n b a_0123456789876543210 a_0123456789876543210 b+ type Lambda_0123456789876543210Sym4 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym3 t0123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym3KindInference) ())+ data Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym3KindInference :: forall a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210) arg) (Lambda_0123456789876543210Sym4 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym3 t0123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 t0123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) t0123456789876543210 = Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 a_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 a_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall a_01234567898765432100123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 a_01234567898765432100123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym1 a_01234567898765432100123456789876543210+ type FooSym3 (a0123456789876543210 :: (~>) ((~>) a0123456789876543210 b0123456789876543210) ((~>) a0123456789876543210 b0123456789876543210)) (a0123456789876543210 :: (~>) a0123456789876543210 b0123456789876543210) (a0123456789876543210 :: a0123456789876543210) =+ Foo a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (FooSym2 a0123456789876543210 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) FooSym2KindInference) ())+ data FooSym2 (a0123456789876543210 :: (~>) ((~>) a0123456789876543210 b0123456789876543210) ((~>) a0123456789876543210 b0123456789876543210)) (a0123456789876543210 :: (~>) a0123456789876543210 b0123456789876543210) :: (~>) a0123456789876543210 b0123456789876543210+ where+ FooSym2KindInference :: forall a0123456789876543210+ a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (FooSym2 a0123456789876543210 a0123456789876543210) arg) (FooSym3 a0123456789876543210 a0123456789876543210 arg) =>+ FooSym2 a0123456789876543210 a0123456789876543210 a0123456789876543210+ type instance Apply (FooSym2 a0123456789876543210 a0123456789876543210) a0123456789876543210 = Foo a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (FooSym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) FooSym1KindInference) ())+ data FooSym1 (a0123456789876543210 :: (~>) ((~>) a0123456789876543210 b0123456789876543210) ((~>) a0123456789876543210 b0123456789876543210)) :: (~>) ((~>) a0123456789876543210 b0123456789876543210) ((~>) a0123456789876543210 b0123456789876543210)+ where+ FooSym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (FooSym1 a0123456789876543210) arg) (FooSym2 a0123456789876543210 arg) =>+ FooSym1 a0123456789876543210 a0123456789876543210+ type instance Apply (FooSym1 a0123456789876543210) a0123456789876543210 = FooSym2 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings FooSym0 where+ suppressUnusedWarnings = snd (((,) FooSym0KindInference) ())+ data FooSym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) ((~>) ((~>) a0123456789876543210 b0123456789876543210) ((~>) a0123456789876543210 b0123456789876543210)) ((~>) ((~>) a0123456789876543210 b0123456789876543210) ((~>) a0123456789876543210 b0123456789876543210))+ where+ FooSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply FooSym0 arg) (FooSym1 arg) =>+ FooSym0 a0123456789876543210+ type instance Apply FooSym0 a0123456789876543210 = FooSym1 a0123456789876543210+ type ZipWithSym3 (a0123456789876543210 :: (~>) a0123456789876543210 ((~>) b0123456789876543210 c0123456789876543210)) (a0123456789876543210 :: [a0123456789876543210]) (a0123456789876543210 :: [b0123456789876543210]) =+ ZipWith a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ZipWithSym2 a0123456789876543210 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) ZipWithSym2KindInference) ())+ data ZipWithSym2 (a0123456789876543210 :: (~>) a0123456789876543210 ((~>) b0123456789876543210 c0123456789876543210)) (a0123456789876543210 :: [a0123456789876543210]) :: (~>) [b0123456789876543210] [c0123456789876543210]+ where+ ZipWithSym2KindInference :: forall a0123456789876543210+ a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ZipWithSym2 a0123456789876543210 a0123456789876543210) arg) (ZipWithSym3 a0123456789876543210 a0123456789876543210 arg) =>+ ZipWithSym2 a0123456789876543210 a0123456789876543210 a0123456789876543210+ type instance Apply (ZipWithSym2 a0123456789876543210 a0123456789876543210) a0123456789876543210 = ZipWith a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ZipWithSym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) ZipWithSym1KindInference) ())+ data ZipWithSym1 (a0123456789876543210 :: (~>) a0123456789876543210 ((~>) b0123456789876543210 c0123456789876543210)) :: (~>) [a0123456789876543210] ((~>) [b0123456789876543210] [c0123456789876543210])+ where+ ZipWithSym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ZipWithSym1 a0123456789876543210) arg) (ZipWithSym2 a0123456789876543210 arg) =>+ ZipWithSym1 a0123456789876543210 a0123456789876543210+ type instance Apply (ZipWithSym1 a0123456789876543210) a0123456789876543210 = ZipWithSym2 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ZipWithSym0 where+ suppressUnusedWarnings = snd (((,) ZipWithSym0KindInference) ())+ data ZipWithSym0 :: forall a0123456789876543210+ b0123456789876543210+ c0123456789876543210.+ (~>) ((~>) a0123456789876543210 ((~>) b0123456789876543210 c0123456789876543210)) ((~>) [a0123456789876543210] ((~>) [b0123456789876543210] [c0123456789876543210]))+ where+ ZipWithSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply ZipWithSym0 arg) (ZipWithSym1 arg) =>+ ZipWithSym0 a0123456789876543210+ type instance Apply ZipWithSym0 a0123456789876543210 = ZipWithSym1 a0123456789876543210+ type SplungeSym2 (a0123456789876543210 :: [Nat]) (a0123456789876543210 :: [Bool]) =+ Splunge a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (SplungeSym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) SplungeSym1KindInference) ())+ data SplungeSym1 (a0123456789876543210 :: [Nat]) :: (~>) [Bool] [Nat]+ where+ SplungeSym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (SplungeSym1 a0123456789876543210) arg) (SplungeSym2 a0123456789876543210 arg) =>+ SplungeSym1 a0123456789876543210 a0123456789876543210+ type instance Apply (SplungeSym1 a0123456789876543210) a0123456789876543210 = Splunge a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings SplungeSym0 where+ suppressUnusedWarnings = snd (((,) SplungeSym0KindInference) ())+ data SplungeSym0 :: (~>) [Nat] ((~>) [Bool] [Nat])+ where+ SplungeSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply SplungeSym0 arg) (SplungeSym1 arg) =>+ SplungeSym0 a0123456789876543210+ type instance Apply SplungeSym0 a0123456789876543210 = SplungeSym1 a0123456789876543210+ type EtadSym2 (a0123456789876543210 :: [Nat]) (a0123456789876543210 :: [Bool]) =+ Etad a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (EtadSym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) EtadSym1KindInference) ())+ data EtadSym1 (a0123456789876543210 :: [Nat]) :: (~>) [Bool] [Nat]+ where+ EtadSym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (EtadSym1 a0123456789876543210) arg) (EtadSym2 a0123456789876543210 arg) =>+ EtadSym1 a0123456789876543210 a0123456789876543210+ type instance Apply (EtadSym1 a0123456789876543210) a0123456789876543210 = Etad a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings EtadSym0 where+ suppressUnusedWarnings = snd (((,) EtadSym0KindInference) ())+ data EtadSym0 :: (~>) [Nat] ((~>) [Bool] [Nat])+ where+ EtadSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply EtadSym0 arg) (EtadSym1 arg) =>+ EtadSym0 a0123456789876543210+ type instance Apply EtadSym0 a0123456789876543210 = EtadSym1 a0123456789876543210+ type LiftMaybeSym2 (a0123456789876543210 :: (~>) a0123456789876543210 b0123456789876543210) (a0123456789876543210 :: Maybe a0123456789876543210) =+ LiftMaybe a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (LiftMaybeSym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) LiftMaybeSym1KindInference) ())+ data LiftMaybeSym1 (a0123456789876543210 :: (~>) a0123456789876543210 b0123456789876543210) :: (~>) (Maybe a0123456789876543210) (Maybe b0123456789876543210)+ where+ LiftMaybeSym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (LiftMaybeSym1 a0123456789876543210) arg) (LiftMaybeSym2 a0123456789876543210 arg) =>+ LiftMaybeSym1 a0123456789876543210 a0123456789876543210+ type instance Apply (LiftMaybeSym1 a0123456789876543210) a0123456789876543210 = LiftMaybe a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings LiftMaybeSym0 where+ suppressUnusedWarnings = snd (((,) LiftMaybeSym0KindInference) ())+ data LiftMaybeSym0 :: forall a0123456789876543210+ b0123456789876543210.+ (~>) ((~>) a0123456789876543210 b0123456789876543210) ((~>) (Maybe a0123456789876543210) (Maybe b0123456789876543210))+ where+ LiftMaybeSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply LiftMaybeSym0 arg) (LiftMaybeSym1 arg) =>+ LiftMaybeSym0 a0123456789876543210+ type instance Apply LiftMaybeSym0 a0123456789876543210 = LiftMaybeSym1 a0123456789876543210+ type MapSym2 (a0123456789876543210 :: (~>) a0123456789876543210 b0123456789876543210) (a0123456789876543210 :: [a0123456789876543210]) =+ Map a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (MapSym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) MapSym1KindInference) ())+ data MapSym1 (a0123456789876543210 :: (~>) a0123456789876543210 b0123456789876543210) :: (~>) [a0123456789876543210] [b0123456789876543210]+ where+ MapSym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (MapSym1 a0123456789876543210) arg) (MapSym2 a0123456789876543210 arg) =>+ MapSym1 a0123456789876543210 a0123456789876543210+ type instance Apply (MapSym1 a0123456789876543210) a0123456789876543210 = Map a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings MapSym0 where+ suppressUnusedWarnings = snd (((,) MapSym0KindInference) ())+ data MapSym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) ((~>) a0123456789876543210 b0123456789876543210) ((~>) [a0123456789876543210] [b0123456789876543210])+ where+ MapSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply MapSym0 arg) (MapSym1 arg) =>+ MapSym0 a0123456789876543210+ type instance Apply MapSym0 a0123456789876543210 = MapSym1 a0123456789876543210+ type family Foo (a :: (~>) ((~>) a b) ((~>) a b)) (a :: (~>) a b) (a :: a) :: b where+ Foo f g a = Apply (Apply f g) a+ type family ZipWith (a :: (~>) a ((~>) b c)) (a :: [a]) (a :: [b]) :: [c] where+ ZipWith f ( '(:) x xs) ( '(:) y ys) = Apply (Apply (:@#@$) (Apply (Apply f x) y)) (Apply (Apply (Apply ZipWithSym0 f) xs) ys)+ ZipWith _ '[] '[] = '[]+ ZipWith _ ( '(:) _ _) '[] = '[]+ ZipWith _ '[] ( '(:) _ _) = '[]+ type family Splunge (a :: [Nat]) (a :: [Bool]) :: [Nat] where+ Splunge ns bs = Apply (Apply (Apply ZipWithSym0 (Apply (Apply Lambda_0123456789876543210Sym0 ns) bs)) ns) bs+ type family Etad (a :: [Nat]) (a :: [Bool]) :: [Nat] where+ Etad a_0123456789876543210 a_0123456789876543210 = Apply (Apply (Apply ZipWithSym0 (Apply (Apply Lambda_0123456789876543210Sym0 a_0123456789876543210) a_0123456789876543210)) a_0123456789876543210) a_0123456789876543210+ type family LiftMaybe (a :: (~>) a b) (a :: Maybe a) :: Maybe b where+ LiftMaybe f ( 'Just x) = Apply JustSym0 (Apply f x)+ LiftMaybe _ 'Nothing = NothingSym0+ type family Map (a :: (~>) a b) (a :: [a]) :: [b] where+ Map _ '[] = '[]+ Map f ( '(:) h t) = Apply (Apply (:@#@$) (Apply f h)) (Apply (Apply MapSym0 f) t)+ sFoo ::+ forall a+ b+ (t :: (~>) ((~>) a b) ((~>) a b))+ (t :: (~>) a b)+ (t :: a).+ Sing t+ -> Sing t+ -> Sing t -> Sing (Apply (Apply (Apply FooSym0 t) t) t :: b)+ sZipWith ::+ forall a b c (t :: (~>) a ((~>) b c)) (t :: [a]) (t :: [b]).+ Sing t+ -> Sing t+ -> Sing t -> Sing (Apply (Apply (Apply ZipWithSym0 t) t) t :: [c])+ sSplunge ::+ forall (t :: [Nat]) (t :: [Bool]).+ Sing t -> Sing t -> Sing (Apply (Apply SplungeSym0 t) t :: [Nat])+ sEtad ::+ forall (t :: [Nat]) (t :: [Bool]).+ Sing t -> Sing t -> Sing (Apply (Apply EtadSym0 t) t :: [Nat])+ sLiftMaybe ::+ forall a b (t :: (~>) a b) (t :: Maybe a).+ Sing t+ -> Sing t -> Sing (Apply (Apply LiftMaybeSym0 t) t :: Maybe b)+ sMap ::+ forall a b (t :: (~>) a b) (t :: [a]).+ Sing t -> Sing t -> Sing (Apply (Apply MapSym0 t) t :: [b])+ sFoo (sF :: Sing f) (sG :: Sing g) (sA :: Sing a)+ = (applySing ((applySing sF) sG)) sA+ sZipWith+ (sF :: Sing f)+ (SCons (sX :: Sing x) (sXs :: Sing xs))+ (SCons (sY :: Sing y) (sYs :: Sing ys))+ = (applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing ((applySing sF) sX)) sY)))+ ((applySing+ ((applySing ((applySing ((singFun3 @ZipWithSym0) sZipWith)) sF))+ sXs))+ sYs)+ sZipWith _ SNil SNil = SNil+ sZipWith _ (SCons _ _) SNil = SNil+ sZipWith _ SNil (SCons _ _) = SNil+ sSplunge (sNs :: Sing ns) (sBs :: Sing bs)+ = (applySing+ ((applySing+ ((applySing ((singFun3 @ZipWithSym0) sZipWith))+ ((singFun2 @(Apply (Apply Lambda_0123456789876543210Sym0 ns) bs))+ (\ sN sB+ -> case ((,) sN) sB of {+ (,) (_ :: Sing n) (_ :: Sing b)+ -> (case sB of+ STrue+ -> (applySing ((singFun1 @SuccSym0) SSucc))+ ((applySing ((singFun1 @SuccSym0) SSucc)) sN)+ SFalse -> sN) ::+ Sing (Case_0123456789876543210 ns bs n b b) }))))+ sNs))+ sBs+ sEtad+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing+ ((applySing ((singFun3 @ZipWithSym0) sZipWith))+ ((singFun2+ @(Apply (Apply Lambda_0123456789876543210Sym0 a_0123456789876543210) a_0123456789876543210))+ (\ sN sB+ -> case ((,) sN) sB of {+ (,) (_ :: Sing n) (_ :: Sing b)+ -> (case sB of+ STrue+ -> (applySing ((singFun1 @SuccSym0) SSucc))+ ((applySing ((singFun1 @SuccSym0) SSucc)) sN)+ SFalse -> sN) ::+ Sing (Case_0123456789876543210 n b a_0123456789876543210 a_0123456789876543210 b) }))))+ sA_0123456789876543210))+ sA_0123456789876543210+ sLiftMaybe (sF :: Sing f) (SJust (sX :: Sing x))+ = (applySing ((singFun1 @JustSym0) SJust)) ((applySing sF) sX)+ sLiftMaybe _ SNothing = SNothing+ sMap _ SNil = SNil+ sMap (sF :: Sing f) (SCons (sH :: Sing h) (sT :: Sing t))+ = (applySing+ ((applySing ((singFun2 @(:@#@$)) SCons)) ((applySing sF) sH)))+ ((applySing ((applySing ((singFun2 @MapSym0) sMap)) sF)) sT)+ instance SingI (FooSym0 :: (~>) ((~>) ((~>) a b) ((~>) a b)) ((~>) ((~>) a b) ((~>) a b))) where+ sing = (singFun3 @FooSym0) sFoo+ instance SingI d =>+ SingI (FooSym1 (d :: (~>) ((~>) a b) ((~>) a b)) :: (~>) ((~>) a b) ((~>) a b)) where+ sing+ = (singFun2 @(FooSym1 (d :: (~>) ((~>) a b) ((~>) a b))))+ (sFoo (sing @d))+ instance (SingI d, SingI d) =>+ SingI (FooSym2 (d :: (~>) ((~>) a b) ((~>) a b)) (d :: (~>) a b) :: (~>) a b) where+ sing+ = (singFun1+ @(FooSym2 (d :: (~>) ((~>) a b) ((~>) a b)) (d :: (~>) a b)))+ ((sFoo (sing @d)) (sing @d))+ instance SingI (ZipWithSym0 :: (~>) ((~>) a ((~>) b c)) ((~>) [a] ((~>) [b] [c]))) where+ sing = (singFun3 @ZipWithSym0) sZipWith+ instance SingI d =>+ SingI (ZipWithSym1 (d :: (~>) a ((~>) b c)) :: (~>) [a] ((~>) [b] [c])) where+ sing+ = (singFun2 @(ZipWithSym1 (d :: (~>) a ((~>) b c))))+ (sZipWith (sing @d))+ instance (SingI d, SingI d) =>+ SingI (ZipWithSym2 (d :: (~>) a ((~>) b c)) (d :: [a]) :: (~>) [b] [c]) where+ sing+ = (singFun1 @(ZipWithSym2 (d :: (~>) a ((~>) b c)) (d :: [a])))+ ((sZipWith (sing @d)) (sing @d))+ instance SingI (SplungeSym0 :: (~>) [Nat] ((~>) [Bool] [Nat])) where+ sing = (singFun2 @SplungeSym0) sSplunge+ instance SingI d =>+ SingI (SplungeSym1 (d :: [Nat]) :: (~>) [Bool] [Nat]) where+ sing = (singFun1 @(SplungeSym1 (d :: [Nat]))) (sSplunge (sing @d))+ instance SingI (EtadSym0 :: (~>) [Nat] ((~>) [Bool] [Nat])) where+ sing = (singFun2 @EtadSym0) sEtad+ instance SingI d =>+ SingI (EtadSym1 (d :: [Nat]) :: (~>) [Bool] [Nat]) where+ sing = (singFun1 @(EtadSym1 (d :: [Nat]))) (sEtad (sing @d))+ instance SingI (LiftMaybeSym0 :: (~>) ((~>) a b) ((~>) (Maybe a) (Maybe b))) where+ sing = (singFun2 @LiftMaybeSym0) sLiftMaybe+ instance SingI d =>+ SingI (LiftMaybeSym1 (d :: (~>) a b) :: (~>) (Maybe a) (Maybe b)) where+ sing+ = (singFun1 @(LiftMaybeSym1 (d :: (~>) a b)))+ (sLiftMaybe (sing @d))+ instance SingI (MapSym0 :: (~>) ((~>) a b) ((~>) [a] [b])) where+ sing = (singFun2 @MapSym0) sMap+ instance SingI d =>+ SingI (MapSym1 (d :: (~>) a b) :: (~>) [a] [b]) where+ sing = (singFun1 @(MapSym1 (d :: (~>) a b))) (sMap (sing @d))+ data instance Sing :: Either a b -> GHC.Types.Type+ where+ SLeft :: forall a (n :: a). (Sing (n :: a)) -> Sing (Left n)+ SRight :: forall b (n :: b). (Sing (n :: b)) -> Sing (Right n)+ type SEither = (Sing :: Either a b -> GHC.Types.Type)+ instance (SingKind a, SingKind b) => SingKind (Either a b) where+ type Demote (Either a b) = Either (Demote a) (Demote b)+ fromSing (SLeft b) = Left (fromSing b)+ fromSing (SRight b) = Right (fromSing b)+ toSing (Left (b :: Demote a))+ = case toSing b :: SomeSing a of {+ SomeSing c -> SomeSing (SLeft c) }+ toSing (Right (b :: Demote b))+ = case toSing b :: SomeSing b of {+ SomeSing c -> SomeSing (SRight c) }+ instance SingI n => SingI (Left (n :: a)) where+ sing = SLeft sing+ instance SingI (LeftSym0 :: (~>) a (Either a b)) where+ sing = (singFun1 @LeftSym0) SLeft+ instance SingI (TyCon1 Left :: (~>) a (Either a b)) where+ sing = (singFun1 @(TyCon1 Left)) SLeft+ instance SingI n => SingI (Right (n :: b)) where+ sing = SRight sing+ instance SingI (RightSym0 :: (~>) b (Either a b)) where+ sing = (singFun1 @RightSym0) SRight+ instance SingI (TyCon1 Right :: (~>) b (Either a b)) where+ sing = (singFun1 @(TyCon1 Right)) SRight
− tests/compile-and-dump/Singletons/LambdaCase.ghc84.template
@@ -1,221 +0,0 @@-Singletons/LambdaCase.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| foo1 :: a -> Maybe a -> a- foo1 d x- = (\case- Just y -> y- Nothing -> d)- x- foo2 :: a -> Maybe a -> a- foo2 d _- = (\case- Just y -> y- Nothing -> d)- (Just d)- foo3 :: a -> b -> a- foo3 a b = (\case (p, _) -> p) (a, b) |]- ======>- foo1 :: a -> Maybe a -> a- foo1 d x- = (\case- \ (Just y) -> y- \ Nothing -> d)- x- foo2 :: a -> Maybe a -> a- foo2 d _- = (\case- \ (Just y) -> y- \ Nothing -> d)- (Just d)- foo3 :: a -> b -> a- foo3 a b = (\case \ (p, _) -> p) (a, b)- type family Case_0123456789876543210 a b x_0123456789876543210 t where- Case_0123456789876543210 a b x_0123456789876543210 '(p, _) = p- type family Lambda_0123456789876543210 a b t where- Lambda_0123456789876543210 a b x_0123456789876543210 = Case_0123456789876543210 a b x_0123456789876543210 x_0123456789876543210- type Lambda_0123456789876543210Sym3 t t t =- Lambda_0123456789876543210 t t t- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym2 l l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym2 l l) arg) (Lambda_0123456789876543210Sym3 l l arg) =>- Lambda_0123456789876543210Sym2KindInference- type instance Apply (Lambda_0123456789876543210Sym2 l l) l = Lambda_0123456789876543210 l l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym1 l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym1 l) arg) (Lambda_0123456789876543210Sym2 l arg) =>- Lambda_0123456789876543210Sym1KindInference- type instance Apply (Lambda_0123456789876543210Sym1 l) l = Lambda_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym0 l- = forall arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>- Lambda_0123456789876543210Sym0KindInference- type instance Apply Lambda_0123456789876543210Sym0 l = Lambda_0123456789876543210Sym1 l- type family Case_0123456789876543210 d x_0123456789876543210 t where- Case_0123456789876543210 d x_0123456789876543210 (Just y) = y- Case_0123456789876543210 d x_0123456789876543210 Nothing = d- type family Lambda_0123456789876543210 d t where- Lambda_0123456789876543210 d x_0123456789876543210 = Case_0123456789876543210 d x_0123456789876543210 x_0123456789876543210- type Lambda_0123456789876543210Sym2 t t =- Lambda_0123456789876543210 t t- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym1 l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym1 l) arg) (Lambda_0123456789876543210Sym2 l arg) =>- Lambda_0123456789876543210Sym1KindInference- type instance Apply (Lambda_0123456789876543210Sym1 l) l = Lambda_0123456789876543210 l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym0 l- = forall arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>- Lambda_0123456789876543210Sym0KindInference- type instance Apply Lambda_0123456789876543210Sym0 l = Lambda_0123456789876543210Sym1 l- type family Case_0123456789876543210 d x x_0123456789876543210 t where- Case_0123456789876543210 d x x_0123456789876543210 (Just y) = y- Case_0123456789876543210 d x x_0123456789876543210 Nothing = d- type family Lambda_0123456789876543210 d x t where- Lambda_0123456789876543210 d x x_0123456789876543210 = Case_0123456789876543210 d x x_0123456789876543210 x_0123456789876543210- type Lambda_0123456789876543210Sym3 t t t =- Lambda_0123456789876543210 t t t- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym2 l l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym2 l l) arg) (Lambda_0123456789876543210Sym3 l l arg) =>- Lambda_0123456789876543210Sym2KindInference- type instance Apply (Lambda_0123456789876543210Sym2 l l) l = Lambda_0123456789876543210 l l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym1 l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym1 l) arg) (Lambda_0123456789876543210Sym2 l arg) =>- Lambda_0123456789876543210Sym1KindInference- type instance Apply (Lambda_0123456789876543210Sym1 l) l = Lambda_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym0 l- = forall arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>- Lambda_0123456789876543210Sym0KindInference- type instance Apply Lambda_0123456789876543210Sym0 l = Lambda_0123456789876543210Sym1 l- type Foo3Sym2 (t :: a0123456789876543210) (t :: b0123456789876543210) =- Foo3 t t- instance SuppressUnusedWarnings Foo3Sym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo3Sym1KindInference) GHC.Tuple.())- data Foo3Sym1 (l :: a0123456789876543210) (l :: TyFun b0123456789876543210 a0123456789876543210)- = forall arg. SameKind (Apply (Foo3Sym1 l) arg) (Foo3Sym2 l arg) =>- Foo3Sym1KindInference- type instance Apply (Foo3Sym1 l) l = Foo3 l l- instance SuppressUnusedWarnings Foo3Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo3Sym0KindInference) GHC.Tuple.())- data Foo3Sym0 (l :: TyFun a0123456789876543210 (TyFun b0123456789876543210 a0123456789876543210- -> GHC.Types.Type))- = forall arg. SameKind (Apply Foo3Sym0 arg) (Foo3Sym1 arg) =>- Foo3Sym0KindInference- type instance Apply Foo3Sym0 l = Foo3Sym1 l- type Foo2Sym2 (t :: a0123456789876543210) (t :: Maybe a0123456789876543210) =- Foo2 t t- instance SuppressUnusedWarnings Foo2Sym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo2Sym1KindInference) GHC.Tuple.())- data Foo2Sym1 (l :: a0123456789876543210) (l :: TyFun (Maybe a0123456789876543210) a0123456789876543210)- = forall arg. SameKind (Apply (Foo2Sym1 l) arg) (Foo2Sym2 l arg) =>- Foo2Sym1KindInference- type instance Apply (Foo2Sym1 l) l = Foo2 l l- instance SuppressUnusedWarnings Foo2Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo2Sym0KindInference) GHC.Tuple.())- data Foo2Sym0 (l :: TyFun a0123456789876543210 (TyFun (Maybe a0123456789876543210) a0123456789876543210- -> GHC.Types.Type))- = forall arg. SameKind (Apply Foo2Sym0 arg) (Foo2Sym1 arg) =>- Foo2Sym0KindInference- type instance Apply Foo2Sym0 l = Foo2Sym1 l- type Foo1Sym2 (t :: a0123456789876543210) (t :: Maybe a0123456789876543210) =- Foo1 t t- instance SuppressUnusedWarnings Foo1Sym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo1Sym1KindInference) GHC.Tuple.())- data Foo1Sym1 (l :: a0123456789876543210) (l :: TyFun (Maybe a0123456789876543210) a0123456789876543210)- = forall arg. SameKind (Apply (Foo1Sym1 l) arg) (Foo1Sym2 l arg) =>- Foo1Sym1KindInference- type instance Apply (Foo1Sym1 l) l = Foo1 l l- instance SuppressUnusedWarnings Foo1Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo1Sym0KindInference) GHC.Tuple.())- data Foo1Sym0 (l :: TyFun a0123456789876543210 (TyFun (Maybe a0123456789876543210) a0123456789876543210- -> GHC.Types.Type))- = forall arg. SameKind (Apply Foo1Sym0 arg) (Foo1Sym1 arg) =>- Foo1Sym0KindInference- type instance Apply Foo1Sym0 l = Foo1Sym1 l- type family Foo3 (a :: a) (a :: b) :: a where- Foo3 a b = Apply (Apply (Apply Lambda_0123456789876543210Sym0 a) b) (Apply (Apply Tuple2Sym0 a) b)- type family Foo2 (a :: a) (a :: Maybe a) :: a where- Foo2 d _ = Apply (Apply Lambda_0123456789876543210Sym0 d) (Apply JustSym0 d)- type family Foo1 (a :: a) (a :: Maybe a) :: a where- Foo1 d x = Apply (Apply (Apply Lambda_0123456789876543210Sym0 d) x) x- sFoo3 ::- forall (t :: a) (t :: b).- Sing t -> Sing t -> Sing (Apply (Apply Foo3Sym0 t) t :: a)- sFoo2 ::- forall (t :: a) (t :: Maybe a).- Sing t -> Sing t -> Sing (Apply (Apply Foo2Sym0 t) t :: a)- sFoo1 ::- forall (t :: a) (t :: Maybe a).- Sing t -> Sing t -> Sing (Apply (Apply Foo1Sym0 t) t :: a)- sFoo3 (sA :: Sing a) (sB :: Sing b)- = (applySing- ((singFun1 @(Apply (Apply Lambda_0123456789876543210Sym0 a) b))- (\ sX_0123456789876543210- -> case sX_0123456789876543210 of {- _ :: Sing x_0123456789876543210- -> case sX_0123456789876543210 of {- STuple2 (sP :: Sing p) _ -> sP } ::- Sing (Case_0123456789876543210 a b x_0123456789876543210 x_0123456789876543210) })))- ((applySing ((applySing ((singFun2 @Tuple2Sym0) STuple2)) sA)) sB)- sFoo2 (sD :: Sing d) _- = (applySing- ((singFun1 @(Apply Lambda_0123456789876543210Sym0 d))- (\ sX_0123456789876543210- -> case sX_0123456789876543210 of {- _ :: Sing x_0123456789876543210- -> case sX_0123456789876543210 of- SJust (sY :: Sing y) -> sY- SNothing -> sD ::- Sing (Case_0123456789876543210 d x_0123456789876543210 x_0123456789876543210) })))- ((applySing ((singFun1 @JustSym0) SJust)) sD)- sFoo1 (sD :: Sing d) (sX :: Sing x)- = (applySing- ((singFun1 @(Apply (Apply Lambda_0123456789876543210Sym0 d) x))- (\ sX_0123456789876543210- -> case sX_0123456789876543210 of {- _ :: Sing x_0123456789876543210- -> case sX_0123456789876543210 of- SJust (sY :: Sing y) -> sY- SNothing -> sD ::- Sing (Case_0123456789876543210 d x x_0123456789876543210 x_0123456789876543210) })))- sX
+ tests/compile-and-dump/Singletons/LambdaCase.ghc86.template view
@@ -0,0 +1,252 @@+Singletons/LambdaCase.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| foo1 :: a -> Maybe a -> a+ foo1 d x+ = (\case+ Just y -> y+ Nothing -> d)+ x+ foo2 :: a -> Maybe a -> a+ foo2 d _+ = (\case+ Just y -> y+ Nothing -> d)+ (Just d)+ foo3 :: a -> b -> a+ foo3 a b = (\case (p, _) -> p) (a, b) |]+ ======>+ foo1 :: a -> Maybe a -> a+ foo1 d x+ = (\case+ Just y -> y+ Nothing -> d)+ x+ foo2 :: a -> Maybe a -> a+ foo2 d _+ = (\case+ Just y -> y+ Nothing -> d)+ (Just d)+ foo3 :: a -> b -> a+ foo3 a b = (\case (p, _) -> p) (a, b)+ type family Case_0123456789876543210 a b x_0123456789876543210 t where+ Case_0123456789876543210 a b x_0123456789876543210 '(p, _) = p+ type family Lambda_0123456789876543210 a b t where+ Lambda_0123456789876543210 a b x_0123456789876543210 = Case_0123456789876543210 a b x_0123456789876543210 x_0123456789876543210+ type Lambda_0123456789876543210Sym3 a0123456789876543210 b0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 a0123456789876543210 b0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 b0123456789876543210 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 a0123456789876543210 b0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall a0123456789876543210+ b0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 a0123456789876543210 b0123456789876543210) arg) (Lambda_0123456789876543210Sym3 a0123456789876543210 b0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 a0123456789876543210 b0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 b0123456789876543210 a0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 b0123456789876543210 a0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 a0123456789876543210 b0123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ b0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 a0123456789876543210) arg) (Lambda_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 a0123456789876543210 b0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 a0123456789876543210) b0123456789876543210 = Lambda_0123456789876543210Sym2 a0123456789876543210 b0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 a0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 a0123456789876543210 = Lambda_0123456789876543210Sym1 a0123456789876543210+ type family Case_0123456789876543210 d x_0123456789876543210 t where+ Case_0123456789876543210 d x_0123456789876543210 ( 'Just y) = y+ Case_0123456789876543210 d x_0123456789876543210 'Nothing = d+ type family Lambda_0123456789876543210 d t where+ Lambda_0123456789876543210 d x_0123456789876543210 = Case_0123456789876543210 d x_0123456789876543210 x_0123456789876543210+ type Lambda_0123456789876543210Sym2 d0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 d0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 d0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 d0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall d0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 d0123456789876543210) arg) (Lambda_0123456789876543210Sym2 d0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 d0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 d0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 d0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 d0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall d0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 d0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 d0123456789876543210 = Lambda_0123456789876543210Sym1 d0123456789876543210+ type family Case_0123456789876543210 d x x_0123456789876543210 t where+ Case_0123456789876543210 d x x_0123456789876543210 ( 'Just y) = y+ Case_0123456789876543210 d x x_0123456789876543210 'Nothing = d+ type family Lambda_0123456789876543210 d x t where+ Lambda_0123456789876543210 d x x_0123456789876543210 = Case_0123456789876543210 d x x_0123456789876543210 x_0123456789876543210+ type Lambda_0123456789876543210Sym3 d0123456789876543210 x0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 d0123456789876543210 x0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 x0123456789876543210 d0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 d0123456789876543210 x0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall d0123456789876543210+ x0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 d0123456789876543210 x0123456789876543210) arg) (Lambda_0123456789876543210Sym3 d0123456789876543210 x0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 d0123456789876543210 x0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 x0123456789876543210 d0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 x0123456789876543210 d0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 d0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 d0123456789876543210 x0123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall d0123456789876543210+ x0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 d0123456789876543210) arg) (Lambda_0123456789876543210Sym2 d0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 d0123456789876543210 x0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 d0123456789876543210) x0123456789876543210 = Lambda_0123456789876543210Sym2 d0123456789876543210 x0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 d0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall d0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 d0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 d0123456789876543210 = Lambda_0123456789876543210Sym1 d0123456789876543210+ type Foo3Sym2 (a0123456789876543210 :: a0123456789876543210) (a0123456789876543210 :: b0123456789876543210) =+ Foo3 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Foo3Sym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) Foo3Sym1KindInference) ())+ data Foo3Sym1 (a0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210.+ (~>) b0123456789876543210 a0123456789876543210+ where+ Foo3Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Foo3Sym1 a0123456789876543210) arg) (Foo3Sym2 a0123456789876543210 arg) =>+ Foo3Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Foo3Sym1 a0123456789876543210) a0123456789876543210 = Foo3 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Foo3Sym0 where+ suppressUnusedWarnings = snd (((,) Foo3Sym0KindInference) ())+ data Foo3Sym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) a0123456789876543210 ((~>) b0123456789876543210 a0123456789876543210)+ where+ Foo3Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo3Sym0 arg) (Foo3Sym1 arg) =>+ Foo3Sym0 a0123456789876543210+ type instance Apply Foo3Sym0 a0123456789876543210 = Foo3Sym1 a0123456789876543210+ type Foo2Sym2 (a0123456789876543210 :: a0123456789876543210) (a0123456789876543210 :: Maybe a0123456789876543210) =+ Foo2 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Foo2Sym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) Foo2Sym1KindInference) ())+ data Foo2Sym1 (a0123456789876543210 :: a0123456789876543210) :: (~>) (Maybe a0123456789876543210) a0123456789876543210+ where+ Foo2Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Foo2Sym1 a0123456789876543210) arg) (Foo2Sym2 a0123456789876543210 arg) =>+ Foo2Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Foo2Sym1 a0123456789876543210) a0123456789876543210 = Foo2 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Foo2Sym0 where+ suppressUnusedWarnings = snd (((,) Foo2Sym0KindInference) ())+ data Foo2Sym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 ((~>) (Maybe a0123456789876543210) a0123456789876543210)+ where+ Foo2Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo2Sym0 arg) (Foo2Sym1 arg) =>+ Foo2Sym0 a0123456789876543210+ type instance Apply Foo2Sym0 a0123456789876543210 = Foo2Sym1 a0123456789876543210+ type Foo1Sym2 (a0123456789876543210 :: a0123456789876543210) (a0123456789876543210 :: Maybe a0123456789876543210) =+ Foo1 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Foo1Sym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) Foo1Sym1KindInference) ())+ data Foo1Sym1 (a0123456789876543210 :: a0123456789876543210) :: (~>) (Maybe a0123456789876543210) a0123456789876543210+ where+ Foo1Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Foo1Sym1 a0123456789876543210) arg) (Foo1Sym2 a0123456789876543210 arg) =>+ Foo1Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Foo1Sym1 a0123456789876543210) a0123456789876543210 = Foo1 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Foo1Sym0 where+ suppressUnusedWarnings = snd (((,) Foo1Sym0KindInference) ())+ data Foo1Sym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 ((~>) (Maybe a0123456789876543210) a0123456789876543210)+ where+ Foo1Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo1Sym0 arg) (Foo1Sym1 arg) =>+ Foo1Sym0 a0123456789876543210+ type instance Apply Foo1Sym0 a0123456789876543210 = Foo1Sym1 a0123456789876543210+ type family Foo3 (a :: a) (a :: b) :: a where+ Foo3 a b = Apply (Apply (Apply Lambda_0123456789876543210Sym0 a) b) (Apply (Apply Tuple2Sym0 a) b)+ type family Foo2 (a :: a) (a :: Maybe a) :: a where+ Foo2 d _ = Apply (Apply Lambda_0123456789876543210Sym0 d) (Apply JustSym0 d)+ type family Foo1 (a :: a) (a :: Maybe a) :: a where+ Foo1 d x = Apply (Apply (Apply Lambda_0123456789876543210Sym0 d) x) x+ sFoo3 ::+ forall a b (t :: a) (t :: b).+ Sing t -> Sing t -> Sing (Apply (Apply Foo3Sym0 t) t :: a)+ sFoo2 ::+ forall a (t :: a) (t :: Maybe a).+ Sing t -> Sing t -> Sing (Apply (Apply Foo2Sym0 t) t :: a)+ sFoo1 ::+ forall a (t :: a) (t :: Maybe a).+ Sing t -> Sing t -> Sing (Apply (Apply Foo1Sym0 t) t :: a)+ sFoo3 (sA :: Sing a) (sB :: Sing b)+ = (applySing+ ((singFun1 @(Apply (Apply Lambda_0123456789876543210Sym0 a) b))+ (\ sX_0123456789876543210+ -> case sX_0123456789876543210 of {+ (_ :: Sing x_0123456789876543210)+ -> (case sX_0123456789876543210 of {+ STuple2 (sP :: Sing p) _ -> sP }) ::+ Sing (Case_0123456789876543210 a b x_0123456789876543210 x_0123456789876543210) })))+ ((applySing ((applySing ((singFun2 @Tuple2Sym0) STuple2)) sA)) sB)+ sFoo2 (sD :: Sing d) _+ = (applySing+ ((singFun1 @(Apply Lambda_0123456789876543210Sym0 d))+ (\ sX_0123456789876543210+ -> case sX_0123456789876543210 of {+ (_ :: Sing x_0123456789876543210)+ -> (case sX_0123456789876543210 of+ SJust (sY :: Sing y) -> sY+ SNothing -> sD) ::+ Sing (Case_0123456789876543210 d x_0123456789876543210 x_0123456789876543210) })))+ ((applySing ((singFun1 @JustSym0) SJust)) sD)+ sFoo1 (sD :: Sing d) (sX :: Sing x)+ = (applySing+ ((singFun1 @(Apply (Apply Lambda_0123456789876543210Sym0 d) x))+ (\ sX_0123456789876543210+ -> case sX_0123456789876543210 of {+ (_ :: Sing x_0123456789876543210)+ -> (case sX_0123456789876543210 of+ SJust (sY :: Sing y) -> sY+ SNothing -> sD) ::+ Sing (Case_0123456789876543210 d x x_0123456789876543210 x_0123456789876543210) })))+ sX+ instance SingI (Foo3Sym0 :: (~>) a ((~>) b a)) where+ sing = (singFun2 @Foo3Sym0) sFoo3+ instance SingI d => SingI (Foo3Sym1 (d :: a) :: (~>) b a) where+ sing = (singFun1 @(Foo3Sym1 (d :: a))) (sFoo3 (sing @d))+ instance SingI (Foo2Sym0 :: (~>) a ((~>) (Maybe a) a)) where+ sing = (singFun2 @Foo2Sym0) sFoo2+ instance SingI d =>+ SingI (Foo2Sym1 (d :: a) :: (~>) (Maybe a) a) where+ sing = (singFun1 @(Foo2Sym1 (d :: a))) (sFoo2 (sing @d))+ instance SingI (Foo1Sym0 :: (~>) a ((~>) (Maybe a) a)) where+ sing = (singFun2 @Foo1Sym0) sFoo1+ instance SingI d =>+ SingI (Foo1Sym1 (d :: a) :: (~>) (Maybe a) a) where+ sing = (singFun1 @(Foo1Sym1 (d :: a))) (sFoo1 (sing @d))
− tests/compile-and-dump/Singletons/Lambdas.ghc84.template
@@ -1,704 +0,0 @@-Singletons/Lambdas.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| foo0 :: a -> b -> a- foo0 = (\ x y -> x)- foo1 :: a -> b -> a- foo1 x = (\ _ -> x)- foo2 :: a -> b -> a- foo2 x y = (\ _ -> x) y- foo3 :: a -> a- foo3 x = (\ y -> y) x- foo4 :: a -> b -> c -> a- foo4 x y z = (\ _ _ -> x) y z- foo5 :: a -> b -> b- foo5 x y = (\ x -> x) y- foo6 :: a -> b -> a- foo6 a b = (\ x -> \ _ -> x) a b- foo7 :: a -> b -> b- foo7 x y = (\ (_, b) -> b) (x, y)- foo8 :: Foo a b -> a- foo8 x = (\ (Foo a _) -> a) x- - data Foo a b = Foo a b |]- ======>- foo0 :: a -> b -> a- foo0 = \ x y -> x- foo1 :: a -> b -> a- foo1 x = \ _ -> x- foo2 :: a -> b -> a- foo2 x y = (\ _ -> x) y- foo3 :: a -> a- foo3 x = (\ y -> y) x- foo4 :: a -> b -> c -> a- foo4 x y z = ((\ _ _ -> x) y) z- foo5 :: a -> b -> b- foo5 x y = (\ x -> x) y- foo6 :: a -> b -> a- foo6 a b = ((\ x -> \ _ -> x) a) b- foo7 :: a -> b -> b- foo7 x y = (\ (_, b) -> b) (x, y)- data Foo a b = Foo a b- foo8 :: Foo a b -> a- foo8 x = (\ Foo a _ -> a) x- type FooSym2 (t :: a0123456789876543210) (t :: b0123456789876543210) =- Foo t t- instance SuppressUnusedWarnings FooSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) FooSym1KindInference) GHC.Tuple.())- data FooSym1 (l :: a0123456789876543210) (l :: TyFun b0123456789876543210 (Foo a0123456789876543210 b0123456789876543210))- = forall arg. SameKind (Apply (FooSym1 l) arg) (FooSym2 l arg) =>- FooSym1KindInference- type instance Apply (FooSym1 l) l = Foo l l- instance SuppressUnusedWarnings FooSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) FooSym0KindInference) GHC.Tuple.())- data FooSym0 (l :: TyFun a0123456789876543210 (TyFun b0123456789876543210 (Foo a0123456789876543210 b0123456789876543210)- -> GHC.Types.Type))- = forall arg. SameKind (Apply FooSym0 arg) (FooSym1 arg) =>- FooSym0KindInference- type instance Apply FooSym0 l = FooSym1 l- type family Case_0123456789876543210 x arg_0123456789876543210 t where- Case_0123456789876543210 x arg_0123456789876543210 (Foo a _) = a- type family Lambda_0123456789876543210 x t where- Lambda_0123456789876543210 x arg_0123456789876543210 = Case_0123456789876543210 x arg_0123456789876543210 arg_0123456789876543210- type Lambda_0123456789876543210Sym2 t t =- Lambda_0123456789876543210 t t- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym1 l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym1 l) arg) (Lambda_0123456789876543210Sym2 l arg) =>- Lambda_0123456789876543210Sym1KindInference- type instance Apply (Lambda_0123456789876543210Sym1 l) l = Lambda_0123456789876543210 l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym0 l- = forall arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>- Lambda_0123456789876543210Sym0KindInference- type instance Apply Lambda_0123456789876543210Sym0 l = Lambda_0123456789876543210Sym1 l- type family Case_0123456789876543210 x y arg_0123456789876543210 t where- Case_0123456789876543210 x y arg_0123456789876543210 '(_, b) = b- type family Lambda_0123456789876543210 x y t where- Lambda_0123456789876543210 x y arg_0123456789876543210 = Case_0123456789876543210 x y arg_0123456789876543210 arg_0123456789876543210- type Lambda_0123456789876543210Sym3 t t t =- Lambda_0123456789876543210 t t t- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym2 l l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym2 l l) arg) (Lambda_0123456789876543210Sym3 l l arg) =>- Lambda_0123456789876543210Sym2KindInference- type instance Apply (Lambda_0123456789876543210Sym2 l l) l = Lambda_0123456789876543210 l l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym1 l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym1 l) arg) (Lambda_0123456789876543210Sym2 l arg) =>- Lambda_0123456789876543210Sym1KindInference- type instance Apply (Lambda_0123456789876543210Sym1 l) l = Lambda_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym0 l- = forall arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>- Lambda_0123456789876543210Sym0KindInference- type instance Apply Lambda_0123456789876543210Sym0 l = Lambda_0123456789876543210Sym1 l- type family Case_0123456789876543210 a b x arg_0123456789876543210 t where- Case_0123456789876543210 a b x arg_0123456789876543210 _ = x- type family Lambda_0123456789876543210 a b x t where- Lambda_0123456789876543210 a b x arg_0123456789876543210 = Case_0123456789876543210 a b x arg_0123456789876543210 arg_0123456789876543210- type Lambda_0123456789876543210Sym4 t t t t =- Lambda_0123456789876543210 t t t t- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym3 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym3KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym3 l l l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym3 l l l) arg) (Lambda_0123456789876543210Sym4 l l l arg) =>- Lambda_0123456789876543210Sym3KindInference- type instance Apply (Lambda_0123456789876543210Sym3 l l l) l = Lambda_0123456789876543210 l l l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym2 l l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym2 l l) arg) (Lambda_0123456789876543210Sym3 l l arg) =>- Lambda_0123456789876543210Sym2KindInference- type instance Apply (Lambda_0123456789876543210Sym2 l l) l = Lambda_0123456789876543210Sym3 l l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym1 l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym1 l) arg) (Lambda_0123456789876543210Sym2 l arg) =>- Lambda_0123456789876543210Sym1KindInference- type instance Apply (Lambda_0123456789876543210Sym1 l) l = Lambda_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym0 l- = forall arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>- Lambda_0123456789876543210Sym0KindInference- type instance Apply Lambda_0123456789876543210Sym0 l = Lambda_0123456789876543210Sym1 l- type family Lambda_0123456789876543210 a b t where- Lambda_0123456789876543210 a b x = Apply (Apply (Apply Lambda_0123456789876543210Sym0 a) b) x- type Lambda_0123456789876543210Sym3 t t t =- Lambda_0123456789876543210 t t t- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym2 l l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym2 l l) arg) (Lambda_0123456789876543210Sym3 l l arg) =>- Lambda_0123456789876543210Sym2KindInference- type instance Apply (Lambda_0123456789876543210Sym2 l l) l = Lambda_0123456789876543210 l l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym1 l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym1 l) arg) (Lambda_0123456789876543210Sym2 l arg) =>- Lambda_0123456789876543210Sym1KindInference- type instance Apply (Lambda_0123456789876543210Sym1 l) l = Lambda_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym0 l- = forall arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>- Lambda_0123456789876543210Sym0KindInference- type instance Apply Lambda_0123456789876543210Sym0 l = Lambda_0123456789876543210Sym1 l- type family Lambda_0123456789876543210 x y t where- Lambda_0123456789876543210 x y x = x- type Lambda_0123456789876543210Sym3 t t t =- Lambda_0123456789876543210 t t t- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym2 l l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym2 l l) arg) (Lambda_0123456789876543210Sym3 l l arg) =>- Lambda_0123456789876543210Sym2KindInference- type instance Apply (Lambda_0123456789876543210Sym2 l l) l = Lambda_0123456789876543210 l l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym1 l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym1 l) arg) (Lambda_0123456789876543210Sym2 l arg) =>- Lambda_0123456789876543210Sym1KindInference- type instance Apply (Lambda_0123456789876543210Sym1 l) l = Lambda_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym0 l- = forall arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>- Lambda_0123456789876543210Sym0KindInference- type instance Apply Lambda_0123456789876543210Sym0 l = Lambda_0123456789876543210Sym1 l- type family Case_0123456789876543210 x y z arg_0123456789876543210 arg_0123456789876543210 t where- Case_0123456789876543210 x y z arg_0123456789876543210 arg_0123456789876543210 '(_,- _) = x- type family Lambda_0123456789876543210 x y z t t where- Lambda_0123456789876543210 x y z arg_0123456789876543210 arg_0123456789876543210 = Case_0123456789876543210 x y z arg_0123456789876543210 arg_0123456789876543210 (Apply (Apply Tuple2Sym0 arg_0123456789876543210) arg_0123456789876543210)- type Lambda_0123456789876543210Sym5 t t t t t =- Lambda_0123456789876543210 t t t t t- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym4 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym4KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym4 l l l l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym4 l l l l) arg) (Lambda_0123456789876543210Sym5 l l l l arg) =>- Lambda_0123456789876543210Sym4KindInference- type instance Apply (Lambda_0123456789876543210Sym4 l l l l) l = Lambda_0123456789876543210 l l l l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym3 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym3KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym3 l l l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym3 l l l) arg) (Lambda_0123456789876543210Sym4 l l l arg) =>- Lambda_0123456789876543210Sym3KindInference- type instance Apply (Lambda_0123456789876543210Sym3 l l l) l = Lambda_0123456789876543210Sym4 l l l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym2 l l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym2 l l) arg) (Lambda_0123456789876543210Sym3 l l arg) =>- Lambda_0123456789876543210Sym2KindInference- type instance Apply (Lambda_0123456789876543210Sym2 l l) l = Lambda_0123456789876543210Sym3 l l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym1 l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym1 l) arg) (Lambda_0123456789876543210Sym2 l arg) =>- Lambda_0123456789876543210Sym1KindInference- type instance Apply (Lambda_0123456789876543210Sym1 l) l = Lambda_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym0 l- = forall arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>- Lambda_0123456789876543210Sym0KindInference- type instance Apply Lambda_0123456789876543210Sym0 l = Lambda_0123456789876543210Sym1 l- type family Lambda_0123456789876543210 x t where- Lambda_0123456789876543210 x y = y- type Lambda_0123456789876543210Sym2 t t =- Lambda_0123456789876543210 t t- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym1 l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym1 l) arg) (Lambda_0123456789876543210Sym2 l arg) =>- Lambda_0123456789876543210Sym1KindInference- type instance Apply (Lambda_0123456789876543210Sym1 l) l = Lambda_0123456789876543210 l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym0 l- = forall arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>- Lambda_0123456789876543210Sym0KindInference- type instance Apply Lambda_0123456789876543210Sym0 l = Lambda_0123456789876543210Sym1 l- type family Case_0123456789876543210 x y arg_0123456789876543210 t where- Case_0123456789876543210 x y arg_0123456789876543210 _ = x- type family Lambda_0123456789876543210 x y t where- Lambda_0123456789876543210 x y arg_0123456789876543210 = Case_0123456789876543210 x y arg_0123456789876543210 arg_0123456789876543210- type Lambda_0123456789876543210Sym3 t t t =- Lambda_0123456789876543210 t t t- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym2 l l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym2 l l) arg) (Lambda_0123456789876543210Sym3 l l arg) =>- Lambda_0123456789876543210Sym2KindInference- type instance Apply (Lambda_0123456789876543210Sym2 l l) l = Lambda_0123456789876543210 l l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym1 l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym1 l) arg) (Lambda_0123456789876543210Sym2 l arg) =>- Lambda_0123456789876543210Sym1KindInference- type instance Apply (Lambda_0123456789876543210Sym1 l) l = Lambda_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym0 l- = forall arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>- Lambda_0123456789876543210Sym0KindInference- type instance Apply Lambda_0123456789876543210Sym0 l = Lambda_0123456789876543210Sym1 l- type family Case_0123456789876543210 x arg_0123456789876543210 a_0123456789876543210 t where- Case_0123456789876543210 x arg_0123456789876543210 a_0123456789876543210 _ = x- type family Lambda_0123456789876543210 x a_0123456789876543210 t where- Lambda_0123456789876543210 x a_0123456789876543210 arg_0123456789876543210 = Case_0123456789876543210 x arg_0123456789876543210 a_0123456789876543210 arg_0123456789876543210- type Lambda_0123456789876543210Sym3 t t t =- Lambda_0123456789876543210 t t t- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym2 l l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym2 l l) arg) (Lambda_0123456789876543210Sym3 l l arg) =>- Lambda_0123456789876543210Sym2KindInference- type instance Apply (Lambda_0123456789876543210Sym2 l l) l = Lambda_0123456789876543210 l l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym1 l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym1 l) arg) (Lambda_0123456789876543210Sym2 l arg) =>- Lambda_0123456789876543210Sym1KindInference- type instance Apply (Lambda_0123456789876543210Sym1 l) l = Lambda_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym0 l- = forall arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>- Lambda_0123456789876543210Sym0KindInference- type instance Apply Lambda_0123456789876543210Sym0 l = Lambda_0123456789876543210Sym1 l- type family Lambda_0123456789876543210 a_0123456789876543210 a_0123456789876543210 t t where- Lambda_0123456789876543210 a_0123456789876543210 a_0123456789876543210 x y = x- type Lambda_0123456789876543210Sym4 t t t t =- Lambda_0123456789876543210 t t t t- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym3 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym3KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym3 l l l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym3 l l l) arg) (Lambda_0123456789876543210Sym4 l l l arg) =>- Lambda_0123456789876543210Sym3KindInference- type instance Apply (Lambda_0123456789876543210Sym3 l l l) l = Lambda_0123456789876543210 l l l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym2 l l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym2 l l) arg) (Lambda_0123456789876543210Sym3 l l arg) =>- Lambda_0123456789876543210Sym2KindInference- type instance Apply (Lambda_0123456789876543210Sym2 l l) l = Lambda_0123456789876543210Sym3 l l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym1 l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym1 l) arg) (Lambda_0123456789876543210Sym2 l arg) =>- Lambda_0123456789876543210Sym1KindInference- type instance Apply (Lambda_0123456789876543210Sym1 l) l = Lambda_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym0 l- = forall arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>- Lambda_0123456789876543210Sym0KindInference- type instance Apply Lambda_0123456789876543210Sym0 l = Lambda_0123456789876543210Sym1 l- type Foo8Sym1 (t :: Foo a0123456789876543210 b0123456789876543210) =- Foo8 t- instance SuppressUnusedWarnings Foo8Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo8Sym0KindInference) GHC.Tuple.())- data Foo8Sym0 (l :: TyFun (Foo a0123456789876543210 b0123456789876543210) a0123456789876543210)- = forall arg. SameKind (Apply Foo8Sym0 arg) (Foo8Sym1 arg) =>- Foo8Sym0KindInference- type instance Apply Foo8Sym0 l = Foo8 l- type Foo7Sym2 (t :: a0123456789876543210) (t :: b0123456789876543210) =- Foo7 t t- instance SuppressUnusedWarnings Foo7Sym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo7Sym1KindInference) GHC.Tuple.())- data Foo7Sym1 (l :: a0123456789876543210) (l :: TyFun b0123456789876543210 b0123456789876543210)- = forall arg. SameKind (Apply (Foo7Sym1 l) arg) (Foo7Sym2 l arg) =>- Foo7Sym1KindInference- type instance Apply (Foo7Sym1 l) l = Foo7 l l- instance SuppressUnusedWarnings Foo7Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo7Sym0KindInference) GHC.Tuple.())- data Foo7Sym0 (l :: TyFun a0123456789876543210 (TyFun b0123456789876543210 b0123456789876543210- -> GHC.Types.Type))- = forall arg. SameKind (Apply Foo7Sym0 arg) (Foo7Sym1 arg) =>- Foo7Sym0KindInference- type instance Apply Foo7Sym0 l = Foo7Sym1 l- type Foo6Sym2 (t :: a0123456789876543210) (t :: b0123456789876543210) =- Foo6 t t- instance SuppressUnusedWarnings Foo6Sym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo6Sym1KindInference) GHC.Tuple.())- data Foo6Sym1 (l :: a0123456789876543210) (l :: TyFun b0123456789876543210 a0123456789876543210)- = forall arg. SameKind (Apply (Foo6Sym1 l) arg) (Foo6Sym2 l arg) =>- Foo6Sym1KindInference- type instance Apply (Foo6Sym1 l) l = Foo6 l l- instance SuppressUnusedWarnings Foo6Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo6Sym0KindInference) GHC.Tuple.())- data Foo6Sym0 (l :: TyFun a0123456789876543210 (TyFun b0123456789876543210 a0123456789876543210- -> GHC.Types.Type))- = forall arg. SameKind (Apply Foo6Sym0 arg) (Foo6Sym1 arg) =>- Foo6Sym0KindInference- type instance Apply Foo6Sym0 l = Foo6Sym1 l- type Foo5Sym2 (t :: a0123456789876543210) (t :: b0123456789876543210) =- Foo5 t t- instance SuppressUnusedWarnings Foo5Sym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo5Sym1KindInference) GHC.Tuple.())- data Foo5Sym1 (l :: a0123456789876543210) (l :: TyFun b0123456789876543210 b0123456789876543210)- = forall arg. SameKind (Apply (Foo5Sym1 l) arg) (Foo5Sym2 l arg) =>- Foo5Sym1KindInference- type instance Apply (Foo5Sym1 l) l = Foo5 l l- instance SuppressUnusedWarnings Foo5Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo5Sym0KindInference) GHC.Tuple.())- data Foo5Sym0 (l :: TyFun a0123456789876543210 (TyFun b0123456789876543210 b0123456789876543210- -> GHC.Types.Type))- = forall arg. SameKind (Apply Foo5Sym0 arg) (Foo5Sym1 arg) =>- Foo5Sym0KindInference- type instance Apply Foo5Sym0 l = Foo5Sym1 l- type Foo4Sym3 (t :: a0123456789876543210) (t :: b0123456789876543210) (t :: c0123456789876543210) =- Foo4 t t t- instance SuppressUnusedWarnings Foo4Sym2 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo4Sym2KindInference) GHC.Tuple.())- data Foo4Sym2 (l :: a0123456789876543210) (l :: b0123456789876543210) (l :: TyFun c0123456789876543210 a0123456789876543210)- = forall arg. SameKind (Apply (Foo4Sym2 l l) arg) (Foo4Sym3 l l arg) =>- Foo4Sym2KindInference- type instance Apply (Foo4Sym2 l l) l = Foo4 l l l- instance SuppressUnusedWarnings Foo4Sym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo4Sym1KindInference) GHC.Tuple.())- data Foo4Sym1 (l :: a0123456789876543210) (l :: TyFun b0123456789876543210 (TyFun c0123456789876543210 a0123456789876543210- -> GHC.Types.Type))- = forall arg. SameKind (Apply (Foo4Sym1 l) arg) (Foo4Sym2 l arg) =>- Foo4Sym1KindInference- type instance Apply (Foo4Sym1 l) l = Foo4Sym2 l l- instance SuppressUnusedWarnings Foo4Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo4Sym0KindInference) GHC.Tuple.())- data Foo4Sym0 (l :: TyFun a0123456789876543210 (TyFun b0123456789876543210 (TyFun c0123456789876543210 a0123456789876543210- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply Foo4Sym0 arg) (Foo4Sym1 arg) =>- Foo4Sym0KindInference- type instance Apply Foo4Sym0 l = Foo4Sym1 l- type Foo3Sym1 (t :: a0123456789876543210) = Foo3 t- instance SuppressUnusedWarnings Foo3Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo3Sym0KindInference) GHC.Tuple.())- data Foo3Sym0 (l :: TyFun a0123456789876543210 a0123456789876543210)- = forall arg. SameKind (Apply Foo3Sym0 arg) (Foo3Sym1 arg) =>- Foo3Sym0KindInference- type instance Apply Foo3Sym0 l = Foo3 l- type Foo2Sym2 (t :: a0123456789876543210) (t :: b0123456789876543210) =- Foo2 t t- instance SuppressUnusedWarnings Foo2Sym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo2Sym1KindInference) GHC.Tuple.())- data Foo2Sym1 (l :: a0123456789876543210) (l :: TyFun b0123456789876543210 a0123456789876543210)- = forall arg. SameKind (Apply (Foo2Sym1 l) arg) (Foo2Sym2 l arg) =>- Foo2Sym1KindInference- type instance Apply (Foo2Sym1 l) l = Foo2 l l- instance SuppressUnusedWarnings Foo2Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo2Sym0KindInference) GHC.Tuple.())- data Foo2Sym0 (l :: TyFun a0123456789876543210 (TyFun b0123456789876543210 a0123456789876543210- -> GHC.Types.Type))- = forall arg. SameKind (Apply Foo2Sym0 arg) (Foo2Sym1 arg) =>- Foo2Sym0KindInference- type instance Apply Foo2Sym0 l = Foo2Sym1 l- type Foo1Sym2 (t :: a0123456789876543210) (t :: b0123456789876543210) =- Foo1 t t- instance SuppressUnusedWarnings Foo1Sym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo1Sym1KindInference) GHC.Tuple.())- data Foo1Sym1 (l :: a0123456789876543210) (l :: TyFun b0123456789876543210 a0123456789876543210)- = forall arg. SameKind (Apply (Foo1Sym1 l) arg) (Foo1Sym2 l arg) =>- Foo1Sym1KindInference- type instance Apply (Foo1Sym1 l) l = Foo1 l l- instance SuppressUnusedWarnings Foo1Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo1Sym0KindInference) GHC.Tuple.())- data Foo1Sym0 (l :: TyFun a0123456789876543210 (TyFun b0123456789876543210 a0123456789876543210- -> GHC.Types.Type))- = forall arg. SameKind (Apply Foo1Sym0 arg) (Foo1Sym1 arg) =>- Foo1Sym0KindInference- type instance Apply Foo1Sym0 l = Foo1Sym1 l- type Foo0Sym2 (t :: a0123456789876543210) (t :: b0123456789876543210) =- Foo0 t t- instance SuppressUnusedWarnings Foo0Sym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo0Sym1KindInference) GHC.Tuple.())- data Foo0Sym1 (l :: a0123456789876543210) (l :: TyFun b0123456789876543210 a0123456789876543210)- = forall arg. SameKind (Apply (Foo0Sym1 l) arg) (Foo0Sym2 l arg) =>- Foo0Sym1KindInference- type instance Apply (Foo0Sym1 l) l = Foo0 l l- instance SuppressUnusedWarnings Foo0Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo0Sym0KindInference) GHC.Tuple.())- data Foo0Sym0 (l :: TyFun a0123456789876543210 (TyFun b0123456789876543210 a0123456789876543210- -> GHC.Types.Type))- = forall arg. SameKind (Apply Foo0Sym0 arg) (Foo0Sym1 arg) =>- Foo0Sym0KindInference- type instance Apply Foo0Sym0 l = Foo0Sym1 l- type family Foo8 (a :: Foo a b) :: a where- Foo8 x = Apply (Apply Lambda_0123456789876543210Sym0 x) x- type family Foo7 (a :: a) (a :: b) :: b where- Foo7 x y = Apply (Apply (Apply Lambda_0123456789876543210Sym0 x) y) (Apply (Apply Tuple2Sym0 x) y)- type family Foo6 (a :: a) (a :: b) :: a where- Foo6 a b = Apply (Apply (Apply (Apply Lambda_0123456789876543210Sym0 a) b) a) b- type family Foo5 (a :: a) (a :: b) :: b where- Foo5 x y = Apply (Apply (Apply Lambda_0123456789876543210Sym0 x) y) y- type family Foo4 (a :: a) (a :: b) (a :: c) :: a where- Foo4 x y z = Apply (Apply (Apply (Apply (Apply Lambda_0123456789876543210Sym0 x) y) z) y) z- type family Foo3 (a :: a) :: a where- Foo3 x = Apply (Apply Lambda_0123456789876543210Sym0 x) x- type family Foo2 (a :: a) (a :: b) :: a where- Foo2 x y = Apply (Apply (Apply Lambda_0123456789876543210Sym0 x) y) y- type family Foo1 (a :: a) (a :: b) :: a where- Foo1 x a_0123456789876543210 = Apply (Apply (Apply Lambda_0123456789876543210Sym0 x) a_0123456789876543210) a_0123456789876543210- type family Foo0 (a :: a) (a :: b) :: a where- Foo0 a_0123456789876543210 a_0123456789876543210 = Apply (Apply (Apply (Apply Lambda_0123456789876543210Sym0 a_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210- sFoo8 ::- forall (t :: Foo a b). Sing t -> Sing (Apply Foo8Sym0 t :: a)- sFoo7 ::- forall (t :: a) (t :: b).- Sing t -> Sing t -> Sing (Apply (Apply Foo7Sym0 t) t :: b)- sFoo6 ::- forall (t :: a) (t :: b).- Sing t -> Sing t -> Sing (Apply (Apply Foo6Sym0 t) t :: a)- sFoo5 ::- forall (t :: a) (t :: b).- Sing t -> Sing t -> Sing (Apply (Apply Foo5Sym0 t) t :: b)- sFoo4 ::- forall (t :: a) (t :: b) (t :: c).- Sing t- -> Sing t- -> Sing t -> Sing (Apply (Apply (Apply Foo4Sym0 t) t) t :: a)- sFoo3 :: forall (t :: a). Sing t -> Sing (Apply Foo3Sym0 t :: a)- sFoo2 ::- forall (t :: a) (t :: b).- Sing t -> Sing t -> Sing (Apply (Apply Foo2Sym0 t) t :: a)- sFoo1 ::- forall (t :: a) (t :: b).- Sing t -> Sing t -> Sing (Apply (Apply Foo1Sym0 t) t :: a)- sFoo0 ::- forall (t :: a) (t :: b).- Sing t -> Sing t -> Sing (Apply (Apply Foo0Sym0 t) t :: a)- sFoo8 (sX :: Sing x)- = (applySing- ((singFun1 @(Apply Lambda_0123456789876543210Sym0 x))- (\ sArg_0123456789876543210- -> case sArg_0123456789876543210 of {- _ :: Sing arg_0123456789876543210- -> case sArg_0123456789876543210 of {- SFoo (sA :: Sing a) _ -> sA } ::- Sing (Case_0123456789876543210 x arg_0123456789876543210 arg_0123456789876543210) })))- sX- sFoo7 (sX :: Sing x) (sY :: Sing y)- = (applySing- ((singFun1 @(Apply (Apply Lambda_0123456789876543210Sym0 x) y))- (\ sArg_0123456789876543210- -> case sArg_0123456789876543210 of {- _ :: Sing arg_0123456789876543210- -> case sArg_0123456789876543210 of {- STuple2 _ (sB :: Sing b) -> sB } ::- Sing (Case_0123456789876543210 x y arg_0123456789876543210 arg_0123456789876543210) })))- ((applySing ((applySing ((singFun2 @Tuple2Sym0) STuple2)) sX)) sY)- sFoo6 (sA :: Sing a) (sB :: Sing b)- = (applySing- ((applySing- ((singFun1 @(Apply (Apply Lambda_0123456789876543210Sym0 a) b))- (\ sX- -> case sX of {- _ :: Sing x- -> (singFun1- @(Apply (Apply (Apply Lambda_0123456789876543210Sym0 a) b) x))- (\ sArg_0123456789876543210- -> case sArg_0123456789876543210 of {- _ :: Sing arg_0123456789876543210- -> case sArg_0123456789876543210 of { _ -> sX } ::- Sing (Case_0123456789876543210 a b x arg_0123456789876543210 arg_0123456789876543210) }) })))- sA))- sB- sFoo5 (sX :: Sing x) (sY :: Sing y)- = (applySing- ((singFun1 @(Apply (Apply Lambda_0123456789876543210Sym0 x) y))- (\ sX -> case sX of { _ :: Sing x -> sX })))- sY- sFoo4 (sX :: Sing x) (sY :: Sing y) (sZ :: Sing z)- = (applySing- ((applySing- ((singFun2- @(Apply (Apply (Apply Lambda_0123456789876543210Sym0 x) y) z))- (\ sArg_0123456789876543210 sArg_0123456789876543210- -> case- (GHC.Tuple.(,) sArg_0123456789876543210) sArg_0123456789876543210- of {- GHC.Tuple.(,) (_ :: Sing arg_0123456789876543210)- (_ :: Sing arg_0123456789876543210)- -> case- (applySing- ((applySing ((singFun2 @Tuple2Sym0) STuple2))- sArg_0123456789876543210))- sArg_0123456789876543210- of {- STuple2 _ _ -> sX } ::- Sing (Case_0123456789876543210 x y z arg_0123456789876543210 arg_0123456789876543210 (Apply (Apply Tuple2Sym0 arg_0123456789876543210) arg_0123456789876543210)) })))- sY))- sZ- sFoo3 (sX :: Sing x)- = (applySing- ((singFun1 @(Apply Lambda_0123456789876543210Sym0 x))- (\ sY -> case sY of { _ :: Sing y -> sY })))- sX- sFoo2 (sX :: Sing x) (sY :: Sing y)- = (applySing- ((singFun1 @(Apply (Apply Lambda_0123456789876543210Sym0 x) y))- (\ sArg_0123456789876543210- -> case sArg_0123456789876543210 of {- _ :: Sing arg_0123456789876543210- -> case sArg_0123456789876543210 of { _ -> sX } ::- Sing (Case_0123456789876543210 x y arg_0123456789876543210 arg_0123456789876543210) })))- sY- sFoo1- (sX :: Sing x)- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((singFun1- @(Apply (Apply Lambda_0123456789876543210Sym0 x) a_0123456789876543210))- (\ sArg_0123456789876543210- -> case sArg_0123456789876543210 of {- _ :: Sing arg_0123456789876543210- -> case sArg_0123456789876543210 of { _ -> sX } ::- Sing (Case_0123456789876543210 x arg_0123456789876543210 a_0123456789876543210 arg_0123456789876543210) })))- sA_0123456789876543210- sFoo0- (sA_0123456789876543210 :: Sing a_0123456789876543210)- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing- ((singFun2- @(Apply (Apply Lambda_0123456789876543210Sym0 a_0123456789876543210) a_0123456789876543210))- (\ sX sY- -> case (GHC.Tuple.(,) sX) sY of {- GHC.Tuple.(,) (_ :: Sing x) (_ :: Sing y) -> sX })))- sA_0123456789876543210))- sA_0123456789876543210- data instance Sing (z :: Foo a b)- where- SFoo :: forall (n :: a) (n :: b).- (Sing (n :: a)) -> (Sing (n :: b)) -> Sing (Foo n n)- type SFoo = (Sing :: Foo a b -> GHC.Types.Type)- instance (SingKind a, SingKind b) => SingKind (Foo a b) where- type Demote (Foo a b) = Foo (Demote a) (Demote b)- fromSing (SFoo b b) = (Foo (fromSing b)) (fromSing b)- toSing (Foo (b :: Demote a) (b :: Demote b))- = case- (GHC.Tuple.(,) (toSing b :: SomeSing a)) (toSing b :: SomeSing b)- of {- GHC.Tuple.(,) (SomeSing c) (SomeSing c) -> SomeSing ((SFoo c) c) }- instance (SingI n, SingI n) => SingI (Foo (n :: a) (n :: b)) where- sing = (SFoo sing) sing
+ tests/compile-and-dump/Singletons/Lambdas.ghc86.template view
@@ -0,0 +1,830 @@+Singletons/Lambdas.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| foo0 :: a -> b -> a+ foo0 = (\ x y -> x)+ foo1 :: a -> b -> a+ foo1 x = (\ _ -> x)+ foo2 :: a -> b -> a+ foo2 x y = (\ _ -> x) y+ foo3 :: a -> a+ foo3 x = (\ y -> y) x+ foo4 :: a -> b -> c -> a+ foo4 x y z = (\ _ _ -> x) y z+ foo5 :: a -> b -> b+ foo5 x y = (\ x -> x) y+ foo6 :: a -> b -> a+ foo6 a b = (\ x -> \ _ -> x) a b+ foo7 :: a -> b -> b+ foo7 x y = (\ (_, b) -> b) (x, y)+ foo8 :: Foo a b -> a+ foo8 x = (\ (Foo a _) -> a) x+ + data Foo a b = Foo a b |]+ ======>+ foo0 :: a -> b -> a+ foo0 = \ x y -> x+ foo1 :: a -> b -> a+ foo1 x = \ _ -> x+ foo2 :: a -> b -> a+ foo2 x y = (\ _ -> x) y+ foo3 :: a -> a+ foo3 x = (\ y -> y) x+ foo4 :: a -> b -> c -> a+ foo4 x y z = ((\ _ _ -> x) y) z+ foo5 :: a -> b -> b+ foo5 x y = (\ x -> x) y+ foo6 :: a -> b -> a+ foo6 a b = ((\ x -> \ _ -> x) a) b+ foo7 :: a -> b -> b+ foo7 x y = (\ (_, b) -> b) (x, y)+ data Foo a b = Foo a b+ foo8 :: Foo a b -> a+ foo8 x = (\ (Foo a _) -> a) x+ type FooSym2 (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: b0123456789876543210) =+ Foo t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (FooSym1 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) FooSym1KindInference) ())+ data FooSym1 (t0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210.+ (~>) b0123456789876543210 (Foo a0123456789876543210 b0123456789876543210)+ where+ FooSym1KindInference :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (FooSym1 t0123456789876543210) arg) (FooSym2 t0123456789876543210 arg) =>+ FooSym1 t0123456789876543210 t0123456789876543210+ type instance Apply (FooSym1 t0123456789876543210) t0123456789876543210 = Foo t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings FooSym0 where+ suppressUnusedWarnings = snd (((,) FooSym0KindInference) ())+ data FooSym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) a0123456789876543210 ((~>) b0123456789876543210 (Foo a0123456789876543210 b0123456789876543210))+ where+ FooSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply FooSym0 arg) (FooSym1 arg) =>+ FooSym0 t0123456789876543210+ type instance Apply FooSym0 t0123456789876543210 = FooSym1 t0123456789876543210+ type family Case_0123456789876543210 x arg_0123456789876543210 t where+ Case_0123456789876543210 x arg_0123456789876543210 (Foo a _) = a+ type family Lambda_0123456789876543210 x t where+ Lambda_0123456789876543210 x arg_0123456789876543210 = Case_0123456789876543210 x arg_0123456789876543210 arg_0123456789876543210+ type Lambda_0123456789876543210Sym2 x0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 x0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 x0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall x0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 x0123456789876543210) arg) (Lambda_0123456789876543210Sym2 x0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 x0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 x0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 x0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 x0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 x0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 x0123456789876543210 = Lambda_0123456789876543210Sym1 x0123456789876543210+ type family Case_0123456789876543210 x y arg_0123456789876543210 t where+ Case_0123456789876543210 x y arg_0123456789876543210 '(_, b) = b+ type family Lambda_0123456789876543210 x y t where+ Lambda_0123456789876543210 x y arg_0123456789876543210 = Case_0123456789876543210 x y arg_0123456789876543210 arg_0123456789876543210+ type Lambda_0123456789876543210Sym3 x0123456789876543210 y0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 x0123456789876543210 y0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 y0123456789876543210 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 x0123456789876543210 y0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall x0123456789876543210+ y0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 x0123456789876543210 y0123456789876543210) arg) (Lambda_0123456789876543210Sym3 x0123456789876543210 y0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 x0123456789876543210 y0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 y0123456789876543210 x0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 y0123456789876543210 x0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 x0123456789876543210 y0123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall x0123456789876543210+ y0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 x0123456789876543210) arg) (Lambda_0123456789876543210Sym2 x0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 x0123456789876543210 y0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 x0123456789876543210) y0123456789876543210 = Lambda_0123456789876543210Sym2 x0123456789876543210 y0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 x0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 x0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 x0123456789876543210 = Lambda_0123456789876543210Sym1 x0123456789876543210+ type family Case_0123456789876543210 a b x arg_0123456789876543210 t where+ Case_0123456789876543210 a b x arg_0123456789876543210 _ = x+ type family Lambda_0123456789876543210 a b x t where+ Lambda_0123456789876543210 a b x arg_0123456789876543210 = Case_0123456789876543210 a b x arg_0123456789876543210 arg_0123456789876543210+ type Lambda_0123456789876543210Sym4 a0123456789876543210 b0123456789876543210 x0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 a0123456789876543210 b0123456789876543210 x0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym3 x0123456789876543210 b0123456789876543210 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym3KindInference) ())+ data Lambda_0123456789876543210Sym3 a0123456789876543210 b0123456789876543210 x0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym3KindInference :: forall a0123456789876543210+ b0123456789876543210+ x0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym3 a0123456789876543210 b0123456789876543210 x0123456789876543210) arg) (Lambda_0123456789876543210Sym4 a0123456789876543210 b0123456789876543210 x0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym3 a0123456789876543210 b0123456789876543210 x0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym3 x0123456789876543210 b0123456789876543210 a0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 x0123456789876543210 b0123456789876543210 a0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 b0123456789876543210 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 a0123456789876543210 b0123456789876543210 x0123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall a0123456789876543210+ b0123456789876543210+ x0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 a0123456789876543210 b0123456789876543210) arg) (Lambda_0123456789876543210Sym3 a0123456789876543210 b0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 a0123456789876543210 b0123456789876543210 x0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 b0123456789876543210 a0123456789876543210) x0123456789876543210 = Lambda_0123456789876543210Sym3 b0123456789876543210 a0123456789876543210 x0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 a0123456789876543210 b0123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ b0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 a0123456789876543210) arg) (Lambda_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 a0123456789876543210 b0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 a0123456789876543210) b0123456789876543210 = Lambda_0123456789876543210Sym2 a0123456789876543210 b0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 a0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 a0123456789876543210 = Lambda_0123456789876543210Sym1 a0123456789876543210+ type family Lambda_0123456789876543210 a b t where+ Lambda_0123456789876543210 a b x = Apply (Apply (Apply Lambda_0123456789876543210Sym0 a) b) x+ type Lambda_0123456789876543210Sym3 a0123456789876543210 b0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 a0123456789876543210 b0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 b0123456789876543210 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 a0123456789876543210 b0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall a0123456789876543210+ b0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 a0123456789876543210 b0123456789876543210) arg) (Lambda_0123456789876543210Sym3 a0123456789876543210 b0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 a0123456789876543210 b0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 b0123456789876543210 a0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 b0123456789876543210 a0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 a0123456789876543210 b0123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ b0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 a0123456789876543210) arg) (Lambda_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 a0123456789876543210 b0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 a0123456789876543210) b0123456789876543210 = Lambda_0123456789876543210Sym2 a0123456789876543210 b0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 a0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 a0123456789876543210 = Lambda_0123456789876543210Sym1 a0123456789876543210+ type family Lambda_0123456789876543210 x y t where+ Lambda_0123456789876543210 x y x = x+ type Lambda_0123456789876543210Sym3 x0123456789876543210 y0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 x0123456789876543210 y0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 y0123456789876543210 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 x0123456789876543210 y0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall x0123456789876543210+ y0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 x0123456789876543210 y0123456789876543210) arg) (Lambda_0123456789876543210Sym3 x0123456789876543210 y0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 x0123456789876543210 y0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 y0123456789876543210 x0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 y0123456789876543210 x0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 x0123456789876543210 y0123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall x0123456789876543210+ y0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 x0123456789876543210) arg) (Lambda_0123456789876543210Sym2 x0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 x0123456789876543210 y0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 x0123456789876543210) y0123456789876543210 = Lambda_0123456789876543210Sym2 x0123456789876543210 y0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 x0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 x0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 x0123456789876543210 = Lambda_0123456789876543210Sym1 x0123456789876543210+ type family Case_0123456789876543210 x y z arg_0123456789876543210 arg_0123456789876543210 t where+ Case_0123456789876543210 x y z arg_0123456789876543210 arg_0123456789876543210 '(_,+ _) = x+ type family Lambda_0123456789876543210 x y z t t where+ Lambda_0123456789876543210 x y z arg_0123456789876543210 arg_0123456789876543210 = Case_0123456789876543210 x y z arg_0123456789876543210 arg_0123456789876543210 (Apply (Apply Tuple2Sym0 arg_0123456789876543210) arg_0123456789876543210)+ type Lambda_0123456789876543210Sym5 x0123456789876543210 y0123456789876543210 z0123456789876543210 t0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 x0123456789876543210 y0123456789876543210 z0123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym4 t0123456789876543210 z0123456789876543210 y0123456789876543210 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym4KindInference) ())+ data Lambda_0123456789876543210Sym4 x0123456789876543210 y0123456789876543210 z0123456789876543210 t0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym4KindInference :: forall x0123456789876543210+ y0123456789876543210+ z0123456789876543210+ t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym4 x0123456789876543210 y0123456789876543210 z0123456789876543210 t0123456789876543210) arg) (Lambda_0123456789876543210Sym5 x0123456789876543210 y0123456789876543210 z0123456789876543210 t0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym4 x0123456789876543210 y0123456789876543210 z0123456789876543210 t0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym4 t0123456789876543210 z0123456789876543210 y0123456789876543210 x0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 t0123456789876543210 z0123456789876543210 y0123456789876543210 x0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym3 z0123456789876543210 y0123456789876543210 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym3KindInference) ())+ data Lambda_0123456789876543210Sym3 x0123456789876543210 y0123456789876543210 z0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym3KindInference :: forall x0123456789876543210+ y0123456789876543210+ z0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym3 x0123456789876543210 y0123456789876543210 z0123456789876543210) arg) (Lambda_0123456789876543210Sym4 x0123456789876543210 y0123456789876543210 z0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym3 x0123456789876543210 y0123456789876543210 z0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym3 z0123456789876543210 y0123456789876543210 x0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210Sym4 z0123456789876543210 y0123456789876543210 x0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 y0123456789876543210 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 x0123456789876543210 y0123456789876543210 z0123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall x0123456789876543210+ y0123456789876543210+ z0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 x0123456789876543210 y0123456789876543210) arg) (Lambda_0123456789876543210Sym3 x0123456789876543210 y0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 x0123456789876543210 y0123456789876543210 z0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 y0123456789876543210 x0123456789876543210) z0123456789876543210 = Lambda_0123456789876543210Sym3 y0123456789876543210 x0123456789876543210 z0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 x0123456789876543210 y0123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall x0123456789876543210+ y0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 x0123456789876543210) arg) (Lambda_0123456789876543210Sym2 x0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 x0123456789876543210 y0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 x0123456789876543210) y0123456789876543210 = Lambda_0123456789876543210Sym2 x0123456789876543210 y0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 x0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 x0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 x0123456789876543210 = Lambda_0123456789876543210Sym1 x0123456789876543210+ type family Lambda_0123456789876543210 x t where+ Lambda_0123456789876543210 x y = y+ type Lambda_0123456789876543210Sym2 x0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 x0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 x0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall x0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 x0123456789876543210) arg) (Lambda_0123456789876543210Sym2 x0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 x0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 x0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 x0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 x0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 x0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 x0123456789876543210 = Lambda_0123456789876543210Sym1 x0123456789876543210+ type family Case_0123456789876543210 x y arg_0123456789876543210 t where+ Case_0123456789876543210 x y arg_0123456789876543210 _ = x+ type family Lambda_0123456789876543210 x y t where+ Lambda_0123456789876543210 x y arg_0123456789876543210 = Case_0123456789876543210 x y arg_0123456789876543210 arg_0123456789876543210+ type Lambda_0123456789876543210Sym3 x0123456789876543210 y0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 x0123456789876543210 y0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 y0123456789876543210 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 x0123456789876543210 y0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall x0123456789876543210+ y0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 x0123456789876543210 y0123456789876543210) arg) (Lambda_0123456789876543210Sym3 x0123456789876543210 y0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 x0123456789876543210 y0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 y0123456789876543210 x0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 y0123456789876543210 x0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 x0123456789876543210 y0123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall x0123456789876543210+ y0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 x0123456789876543210) arg) (Lambda_0123456789876543210Sym2 x0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 x0123456789876543210 y0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 x0123456789876543210) y0123456789876543210 = Lambda_0123456789876543210Sym2 x0123456789876543210 y0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 x0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 x0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 x0123456789876543210 = Lambda_0123456789876543210Sym1 x0123456789876543210+ type family Case_0123456789876543210 x arg_0123456789876543210 a_0123456789876543210 t where+ Case_0123456789876543210 x arg_0123456789876543210 a_0123456789876543210 _ = x+ type family Lambda_0123456789876543210 x a_0123456789876543210 t where+ Lambda_0123456789876543210 x a_0123456789876543210 arg_0123456789876543210 = Case_0123456789876543210 x arg_0123456789876543210 a_0123456789876543210 arg_0123456789876543210+ type Lambda_0123456789876543210Sym3 x0123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 x0123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 x0123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall x0123456789876543210+ a_01234567898765432100123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 x0123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym3 x0123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 x0123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 x0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 a_01234567898765432100123456789876543210 x0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 x0123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall x0123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 x0123456789876543210) arg) (Lambda_0123456789876543210Sym2 x0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 x0123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 x0123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym2 x0123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 x0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 x0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 x0123456789876543210 = Lambda_0123456789876543210Sym1 x0123456789876543210+ type family Lambda_0123456789876543210 a_0123456789876543210 a_0123456789876543210 t t where+ Lambda_0123456789876543210 a_0123456789876543210 a_0123456789876543210 x y = x+ type Lambda_0123456789876543210Sym4 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym3 t0123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym3KindInference) ())+ data Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym3KindInference :: forall a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210) arg) (Lambda_0123456789876543210Sym4 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym3 t0123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 t0123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) t0123456789876543210 = Lambda_0123456789876543210Sym3 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 a_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 a_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall a_01234567898765432100123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 a_01234567898765432100123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym1 a_01234567898765432100123456789876543210+ type Foo8Sym1 (a0123456789876543210 :: Foo a0123456789876543210 b0123456789876543210) =+ Foo8 a0123456789876543210+ instance SuppressUnusedWarnings Foo8Sym0 where+ suppressUnusedWarnings = snd (((,) Foo8Sym0KindInference) ())+ data Foo8Sym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) (Foo a0123456789876543210 b0123456789876543210) a0123456789876543210+ where+ Foo8Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo8Sym0 arg) (Foo8Sym1 arg) =>+ Foo8Sym0 a0123456789876543210+ type instance Apply Foo8Sym0 a0123456789876543210 = Foo8 a0123456789876543210+ type Foo7Sym2 (a0123456789876543210 :: a0123456789876543210) (a0123456789876543210 :: b0123456789876543210) =+ Foo7 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Foo7Sym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) Foo7Sym1KindInference) ())+ data Foo7Sym1 (a0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210.+ (~>) b0123456789876543210 b0123456789876543210+ where+ Foo7Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Foo7Sym1 a0123456789876543210) arg) (Foo7Sym2 a0123456789876543210 arg) =>+ Foo7Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Foo7Sym1 a0123456789876543210) a0123456789876543210 = Foo7 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Foo7Sym0 where+ suppressUnusedWarnings = snd (((,) Foo7Sym0KindInference) ())+ data Foo7Sym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) a0123456789876543210 ((~>) b0123456789876543210 b0123456789876543210)+ where+ Foo7Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo7Sym0 arg) (Foo7Sym1 arg) =>+ Foo7Sym0 a0123456789876543210+ type instance Apply Foo7Sym0 a0123456789876543210 = Foo7Sym1 a0123456789876543210+ type Foo6Sym2 (a0123456789876543210 :: a0123456789876543210) (a0123456789876543210 :: b0123456789876543210) =+ Foo6 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Foo6Sym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) Foo6Sym1KindInference) ())+ data Foo6Sym1 (a0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210.+ (~>) b0123456789876543210 a0123456789876543210+ where+ Foo6Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Foo6Sym1 a0123456789876543210) arg) (Foo6Sym2 a0123456789876543210 arg) =>+ Foo6Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Foo6Sym1 a0123456789876543210) a0123456789876543210 = Foo6 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Foo6Sym0 where+ suppressUnusedWarnings = snd (((,) Foo6Sym0KindInference) ())+ data Foo6Sym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) a0123456789876543210 ((~>) b0123456789876543210 a0123456789876543210)+ where+ Foo6Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo6Sym0 arg) (Foo6Sym1 arg) =>+ Foo6Sym0 a0123456789876543210+ type instance Apply Foo6Sym0 a0123456789876543210 = Foo6Sym1 a0123456789876543210+ type Foo5Sym2 (a0123456789876543210 :: a0123456789876543210) (a0123456789876543210 :: b0123456789876543210) =+ Foo5 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Foo5Sym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) Foo5Sym1KindInference) ())+ data Foo5Sym1 (a0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210.+ (~>) b0123456789876543210 b0123456789876543210+ where+ Foo5Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Foo5Sym1 a0123456789876543210) arg) (Foo5Sym2 a0123456789876543210 arg) =>+ Foo5Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Foo5Sym1 a0123456789876543210) a0123456789876543210 = Foo5 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Foo5Sym0 where+ suppressUnusedWarnings = snd (((,) Foo5Sym0KindInference) ())+ data Foo5Sym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) a0123456789876543210 ((~>) b0123456789876543210 b0123456789876543210)+ where+ Foo5Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo5Sym0 arg) (Foo5Sym1 arg) =>+ Foo5Sym0 a0123456789876543210+ type instance Apply Foo5Sym0 a0123456789876543210 = Foo5Sym1 a0123456789876543210+ type Foo4Sym3 (a0123456789876543210 :: a0123456789876543210) (a0123456789876543210 :: b0123456789876543210) (a0123456789876543210 :: c0123456789876543210) =+ Foo4 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Foo4Sym2 a0123456789876543210 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) Foo4Sym2KindInference) ())+ data Foo4Sym2 (a0123456789876543210 :: a0123456789876543210) (a0123456789876543210 :: b0123456789876543210) :: forall c0123456789876543210.+ (~>) c0123456789876543210 a0123456789876543210+ where+ Foo4Sym2KindInference :: forall a0123456789876543210+ a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Foo4Sym2 a0123456789876543210 a0123456789876543210) arg) (Foo4Sym3 a0123456789876543210 a0123456789876543210 arg) =>+ Foo4Sym2 a0123456789876543210 a0123456789876543210 a0123456789876543210+ type instance Apply (Foo4Sym2 a0123456789876543210 a0123456789876543210) a0123456789876543210 = Foo4 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Foo4Sym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) Foo4Sym1KindInference) ())+ data Foo4Sym1 (a0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210+ c0123456789876543210.+ (~>) b0123456789876543210 ((~>) c0123456789876543210 a0123456789876543210)+ where+ Foo4Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Foo4Sym1 a0123456789876543210) arg) (Foo4Sym2 a0123456789876543210 arg) =>+ Foo4Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Foo4Sym1 a0123456789876543210) a0123456789876543210 = Foo4Sym2 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Foo4Sym0 where+ suppressUnusedWarnings = snd (((,) Foo4Sym0KindInference) ())+ data Foo4Sym0 :: forall a0123456789876543210+ b0123456789876543210+ c0123456789876543210.+ (~>) a0123456789876543210 ((~>) b0123456789876543210 ((~>) c0123456789876543210 a0123456789876543210))+ where+ Foo4Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo4Sym0 arg) (Foo4Sym1 arg) =>+ Foo4Sym0 a0123456789876543210+ type instance Apply Foo4Sym0 a0123456789876543210 = Foo4Sym1 a0123456789876543210+ type Foo3Sym1 (a0123456789876543210 :: a0123456789876543210) =+ Foo3 a0123456789876543210+ instance SuppressUnusedWarnings Foo3Sym0 where+ suppressUnusedWarnings = snd (((,) Foo3Sym0KindInference) ())+ data Foo3Sym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 a0123456789876543210+ where+ Foo3Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo3Sym0 arg) (Foo3Sym1 arg) =>+ Foo3Sym0 a0123456789876543210+ type instance Apply Foo3Sym0 a0123456789876543210 = Foo3 a0123456789876543210+ type Foo2Sym2 (a0123456789876543210 :: a0123456789876543210) (a0123456789876543210 :: b0123456789876543210) =+ Foo2 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Foo2Sym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) Foo2Sym1KindInference) ())+ data Foo2Sym1 (a0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210.+ (~>) b0123456789876543210 a0123456789876543210+ where+ Foo2Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Foo2Sym1 a0123456789876543210) arg) (Foo2Sym2 a0123456789876543210 arg) =>+ Foo2Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Foo2Sym1 a0123456789876543210) a0123456789876543210 = Foo2 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Foo2Sym0 where+ suppressUnusedWarnings = snd (((,) Foo2Sym0KindInference) ())+ data Foo2Sym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) a0123456789876543210 ((~>) b0123456789876543210 a0123456789876543210)+ where+ Foo2Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo2Sym0 arg) (Foo2Sym1 arg) =>+ Foo2Sym0 a0123456789876543210+ type instance Apply Foo2Sym0 a0123456789876543210 = Foo2Sym1 a0123456789876543210+ type Foo1Sym2 (a0123456789876543210 :: a0123456789876543210) (a0123456789876543210 :: b0123456789876543210) =+ Foo1 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Foo1Sym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) Foo1Sym1KindInference) ())+ data Foo1Sym1 (a0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210.+ (~>) b0123456789876543210 a0123456789876543210+ where+ Foo1Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Foo1Sym1 a0123456789876543210) arg) (Foo1Sym2 a0123456789876543210 arg) =>+ Foo1Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Foo1Sym1 a0123456789876543210) a0123456789876543210 = Foo1 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Foo1Sym0 where+ suppressUnusedWarnings = snd (((,) Foo1Sym0KindInference) ())+ data Foo1Sym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) a0123456789876543210 ((~>) b0123456789876543210 a0123456789876543210)+ where+ Foo1Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo1Sym0 arg) (Foo1Sym1 arg) =>+ Foo1Sym0 a0123456789876543210+ type instance Apply Foo1Sym0 a0123456789876543210 = Foo1Sym1 a0123456789876543210+ type Foo0Sym2 (a0123456789876543210 :: a0123456789876543210) (a0123456789876543210 :: b0123456789876543210) =+ Foo0 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Foo0Sym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) Foo0Sym1KindInference) ())+ data Foo0Sym1 (a0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210.+ (~>) b0123456789876543210 a0123456789876543210+ where+ Foo0Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Foo0Sym1 a0123456789876543210) arg) (Foo0Sym2 a0123456789876543210 arg) =>+ Foo0Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Foo0Sym1 a0123456789876543210) a0123456789876543210 = Foo0 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Foo0Sym0 where+ suppressUnusedWarnings = snd (((,) Foo0Sym0KindInference) ())+ data Foo0Sym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) a0123456789876543210 ((~>) b0123456789876543210 a0123456789876543210)+ where+ Foo0Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo0Sym0 arg) (Foo0Sym1 arg) =>+ Foo0Sym0 a0123456789876543210+ type instance Apply Foo0Sym0 a0123456789876543210 = Foo0Sym1 a0123456789876543210+ type family Foo8 (a :: Foo a b) :: a where+ Foo8 x = Apply (Apply Lambda_0123456789876543210Sym0 x) x+ type family Foo7 (a :: a) (a :: b) :: b where+ Foo7 x y = Apply (Apply (Apply Lambda_0123456789876543210Sym0 x) y) (Apply (Apply Tuple2Sym0 x) y)+ type family Foo6 (a :: a) (a :: b) :: a where+ Foo6 a b = Apply (Apply (Apply (Apply Lambda_0123456789876543210Sym0 a) b) a) b+ type family Foo5 (a :: a) (a :: b) :: b where+ Foo5 x y = Apply (Apply (Apply Lambda_0123456789876543210Sym0 x) y) y+ type family Foo4 (a :: a) (a :: b) (a :: c) :: a where+ Foo4 x y z = Apply (Apply (Apply (Apply (Apply Lambda_0123456789876543210Sym0 x) y) z) y) z+ type family Foo3 (a :: a) :: a where+ Foo3 x = Apply (Apply Lambda_0123456789876543210Sym0 x) x+ type family Foo2 (a :: a) (a :: b) :: a where+ Foo2 x y = Apply (Apply (Apply Lambda_0123456789876543210Sym0 x) y) y+ type family Foo1 (a :: a) (a :: b) :: a where+ Foo1 x a_0123456789876543210 = Apply (Apply (Apply Lambda_0123456789876543210Sym0 x) a_0123456789876543210) a_0123456789876543210+ type family Foo0 (a :: a) (a :: b) :: a where+ Foo0 a_0123456789876543210 a_0123456789876543210 = Apply (Apply (Apply (Apply Lambda_0123456789876543210Sym0 a_0123456789876543210) a_0123456789876543210) a_0123456789876543210) a_0123456789876543210+ sFoo8 ::+ forall a b (t :: Foo a b). Sing t -> Sing (Apply Foo8Sym0 t :: a)+ sFoo7 ::+ forall a b (t :: a) (t :: b).+ Sing t -> Sing t -> Sing (Apply (Apply Foo7Sym0 t) t :: b)+ sFoo6 ::+ forall a b (t :: a) (t :: b).+ Sing t -> Sing t -> Sing (Apply (Apply Foo6Sym0 t) t :: a)+ sFoo5 ::+ forall a b (t :: a) (t :: b).+ Sing t -> Sing t -> Sing (Apply (Apply Foo5Sym0 t) t :: b)+ sFoo4 ::+ forall a b c (t :: a) (t :: b) (t :: c).+ Sing t+ -> Sing t+ -> Sing t -> Sing (Apply (Apply (Apply Foo4Sym0 t) t) t :: a)+ sFoo3 :: forall a (t :: a). Sing t -> Sing (Apply Foo3Sym0 t :: a)+ sFoo2 ::+ forall a b (t :: a) (t :: b).+ Sing t -> Sing t -> Sing (Apply (Apply Foo2Sym0 t) t :: a)+ sFoo1 ::+ forall a b (t :: a) (t :: b).+ Sing t -> Sing t -> Sing (Apply (Apply Foo1Sym0 t) t :: a)+ sFoo0 ::+ forall a b (t :: a) (t :: b).+ Sing t -> Sing t -> Sing (Apply (Apply Foo0Sym0 t) t :: a)+ sFoo8 (sX :: Sing x)+ = (applySing+ ((singFun1 @(Apply Lambda_0123456789876543210Sym0 x))+ (\ sArg_0123456789876543210+ -> case sArg_0123456789876543210 of {+ (_ :: Sing arg_0123456789876543210)+ -> (case sArg_0123456789876543210 of {+ SFoo (sA :: Sing a) _ -> sA }) ::+ Sing (Case_0123456789876543210 x arg_0123456789876543210 arg_0123456789876543210) })))+ sX+ sFoo7 (sX :: Sing x) (sY :: Sing y)+ = (applySing+ ((singFun1 @(Apply (Apply Lambda_0123456789876543210Sym0 x) y))+ (\ sArg_0123456789876543210+ -> case sArg_0123456789876543210 of {+ (_ :: Sing arg_0123456789876543210)+ -> (case sArg_0123456789876543210 of {+ STuple2 _ (sB :: Sing b) -> sB }) ::+ Sing (Case_0123456789876543210 x y arg_0123456789876543210 arg_0123456789876543210) })))+ ((applySing ((applySing ((singFun2 @Tuple2Sym0) STuple2)) sX)) sY)+ sFoo6 (sA :: Sing a) (sB :: Sing b)+ = (applySing+ ((applySing+ ((singFun1 @(Apply (Apply Lambda_0123456789876543210Sym0 a) b))+ (\ sX+ -> case sX of {+ (_ :: Sing x)+ -> (singFun1+ @(Apply (Apply (Apply Lambda_0123456789876543210Sym0 a) b) x))+ (\ sArg_0123456789876543210+ -> case sArg_0123456789876543210 of {+ (_ :: Sing arg_0123456789876543210)+ -> (case sArg_0123456789876543210 of { _ -> sX }) ::+ Sing (Case_0123456789876543210 a b x arg_0123456789876543210 arg_0123456789876543210) }) })))+ sA))+ sB+ sFoo5 (sX :: Sing x) (sY :: Sing y)+ = (applySing+ ((singFun1 @(Apply (Apply Lambda_0123456789876543210Sym0 x) y))+ (\ sX -> case sX of { (_ :: Sing x) -> sX })))+ sY+ sFoo4 (sX :: Sing x) (sY :: Sing y) (sZ :: Sing z)+ = (applySing+ ((applySing+ ((singFun2+ @(Apply (Apply (Apply Lambda_0123456789876543210Sym0 x) y) z))+ (\ sArg_0123456789876543210 sArg_0123456789876543210+ -> case+ ((,) sArg_0123456789876543210) sArg_0123456789876543210+ of {+ (,) (_ :: Sing arg_0123456789876543210)+ (_ :: Sing arg_0123456789876543210)+ -> (case+ (applySing+ ((applySing ((singFun2 @Tuple2Sym0) STuple2))+ sArg_0123456789876543210))+ sArg_0123456789876543210+ of {+ STuple2 _ _ -> sX }) ::+ Sing (Case_0123456789876543210 x y z arg_0123456789876543210 arg_0123456789876543210 (Apply (Apply Tuple2Sym0 arg_0123456789876543210) arg_0123456789876543210)) })))+ sY))+ sZ+ sFoo3 (sX :: Sing x)+ = (applySing+ ((singFun1 @(Apply Lambda_0123456789876543210Sym0 x))+ (\ sY -> case sY of { (_ :: Sing y) -> sY })))+ sX+ sFoo2 (sX :: Sing x) (sY :: Sing y)+ = (applySing+ ((singFun1 @(Apply (Apply Lambda_0123456789876543210Sym0 x) y))+ (\ sArg_0123456789876543210+ -> case sArg_0123456789876543210 of {+ (_ :: Sing arg_0123456789876543210)+ -> (case sArg_0123456789876543210 of { _ -> sX }) ::+ Sing (Case_0123456789876543210 x y arg_0123456789876543210 arg_0123456789876543210) })))+ sY+ sFoo1+ (sX :: Sing x)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((singFun1+ @(Apply (Apply Lambda_0123456789876543210Sym0 x) a_0123456789876543210))+ (\ sArg_0123456789876543210+ -> case sArg_0123456789876543210 of {+ (_ :: Sing arg_0123456789876543210)+ -> (case sArg_0123456789876543210 of { _ -> sX }) ::+ Sing (Case_0123456789876543210 x arg_0123456789876543210 a_0123456789876543210 arg_0123456789876543210) })))+ sA_0123456789876543210+ sFoo0+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing+ ((singFun2+ @(Apply (Apply Lambda_0123456789876543210Sym0 a_0123456789876543210) a_0123456789876543210))+ (\ sX sY+ -> case ((,) sX) sY of { (,) (_ :: Sing x) (_ :: Sing y) -> sX })))+ sA_0123456789876543210))+ sA_0123456789876543210+ instance SingI (Foo8Sym0 :: (~>) (Foo a b) a) where+ sing = (singFun1 @Foo8Sym0) sFoo8+ instance SingI (Foo7Sym0 :: (~>) a ((~>) b b)) where+ sing = (singFun2 @Foo7Sym0) sFoo7+ instance SingI d => SingI (Foo7Sym1 (d :: a) :: (~>) b b) where+ sing = (singFun1 @(Foo7Sym1 (d :: a))) (sFoo7 (sing @d))+ instance SingI (Foo6Sym0 :: (~>) a ((~>) b a)) where+ sing = (singFun2 @Foo6Sym0) sFoo6+ instance SingI d => SingI (Foo6Sym1 (d :: a) :: (~>) b a) where+ sing = (singFun1 @(Foo6Sym1 (d :: a))) (sFoo6 (sing @d))+ instance SingI (Foo5Sym0 :: (~>) a ((~>) b b)) where+ sing = (singFun2 @Foo5Sym0) sFoo5+ instance SingI d => SingI (Foo5Sym1 (d :: a) :: (~>) b b) where+ sing = (singFun1 @(Foo5Sym1 (d :: a))) (sFoo5 (sing @d))+ instance SingI (Foo4Sym0 :: (~>) a ((~>) b ((~>) c a))) where+ sing = (singFun3 @Foo4Sym0) sFoo4+ instance SingI d =>+ SingI (Foo4Sym1 (d :: a) :: (~>) b ((~>) c a)) where+ sing = (singFun2 @(Foo4Sym1 (d :: a))) (sFoo4 (sing @d))+ instance (SingI d, SingI d) =>+ SingI (Foo4Sym2 (d :: a) (d :: b) :: (~>) c a) where+ sing+ = (singFun1 @(Foo4Sym2 (d :: a) (d :: b)))+ ((sFoo4 (sing @d)) (sing @d))+ instance SingI (Foo3Sym0 :: (~>) a a) where+ sing = (singFun1 @Foo3Sym0) sFoo3+ instance SingI (Foo2Sym0 :: (~>) a ((~>) b a)) where+ sing = (singFun2 @Foo2Sym0) sFoo2+ instance SingI d => SingI (Foo2Sym1 (d :: a) :: (~>) b a) where+ sing = (singFun1 @(Foo2Sym1 (d :: a))) (sFoo2 (sing @d))+ instance SingI (Foo1Sym0 :: (~>) a ((~>) b a)) where+ sing = (singFun2 @Foo1Sym0) sFoo1+ instance SingI d => SingI (Foo1Sym1 (d :: a) :: (~>) b a) where+ sing = (singFun1 @(Foo1Sym1 (d :: a))) (sFoo1 (sing @d))+ instance SingI (Foo0Sym0 :: (~>) a ((~>) b a)) where+ sing = (singFun2 @Foo0Sym0) sFoo0+ instance SingI d => SingI (Foo0Sym1 (d :: a) :: (~>) b a) where+ sing = (singFun1 @(Foo0Sym1 (d :: a))) (sFoo0 (sing @d))+ data instance Sing :: Foo a b -> GHC.Types.Type+ where+ SFoo :: forall a b (n :: a) (n :: b).+ (Sing (n :: a)) -> (Sing (n :: b)) -> Sing (Foo n n)+ type SFoo = (Sing :: Foo a b -> GHC.Types.Type)+ instance (SingKind a, SingKind b) => SingKind (Foo a b) where+ type Demote (Foo a b) = Foo (Demote a) (Demote b)+ fromSing (SFoo b b) = (Foo (fromSing b)) (fromSing b)+ toSing (Foo (b :: Demote a) (b :: Demote b))+ = case ((,) (toSing b :: SomeSing a)) (toSing b :: SomeSing b) of {+ (,) (SomeSing c) (SomeSing c) -> SomeSing ((SFoo c) c) }+ instance (SingI n, SingI n) => SingI (Foo (n :: a) (n :: b)) where+ sing = (SFoo sing) sing+ instance SingI (FooSym0 :: (~>) a ((~>) b (Foo a b))) where+ sing = (singFun2 @FooSym0) SFoo+ instance SingI (TyCon2 Foo :: (~>) a ((~>) b (Foo a b))) where+ sing = (singFun2 @(TyCon2 Foo)) SFoo+ instance SingI d =>+ SingI (FooSym1 (d :: a) :: (~>) b (Foo a b)) where+ sing = (singFun1 @(FooSym1 (d :: a))) (SFoo (sing @d))+ instance SingI d =>+ SingI (TyCon1 (Foo (d :: a)) :: (~>) b (Foo a b)) where+ sing = (singFun1 @(TyCon1 (Foo (d :: a)))) (SFoo (sing @d))
tests/compile-and-dump/Singletons/Lambdas.hs view
@@ -1,4 +1,4 @@-{-# OPTIONS_GHC -Wno-unused-matches -Wno-name-shadowing -Wno-unused-imports #-}+{-# OPTIONS_GHC -Wno-unused-matches -Wno-name-shadowing #-} {-# LANGUAGE UnboxedTuples #-} -- We expect unused binds and name shadowing in foo5 test.
− tests/compile-and-dump/Singletons/LambdasComprehensive.ghc84.template
@@ -1,71 +0,0 @@-Singletons/LambdasComprehensive.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| foo :: [Nat]- foo- = map (\ x -> either_ pred Succ x) [Left Zero, Right (Succ Zero)]- bar :: [Nat]- bar = map (either_ pred Succ) [Left Zero, Right (Succ Zero)] |]- ======>- foo :: [Nat]- foo- = (map (\ x -> ((either_ pred) Succ) x))- [Left Zero, Right (Succ Zero)]- bar :: [Nat]- bar = (map ((either_ pred) Succ)) [Left Zero, Right (Succ Zero)]- type family Lambda_0123456789876543210 t where- Lambda_0123456789876543210 x = Apply (Apply (Apply Either_Sym0 PredSym0) SuccSym0) x- type Lambda_0123456789876543210Sym1 t =- Lambda_0123456789876543210 t- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym0 l- = forall arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>- Lambda_0123456789876543210Sym0KindInference- type instance Apply Lambda_0123456789876543210Sym0 l = Lambda_0123456789876543210 l- type BarSym0 = Bar- type FooSym0 = Foo- type family Bar :: [Nat] where- Bar = Apply (Apply MapSym0 (Apply (Apply Either_Sym0 PredSym0) SuccSym0)) (Apply (Apply (:@#@$) (Apply LeftSym0 ZeroSym0)) (Apply (Apply (:@#@$) (Apply RightSym0 (Apply SuccSym0 ZeroSym0))) '[]))- type family Foo :: [Nat] where- Foo = Apply (Apply MapSym0 Lambda_0123456789876543210Sym0) (Apply (Apply (:@#@$) (Apply LeftSym0 ZeroSym0)) (Apply (Apply (:@#@$) (Apply RightSym0 (Apply SuccSym0 ZeroSym0))) '[]))- sBar :: Sing (BarSym0 :: [Nat])- sFoo :: Sing (FooSym0 :: [Nat])- sBar- = (applySing- ((applySing ((singFun2 @MapSym0) sMap))- ((applySing- ((applySing ((singFun3 @Either_Sym0) sEither_))- ((singFun1 @PredSym0) sPred)))- ((singFun1 @SuccSym0) SSucc))))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing ((singFun1 @LeftSym0) SLeft)) SZero)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing ((singFun1 @RightSym0) SRight))- ((applySing ((singFun1 @SuccSym0) SSucc)) SZero))))- SNil))- sFoo- = (applySing- ((applySing ((singFun2 @MapSym0) sMap))- ((singFun1 @Lambda_0123456789876543210Sym0)- (\ sX- -> case sX of {- _ :: Sing x- -> (applySing- ((applySing- ((applySing ((singFun3 @Either_Sym0) sEither_))- ((singFun1 @PredSym0) sPred)))- ((singFun1 @SuccSym0) SSucc)))- sX }))))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing ((singFun1 @LeftSym0) SLeft)) SZero)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing ((singFun1 @RightSym0) SRight))- ((applySing ((singFun1 @SuccSym0) SSucc)) SZero))))- SNil))
+ tests/compile-and-dump/Singletons/LambdasComprehensive.ghc86.template view
@@ -0,0 +1,71 @@+Singletons/LambdasComprehensive.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| foo :: [Nat]+ foo+ = map (\ x -> either_ pred Succ x) [Left Zero, Right (Succ Zero)]+ bar :: [Nat]+ bar = map (either_ pred Succ) [Left Zero, Right (Succ Zero)] |]+ ======>+ foo :: [Nat]+ foo+ = (map (\ x -> ((either_ pred) Succ) x))+ [Left Zero, Right (Succ Zero)]+ bar :: [Nat]+ bar = (map ((either_ pred) Succ)) [Left Zero, Right (Succ Zero)]+ type family Lambda_0123456789876543210 t where+ Lambda_0123456789876543210 x = Apply (Apply (Apply Either_Sym0 PredSym0) SuccSym0) x+ type Lambda_0123456789876543210Sym1 t0123456789876543210 =+ Lambda_0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 t0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 t0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 t0123456789876543210 = Lambda_0123456789876543210 t0123456789876543210+ type BarSym0 = Bar+ type FooSym0 = Foo+ type family Bar :: [Nat] where+ Bar = Apply (Apply MapSym0 (Apply (Apply Either_Sym0 PredSym0) SuccSym0)) (Apply (Apply (:@#@$) (Apply LeftSym0 ZeroSym0)) (Apply (Apply (:@#@$) (Apply RightSym0 (Apply SuccSym0 ZeroSym0))) '[]))+ type family Foo :: [Nat] where+ Foo = Apply (Apply MapSym0 Lambda_0123456789876543210Sym0) (Apply (Apply (:@#@$) (Apply LeftSym0 ZeroSym0)) (Apply (Apply (:@#@$) (Apply RightSym0 (Apply SuccSym0 ZeroSym0))) '[]))+ sBar :: Sing (BarSym0 :: [Nat])+ sFoo :: Sing (FooSym0 :: [Nat])+ sBar+ = (applySing+ ((applySing ((singFun2 @MapSym0) sMap))+ ((applySing+ ((applySing ((singFun3 @Either_Sym0) sEither_))+ ((singFun1 @PredSym0) sPred)))+ ((singFun1 @SuccSym0) SSucc))))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing ((singFun1 @LeftSym0) SLeft)) SZero)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing ((singFun1 @RightSym0) SRight))+ ((applySing ((singFun1 @SuccSym0) SSucc)) SZero))))+ SNil))+ sFoo+ = (applySing+ ((applySing ((singFun2 @MapSym0) sMap))+ ((singFun1 @Lambda_0123456789876543210Sym0)+ (\ sX+ -> case sX of {+ (_ :: Sing x)+ -> (applySing+ ((applySing+ ((applySing ((singFun3 @Either_Sym0) sEither_))+ ((singFun1 @PredSym0) sPred)))+ ((singFun1 @SuccSym0) SSucc)))+ sX }))))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing ((singFun1 @LeftSym0) SLeft)) SZero)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing ((singFun1 @RightSym0) SRight))+ ((applySing ((singFun1 @SuccSym0) SSucc)) SZero))))+ SNil))
− tests/compile-and-dump/Singletons/LetStatements.ghc84.template
@@ -1,908 +0,0 @@-Singletons/LetStatements.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| foo1 :: Nat -> Nat- foo1 x- = let- y :: Nat- y = Succ Zero- in y- foo2 :: Nat- foo2- = let- y = Succ Zero- z = Succ y- in z- foo3 :: Nat -> Nat- foo3 x- = let- y :: Nat- y = Succ x- in y- foo4 :: Nat -> Nat- foo4 x- = let- f :: Nat -> Nat- f y = Succ y- in f x- foo5 :: Nat -> Nat- foo5 x- = let- f :: Nat -> Nat- f y- = let- z :: Nat- z = Succ y- in Succ z- in f x- foo6 :: Nat -> Nat- foo6 x- = let- f :: Nat -> Nat- f y = Succ y in- let- z :: Nat- z = f x- in z- foo7 :: Nat -> Nat- foo7 x- = let- x :: Nat- x = Zero- in x- foo8 :: Nat -> Nat- foo8 x- = let- z :: Nat- z = (\ x -> x) Zero- in z- foo9 :: Nat -> Nat- foo9 x- = let- z :: Nat -> Nat- z = (\ x -> x)- in z x- foo10 :: Nat -> Nat- foo10 x- = let- (+) :: Nat -> Nat -> Nat- Zero + m = m- (Succ n) + m = Succ (n + m)- in (Succ Zero) + x- foo11 :: Nat -> Nat- foo11 x- = let- (+) :: Nat -> Nat -> Nat- Zero + m = m- (Succ n) + m = Succ (n + m)- z :: Nat- z = x- in (Succ Zero) + z- foo12 :: Nat -> Nat- foo12 x- = let- (+) :: Nat -> Nat -> Nat- Zero + m = m- (Succ n) + m = Succ (n + x)- in x + (Succ (Succ Zero))- foo13 :: forall a. a -> a- foo13 x- = let- bar :: a- bar = x- in foo13_ bar- foo13_ :: a -> a- foo13_ y = y- foo14 :: Nat -> (Nat, Nat)- foo14 x = let (y, z) = (Succ x, x) in (z, y) |]- ======>- foo1 :: Nat -> Nat- foo1 x- = let- y :: Nat- y = Succ Zero- in y- foo2 :: Nat- foo2- = let- y = Succ Zero- z = Succ y- in z- foo3 :: Nat -> Nat- foo3 x- = let- y :: Nat- y = Succ x- in y- foo4 :: Nat -> Nat- foo4 x- = let- f :: Nat -> Nat- f y = Succ y- in f x- foo5 :: Nat -> Nat- foo5 x- = let- f :: Nat -> Nat- f y- = let- z :: Nat- z = Succ y- in Succ z- in f x- foo6 :: Nat -> Nat- foo6 x- = let- f :: Nat -> Nat- f y = Succ y in- let- z :: Nat- z = f x- in z- foo7 :: Nat -> Nat- foo7 x- = let- x :: Nat- x = Zero- in x- foo8 :: Nat -> Nat- foo8 x- = let- z :: Nat- z = (\ x -> x) Zero- in z- foo9 :: Nat -> Nat- foo9 x- = let- z :: Nat -> Nat- z = \ x -> x- in z x- foo10 :: Nat -> Nat- foo10 x- = let- (+) :: Nat -> Nat -> Nat- (+) Zero m = m- (+) (Succ n) m = Succ (n + m)- in ((Succ Zero) + x)- foo11 :: Nat -> Nat- foo11 x- = let- (+) :: Nat -> Nat -> Nat- z :: Nat- (+) Zero m = m- (+) (Succ n) m = Succ (n + m)- z = x- in ((Succ Zero) + z)- foo12 :: Nat -> Nat- foo12 x- = let- (+) :: Nat -> Nat -> Nat- (+) Zero m = m- (+) (Succ n) m = Succ (n + x)- in (x + (Succ (Succ Zero)))- foo13 :: forall a. a -> a- foo13 x- = let- bar :: a- bar = x- in foo13_ bar- foo13_ :: a -> a- foo13_ y = y- foo14 :: Nat -> (Nat, Nat)- foo14 x = let (y, z) = (Succ x, x) in (z, y)- type family Case_0123456789876543210 x t where- Case_0123456789876543210 x '(y_0123456789876543210,- _) = y_0123456789876543210- type family Case_0123456789876543210 x t where- Case_0123456789876543210 x '(_,- y_0123456789876543210) = y_0123456789876543210- type Let0123456789876543210YSym1 t = Let0123456789876543210Y t- instance SuppressUnusedWarnings Let0123456789876543210YSym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210YSym0KindInference)- GHC.Tuple.())- data Let0123456789876543210YSym0 l- = forall arg. SameKind (Apply Let0123456789876543210YSym0 arg) (Let0123456789876543210YSym1 arg) =>- Let0123456789876543210YSym0KindInference- type instance Apply Let0123456789876543210YSym0 l = Let0123456789876543210Y l- type Let0123456789876543210ZSym1 t = Let0123456789876543210Z t- instance SuppressUnusedWarnings Let0123456789876543210ZSym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210ZSym0KindInference)- GHC.Tuple.())- data Let0123456789876543210ZSym0 l- = forall arg. SameKind (Apply Let0123456789876543210ZSym0 arg) (Let0123456789876543210ZSym1 arg) =>- Let0123456789876543210ZSym0KindInference- type instance Apply Let0123456789876543210ZSym0 l = Let0123456789876543210Z l- type Let0123456789876543210X_0123456789876543210Sym1 t =- Let0123456789876543210X_0123456789876543210 t- instance SuppressUnusedWarnings Let0123456789876543210X_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,)- Let0123456789876543210X_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Let0123456789876543210X_0123456789876543210Sym0 l- = forall arg. SameKind (Apply Let0123456789876543210X_0123456789876543210Sym0 arg) (Let0123456789876543210X_0123456789876543210Sym1 arg) =>- Let0123456789876543210X_0123456789876543210Sym0KindInference- type instance Apply Let0123456789876543210X_0123456789876543210Sym0 l = Let0123456789876543210X_0123456789876543210 l- type family Let0123456789876543210Y x where- Let0123456789876543210Y x = Case_0123456789876543210 x (Let0123456789876543210X_0123456789876543210Sym1 x)- type family Let0123456789876543210Z x where- Let0123456789876543210Z x = Case_0123456789876543210 x (Let0123456789876543210X_0123456789876543210Sym1 x)- type family Let0123456789876543210X_0123456789876543210 x where- Let0123456789876543210X_0123456789876543210 x = Apply (Apply Tuple2Sym0 (Apply SuccSym0 x)) x- type Let0123456789876543210BarSym1 t = Let0123456789876543210Bar t- instance SuppressUnusedWarnings Let0123456789876543210BarSym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210BarSym0KindInference)- GHC.Tuple.())- data Let0123456789876543210BarSym0 l- = forall arg. SameKind (Apply Let0123456789876543210BarSym0 arg) (Let0123456789876543210BarSym1 arg) =>- Let0123456789876543210BarSym0KindInference- type instance Apply Let0123456789876543210BarSym0 l = Let0123456789876543210Bar l- type family Let0123456789876543210Bar x :: a where- Let0123456789876543210Bar x = x- type (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$$) t (t :: Nat) (t :: Nat) =- (<<<%%%%%%%%%%%%%%%%%%%%) t t t- instance SuppressUnusedWarnings (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$$###)) GHC.Tuple.())- data (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l (l :: Nat) (l :: TyFun Nat Nat)- = forall arg. SameKind (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l l) arg) ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$$) l l arg) =>- (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$$###)- type instance Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l l) l = (<<<%%%%%%%%%%%%%%%%%%%%) l l l- instance SuppressUnusedWarnings (<<<%%%%%%%%%%%%%%%%%%%%@#@$$) where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$###)) GHC.Tuple.())- data (<<<%%%%%%%%%%%%%%%%%%%%@#@$$) l (l :: TyFun Nat (TyFun Nat Nat- -> GHC.Types.Type))- = forall arg. SameKind (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) l) arg) ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l arg) =>- (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$###)- type instance Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) l) l = (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l l- instance SuppressUnusedWarnings (<<<%%%%%%%%%%%%%%%%%%%%@#@$) where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) (:<<<%%%%%%%%%%%%%%%%%%%%@#@$###)) GHC.Tuple.())- data (<<<%%%%%%%%%%%%%%%%%%%%@#@$) l- = forall arg. SameKind (Apply (<<<%%%%%%%%%%%%%%%%%%%%@#@$) arg) ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) arg) =>- (:<<<%%%%%%%%%%%%%%%%%%%%@#@$###)- type instance Apply (<<<%%%%%%%%%%%%%%%%%%%%@#@$) l = (<<<%%%%%%%%%%%%%%%%%%%%@#@$$) l- type family (<<<%%%%%%%%%%%%%%%%%%%%) x (a :: Nat) (a :: Nat) :: Nat where- (<<<%%%%%%%%%%%%%%%%%%%%) x Zero m = m- (<<<%%%%%%%%%%%%%%%%%%%%) x (Succ n) m = Apply SuccSym0 (Apply (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x) n) x)- type Let0123456789876543210ZSym1 t = Let0123456789876543210Z t- instance SuppressUnusedWarnings Let0123456789876543210ZSym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210ZSym0KindInference)- GHC.Tuple.())- data Let0123456789876543210ZSym0 l- = forall arg. SameKind (Apply Let0123456789876543210ZSym0 arg) (Let0123456789876543210ZSym1 arg) =>- Let0123456789876543210ZSym0KindInference- type instance Apply Let0123456789876543210ZSym0 l = Let0123456789876543210Z l- type (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$$) t (t :: Nat) (t :: Nat) =- (<<<%%%%%%%%%%%%%%%%%%%%) t t t- instance SuppressUnusedWarnings (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$$###)) GHC.Tuple.())- data (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l (l :: Nat) (l :: TyFun Nat Nat)- = forall arg. SameKind (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l l) arg) ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$$) l l arg) =>- (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$$###)- type instance Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l l) l = (<<<%%%%%%%%%%%%%%%%%%%%) l l l- instance SuppressUnusedWarnings (<<<%%%%%%%%%%%%%%%%%%%%@#@$$) where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$###)) GHC.Tuple.())- data (<<<%%%%%%%%%%%%%%%%%%%%@#@$$) l (l :: TyFun Nat (TyFun Nat Nat- -> GHC.Types.Type))- = forall arg. SameKind (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) l) arg) ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l arg) =>- (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$###)- type instance Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) l) l = (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l l- instance SuppressUnusedWarnings (<<<%%%%%%%%%%%%%%%%%%%%@#@$) where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) (:<<<%%%%%%%%%%%%%%%%%%%%@#@$###)) GHC.Tuple.())- data (<<<%%%%%%%%%%%%%%%%%%%%@#@$) l- = forall arg. SameKind (Apply (<<<%%%%%%%%%%%%%%%%%%%%@#@$) arg) ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) arg) =>- (:<<<%%%%%%%%%%%%%%%%%%%%@#@$###)- type instance Apply (<<<%%%%%%%%%%%%%%%%%%%%@#@$) l = (<<<%%%%%%%%%%%%%%%%%%%%@#@$$) l- type family Let0123456789876543210Z x :: Nat where- Let0123456789876543210Z x = x- type family (<<<%%%%%%%%%%%%%%%%%%%%) x (a :: Nat) (a :: Nat) :: Nat where- (<<<%%%%%%%%%%%%%%%%%%%%) x Zero m = m- (<<<%%%%%%%%%%%%%%%%%%%%) x (Succ n) m = Apply SuccSym0 (Apply (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x) n) m)- type (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$$) t (t :: Nat) (t :: Nat) =- (<<<%%%%%%%%%%%%%%%%%%%%) t t t- instance SuppressUnusedWarnings (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$$###)) GHC.Tuple.())- data (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l (l :: Nat) (l :: TyFun Nat Nat)- = forall arg. SameKind (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l l) arg) ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$$) l l arg) =>- (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$$###)- type instance Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l l) l = (<<<%%%%%%%%%%%%%%%%%%%%) l l l- instance SuppressUnusedWarnings (<<<%%%%%%%%%%%%%%%%%%%%@#@$$) where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$###)) GHC.Tuple.())- data (<<<%%%%%%%%%%%%%%%%%%%%@#@$$) l (l :: TyFun Nat (TyFun Nat Nat- -> GHC.Types.Type))- = forall arg. SameKind (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) l) arg) ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l arg) =>- (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$###)- type instance Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) l) l = (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l l- instance SuppressUnusedWarnings (<<<%%%%%%%%%%%%%%%%%%%%@#@$) where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) (:<<<%%%%%%%%%%%%%%%%%%%%@#@$###)) GHC.Tuple.())- data (<<<%%%%%%%%%%%%%%%%%%%%@#@$) l- = forall arg. SameKind (Apply (<<<%%%%%%%%%%%%%%%%%%%%@#@$) arg) ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) arg) =>- (:<<<%%%%%%%%%%%%%%%%%%%%@#@$###)- type instance Apply (<<<%%%%%%%%%%%%%%%%%%%%@#@$) l = (<<<%%%%%%%%%%%%%%%%%%%%@#@$$) l- type family (<<<%%%%%%%%%%%%%%%%%%%%) x (a :: Nat) (a :: Nat) :: Nat where- (<<<%%%%%%%%%%%%%%%%%%%%) x Zero m = m- (<<<%%%%%%%%%%%%%%%%%%%%) x (Succ n) m = Apply SuccSym0 (Apply (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x) n) m)- type family Lambda_0123456789876543210 x a_0123456789876543210 t where- Lambda_0123456789876543210 x a_0123456789876543210 x = x- type Lambda_0123456789876543210Sym3 t t t =- Lambda_0123456789876543210 t t t- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym2 l l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym2 l l) arg) (Lambda_0123456789876543210Sym3 l l arg) =>- Lambda_0123456789876543210Sym2KindInference- type instance Apply (Lambda_0123456789876543210Sym2 l l) l = Lambda_0123456789876543210 l l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym1 l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym1 l) arg) (Lambda_0123456789876543210Sym2 l arg) =>- Lambda_0123456789876543210Sym1KindInference- type instance Apply (Lambda_0123456789876543210Sym1 l) l = Lambda_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym0 l- = forall arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>- Lambda_0123456789876543210Sym0KindInference- type instance Apply Lambda_0123456789876543210Sym0 l = Lambda_0123456789876543210Sym1 l- type Let0123456789876543210ZSym2 t (t :: Nat) =- Let0123456789876543210Z t t- instance SuppressUnusedWarnings Let0123456789876543210ZSym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210ZSym1KindInference)- GHC.Tuple.())- data Let0123456789876543210ZSym1 l (l :: TyFun Nat Nat)- = forall arg. SameKind (Apply (Let0123456789876543210ZSym1 l) arg) (Let0123456789876543210ZSym2 l arg) =>- Let0123456789876543210ZSym1KindInference- type instance Apply (Let0123456789876543210ZSym1 l) l = Let0123456789876543210Z l l- instance SuppressUnusedWarnings Let0123456789876543210ZSym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210ZSym0KindInference)- GHC.Tuple.())- data Let0123456789876543210ZSym0 l- = forall arg. SameKind (Apply Let0123456789876543210ZSym0 arg) (Let0123456789876543210ZSym1 arg) =>- Let0123456789876543210ZSym0KindInference- type instance Apply Let0123456789876543210ZSym0 l = Let0123456789876543210ZSym1 l- type family Let0123456789876543210Z x (a :: Nat) :: Nat where- Let0123456789876543210Z x a_0123456789876543210 = Apply (Apply (Apply Lambda_0123456789876543210Sym0 x) a_0123456789876543210) a_0123456789876543210- type family Lambda_0123456789876543210 x t where- Lambda_0123456789876543210 x x = x- type Lambda_0123456789876543210Sym2 t t =- Lambda_0123456789876543210 t t- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym1 l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym1 l) arg) (Lambda_0123456789876543210Sym2 l arg) =>- Lambda_0123456789876543210Sym1KindInference- type instance Apply (Lambda_0123456789876543210Sym1 l) l = Lambda_0123456789876543210 l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym0 l- = forall arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>- Lambda_0123456789876543210Sym0KindInference- type instance Apply Lambda_0123456789876543210Sym0 l = Lambda_0123456789876543210Sym1 l- type Let0123456789876543210ZSym1 t = Let0123456789876543210Z t- instance SuppressUnusedWarnings Let0123456789876543210ZSym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210ZSym0KindInference)- GHC.Tuple.())- data Let0123456789876543210ZSym0 l- = forall arg. SameKind (Apply Let0123456789876543210ZSym0 arg) (Let0123456789876543210ZSym1 arg) =>- Let0123456789876543210ZSym0KindInference- type instance Apply Let0123456789876543210ZSym0 l = Let0123456789876543210Z l- type family Let0123456789876543210Z x :: Nat where- Let0123456789876543210Z x = Apply (Apply Lambda_0123456789876543210Sym0 x) ZeroSym0- type Let0123456789876543210XSym1 t = Let0123456789876543210X t- instance SuppressUnusedWarnings Let0123456789876543210XSym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210XSym0KindInference)- GHC.Tuple.())- data Let0123456789876543210XSym0 l- = forall arg. SameKind (Apply Let0123456789876543210XSym0 arg) (Let0123456789876543210XSym1 arg) =>- Let0123456789876543210XSym0KindInference- type instance Apply Let0123456789876543210XSym0 l = Let0123456789876543210X l- type family Let0123456789876543210X x :: Nat where- Let0123456789876543210X x = ZeroSym0- type Let0123456789876543210FSym2 t (t :: Nat) =- Let0123456789876543210F t t- instance SuppressUnusedWarnings Let0123456789876543210FSym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210FSym1KindInference)- GHC.Tuple.())- data Let0123456789876543210FSym1 l (l :: TyFun Nat Nat)- = forall arg. SameKind (Apply (Let0123456789876543210FSym1 l) arg) (Let0123456789876543210FSym2 l arg) =>- Let0123456789876543210FSym1KindInference- type instance Apply (Let0123456789876543210FSym1 l) l = Let0123456789876543210F l l- instance SuppressUnusedWarnings Let0123456789876543210FSym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210FSym0KindInference)- GHC.Tuple.())- data Let0123456789876543210FSym0 l- = forall arg. SameKind (Apply Let0123456789876543210FSym0 arg) (Let0123456789876543210FSym1 arg) =>- Let0123456789876543210FSym0KindInference- type instance Apply Let0123456789876543210FSym0 l = Let0123456789876543210FSym1 l- type family Let0123456789876543210F x (a :: Nat) :: Nat where- Let0123456789876543210F x y = Apply SuccSym0 y- type Let0123456789876543210ZSym1 t = Let0123456789876543210Z t- instance SuppressUnusedWarnings Let0123456789876543210ZSym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210ZSym0KindInference)- GHC.Tuple.())- data Let0123456789876543210ZSym0 l- = forall arg. SameKind (Apply Let0123456789876543210ZSym0 arg) (Let0123456789876543210ZSym1 arg) =>- Let0123456789876543210ZSym0KindInference- type instance Apply Let0123456789876543210ZSym0 l = Let0123456789876543210Z l- type family Let0123456789876543210Z x :: Nat where- Let0123456789876543210Z x = Apply (Let0123456789876543210FSym1 x) x- type Let0123456789876543210ZSym2 t t = Let0123456789876543210Z t t- instance SuppressUnusedWarnings Let0123456789876543210ZSym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210ZSym1KindInference)- GHC.Tuple.())- data Let0123456789876543210ZSym1 l l- = forall arg. SameKind (Apply (Let0123456789876543210ZSym1 l) arg) (Let0123456789876543210ZSym2 l arg) =>- Let0123456789876543210ZSym1KindInference- type instance Apply (Let0123456789876543210ZSym1 l) l = Let0123456789876543210Z l l- instance SuppressUnusedWarnings Let0123456789876543210ZSym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210ZSym0KindInference)- GHC.Tuple.())- data Let0123456789876543210ZSym0 l- = forall arg. SameKind (Apply Let0123456789876543210ZSym0 arg) (Let0123456789876543210ZSym1 arg) =>- Let0123456789876543210ZSym0KindInference- type instance Apply Let0123456789876543210ZSym0 l = Let0123456789876543210ZSym1 l- type family Let0123456789876543210Z x y :: Nat where- Let0123456789876543210Z x y = Apply SuccSym0 y- type Let0123456789876543210FSym2 t (t :: Nat) =- Let0123456789876543210F t t- instance SuppressUnusedWarnings Let0123456789876543210FSym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210FSym1KindInference)- GHC.Tuple.())- data Let0123456789876543210FSym1 l (l :: TyFun Nat Nat)- = forall arg. SameKind (Apply (Let0123456789876543210FSym1 l) arg) (Let0123456789876543210FSym2 l arg) =>- Let0123456789876543210FSym1KindInference- type instance Apply (Let0123456789876543210FSym1 l) l = Let0123456789876543210F l l- instance SuppressUnusedWarnings Let0123456789876543210FSym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210FSym0KindInference)- GHC.Tuple.())- data Let0123456789876543210FSym0 l- = forall arg. SameKind (Apply Let0123456789876543210FSym0 arg) (Let0123456789876543210FSym1 arg) =>- Let0123456789876543210FSym0KindInference- type instance Apply Let0123456789876543210FSym0 l = Let0123456789876543210FSym1 l- type family Let0123456789876543210F x (a :: Nat) :: Nat where- Let0123456789876543210F x y = Apply SuccSym0 (Let0123456789876543210ZSym2 x y)- type Let0123456789876543210FSym2 t (t :: Nat) =- Let0123456789876543210F t t- instance SuppressUnusedWarnings Let0123456789876543210FSym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210FSym1KindInference)- GHC.Tuple.())- data Let0123456789876543210FSym1 l (l :: TyFun Nat Nat)- = forall arg. SameKind (Apply (Let0123456789876543210FSym1 l) arg) (Let0123456789876543210FSym2 l arg) =>- Let0123456789876543210FSym1KindInference- type instance Apply (Let0123456789876543210FSym1 l) l = Let0123456789876543210F l l- instance SuppressUnusedWarnings Let0123456789876543210FSym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210FSym0KindInference)- GHC.Tuple.())- data Let0123456789876543210FSym0 l- = forall arg. SameKind (Apply Let0123456789876543210FSym0 arg) (Let0123456789876543210FSym1 arg) =>- Let0123456789876543210FSym0KindInference- type instance Apply Let0123456789876543210FSym0 l = Let0123456789876543210FSym1 l- type family Let0123456789876543210F x (a :: Nat) :: Nat where- Let0123456789876543210F x y = Apply SuccSym0 y- type Let0123456789876543210YSym1 t = Let0123456789876543210Y t- instance SuppressUnusedWarnings Let0123456789876543210YSym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210YSym0KindInference)- GHC.Tuple.())- data Let0123456789876543210YSym0 l- = forall arg. SameKind (Apply Let0123456789876543210YSym0 arg) (Let0123456789876543210YSym1 arg) =>- Let0123456789876543210YSym0KindInference- type instance Apply Let0123456789876543210YSym0 l = Let0123456789876543210Y l- type family Let0123456789876543210Y x :: Nat where- Let0123456789876543210Y x = Apply SuccSym0 x- type Let0123456789876543210YSym0 = Let0123456789876543210Y- type Let0123456789876543210ZSym0 = Let0123456789876543210Z- type family Let0123456789876543210Y where- Let0123456789876543210Y = Apply SuccSym0 ZeroSym0- type family Let0123456789876543210Z where- Let0123456789876543210Z = Apply SuccSym0 Let0123456789876543210YSym0- type Let0123456789876543210YSym1 t = Let0123456789876543210Y t- instance SuppressUnusedWarnings Let0123456789876543210YSym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210YSym0KindInference)- GHC.Tuple.())- data Let0123456789876543210YSym0 l- = forall arg. SameKind (Apply Let0123456789876543210YSym0 arg) (Let0123456789876543210YSym1 arg) =>- Let0123456789876543210YSym0KindInference- type instance Apply Let0123456789876543210YSym0 l = Let0123456789876543210Y l- type family Let0123456789876543210Y x :: Nat where- Let0123456789876543210Y x = Apply SuccSym0 ZeroSym0- type Foo14Sym1 (t :: Nat) = Foo14 t- instance SuppressUnusedWarnings Foo14Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo14Sym0KindInference) GHC.Tuple.())- data Foo14Sym0 (l :: TyFun Nat (Nat, Nat))- = forall arg. SameKind (Apply Foo14Sym0 arg) (Foo14Sym1 arg) =>- Foo14Sym0KindInference- type instance Apply Foo14Sym0 l = Foo14 l- type Foo13_Sym1 (t :: a0123456789876543210) = Foo13_ t- instance SuppressUnusedWarnings Foo13_Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo13_Sym0KindInference) GHC.Tuple.())- data Foo13_Sym0 (l :: TyFun a0123456789876543210 a0123456789876543210)- = forall arg. SameKind (Apply Foo13_Sym0 arg) (Foo13_Sym1 arg) =>- Foo13_Sym0KindInference- type instance Apply Foo13_Sym0 l = Foo13_ l- type Foo13Sym1 (t :: a0123456789876543210) = Foo13 t- instance SuppressUnusedWarnings Foo13Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo13Sym0KindInference) GHC.Tuple.())- data Foo13Sym0 (l :: TyFun a0123456789876543210 a0123456789876543210)- = forall arg. SameKind (Apply Foo13Sym0 arg) (Foo13Sym1 arg) =>- Foo13Sym0KindInference- type instance Apply Foo13Sym0 l = Foo13 l- type Foo12Sym1 (t :: Nat) = Foo12 t- instance SuppressUnusedWarnings Foo12Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo12Sym0KindInference) GHC.Tuple.())- data Foo12Sym0 (l :: TyFun Nat Nat)- = forall arg. SameKind (Apply Foo12Sym0 arg) (Foo12Sym1 arg) =>- Foo12Sym0KindInference- type instance Apply Foo12Sym0 l = Foo12 l- type Foo11Sym1 (t :: Nat) = Foo11 t- instance SuppressUnusedWarnings Foo11Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo11Sym0KindInference) GHC.Tuple.())- data Foo11Sym0 (l :: TyFun Nat Nat)- = forall arg. SameKind (Apply Foo11Sym0 arg) (Foo11Sym1 arg) =>- Foo11Sym0KindInference- type instance Apply Foo11Sym0 l = Foo11 l- type Foo10Sym1 (t :: Nat) = Foo10 t- instance SuppressUnusedWarnings Foo10Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo10Sym0KindInference) GHC.Tuple.())- data Foo10Sym0 (l :: TyFun Nat Nat)- = forall arg. SameKind (Apply Foo10Sym0 arg) (Foo10Sym1 arg) =>- Foo10Sym0KindInference- type instance Apply Foo10Sym0 l = Foo10 l- type Foo9Sym1 (t :: Nat) = Foo9 t- instance SuppressUnusedWarnings Foo9Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo9Sym0KindInference) GHC.Tuple.())- data Foo9Sym0 (l :: TyFun Nat Nat)- = forall arg. SameKind (Apply Foo9Sym0 arg) (Foo9Sym1 arg) =>- Foo9Sym0KindInference- type instance Apply Foo9Sym0 l = Foo9 l- type Foo8Sym1 (t :: Nat) = Foo8 t- instance SuppressUnusedWarnings Foo8Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo8Sym0KindInference) GHC.Tuple.())- data Foo8Sym0 (l :: TyFun Nat Nat)- = forall arg. SameKind (Apply Foo8Sym0 arg) (Foo8Sym1 arg) =>- Foo8Sym0KindInference- type instance Apply Foo8Sym0 l = Foo8 l- type Foo7Sym1 (t :: Nat) = Foo7 t- instance SuppressUnusedWarnings Foo7Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo7Sym0KindInference) GHC.Tuple.())- data Foo7Sym0 (l :: TyFun Nat Nat)- = forall arg. SameKind (Apply Foo7Sym0 arg) (Foo7Sym1 arg) =>- Foo7Sym0KindInference- type instance Apply Foo7Sym0 l = Foo7 l- type Foo6Sym1 (t :: Nat) = Foo6 t- instance SuppressUnusedWarnings Foo6Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo6Sym0KindInference) GHC.Tuple.())- data Foo6Sym0 (l :: TyFun Nat Nat)- = forall arg. SameKind (Apply Foo6Sym0 arg) (Foo6Sym1 arg) =>- Foo6Sym0KindInference- type instance Apply Foo6Sym0 l = Foo6 l- type Foo5Sym1 (t :: Nat) = Foo5 t- instance SuppressUnusedWarnings Foo5Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo5Sym0KindInference) GHC.Tuple.())- data Foo5Sym0 (l :: TyFun Nat Nat)- = forall arg. SameKind (Apply Foo5Sym0 arg) (Foo5Sym1 arg) =>- Foo5Sym0KindInference- type instance Apply Foo5Sym0 l = Foo5 l- type Foo4Sym1 (t :: Nat) = Foo4 t- instance SuppressUnusedWarnings Foo4Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo4Sym0KindInference) GHC.Tuple.())- data Foo4Sym0 (l :: TyFun Nat Nat)- = forall arg. SameKind (Apply Foo4Sym0 arg) (Foo4Sym1 arg) =>- Foo4Sym0KindInference- type instance Apply Foo4Sym0 l = Foo4 l- type Foo3Sym1 (t :: Nat) = Foo3 t- instance SuppressUnusedWarnings Foo3Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo3Sym0KindInference) GHC.Tuple.())- data Foo3Sym0 (l :: TyFun Nat Nat)- = forall arg. SameKind (Apply Foo3Sym0 arg) (Foo3Sym1 arg) =>- Foo3Sym0KindInference- type instance Apply Foo3Sym0 l = Foo3 l- type Foo2Sym0 = Foo2- type Foo1Sym1 (t :: Nat) = Foo1 t- instance SuppressUnusedWarnings Foo1Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo1Sym0KindInference) GHC.Tuple.())- data Foo1Sym0 (l :: TyFun Nat Nat)- = forall arg. SameKind (Apply Foo1Sym0 arg) (Foo1Sym1 arg) =>- Foo1Sym0KindInference- type instance Apply Foo1Sym0 l = Foo1 l- type family Foo14 (a :: Nat) :: (Nat, Nat) where- Foo14 x = Apply (Apply Tuple2Sym0 (Let0123456789876543210ZSym1 x)) (Let0123456789876543210YSym1 x)- type family Foo13_ (a :: a) :: a where- Foo13_ y = y- type family Foo13 (a :: a) :: a where- Foo13 x = Apply Foo13_Sym0 (Let0123456789876543210BarSym1 x)- type family Foo12 (a :: Nat) :: Nat where- Foo12 x = Apply (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x) x) (Apply SuccSym0 (Apply SuccSym0 ZeroSym0))- type family Foo11 (a :: Nat) :: Nat where- Foo11 x = Apply (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x) (Apply SuccSym0 ZeroSym0)) (Let0123456789876543210ZSym1 x)- type family Foo10 (a :: Nat) :: Nat where- Foo10 x = Apply (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x) (Apply SuccSym0 ZeroSym0)) x- type family Foo9 (a :: Nat) :: Nat where- Foo9 x = Apply (Let0123456789876543210ZSym1 x) x- type family Foo8 (a :: Nat) :: Nat where- Foo8 x = Let0123456789876543210ZSym1 x- type family Foo7 (a :: Nat) :: Nat where- Foo7 x = Let0123456789876543210XSym1 x- type family Foo6 (a :: Nat) :: Nat where- Foo6 x = Let0123456789876543210ZSym1 x- type family Foo5 (a :: Nat) :: Nat where- Foo5 x = Apply (Let0123456789876543210FSym1 x) x- type family Foo4 (a :: Nat) :: Nat where- Foo4 x = Apply (Let0123456789876543210FSym1 x) x- type family Foo3 (a :: Nat) :: Nat where- Foo3 x = Let0123456789876543210YSym1 x- type family Foo2 :: Nat where- Foo2 = Let0123456789876543210ZSym0- type family Foo1 (a :: Nat) :: Nat where- Foo1 x = Let0123456789876543210YSym1 x- sFoo14 ::- forall (t :: Nat). Sing t -> Sing (Apply Foo14Sym0 t :: (Nat, Nat))- sFoo13_ ::- forall (t :: a). Sing t -> Sing (Apply Foo13_Sym0 t :: a)- sFoo13 :: forall (t :: a). Sing t -> Sing (Apply Foo13Sym0 t :: a)- sFoo12 ::- forall (t :: Nat). Sing t -> Sing (Apply Foo12Sym0 t :: Nat)- sFoo11 ::- forall (t :: Nat). Sing t -> Sing (Apply Foo11Sym0 t :: Nat)- sFoo10 ::- forall (t :: Nat). Sing t -> Sing (Apply Foo10Sym0 t :: Nat)- sFoo9 ::- forall (t :: Nat). Sing t -> Sing (Apply Foo9Sym0 t :: Nat)- sFoo8 ::- forall (t :: Nat). Sing t -> Sing (Apply Foo8Sym0 t :: Nat)- sFoo7 ::- forall (t :: Nat). Sing t -> Sing (Apply Foo7Sym0 t :: Nat)- sFoo6 ::- forall (t :: Nat). Sing t -> Sing (Apply Foo6Sym0 t :: Nat)- sFoo5 ::- forall (t :: Nat). Sing t -> Sing (Apply Foo5Sym0 t :: Nat)- sFoo4 ::- forall (t :: Nat). Sing t -> Sing (Apply Foo4Sym0 t :: Nat)- sFoo3 ::- forall (t :: Nat). Sing t -> Sing (Apply Foo3Sym0 t :: Nat)- sFoo2 :: Sing (Foo2Sym0 :: Nat)- sFoo1 ::- forall (t :: Nat). Sing t -> Sing (Apply Foo1Sym0 t :: Nat)- sFoo14 (sX :: Sing x)- = let- sY :: Sing (Let0123456789876543210YSym1 x)- sZ :: Sing (Let0123456789876543210ZSym1 x)- sX_0123456789876543210 ::- Sing (Let0123456789876543210X_0123456789876543210Sym1 x)- sY- = case sX_0123456789876543210 of {- STuple2 (sY_0123456789876543210 :: Sing y_0123456789876543210) _- -> sY_0123456789876543210 } ::- Sing (Case_0123456789876543210 x (Let0123456789876543210X_0123456789876543210Sym1 x))- sZ- = case sX_0123456789876543210 of {- STuple2 _ (sY_0123456789876543210 :: Sing y_0123456789876543210)- -> sY_0123456789876543210 } ::- Sing (Case_0123456789876543210 x (Let0123456789876543210X_0123456789876543210Sym1 x))- sX_0123456789876543210- = (applySing- ((applySing ((singFun2 @Tuple2Sym0) STuple2))- ((applySing ((singFun1 @SuccSym0) SSucc)) sX)))- sX- in (applySing ((applySing ((singFun2 @Tuple2Sym0) STuple2)) sZ)) sY- sFoo13_ (sY :: Sing y) = sY- sFoo13 (sX :: Sing x)- = let- sBar :: Sing (Let0123456789876543210BarSym1 x :: a)- sBar = sX- in (applySing ((singFun1 @Foo13_Sym0) sFoo13_)) sBar- sFoo12 (sX :: Sing x)- = let- (%+) ::- forall (t :: Nat) (t :: Nat).- Sing t- -> Sing t- -> Sing (Apply (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x) t) t :: Nat)- (%+) SZero (sM :: Sing m) = sM- (%+) (SSucc (sN :: Sing n)) (sM :: Sing m)- = (applySing ((singFun1 @SuccSym0) SSucc))- ((applySing- ((applySing ((singFun2 @((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x)) (%+)))- sN))- sX)- in- (applySing- ((applySing ((singFun2 @((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x)) (%+)))- sX))- ((applySing ((singFun1 @SuccSym0) SSucc))- ((applySing ((singFun1 @SuccSym0) SSucc)) SZero))- sFoo11 (sX :: Sing x)- = let- sZ :: Sing (Let0123456789876543210ZSym1 x :: Nat)- (%+) ::- forall (t :: Nat) (t :: Nat).- Sing t- -> Sing t- -> Sing (Apply (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x) t) t :: Nat)- sZ = sX- (%+) SZero (sM :: Sing m) = sM- (%+) (SSucc (sN :: Sing n)) (sM :: Sing m)- = (applySing ((singFun1 @SuccSym0) SSucc))- ((applySing- ((applySing ((singFun2 @((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x)) (%+)))- sN))- sM)- in- (applySing- ((applySing ((singFun2 @((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x)) (%+)))- ((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))- sZ- sFoo10 (sX :: Sing x)- = let- (%+) ::- forall (t :: Nat) (t :: Nat).- Sing t- -> Sing t- -> Sing (Apply (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x) t) t :: Nat)- (%+) SZero (sM :: Sing m) = sM- (%+) (SSucc (sN :: Sing n)) (sM :: Sing m)- = (applySing ((singFun1 @SuccSym0) SSucc))- ((applySing- ((applySing ((singFun2 @((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x)) (%+)))- sN))- sM)- in- (applySing- ((applySing ((singFun2 @((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x)) (%+)))- ((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))- sX- sFoo9 (sX :: Sing x)- = let- sZ ::- forall (t :: Nat).- Sing t -> Sing (Apply (Let0123456789876543210ZSym1 x) t :: Nat)- sZ (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((singFun1- @(Apply (Apply Lambda_0123456789876543210Sym0 x) a_0123456789876543210))- (\ sX -> case sX of { _ :: Sing x -> sX })))- sA_0123456789876543210- in (applySing ((singFun1 @(Let0123456789876543210ZSym1 x)) sZ)) sX- sFoo8 (sX :: Sing x)- = let- sZ :: Sing (Let0123456789876543210ZSym1 x :: Nat)- sZ- = (applySing- ((singFun1 @(Apply Lambda_0123456789876543210Sym0 x))- (\ sX -> case sX of { _ :: Sing x -> sX })))- SZero- in sZ- sFoo7 (sX :: Sing x)- = let- sX :: Sing (Let0123456789876543210XSym1 x :: Nat)- sX = SZero- in sX- sFoo6 (sX :: Sing x)- = let- sF ::- forall (t :: Nat).- Sing t -> Sing (Apply (Let0123456789876543210FSym1 x) t :: Nat)- sF (sY :: Sing y) = (applySing ((singFun1 @SuccSym0) SSucc)) sY in- let- sZ :: Sing (Let0123456789876543210ZSym1 x :: Nat)- sZ- = (applySing ((singFun1 @(Let0123456789876543210FSym1 x)) sF)) sX- in sZ- sFoo5 (sX :: Sing x)- = let- sF ::- forall (t :: Nat).- Sing t -> Sing (Apply (Let0123456789876543210FSym1 x) t :: Nat)- sF (sY :: Sing y)- = let- sZ :: Sing (Let0123456789876543210ZSym2 x y :: Nat)- sZ = (applySing ((singFun1 @SuccSym0) SSucc)) sY- in (applySing ((singFun1 @SuccSym0) SSucc)) sZ- in (applySing ((singFun1 @(Let0123456789876543210FSym1 x)) sF)) sX- sFoo4 (sX :: Sing x)- = let- sF ::- forall (t :: Nat).- Sing t -> Sing (Apply (Let0123456789876543210FSym1 x) t :: Nat)- sF (sY :: Sing y) = (applySing ((singFun1 @SuccSym0) SSucc)) sY- in (applySing ((singFun1 @(Let0123456789876543210FSym1 x)) sF)) sX- sFoo3 (sX :: Sing x)- = let- sY :: Sing (Let0123456789876543210YSym1 x :: Nat)- sY = (applySing ((singFun1 @SuccSym0) SSucc)) sX- in sY- sFoo2- = let- sY :: Sing Let0123456789876543210YSym0- sZ :: Sing Let0123456789876543210ZSym0- sY = (applySing ((singFun1 @SuccSym0) SSucc)) SZero- sZ = (applySing ((singFun1 @SuccSym0) SSucc)) sY- in sZ- sFoo1 (sX :: Sing x)- = let- sY :: Sing (Let0123456789876543210YSym1 x :: Nat)- sY = (applySing ((singFun1 @SuccSym0) SSucc)) SZero- in sY
+ tests/compile-and-dump/Singletons/LetStatements.ghc86.template view
@@ -0,0 +1,1002 @@+Singletons/LetStatements.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| foo1 :: Nat -> Nat+ foo1 x+ = let+ y :: Nat+ y = Succ Zero+ in y+ foo2 :: Nat+ foo2+ = let+ y = Succ Zero+ z = Succ y+ in z+ foo3 :: Nat -> Nat+ foo3 x+ = let+ y :: Nat+ y = Succ x+ in y+ foo4 :: Nat -> Nat+ foo4 x+ = let+ f :: Nat -> Nat+ f y = Succ y+ in f x+ foo5 :: Nat -> Nat+ foo5 x+ = let+ f :: Nat -> Nat+ f y+ = let+ z :: Nat+ z = Succ y+ in Succ z+ in f x+ foo6 :: Nat -> Nat+ foo6 x+ = let+ f :: Nat -> Nat+ f y = Succ y in+ let+ z :: Nat+ z = f x+ in z+ foo7 :: Nat -> Nat+ foo7 x+ = let+ x :: Nat+ x = Zero+ in x+ foo8 :: Nat -> Nat+ foo8 x+ = let+ z :: Nat+ z = (\ x -> x) Zero+ in z+ foo9 :: Nat -> Nat+ foo9 x+ = let+ z :: Nat -> Nat+ z = (\ x -> x)+ in z x+ foo10 :: Nat -> Nat+ foo10 x+ = let+ (+) :: Nat -> Nat -> Nat+ Zero + m = m+ (Succ n) + m = Succ (n + m)+ in (Succ Zero) + x+ foo11 :: Nat -> Nat+ foo11 x+ = let+ (+) :: Nat -> Nat -> Nat+ Zero + m = m+ (Succ n) + m = Succ (n + m)+ z :: Nat+ z = x+ in (Succ Zero) + z+ foo12 :: Nat -> Nat+ foo12 x+ = let+ (+) :: Nat -> Nat -> Nat+ Zero + m = m+ (Succ n) + m = Succ (n + x)+ in x + (Succ (Succ Zero))+ foo13 :: forall a. a -> a+ foo13 x+ = let+ bar :: a+ bar = x+ in foo13_ bar+ foo13_ :: a -> a+ foo13_ y = y+ foo14 :: Nat -> (Nat, Nat)+ foo14 x = let (y, z) = (Succ x, x) in (z, y) |]+ ======>+ foo1 :: Nat -> Nat+ foo1 x+ = let+ y :: Nat+ y = Succ Zero+ in y+ foo2 :: Nat+ foo2+ = let+ y = Succ Zero+ z = Succ y+ in z+ foo3 :: Nat -> Nat+ foo3 x+ = let+ y :: Nat+ y = Succ x+ in y+ foo4 :: Nat -> Nat+ foo4 x+ = let+ f :: Nat -> Nat+ f y = Succ y+ in f x+ foo5 :: Nat -> Nat+ foo5 x+ = let+ f :: Nat -> Nat+ f y+ = let+ z :: Nat+ z = Succ y+ in Succ z+ in f x+ foo6 :: Nat -> Nat+ foo6 x+ = let+ f :: Nat -> Nat+ f y = Succ y in+ let+ z :: Nat+ z = f x+ in z+ foo7 :: Nat -> Nat+ foo7 x+ = let+ x :: Nat+ x = Zero+ in x+ foo8 :: Nat -> Nat+ foo8 x+ = let+ z :: Nat+ z = (\ x -> x) Zero+ in z+ foo9 :: Nat -> Nat+ foo9 x+ = let+ z :: Nat -> Nat+ z = \ x -> x+ in z x+ foo10 :: Nat -> Nat+ foo10 x+ = let+ (+) :: Nat -> Nat -> Nat+ (+) Zero m = m+ (+) (Succ n) m = Succ (n + m)+ in (Succ Zero + x)+ foo11 :: Nat -> Nat+ foo11 x+ = let+ (+) :: Nat -> Nat -> Nat+ z :: Nat+ (+) Zero m = m+ (+) (Succ n) m = Succ (n + m)+ z = x+ in (Succ Zero + z)+ foo12 :: Nat -> Nat+ foo12 x+ = let+ (+) :: Nat -> Nat -> Nat+ (+) Zero m = m+ (+) (Succ n) m = Succ (n + x)+ in (x + Succ (Succ Zero))+ foo13 :: forall a. a -> a+ foo13 x+ = let+ bar :: a+ bar = x+ in foo13_ bar+ foo13_ :: a -> a+ foo13_ y = y+ foo14 :: Nat -> (Nat, Nat)+ foo14 x = let (y, z) = (Succ x, x) in (z, y)+ type family Case_0123456789876543210 x t where+ Case_0123456789876543210 x '(y_0123456789876543210,+ _) = y_0123456789876543210+ type family Case_0123456789876543210 x t where+ Case_0123456789876543210 x '(_,+ y_0123456789876543210) = y_0123456789876543210+ type Let0123456789876543210YSym1 x0123456789876543210 =+ Let0123456789876543210Y x0123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210YSym0 where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210YSym0KindInference) ())+ data Let0123456789876543210YSym0 x0123456789876543210+ where+ Let0123456789876543210YSym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Let0123456789876543210YSym0 arg) (Let0123456789876543210YSym1 arg) =>+ Let0123456789876543210YSym0 x0123456789876543210+ type instance Apply Let0123456789876543210YSym0 x0123456789876543210 = Let0123456789876543210Y x0123456789876543210+ type Let0123456789876543210ZSym1 x0123456789876543210 =+ Let0123456789876543210Z x0123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210ZSym0 where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210ZSym0KindInference) ())+ data Let0123456789876543210ZSym0 x0123456789876543210+ where+ Let0123456789876543210ZSym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Let0123456789876543210ZSym0 arg) (Let0123456789876543210ZSym1 arg) =>+ Let0123456789876543210ZSym0 x0123456789876543210+ type instance Apply Let0123456789876543210ZSym0 x0123456789876543210 = Let0123456789876543210Z x0123456789876543210+ type Let0123456789876543210X_0123456789876543210Sym1 x0123456789876543210 =+ Let0123456789876543210X_0123456789876543210 x0123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210X_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd+ (((,) Let0123456789876543210X_0123456789876543210Sym0KindInference)+ ())+ data Let0123456789876543210X_0123456789876543210Sym0 x0123456789876543210+ where+ Let0123456789876543210X_0123456789876543210Sym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Let0123456789876543210X_0123456789876543210Sym0 arg) (Let0123456789876543210X_0123456789876543210Sym1 arg) =>+ Let0123456789876543210X_0123456789876543210Sym0 x0123456789876543210+ type instance Apply Let0123456789876543210X_0123456789876543210Sym0 x0123456789876543210 = Let0123456789876543210X_0123456789876543210 x0123456789876543210+ type family Let0123456789876543210Y x where+ Let0123456789876543210Y x = Case_0123456789876543210 x (Let0123456789876543210X_0123456789876543210Sym1 x)+ type family Let0123456789876543210Z x where+ Let0123456789876543210Z x = Case_0123456789876543210 x (Let0123456789876543210X_0123456789876543210Sym1 x)+ type family Let0123456789876543210X_0123456789876543210 x where+ Let0123456789876543210X_0123456789876543210 x = Apply (Apply Tuple2Sym0 (Apply SuccSym0 x)) x+ type Let0123456789876543210BarSym1 x0123456789876543210 =+ Let0123456789876543210Bar x0123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210BarSym0 where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210BarSym0KindInference) ())+ data Let0123456789876543210BarSym0 x0123456789876543210+ where+ Let0123456789876543210BarSym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Let0123456789876543210BarSym0 arg) (Let0123456789876543210BarSym1 arg) =>+ Let0123456789876543210BarSym0 x0123456789876543210+ type instance Apply Let0123456789876543210BarSym0 x0123456789876543210 = Let0123456789876543210Bar x0123456789876543210+ type family Let0123456789876543210Bar x :: a where+ Let0123456789876543210Bar x = x+ type (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$$) x0123456789876543210 (a0123456789876543210 :: Nat) (a0123456789876543210 :: Nat) =+ (<<<%%%%%%%%%%%%%%%%%%%%) x0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) a0123456789876543210 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$$###)) ())+ data (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) x0123456789876543210 (a0123456789876543210 :: Nat) :: (~>) Nat Nat+ where+ (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$$###) :: forall x0123456789876543210+ a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) x0123456789876543210 a0123456789876543210) arg) ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$$) x0123456789876543210 a0123456789876543210 arg) =>+ (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) x0123456789876543210 a0123456789876543210 a0123456789876543210+ type instance Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) a0123456789876543210 x0123456789876543210) a0123456789876543210 = (<<<%%%%%%%%%%%%%%%%%%%%) a0123456789876543210 x0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$###)) ())+ data (<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x0123456789876543210 :: (~>) Nat ((~>) Nat Nat)+ where+ (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$###) :: forall x0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x0123456789876543210) arg) ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) x0123456789876543210 arg) =>+ (<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x0123456789876543210 a0123456789876543210+ type instance Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x0123456789876543210) a0123456789876543210 = (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) x0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (<<<%%%%%%%%%%%%%%%%%%%%@#@$) where+ suppressUnusedWarnings+ = snd (((,) (:<<<%%%%%%%%%%%%%%%%%%%%@#@$###)) ())+ data (<<<%%%%%%%%%%%%%%%%%%%%@#@$) x0123456789876543210+ where+ (:<<<%%%%%%%%%%%%%%%%%%%%@#@$###) :: forall x0123456789876543210+ arg. SameKind (Apply (<<<%%%%%%%%%%%%%%%%%%%%@#@$) arg) ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) arg) =>+ (<<<%%%%%%%%%%%%%%%%%%%%@#@$) x0123456789876543210+ type instance Apply (<<<%%%%%%%%%%%%%%%%%%%%@#@$) x0123456789876543210 = (<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x0123456789876543210+ type family (<<<%%%%%%%%%%%%%%%%%%%%) x (a :: Nat) (a :: Nat) :: Nat where+ (<<<%%%%%%%%%%%%%%%%%%%%) x 'Zero m = m+ (<<<%%%%%%%%%%%%%%%%%%%%) x ( 'Succ n) m = Apply SuccSym0 (Apply (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x) n) x)+ type Let0123456789876543210ZSym1 x0123456789876543210 =+ Let0123456789876543210Z x0123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210ZSym0 where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210ZSym0KindInference) ())+ data Let0123456789876543210ZSym0 x0123456789876543210+ where+ Let0123456789876543210ZSym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Let0123456789876543210ZSym0 arg) (Let0123456789876543210ZSym1 arg) =>+ Let0123456789876543210ZSym0 x0123456789876543210+ type instance Apply Let0123456789876543210ZSym0 x0123456789876543210 = Let0123456789876543210Z x0123456789876543210+ type (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$$) x0123456789876543210 (a0123456789876543210 :: Nat) (a0123456789876543210 :: Nat) =+ (<<<%%%%%%%%%%%%%%%%%%%%) x0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) a0123456789876543210 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$$###)) ())+ data (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) x0123456789876543210 (a0123456789876543210 :: Nat) :: (~>) Nat Nat+ where+ (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$$###) :: forall x0123456789876543210+ a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) x0123456789876543210 a0123456789876543210) arg) ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$$) x0123456789876543210 a0123456789876543210 arg) =>+ (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) x0123456789876543210 a0123456789876543210 a0123456789876543210+ type instance Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) a0123456789876543210 x0123456789876543210) a0123456789876543210 = (<<<%%%%%%%%%%%%%%%%%%%%) a0123456789876543210 x0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$###)) ())+ data (<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x0123456789876543210 :: (~>) Nat ((~>) Nat Nat)+ where+ (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$###) :: forall x0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x0123456789876543210) arg) ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) x0123456789876543210 arg) =>+ (<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x0123456789876543210 a0123456789876543210+ type instance Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x0123456789876543210) a0123456789876543210 = (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) x0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (<<<%%%%%%%%%%%%%%%%%%%%@#@$) where+ suppressUnusedWarnings+ = snd (((,) (:<<<%%%%%%%%%%%%%%%%%%%%@#@$###)) ())+ data (<<<%%%%%%%%%%%%%%%%%%%%@#@$) x0123456789876543210+ where+ (:<<<%%%%%%%%%%%%%%%%%%%%@#@$###) :: forall x0123456789876543210+ arg. SameKind (Apply (<<<%%%%%%%%%%%%%%%%%%%%@#@$) arg) ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) arg) =>+ (<<<%%%%%%%%%%%%%%%%%%%%@#@$) x0123456789876543210+ type instance Apply (<<<%%%%%%%%%%%%%%%%%%%%@#@$) x0123456789876543210 = (<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x0123456789876543210+ type family Let0123456789876543210Z x :: Nat where+ Let0123456789876543210Z x = x+ type family (<<<%%%%%%%%%%%%%%%%%%%%) x (a :: Nat) (a :: Nat) :: Nat where+ (<<<%%%%%%%%%%%%%%%%%%%%) x 'Zero m = m+ (<<<%%%%%%%%%%%%%%%%%%%%) x ( 'Succ n) m = Apply SuccSym0 (Apply (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x) n) m)+ type (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$$) x0123456789876543210 (a0123456789876543210 :: Nat) (a0123456789876543210 :: Nat) =+ (<<<%%%%%%%%%%%%%%%%%%%%) x0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) a0123456789876543210 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$$###)) ())+ data (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) x0123456789876543210 (a0123456789876543210 :: Nat) :: (~>) Nat Nat+ where+ (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$$###) :: forall x0123456789876543210+ a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) x0123456789876543210 a0123456789876543210) arg) ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$$) x0123456789876543210 a0123456789876543210 arg) =>+ (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) x0123456789876543210 a0123456789876543210 a0123456789876543210+ type instance Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) a0123456789876543210 x0123456789876543210) a0123456789876543210 = (<<<%%%%%%%%%%%%%%%%%%%%) a0123456789876543210 x0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$###)) ())+ data (<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x0123456789876543210 :: (~>) Nat ((~>) Nat Nat)+ where+ (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$###) :: forall x0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x0123456789876543210) arg) ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) x0123456789876543210 arg) =>+ (<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x0123456789876543210 a0123456789876543210+ type instance Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x0123456789876543210) a0123456789876543210 = (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) x0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (<<<%%%%%%%%%%%%%%%%%%%%@#@$) where+ suppressUnusedWarnings+ = snd (((,) (:<<<%%%%%%%%%%%%%%%%%%%%@#@$###)) ())+ data (<<<%%%%%%%%%%%%%%%%%%%%@#@$) x0123456789876543210+ where+ (:<<<%%%%%%%%%%%%%%%%%%%%@#@$###) :: forall x0123456789876543210+ arg. SameKind (Apply (<<<%%%%%%%%%%%%%%%%%%%%@#@$) arg) ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) arg) =>+ (<<<%%%%%%%%%%%%%%%%%%%%@#@$) x0123456789876543210+ type instance Apply (<<<%%%%%%%%%%%%%%%%%%%%@#@$) x0123456789876543210 = (<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x0123456789876543210+ type family (<<<%%%%%%%%%%%%%%%%%%%%) x (a :: Nat) (a :: Nat) :: Nat where+ (<<<%%%%%%%%%%%%%%%%%%%%) x 'Zero m = m+ (<<<%%%%%%%%%%%%%%%%%%%%) x ( 'Succ n) m = Apply SuccSym0 (Apply (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x) n) m)+ type family Lambda_0123456789876543210 x a_0123456789876543210 t where+ Lambda_0123456789876543210 x a_0123456789876543210 x = x+ type Lambda_0123456789876543210Sym3 x0123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 x0123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 x0123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall x0123456789876543210+ a_01234567898765432100123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 x0123456789876543210 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym3 x0123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 x0123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 x0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 a_01234567898765432100123456789876543210 x0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 x0123456789876543210 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall x0123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 x0123456789876543210) arg) (Lambda_0123456789876543210Sym2 x0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 x0123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 x0123456789876543210) a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym2 x0123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 x0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 x0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 x0123456789876543210 = Lambda_0123456789876543210Sym1 x0123456789876543210+ type Let0123456789876543210ZSym2 x0123456789876543210 (a0123456789876543210 :: Nat) =+ Let0123456789876543210Z x0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Let0123456789876543210ZSym1 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210ZSym1KindInference) ())+ data Let0123456789876543210ZSym1 x0123456789876543210 :: (~>) Nat Nat+ where+ Let0123456789876543210ZSym1KindInference :: forall x0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Let0123456789876543210ZSym1 x0123456789876543210) arg) (Let0123456789876543210ZSym2 x0123456789876543210 arg) =>+ Let0123456789876543210ZSym1 x0123456789876543210 a0123456789876543210+ type instance Apply (Let0123456789876543210ZSym1 x0123456789876543210) a0123456789876543210 = Let0123456789876543210Z x0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210ZSym0 where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210ZSym0KindInference) ())+ data Let0123456789876543210ZSym0 x0123456789876543210+ where+ Let0123456789876543210ZSym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Let0123456789876543210ZSym0 arg) (Let0123456789876543210ZSym1 arg) =>+ Let0123456789876543210ZSym0 x0123456789876543210+ type instance Apply Let0123456789876543210ZSym0 x0123456789876543210 = Let0123456789876543210ZSym1 x0123456789876543210+ type family Let0123456789876543210Z x (a :: Nat) :: Nat where+ Let0123456789876543210Z x a_0123456789876543210 = Apply (Apply (Apply Lambda_0123456789876543210Sym0 x) a_0123456789876543210) a_0123456789876543210+ type family Lambda_0123456789876543210 x t where+ Lambda_0123456789876543210 x x = x+ type Lambda_0123456789876543210Sym2 x0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 x0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 x0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall x0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 x0123456789876543210) arg) (Lambda_0123456789876543210Sym2 x0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 x0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 x0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 x0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 x0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 x0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 x0123456789876543210 = Lambda_0123456789876543210Sym1 x0123456789876543210+ type Let0123456789876543210ZSym1 x0123456789876543210 =+ Let0123456789876543210Z x0123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210ZSym0 where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210ZSym0KindInference) ())+ data Let0123456789876543210ZSym0 x0123456789876543210+ where+ Let0123456789876543210ZSym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Let0123456789876543210ZSym0 arg) (Let0123456789876543210ZSym1 arg) =>+ Let0123456789876543210ZSym0 x0123456789876543210+ type instance Apply Let0123456789876543210ZSym0 x0123456789876543210 = Let0123456789876543210Z x0123456789876543210+ type family Let0123456789876543210Z x :: Nat where+ Let0123456789876543210Z x = Apply (Apply Lambda_0123456789876543210Sym0 x) ZeroSym0+ type Let0123456789876543210XSym1 x0123456789876543210 =+ Let0123456789876543210X x0123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210XSym0 where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210XSym0KindInference) ())+ data Let0123456789876543210XSym0 x0123456789876543210+ where+ Let0123456789876543210XSym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Let0123456789876543210XSym0 arg) (Let0123456789876543210XSym1 arg) =>+ Let0123456789876543210XSym0 x0123456789876543210+ type instance Apply Let0123456789876543210XSym0 x0123456789876543210 = Let0123456789876543210X x0123456789876543210+ type family Let0123456789876543210X x :: Nat where+ Let0123456789876543210X x = ZeroSym0+ type Let0123456789876543210FSym2 x0123456789876543210 (a0123456789876543210 :: Nat) =+ Let0123456789876543210F x0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Let0123456789876543210FSym1 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210FSym1KindInference) ())+ data Let0123456789876543210FSym1 x0123456789876543210 :: (~>) Nat Nat+ where+ Let0123456789876543210FSym1KindInference :: forall x0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Let0123456789876543210FSym1 x0123456789876543210) arg) (Let0123456789876543210FSym2 x0123456789876543210 arg) =>+ Let0123456789876543210FSym1 x0123456789876543210 a0123456789876543210+ type instance Apply (Let0123456789876543210FSym1 x0123456789876543210) a0123456789876543210 = Let0123456789876543210F x0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210FSym0 where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210FSym0KindInference) ())+ data Let0123456789876543210FSym0 x0123456789876543210+ where+ Let0123456789876543210FSym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Let0123456789876543210FSym0 arg) (Let0123456789876543210FSym1 arg) =>+ Let0123456789876543210FSym0 x0123456789876543210+ type instance Apply Let0123456789876543210FSym0 x0123456789876543210 = Let0123456789876543210FSym1 x0123456789876543210+ type family Let0123456789876543210F x (a :: Nat) :: Nat where+ Let0123456789876543210F x y = Apply SuccSym0 y+ type Let0123456789876543210ZSym1 x0123456789876543210 =+ Let0123456789876543210Z x0123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210ZSym0 where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210ZSym0KindInference) ())+ data Let0123456789876543210ZSym0 x0123456789876543210+ where+ Let0123456789876543210ZSym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Let0123456789876543210ZSym0 arg) (Let0123456789876543210ZSym1 arg) =>+ Let0123456789876543210ZSym0 x0123456789876543210+ type instance Apply Let0123456789876543210ZSym0 x0123456789876543210 = Let0123456789876543210Z x0123456789876543210+ type family Let0123456789876543210Z x :: Nat where+ Let0123456789876543210Z x = Apply (Let0123456789876543210FSym1 x) x+ type Let0123456789876543210ZSym2 x0123456789876543210 y0123456789876543210 =+ Let0123456789876543210Z x0123456789876543210 y0123456789876543210+ instance SuppressUnusedWarnings (Let0123456789876543210ZSym1 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210ZSym1KindInference) ())+ data Let0123456789876543210ZSym1 x0123456789876543210 y0123456789876543210+ where+ Let0123456789876543210ZSym1KindInference :: forall x0123456789876543210+ y0123456789876543210+ arg. SameKind (Apply (Let0123456789876543210ZSym1 x0123456789876543210) arg) (Let0123456789876543210ZSym2 x0123456789876543210 arg) =>+ Let0123456789876543210ZSym1 x0123456789876543210 y0123456789876543210+ type instance Apply (Let0123456789876543210ZSym1 x0123456789876543210) y0123456789876543210 = Let0123456789876543210Z x0123456789876543210 y0123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210ZSym0 where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210ZSym0KindInference) ())+ data Let0123456789876543210ZSym0 x0123456789876543210+ where+ Let0123456789876543210ZSym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Let0123456789876543210ZSym0 arg) (Let0123456789876543210ZSym1 arg) =>+ Let0123456789876543210ZSym0 x0123456789876543210+ type instance Apply Let0123456789876543210ZSym0 x0123456789876543210 = Let0123456789876543210ZSym1 x0123456789876543210+ type family Let0123456789876543210Z x y :: Nat where+ Let0123456789876543210Z x y = Apply SuccSym0 y+ type Let0123456789876543210FSym2 x0123456789876543210 (a0123456789876543210 :: Nat) =+ Let0123456789876543210F x0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Let0123456789876543210FSym1 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210FSym1KindInference) ())+ data Let0123456789876543210FSym1 x0123456789876543210 :: (~>) Nat Nat+ where+ Let0123456789876543210FSym1KindInference :: forall x0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Let0123456789876543210FSym1 x0123456789876543210) arg) (Let0123456789876543210FSym2 x0123456789876543210 arg) =>+ Let0123456789876543210FSym1 x0123456789876543210 a0123456789876543210+ type instance Apply (Let0123456789876543210FSym1 x0123456789876543210) a0123456789876543210 = Let0123456789876543210F x0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210FSym0 where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210FSym0KindInference) ())+ data Let0123456789876543210FSym0 x0123456789876543210+ where+ Let0123456789876543210FSym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Let0123456789876543210FSym0 arg) (Let0123456789876543210FSym1 arg) =>+ Let0123456789876543210FSym0 x0123456789876543210+ type instance Apply Let0123456789876543210FSym0 x0123456789876543210 = Let0123456789876543210FSym1 x0123456789876543210+ type family Let0123456789876543210F x (a :: Nat) :: Nat where+ Let0123456789876543210F x y = Apply SuccSym0 (Let0123456789876543210ZSym2 x y)+ type Let0123456789876543210FSym2 x0123456789876543210 (a0123456789876543210 :: Nat) =+ Let0123456789876543210F x0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Let0123456789876543210FSym1 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210FSym1KindInference) ())+ data Let0123456789876543210FSym1 x0123456789876543210 :: (~>) Nat Nat+ where+ Let0123456789876543210FSym1KindInference :: forall x0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Let0123456789876543210FSym1 x0123456789876543210) arg) (Let0123456789876543210FSym2 x0123456789876543210 arg) =>+ Let0123456789876543210FSym1 x0123456789876543210 a0123456789876543210+ type instance Apply (Let0123456789876543210FSym1 x0123456789876543210) a0123456789876543210 = Let0123456789876543210F x0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210FSym0 where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210FSym0KindInference) ())+ data Let0123456789876543210FSym0 x0123456789876543210+ where+ Let0123456789876543210FSym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Let0123456789876543210FSym0 arg) (Let0123456789876543210FSym1 arg) =>+ Let0123456789876543210FSym0 x0123456789876543210+ type instance Apply Let0123456789876543210FSym0 x0123456789876543210 = Let0123456789876543210FSym1 x0123456789876543210+ type family Let0123456789876543210F x (a :: Nat) :: Nat where+ Let0123456789876543210F x y = Apply SuccSym0 y+ type Let0123456789876543210YSym1 x0123456789876543210 =+ Let0123456789876543210Y x0123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210YSym0 where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210YSym0KindInference) ())+ data Let0123456789876543210YSym0 x0123456789876543210+ where+ Let0123456789876543210YSym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Let0123456789876543210YSym0 arg) (Let0123456789876543210YSym1 arg) =>+ Let0123456789876543210YSym0 x0123456789876543210+ type instance Apply Let0123456789876543210YSym0 x0123456789876543210 = Let0123456789876543210Y x0123456789876543210+ type family Let0123456789876543210Y x :: Nat where+ Let0123456789876543210Y x = Apply SuccSym0 x+ type Let0123456789876543210YSym0 = Let0123456789876543210Y+ type Let0123456789876543210ZSym0 = Let0123456789876543210Z+ type family Let0123456789876543210Y where+ Let0123456789876543210Y = Apply SuccSym0 ZeroSym0+ type family Let0123456789876543210Z where+ Let0123456789876543210Z = Apply SuccSym0 Let0123456789876543210YSym0+ type Let0123456789876543210YSym1 x0123456789876543210 =+ Let0123456789876543210Y x0123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210YSym0 where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210YSym0KindInference) ())+ data Let0123456789876543210YSym0 x0123456789876543210+ where+ Let0123456789876543210YSym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Let0123456789876543210YSym0 arg) (Let0123456789876543210YSym1 arg) =>+ Let0123456789876543210YSym0 x0123456789876543210+ type instance Apply Let0123456789876543210YSym0 x0123456789876543210 = Let0123456789876543210Y x0123456789876543210+ type family Let0123456789876543210Y x :: Nat where+ Let0123456789876543210Y x = Apply SuccSym0 ZeroSym0+ type Foo14Sym1 (a0123456789876543210 :: Nat) =+ Foo14 a0123456789876543210+ instance SuppressUnusedWarnings Foo14Sym0 where+ suppressUnusedWarnings = snd (((,) Foo14Sym0KindInference) ())+ data Foo14Sym0 :: (~>) Nat (Nat, Nat)+ where+ Foo14Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo14Sym0 arg) (Foo14Sym1 arg) =>+ Foo14Sym0 a0123456789876543210+ type instance Apply Foo14Sym0 a0123456789876543210 = Foo14 a0123456789876543210+ type Foo13_Sym1 (a0123456789876543210 :: a0123456789876543210) =+ Foo13_ a0123456789876543210+ instance SuppressUnusedWarnings Foo13_Sym0 where+ suppressUnusedWarnings = snd (((,) Foo13_Sym0KindInference) ())+ data Foo13_Sym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 a0123456789876543210+ where+ Foo13_Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo13_Sym0 arg) (Foo13_Sym1 arg) =>+ Foo13_Sym0 a0123456789876543210+ type instance Apply Foo13_Sym0 a0123456789876543210 = Foo13_ a0123456789876543210+ type Foo13Sym1 (a0123456789876543210 :: a0123456789876543210) =+ Foo13 a0123456789876543210+ instance SuppressUnusedWarnings Foo13Sym0 where+ suppressUnusedWarnings = snd (((,) Foo13Sym0KindInference) ())+ data Foo13Sym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 a0123456789876543210+ where+ Foo13Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo13Sym0 arg) (Foo13Sym1 arg) =>+ Foo13Sym0 a0123456789876543210+ type instance Apply Foo13Sym0 a0123456789876543210 = Foo13 a0123456789876543210+ type Foo12Sym1 (a0123456789876543210 :: Nat) =+ Foo12 a0123456789876543210+ instance SuppressUnusedWarnings Foo12Sym0 where+ suppressUnusedWarnings = snd (((,) Foo12Sym0KindInference) ())+ data Foo12Sym0 :: (~>) Nat Nat+ where+ Foo12Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo12Sym0 arg) (Foo12Sym1 arg) =>+ Foo12Sym0 a0123456789876543210+ type instance Apply Foo12Sym0 a0123456789876543210 = Foo12 a0123456789876543210+ type Foo11Sym1 (a0123456789876543210 :: Nat) =+ Foo11 a0123456789876543210+ instance SuppressUnusedWarnings Foo11Sym0 where+ suppressUnusedWarnings = snd (((,) Foo11Sym0KindInference) ())+ data Foo11Sym0 :: (~>) Nat Nat+ where+ Foo11Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo11Sym0 arg) (Foo11Sym1 arg) =>+ Foo11Sym0 a0123456789876543210+ type instance Apply Foo11Sym0 a0123456789876543210 = Foo11 a0123456789876543210+ type Foo10Sym1 (a0123456789876543210 :: Nat) =+ Foo10 a0123456789876543210+ instance SuppressUnusedWarnings Foo10Sym0 where+ suppressUnusedWarnings = snd (((,) Foo10Sym0KindInference) ())+ data Foo10Sym0 :: (~>) Nat Nat+ where+ Foo10Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo10Sym0 arg) (Foo10Sym1 arg) =>+ Foo10Sym0 a0123456789876543210+ type instance Apply Foo10Sym0 a0123456789876543210 = Foo10 a0123456789876543210+ type Foo9Sym1 (a0123456789876543210 :: Nat) =+ Foo9 a0123456789876543210+ instance SuppressUnusedWarnings Foo9Sym0 where+ suppressUnusedWarnings = snd (((,) Foo9Sym0KindInference) ())+ data Foo9Sym0 :: (~>) Nat Nat+ where+ Foo9Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo9Sym0 arg) (Foo9Sym1 arg) =>+ Foo9Sym0 a0123456789876543210+ type instance Apply Foo9Sym0 a0123456789876543210 = Foo9 a0123456789876543210+ type Foo8Sym1 (a0123456789876543210 :: Nat) =+ Foo8 a0123456789876543210+ instance SuppressUnusedWarnings Foo8Sym0 where+ suppressUnusedWarnings = snd (((,) Foo8Sym0KindInference) ())+ data Foo8Sym0 :: (~>) Nat Nat+ where+ Foo8Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo8Sym0 arg) (Foo8Sym1 arg) =>+ Foo8Sym0 a0123456789876543210+ type instance Apply Foo8Sym0 a0123456789876543210 = Foo8 a0123456789876543210+ type Foo7Sym1 (a0123456789876543210 :: Nat) =+ Foo7 a0123456789876543210+ instance SuppressUnusedWarnings Foo7Sym0 where+ suppressUnusedWarnings = snd (((,) Foo7Sym0KindInference) ())+ data Foo7Sym0 :: (~>) Nat Nat+ where+ Foo7Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo7Sym0 arg) (Foo7Sym1 arg) =>+ Foo7Sym0 a0123456789876543210+ type instance Apply Foo7Sym0 a0123456789876543210 = Foo7 a0123456789876543210+ type Foo6Sym1 (a0123456789876543210 :: Nat) =+ Foo6 a0123456789876543210+ instance SuppressUnusedWarnings Foo6Sym0 where+ suppressUnusedWarnings = snd (((,) Foo6Sym0KindInference) ())+ data Foo6Sym0 :: (~>) Nat Nat+ where+ Foo6Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo6Sym0 arg) (Foo6Sym1 arg) =>+ Foo6Sym0 a0123456789876543210+ type instance Apply Foo6Sym0 a0123456789876543210 = Foo6 a0123456789876543210+ type Foo5Sym1 (a0123456789876543210 :: Nat) =+ Foo5 a0123456789876543210+ instance SuppressUnusedWarnings Foo5Sym0 where+ suppressUnusedWarnings = snd (((,) Foo5Sym0KindInference) ())+ data Foo5Sym0 :: (~>) Nat Nat+ where+ Foo5Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo5Sym0 arg) (Foo5Sym1 arg) =>+ Foo5Sym0 a0123456789876543210+ type instance Apply Foo5Sym0 a0123456789876543210 = Foo5 a0123456789876543210+ type Foo4Sym1 (a0123456789876543210 :: Nat) =+ Foo4 a0123456789876543210+ instance SuppressUnusedWarnings Foo4Sym0 where+ suppressUnusedWarnings = snd (((,) Foo4Sym0KindInference) ())+ data Foo4Sym0 :: (~>) Nat Nat+ where+ Foo4Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo4Sym0 arg) (Foo4Sym1 arg) =>+ Foo4Sym0 a0123456789876543210+ type instance Apply Foo4Sym0 a0123456789876543210 = Foo4 a0123456789876543210+ type Foo3Sym1 (a0123456789876543210 :: Nat) =+ Foo3 a0123456789876543210+ instance SuppressUnusedWarnings Foo3Sym0 where+ suppressUnusedWarnings = snd (((,) Foo3Sym0KindInference) ())+ data Foo3Sym0 :: (~>) Nat Nat+ where+ Foo3Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo3Sym0 arg) (Foo3Sym1 arg) =>+ Foo3Sym0 a0123456789876543210+ type instance Apply Foo3Sym0 a0123456789876543210 = Foo3 a0123456789876543210+ type Foo2Sym0 = Foo2+ type Foo1Sym1 (a0123456789876543210 :: Nat) =+ Foo1 a0123456789876543210+ instance SuppressUnusedWarnings Foo1Sym0 where+ suppressUnusedWarnings = snd (((,) Foo1Sym0KindInference) ())+ data Foo1Sym0 :: (~>) Nat Nat+ where+ Foo1Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo1Sym0 arg) (Foo1Sym1 arg) =>+ Foo1Sym0 a0123456789876543210+ type instance Apply Foo1Sym0 a0123456789876543210 = Foo1 a0123456789876543210+ type family Foo14 (a :: Nat) :: (Nat, Nat) where+ Foo14 x = Apply (Apply Tuple2Sym0 (Let0123456789876543210ZSym1 x)) (Let0123456789876543210YSym1 x)+ type family Foo13_ (a :: a) :: a where+ Foo13_ y = y+ type family Foo13 (a :: a) :: a where+ Foo13 x = Apply Foo13_Sym0 (Let0123456789876543210BarSym1 x)+ type family Foo12 (a :: Nat) :: Nat where+ Foo12 x = Apply (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x) x) (Apply SuccSym0 (Apply SuccSym0 ZeroSym0))+ type family Foo11 (a :: Nat) :: Nat where+ Foo11 x = Apply (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x) (Apply SuccSym0 ZeroSym0)) (Let0123456789876543210ZSym1 x)+ type family Foo10 (a :: Nat) :: Nat where+ Foo10 x = Apply (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x) (Apply SuccSym0 ZeroSym0)) x+ type family Foo9 (a :: Nat) :: Nat where+ Foo9 x = Apply (Let0123456789876543210ZSym1 x) x+ type family Foo8 (a :: Nat) :: Nat where+ Foo8 x = Let0123456789876543210ZSym1 x+ type family Foo7 (a :: Nat) :: Nat where+ Foo7 x = Let0123456789876543210XSym1 x+ type family Foo6 (a :: Nat) :: Nat where+ Foo6 x = Let0123456789876543210ZSym1 x+ type family Foo5 (a :: Nat) :: Nat where+ Foo5 x = Apply (Let0123456789876543210FSym1 x) x+ type family Foo4 (a :: Nat) :: Nat where+ Foo4 x = Apply (Let0123456789876543210FSym1 x) x+ type family Foo3 (a :: Nat) :: Nat where+ Foo3 x = Let0123456789876543210YSym1 x+ type family Foo2 :: Nat where+ Foo2 = Let0123456789876543210ZSym0+ type family Foo1 (a :: Nat) :: Nat where+ Foo1 x = Let0123456789876543210YSym1 x+ sFoo14 ::+ forall (t :: Nat). Sing t -> Sing (Apply Foo14Sym0 t :: (Nat, Nat))+ sFoo13_ ::+ forall a (t :: a). Sing t -> Sing (Apply Foo13_Sym0 t :: a)+ sFoo13 ::+ forall a (t :: a). Sing t -> Sing (Apply Foo13Sym0 t :: a)+ sFoo12 ::+ forall (t :: Nat). Sing t -> Sing (Apply Foo12Sym0 t :: Nat)+ sFoo11 ::+ forall (t :: Nat). Sing t -> Sing (Apply Foo11Sym0 t :: Nat)+ sFoo10 ::+ forall (t :: Nat). Sing t -> Sing (Apply Foo10Sym0 t :: Nat)+ sFoo9 ::+ forall (t :: Nat). Sing t -> Sing (Apply Foo9Sym0 t :: Nat)+ sFoo8 ::+ forall (t :: Nat). Sing t -> Sing (Apply Foo8Sym0 t :: Nat)+ sFoo7 ::+ forall (t :: Nat). Sing t -> Sing (Apply Foo7Sym0 t :: Nat)+ sFoo6 ::+ forall (t :: Nat). Sing t -> Sing (Apply Foo6Sym0 t :: Nat)+ sFoo5 ::+ forall (t :: Nat). Sing t -> Sing (Apply Foo5Sym0 t :: Nat)+ sFoo4 ::+ forall (t :: Nat). Sing t -> Sing (Apply Foo4Sym0 t :: Nat)+ sFoo3 ::+ forall (t :: Nat). Sing t -> Sing (Apply Foo3Sym0 t :: Nat)+ sFoo2 :: Sing (Foo2Sym0 :: Nat)+ sFoo1 ::+ forall (t :: Nat). Sing t -> Sing (Apply Foo1Sym0 t :: Nat)+ sFoo14 (sX :: Sing x)+ = let+ sY :: Sing (Let0123456789876543210YSym1 x)+ sZ :: Sing (Let0123456789876543210ZSym1 x)+ sX_0123456789876543210 ::+ Sing (Let0123456789876543210X_0123456789876543210Sym1 x)+ sY+ = (case sX_0123456789876543210 of {+ STuple2 (sY_0123456789876543210 :: Sing y_0123456789876543210) _+ -> sY_0123456789876543210 }) ::+ Sing (Case_0123456789876543210 x (Let0123456789876543210X_0123456789876543210Sym1 x))+ sZ+ = (case sX_0123456789876543210 of {+ STuple2 _ (sY_0123456789876543210 :: Sing y_0123456789876543210)+ -> sY_0123456789876543210 }) ::+ Sing (Case_0123456789876543210 x (Let0123456789876543210X_0123456789876543210Sym1 x))+ sX_0123456789876543210+ = (applySing+ ((applySing ((singFun2 @Tuple2Sym0) STuple2))+ ((applySing ((singFun1 @SuccSym0) SSucc)) sX)))+ sX+ in (applySing ((applySing ((singFun2 @Tuple2Sym0) STuple2)) sZ)) sY+ sFoo13_ (sY :: Sing y) = sY+ sFoo13 (sX :: Sing x)+ = let+ sBar :: Sing (Let0123456789876543210BarSym1 x :: a)+ sBar = sX+ in (applySing ((singFun1 @Foo13_Sym0) sFoo13_)) sBar+ sFoo12 (sX :: Sing x)+ = let+ (%+) ::+ forall (t :: Nat) (t :: Nat).+ Sing t+ -> Sing t+ -> Sing (Apply (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x) t) t :: Nat)+ (%+) SZero (sM :: Sing m) = sM+ (%+) (SSucc (sN :: Sing n)) (sM :: Sing m)+ = (applySing ((singFun1 @SuccSym0) SSucc))+ ((applySing+ ((applySing ((singFun2 @((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x)) (%+)))+ sN))+ sX)+ in+ (applySing+ ((applySing ((singFun2 @((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x)) (%+)))+ sX))+ ((applySing ((singFun1 @SuccSym0) SSucc))+ ((applySing ((singFun1 @SuccSym0) SSucc)) SZero))+ sFoo11 (sX :: Sing x)+ = let+ sZ :: Sing (Let0123456789876543210ZSym1 x :: Nat)+ (%+) ::+ forall (t :: Nat) (t :: Nat).+ Sing t+ -> Sing t+ -> Sing (Apply (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x) t) t :: Nat)+ sZ = sX+ (%+) SZero (sM :: Sing m) = sM+ (%+) (SSucc (sN :: Sing n)) (sM :: Sing m)+ = (applySing ((singFun1 @SuccSym0) SSucc))+ ((applySing+ ((applySing ((singFun2 @((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x)) (%+)))+ sN))+ sM)+ in+ (applySing+ ((applySing ((singFun2 @((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x)) (%+)))+ ((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))+ sZ+ sFoo10 (sX :: Sing x)+ = let+ (%+) ::+ forall (t :: Nat) (t :: Nat).+ Sing t+ -> Sing t+ -> Sing (Apply (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x) t) t :: Nat)+ (%+) SZero (sM :: Sing m) = sM+ (%+) (SSucc (sN :: Sing n)) (sM :: Sing m)+ = (applySing ((singFun1 @SuccSym0) SSucc))+ ((applySing+ ((applySing ((singFun2 @((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x)) (%+)))+ sN))+ sM)+ in+ (applySing+ ((applySing ((singFun2 @((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x)) (%+)))+ ((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))+ sX+ sFoo9 (sX :: Sing x)+ = let+ sZ ::+ forall (t :: Nat).+ Sing t -> Sing (Apply (Let0123456789876543210ZSym1 x) t :: Nat)+ sZ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((singFun1+ @(Apply (Apply Lambda_0123456789876543210Sym0 x) a_0123456789876543210))+ (\ sX -> case sX of { (_ :: Sing x) -> sX })))+ sA_0123456789876543210+ in (applySing ((singFun1 @(Let0123456789876543210ZSym1 x)) sZ)) sX+ sFoo8 (sX :: Sing x)+ = let+ sZ :: Sing (Let0123456789876543210ZSym1 x :: Nat)+ sZ+ = (applySing+ ((singFun1 @(Apply Lambda_0123456789876543210Sym0 x))+ (\ sX -> case sX of { (_ :: Sing x) -> sX })))+ SZero+ in sZ+ sFoo7 (sX :: Sing x)+ = let+ sX :: Sing (Let0123456789876543210XSym1 x :: Nat)+ sX = SZero+ in sX+ sFoo6 (sX :: Sing x)+ = let+ sF ::+ forall (t :: Nat).+ Sing t -> Sing (Apply (Let0123456789876543210FSym1 x) t :: Nat)+ sF (sY :: Sing y) = (applySing ((singFun1 @SuccSym0) SSucc)) sY in+ let+ sZ :: Sing (Let0123456789876543210ZSym1 x :: Nat)+ sZ+ = (applySing ((singFun1 @(Let0123456789876543210FSym1 x)) sF)) sX+ in sZ+ sFoo5 (sX :: Sing x)+ = let+ sF ::+ forall (t :: Nat).+ Sing t -> Sing (Apply (Let0123456789876543210FSym1 x) t :: Nat)+ sF (sY :: Sing y)+ = let+ sZ :: Sing (Let0123456789876543210ZSym2 x y :: Nat)+ sZ = (applySing ((singFun1 @SuccSym0) SSucc)) sY+ in (applySing ((singFun1 @SuccSym0) SSucc)) sZ+ in (applySing ((singFun1 @(Let0123456789876543210FSym1 x)) sF)) sX+ sFoo4 (sX :: Sing x)+ = let+ sF ::+ forall (t :: Nat).+ Sing t -> Sing (Apply (Let0123456789876543210FSym1 x) t :: Nat)+ sF (sY :: Sing y) = (applySing ((singFun1 @SuccSym0) SSucc)) sY+ in (applySing ((singFun1 @(Let0123456789876543210FSym1 x)) sF)) sX+ sFoo3 (sX :: Sing x)+ = let+ sY :: Sing (Let0123456789876543210YSym1 x :: Nat)+ sY = (applySing ((singFun1 @SuccSym0) SSucc)) sX+ in sY+ sFoo2+ = let+ sY :: Sing Let0123456789876543210YSym0+ sZ :: Sing Let0123456789876543210ZSym0+ sY = (applySing ((singFun1 @SuccSym0) SSucc)) SZero+ sZ = (applySing ((singFun1 @SuccSym0) SSucc)) sY+ in sZ+ sFoo1 (sX :: Sing x)+ = let+ sY :: Sing (Let0123456789876543210YSym1 x :: Nat)+ sY = (applySing ((singFun1 @SuccSym0) SSucc)) SZero+ in sY+ instance SingI (Foo14Sym0 :: (~>) Nat (Nat, Nat)) where+ sing = (singFun1 @Foo14Sym0) sFoo14+ instance SingI (Foo13_Sym0 :: (~>) a a) where+ sing = (singFun1 @Foo13_Sym0) sFoo13_+ instance SingI (Foo13Sym0 :: (~>) a a) where+ sing = (singFun1 @Foo13Sym0) sFoo13+ instance SingI (Foo12Sym0 :: (~>) Nat Nat) where+ sing = (singFun1 @Foo12Sym0) sFoo12+ instance SingI (Foo11Sym0 :: (~>) Nat Nat) where+ sing = (singFun1 @Foo11Sym0) sFoo11+ instance SingI (Foo10Sym0 :: (~>) Nat Nat) where+ sing = (singFun1 @Foo10Sym0) sFoo10+ instance SingI (Foo9Sym0 :: (~>) Nat Nat) where+ sing = (singFun1 @Foo9Sym0) sFoo9+ instance SingI (Foo8Sym0 :: (~>) Nat Nat) where+ sing = (singFun1 @Foo8Sym0) sFoo8+ instance SingI (Foo7Sym0 :: (~>) Nat Nat) where+ sing = (singFun1 @Foo7Sym0) sFoo7+ instance SingI (Foo6Sym0 :: (~>) Nat Nat) where+ sing = (singFun1 @Foo6Sym0) sFoo6+ instance SingI (Foo5Sym0 :: (~>) Nat Nat) where+ sing = (singFun1 @Foo5Sym0) sFoo5+ instance SingI (Foo4Sym0 :: (~>) Nat Nat) where+ sing = (singFun1 @Foo4Sym0) sFoo4+ instance SingI (Foo3Sym0 :: (~>) Nat Nat) where+ sing = (singFun1 @Foo3Sym0) sFoo3+ instance SingI (Foo1Sym0 :: (~>) Nat Nat) where+ sing = (singFun1 @Foo1Sym0) sFoo1
tests/compile-and-dump/Singletons/LetStatements.hs view
@@ -1,5 +1,5 @@ {-# OPTIONS_GHC -Wno-unused-binds -Wno-unused-matches- -Wno-name-shadowing -Wno-unused-imports #-}+ -Wno-name-shadowing #-} module Singletons.LetStatements where
− tests/compile-and-dump/Singletons/Maybe.ghc84.template
@@ -1,145 +0,0 @@-Singletons/Maybe.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| data Maybe a- = Nothing | Just a- deriving (Eq, Show) |]- ======>- data Maybe a- = Nothing | Just a- deriving (Eq, Show)- type NothingSym0 = Nothing- type JustSym1 (t :: a0123456789876543210) = Just t- instance SuppressUnusedWarnings JustSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) JustSym0KindInference) GHC.Tuple.())- data JustSym0 (l :: TyFun a0123456789876543210 (Maybe a0123456789876543210))- = forall arg. SameKind (Apply JustSym0 arg) (JustSym1 arg) =>- JustSym0KindInference- type instance Apply JustSym0 l = Just l- type family ShowsPrec_0123456789876543210 (a :: GHC.Types.Nat) (a :: Maybe a) (a :: GHC.Types.Symbol) :: GHC.Types.Symbol where- ShowsPrec_0123456789876543210 _ Nothing a_0123456789876543210 = Apply (Apply ShowStringSym0 "Nothing") a_0123456789876543210- ShowsPrec_0123456789876543210 p_0123456789876543210 (Just arg_0123456789876543210) a_0123456789876543210 = Apply (Apply (Apply ShowParenSym0 (Apply (Apply (>@#@$) p_0123456789876543210) (Data.Singletons.Prelude.Num.FromInteger 10))) (Apply (Apply (.@#@$) (Apply ShowStringSym0 "Just ")) (Apply (Apply ShowsPrecSym0 (Data.Singletons.Prelude.Num.FromInteger 11)) arg_0123456789876543210))) a_0123456789876543210- type ShowsPrec_0123456789876543210Sym3 (t :: GHC.Types.Nat) (t :: Maybe a0123456789876543210) (t :: GHC.Types.Symbol) =- ShowsPrec_0123456789876543210 t t t- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym2 (l :: GHC.Types.Nat) (l :: Maybe a0123456789876543210) (l :: TyFun GHC.Types.Symbol GHC.Types.Symbol)- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 l l) arg) (ShowsPrec_0123456789876543210Sym3 l l arg) =>- ShowsPrec_0123456789876543210Sym2KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym2 l l) l = ShowsPrec_0123456789876543210 l l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym1 (l :: GHC.Types.Nat) (l :: TyFun (Maybe a0123456789876543210) (TyFun GHC.Types.Symbol GHC.Types.Symbol- -> GHC.Types.Type))- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 l) arg) (ShowsPrec_0123456789876543210Sym2 l arg) =>- ShowsPrec_0123456789876543210Sym1KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym1 l) l = ShowsPrec_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym0 (l :: TyFun GHC.Types.Nat (TyFun (Maybe a0123456789876543210) (TyFun GHC.Types.Symbol GHC.Types.Symbol- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>- ShowsPrec_0123456789876543210Sym0KindInference- type instance Apply ShowsPrec_0123456789876543210Sym0 l = ShowsPrec_0123456789876543210Sym1 l- instance PShow (Maybe a) where- type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a- type family Equals_0123456789876543210 (a :: Maybe a) (b :: Maybe a) :: Bool where- Equals_0123456789876543210 Nothing Nothing = TrueSym0- Equals_0123456789876543210 (Just a) (Just b) = (==) a b- Equals_0123456789876543210 (_ :: Maybe a) (_ :: Maybe a) = FalseSym0- instance PEq (Maybe a) where- type (==) a b = Equals_0123456789876543210 a b- data instance Sing (z :: Maybe a)- where- SNothing :: Sing Nothing- SJust :: forall (n :: a). (Sing (n :: a)) -> Sing (Just n)- type SMaybe = (Sing :: Maybe a -> GHC.Types.Type)- instance SingKind a => SingKind (Maybe a) where- type Demote (Maybe a) = Maybe (Demote a)- fromSing SNothing = Nothing- fromSing (SJust b) = Just (fromSing b)- toSing Nothing = SomeSing SNothing- toSing (Just (b :: Demote a))- = case toSing b :: SomeSing a of {- SomeSing c -> SomeSing (SJust c) }- instance SShow a => SShow (Maybe a) where- sShowsPrec ::- forall (t1 :: GHC.Types.Nat)- (t2 :: Maybe a)- (t3 :: GHC.Types.Symbol).- Sing t1- -> Sing t2- -> Sing t3- -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun GHC.Types.Nat (TyFun (Maybe a) (TyFun GHC.Types.Symbol GHC.Types.Symbol- -> GHC.Types.Type)- -> GHC.Types.Type)- -> GHC.Types.Type) t1) t2) t3)- sShowsPrec- _- SNothing- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "Nothing")))- sA_0123456789876543210- sShowsPrec- (sP_0123456789876543210 :: Sing p_0123456789876543210)- (SJust (sArg_0123456789876543210 :: Sing arg_0123456789876543210))- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing- ((applySing ((singFun3 @ShowParenSym0) sShowParen))- ((applySing- ((applySing ((singFun2 @(>@#@$)) (%>))) sP_0123456789876543210))- (Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 10)))))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "Just "))))- ((applySing- ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))- (Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 11))))- sArg_0123456789876543210))))- sA_0123456789876543210- instance SEq a => SEq (Maybe a) where- (%==) SNothing SNothing = STrue- (%==) SNothing (SJust _) = SFalse- (%==) (SJust _) SNothing = SFalse- (%==) (SJust a) (SJust b) = ((%==) a) b- instance SDecide a => SDecide (Maybe a) where- (%~) SNothing SNothing = Proved Refl- (%~) SNothing (SJust _) = Disproved (\ x -> case x of)- (%~) (SJust _) SNothing = Disproved (\ x -> case x of)- (%~) (SJust a) (SJust b)- = case ((%~) a) b of- Proved Refl -> Proved Refl- Disproved contra- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- instance Data.Singletons.ShowSing.ShowSing a =>- Data.Singletons.ShowSing.ShowSing (Maybe a) where- Data.Singletons.ShowSing.showsSingPrec _ SNothing- = showString "SNothing"- Data.Singletons.ShowSing.showsSingPrec- p_0123456789876543210- (SJust arg_0123456789876543210)- = (showParen (((>) p_0123456789876543210) 10))- (((.) (showString "SJust "))- ((Data.Singletons.ShowSing.showsSingPrec 11)- arg_0123456789876543210))- instance Data.Singletons.ShowSing.ShowSing a =>- Show (Sing (z :: Maybe a)) where- showsPrec = Data.Singletons.ShowSing.showsSingPrec- instance SingI Nothing where- sing = SNothing- instance SingI n => SingI (Just (n :: a)) where- sing = SJust sing
+ tests/compile-and-dump/Singletons/Maybe.ghc86.template view
@@ -0,0 +1,140 @@+Singletons/Maybe.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| data Maybe a+ = Nothing | Just a+ deriving (Eq, Show) |]+ ======>+ data Maybe a+ = Nothing | Just a+ deriving (Eq, Show)+ type NothingSym0 = Nothing+ type JustSym1 (t0123456789876543210 :: a0123456789876543210) =+ Just t0123456789876543210+ instance SuppressUnusedWarnings JustSym0 where+ suppressUnusedWarnings = snd (((,) JustSym0KindInference) ())+ data JustSym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 (Maybe a0123456789876543210)+ where+ JustSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply JustSym0 arg) (JustSym1 arg) =>+ JustSym0 t0123456789876543210+ type instance Apply JustSym0 t0123456789876543210 = Just t0123456789876543210+ type family ShowsPrec_0123456789876543210 (a :: GHC.Types.Nat) (a :: Maybe a) (a :: GHC.Types.Symbol) :: GHC.Types.Symbol where+ ShowsPrec_0123456789876543210 _ Nothing a_0123456789876543210 = Apply (Apply ShowStringSym0 "Nothing") a_0123456789876543210+ ShowsPrec_0123456789876543210 p_0123456789876543210 (Just arg_0123456789876543210) a_0123456789876543210 = Apply (Apply (Apply ShowParenSym0 (Apply (Apply (>@#@$) p_0123456789876543210) (Data.Singletons.Prelude.Num.FromInteger 10))) (Apply (Apply (.@#@$) (Apply ShowStringSym0 "Just ")) (Apply (Apply ShowsPrecSym0 (Data.Singletons.Prelude.Num.FromInteger 11)) arg_0123456789876543210))) a_0123456789876543210+ type ShowsPrec_0123456789876543210Sym3 (a0123456789876543210 :: GHC.Types.Nat) (a0123456789876543210 :: Maybe a0123456789876543210) (a0123456789876543210 :: GHC.Types.Symbol) =+ ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym2KindInference) ())+ data ShowsPrec_0123456789876543210Sym2 (a0123456789876543210 :: GHC.Types.Nat) (a0123456789876543210 :: Maybe a0123456789876543210) :: (~>) GHC.Types.Symbol GHC.Types.Symbol+ where+ ShowsPrec_0123456789876543210Sym2KindInference :: forall a0123456789876543210+ a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym3 a0123456789876543210 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym1KindInference) ())+ data ShowsPrec_0123456789876543210Sym1 (a0123456789876543210 :: GHC.Types.Nat) :: forall a0123456789876543210.+ (~>) (Maybe a0123456789876543210) ((~>) GHC.Types.Symbol GHC.Types.Symbol)+ where+ ShowsPrec_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym0KindInference) ())+ data ShowsPrec_0123456789876543210Sym0 :: forall a0123456789876543210.+ (~>) GHC.Types.Nat ((~>) (Maybe a0123456789876543210) ((~>) GHC.Types.Symbol GHC.Types.Symbol))+ where+ ShowsPrec_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>+ ShowsPrec_0123456789876543210Sym0 a0123456789876543210+ type instance Apply ShowsPrec_0123456789876543210Sym0 a0123456789876543210 = ShowsPrec_0123456789876543210Sym1 a0123456789876543210+ instance PShow (Maybe a) where+ type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a+ type family Equals_0123456789876543210 (a :: Maybe a) (b :: Maybe a) :: Bool where+ Equals_0123456789876543210 Nothing Nothing = TrueSym0+ Equals_0123456789876543210 (Just a) (Just b) = (==) a b+ Equals_0123456789876543210 (_ :: Maybe a) (_ :: Maybe a) = FalseSym0+ instance PEq (Maybe a) where+ type (==) a b = Equals_0123456789876543210 a b+ data instance Sing :: Maybe a -> GHC.Types.Type+ where+ SNothing :: Sing Nothing+ SJust :: forall a (n :: a). (Sing (n :: a)) -> Sing (Just n)+ type SMaybe = (Sing :: Maybe a -> GHC.Types.Type)+ instance SingKind a => SingKind (Maybe a) where+ type Demote (Maybe a) = Maybe (Demote a)+ fromSing SNothing = Nothing+ fromSing (SJust b) = Just (fromSing b)+ toSing Nothing = SomeSing SNothing+ toSing (Just (b :: Demote a))+ = case toSing b :: SomeSing a of {+ SomeSing c -> SomeSing (SJust c) }+ instance SShow a => SShow (Maybe a) where+ sShowsPrec ::+ forall (t1 :: GHC.Types.Nat)+ (t2 :: Maybe a)+ (t3 :: GHC.Types.Symbol).+ Sing t1+ -> Sing t2+ -> Sing t3+ -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun GHC.Types.Nat ((~>) (Maybe a) ((~>) GHC.Types.Symbol GHC.Types.Symbol))+ -> GHC.Types.Type) t1) t2) t3)+ sShowsPrec+ _+ SNothing+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "Nothing")))+ sA_0123456789876543210+ sShowsPrec+ (sP_0123456789876543210 :: Sing p_0123456789876543210)+ (SJust (sArg_0123456789876543210 :: Sing arg_0123456789876543210))+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing+ ((applySing ((singFun3 @ShowParenSym0) sShowParen))+ ((applySing+ ((applySing ((singFun2 @(>@#@$)) (%>))) sP_0123456789876543210))+ (Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 10)))))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "Just "))))+ ((applySing+ ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))+ (Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 11))))+ sArg_0123456789876543210))))+ sA_0123456789876543210+ instance SEq a => SEq (Maybe a) where+ (%==) SNothing SNothing = STrue+ (%==) SNothing (SJust _) = SFalse+ (%==) (SJust _) SNothing = SFalse+ (%==) (SJust a) (SJust b) = ((%==) a) b+ instance SDecide a => SDecide (Maybe a) where+ (%~) SNothing SNothing = Proved Refl+ (%~) SNothing (SJust _) = Disproved (\ x -> case x of)+ (%~) (SJust _) SNothing = Disproved (\ x -> case x of)+ (%~) (SJust a) (SJust b)+ = case ((%~) a) b of+ Proved Refl -> Proved Refl+ Disproved contra+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ deriving instance Data.Singletons.ShowSing.ShowSing a =>+ Show (Sing (z :: Maybe a))+ instance SingI Nothing where+ sing = SNothing+ instance SingI n => SingI (Just (n :: a)) where+ sing = SJust sing+ instance SingI (JustSym0 :: (~>) a (Maybe a)) where+ sing = (singFun1 @JustSym0) SJust+ instance SingI (TyCon1 Just :: (~>) a (Maybe a)) where+ sing = (singFun1 @(TyCon1 Just)) SJust
− tests/compile-and-dump/Singletons/Nat.ghc84.template
@@ -1,260 +0,0 @@-Singletons/Nat.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| plus :: Nat -> Nat -> Nat- plus Zero m = m- plus (Succ n) m = Succ (plus n m)- pred :: Nat -> Nat- pred Zero = Zero- pred (Succ n) = n- - data Nat- where- Zero :: Nat- Succ :: Nat -> Nat- deriving (Eq, Show, Read, Ord) |]- ======>- data Nat- where- Zero :: Nat- Succ :: Nat -> Nat- deriving (Eq, Show, Read, Ord)- plus :: Nat -> Nat -> Nat- plus Zero m = m- plus (Succ n) m = Succ ((plus n) m)- pred :: Nat -> Nat- pred Zero = Zero- pred (Succ n) = n- type ZeroSym0 = Zero- type SuccSym1 (t :: Nat) = Succ t- instance SuppressUnusedWarnings SuccSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) SuccSym0KindInference) GHC.Tuple.())- data SuccSym0 (l :: TyFun Nat Nat)- = forall arg. SameKind (Apply SuccSym0 arg) (SuccSym1 arg) =>- SuccSym0KindInference- type instance Apply SuccSym0 l = Succ l- type PredSym1 (t :: Nat) = Pred t- instance SuppressUnusedWarnings PredSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) PredSym0KindInference) GHC.Tuple.())- data PredSym0 (l :: TyFun Nat Nat)- = forall arg. SameKind (Apply PredSym0 arg) (PredSym1 arg) =>- PredSym0KindInference- type instance Apply PredSym0 l = Pred l- type PlusSym2 (t :: Nat) (t :: Nat) = Plus t t- instance SuppressUnusedWarnings PlusSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) PlusSym1KindInference) GHC.Tuple.())- data PlusSym1 (l :: Nat) (l :: TyFun Nat Nat)- = forall arg. SameKind (Apply (PlusSym1 l) arg) (PlusSym2 l arg) =>- PlusSym1KindInference- type instance Apply (PlusSym1 l) l = Plus l l- instance SuppressUnusedWarnings PlusSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) PlusSym0KindInference) GHC.Tuple.())- data PlusSym0 (l :: TyFun Nat (TyFun Nat Nat -> GHC.Types.Type))- = forall arg. SameKind (Apply PlusSym0 arg) (PlusSym1 arg) =>- PlusSym0KindInference- type instance Apply PlusSym0 l = PlusSym1 l- type family Pred (a :: Nat) :: Nat where- Pred Zero = ZeroSym0- Pred (Succ n) = n- type family Plus (a :: Nat) (a :: Nat) :: Nat where- Plus Zero m = m- Plus (Succ n) m = Apply SuccSym0 (Apply (Apply PlusSym0 n) m)- type family ShowsPrec_0123456789876543210 (a :: GHC.Types.Nat) (a :: Nat) (a :: GHC.Types.Symbol) :: GHC.Types.Symbol where- ShowsPrec_0123456789876543210 _ Zero a_0123456789876543210 = Apply (Apply ShowStringSym0 "Zero") a_0123456789876543210- ShowsPrec_0123456789876543210 p_0123456789876543210 (Succ arg_0123456789876543210) a_0123456789876543210 = Apply (Apply (Apply ShowParenSym0 (Apply (Apply (>@#@$) p_0123456789876543210) (Data.Singletons.Prelude.Num.FromInteger 10))) (Apply (Apply (.@#@$) (Apply ShowStringSym0 "Succ ")) (Apply (Apply ShowsPrecSym0 (Data.Singletons.Prelude.Num.FromInteger 11)) arg_0123456789876543210))) a_0123456789876543210- type ShowsPrec_0123456789876543210Sym3 (t :: GHC.Types.Nat) (t :: Nat) (t :: GHC.Types.Symbol) =- ShowsPrec_0123456789876543210 t t t- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym2 (l :: GHC.Types.Nat) (l :: Nat) (l :: TyFun GHC.Types.Symbol GHC.Types.Symbol)- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 l l) arg) (ShowsPrec_0123456789876543210Sym3 l l arg) =>- ShowsPrec_0123456789876543210Sym2KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym2 l l) l = ShowsPrec_0123456789876543210 l l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym1 (l :: GHC.Types.Nat) (l :: TyFun Nat (TyFun GHC.Types.Symbol GHC.Types.Symbol- -> GHC.Types.Type))- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 l) arg) (ShowsPrec_0123456789876543210Sym2 l arg) =>- ShowsPrec_0123456789876543210Sym1KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym1 l) l = ShowsPrec_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym0 (l :: TyFun GHC.Types.Nat (TyFun Nat (TyFun GHC.Types.Symbol GHC.Types.Symbol- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>- ShowsPrec_0123456789876543210Sym0KindInference- type instance Apply ShowsPrec_0123456789876543210Sym0 l = ShowsPrec_0123456789876543210Sym1 l- instance PShow Nat where- type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a- type family Compare_0123456789876543210 (a :: Nat) (a :: Nat) :: Ordering where- Compare_0123456789876543210 Zero Zero = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) '[]- Compare_0123456789876543210 (Succ a_0123456789876543210) (Succ b_0123456789876543210) = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) '[])- Compare_0123456789876543210 Zero (Succ _) = LTSym0- Compare_0123456789876543210 (Succ _) Zero = GTSym0- type Compare_0123456789876543210Sym2 (t :: Nat) (t :: Nat) =- Compare_0123456789876543210 t t- instance SuppressUnusedWarnings Compare_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Compare_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Compare_0123456789876543210Sym1 (l :: Nat) (l :: TyFun Nat Ordering)- = forall arg. SameKind (Apply (Compare_0123456789876543210Sym1 l) arg) (Compare_0123456789876543210Sym2 l arg) =>- Compare_0123456789876543210Sym1KindInference- type instance Apply (Compare_0123456789876543210Sym1 l) l = Compare_0123456789876543210 l l- instance SuppressUnusedWarnings Compare_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Compare_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Compare_0123456789876543210Sym0 (l :: TyFun Nat (TyFun Nat Ordering- -> GHC.Types.Type))- = forall arg. SameKind (Apply Compare_0123456789876543210Sym0 arg) (Compare_0123456789876543210Sym1 arg) =>- Compare_0123456789876543210Sym0KindInference- type instance Apply Compare_0123456789876543210Sym0 l = Compare_0123456789876543210Sym1 l- instance POrd Nat where- type Compare a a = Apply (Apply Compare_0123456789876543210Sym0 a) a- type family Equals_0123456789876543210 (a :: Nat) (b :: Nat) :: Bool where- Equals_0123456789876543210 Zero Zero = TrueSym0- Equals_0123456789876543210 (Succ a) (Succ b) = (==) a b- Equals_0123456789876543210 (_ :: Nat) (_ :: Nat) = FalseSym0- instance PEq Nat where- type (==) a b = Equals_0123456789876543210 a b- sPred ::- forall (t :: Nat). Sing t -> Sing (Apply PredSym0 t :: Nat)- sPlus ::- forall (t :: Nat) (t :: Nat).- Sing t -> Sing t -> Sing (Apply (Apply PlusSym0 t) t :: Nat)- sPred SZero = SZero- sPred (SSucc (sN :: Sing n)) = sN- sPlus SZero (sM :: Sing m) = sM- sPlus (SSucc (sN :: Sing n)) (sM :: Sing m)- = (applySing ((singFun1 @SuccSym0) SSucc))- ((applySing ((applySing ((singFun2 @PlusSym0) sPlus)) sN)) sM)- data instance Sing (z :: Nat)- where- SZero :: Sing Zero- SSucc :: forall (n :: Nat). (Sing (n :: Nat)) -> Sing (Succ n)- type SNat = (Sing :: Nat -> GHC.Types.Type)- instance SingKind Nat where- type Demote Nat = Nat- fromSing SZero = Zero- fromSing (SSucc b) = Succ (fromSing b)- toSing Zero = SomeSing SZero- toSing (Succ (b :: Demote Nat))- = case toSing b :: SomeSing Nat of {- SomeSing c -> SomeSing (SSucc c) }- instance SShow Nat => SShow Nat where- sShowsPrec ::- forall (t1 :: GHC.Types.Nat) (t2 :: Nat) (t3 :: GHC.Types.Symbol).- Sing t1- -> Sing t2- -> Sing t3- -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun GHC.Types.Nat (TyFun Nat (TyFun GHC.Types.Symbol GHC.Types.Symbol- -> GHC.Types.Type)- -> GHC.Types.Type)- -> GHC.Types.Type) t1) t2) t3)- sShowsPrec- _- SZero- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "Zero")))- sA_0123456789876543210- sShowsPrec- (sP_0123456789876543210 :: Sing p_0123456789876543210)- (SSucc (sArg_0123456789876543210 :: Sing arg_0123456789876543210))- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing- ((applySing ((singFun3 @ShowParenSym0) sShowParen))- ((applySing- ((applySing ((singFun2 @(>@#@$)) (%>))) sP_0123456789876543210))- (Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 10)))))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "Succ "))))- ((applySing- ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))- (Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 11))))- sArg_0123456789876543210))))- sA_0123456789876543210- instance SOrd Nat => SOrd Nat where- sCompare ::- forall (t1 :: Nat) (t2 :: Nat).- Sing t1- -> Sing t2- -> Sing (Apply (Apply (CompareSym0 :: TyFun Nat (TyFun Nat Ordering- -> GHC.Types.Type)- -> GHC.Types.Type) t1) t2)- sCompare SZero SZero- = (applySing- ((applySing- ((applySing ((singFun3 @FoldlSym0) sFoldl))- ((singFun2 @ThenCmpSym0) sThenCmp)))- SEQ))- Data.Singletons.Prelude.Instances.SNil- sCompare- (SSucc (sA_0123456789876543210 :: Sing a_0123456789876543210))- (SSucc (sB_0123456789876543210 :: Sing b_0123456789876543210))- = (applySing- ((applySing- ((applySing ((singFun3 @FoldlSym0) sFoldl))- ((singFun2 @ThenCmpSym0) sThenCmp)))- SEQ))- ((applySing- ((applySing- ((singFun2 @(:@#@$)) Data.Singletons.Prelude.Instances.SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- Data.Singletons.Prelude.Instances.SNil)- sCompare SZero (SSucc _) = SLT- sCompare (SSucc _) SZero = SGT- instance SEq Nat => SEq Nat where- (%==) SZero SZero = STrue- (%==) SZero (SSucc _) = SFalse- (%==) (SSucc _) SZero = SFalse- (%==) (SSucc a) (SSucc b) = ((%==) a) b- instance SDecide Nat => SDecide Nat where- (%~) SZero SZero = Proved Refl- (%~) SZero (SSucc _) = Disproved (\ x -> case x of)- (%~) (SSucc _) SZero = Disproved (\ x -> case x of)- (%~) (SSucc a) (SSucc b)- = case ((%~) a) b of- Proved Refl -> Proved Refl- Disproved contra- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- instance Data.Singletons.ShowSing.ShowSing Nat =>- Data.Singletons.ShowSing.ShowSing Nat where- Data.Singletons.ShowSing.showsSingPrec _ SZero = showString "SZero"- Data.Singletons.ShowSing.showsSingPrec- p_0123456789876543210- (SSucc arg_0123456789876543210)- = (showParen (((>) p_0123456789876543210) 10))- (((.) (showString "SSucc "))- ((Data.Singletons.ShowSing.showsSingPrec 11)- arg_0123456789876543210))- instance Data.Singletons.ShowSing.ShowSing Nat =>- Show (Sing (z :: Nat)) where- showsPrec = Data.Singletons.ShowSing.showsSingPrec- instance SingI Zero where- sing = SZero- instance SingI n => SingI (Succ (n :: Nat)) where- sing = SSucc sing
+ tests/compile-and-dump/Singletons/Nat.ghc86.template view
@@ -0,0 +1,266 @@+Singletons/Nat.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| plus :: Nat -> Nat -> Nat+ plus Zero m = m+ plus (Succ n) m = Succ (plus n m)+ pred :: Nat -> Nat+ pred Zero = Zero+ pred (Succ n) = n+ + data Nat+ where+ Zero :: Nat+ Succ :: Nat -> Nat+ deriving (Eq, Show, Read, Ord) |]+ ======>+ data Nat+ where+ Zero :: Nat+ Succ :: Nat -> Nat+ deriving (Eq, Show, Read, Ord)+ plus :: Nat -> Nat -> Nat+ plus Zero m = m+ plus (Succ n) m = Succ ((plus n) m)+ pred :: Nat -> Nat+ pred Zero = Zero+ pred (Succ n) = n+ type ZeroSym0 = Zero+ type SuccSym1 (t0123456789876543210 :: Nat) =+ Succ t0123456789876543210+ instance SuppressUnusedWarnings SuccSym0 where+ suppressUnusedWarnings = snd (((,) SuccSym0KindInference) ())+ data SuccSym0 :: (~>) Nat Nat+ where+ SuccSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply SuccSym0 arg) (SuccSym1 arg) =>+ SuccSym0 t0123456789876543210+ type instance Apply SuccSym0 t0123456789876543210 = Succ t0123456789876543210+ type PredSym1 (a0123456789876543210 :: Nat) =+ Pred a0123456789876543210+ instance SuppressUnusedWarnings PredSym0 where+ suppressUnusedWarnings = snd (((,) PredSym0KindInference) ())+ data PredSym0 :: (~>) Nat Nat+ where+ PredSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply PredSym0 arg) (PredSym1 arg) =>+ PredSym0 a0123456789876543210+ type instance Apply PredSym0 a0123456789876543210 = Pred a0123456789876543210+ type PlusSym2 (a0123456789876543210 :: Nat) (a0123456789876543210 :: Nat) =+ Plus a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (PlusSym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) PlusSym1KindInference) ())+ data PlusSym1 (a0123456789876543210 :: Nat) :: (~>) Nat Nat+ where+ PlusSym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (PlusSym1 a0123456789876543210) arg) (PlusSym2 a0123456789876543210 arg) =>+ PlusSym1 a0123456789876543210 a0123456789876543210+ type instance Apply (PlusSym1 a0123456789876543210) a0123456789876543210 = Plus a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings PlusSym0 where+ suppressUnusedWarnings = snd (((,) PlusSym0KindInference) ())+ data PlusSym0 :: (~>) Nat ((~>) Nat Nat)+ where+ PlusSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply PlusSym0 arg) (PlusSym1 arg) =>+ PlusSym0 a0123456789876543210+ type instance Apply PlusSym0 a0123456789876543210 = PlusSym1 a0123456789876543210+ type family Pred (a :: Nat) :: Nat where+ Pred Zero = ZeroSym0+ Pred (Succ n) = n+ type family Plus (a :: Nat) (a :: Nat) :: Nat where+ Plus Zero m = m+ Plus (Succ n) m = Apply SuccSym0 (Apply (Apply PlusSym0 n) m)+ type family ShowsPrec_0123456789876543210 (a :: GHC.Types.Nat) (a :: Nat) (a :: GHC.Types.Symbol) :: GHC.Types.Symbol where+ ShowsPrec_0123456789876543210 _ Zero a_0123456789876543210 = Apply (Apply ShowStringSym0 "Zero") a_0123456789876543210+ ShowsPrec_0123456789876543210 p_0123456789876543210 (Succ arg_0123456789876543210) a_0123456789876543210 = Apply (Apply (Apply ShowParenSym0 (Apply (Apply (>@#@$) p_0123456789876543210) (Data.Singletons.Prelude.Num.FromInteger 10))) (Apply (Apply (.@#@$) (Apply ShowStringSym0 "Succ ")) (Apply (Apply ShowsPrecSym0 (Data.Singletons.Prelude.Num.FromInteger 11)) arg_0123456789876543210))) a_0123456789876543210+ type ShowsPrec_0123456789876543210Sym3 (a0123456789876543210 :: GHC.Types.Nat) (a0123456789876543210 :: Nat) (a0123456789876543210 :: GHC.Types.Symbol) =+ ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym2KindInference) ())+ data ShowsPrec_0123456789876543210Sym2 (a0123456789876543210 :: GHC.Types.Nat) (a0123456789876543210 :: Nat) :: (~>) GHC.Types.Symbol GHC.Types.Symbol+ where+ ShowsPrec_0123456789876543210Sym2KindInference :: forall a0123456789876543210+ a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym3 a0123456789876543210 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym1KindInference) ())+ data ShowsPrec_0123456789876543210Sym1 (a0123456789876543210 :: GHC.Types.Nat) :: (~>) Nat ((~>) GHC.Types.Symbol GHC.Types.Symbol)+ where+ ShowsPrec_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym0KindInference) ())+ data ShowsPrec_0123456789876543210Sym0 :: (~>) GHC.Types.Nat ((~>) Nat ((~>) GHC.Types.Symbol GHC.Types.Symbol))+ where+ ShowsPrec_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>+ ShowsPrec_0123456789876543210Sym0 a0123456789876543210+ type instance Apply ShowsPrec_0123456789876543210Sym0 a0123456789876543210 = ShowsPrec_0123456789876543210Sym1 a0123456789876543210+ instance PShow Nat where+ type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a+ type family Compare_0123456789876543210 (a :: Nat) (a :: Nat) :: Ordering where+ Compare_0123456789876543210 Zero Zero = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) '[]+ Compare_0123456789876543210 (Succ a_0123456789876543210) (Succ b_0123456789876543210) = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) '[])+ Compare_0123456789876543210 Zero (Succ _) = LTSym0+ Compare_0123456789876543210 (Succ _) Zero = GTSym0+ type Compare_0123456789876543210Sym2 (a0123456789876543210 :: Nat) (a0123456789876543210 :: Nat) =+ Compare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Compare_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Compare_0123456789876543210Sym1KindInference) ())+ data Compare_0123456789876543210Sym1 (a0123456789876543210 :: Nat) :: (~>) Nat Ordering+ where+ Compare_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Compare_0123456789876543210Sym1 a0123456789876543210) arg) (Compare_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Compare_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Compare_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = Compare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Compare_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Compare_0123456789876543210Sym0KindInference) ())+ data Compare_0123456789876543210Sym0 :: (~>) Nat ((~>) Nat Ordering)+ where+ Compare_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Compare_0123456789876543210Sym0 arg) (Compare_0123456789876543210Sym1 arg) =>+ Compare_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Compare_0123456789876543210Sym0 a0123456789876543210 = Compare_0123456789876543210Sym1 a0123456789876543210+ instance POrd Nat where+ type Compare a a = Apply (Apply Compare_0123456789876543210Sym0 a) a+ type family Equals_0123456789876543210 (a :: Nat) (b :: Nat) :: Bool where+ Equals_0123456789876543210 Zero Zero = TrueSym0+ Equals_0123456789876543210 (Succ a) (Succ b) = (==) a b+ Equals_0123456789876543210 (_ :: Nat) (_ :: Nat) = FalseSym0+ instance PEq Nat where+ type (==) a b = Equals_0123456789876543210 a b+ sPred ::+ forall (t :: Nat). Sing t -> Sing (Apply PredSym0 t :: Nat)+ sPlus ::+ forall (t :: Nat) (t :: Nat).+ Sing t -> Sing t -> Sing (Apply (Apply PlusSym0 t) t :: Nat)+ sPred SZero = SZero+ sPred (SSucc (sN :: Sing n)) = sN+ sPlus SZero (sM :: Sing m) = sM+ sPlus (SSucc (sN :: Sing n)) (sM :: Sing m)+ = (applySing ((singFun1 @SuccSym0) SSucc))+ ((applySing ((applySing ((singFun2 @PlusSym0) sPlus)) sN)) sM)+ instance SingI (PredSym0 :: (~>) Nat Nat) where+ sing = (singFun1 @PredSym0) sPred+ instance SingI (PlusSym0 :: (~>) Nat ((~>) Nat Nat)) where+ sing = (singFun2 @PlusSym0) sPlus+ instance SingI d =>+ SingI (PlusSym1 (d :: Nat) :: (~>) Nat Nat) where+ sing = (singFun1 @(PlusSym1 (d :: Nat))) (sPlus (sing @d))+ data instance Sing :: Nat -> GHC.Types.Type+ where+ SZero :: Sing Zero+ SSucc :: forall (n :: Nat). (Sing (n :: Nat)) -> Sing (Succ n)+ type SNat = (Sing :: Nat -> GHC.Types.Type)+ instance SingKind Nat where+ type Demote Nat = Nat+ fromSing SZero = Zero+ fromSing (SSucc b) = Succ (fromSing b)+ toSing Zero = SomeSing SZero+ toSing (Succ (b :: Demote Nat))+ = case toSing b :: SomeSing Nat of {+ SomeSing c -> SomeSing (SSucc c) }+ instance SShow Nat => SShow Nat where+ sShowsPrec ::+ forall (t1 :: GHC.Types.Nat) (t2 :: Nat) (t3 :: GHC.Types.Symbol).+ Sing t1+ -> Sing t2+ -> Sing t3+ -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun GHC.Types.Nat ((~>) Nat ((~>) GHC.Types.Symbol GHC.Types.Symbol))+ -> GHC.Types.Type) t1) t2) t3)+ sShowsPrec+ _+ SZero+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "Zero")))+ sA_0123456789876543210+ sShowsPrec+ (sP_0123456789876543210 :: Sing p_0123456789876543210)+ (SSucc (sArg_0123456789876543210 :: Sing arg_0123456789876543210))+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing+ ((applySing ((singFun3 @ShowParenSym0) sShowParen))+ ((applySing+ ((applySing ((singFun2 @(>@#@$)) (%>))) sP_0123456789876543210))+ (Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 10)))))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "Succ "))))+ ((applySing+ ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))+ (Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 11))))+ sArg_0123456789876543210))))+ sA_0123456789876543210+ instance SOrd Nat => SOrd Nat where+ sCompare ::+ forall (t1 :: Nat) (t2 :: Nat).+ Sing t1+ -> Sing t2+ -> Sing (Apply (Apply (CompareSym0 :: TyFun Nat ((~>) Nat Ordering)+ -> GHC.Types.Type) t1) t2)+ sCompare SZero SZero+ = (applySing+ ((applySing+ ((applySing ((singFun3 @FoldlSym0) sFoldl))+ ((singFun2 @ThenCmpSym0) sThenCmp)))+ SEQ))+ Data.Singletons.Prelude.Instances.SNil+ sCompare+ (SSucc (sA_0123456789876543210 :: Sing a_0123456789876543210))+ (SSucc (sB_0123456789876543210 :: Sing b_0123456789876543210))+ = (applySing+ ((applySing+ ((applySing ((singFun3 @FoldlSym0) sFoldl))+ ((singFun2 @ThenCmpSym0) sThenCmp)))+ SEQ))+ ((applySing+ ((applySing+ ((singFun2 @(:@#@$))+ Data.Singletons.Prelude.Instances.SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ Data.Singletons.Prelude.Instances.SNil)+ sCompare SZero (SSucc _) = SLT+ sCompare (SSucc _) SZero = SGT+ instance SEq Nat => SEq Nat where+ (%==) SZero SZero = STrue+ (%==) SZero (SSucc _) = SFalse+ (%==) (SSucc _) SZero = SFalse+ (%==) (SSucc a) (SSucc b) = ((%==) a) b+ instance SDecide Nat => SDecide Nat where+ (%~) SZero SZero = Proved Refl+ (%~) SZero (SSucc _) = Disproved (\ x -> case x of)+ (%~) (SSucc _) SZero = Disproved (\ x -> case x of)+ (%~) (SSucc a) (SSucc b)+ = case ((%~) a) b of+ Proved Refl -> Proved Refl+ Disproved contra+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ deriving instance Data.Singletons.ShowSing.ShowSing Nat =>+ Show (Sing (z :: Nat))+ instance SingI Zero where+ sing = SZero+ instance SingI n => SingI (Succ (n :: Nat)) where+ sing = SSucc sing+ instance SingI (SuccSym0 :: (~>) Nat Nat) where+ sing = (singFun1 @SuccSym0) SSucc+ instance SingI (TyCon1 Succ :: (~>) Nat Nat) where+ sing = (singFun1 @(TyCon1 Succ)) SSucc
+ tests/compile-and-dump/Singletons/NatSymbolReflexive.ghc86.template view
+ tests/compile-and-dump/Singletons/NatSymbolReflexive.hs view
@@ -0,0 +1,11 @@+module NatSymbolReflexive where++import Data.Singletons.Prelude+import Data.Type.Equality ((:~:)(..))+import GHC.TypeLits++test1 :: forall (a :: Nat). Sing a -> (a == a) :~: True+test1 _ = Refl++test2 :: forall (a :: Symbol). Sing a -> (a == a) :~: True+test2 _ = Refl
− tests/compile-and-dump/Singletons/Operators.ghc84.template
@@ -1,103 +0,0 @@-Singletons/Operators.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| child :: Foo -> Foo- child FLeaf = FLeaf- child (a :+: _) = a- (+) :: Nat -> Nat -> Nat- Zero + m = m- (Succ n) + m = Succ (n + m)- - data Foo- where- FLeaf :: Foo- (:+:) :: Foo -> Foo -> Foo |]- ======>- data Foo- where- FLeaf :: Foo- (:+:) :: Foo -> Foo -> Foo- child :: Foo -> Foo- child FLeaf = FLeaf- child (a :+: _) = a- (+) :: Nat -> Nat -> Nat- (+) Zero m = m- (+) (Succ n) m = Succ (n + m)- type FLeafSym0 = FLeaf- type (:+:@#@$$$) (t :: Foo) (t :: Foo) = (:+:) t t- instance SuppressUnusedWarnings (:+:@#@$$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (::+:@#@$$###)) GHC.Tuple.())- data (:+:@#@$$) (l :: Foo) (l :: TyFun Foo Foo)- = forall arg. SameKind (Apply ((:+:@#@$$) l) arg) ((:+:@#@$$$) l arg) =>- (::+:@#@$$###)- type instance Apply ((:+:@#@$$) l) l = (:+:) l l- instance SuppressUnusedWarnings (:+:@#@$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (::+:@#@$###)) GHC.Tuple.())- data (:+:@#@$) (l :: TyFun Foo (TyFun Foo Foo -> GHC.Types.Type))- = forall arg. SameKind (Apply (:+:@#@$) arg) ((:+:@#@$$) arg) =>- (::+:@#@$###)- type instance Apply (:+:@#@$) l = (:+:@#@$$) l- type (+@#@$$$) (t :: Nat) (t :: Nat) = (+) t t- instance SuppressUnusedWarnings (+@#@$$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (:+@#@$$###)) GHC.Tuple.())- data (+@#@$$) (l :: Nat) (l :: TyFun Nat Nat)- = forall arg. SameKind (Apply ((+@#@$$) l) arg) ((+@#@$$$) l arg) =>- (:+@#@$$###)- type instance Apply ((+@#@$$) l) l = (+) l l- instance SuppressUnusedWarnings (+@#@$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (:+@#@$###)) GHC.Tuple.())- data (+@#@$) (l :: TyFun Nat (TyFun Nat Nat -> GHC.Types.Type))- = forall arg. SameKind (Apply (+@#@$) arg) ((+@#@$$) arg) =>- (:+@#@$###)- type instance Apply (+@#@$) l = (+@#@$$) l- type ChildSym1 (t :: Foo) = Child t- instance SuppressUnusedWarnings ChildSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) ChildSym0KindInference) GHC.Tuple.())- data ChildSym0 (l :: TyFun Foo Foo)- = forall arg. SameKind (Apply ChildSym0 arg) (ChildSym1 arg) =>- ChildSym0KindInference- type instance Apply ChildSym0 l = Child l- type family (+) (a :: Nat) (a :: Nat) :: Nat where- (+) Zero m = m- (+) (Succ n) m = Apply SuccSym0 (Apply (Apply (+@#@$) n) m)- type family Child (a :: Foo) :: Foo where- Child FLeaf = FLeafSym0- Child ((:+:) a _) = a- (%+) ::- forall (t :: Nat) (t :: Nat).- Sing t -> Sing t -> Sing (Apply (Apply (+@#@$) t) t :: Nat)- sChild ::- forall (t :: Foo). Sing t -> Sing (Apply ChildSym0 t :: Foo)- (%+) SZero (sM :: Sing m) = sM- (%+) (SSucc (sN :: Sing n)) (sM :: Sing m)- = (applySing ((singFun1 @SuccSym0) SSucc))- ((applySing ((applySing ((singFun2 @(+@#@$)) (%+))) sN)) sM)- sChild SFLeaf = SFLeaf- sChild ((:%+:) (sA :: Sing a) _) = sA- data instance Sing (z :: Foo)- where- SFLeaf :: Sing FLeaf- (:%+:) :: forall (n :: Foo) (n :: Foo).- (Sing (n :: Foo)) -> (Sing (n :: Foo)) -> Sing ((:+:) n n)- type SFoo = (Sing :: Foo -> GHC.Types.Type)- instance SingKind Foo where- type Demote Foo = Foo- fromSing SFLeaf = FLeaf- fromSing ((:%+:) b b) = ((:+:) (fromSing b)) (fromSing b)- toSing FLeaf = SomeSing SFLeaf- toSing ((:+:) (b :: Demote Foo) (b :: Demote Foo))- = case- (GHC.Tuple.(,) (toSing b :: SomeSing Foo))- (toSing b :: SomeSing Foo)- of {- GHC.Tuple.(,) (SomeSing c) (SomeSing c)- -> SomeSing (((:%+:) c) c) }- instance SingI FLeaf where- sing = SFLeaf- instance (SingI n, SingI n) =>- SingI ((:+:) (n :: Foo) (n :: Foo)) where- sing = ((:%+:) sing) sing
+ tests/compile-and-dump/Singletons/Operators.ghc86.template view
@@ -0,0 +1,128 @@+Singletons/Operators.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| child :: Foo -> Foo+ child FLeaf = FLeaf+ child (a :+: _) = a+ (+) :: Nat -> Nat -> Nat+ Zero + m = m+ (Succ n) + m = Succ (n + m)+ + data Foo+ where+ FLeaf :: Foo+ (:+:) :: Foo -> Foo -> Foo |]+ ======>+ data Foo+ where+ FLeaf :: Foo+ (:+:) :: Foo -> Foo -> Foo+ child :: Foo -> Foo+ child FLeaf = FLeaf+ child (a :+: _) = a+ (+) :: Nat -> Nat -> Nat+ (+) Zero m = m+ (+) (Succ n) m = Succ (n + m)+ type FLeafSym0 = FLeaf+ type (:+:@#@$$$) (t0123456789876543210 :: Foo) (t0123456789876543210 :: Foo) =+ (:+:) t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings ((:+:@#@$$) t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) (::+:@#@$$###)) ())+ data (:+:@#@$$) (t0123456789876543210 :: Foo) :: (~>) Foo Foo+ where+ (::+:@#@$$###) :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply ((:+:@#@$$) t0123456789876543210) arg) ((:+:@#@$$$) t0123456789876543210 arg) =>+ (:+:@#@$$) t0123456789876543210 t0123456789876543210+ type instance Apply ((:+:@#@$$) t0123456789876543210) t0123456789876543210 = (:+:) t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (:+:@#@$) where+ suppressUnusedWarnings = snd (((,) (::+:@#@$###)) ())+ data (:+:@#@$) :: (~>) Foo ((~>) Foo Foo)+ where+ (::+:@#@$###) :: forall t0123456789876543210+ arg. SameKind (Apply (:+:@#@$) arg) ((:+:@#@$$) arg) =>+ (:+:@#@$) t0123456789876543210+ type instance Apply (:+:@#@$) t0123456789876543210 = (:+:@#@$$) t0123456789876543210+ type (+@#@$$$) (a0123456789876543210 :: Nat) (a0123456789876543210 :: Nat) =+ (+) a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ((+@#@$$) a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) (:+@#@$$###)) ())+ data (+@#@$$) (a0123456789876543210 :: Nat) :: (~>) Nat Nat+ where+ (:+@#@$$###) :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply ((+@#@$$) a0123456789876543210) arg) ((+@#@$$$) a0123456789876543210 arg) =>+ (+@#@$$) a0123456789876543210 a0123456789876543210+ type instance Apply ((+@#@$$) a0123456789876543210) a0123456789876543210 = (+) a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (+@#@$) where+ suppressUnusedWarnings = snd (((,) (:+@#@$###)) ())+ data (+@#@$) :: (~>) Nat ((~>) Nat Nat)+ where+ (:+@#@$###) :: forall a0123456789876543210+ arg. SameKind (Apply (+@#@$) arg) ((+@#@$$) arg) =>+ (+@#@$) a0123456789876543210+ type instance Apply (+@#@$) a0123456789876543210 = (+@#@$$) a0123456789876543210+ type ChildSym1 (a0123456789876543210 :: Foo) =+ Child a0123456789876543210+ instance SuppressUnusedWarnings ChildSym0 where+ suppressUnusedWarnings = snd (((,) ChildSym0KindInference) ())+ data ChildSym0 :: (~>) Foo Foo+ where+ ChildSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply ChildSym0 arg) (ChildSym1 arg) =>+ ChildSym0 a0123456789876543210+ type instance Apply ChildSym0 a0123456789876543210 = Child a0123456789876543210+ type family (+) (a :: Nat) (a :: Nat) :: Nat where+ (+) 'Zero m = m+ (+) ( 'Succ n) m = Apply SuccSym0 (Apply (Apply (+@#@$) n) m)+ type family Child (a :: Foo) :: Foo where+ Child FLeaf = FLeafSym0+ Child ((:+:) a _) = a+ (%+) ::+ forall (t :: Nat) (t :: Nat).+ Sing t -> Sing t -> Sing (Apply (Apply (+@#@$) t) t :: Nat)+ sChild ::+ forall (t :: Foo). Sing t -> Sing (Apply ChildSym0 t :: Foo)+ (%+) SZero (sM :: Sing m) = sM+ (%+) (SSucc (sN :: Sing n)) (sM :: Sing m)+ = (applySing ((singFun1 @SuccSym0) SSucc))+ ((applySing ((applySing ((singFun2 @(+@#@$)) (%+))) sN)) sM)+ sChild SFLeaf = SFLeaf+ sChild ((:%+:) (sA :: Sing a) _) = sA+ instance SingI ((+@#@$) :: (~>) Nat ((~>) Nat Nat)) where+ sing = (singFun2 @(+@#@$)) (%+)+ instance SingI d =>+ SingI ((+@#@$$) (d :: Nat) :: (~>) Nat Nat) where+ sing = (singFun1 @((+@#@$$) (d :: Nat))) ((%+) (sing @d))+ instance SingI (ChildSym0 :: (~>) Foo Foo) where+ sing = (singFun1 @ChildSym0) sChild+ data instance Sing :: Foo -> GHC.Types.Type+ where+ SFLeaf :: Sing FLeaf+ (:%+:) :: forall (n :: Foo) (n :: Foo).+ (Sing (n :: Foo)) -> (Sing (n :: Foo)) -> Sing ((:+:) n n)+ type SFoo = (Sing :: Foo -> GHC.Types.Type)+ instance SingKind Foo where+ type Demote Foo = Foo+ fromSing SFLeaf = FLeaf+ fromSing ((:%+:) b b) = ((:+:) (fromSing b)) (fromSing b)+ toSing FLeaf = SomeSing SFLeaf+ toSing ((:+:) (b :: Demote Foo) (b :: Demote Foo))+ = case+ ((,) (toSing b :: SomeSing Foo)) (toSing b :: SomeSing Foo)+ of {+ (,) (SomeSing c) (SomeSing c) -> SomeSing (((:%+:) c) c) }+ instance SingI FLeaf where+ sing = SFLeaf+ instance (SingI n, SingI n) =>+ SingI ((:+:) (n :: Foo) (n :: Foo)) where+ sing = ((:%+:) sing) sing+ instance SingI ((:+:@#@$) :: (~>) Foo ((~>) Foo Foo)) where+ sing = (singFun2 @(:+:@#@$)) (:%+:)+ instance SingI (TyCon2 (:+:) :: (~>) Foo ((~>) Foo Foo)) where+ sing = (singFun2 @(TyCon2 (:+:))) (:%+:)+ instance SingI d =>+ SingI ((:+:@#@$$) (d :: Foo) :: (~>) Foo Foo) where+ sing = (singFun1 @((:+:@#@$$) (d :: Foo))) ((:%+:) (sing @d))+ instance SingI d =>+ SingI (TyCon1 ((:+:) (d :: Foo)) :: (~>) Foo Foo) where+ sing = (singFun1 @(TyCon1 ((:+:) (d :: Foo)))) ((:%+:) (sing @d))
tests/compile-and-dump/Singletons/Operators.hs view
@@ -1,5 +1,3 @@-{-# OPTIONS_GHC -Wno-unused-imports #-}- module Singletons.Operators where import Data.Singletons
− tests/compile-and-dump/Singletons/OrdDeriving.ghc84.template
@@ -1,999 +0,0 @@-Singletons/OrdDeriving.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| data Nat- = Zero | Succ Nat- deriving (Eq, Ord)- data Foo a b c d- = A a b c d |- B a b c d |- C a b c d |- D a b c d |- E a b c d |- F a b c d- deriving (Eq, Ord) |]- ======>- data Nat- = Zero | Succ Nat- deriving (Eq, Ord)- data Foo a b c d- = A a b c d |- B a b c d |- C a b c d |- D a b c d |- E a b c d |- F a b c d- deriving (Eq, Ord)- type ZeroSym0 = Zero- type SuccSym1 (t :: Nat) = Succ t- instance SuppressUnusedWarnings SuccSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) SuccSym0KindInference) GHC.Tuple.())- data SuccSym0 (l :: TyFun Nat Nat)- = forall arg. SameKind (Apply SuccSym0 arg) (SuccSym1 arg) =>- SuccSym0KindInference- type instance Apply SuccSym0 l = Succ l- type ASym4 (t :: a0123456789876543210) (t :: b0123456789876543210) (t :: c0123456789876543210) (t :: d0123456789876543210) =- A t t t t- instance SuppressUnusedWarnings ASym3 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) ASym3KindInference) GHC.Tuple.())- data ASym3 (l :: a0123456789876543210) (l :: b0123456789876543210) (l :: c0123456789876543210) (l :: TyFun d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210))- = forall arg. SameKind (Apply (ASym3 l l l) arg) (ASym4 l l l arg) =>- ASym3KindInference- type instance Apply (ASym3 l l l) l = A l l l l- instance SuppressUnusedWarnings ASym2 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) ASym2KindInference) GHC.Tuple.())- data ASym2 (l :: a0123456789876543210) (l :: b0123456789876543210) (l :: TyFun c0123456789876543210 (TyFun d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)- -> GHC.Types.Type))- = forall arg. SameKind (Apply (ASym2 l l) arg) (ASym3 l l arg) =>- ASym2KindInference- type instance Apply (ASym2 l l) l = ASym3 l l l- instance SuppressUnusedWarnings ASym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) ASym1KindInference) GHC.Tuple.())- data ASym1 (l :: a0123456789876543210) (l :: TyFun b0123456789876543210 (TyFun c0123456789876543210 (TyFun d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply (ASym1 l) arg) (ASym2 l arg) =>- ASym1KindInference- type instance Apply (ASym1 l) l = ASym2 l l- instance SuppressUnusedWarnings ASym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) ASym0KindInference) GHC.Tuple.())- data ASym0 (l :: TyFun a0123456789876543210 (TyFun b0123456789876543210 (TyFun c0123456789876543210 (TyFun d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)- -> GHC.Types.Type)- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply ASym0 arg) (ASym1 arg) =>- ASym0KindInference- type instance Apply ASym0 l = ASym1 l- type BSym4 (t :: a0123456789876543210) (t :: b0123456789876543210) (t :: c0123456789876543210) (t :: d0123456789876543210) =- B t t t t- instance SuppressUnusedWarnings BSym3 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) BSym3KindInference) GHC.Tuple.())- data BSym3 (l :: a0123456789876543210) (l :: b0123456789876543210) (l :: c0123456789876543210) (l :: TyFun d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210))- = forall arg. SameKind (Apply (BSym3 l l l) arg) (BSym4 l l l arg) =>- BSym3KindInference- type instance Apply (BSym3 l l l) l = B l l l l- instance SuppressUnusedWarnings BSym2 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) BSym2KindInference) GHC.Tuple.())- data BSym2 (l :: a0123456789876543210) (l :: b0123456789876543210) (l :: TyFun c0123456789876543210 (TyFun d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)- -> GHC.Types.Type))- = forall arg. SameKind (Apply (BSym2 l l) arg) (BSym3 l l arg) =>- BSym2KindInference- type instance Apply (BSym2 l l) l = BSym3 l l l- instance SuppressUnusedWarnings BSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) BSym1KindInference) GHC.Tuple.())- data BSym1 (l :: a0123456789876543210) (l :: TyFun b0123456789876543210 (TyFun c0123456789876543210 (TyFun d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply (BSym1 l) arg) (BSym2 l arg) =>- BSym1KindInference- type instance Apply (BSym1 l) l = BSym2 l l- instance SuppressUnusedWarnings BSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) BSym0KindInference) GHC.Tuple.())- data BSym0 (l :: TyFun a0123456789876543210 (TyFun b0123456789876543210 (TyFun c0123456789876543210 (TyFun d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)- -> GHC.Types.Type)- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply BSym0 arg) (BSym1 arg) =>- BSym0KindInference- type instance Apply BSym0 l = BSym1 l- type CSym4 (t :: a0123456789876543210) (t :: b0123456789876543210) (t :: c0123456789876543210) (t :: d0123456789876543210) =- C t t t t- instance SuppressUnusedWarnings CSym3 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) CSym3KindInference) GHC.Tuple.())- data CSym3 (l :: a0123456789876543210) (l :: b0123456789876543210) (l :: c0123456789876543210) (l :: TyFun d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210))- = forall arg. SameKind (Apply (CSym3 l l l) arg) (CSym4 l l l arg) =>- CSym3KindInference- type instance Apply (CSym3 l l l) l = C l l l l- instance SuppressUnusedWarnings CSym2 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) CSym2KindInference) GHC.Tuple.())- data CSym2 (l :: a0123456789876543210) (l :: b0123456789876543210) (l :: TyFun c0123456789876543210 (TyFun d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)- -> GHC.Types.Type))- = forall arg. SameKind (Apply (CSym2 l l) arg) (CSym3 l l arg) =>- CSym2KindInference- type instance Apply (CSym2 l l) l = CSym3 l l l- instance SuppressUnusedWarnings CSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) CSym1KindInference) GHC.Tuple.())- data CSym1 (l :: a0123456789876543210) (l :: TyFun b0123456789876543210 (TyFun c0123456789876543210 (TyFun d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply (CSym1 l) arg) (CSym2 l arg) =>- CSym1KindInference- type instance Apply (CSym1 l) l = CSym2 l l- instance SuppressUnusedWarnings CSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) CSym0KindInference) GHC.Tuple.())- data CSym0 (l :: TyFun a0123456789876543210 (TyFun b0123456789876543210 (TyFun c0123456789876543210 (TyFun d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)- -> GHC.Types.Type)- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply CSym0 arg) (CSym1 arg) =>- CSym0KindInference- type instance Apply CSym0 l = CSym1 l- type DSym4 (t :: a0123456789876543210) (t :: b0123456789876543210) (t :: c0123456789876543210) (t :: d0123456789876543210) =- D t t t t- instance SuppressUnusedWarnings DSym3 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) DSym3KindInference) GHC.Tuple.())- data DSym3 (l :: a0123456789876543210) (l :: b0123456789876543210) (l :: c0123456789876543210) (l :: TyFun d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210))- = forall arg. SameKind (Apply (DSym3 l l l) arg) (DSym4 l l l arg) =>- DSym3KindInference- type instance Apply (DSym3 l l l) l = D l l l l- instance SuppressUnusedWarnings DSym2 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) DSym2KindInference) GHC.Tuple.())- data DSym2 (l :: a0123456789876543210) (l :: b0123456789876543210) (l :: TyFun c0123456789876543210 (TyFun d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)- -> GHC.Types.Type))- = forall arg. SameKind (Apply (DSym2 l l) arg) (DSym3 l l arg) =>- DSym2KindInference- type instance Apply (DSym2 l l) l = DSym3 l l l- instance SuppressUnusedWarnings DSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) DSym1KindInference) GHC.Tuple.())- data DSym1 (l :: a0123456789876543210) (l :: TyFun b0123456789876543210 (TyFun c0123456789876543210 (TyFun d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply (DSym1 l) arg) (DSym2 l arg) =>- DSym1KindInference- type instance Apply (DSym1 l) l = DSym2 l l- instance SuppressUnusedWarnings DSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) DSym0KindInference) GHC.Tuple.())- data DSym0 (l :: TyFun a0123456789876543210 (TyFun b0123456789876543210 (TyFun c0123456789876543210 (TyFun d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)- -> GHC.Types.Type)- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply DSym0 arg) (DSym1 arg) =>- DSym0KindInference- type instance Apply DSym0 l = DSym1 l- type ESym4 (t :: a0123456789876543210) (t :: b0123456789876543210) (t :: c0123456789876543210) (t :: d0123456789876543210) =- E t t t t- instance SuppressUnusedWarnings ESym3 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) ESym3KindInference) GHC.Tuple.())- data ESym3 (l :: a0123456789876543210) (l :: b0123456789876543210) (l :: c0123456789876543210) (l :: TyFun d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210))- = forall arg. SameKind (Apply (ESym3 l l l) arg) (ESym4 l l l arg) =>- ESym3KindInference- type instance Apply (ESym3 l l l) l = E l l l l- instance SuppressUnusedWarnings ESym2 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) ESym2KindInference) GHC.Tuple.())- data ESym2 (l :: a0123456789876543210) (l :: b0123456789876543210) (l :: TyFun c0123456789876543210 (TyFun d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)- -> GHC.Types.Type))- = forall arg. SameKind (Apply (ESym2 l l) arg) (ESym3 l l arg) =>- ESym2KindInference- type instance Apply (ESym2 l l) l = ESym3 l l l- instance SuppressUnusedWarnings ESym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) ESym1KindInference) GHC.Tuple.())- data ESym1 (l :: a0123456789876543210) (l :: TyFun b0123456789876543210 (TyFun c0123456789876543210 (TyFun d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply (ESym1 l) arg) (ESym2 l arg) =>- ESym1KindInference- type instance Apply (ESym1 l) l = ESym2 l l- instance SuppressUnusedWarnings ESym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) ESym0KindInference) GHC.Tuple.())- data ESym0 (l :: TyFun a0123456789876543210 (TyFun b0123456789876543210 (TyFun c0123456789876543210 (TyFun d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)- -> GHC.Types.Type)- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply ESym0 arg) (ESym1 arg) =>- ESym0KindInference- type instance Apply ESym0 l = ESym1 l- type FSym4 (t :: a0123456789876543210) (t :: b0123456789876543210) (t :: c0123456789876543210) (t :: d0123456789876543210) =- F t t t t- instance SuppressUnusedWarnings FSym3 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) FSym3KindInference) GHC.Tuple.())- data FSym3 (l :: a0123456789876543210) (l :: b0123456789876543210) (l :: c0123456789876543210) (l :: TyFun d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210))- = forall arg. SameKind (Apply (FSym3 l l l) arg) (FSym4 l l l arg) =>- FSym3KindInference- type instance Apply (FSym3 l l l) l = F l l l l- instance SuppressUnusedWarnings FSym2 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) FSym2KindInference) GHC.Tuple.())- data FSym2 (l :: a0123456789876543210) (l :: b0123456789876543210) (l :: TyFun c0123456789876543210 (TyFun d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)- -> GHC.Types.Type))- = forall arg. SameKind (Apply (FSym2 l l) arg) (FSym3 l l arg) =>- FSym2KindInference- type instance Apply (FSym2 l l) l = FSym3 l l l- instance SuppressUnusedWarnings FSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) FSym1KindInference) GHC.Tuple.())- data FSym1 (l :: a0123456789876543210) (l :: TyFun b0123456789876543210 (TyFun c0123456789876543210 (TyFun d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply (FSym1 l) arg) (FSym2 l arg) =>- FSym1KindInference- type instance Apply (FSym1 l) l = FSym2 l l- instance SuppressUnusedWarnings FSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) FSym0KindInference) GHC.Tuple.())- data FSym0 (l :: TyFun a0123456789876543210 (TyFun b0123456789876543210 (TyFun c0123456789876543210 (TyFun d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)- -> GHC.Types.Type)- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply FSym0 arg) (FSym1 arg) =>- FSym0KindInference- type instance Apply FSym0 l = FSym1 l- type family Compare_0123456789876543210 (a :: Nat) (a :: Nat) :: Ordering where- Compare_0123456789876543210 Zero Zero = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) '[]- Compare_0123456789876543210 (Succ a_0123456789876543210) (Succ b_0123456789876543210) = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) '[])- Compare_0123456789876543210 Zero (Succ _) = LTSym0- Compare_0123456789876543210 (Succ _) Zero = GTSym0- type Compare_0123456789876543210Sym2 (t :: Nat) (t :: Nat) =- Compare_0123456789876543210 t t- instance SuppressUnusedWarnings Compare_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Compare_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Compare_0123456789876543210Sym1 (l :: Nat) (l :: TyFun Nat Ordering)- = forall arg. SameKind (Apply (Compare_0123456789876543210Sym1 l) arg) (Compare_0123456789876543210Sym2 l arg) =>- Compare_0123456789876543210Sym1KindInference- type instance Apply (Compare_0123456789876543210Sym1 l) l = Compare_0123456789876543210 l l- instance SuppressUnusedWarnings Compare_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Compare_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Compare_0123456789876543210Sym0 (l :: TyFun Nat (TyFun Nat Ordering- -> GHC.Types.Type))- = forall arg. SameKind (Apply Compare_0123456789876543210Sym0 arg) (Compare_0123456789876543210Sym1 arg) =>- Compare_0123456789876543210Sym0KindInference- type instance Apply Compare_0123456789876543210Sym0 l = Compare_0123456789876543210Sym1 l- instance POrd Nat where- type Compare a a = Apply (Apply Compare_0123456789876543210Sym0 a) a- type family Compare_0123456789876543210 (a :: Foo a b c d) (a :: Foo a b c d) :: Ordering where- Compare_0123456789876543210 (A a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210) (A b_0123456789876543210 b_0123456789876543210 b_0123456789876543210 b_0123456789876543210) = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) '[]))))- Compare_0123456789876543210 (B a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210) (B b_0123456789876543210 b_0123456789876543210 b_0123456789876543210 b_0123456789876543210) = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) '[]))))- Compare_0123456789876543210 (C a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210) (C b_0123456789876543210 b_0123456789876543210 b_0123456789876543210 b_0123456789876543210) = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) '[]))))- Compare_0123456789876543210 (D a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210) (D b_0123456789876543210 b_0123456789876543210 b_0123456789876543210 b_0123456789876543210) = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) '[]))))- Compare_0123456789876543210 (E a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210) (E b_0123456789876543210 b_0123456789876543210 b_0123456789876543210 b_0123456789876543210) = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) '[]))))- Compare_0123456789876543210 (F a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210) (F b_0123456789876543210 b_0123456789876543210 b_0123456789876543210 b_0123456789876543210) = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) '[]))))- Compare_0123456789876543210 (A _ _ _ _) (B _ _ _ _) = LTSym0- Compare_0123456789876543210 (A _ _ _ _) (C _ _ _ _) = LTSym0- Compare_0123456789876543210 (A _ _ _ _) (D _ _ _ _) = LTSym0- Compare_0123456789876543210 (A _ _ _ _) (E _ _ _ _) = LTSym0- Compare_0123456789876543210 (A _ _ _ _) (F _ _ _ _) = LTSym0- Compare_0123456789876543210 (B _ _ _ _) (A _ _ _ _) = GTSym0- Compare_0123456789876543210 (B _ _ _ _) (C _ _ _ _) = LTSym0- Compare_0123456789876543210 (B _ _ _ _) (D _ _ _ _) = LTSym0- Compare_0123456789876543210 (B _ _ _ _) (E _ _ _ _) = LTSym0- Compare_0123456789876543210 (B _ _ _ _) (F _ _ _ _) = LTSym0- Compare_0123456789876543210 (C _ _ _ _) (A _ _ _ _) = GTSym0- Compare_0123456789876543210 (C _ _ _ _) (B _ _ _ _) = GTSym0- Compare_0123456789876543210 (C _ _ _ _) (D _ _ _ _) = LTSym0- Compare_0123456789876543210 (C _ _ _ _) (E _ _ _ _) = LTSym0- Compare_0123456789876543210 (C _ _ _ _) (F _ _ _ _) = LTSym0- Compare_0123456789876543210 (D _ _ _ _) (A _ _ _ _) = GTSym0- Compare_0123456789876543210 (D _ _ _ _) (B _ _ _ _) = GTSym0- Compare_0123456789876543210 (D _ _ _ _) (C _ _ _ _) = GTSym0- Compare_0123456789876543210 (D _ _ _ _) (E _ _ _ _) = LTSym0- Compare_0123456789876543210 (D _ _ _ _) (F _ _ _ _) = LTSym0- Compare_0123456789876543210 (E _ _ _ _) (A _ _ _ _) = GTSym0- Compare_0123456789876543210 (E _ _ _ _) (B _ _ _ _) = GTSym0- Compare_0123456789876543210 (E _ _ _ _) (C _ _ _ _) = GTSym0- Compare_0123456789876543210 (E _ _ _ _) (D _ _ _ _) = GTSym0- Compare_0123456789876543210 (E _ _ _ _) (F _ _ _ _) = LTSym0- Compare_0123456789876543210 (F _ _ _ _) (A _ _ _ _) = GTSym0- Compare_0123456789876543210 (F _ _ _ _) (B _ _ _ _) = GTSym0- Compare_0123456789876543210 (F _ _ _ _) (C _ _ _ _) = GTSym0- Compare_0123456789876543210 (F _ _ _ _) (D _ _ _ _) = GTSym0- Compare_0123456789876543210 (F _ _ _ _) (E _ _ _ _) = GTSym0- type Compare_0123456789876543210Sym2 (t :: Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210) (t :: Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210) =- Compare_0123456789876543210 t t- instance SuppressUnusedWarnings Compare_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Compare_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Compare_0123456789876543210Sym1 (l :: Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210) (l :: TyFun (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210) Ordering)- = forall arg. SameKind (Apply (Compare_0123456789876543210Sym1 l) arg) (Compare_0123456789876543210Sym2 l arg) =>- Compare_0123456789876543210Sym1KindInference- type instance Apply (Compare_0123456789876543210Sym1 l) l = Compare_0123456789876543210 l l- instance SuppressUnusedWarnings Compare_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Compare_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Compare_0123456789876543210Sym0 (l :: TyFun (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210) (TyFun (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210) Ordering- -> GHC.Types.Type))- = forall arg. SameKind (Apply Compare_0123456789876543210Sym0 arg) (Compare_0123456789876543210Sym1 arg) =>- Compare_0123456789876543210Sym0KindInference- type instance Apply Compare_0123456789876543210Sym0 l = Compare_0123456789876543210Sym1 l- instance POrd (Foo a b c d) where- type Compare a a = Apply (Apply Compare_0123456789876543210Sym0 a) a- type family Equals_0123456789876543210 (a :: Nat) (b :: Nat) :: Bool where- Equals_0123456789876543210 Zero Zero = TrueSym0- Equals_0123456789876543210 (Succ a) (Succ b) = (==) a b- Equals_0123456789876543210 (_ :: Nat) (_ :: Nat) = FalseSym0- instance PEq Nat where- type (==) a b = Equals_0123456789876543210 a b- type family Equals_0123456789876543210 (a :: Foo a b c d) (b :: Foo a b c d) :: Bool where- Equals_0123456789876543210 (A a a a a) (A b b b b) = (&&) ((==) a b) ((&&) ((==) a b) ((&&) ((==) a b) ((==) a b)))- Equals_0123456789876543210 (B a a a a) (B b b b b) = (&&) ((==) a b) ((&&) ((==) a b) ((&&) ((==) a b) ((==) a b)))- Equals_0123456789876543210 (C a a a a) (C b b b b) = (&&) ((==) a b) ((&&) ((==) a b) ((&&) ((==) a b) ((==) a b)))- Equals_0123456789876543210 (D a a a a) (D b b b b) = (&&) ((==) a b) ((&&) ((==) a b) ((&&) ((==) a b) ((==) a b)))- Equals_0123456789876543210 (E a a a a) (E b b b b) = (&&) ((==) a b) ((&&) ((==) a b) ((&&) ((==) a b) ((==) a b)))- Equals_0123456789876543210 (F a a a a) (F b b b b) = (&&) ((==) a b) ((&&) ((==) a b) ((&&) ((==) a b) ((==) a b)))- Equals_0123456789876543210 (_ :: Foo a b c d) (_ :: Foo a b c d) = FalseSym0- instance PEq (Foo a b c d) where- type (==) a b = Equals_0123456789876543210 a b- data instance Sing (z :: Nat)- where- SZero :: Sing Zero- SSucc :: forall (n :: Nat). (Sing (n :: Nat)) -> Sing (Succ n)- type SNat = (Sing :: Nat -> GHC.Types.Type)- instance SingKind Nat where- type Demote Nat = Nat- fromSing SZero = Zero- fromSing (SSucc b) = Succ (fromSing b)- toSing Zero = SomeSing SZero- toSing (Succ (b :: Demote Nat))- = case toSing b :: SomeSing Nat of {- SomeSing c -> SomeSing (SSucc c) }- data instance Sing (z :: Foo a b c d)- where- SA :: forall (n :: a) (n :: b) (n :: c) (n :: d).- (Sing (n :: a))- -> (Sing (n :: b))- -> (Sing (n :: c)) -> (Sing (n :: d)) -> Sing (A n n n n)- SB :: forall (n :: a) (n :: b) (n :: c) (n :: d).- (Sing (n :: a))- -> (Sing (n :: b))- -> (Sing (n :: c)) -> (Sing (n :: d)) -> Sing (B n n n n)- SC :: forall (n :: a) (n :: b) (n :: c) (n :: d).- (Sing (n :: a))- -> (Sing (n :: b))- -> (Sing (n :: c)) -> (Sing (n :: d)) -> Sing (C n n n n)- SD :: forall (n :: a) (n :: b) (n :: c) (n :: d).- (Sing (n :: a))- -> (Sing (n :: b))- -> (Sing (n :: c)) -> (Sing (n :: d)) -> Sing (D n n n n)- SE :: forall (n :: a) (n :: b) (n :: c) (n :: d).- (Sing (n :: a))- -> (Sing (n :: b))- -> (Sing (n :: c)) -> (Sing (n :: d)) -> Sing (E n n n n)- SF :: forall (n :: a) (n :: b) (n :: c) (n :: d).- (Sing (n :: a))- -> (Sing (n :: b))- -> (Sing (n :: c)) -> (Sing (n :: d)) -> Sing (F n n n n)- type SFoo = (Sing :: Foo a b c d -> GHC.Types.Type)- instance (SingKind a, SingKind b, SingKind c, SingKind d) =>- SingKind (Foo a b c d) where- type Demote (Foo a b c d) = Foo (Demote a) (Demote b) (Demote c) (Demote d)- fromSing (SA b b b b)- = (((A (fromSing b)) (fromSing b)) (fromSing b)) (fromSing b)- fromSing (SB b b b b)- = (((B (fromSing b)) (fromSing b)) (fromSing b)) (fromSing b)- fromSing (SC b b b b)- = (((C (fromSing b)) (fromSing b)) (fromSing b)) (fromSing b)- fromSing (SD b b b b)- = (((D (fromSing b)) (fromSing b)) (fromSing b)) (fromSing b)- fromSing (SE b b b b)- = (((E (fromSing b)) (fromSing b)) (fromSing b)) (fromSing b)- fromSing (SF b b b b)- = (((F (fromSing b)) (fromSing b)) (fromSing b)) (fromSing b)- toSing- (A (b :: Demote a) (b :: Demote b) (b :: Demote c) (b :: Demote d))- = case- (((GHC.Tuple.(,,,) (toSing b :: SomeSing a))- (toSing b :: SomeSing b))- (toSing b :: SomeSing c))- (toSing b :: SomeSing d)- of {- GHC.Tuple.(,,,) (SomeSing c) (SomeSing c) (SomeSing c) (SomeSing c)- -> SomeSing ((((SA c) c) c) c) }- toSing- (B (b :: Demote a) (b :: Demote b) (b :: Demote c) (b :: Demote d))- = case- (((GHC.Tuple.(,,,) (toSing b :: SomeSing a))- (toSing b :: SomeSing b))- (toSing b :: SomeSing c))- (toSing b :: SomeSing d)- of {- GHC.Tuple.(,,,) (SomeSing c) (SomeSing c) (SomeSing c) (SomeSing c)- -> SomeSing ((((SB c) c) c) c) }- toSing- (C (b :: Demote a) (b :: Demote b) (b :: Demote c) (b :: Demote d))- = case- (((GHC.Tuple.(,,,) (toSing b :: SomeSing a))- (toSing b :: SomeSing b))- (toSing b :: SomeSing c))- (toSing b :: SomeSing d)- of {- GHC.Tuple.(,,,) (SomeSing c) (SomeSing c) (SomeSing c) (SomeSing c)- -> SomeSing ((((SC c) c) c) c) }- toSing- (D (b :: Demote a) (b :: Demote b) (b :: Demote c) (b :: Demote d))- = case- (((GHC.Tuple.(,,,) (toSing b :: SomeSing a))- (toSing b :: SomeSing b))- (toSing b :: SomeSing c))- (toSing b :: SomeSing d)- of {- GHC.Tuple.(,,,) (SomeSing c) (SomeSing c) (SomeSing c) (SomeSing c)- -> SomeSing ((((SD c) c) c) c) }- toSing- (E (b :: Demote a) (b :: Demote b) (b :: Demote c) (b :: Demote d))- = case- (((GHC.Tuple.(,,,) (toSing b :: SomeSing a))- (toSing b :: SomeSing b))- (toSing b :: SomeSing c))- (toSing b :: SomeSing d)- of {- GHC.Tuple.(,,,) (SomeSing c) (SomeSing c) (SomeSing c) (SomeSing c)- -> SomeSing ((((SE c) c) c) c) }- toSing- (F (b :: Demote a) (b :: Demote b) (b :: Demote c) (b :: Demote d))- = case- (((GHC.Tuple.(,,,) (toSing b :: SomeSing a))- (toSing b :: SomeSing b))- (toSing b :: SomeSing c))- (toSing b :: SomeSing d)- of {- GHC.Tuple.(,,,) (SomeSing c) (SomeSing c) (SomeSing c) (SomeSing c)- -> SomeSing ((((SF c) c) c) c) }- instance SOrd Nat => SOrd Nat where- sCompare ::- forall (t1 :: Nat) (t2 :: Nat).- Sing t1- -> Sing t2- -> Sing (Apply (Apply (CompareSym0 :: TyFun Nat (TyFun Nat Ordering- -> GHC.Types.Type)- -> GHC.Types.Type) t1) t2)- sCompare SZero SZero- = (applySing- ((applySing- ((applySing ((singFun3 @FoldlSym0) sFoldl))- ((singFun2 @ThenCmpSym0) sThenCmp)))- SEQ))- SNil- sCompare- (SSucc (sA_0123456789876543210 :: Sing a_0123456789876543210))- (SSucc (sB_0123456789876543210 :: Sing b_0123456789876543210))- = (applySing- ((applySing- ((applySing ((singFun3 @FoldlSym0) sFoldl))- ((singFun2 @ThenCmpSym0) sThenCmp)))- SEQ))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- SNil)- sCompare SZero (SSucc _) = SLT- sCompare (SSucc _) SZero = SGT- instance (SOrd a, SOrd b, SOrd c, SOrd d) =>- SOrd (Foo a b c d) where- sCompare ::- forall (t1 :: Foo a b c d) (t2 :: Foo a b c d).- Sing t1- -> Sing t2- -> Sing (Apply (Apply (CompareSym0 :: TyFun (Foo a b c d) (TyFun (Foo a b c d) Ordering- -> GHC.Types.Type)- -> GHC.Types.Type) t1) t2)- sCompare- (SA (sA_0123456789876543210 :: Sing a_0123456789876543210)- (sA_0123456789876543210 :: Sing a_0123456789876543210)- (sA_0123456789876543210 :: Sing a_0123456789876543210)- (sA_0123456789876543210 :: Sing a_0123456789876543210))- (SA (sB_0123456789876543210 :: Sing b_0123456789876543210)- (sB_0123456789876543210 :: Sing b_0123456789876543210)- (sB_0123456789876543210 :: Sing b_0123456789876543210)- (sB_0123456789876543210 :: Sing b_0123456789876543210))- = (applySing- ((applySing- ((applySing ((singFun3 @FoldlSym0) sFoldl))- ((singFun2 @ThenCmpSym0) sThenCmp)))- SEQ))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- SNil))))- sCompare- (SB (sA_0123456789876543210 :: Sing a_0123456789876543210)- (sA_0123456789876543210 :: Sing a_0123456789876543210)- (sA_0123456789876543210 :: Sing a_0123456789876543210)- (sA_0123456789876543210 :: Sing a_0123456789876543210))- (SB (sB_0123456789876543210 :: Sing b_0123456789876543210)- (sB_0123456789876543210 :: Sing b_0123456789876543210)- (sB_0123456789876543210 :: Sing b_0123456789876543210)- (sB_0123456789876543210 :: Sing b_0123456789876543210))- = (applySing- ((applySing- ((applySing ((singFun3 @FoldlSym0) sFoldl))- ((singFun2 @ThenCmpSym0) sThenCmp)))- SEQ))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- SNil))))- sCompare- (SC (sA_0123456789876543210 :: Sing a_0123456789876543210)- (sA_0123456789876543210 :: Sing a_0123456789876543210)- (sA_0123456789876543210 :: Sing a_0123456789876543210)- (sA_0123456789876543210 :: Sing a_0123456789876543210))- (SC (sB_0123456789876543210 :: Sing b_0123456789876543210)- (sB_0123456789876543210 :: Sing b_0123456789876543210)- (sB_0123456789876543210 :: Sing b_0123456789876543210)- (sB_0123456789876543210 :: Sing b_0123456789876543210))- = (applySing- ((applySing- ((applySing ((singFun3 @FoldlSym0) sFoldl))- ((singFun2 @ThenCmpSym0) sThenCmp)))- SEQ))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- SNil))))- sCompare- (SD (sA_0123456789876543210 :: Sing a_0123456789876543210)- (sA_0123456789876543210 :: Sing a_0123456789876543210)- (sA_0123456789876543210 :: Sing a_0123456789876543210)- (sA_0123456789876543210 :: Sing a_0123456789876543210))- (SD (sB_0123456789876543210 :: Sing b_0123456789876543210)- (sB_0123456789876543210 :: Sing b_0123456789876543210)- (sB_0123456789876543210 :: Sing b_0123456789876543210)- (sB_0123456789876543210 :: Sing b_0123456789876543210))- = (applySing- ((applySing- ((applySing ((singFun3 @FoldlSym0) sFoldl))- ((singFun2 @ThenCmpSym0) sThenCmp)))- SEQ))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- SNil))))- sCompare- (SE (sA_0123456789876543210 :: Sing a_0123456789876543210)- (sA_0123456789876543210 :: Sing a_0123456789876543210)- (sA_0123456789876543210 :: Sing a_0123456789876543210)- (sA_0123456789876543210 :: Sing a_0123456789876543210))- (SE (sB_0123456789876543210 :: Sing b_0123456789876543210)- (sB_0123456789876543210 :: Sing b_0123456789876543210)- (sB_0123456789876543210 :: Sing b_0123456789876543210)- (sB_0123456789876543210 :: Sing b_0123456789876543210))- = (applySing- ((applySing- ((applySing ((singFun3 @FoldlSym0) sFoldl))- ((singFun2 @ThenCmpSym0) sThenCmp)))- SEQ))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- SNil))))- sCompare- (SF (sA_0123456789876543210 :: Sing a_0123456789876543210)- (sA_0123456789876543210 :: Sing a_0123456789876543210)- (sA_0123456789876543210 :: Sing a_0123456789876543210)- (sA_0123456789876543210 :: Sing a_0123456789876543210))- (SF (sB_0123456789876543210 :: Sing b_0123456789876543210)- (sB_0123456789876543210 :: Sing b_0123456789876543210)- (sB_0123456789876543210 :: Sing b_0123456789876543210)- (sB_0123456789876543210 :: Sing b_0123456789876543210))- = (applySing- ((applySing- ((applySing ((singFun3 @FoldlSym0) sFoldl))- ((singFun2 @ThenCmpSym0) sThenCmp)))- SEQ))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- SNil))))- sCompare (SA _ _ _ _) (SB _ _ _ _) = SLT- sCompare (SA _ _ _ _) (SC _ _ _ _) = SLT- sCompare (SA _ _ _ _) (SD _ _ _ _) = SLT- sCompare (SA _ _ _ _) (SE _ _ _ _) = SLT- sCompare (SA _ _ _ _) (SF _ _ _ _) = SLT- sCompare (SB _ _ _ _) (SA _ _ _ _) = SGT- sCompare (SB _ _ _ _) (SC _ _ _ _) = SLT- sCompare (SB _ _ _ _) (SD _ _ _ _) = SLT- sCompare (SB _ _ _ _) (SE _ _ _ _) = SLT- sCompare (SB _ _ _ _) (SF _ _ _ _) = SLT- sCompare (SC _ _ _ _) (SA _ _ _ _) = SGT- sCompare (SC _ _ _ _) (SB _ _ _ _) = SGT- sCompare (SC _ _ _ _) (SD _ _ _ _) = SLT- sCompare (SC _ _ _ _) (SE _ _ _ _) = SLT- sCompare (SC _ _ _ _) (SF _ _ _ _) = SLT- sCompare (SD _ _ _ _) (SA _ _ _ _) = SGT- sCompare (SD _ _ _ _) (SB _ _ _ _) = SGT- sCompare (SD _ _ _ _) (SC _ _ _ _) = SGT- sCompare (SD _ _ _ _) (SE _ _ _ _) = SLT- sCompare (SD _ _ _ _) (SF _ _ _ _) = SLT- sCompare (SE _ _ _ _) (SA _ _ _ _) = SGT- sCompare (SE _ _ _ _) (SB _ _ _ _) = SGT- sCompare (SE _ _ _ _) (SC _ _ _ _) = SGT- sCompare (SE _ _ _ _) (SD _ _ _ _) = SGT- sCompare (SE _ _ _ _) (SF _ _ _ _) = SLT- sCompare (SF _ _ _ _) (SA _ _ _ _) = SGT- sCompare (SF _ _ _ _) (SB _ _ _ _) = SGT- sCompare (SF _ _ _ _) (SC _ _ _ _) = SGT- sCompare (SF _ _ _ _) (SD _ _ _ _) = SGT- sCompare (SF _ _ _ _) (SE _ _ _ _) = SGT- instance SEq Nat => SEq Nat where- (%==) SZero SZero = STrue- (%==) SZero (SSucc _) = SFalse- (%==) (SSucc _) SZero = SFalse- (%==) (SSucc a) (SSucc b) = ((%==) a) b- instance SDecide Nat => SDecide Nat where- (%~) SZero SZero = Proved Refl- (%~) SZero (SSucc _) = Disproved (\ x -> case x of)- (%~) (SSucc _) SZero = Disproved (\ x -> case x of)- (%~) (SSucc a) (SSucc b)- = case ((%~) a) b of- Proved Refl -> Proved Refl- Disproved contra- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- instance (SEq a, SEq b, SEq c, SEq d) => SEq (Foo a b c d) where- (%==) (SA a a a a) (SA b b b b)- = ((%&&) (((%==) a) b))- (((%&&) (((%==) a) b)) (((%&&) (((%==) a) b)) (((%==) a) b)))- (%==) (SA _ _ _ _) (SB _ _ _ _) = SFalse- (%==) (SA _ _ _ _) (SC _ _ _ _) = SFalse- (%==) (SA _ _ _ _) (SD _ _ _ _) = SFalse- (%==) (SA _ _ _ _) (SE _ _ _ _) = SFalse- (%==) (SA _ _ _ _) (SF _ _ _ _) = SFalse- (%==) (SB _ _ _ _) (SA _ _ _ _) = SFalse- (%==) (SB a a a a) (SB b b b b)- = ((%&&) (((%==) a) b))- (((%&&) (((%==) a) b)) (((%&&) (((%==) a) b)) (((%==) a) b)))- (%==) (SB _ _ _ _) (SC _ _ _ _) = SFalse- (%==) (SB _ _ _ _) (SD _ _ _ _) = SFalse- (%==) (SB _ _ _ _) (SE _ _ _ _) = SFalse- (%==) (SB _ _ _ _) (SF _ _ _ _) = SFalse- (%==) (SC _ _ _ _) (SA _ _ _ _) = SFalse- (%==) (SC _ _ _ _) (SB _ _ _ _) = SFalse- (%==) (SC a a a a) (SC b b b b)- = ((%&&) (((%==) a) b))- (((%&&) (((%==) a) b)) (((%&&) (((%==) a) b)) (((%==) a) b)))- (%==) (SC _ _ _ _) (SD _ _ _ _) = SFalse- (%==) (SC _ _ _ _) (SE _ _ _ _) = SFalse- (%==) (SC _ _ _ _) (SF _ _ _ _) = SFalse- (%==) (SD _ _ _ _) (SA _ _ _ _) = SFalse- (%==) (SD _ _ _ _) (SB _ _ _ _) = SFalse- (%==) (SD _ _ _ _) (SC _ _ _ _) = SFalse- (%==) (SD a a a a) (SD b b b b)- = ((%&&) (((%==) a) b))- (((%&&) (((%==) a) b)) (((%&&) (((%==) a) b)) (((%==) a) b)))- (%==) (SD _ _ _ _) (SE _ _ _ _) = SFalse- (%==) (SD _ _ _ _) (SF _ _ _ _) = SFalse- (%==) (SE _ _ _ _) (SA _ _ _ _) = SFalse- (%==) (SE _ _ _ _) (SB _ _ _ _) = SFalse- (%==) (SE _ _ _ _) (SC _ _ _ _) = SFalse- (%==) (SE _ _ _ _) (SD _ _ _ _) = SFalse- (%==) (SE a a a a) (SE b b b b)- = ((%&&) (((%==) a) b))- (((%&&) (((%==) a) b)) (((%&&) (((%==) a) b)) (((%==) a) b)))- (%==) (SE _ _ _ _) (SF _ _ _ _) = SFalse- (%==) (SF _ _ _ _) (SA _ _ _ _) = SFalse- (%==) (SF _ _ _ _) (SB _ _ _ _) = SFalse- (%==) (SF _ _ _ _) (SC _ _ _ _) = SFalse- (%==) (SF _ _ _ _) (SD _ _ _ _) = SFalse- (%==) (SF _ _ _ _) (SE _ _ _ _) = SFalse- (%==) (SF a a a a) (SF b b b b)- = ((%&&) (((%==) a) b))- (((%&&) (((%==) a) b)) (((%&&) (((%==) a) b)) (((%==) a) b)))- instance (SDecide a, SDecide b, SDecide c, SDecide d) =>- SDecide (Foo a b c d) where- (%~) (SA a a a a) (SA b b b b)- = case- (((GHC.Tuple.(,,,) (((%~) a) b)) (((%~) a) b)) (((%~) a) b))- (((%~) a) b)- of- GHC.Tuple.(,,,) (Proved Refl)- (Proved Refl)- (Proved Refl)- (Proved Refl)- -> Proved Refl- GHC.Tuple.(,,,) (Disproved contra) _ _ _- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- GHC.Tuple.(,,,) _ (Disproved contra) _ _- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- GHC.Tuple.(,,,) _ _ (Disproved contra) _- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- GHC.Tuple.(,,,) _ _ _ (Disproved contra)- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- (%~) (SA _ _ _ _) (SB _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SA _ _ _ _) (SC _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SA _ _ _ _) (SD _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SA _ _ _ _) (SE _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SA _ _ _ _) (SF _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SB _ _ _ _) (SA _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SB a a a a) (SB b b b b)- = case- (((GHC.Tuple.(,,,) (((%~) a) b)) (((%~) a) b)) (((%~) a) b))- (((%~) a) b)- of- GHC.Tuple.(,,,) (Proved Refl)- (Proved Refl)- (Proved Refl)- (Proved Refl)- -> Proved Refl- GHC.Tuple.(,,,) (Disproved contra) _ _ _- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- GHC.Tuple.(,,,) _ (Disproved contra) _ _- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- GHC.Tuple.(,,,) _ _ (Disproved contra) _- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- GHC.Tuple.(,,,) _ _ _ (Disproved contra)- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- (%~) (SB _ _ _ _) (SC _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SB _ _ _ _) (SD _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SB _ _ _ _) (SE _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SB _ _ _ _) (SF _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SC _ _ _ _) (SA _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SC _ _ _ _) (SB _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SC a a a a) (SC b b b b)- = case- (((GHC.Tuple.(,,,) (((%~) a) b)) (((%~) a) b)) (((%~) a) b))- (((%~) a) b)- of- GHC.Tuple.(,,,) (Proved Refl)- (Proved Refl)- (Proved Refl)- (Proved Refl)- -> Proved Refl- GHC.Tuple.(,,,) (Disproved contra) _ _ _- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- GHC.Tuple.(,,,) _ (Disproved contra) _ _- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- GHC.Tuple.(,,,) _ _ (Disproved contra) _- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- GHC.Tuple.(,,,) _ _ _ (Disproved contra)- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- (%~) (SC _ _ _ _) (SD _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SC _ _ _ _) (SE _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SC _ _ _ _) (SF _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SD _ _ _ _) (SA _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SD _ _ _ _) (SB _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SD _ _ _ _) (SC _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SD a a a a) (SD b b b b)- = case- (((GHC.Tuple.(,,,) (((%~) a) b)) (((%~) a) b)) (((%~) a) b))- (((%~) a) b)- of- GHC.Tuple.(,,,) (Proved Refl)- (Proved Refl)- (Proved Refl)- (Proved Refl)- -> Proved Refl- GHC.Tuple.(,,,) (Disproved contra) _ _ _- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- GHC.Tuple.(,,,) _ (Disproved contra) _ _- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- GHC.Tuple.(,,,) _ _ (Disproved contra) _- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- GHC.Tuple.(,,,) _ _ _ (Disproved contra)- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- (%~) (SD _ _ _ _) (SE _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SD _ _ _ _) (SF _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SE _ _ _ _) (SA _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SE _ _ _ _) (SB _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SE _ _ _ _) (SC _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SE _ _ _ _) (SD _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SE a a a a) (SE b b b b)- = case- (((GHC.Tuple.(,,,) (((%~) a) b)) (((%~) a) b)) (((%~) a) b))- (((%~) a) b)- of- GHC.Tuple.(,,,) (Proved Refl)- (Proved Refl)- (Proved Refl)- (Proved Refl)- -> Proved Refl- GHC.Tuple.(,,,) (Disproved contra) _ _ _- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- GHC.Tuple.(,,,) _ (Disproved contra) _ _- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- GHC.Tuple.(,,,) _ _ (Disproved contra) _- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- GHC.Tuple.(,,,) _ _ _ (Disproved contra)- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- (%~) (SE _ _ _ _) (SF _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SF _ _ _ _) (SA _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SF _ _ _ _) (SB _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SF _ _ _ _) (SC _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SF _ _ _ _) (SD _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SF _ _ _ _) (SE _ _ _ _) = Disproved (\ x -> case x of)- (%~) (SF a a a a) (SF b b b b)- = case- (((GHC.Tuple.(,,,) (((%~) a) b)) (((%~) a) b)) (((%~) a) b))- (((%~) a) b)- of- GHC.Tuple.(,,,) (Proved Refl)- (Proved Refl)- (Proved Refl)- (Proved Refl)- -> Proved Refl- GHC.Tuple.(,,,) (Disproved contra) _ _ _- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- GHC.Tuple.(,,,) _ (Disproved contra) _ _- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- GHC.Tuple.(,,,) _ _ (Disproved contra) _- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- GHC.Tuple.(,,,) _ _ _ (Disproved contra)- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- instance SingI Zero where- sing = SZero- instance SingI n => SingI (Succ (n :: Nat)) where- sing = SSucc sing- instance (SingI n, SingI n, SingI n, SingI n) =>- SingI (A (n :: a) (n :: b) (n :: c) (n :: d)) where- sing = (((SA sing) sing) sing) sing- instance (SingI n, SingI n, SingI n, SingI n) =>- SingI (B (n :: a) (n :: b) (n :: c) (n :: d)) where- sing = (((SB sing) sing) sing) sing- instance (SingI n, SingI n, SingI n, SingI n) =>- SingI (C (n :: a) (n :: b) (n :: c) (n :: d)) where- sing = (((SC sing) sing) sing) sing- instance (SingI n, SingI n, SingI n, SingI n) =>- SingI (D (n :: a) (n :: b) (n :: c) (n :: d)) where- sing = (((SD sing) sing) sing) sing- instance (SingI n, SingI n, SingI n, SingI n) =>- SingI (E (n :: a) (n :: b) (n :: c) (n :: d)) where- sing = (((SE sing) sing) sing) sing- instance (SingI n, SingI n, SingI n, SingI n) =>- SingI (F (n :: a) (n :: b) (n :: c) (n :: d)) where- sing = (((SF sing) sing) sing) sing
+ tests/compile-and-dump/Singletons/OrdDeriving.ghc86.template view
@@ -0,0 +1,1235 @@+Singletons/OrdDeriving.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| data Nat+ = Zero | Succ Nat+ deriving (Eq, Ord)+ data Foo a b c d+ = A a b c d |+ B a b c d |+ C a b c d |+ D a b c d |+ E a b c d |+ F a b c d+ deriving (Eq, Ord) |]+ ======>+ data Nat+ = Zero | Succ Nat+ deriving (Eq, Ord)+ data Foo a b c d+ = A a b c d |+ B a b c d |+ C a b c d |+ D a b c d |+ E a b c d |+ F a b c d+ deriving (Eq, Ord)+ type ZeroSym0 = Zero+ type SuccSym1 (t0123456789876543210 :: Nat) =+ Succ t0123456789876543210+ instance SuppressUnusedWarnings SuccSym0 where+ suppressUnusedWarnings = snd (((,) SuccSym0KindInference) ())+ data SuccSym0 :: (~>) Nat Nat+ where+ SuccSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply SuccSym0 arg) (SuccSym1 arg) =>+ SuccSym0 t0123456789876543210+ type instance Apply SuccSym0 t0123456789876543210 = Succ t0123456789876543210+ type ASym4 (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: b0123456789876543210) (t0123456789876543210 :: c0123456789876543210) (t0123456789876543210 :: d0123456789876543210) =+ A t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (ASym3 t0123456789876543210 t0123456789876543210 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) ASym3KindInference) ())+ data ASym3 (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: b0123456789876543210) (t0123456789876543210 :: c0123456789876543210) :: forall d0123456789876543210.+ (~>) d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)+ where+ ASym3KindInference :: forall t0123456789876543210+ t0123456789876543210+ t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (ASym3 t0123456789876543210 t0123456789876543210 t0123456789876543210) arg) (ASym4 t0123456789876543210 t0123456789876543210 t0123456789876543210 arg) =>+ ASym3 t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210+ type instance Apply (ASym3 t0123456789876543210 t0123456789876543210 t0123456789876543210) t0123456789876543210 = A t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (ASym2 t0123456789876543210 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) ASym2KindInference) ())+ data ASym2 (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: b0123456789876543210) :: forall c0123456789876543210+ d0123456789876543210.+ (~>) c0123456789876543210 ((~>) d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210))+ where+ ASym2KindInference :: forall t0123456789876543210+ t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (ASym2 t0123456789876543210 t0123456789876543210) arg) (ASym3 t0123456789876543210 t0123456789876543210 arg) =>+ ASym2 t0123456789876543210 t0123456789876543210 t0123456789876543210+ type instance Apply (ASym2 t0123456789876543210 t0123456789876543210) t0123456789876543210 = ASym3 t0123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (ASym1 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) ASym1KindInference) ())+ data ASym1 (t0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210+ c0123456789876543210+ d0123456789876543210.+ (~>) b0123456789876543210 ((~>) c0123456789876543210 ((~>) d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)))+ where+ ASym1KindInference :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (ASym1 t0123456789876543210) arg) (ASym2 t0123456789876543210 arg) =>+ ASym1 t0123456789876543210 t0123456789876543210+ type instance Apply (ASym1 t0123456789876543210) t0123456789876543210 = ASym2 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings ASym0 where+ suppressUnusedWarnings = snd (((,) ASym0KindInference) ())+ data ASym0 :: forall a0123456789876543210+ b0123456789876543210+ c0123456789876543210+ d0123456789876543210.+ (~>) a0123456789876543210 ((~>) b0123456789876543210 ((~>) c0123456789876543210 ((~>) d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210))))+ where+ ASym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply ASym0 arg) (ASym1 arg) =>+ ASym0 t0123456789876543210+ type instance Apply ASym0 t0123456789876543210 = ASym1 t0123456789876543210+ type BSym4 (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: b0123456789876543210) (t0123456789876543210 :: c0123456789876543210) (t0123456789876543210 :: d0123456789876543210) =+ B t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (BSym3 t0123456789876543210 t0123456789876543210 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) BSym3KindInference) ())+ data BSym3 (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: b0123456789876543210) (t0123456789876543210 :: c0123456789876543210) :: forall d0123456789876543210.+ (~>) d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)+ where+ BSym3KindInference :: forall t0123456789876543210+ t0123456789876543210+ t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (BSym3 t0123456789876543210 t0123456789876543210 t0123456789876543210) arg) (BSym4 t0123456789876543210 t0123456789876543210 t0123456789876543210 arg) =>+ BSym3 t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210+ type instance Apply (BSym3 t0123456789876543210 t0123456789876543210 t0123456789876543210) t0123456789876543210 = B t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (BSym2 t0123456789876543210 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) BSym2KindInference) ())+ data BSym2 (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: b0123456789876543210) :: forall c0123456789876543210+ d0123456789876543210.+ (~>) c0123456789876543210 ((~>) d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210))+ where+ BSym2KindInference :: forall t0123456789876543210+ t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (BSym2 t0123456789876543210 t0123456789876543210) arg) (BSym3 t0123456789876543210 t0123456789876543210 arg) =>+ BSym2 t0123456789876543210 t0123456789876543210 t0123456789876543210+ type instance Apply (BSym2 t0123456789876543210 t0123456789876543210) t0123456789876543210 = BSym3 t0123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (BSym1 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) BSym1KindInference) ())+ data BSym1 (t0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210+ c0123456789876543210+ d0123456789876543210.+ (~>) b0123456789876543210 ((~>) c0123456789876543210 ((~>) d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)))+ where+ BSym1KindInference :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (BSym1 t0123456789876543210) arg) (BSym2 t0123456789876543210 arg) =>+ BSym1 t0123456789876543210 t0123456789876543210+ type instance Apply (BSym1 t0123456789876543210) t0123456789876543210 = BSym2 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings BSym0 where+ suppressUnusedWarnings = snd (((,) BSym0KindInference) ())+ data BSym0 :: forall a0123456789876543210+ b0123456789876543210+ c0123456789876543210+ d0123456789876543210.+ (~>) a0123456789876543210 ((~>) b0123456789876543210 ((~>) c0123456789876543210 ((~>) d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210))))+ where+ BSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply BSym0 arg) (BSym1 arg) =>+ BSym0 t0123456789876543210+ type instance Apply BSym0 t0123456789876543210 = BSym1 t0123456789876543210+ type CSym4 (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: b0123456789876543210) (t0123456789876543210 :: c0123456789876543210) (t0123456789876543210 :: d0123456789876543210) =+ C t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (CSym3 t0123456789876543210 t0123456789876543210 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) CSym3KindInference) ())+ data CSym3 (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: b0123456789876543210) (t0123456789876543210 :: c0123456789876543210) :: forall d0123456789876543210.+ (~>) d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)+ where+ CSym3KindInference :: forall t0123456789876543210+ t0123456789876543210+ t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (CSym3 t0123456789876543210 t0123456789876543210 t0123456789876543210) arg) (CSym4 t0123456789876543210 t0123456789876543210 t0123456789876543210 arg) =>+ CSym3 t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210+ type instance Apply (CSym3 t0123456789876543210 t0123456789876543210 t0123456789876543210) t0123456789876543210 = C t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (CSym2 t0123456789876543210 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) CSym2KindInference) ())+ data CSym2 (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: b0123456789876543210) :: forall c0123456789876543210+ d0123456789876543210.+ (~>) c0123456789876543210 ((~>) d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210))+ where+ CSym2KindInference :: forall t0123456789876543210+ t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (CSym2 t0123456789876543210 t0123456789876543210) arg) (CSym3 t0123456789876543210 t0123456789876543210 arg) =>+ CSym2 t0123456789876543210 t0123456789876543210 t0123456789876543210+ type instance Apply (CSym2 t0123456789876543210 t0123456789876543210) t0123456789876543210 = CSym3 t0123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (CSym1 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) CSym1KindInference) ())+ data CSym1 (t0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210+ c0123456789876543210+ d0123456789876543210.+ (~>) b0123456789876543210 ((~>) c0123456789876543210 ((~>) d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)))+ where+ CSym1KindInference :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (CSym1 t0123456789876543210) arg) (CSym2 t0123456789876543210 arg) =>+ CSym1 t0123456789876543210 t0123456789876543210+ type instance Apply (CSym1 t0123456789876543210) t0123456789876543210 = CSym2 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings CSym0 where+ suppressUnusedWarnings = snd (((,) CSym0KindInference) ())+ data CSym0 :: forall a0123456789876543210+ b0123456789876543210+ c0123456789876543210+ d0123456789876543210.+ (~>) a0123456789876543210 ((~>) b0123456789876543210 ((~>) c0123456789876543210 ((~>) d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210))))+ where+ CSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply CSym0 arg) (CSym1 arg) =>+ CSym0 t0123456789876543210+ type instance Apply CSym0 t0123456789876543210 = CSym1 t0123456789876543210+ type DSym4 (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: b0123456789876543210) (t0123456789876543210 :: c0123456789876543210) (t0123456789876543210 :: d0123456789876543210) =+ D t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (DSym3 t0123456789876543210 t0123456789876543210 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) DSym3KindInference) ())+ data DSym3 (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: b0123456789876543210) (t0123456789876543210 :: c0123456789876543210) :: forall d0123456789876543210.+ (~>) d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)+ where+ DSym3KindInference :: forall t0123456789876543210+ t0123456789876543210+ t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (DSym3 t0123456789876543210 t0123456789876543210 t0123456789876543210) arg) (DSym4 t0123456789876543210 t0123456789876543210 t0123456789876543210 arg) =>+ DSym3 t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210+ type instance Apply (DSym3 t0123456789876543210 t0123456789876543210 t0123456789876543210) t0123456789876543210 = D t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (DSym2 t0123456789876543210 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) DSym2KindInference) ())+ data DSym2 (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: b0123456789876543210) :: forall c0123456789876543210+ d0123456789876543210.+ (~>) c0123456789876543210 ((~>) d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210))+ where+ DSym2KindInference :: forall t0123456789876543210+ t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (DSym2 t0123456789876543210 t0123456789876543210) arg) (DSym3 t0123456789876543210 t0123456789876543210 arg) =>+ DSym2 t0123456789876543210 t0123456789876543210 t0123456789876543210+ type instance Apply (DSym2 t0123456789876543210 t0123456789876543210) t0123456789876543210 = DSym3 t0123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (DSym1 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) DSym1KindInference) ())+ data DSym1 (t0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210+ c0123456789876543210+ d0123456789876543210.+ (~>) b0123456789876543210 ((~>) c0123456789876543210 ((~>) d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)))+ where+ DSym1KindInference :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (DSym1 t0123456789876543210) arg) (DSym2 t0123456789876543210 arg) =>+ DSym1 t0123456789876543210 t0123456789876543210+ type instance Apply (DSym1 t0123456789876543210) t0123456789876543210 = DSym2 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings DSym0 where+ suppressUnusedWarnings = snd (((,) DSym0KindInference) ())+ data DSym0 :: forall a0123456789876543210+ b0123456789876543210+ c0123456789876543210+ d0123456789876543210.+ (~>) a0123456789876543210 ((~>) b0123456789876543210 ((~>) c0123456789876543210 ((~>) d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210))))+ where+ DSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply DSym0 arg) (DSym1 arg) =>+ DSym0 t0123456789876543210+ type instance Apply DSym0 t0123456789876543210 = DSym1 t0123456789876543210+ type ESym4 (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: b0123456789876543210) (t0123456789876543210 :: c0123456789876543210) (t0123456789876543210 :: d0123456789876543210) =+ E t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (ESym3 t0123456789876543210 t0123456789876543210 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) ESym3KindInference) ())+ data ESym3 (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: b0123456789876543210) (t0123456789876543210 :: c0123456789876543210) :: forall d0123456789876543210.+ (~>) d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)+ where+ ESym3KindInference :: forall t0123456789876543210+ t0123456789876543210+ t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (ESym3 t0123456789876543210 t0123456789876543210 t0123456789876543210) arg) (ESym4 t0123456789876543210 t0123456789876543210 t0123456789876543210 arg) =>+ ESym3 t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210+ type instance Apply (ESym3 t0123456789876543210 t0123456789876543210 t0123456789876543210) t0123456789876543210 = E t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (ESym2 t0123456789876543210 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) ESym2KindInference) ())+ data ESym2 (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: b0123456789876543210) :: forall c0123456789876543210+ d0123456789876543210.+ (~>) c0123456789876543210 ((~>) d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210))+ where+ ESym2KindInference :: forall t0123456789876543210+ t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (ESym2 t0123456789876543210 t0123456789876543210) arg) (ESym3 t0123456789876543210 t0123456789876543210 arg) =>+ ESym2 t0123456789876543210 t0123456789876543210 t0123456789876543210+ type instance Apply (ESym2 t0123456789876543210 t0123456789876543210) t0123456789876543210 = ESym3 t0123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (ESym1 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) ESym1KindInference) ())+ data ESym1 (t0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210+ c0123456789876543210+ d0123456789876543210.+ (~>) b0123456789876543210 ((~>) c0123456789876543210 ((~>) d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)))+ where+ ESym1KindInference :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (ESym1 t0123456789876543210) arg) (ESym2 t0123456789876543210 arg) =>+ ESym1 t0123456789876543210 t0123456789876543210+ type instance Apply (ESym1 t0123456789876543210) t0123456789876543210 = ESym2 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings ESym0 where+ suppressUnusedWarnings = snd (((,) ESym0KindInference) ())+ data ESym0 :: forall a0123456789876543210+ b0123456789876543210+ c0123456789876543210+ d0123456789876543210.+ (~>) a0123456789876543210 ((~>) b0123456789876543210 ((~>) c0123456789876543210 ((~>) d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210))))+ where+ ESym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply ESym0 arg) (ESym1 arg) =>+ ESym0 t0123456789876543210+ type instance Apply ESym0 t0123456789876543210 = ESym1 t0123456789876543210+ type FSym4 (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: b0123456789876543210) (t0123456789876543210 :: c0123456789876543210) (t0123456789876543210 :: d0123456789876543210) =+ F t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (FSym3 t0123456789876543210 t0123456789876543210 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) FSym3KindInference) ())+ data FSym3 (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: b0123456789876543210) (t0123456789876543210 :: c0123456789876543210) :: forall d0123456789876543210.+ (~>) d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)+ where+ FSym3KindInference :: forall t0123456789876543210+ t0123456789876543210+ t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (FSym3 t0123456789876543210 t0123456789876543210 t0123456789876543210) arg) (FSym4 t0123456789876543210 t0123456789876543210 t0123456789876543210 arg) =>+ FSym3 t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210+ type instance Apply (FSym3 t0123456789876543210 t0123456789876543210 t0123456789876543210) t0123456789876543210 = F t0123456789876543210 t0123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (FSym2 t0123456789876543210 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) FSym2KindInference) ())+ data FSym2 (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: b0123456789876543210) :: forall c0123456789876543210+ d0123456789876543210.+ (~>) c0123456789876543210 ((~>) d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210))+ where+ FSym2KindInference :: forall t0123456789876543210+ t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (FSym2 t0123456789876543210 t0123456789876543210) arg) (FSym3 t0123456789876543210 t0123456789876543210 arg) =>+ FSym2 t0123456789876543210 t0123456789876543210 t0123456789876543210+ type instance Apply (FSym2 t0123456789876543210 t0123456789876543210) t0123456789876543210 = FSym3 t0123456789876543210 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (FSym1 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) FSym1KindInference) ())+ data FSym1 (t0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210+ c0123456789876543210+ d0123456789876543210.+ (~>) b0123456789876543210 ((~>) c0123456789876543210 ((~>) d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210)))+ where+ FSym1KindInference :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (FSym1 t0123456789876543210) arg) (FSym2 t0123456789876543210 arg) =>+ FSym1 t0123456789876543210 t0123456789876543210+ type instance Apply (FSym1 t0123456789876543210) t0123456789876543210 = FSym2 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings FSym0 where+ suppressUnusedWarnings = snd (((,) FSym0KindInference) ())+ data FSym0 :: forall a0123456789876543210+ b0123456789876543210+ c0123456789876543210+ d0123456789876543210.+ (~>) a0123456789876543210 ((~>) b0123456789876543210 ((~>) c0123456789876543210 ((~>) d0123456789876543210 (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210))))+ where+ FSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply FSym0 arg) (FSym1 arg) =>+ FSym0 t0123456789876543210+ type instance Apply FSym0 t0123456789876543210 = FSym1 t0123456789876543210+ type family Compare_0123456789876543210 (a :: Nat) (a :: Nat) :: Ordering where+ Compare_0123456789876543210 Zero Zero = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) '[]+ Compare_0123456789876543210 (Succ a_0123456789876543210) (Succ b_0123456789876543210) = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) '[])+ Compare_0123456789876543210 Zero (Succ _) = LTSym0+ Compare_0123456789876543210 (Succ _) Zero = GTSym0+ type Compare_0123456789876543210Sym2 (a0123456789876543210 :: Nat) (a0123456789876543210 :: Nat) =+ Compare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Compare_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Compare_0123456789876543210Sym1KindInference) ())+ data Compare_0123456789876543210Sym1 (a0123456789876543210 :: Nat) :: (~>) Nat Ordering+ where+ Compare_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Compare_0123456789876543210Sym1 a0123456789876543210) arg) (Compare_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Compare_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Compare_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = Compare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Compare_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Compare_0123456789876543210Sym0KindInference) ())+ data Compare_0123456789876543210Sym0 :: (~>) Nat ((~>) Nat Ordering)+ where+ Compare_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Compare_0123456789876543210Sym0 arg) (Compare_0123456789876543210Sym1 arg) =>+ Compare_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Compare_0123456789876543210Sym0 a0123456789876543210 = Compare_0123456789876543210Sym1 a0123456789876543210+ instance POrd Nat where+ type Compare a a = Apply (Apply Compare_0123456789876543210Sym0 a) a+ type family Compare_0123456789876543210 (a :: Foo a b c d) (a :: Foo a b c d) :: Ordering where+ Compare_0123456789876543210 (A a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210) (A b_0123456789876543210 b_0123456789876543210 b_0123456789876543210 b_0123456789876543210) = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) '[]))))+ Compare_0123456789876543210 (B a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210) (B b_0123456789876543210 b_0123456789876543210 b_0123456789876543210 b_0123456789876543210) = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) '[]))))+ Compare_0123456789876543210 (C a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210) (C b_0123456789876543210 b_0123456789876543210 b_0123456789876543210 b_0123456789876543210) = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) '[]))))+ Compare_0123456789876543210 (D a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210) (D b_0123456789876543210 b_0123456789876543210 b_0123456789876543210 b_0123456789876543210) = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) '[]))))+ Compare_0123456789876543210 (E a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210) (E b_0123456789876543210 b_0123456789876543210 b_0123456789876543210 b_0123456789876543210) = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) '[]))))+ Compare_0123456789876543210 (F a_0123456789876543210 a_0123456789876543210 a_0123456789876543210 a_0123456789876543210) (F b_0123456789876543210 b_0123456789876543210 b_0123456789876543210 b_0123456789876543210) = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) '[]))))+ Compare_0123456789876543210 (A _ _ _ _) (B _ _ _ _) = LTSym0+ Compare_0123456789876543210 (A _ _ _ _) (C _ _ _ _) = LTSym0+ Compare_0123456789876543210 (A _ _ _ _) (D _ _ _ _) = LTSym0+ Compare_0123456789876543210 (A _ _ _ _) (E _ _ _ _) = LTSym0+ Compare_0123456789876543210 (A _ _ _ _) (F _ _ _ _) = LTSym0+ Compare_0123456789876543210 (B _ _ _ _) (A _ _ _ _) = GTSym0+ Compare_0123456789876543210 (B _ _ _ _) (C _ _ _ _) = LTSym0+ Compare_0123456789876543210 (B _ _ _ _) (D _ _ _ _) = LTSym0+ Compare_0123456789876543210 (B _ _ _ _) (E _ _ _ _) = LTSym0+ Compare_0123456789876543210 (B _ _ _ _) (F _ _ _ _) = LTSym0+ Compare_0123456789876543210 (C _ _ _ _) (A _ _ _ _) = GTSym0+ Compare_0123456789876543210 (C _ _ _ _) (B _ _ _ _) = GTSym0+ Compare_0123456789876543210 (C _ _ _ _) (D _ _ _ _) = LTSym0+ Compare_0123456789876543210 (C _ _ _ _) (E _ _ _ _) = LTSym0+ Compare_0123456789876543210 (C _ _ _ _) (F _ _ _ _) = LTSym0+ Compare_0123456789876543210 (D _ _ _ _) (A _ _ _ _) = GTSym0+ Compare_0123456789876543210 (D _ _ _ _) (B _ _ _ _) = GTSym0+ Compare_0123456789876543210 (D _ _ _ _) (C _ _ _ _) = GTSym0+ Compare_0123456789876543210 (D _ _ _ _) (E _ _ _ _) = LTSym0+ Compare_0123456789876543210 (D _ _ _ _) (F _ _ _ _) = LTSym0+ Compare_0123456789876543210 (E _ _ _ _) (A _ _ _ _) = GTSym0+ Compare_0123456789876543210 (E _ _ _ _) (B _ _ _ _) = GTSym0+ Compare_0123456789876543210 (E _ _ _ _) (C _ _ _ _) = GTSym0+ Compare_0123456789876543210 (E _ _ _ _) (D _ _ _ _) = GTSym0+ Compare_0123456789876543210 (E _ _ _ _) (F _ _ _ _) = LTSym0+ Compare_0123456789876543210 (F _ _ _ _) (A _ _ _ _) = GTSym0+ Compare_0123456789876543210 (F _ _ _ _) (B _ _ _ _) = GTSym0+ Compare_0123456789876543210 (F _ _ _ _) (C _ _ _ _) = GTSym0+ Compare_0123456789876543210 (F _ _ _ _) (D _ _ _ _) = GTSym0+ Compare_0123456789876543210 (F _ _ _ _) (E _ _ _ _) = GTSym0+ type Compare_0123456789876543210Sym2 (a0123456789876543210 :: Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210) (a0123456789876543210 :: Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210) =+ Compare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Compare_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Compare_0123456789876543210Sym1KindInference) ())+ data Compare_0123456789876543210Sym1 (a0123456789876543210 :: Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210) :: (~>) (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210) Ordering+ where+ Compare_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Compare_0123456789876543210Sym1 a0123456789876543210) arg) (Compare_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Compare_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Compare_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = Compare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Compare_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Compare_0123456789876543210Sym0KindInference) ())+ data Compare_0123456789876543210Sym0 :: forall a0123456789876543210+ b0123456789876543210+ c0123456789876543210+ d0123456789876543210.+ (~>) (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210) ((~>) (Foo a0123456789876543210 b0123456789876543210 c0123456789876543210 d0123456789876543210) Ordering)+ where+ Compare_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Compare_0123456789876543210Sym0 arg) (Compare_0123456789876543210Sym1 arg) =>+ Compare_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Compare_0123456789876543210Sym0 a0123456789876543210 = Compare_0123456789876543210Sym1 a0123456789876543210+ instance POrd (Foo a b c d) where+ type Compare a a = Apply (Apply Compare_0123456789876543210Sym0 a) a+ type family Equals_0123456789876543210 (a :: Nat) (b :: Nat) :: Bool where+ Equals_0123456789876543210 Zero Zero = TrueSym0+ Equals_0123456789876543210 (Succ a) (Succ b) = (==) a b+ Equals_0123456789876543210 (_ :: Nat) (_ :: Nat) = FalseSym0+ instance PEq Nat where+ type (==) a b = Equals_0123456789876543210 a b+ type family Equals_0123456789876543210 (a :: Foo a b c d) (b :: Foo a b c d) :: Bool where+ Equals_0123456789876543210 (A a a a a) (A b b b b) = (&&) ((==) a b) ((&&) ((==) a b) ((&&) ((==) a b) ((==) a b)))+ Equals_0123456789876543210 (B a a a a) (B b b b b) = (&&) ((==) a b) ((&&) ((==) a b) ((&&) ((==) a b) ((==) a b)))+ Equals_0123456789876543210 (C a a a a) (C b b b b) = (&&) ((==) a b) ((&&) ((==) a b) ((&&) ((==) a b) ((==) a b)))+ Equals_0123456789876543210 (D a a a a) (D b b b b) = (&&) ((==) a b) ((&&) ((==) a b) ((&&) ((==) a b) ((==) a b)))+ Equals_0123456789876543210 (E a a a a) (E b b b b) = (&&) ((==) a b) ((&&) ((==) a b) ((&&) ((==) a b) ((==) a b)))+ Equals_0123456789876543210 (F a a a a) (F b b b b) = (&&) ((==) a b) ((&&) ((==) a b) ((&&) ((==) a b) ((==) a b)))+ Equals_0123456789876543210 (_ :: Foo a b c d) (_ :: Foo a b c d) = FalseSym0+ instance PEq (Foo a b c d) where+ type (==) a b = Equals_0123456789876543210 a b+ data instance Sing :: Nat -> GHC.Types.Type+ where+ SZero :: Sing Zero+ SSucc :: forall (n :: Nat). (Sing (n :: Nat)) -> Sing (Succ n)+ type SNat = (Sing :: Nat -> GHC.Types.Type)+ instance SingKind Nat where+ type Demote Nat = Nat+ fromSing SZero = Zero+ fromSing (SSucc b) = Succ (fromSing b)+ toSing Zero = SomeSing SZero+ toSing (Succ (b :: Demote Nat))+ = case toSing b :: SomeSing Nat of {+ SomeSing c -> SomeSing (SSucc c) }+ data instance Sing :: Foo a b c d -> GHC.Types.Type+ where+ SA :: forall a b c d (n :: a) (n :: b) (n :: c) (n :: d).+ (Sing (n :: a))+ -> (Sing (n :: b))+ -> (Sing (n :: c)) -> (Sing (n :: d)) -> Sing (A n n n n)+ SB :: forall a b c d (n :: a) (n :: b) (n :: c) (n :: d).+ (Sing (n :: a))+ -> (Sing (n :: b))+ -> (Sing (n :: c)) -> (Sing (n :: d)) -> Sing (B n n n n)+ SC :: forall a b c d (n :: a) (n :: b) (n :: c) (n :: d).+ (Sing (n :: a))+ -> (Sing (n :: b))+ -> (Sing (n :: c)) -> (Sing (n :: d)) -> Sing (C n n n n)+ SD :: forall a b c d (n :: a) (n :: b) (n :: c) (n :: d).+ (Sing (n :: a))+ -> (Sing (n :: b))+ -> (Sing (n :: c)) -> (Sing (n :: d)) -> Sing (D n n n n)+ SE :: forall a b c d (n :: a) (n :: b) (n :: c) (n :: d).+ (Sing (n :: a))+ -> (Sing (n :: b))+ -> (Sing (n :: c)) -> (Sing (n :: d)) -> Sing (E n n n n)+ SF :: forall a b c d (n :: a) (n :: b) (n :: c) (n :: d).+ (Sing (n :: a))+ -> (Sing (n :: b))+ -> (Sing (n :: c)) -> (Sing (n :: d)) -> Sing (F n n n n)+ type SFoo = (Sing :: Foo a b c d -> GHC.Types.Type)+ instance (SingKind a, SingKind b, SingKind c, SingKind d) =>+ SingKind (Foo a b c d) where+ type Demote (Foo a b c d) = Foo (Demote a) (Demote b) (Demote c) (Demote d)+ fromSing (SA b b b b)+ = (((A (fromSing b)) (fromSing b)) (fromSing b)) (fromSing b)+ fromSing (SB b b b b)+ = (((B (fromSing b)) (fromSing b)) (fromSing b)) (fromSing b)+ fromSing (SC b b b b)+ = (((C (fromSing b)) (fromSing b)) (fromSing b)) (fromSing b)+ fromSing (SD b b b b)+ = (((D (fromSing b)) (fromSing b)) (fromSing b)) (fromSing b)+ fromSing (SE b b b b)+ = (((E (fromSing b)) (fromSing b)) (fromSing b)) (fromSing b)+ fromSing (SF b b b b)+ = (((F (fromSing b)) (fromSing b)) (fromSing b)) (fromSing b)+ toSing+ (A (b :: Demote a) (b :: Demote b) (b :: Demote c) (b :: Demote d))+ = case+ ((((,,,) (toSing b :: SomeSing a)) (toSing b :: SomeSing b))+ (toSing b :: SomeSing c))+ (toSing b :: SomeSing d)+ of {+ (,,,) (SomeSing c) (SomeSing c) (SomeSing c) (SomeSing c)+ -> SomeSing ((((SA c) c) c) c) }+ toSing+ (B (b :: Demote a) (b :: Demote b) (b :: Demote c) (b :: Demote d))+ = case+ ((((,,,) (toSing b :: SomeSing a)) (toSing b :: SomeSing b))+ (toSing b :: SomeSing c))+ (toSing b :: SomeSing d)+ of {+ (,,,) (SomeSing c) (SomeSing c) (SomeSing c) (SomeSing c)+ -> SomeSing ((((SB c) c) c) c) }+ toSing+ (C (b :: Demote a) (b :: Demote b) (b :: Demote c) (b :: Demote d))+ = case+ ((((,,,) (toSing b :: SomeSing a)) (toSing b :: SomeSing b))+ (toSing b :: SomeSing c))+ (toSing b :: SomeSing d)+ of {+ (,,,) (SomeSing c) (SomeSing c) (SomeSing c) (SomeSing c)+ -> SomeSing ((((SC c) c) c) c) }+ toSing+ (D (b :: Demote a) (b :: Demote b) (b :: Demote c) (b :: Demote d))+ = case+ ((((,,,) (toSing b :: SomeSing a)) (toSing b :: SomeSing b))+ (toSing b :: SomeSing c))+ (toSing b :: SomeSing d)+ of {+ (,,,) (SomeSing c) (SomeSing c) (SomeSing c) (SomeSing c)+ -> SomeSing ((((SD c) c) c) c) }+ toSing+ (E (b :: Demote a) (b :: Demote b) (b :: Demote c) (b :: Demote d))+ = case+ ((((,,,) (toSing b :: SomeSing a)) (toSing b :: SomeSing b))+ (toSing b :: SomeSing c))+ (toSing b :: SomeSing d)+ of {+ (,,,) (SomeSing c) (SomeSing c) (SomeSing c) (SomeSing c)+ -> SomeSing ((((SE c) c) c) c) }+ toSing+ (F (b :: Demote a) (b :: Demote b) (b :: Demote c) (b :: Demote d))+ = case+ ((((,,,) (toSing b :: SomeSing a)) (toSing b :: SomeSing b))+ (toSing b :: SomeSing c))+ (toSing b :: SomeSing d)+ of {+ (,,,) (SomeSing c) (SomeSing c) (SomeSing c) (SomeSing c)+ -> SomeSing ((((SF c) c) c) c) }+ instance SOrd Nat => SOrd Nat where+ sCompare ::+ forall (t1 :: Nat) (t2 :: Nat).+ Sing t1+ -> Sing t2+ -> Sing (Apply (Apply (CompareSym0 :: TyFun Nat ((~>) Nat Ordering)+ -> GHC.Types.Type) t1) t2)+ sCompare SZero SZero+ = (applySing+ ((applySing+ ((applySing ((singFun3 @FoldlSym0) sFoldl))+ ((singFun2 @ThenCmpSym0) sThenCmp)))+ SEQ))+ SNil+ sCompare+ (SSucc (sA_0123456789876543210 :: Sing a_0123456789876543210))+ (SSucc (sB_0123456789876543210 :: Sing b_0123456789876543210))+ = (applySing+ ((applySing+ ((applySing ((singFun3 @FoldlSym0) sFoldl))+ ((singFun2 @ThenCmpSym0) sThenCmp)))+ SEQ))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ SNil)+ sCompare SZero (SSucc _) = SLT+ sCompare (SSucc _) SZero = SGT+ instance (SOrd a, SOrd b, SOrd c, SOrd d) =>+ SOrd (Foo a b c d) where+ sCompare ::+ forall (t1 :: Foo a b c d) (t2 :: Foo a b c d).+ Sing t1+ -> Sing t2+ -> Sing (Apply (Apply (CompareSym0 :: TyFun (Foo a b c d) ((~>) (Foo a b c d) Ordering)+ -> GHC.Types.Type) t1) t2)+ sCompare+ (SA (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210))+ (SA (sB_0123456789876543210 :: Sing b_0123456789876543210)+ (sB_0123456789876543210 :: Sing b_0123456789876543210)+ (sB_0123456789876543210 :: Sing b_0123456789876543210)+ (sB_0123456789876543210 :: Sing b_0123456789876543210))+ = (applySing+ ((applySing+ ((applySing ((singFun3 @FoldlSym0) sFoldl))+ ((singFun2 @ThenCmpSym0) sThenCmp)))+ SEQ))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ SNil))))+ sCompare+ (SB (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210))+ (SB (sB_0123456789876543210 :: Sing b_0123456789876543210)+ (sB_0123456789876543210 :: Sing b_0123456789876543210)+ (sB_0123456789876543210 :: Sing b_0123456789876543210)+ (sB_0123456789876543210 :: Sing b_0123456789876543210))+ = (applySing+ ((applySing+ ((applySing ((singFun3 @FoldlSym0) sFoldl))+ ((singFun2 @ThenCmpSym0) sThenCmp)))+ SEQ))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ SNil))))+ sCompare+ (SC (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210))+ (SC (sB_0123456789876543210 :: Sing b_0123456789876543210)+ (sB_0123456789876543210 :: Sing b_0123456789876543210)+ (sB_0123456789876543210 :: Sing b_0123456789876543210)+ (sB_0123456789876543210 :: Sing b_0123456789876543210))+ = (applySing+ ((applySing+ ((applySing ((singFun3 @FoldlSym0) sFoldl))+ ((singFun2 @ThenCmpSym0) sThenCmp)))+ SEQ))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ SNil))))+ sCompare+ (SD (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210))+ (SD (sB_0123456789876543210 :: Sing b_0123456789876543210)+ (sB_0123456789876543210 :: Sing b_0123456789876543210)+ (sB_0123456789876543210 :: Sing b_0123456789876543210)+ (sB_0123456789876543210 :: Sing b_0123456789876543210))+ = (applySing+ ((applySing+ ((applySing ((singFun3 @FoldlSym0) sFoldl))+ ((singFun2 @ThenCmpSym0) sThenCmp)))+ SEQ))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ SNil))))+ sCompare+ (SE (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210))+ (SE (sB_0123456789876543210 :: Sing b_0123456789876543210)+ (sB_0123456789876543210 :: Sing b_0123456789876543210)+ (sB_0123456789876543210 :: Sing b_0123456789876543210)+ (sB_0123456789876543210 :: Sing b_0123456789876543210))+ = (applySing+ ((applySing+ ((applySing ((singFun3 @FoldlSym0) sFoldl))+ ((singFun2 @ThenCmpSym0) sThenCmp)))+ SEQ))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ SNil))))+ sCompare+ (SF (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210))+ (SF (sB_0123456789876543210 :: Sing b_0123456789876543210)+ (sB_0123456789876543210 :: Sing b_0123456789876543210)+ (sB_0123456789876543210 :: Sing b_0123456789876543210)+ (sB_0123456789876543210 :: Sing b_0123456789876543210))+ = (applySing+ ((applySing+ ((applySing ((singFun3 @FoldlSym0) sFoldl))+ ((singFun2 @ThenCmpSym0) sThenCmp)))+ SEQ))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ SNil))))+ sCompare (SA _ _ _ _) (SB _ _ _ _) = SLT+ sCompare (SA _ _ _ _) (SC _ _ _ _) = SLT+ sCompare (SA _ _ _ _) (SD _ _ _ _) = SLT+ sCompare (SA _ _ _ _) (SE _ _ _ _) = SLT+ sCompare (SA _ _ _ _) (SF _ _ _ _) = SLT+ sCompare (SB _ _ _ _) (SA _ _ _ _) = SGT+ sCompare (SB _ _ _ _) (SC _ _ _ _) = SLT+ sCompare (SB _ _ _ _) (SD _ _ _ _) = SLT+ sCompare (SB _ _ _ _) (SE _ _ _ _) = SLT+ sCompare (SB _ _ _ _) (SF _ _ _ _) = SLT+ sCompare (SC _ _ _ _) (SA _ _ _ _) = SGT+ sCompare (SC _ _ _ _) (SB _ _ _ _) = SGT+ sCompare (SC _ _ _ _) (SD _ _ _ _) = SLT+ sCompare (SC _ _ _ _) (SE _ _ _ _) = SLT+ sCompare (SC _ _ _ _) (SF _ _ _ _) = SLT+ sCompare (SD _ _ _ _) (SA _ _ _ _) = SGT+ sCompare (SD _ _ _ _) (SB _ _ _ _) = SGT+ sCompare (SD _ _ _ _) (SC _ _ _ _) = SGT+ sCompare (SD _ _ _ _) (SE _ _ _ _) = SLT+ sCompare (SD _ _ _ _) (SF _ _ _ _) = SLT+ sCompare (SE _ _ _ _) (SA _ _ _ _) = SGT+ sCompare (SE _ _ _ _) (SB _ _ _ _) = SGT+ sCompare (SE _ _ _ _) (SC _ _ _ _) = SGT+ sCompare (SE _ _ _ _) (SD _ _ _ _) = SGT+ sCompare (SE _ _ _ _) (SF _ _ _ _) = SLT+ sCompare (SF _ _ _ _) (SA _ _ _ _) = SGT+ sCompare (SF _ _ _ _) (SB _ _ _ _) = SGT+ sCompare (SF _ _ _ _) (SC _ _ _ _) = SGT+ sCompare (SF _ _ _ _) (SD _ _ _ _) = SGT+ sCompare (SF _ _ _ _) (SE _ _ _ _) = SGT+ instance SEq Nat => SEq Nat where+ (%==) SZero SZero = STrue+ (%==) SZero (SSucc _) = SFalse+ (%==) (SSucc _) SZero = SFalse+ (%==) (SSucc a) (SSucc b) = ((%==) a) b+ instance SDecide Nat => SDecide Nat where+ (%~) SZero SZero = Proved Refl+ (%~) SZero (SSucc _) = Disproved (\ x -> case x of)+ (%~) (SSucc _) SZero = Disproved (\ x -> case x of)+ (%~) (SSucc a) (SSucc b)+ = case ((%~) a) b of+ Proved Refl -> Proved Refl+ Disproved contra+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ instance (SEq a, SEq b, SEq c, SEq d) => SEq (Foo a b c d) where+ (%==) (SA a a a a) (SA b b b b)+ = ((%&&) (((%==) a) b))+ (((%&&) (((%==) a) b)) (((%&&) (((%==) a) b)) (((%==) a) b)))+ (%==) (SA _ _ _ _) (SB _ _ _ _) = SFalse+ (%==) (SA _ _ _ _) (SC _ _ _ _) = SFalse+ (%==) (SA _ _ _ _) (SD _ _ _ _) = SFalse+ (%==) (SA _ _ _ _) (SE _ _ _ _) = SFalse+ (%==) (SA _ _ _ _) (SF _ _ _ _) = SFalse+ (%==) (SB _ _ _ _) (SA _ _ _ _) = SFalse+ (%==) (SB a a a a) (SB b b b b)+ = ((%&&) (((%==) a) b))+ (((%&&) (((%==) a) b)) (((%&&) (((%==) a) b)) (((%==) a) b)))+ (%==) (SB _ _ _ _) (SC _ _ _ _) = SFalse+ (%==) (SB _ _ _ _) (SD _ _ _ _) = SFalse+ (%==) (SB _ _ _ _) (SE _ _ _ _) = SFalse+ (%==) (SB _ _ _ _) (SF _ _ _ _) = SFalse+ (%==) (SC _ _ _ _) (SA _ _ _ _) = SFalse+ (%==) (SC _ _ _ _) (SB _ _ _ _) = SFalse+ (%==) (SC a a a a) (SC b b b b)+ = ((%&&) (((%==) a) b))+ (((%&&) (((%==) a) b)) (((%&&) (((%==) a) b)) (((%==) a) b)))+ (%==) (SC _ _ _ _) (SD _ _ _ _) = SFalse+ (%==) (SC _ _ _ _) (SE _ _ _ _) = SFalse+ (%==) (SC _ _ _ _) (SF _ _ _ _) = SFalse+ (%==) (SD _ _ _ _) (SA _ _ _ _) = SFalse+ (%==) (SD _ _ _ _) (SB _ _ _ _) = SFalse+ (%==) (SD _ _ _ _) (SC _ _ _ _) = SFalse+ (%==) (SD a a a a) (SD b b b b)+ = ((%&&) (((%==) a) b))+ (((%&&) (((%==) a) b)) (((%&&) (((%==) a) b)) (((%==) a) b)))+ (%==) (SD _ _ _ _) (SE _ _ _ _) = SFalse+ (%==) (SD _ _ _ _) (SF _ _ _ _) = SFalse+ (%==) (SE _ _ _ _) (SA _ _ _ _) = SFalse+ (%==) (SE _ _ _ _) (SB _ _ _ _) = SFalse+ (%==) (SE _ _ _ _) (SC _ _ _ _) = SFalse+ (%==) (SE _ _ _ _) (SD _ _ _ _) = SFalse+ (%==) (SE a a a a) (SE b b b b)+ = ((%&&) (((%==) a) b))+ (((%&&) (((%==) a) b)) (((%&&) (((%==) a) b)) (((%==) a) b)))+ (%==) (SE _ _ _ _) (SF _ _ _ _) = SFalse+ (%==) (SF _ _ _ _) (SA _ _ _ _) = SFalse+ (%==) (SF _ _ _ _) (SB _ _ _ _) = SFalse+ (%==) (SF _ _ _ _) (SC _ _ _ _) = SFalse+ (%==) (SF _ _ _ _) (SD _ _ _ _) = SFalse+ (%==) (SF _ _ _ _) (SE _ _ _ _) = SFalse+ (%==) (SF a a a a) (SF b b b b)+ = ((%&&) (((%==) a) b))+ (((%&&) (((%==) a) b)) (((%&&) (((%==) a) b)) (((%==) a) b)))+ instance (SDecide a, SDecide b, SDecide c, SDecide d) =>+ SDecide (Foo a b c d) where+ (%~) (SA a a a a) (SA b b b b)+ = case+ ((((,,,) (((%~) a) b)) (((%~) a) b)) (((%~) a) b)) (((%~) a) b)+ of+ (,,,) (Proved Refl) (Proved Refl) (Proved Refl) (Proved Refl)+ -> Proved Refl+ (,,,) (Disproved contra) _ _ _+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ (,,,) _ (Disproved contra) _ _+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ (,,,) _ _ (Disproved contra) _+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ (,,,) _ _ _ (Disproved contra)+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ (%~) (SA _ _ _ _) (SB _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SA _ _ _ _) (SC _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SA _ _ _ _) (SD _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SA _ _ _ _) (SE _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SA _ _ _ _) (SF _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SB _ _ _ _) (SA _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SB a a a a) (SB b b b b)+ = case+ ((((,,,) (((%~) a) b)) (((%~) a) b)) (((%~) a) b)) (((%~) a) b)+ of+ (,,,) (Proved Refl) (Proved Refl) (Proved Refl) (Proved Refl)+ -> Proved Refl+ (,,,) (Disproved contra) _ _ _+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ (,,,) _ (Disproved contra) _ _+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ (,,,) _ _ (Disproved contra) _+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ (,,,) _ _ _ (Disproved contra)+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ (%~) (SB _ _ _ _) (SC _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SB _ _ _ _) (SD _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SB _ _ _ _) (SE _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SB _ _ _ _) (SF _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SC _ _ _ _) (SA _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SC _ _ _ _) (SB _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SC a a a a) (SC b b b b)+ = case+ ((((,,,) (((%~) a) b)) (((%~) a) b)) (((%~) a) b)) (((%~) a) b)+ of+ (,,,) (Proved Refl) (Proved Refl) (Proved Refl) (Proved Refl)+ -> Proved Refl+ (,,,) (Disproved contra) _ _ _+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ (,,,) _ (Disproved contra) _ _+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ (,,,) _ _ (Disproved contra) _+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ (,,,) _ _ _ (Disproved contra)+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ (%~) (SC _ _ _ _) (SD _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SC _ _ _ _) (SE _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SC _ _ _ _) (SF _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SD _ _ _ _) (SA _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SD _ _ _ _) (SB _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SD _ _ _ _) (SC _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SD a a a a) (SD b b b b)+ = case+ ((((,,,) (((%~) a) b)) (((%~) a) b)) (((%~) a) b)) (((%~) a) b)+ of+ (,,,) (Proved Refl) (Proved Refl) (Proved Refl) (Proved Refl)+ -> Proved Refl+ (,,,) (Disproved contra) _ _ _+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ (,,,) _ (Disproved contra) _ _+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ (,,,) _ _ (Disproved contra) _+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ (,,,) _ _ _ (Disproved contra)+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ (%~) (SD _ _ _ _) (SE _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SD _ _ _ _) (SF _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SE _ _ _ _) (SA _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SE _ _ _ _) (SB _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SE _ _ _ _) (SC _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SE _ _ _ _) (SD _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SE a a a a) (SE b b b b)+ = case+ ((((,,,) (((%~) a) b)) (((%~) a) b)) (((%~) a) b)) (((%~) a) b)+ of+ (,,,) (Proved Refl) (Proved Refl) (Proved Refl) (Proved Refl)+ -> Proved Refl+ (,,,) (Disproved contra) _ _ _+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ (,,,) _ (Disproved contra) _ _+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ (,,,) _ _ (Disproved contra) _+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ (,,,) _ _ _ (Disproved contra)+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ (%~) (SE _ _ _ _) (SF _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SF _ _ _ _) (SA _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SF _ _ _ _) (SB _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SF _ _ _ _) (SC _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SF _ _ _ _) (SD _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SF _ _ _ _) (SE _ _ _ _) = Disproved (\ x -> case x of)+ (%~) (SF a a a a) (SF b b b b)+ = case+ ((((,,,) (((%~) a) b)) (((%~) a) b)) (((%~) a) b)) (((%~) a) b)+ of+ (,,,) (Proved Refl) (Proved Refl) (Proved Refl) (Proved Refl)+ -> Proved Refl+ (,,,) (Disproved contra) _ _ _+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ (,,,) _ (Disproved contra) _ _+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ (,,,) _ _ (Disproved contra) _+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ (,,,) _ _ _ (Disproved contra)+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ instance SingI Zero where+ sing = SZero+ instance SingI n => SingI (Succ (n :: Nat)) where+ sing = SSucc sing+ instance SingI (SuccSym0 :: (~>) Nat Nat) where+ sing = (singFun1 @SuccSym0) SSucc+ instance SingI (TyCon1 Succ :: (~>) Nat Nat) where+ sing = (singFun1 @(TyCon1 Succ)) SSucc+ instance (SingI n, SingI n, SingI n, SingI n) =>+ SingI (A (n :: a) (n :: b) (n :: c) (n :: d)) where+ sing = (((SA sing) sing) sing) sing+ instance SingI (ASym0 :: (~>) a ((~>) b ((~>) c ((~>) d (Foo a b c d))))) where+ sing = (singFun4 @ASym0) SA+ instance SingI (TyCon4 A :: (~>) a ((~>) b ((~>) c ((~>) d (Foo a b c d))))) where+ sing = (singFun4 @(TyCon4 A)) SA+ instance SingI d =>+ SingI (ASym1 (d :: a) :: (~>) b ((~>) c ((~>) d (Foo a b c d)))) where+ sing = (singFun3 @(ASym1 (d :: a))) (SA (sing @d))+ instance SingI d =>+ SingI (TyCon3 (A (d :: a)) :: (~>) b ((~>) c ((~>) d (Foo a b c d)))) where+ sing = (singFun3 @(TyCon3 (A (d :: a)))) (SA (sing @d))+ instance (SingI d, SingI d) =>+ SingI (ASym2 (d :: a) (d :: b) :: (~>) c ((~>) d (Foo a b c d))) where+ sing+ = (singFun2 @(ASym2 (d :: a) (d :: b))) ((SA (sing @d)) (sing @d))+ instance (SingI d, SingI d) =>+ SingI (TyCon2 (A (d :: a) (d :: b)) :: (~>) c ((~>) d (Foo a b c d))) where+ sing+ = (singFun2 @(TyCon2 (A (d :: a) (d :: b))))+ ((SA (sing @d)) (sing @d))+ instance (SingI d, SingI d, SingI d) =>+ SingI (ASym3 (d :: a) (d :: b) (d :: c) :: (~>) d (Foo a b c d)) where+ sing+ = (singFun1 @(ASym3 (d :: a) (d :: b) (d :: c)))+ (((SA (sing @d)) (sing @d)) (sing @d))+ instance (SingI d, SingI d, SingI d) =>+ SingI (TyCon1 (A (d :: a) (d :: b) (d :: c)) :: (~>) d (Foo a b c d)) where+ sing+ = (singFun1 @(TyCon1 (A (d :: a) (d :: b) (d :: c))))+ (((SA (sing @d)) (sing @d)) (sing @d))+ instance (SingI n, SingI n, SingI n, SingI n) =>+ SingI (B (n :: a) (n :: b) (n :: c) (n :: d)) where+ sing = (((SB sing) sing) sing) sing+ instance SingI (BSym0 :: (~>) a ((~>) b ((~>) c ((~>) d (Foo a b c d))))) where+ sing = (singFun4 @BSym0) SB+ instance SingI (TyCon4 B :: (~>) a ((~>) b ((~>) c ((~>) d (Foo a b c d))))) where+ sing = (singFun4 @(TyCon4 B)) SB+ instance SingI d =>+ SingI (BSym1 (d :: a) :: (~>) b ((~>) c ((~>) d (Foo a b c d)))) where+ sing = (singFun3 @(BSym1 (d :: a))) (SB (sing @d))+ instance SingI d =>+ SingI (TyCon3 (B (d :: a)) :: (~>) b ((~>) c ((~>) d (Foo a b c d)))) where+ sing = (singFun3 @(TyCon3 (B (d :: a)))) (SB (sing @d))+ instance (SingI d, SingI d) =>+ SingI (BSym2 (d :: a) (d :: b) :: (~>) c ((~>) d (Foo a b c d))) where+ sing+ = (singFun2 @(BSym2 (d :: a) (d :: b))) ((SB (sing @d)) (sing @d))+ instance (SingI d, SingI d) =>+ SingI (TyCon2 (B (d :: a) (d :: b)) :: (~>) c ((~>) d (Foo a b c d))) where+ sing+ = (singFun2 @(TyCon2 (B (d :: a) (d :: b))))+ ((SB (sing @d)) (sing @d))+ instance (SingI d, SingI d, SingI d) =>+ SingI (BSym3 (d :: a) (d :: b) (d :: c) :: (~>) d (Foo a b c d)) where+ sing+ = (singFun1 @(BSym3 (d :: a) (d :: b) (d :: c)))+ (((SB (sing @d)) (sing @d)) (sing @d))+ instance (SingI d, SingI d, SingI d) =>+ SingI (TyCon1 (B (d :: a) (d :: b) (d :: c)) :: (~>) d (Foo a b c d)) where+ sing+ = (singFun1 @(TyCon1 (B (d :: a) (d :: b) (d :: c))))+ (((SB (sing @d)) (sing @d)) (sing @d))+ instance (SingI n, SingI n, SingI n, SingI n) =>+ SingI (C (n :: a) (n :: b) (n :: c) (n :: d)) where+ sing = (((SC sing) sing) sing) sing+ instance SingI (CSym0 :: (~>) a ((~>) b ((~>) c ((~>) d (Foo a b c d))))) where+ sing = (singFun4 @CSym0) SC+ instance SingI (TyCon4 C :: (~>) a ((~>) b ((~>) c ((~>) d (Foo a b c d))))) where+ sing = (singFun4 @(TyCon4 C)) SC+ instance SingI d =>+ SingI (CSym1 (d :: a) :: (~>) b ((~>) c ((~>) d (Foo a b c d)))) where+ sing = (singFun3 @(CSym1 (d :: a))) (SC (sing @d))+ instance SingI d =>+ SingI (TyCon3 (C (d :: a)) :: (~>) b ((~>) c ((~>) d (Foo a b c d)))) where+ sing = (singFun3 @(TyCon3 (C (d :: a)))) (SC (sing @d))+ instance (SingI d, SingI d) =>+ SingI (CSym2 (d :: a) (d :: b) :: (~>) c ((~>) d (Foo a b c d))) where+ sing+ = (singFun2 @(CSym2 (d :: a) (d :: b))) ((SC (sing @d)) (sing @d))+ instance (SingI d, SingI d) =>+ SingI (TyCon2 (C (d :: a) (d :: b)) :: (~>) c ((~>) d (Foo a b c d))) where+ sing+ = (singFun2 @(TyCon2 (C (d :: a) (d :: b))))+ ((SC (sing @d)) (sing @d))+ instance (SingI d, SingI d, SingI d) =>+ SingI (CSym3 (d :: a) (d :: b) (d :: c) :: (~>) d (Foo a b c d)) where+ sing+ = (singFun1 @(CSym3 (d :: a) (d :: b) (d :: c)))+ (((SC (sing @d)) (sing @d)) (sing @d))+ instance (SingI d, SingI d, SingI d) =>+ SingI (TyCon1 (C (d :: a) (d :: b) (d :: c)) :: (~>) d (Foo a b c d)) where+ sing+ = (singFun1 @(TyCon1 (C (d :: a) (d :: b) (d :: c))))+ (((SC (sing @d)) (sing @d)) (sing @d))+ instance (SingI n, SingI n, SingI n, SingI n) =>+ SingI (D (n :: a) (n :: b) (n :: c) (n :: d)) where+ sing = (((SD sing) sing) sing) sing+ instance SingI (DSym0 :: (~>) a ((~>) b ((~>) c ((~>) d (Foo a b c d))))) where+ sing = (singFun4 @DSym0) SD+ instance SingI (TyCon4 D :: (~>) a ((~>) b ((~>) c ((~>) d (Foo a b c d))))) where+ sing = (singFun4 @(TyCon4 D)) SD+ instance SingI d =>+ SingI (DSym1 (d :: a) :: (~>) b ((~>) c ((~>) d (Foo a b c d)))) where+ sing = (singFun3 @(DSym1 (d :: a))) (SD (sing @d))+ instance SingI d =>+ SingI (TyCon3 (D (d :: a)) :: (~>) b ((~>) c ((~>) d (Foo a b c d)))) where+ sing = (singFun3 @(TyCon3 (D (d :: a)))) (SD (sing @d))+ instance (SingI d, SingI d) =>+ SingI (DSym2 (d :: a) (d :: b) :: (~>) c ((~>) d (Foo a b c d))) where+ sing+ = (singFun2 @(DSym2 (d :: a) (d :: b))) ((SD (sing @d)) (sing @d))+ instance (SingI d, SingI d) =>+ SingI (TyCon2 (D (d :: a) (d :: b)) :: (~>) c ((~>) d (Foo a b c d))) where+ sing+ = (singFun2 @(TyCon2 (D (d :: a) (d :: b))))+ ((SD (sing @d)) (sing @d))+ instance (SingI d, SingI d, SingI d) =>+ SingI (DSym3 (d :: a) (d :: b) (d :: c) :: (~>) d (Foo a b c d)) where+ sing+ = (singFun1 @(DSym3 (d :: a) (d :: b) (d :: c)))+ (((SD (sing @d)) (sing @d)) (sing @d))+ instance (SingI d, SingI d, SingI d) =>+ SingI (TyCon1 (D (d :: a) (d :: b) (d :: c)) :: (~>) d (Foo a b c d)) where+ sing+ = (singFun1 @(TyCon1 (D (d :: a) (d :: b) (d :: c))))+ (((SD (sing @d)) (sing @d)) (sing @d))+ instance (SingI n, SingI n, SingI n, SingI n) =>+ SingI (E (n :: a) (n :: b) (n :: c) (n :: d)) where+ sing = (((SE sing) sing) sing) sing+ instance SingI (ESym0 :: (~>) a ((~>) b ((~>) c ((~>) d (Foo a b c d))))) where+ sing = (singFun4 @ESym0) SE+ instance SingI (TyCon4 E :: (~>) a ((~>) b ((~>) c ((~>) d (Foo a b c d))))) where+ sing = (singFun4 @(TyCon4 E)) SE+ instance SingI d =>+ SingI (ESym1 (d :: a) :: (~>) b ((~>) c ((~>) d (Foo a b c d)))) where+ sing = (singFun3 @(ESym1 (d :: a))) (SE (sing @d))+ instance SingI d =>+ SingI (TyCon3 (E (d :: a)) :: (~>) b ((~>) c ((~>) d (Foo a b c d)))) where+ sing = (singFun3 @(TyCon3 (E (d :: a)))) (SE (sing @d))+ instance (SingI d, SingI d) =>+ SingI (ESym2 (d :: a) (d :: b) :: (~>) c ((~>) d (Foo a b c d))) where+ sing+ = (singFun2 @(ESym2 (d :: a) (d :: b))) ((SE (sing @d)) (sing @d))+ instance (SingI d, SingI d) =>+ SingI (TyCon2 (E (d :: a) (d :: b)) :: (~>) c ((~>) d (Foo a b c d))) where+ sing+ = (singFun2 @(TyCon2 (E (d :: a) (d :: b))))+ ((SE (sing @d)) (sing @d))+ instance (SingI d, SingI d, SingI d) =>+ SingI (ESym3 (d :: a) (d :: b) (d :: c) :: (~>) d (Foo a b c d)) where+ sing+ = (singFun1 @(ESym3 (d :: a) (d :: b) (d :: c)))+ (((SE (sing @d)) (sing @d)) (sing @d))+ instance (SingI d, SingI d, SingI d) =>+ SingI (TyCon1 (E (d :: a) (d :: b) (d :: c)) :: (~>) d (Foo a b c d)) where+ sing+ = (singFun1 @(TyCon1 (E (d :: a) (d :: b) (d :: c))))+ (((SE (sing @d)) (sing @d)) (sing @d))+ instance (SingI n, SingI n, SingI n, SingI n) =>+ SingI (F (n :: a) (n :: b) (n :: c) (n :: d)) where+ sing = (((SF sing) sing) sing) sing+ instance SingI (FSym0 :: (~>) a ((~>) b ((~>) c ((~>) d (Foo a b c d))))) where+ sing = (singFun4 @FSym0) SF+ instance SingI (TyCon4 F :: (~>) a ((~>) b ((~>) c ((~>) d (Foo a b c d))))) where+ sing = (singFun4 @(TyCon4 F)) SF+ instance SingI d =>+ SingI (FSym1 (d :: a) :: (~>) b ((~>) c ((~>) d (Foo a b c d)))) where+ sing = (singFun3 @(FSym1 (d :: a))) (SF (sing @d))+ instance SingI d =>+ SingI (TyCon3 (F (d :: a)) :: (~>) b ((~>) c ((~>) d (Foo a b c d)))) where+ sing = (singFun3 @(TyCon3 (F (d :: a)))) (SF (sing @d))+ instance (SingI d, SingI d) =>+ SingI (FSym2 (d :: a) (d :: b) :: (~>) c ((~>) d (Foo a b c d))) where+ sing+ = (singFun2 @(FSym2 (d :: a) (d :: b))) ((SF (sing @d)) (sing @d))+ instance (SingI d, SingI d) =>+ SingI (TyCon2 (F (d :: a) (d :: b)) :: (~>) c ((~>) d (Foo a b c d))) where+ sing+ = (singFun2 @(TyCon2 (F (d :: a) (d :: b))))+ ((SF (sing @d)) (sing @d))+ instance (SingI d, SingI d, SingI d) =>+ SingI (FSym3 (d :: a) (d :: b) (d :: c) :: (~>) d (Foo a b c d)) where+ sing+ = (singFun1 @(FSym3 (d :: a) (d :: b) (d :: c)))+ (((SF (sing @d)) (sing @d)) (sing @d))+ instance (SingI d, SingI d, SingI d) =>+ SingI (TyCon1 (F (d :: a) (d :: b) (d :: c)) :: (~>) d (Foo a b c d)) where+ sing+ = (singFun1 @(TyCon1 (F (d :: a) (d :: b) (d :: c))))+ (((SF (sing @d)) (sing @d)) (sing @d))
− tests/compile-and-dump/Singletons/OverloadedStrings.ghc84.template
@@ -1,31 +0,0 @@-Singletons/OverloadedStrings.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| symId :: Symbol -> Symbol- symId x = x- foo :: Symbol- foo = symId "foo" |]- ======>- symId :: Symbol -> Symbol- symId x = x- foo :: Symbol- foo = symId "foo"- type SymIdSym1 (t :: Symbol) = SymId t- instance SuppressUnusedWarnings SymIdSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) SymIdSym0KindInference) GHC.Tuple.())- data SymIdSym0 (l :: TyFun Symbol Symbol)- = forall arg. SameKind (Apply SymIdSym0 arg) (SymIdSym1 arg) =>- SymIdSym0KindInference- type instance Apply SymIdSym0 l = SymId l- type FooSym0 = Foo- type family SymId (a :: Symbol) :: Symbol where- SymId x = x- type family Foo :: Symbol where- Foo = Apply SymIdSym0 (Data.Singletons.Prelude.IsString.FromString "foo")- sSymId ::- forall (t :: Symbol). Sing t -> Sing (Apply SymIdSym0 t :: Symbol)- sFoo :: Sing (FooSym0 :: Symbol)- sSymId (sX :: Sing x) = sX- sFoo- = (applySing ((singFun1 @SymIdSym0) sSymId))- (Data.Singletons.Prelude.IsString.sFromString (sing :: Sing "foo"))
+ tests/compile-and-dump/Singletons/OverloadedStrings.ghc86.template view
@@ -0,0 +1,35 @@+Singletons/OverloadedStrings.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| symId :: Symbol -> Symbol+ symId x = x+ foo :: Symbol+ foo = symId "foo" |]+ ======>+ symId :: Symbol -> Symbol+ symId x = x+ foo :: Symbol+ foo = symId "foo"+ type SymIdSym1 (a0123456789876543210 :: Symbol) =+ SymId a0123456789876543210+ instance SuppressUnusedWarnings SymIdSym0 where+ suppressUnusedWarnings = snd (((,) SymIdSym0KindInference) ())+ data SymIdSym0 :: (~>) Symbol Symbol+ where+ SymIdSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply SymIdSym0 arg) (SymIdSym1 arg) =>+ SymIdSym0 a0123456789876543210+ type instance Apply SymIdSym0 a0123456789876543210 = SymId a0123456789876543210+ type FooSym0 = Foo+ type family SymId (a :: Symbol) :: Symbol where+ SymId x = x+ type family Foo :: Symbol where+ Foo = Apply SymIdSym0 (Data.Singletons.Prelude.IsString.FromString "foo")+ sSymId ::+ forall (t :: Symbol). Sing t -> Sing (Apply SymIdSym0 t :: Symbol)+ sFoo :: Sing (FooSym0 :: Symbol)+ sSymId (sX :: Sing x) = sX+ sFoo+ = (applySing ((singFun1 @SymIdSym0) sSymId))+ (Data.Singletons.Prelude.IsString.sFromString (sing :: Sing "foo"))+ instance SingI (SymIdSym0 :: (~>) Symbol Symbol) where+ sing = (singFun1 @SymIdSym0) sSymId
− tests/compile-and-dump/Singletons/PatternMatching.ghc84.template
@@ -1,544 +0,0 @@-Singletons/PatternMatching.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| pr = Pair (Succ Zero) ([Zero])- complex = Pair (Pair (Just Zero) Zero) False- tuple = (False, Just Zero, True)- aList = [Zero, Succ Zero, Succ (Succ Zero)]- - data Pair a b- = Pair a b- deriving Show |]- ======>- data Pair a b- = Pair a b- deriving Show- pr = (Pair (Succ Zero)) [Zero]- complex = (Pair ((Pair (Just Zero)) Zero)) False- tuple = (False, Just Zero, True)- aList = [Zero, Succ Zero, Succ (Succ Zero)]- type PairSym2 (t :: a0123456789876543210) (t :: b0123456789876543210) =- Pair t t- instance SuppressUnusedWarnings PairSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) PairSym1KindInference) GHC.Tuple.())- data PairSym1 (l :: a0123456789876543210) (l :: TyFun b0123456789876543210 (Pair a0123456789876543210 b0123456789876543210))- = forall arg. SameKind (Apply (PairSym1 l) arg) (PairSym2 l arg) =>- PairSym1KindInference- type instance Apply (PairSym1 l) l = Pair l l- instance SuppressUnusedWarnings PairSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) PairSym0KindInference) GHC.Tuple.())- data PairSym0 (l :: TyFun a0123456789876543210 (TyFun b0123456789876543210 (Pair a0123456789876543210 b0123456789876543210)- -> GHC.Types.Type))- = forall arg. SameKind (Apply PairSym0 arg) (PairSym1 arg) =>- PairSym0KindInference- type instance Apply PairSym0 l = PairSym1 l- type AListSym0 = AList- type TupleSym0 = Tuple- type ComplexSym0 = Complex- type PrSym0 = Pr- type family AList where- AList = Apply (Apply (:@#@$) ZeroSym0) (Apply (Apply (:@#@$) (Apply SuccSym0 ZeroSym0)) (Apply (Apply (:@#@$) (Apply SuccSym0 (Apply SuccSym0 ZeroSym0))) '[]))- type family Tuple where- Tuple = Apply (Apply (Apply Tuple3Sym0 FalseSym0) (Apply JustSym0 ZeroSym0)) TrueSym0- type family Complex where- Complex = Apply (Apply PairSym0 (Apply (Apply PairSym0 (Apply JustSym0 ZeroSym0)) ZeroSym0)) FalseSym0- type family Pr where- Pr = Apply (Apply PairSym0 (Apply SuccSym0 ZeroSym0)) (Apply (Apply (:@#@$) ZeroSym0) '[])- type family ShowsPrec_0123456789876543210 (a :: GHC.Types.Nat) (a :: Pair a b) (a :: Symbol) :: Symbol where- ShowsPrec_0123456789876543210 p_0123456789876543210 (Pair arg_0123456789876543210 arg_0123456789876543210) a_0123456789876543210 = Apply (Apply (Apply ShowParenSym0 (Apply (Apply (>@#@$) p_0123456789876543210) (FromInteger 10))) (Apply (Apply (.@#@$) (Apply ShowStringSym0 "Pair ")) (Apply (Apply (.@#@$) (Apply (Apply ShowsPrecSym0 (FromInteger 11)) arg_0123456789876543210)) (Apply (Apply (.@#@$) ShowSpaceSym0) (Apply (Apply ShowsPrecSym0 (FromInteger 11)) arg_0123456789876543210))))) a_0123456789876543210- type ShowsPrec_0123456789876543210Sym3 (t :: GHC.Types.Nat) (t :: Pair a0123456789876543210 b0123456789876543210) (t :: Symbol) =- ShowsPrec_0123456789876543210 t t t- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym2 (l :: GHC.Types.Nat) (l :: Pair a0123456789876543210 b0123456789876543210) (l :: TyFun Symbol Symbol)- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 l l) arg) (ShowsPrec_0123456789876543210Sym3 l l arg) =>- ShowsPrec_0123456789876543210Sym2KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym2 l l) l = ShowsPrec_0123456789876543210 l l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym1 (l :: GHC.Types.Nat) (l :: TyFun (Pair a0123456789876543210 b0123456789876543210) (TyFun Symbol Symbol- -> GHC.Types.Type))- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 l) arg) (ShowsPrec_0123456789876543210Sym2 l arg) =>- ShowsPrec_0123456789876543210Sym1KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym1 l) l = ShowsPrec_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym0 (l :: TyFun GHC.Types.Nat (TyFun (Pair a0123456789876543210 b0123456789876543210) (TyFun Symbol Symbol- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>- ShowsPrec_0123456789876543210Sym0KindInference- type instance Apply ShowsPrec_0123456789876543210Sym0 l = ShowsPrec_0123456789876543210Sym1 l- instance PShow (Pair a b) where- type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a- sAList :: Sing AListSym0- sTuple :: Sing TupleSym0- sComplex :: Sing ComplexSym0- sPr :: Sing PrSym0- sAList- = (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SZero))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing ((singFun1 @SuccSym0) SSucc))- ((applySing ((singFun1 @SuccSym0) SSucc)) SZero))))- SNil))- sTuple- = (applySing- ((applySing ((applySing ((singFun3 @Tuple3Sym0) STuple3)) SFalse))- ((applySing ((singFun1 @JustSym0) SJust)) SZero)))- STrue- sComplex- = (applySing- ((applySing ((singFun2 @PairSym0) SPair))- ((applySing- ((applySing ((singFun2 @PairSym0) SPair))- ((applySing ((singFun1 @JustSym0) SJust)) SZero)))- SZero)))- SFalse- sPr- = (applySing- ((applySing ((singFun2 @PairSym0) SPair))- ((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))- ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SZero)) SNil)- data instance Sing (z :: Pair a b)- where- SPair :: forall (n :: a) (n :: b).- (Sing (n :: a)) -> (Sing (n :: b)) -> Sing (Pair n n)- type SPair = (Sing :: Pair a b -> GHC.Types.Type)- instance (SingKind a, SingKind b) => SingKind (Pair a b) where- type Demote (Pair a b) = Pair (Demote a) (Demote b)- fromSing (SPair b b) = (Pair (fromSing b)) (fromSing b)- toSing (Pair (b :: Demote a) (b :: Demote b))- = case- (GHC.Tuple.(,) (toSing b :: SomeSing a)) (toSing b :: SomeSing b)- of {- GHC.Tuple.(,) (SomeSing c) (SomeSing c) -> SomeSing ((SPair c) c) }- instance (SShow a, SShow b) => SShow (Pair a b) where- sShowsPrec ::- forall (t1 :: GHC.Types.Nat) (t2 :: Pair a b) (t3 :: Symbol).- Sing t1- -> Sing t2- -> Sing t3- -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun GHC.Types.Nat (TyFun (Pair a b) (TyFun Symbol Symbol- -> GHC.Types.Type)- -> GHC.Types.Type)- -> GHC.Types.Type) t1) t2) t3)- sShowsPrec- (sP_0123456789876543210 :: Sing p_0123456789876543210)- (SPair (sArg_0123456789876543210 :: Sing arg_0123456789876543210)- (sArg_0123456789876543210 :: Sing arg_0123456789876543210))- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing- ((applySing ((singFun3 @ShowParenSym0) sShowParen))- ((applySing- ((applySing ((singFun2 @(>@#@$)) (%>))) sP_0123456789876543210))- (sFromInteger (sing :: Sing 10)))))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "Pair "))))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((applySing- ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))- (sFromInteger (sing :: Sing 11))))- sArg_0123456789876543210)))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((singFun1 @ShowSpaceSym0) sShowSpace)))- ((applySing- ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))- (sFromInteger (sing :: Sing 11))))- sArg_0123456789876543210))))))- sA_0123456789876543210- instance (Data.Singletons.ShowSing.ShowSing a,- Data.Singletons.ShowSing.ShowSing b) =>- Data.Singletons.ShowSing.ShowSing (Pair a b) where- Data.Singletons.ShowSing.showsSingPrec- p_0123456789876543210- (SPair arg_0123456789876543210 arg_0123456789876543210)- = (showParen (((>) p_0123456789876543210) 10))- (((.) (showString "SPair "))- (((.)- ((Data.Singletons.ShowSing.showsSingPrec 11)- arg_0123456789876543210))- (((.) GHC.Show.showSpace)- ((Data.Singletons.ShowSing.showsSingPrec 11)- arg_0123456789876543210))))- instance (Data.Singletons.ShowSing.ShowSing a,- Data.Singletons.ShowSing.ShowSing b) =>- Show (Sing (z :: Pair a b)) where- showsPrec = Data.Singletons.ShowSing.showsSingPrec- instance (SingI n, SingI n) => SingI (Pair (n :: a) (n :: b)) where- sing = (SPair sing) sing-Singletons/PatternMatching.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| Pair sz lz = pr- Pair (Pair jz zz) fls = complex- (tf, tjz, tt) = tuple- [_, lsz, (Succ blimy)] = aList- lsz :: Nat- fls :: Bool- foo1 :: (a, b) -> a- foo1 (x, y) = (\ _ -> x) y- foo2 :: (# a, b #) -> a- foo2 t@(# x, y #) = case t of { (# a, b #) -> (\ _ -> a) b }- silly :: a -> ()- silly x = case x of { _ -> () } |]- ======>- Pair sz lz = pr- Pair (Pair jz zz) fls = complex- (tf, tjz, tt) = tuple- [_, lsz, Succ blimy] = aList- lsz :: Nat- fls :: Bool- foo1 :: (a, b) -> a- foo1 (x, y) = (\ _ -> x) y- foo2 :: (# a, b #) -> a- foo2 t@(# x, y #) = case t of { (# a, b #) -> (\ _ -> a) b }- silly :: a -> ()- silly x = case x of { _ -> GHC.Tuple.() }- type family Case_0123456789876543210 x t where- Case_0123456789876543210 x _ = Tuple0Sym0- type Let0123456789876543210TSym2 t t = Let0123456789876543210T t t- instance SuppressUnusedWarnings Let0123456789876543210TSym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210TSym1KindInference)- GHC.Tuple.())- data Let0123456789876543210TSym1 l l- = forall arg. SameKind (Apply (Let0123456789876543210TSym1 l) arg) (Let0123456789876543210TSym2 l arg) =>- Let0123456789876543210TSym1KindInference- type instance Apply (Let0123456789876543210TSym1 l) l = Let0123456789876543210T l l- instance SuppressUnusedWarnings Let0123456789876543210TSym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Let0123456789876543210TSym0KindInference)- GHC.Tuple.())- data Let0123456789876543210TSym0 l- = forall arg. SameKind (Apply Let0123456789876543210TSym0 arg) (Let0123456789876543210TSym1 arg) =>- Let0123456789876543210TSym0KindInference- type instance Apply Let0123456789876543210TSym0 l = Let0123456789876543210TSym1 l- type family Let0123456789876543210T x y where- Let0123456789876543210T x y = Apply (Apply Tuple2Sym0 x) y- type family Case_0123456789876543210 x y a b arg_0123456789876543210 t where- Case_0123456789876543210 x y a b arg_0123456789876543210 _ = a- type family Lambda_0123456789876543210 x y a b t where- Lambda_0123456789876543210 x y a b arg_0123456789876543210 = Case_0123456789876543210 x y a b arg_0123456789876543210 arg_0123456789876543210- type Lambda_0123456789876543210Sym5 t t t t t =- Lambda_0123456789876543210 t t t t t- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym4 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym4KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym4 l l l l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym4 l l l l) arg) (Lambda_0123456789876543210Sym5 l l l l arg) =>- Lambda_0123456789876543210Sym4KindInference- type instance Apply (Lambda_0123456789876543210Sym4 l l l l) l = Lambda_0123456789876543210 l l l l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym3 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym3KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym3 l l l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym3 l l l) arg) (Lambda_0123456789876543210Sym4 l l l arg) =>- Lambda_0123456789876543210Sym3KindInference- type instance Apply (Lambda_0123456789876543210Sym3 l l l) l = Lambda_0123456789876543210Sym4 l l l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym2 l l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym2 l l) arg) (Lambda_0123456789876543210Sym3 l l arg) =>- Lambda_0123456789876543210Sym2KindInference- type instance Apply (Lambda_0123456789876543210Sym2 l l) l = Lambda_0123456789876543210Sym3 l l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym1 l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym1 l) arg) (Lambda_0123456789876543210Sym2 l arg) =>- Lambda_0123456789876543210Sym1KindInference- type instance Apply (Lambda_0123456789876543210Sym1 l) l = Lambda_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym0 l- = forall arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>- Lambda_0123456789876543210Sym0KindInference- type instance Apply Lambda_0123456789876543210Sym0 l = Lambda_0123456789876543210Sym1 l- type family Case_0123456789876543210 x y t where- Case_0123456789876543210 x y '(a,- b) = Apply (Apply (Apply (Apply (Apply Lambda_0123456789876543210Sym0 x) y) a) b) b- type family Case_0123456789876543210 x y arg_0123456789876543210 t where- Case_0123456789876543210 x y arg_0123456789876543210 _ = x- type family Lambda_0123456789876543210 x y t where- Lambda_0123456789876543210 x y arg_0123456789876543210 = Case_0123456789876543210 x y arg_0123456789876543210 arg_0123456789876543210- type Lambda_0123456789876543210Sym3 t t t =- Lambda_0123456789876543210 t t t- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym2 l l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym2 l l) arg) (Lambda_0123456789876543210Sym3 l l arg) =>- Lambda_0123456789876543210Sym2KindInference- type instance Apply (Lambda_0123456789876543210Sym2 l l) l = Lambda_0123456789876543210 l l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym1 l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym1 l) arg) (Lambda_0123456789876543210Sym2 l arg) =>- Lambda_0123456789876543210Sym1KindInference- type instance Apply (Lambda_0123456789876543210Sym1 l) l = Lambda_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym0 l- = forall arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>- Lambda_0123456789876543210Sym0KindInference- type instance Apply Lambda_0123456789876543210Sym0 l = Lambda_0123456789876543210Sym1 l- type family Case_0123456789876543210 t where- Case_0123456789876543210 '[_,- y_0123456789876543210,- Succ _] = y_0123456789876543210- type family Case_0123456789876543210 t where- Case_0123456789876543210 '[_,- _,- Succ y_0123456789876543210] = y_0123456789876543210- type family Case_0123456789876543210 t where- Case_0123456789876543210 '(y_0123456789876543210,- _,- _) = y_0123456789876543210- type family Case_0123456789876543210 t where- Case_0123456789876543210 '(_,- y_0123456789876543210,- _) = y_0123456789876543210- type family Case_0123456789876543210 t where- Case_0123456789876543210 '(_,- _,- y_0123456789876543210) = y_0123456789876543210- type family Case_0123456789876543210 t where- Case_0123456789876543210 (Pair (Pair y_0123456789876543210 _) _) = y_0123456789876543210- type family Case_0123456789876543210 t where- Case_0123456789876543210 (Pair (Pair _ y_0123456789876543210) _) = y_0123456789876543210- type family Case_0123456789876543210 t where- Case_0123456789876543210 (Pair (Pair _ _) y_0123456789876543210) = y_0123456789876543210- type family Case_0123456789876543210 t where- Case_0123456789876543210 (Pair y_0123456789876543210 _) = y_0123456789876543210- type family Case_0123456789876543210 t where- Case_0123456789876543210 (Pair _ y_0123456789876543210) = y_0123456789876543210- type SillySym1 (t :: a0123456789876543210) = Silly t- instance SuppressUnusedWarnings SillySym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) SillySym0KindInference) GHC.Tuple.())- data SillySym0 (l :: TyFun a0123456789876543210 ())- = forall arg. SameKind (Apply SillySym0 arg) (SillySym1 arg) =>- SillySym0KindInference- type instance Apply SillySym0 l = Silly l- type Foo2Sym1 (t :: (a0123456789876543210, b0123456789876543210)) =- Foo2 t- instance SuppressUnusedWarnings Foo2Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo2Sym0KindInference) GHC.Tuple.())- data Foo2Sym0 (l :: TyFun (a0123456789876543210,- b0123456789876543210) a0123456789876543210)- = forall arg. SameKind (Apply Foo2Sym0 arg) (Foo2Sym1 arg) =>- Foo2Sym0KindInference- type instance Apply Foo2Sym0 l = Foo2 l- type Foo1Sym1 (t :: (a0123456789876543210, b0123456789876543210)) =- Foo1 t- instance SuppressUnusedWarnings Foo1Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Foo1Sym0KindInference) GHC.Tuple.())- data Foo1Sym0 (l :: TyFun (a0123456789876543210,- b0123456789876543210) a0123456789876543210)- = forall arg. SameKind (Apply Foo1Sym0 arg) (Foo1Sym1 arg) =>- Foo1Sym0KindInference- type instance Apply Foo1Sym0 l = Foo1 l- type LszSym0 = Lsz- type BlimySym0 = Blimy- type TfSym0 = Tf- type TjzSym0 = Tjz- type TtSym0 = Tt- type JzSym0 = Jz- type ZzSym0 = Zz- type FlsSym0 = Fls- type SzSym0 = Sz- type LzSym0 = Lz- type X_0123456789876543210Sym0 = X_0123456789876543210- type X_0123456789876543210Sym0 = X_0123456789876543210- type X_0123456789876543210Sym0 = X_0123456789876543210- type X_0123456789876543210Sym0 = X_0123456789876543210- type family Silly (a :: a) :: () where- Silly x = Case_0123456789876543210 x x- type family Foo2 (a :: (a, b)) :: a where- Foo2 '(x,- y) = Case_0123456789876543210 x y (Let0123456789876543210TSym2 x y)- type family Foo1 (a :: (a, b)) :: a where- Foo1 '(x,- y) = Apply (Apply (Apply Lambda_0123456789876543210Sym0 x) y) y- type family Lsz :: Nat where- Lsz = Case_0123456789876543210 X_0123456789876543210Sym0- type family Blimy where- Blimy = Case_0123456789876543210 X_0123456789876543210Sym0- type family Tf where- Tf = Case_0123456789876543210 X_0123456789876543210Sym0- type family Tjz where- Tjz = Case_0123456789876543210 X_0123456789876543210Sym0- type family Tt where- Tt = Case_0123456789876543210 X_0123456789876543210Sym0- type family Jz where- Jz = Case_0123456789876543210 X_0123456789876543210Sym0- type family Zz where- Zz = Case_0123456789876543210 X_0123456789876543210Sym0- type family Fls :: Bool where- Fls = Case_0123456789876543210 X_0123456789876543210Sym0- type family Sz where- Sz = Case_0123456789876543210 X_0123456789876543210Sym0- type family Lz where- Lz = Case_0123456789876543210 X_0123456789876543210Sym0- type family X_0123456789876543210 where- X_0123456789876543210 = PrSym0- type family X_0123456789876543210 where- X_0123456789876543210 = ComplexSym0- type family X_0123456789876543210 where- X_0123456789876543210 = TupleSym0- type family X_0123456789876543210 where- X_0123456789876543210 = AListSym0- sSilly :: forall (t :: a). Sing t -> Sing (Apply SillySym0 t :: ())- sFoo2 ::- forall (t :: (a, b)). Sing t -> Sing (Apply Foo2Sym0 t :: a)- sFoo1 ::- forall (t :: (a, b)). Sing t -> Sing (Apply Foo1Sym0 t :: a)- sLsz :: Sing (LszSym0 :: Nat)- sBlimy :: Sing BlimySym0- sTf :: Sing TfSym0- sTjz :: Sing TjzSym0- sTt :: Sing TtSym0- sJz :: Sing JzSym0- sZz :: Sing ZzSym0- sFls :: Sing (FlsSym0 :: Bool)- sSz :: Sing SzSym0- sLz :: Sing LzSym0- sX_0123456789876543210 :: Sing X_0123456789876543210Sym0- sX_0123456789876543210 :: Sing X_0123456789876543210Sym0- sX_0123456789876543210 :: Sing X_0123456789876543210Sym0- sX_0123456789876543210 :: Sing X_0123456789876543210Sym0- sSilly (sX :: Sing x)- = case sX of { _ -> STuple0 } ::- Sing (Case_0123456789876543210 x x :: ())- sFoo2 (STuple2 (sX :: Sing x) (sY :: Sing y))- = let- sT :: Sing (Let0123456789876543210TSym2 x y)- sT- = (applySing ((applySing ((singFun2 @Tuple2Sym0) STuple2)) sX)) sY- in case sT of {- STuple2 (sA :: Sing a) (sB :: Sing b)- -> (applySing- ((singFun1- @(Apply (Apply (Apply (Apply Lambda_0123456789876543210Sym0 x) y) a) b))- (\ sArg_0123456789876543210- -> case sArg_0123456789876543210 of {- _ :: Sing arg_0123456789876543210- -> case sArg_0123456789876543210 of { _ -> sA } ::- Sing (Case_0123456789876543210 x y a b arg_0123456789876543210 arg_0123456789876543210) })))- sB } ::- Sing (Case_0123456789876543210 x y (Let0123456789876543210TSym2 x y) :: a)- sFoo1 (STuple2 (sX :: Sing x) (sY :: Sing y))- = (applySing- ((singFun1 @(Apply (Apply Lambda_0123456789876543210Sym0 x) y))- (\ sArg_0123456789876543210- -> case sArg_0123456789876543210 of {- _ :: Sing arg_0123456789876543210- -> case sArg_0123456789876543210 of { _ -> sX } ::- Sing (Case_0123456789876543210 x y arg_0123456789876543210 arg_0123456789876543210) })))- sY- sLsz- = case sX_0123456789876543210 of {- SCons _- (SCons (sY_0123456789876543210 :: Sing y_0123456789876543210)- (SCons (SSucc _) SNil))- -> sY_0123456789876543210 } ::- Sing (Case_0123456789876543210 X_0123456789876543210Sym0 :: Nat)- sBlimy- = case sX_0123456789876543210 of {- SCons _- (SCons _- (SCons (SSucc (sY_0123456789876543210 :: Sing y_0123456789876543210))- SNil))- -> sY_0123456789876543210 } ::- Sing (Case_0123456789876543210 X_0123456789876543210Sym0)- sTf- = case sX_0123456789876543210 of {- STuple3 (sY_0123456789876543210 :: Sing y_0123456789876543210) _ _- -> sY_0123456789876543210 } ::- Sing (Case_0123456789876543210 X_0123456789876543210Sym0)- sTjz- = case sX_0123456789876543210 of {- STuple3 _ (sY_0123456789876543210 :: Sing y_0123456789876543210) _- -> sY_0123456789876543210 } ::- Sing (Case_0123456789876543210 X_0123456789876543210Sym0)- sTt- = case sX_0123456789876543210 of {- STuple3 _ _ (sY_0123456789876543210 :: Sing y_0123456789876543210)- -> sY_0123456789876543210 } ::- Sing (Case_0123456789876543210 X_0123456789876543210Sym0)- sJz- = case sX_0123456789876543210 of {- SPair (SPair (sY_0123456789876543210 :: Sing y_0123456789876543210)- _)- _- -> sY_0123456789876543210 } ::- Sing (Case_0123456789876543210 X_0123456789876543210Sym0)- sZz- = case sX_0123456789876543210 of {- SPair (SPair _- (sY_0123456789876543210 :: Sing y_0123456789876543210))- _- -> sY_0123456789876543210 } ::- Sing (Case_0123456789876543210 X_0123456789876543210Sym0)- sFls- = case sX_0123456789876543210 of {- SPair (SPair _ _)- (sY_0123456789876543210 :: Sing y_0123456789876543210)- -> sY_0123456789876543210 } ::- Sing (Case_0123456789876543210 X_0123456789876543210Sym0 :: Bool)- sSz- = case sX_0123456789876543210 of {- SPair (sY_0123456789876543210 :: Sing y_0123456789876543210) _- -> sY_0123456789876543210 } ::- Sing (Case_0123456789876543210 X_0123456789876543210Sym0)- sLz- = case sX_0123456789876543210 of {- SPair _ (sY_0123456789876543210 :: Sing y_0123456789876543210)- -> sY_0123456789876543210 } ::- Sing (Case_0123456789876543210 X_0123456789876543210Sym0)- sX_0123456789876543210 = sPr- sX_0123456789876543210 = sComplex- sX_0123456789876543210 = sTuple- sX_0123456789876543210 = sAList
+ tests/compile-and-dump/Singletons/PatternMatching.ghc86.template view
@@ -0,0 +1,574 @@+Singletons/PatternMatching.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| pr = Pair (Succ Zero) ([Zero])+ complex = Pair (Pair (Just Zero) Zero) False+ tuple = (False, Just Zero, True)+ aList = [Zero, Succ Zero, Succ (Succ Zero)]+ + data Pair a b+ = Pair a b+ deriving Show |]+ ======>+ data Pair a b+ = Pair a b+ deriving Show+ pr = (Pair (Succ Zero)) [Zero]+ complex = (Pair ((Pair (Just Zero)) Zero)) False+ tuple = (False, Just Zero, True)+ aList = [Zero, Succ Zero, Succ (Succ Zero)]+ type PairSym2 (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: b0123456789876543210) =+ Pair t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (PairSym1 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) PairSym1KindInference) ())+ data PairSym1 (t0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210.+ (~>) b0123456789876543210 (Pair a0123456789876543210 b0123456789876543210)+ where+ PairSym1KindInference :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (PairSym1 t0123456789876543210) arg) (PairSym2 t0123456789876543210 arg) =>+ PairSym1 t0123456789876543210 t0123456789876543210+ type instance Apply (PairSym1 t0123456789876543210) t0123456789876543210 = Pair t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings PairSym0 where+ suppressUnusedWarnings = snd (((,) PairSym0KindInference) ())+ data PairSym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) a0123456789876543210 ((~>) b0123456789876543210 (Pair a0123456789876543210 b0123456789876543210))+ where+ PairSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply PairSym0 arg) (PairSym1 arg) =>+ PairSym0 t0123456789876543210+ type instance Apply PairSym0 t0123456789876543210 = PairSym1 t0123456789876543210+ type AListSym0 = AList+ type TupleSym0 = Tuple+ type ComplexSym0 = Complex+ type PrSym0 = Pr+ type family AList where+ AList = Apply (Apply (:@#@$) ZeroSym0) (Apply (Apply (:@#@$) (Apply SuccSym0 ZeroSym0)) (Apply (Apply (:@#@$) (Apply SuccSym0 (Apply SuccSym0 ZeroSym0))) '[]))+ type family Tuple where+ Tuple = Apply (Apply (Apply Tuple3Sym0 FalseSym0) (Apply JustSym0 ZeroSym0)) TrueSym0+ type family Complex where+ Complex = Apply (Apply PairSym0 (Apply (Apply PairSym0 (Apply JustSym0 ZeroSym0)) ZeroSym0)) FalseSym0+ type family Pr where+ Pr = Apply (Apply PairSym0 (Apply SuccSym0 ZeroSym0)) (Apply (Apply (:@#@$) ZeroSym0) '[])+ type family ShowsPrec_0123456789876543210 (a :: GHC.Types.Nat) (a :: Pair a b) (a :: Symbol) :: Symbol where+ ShowsPrec_0123456789876543210 p_0123456789876543210 (Pair arg_0123456789876543210 arg_0123456789876543210) a_0123456789876543210 = Apply (Apply (Apply ShowParenSym0 (Apply (Apply (>@#@$) p_0123456789876543210) (FromInteger 10))) (Apply (Apply (.@#@$) (Apply ShowStringSym0 "Pair ")) (Apply (Apply (.@#@$) (Apply (Apply ShowsPrecSym0 (FromInteger 11)) arg_0123456789876543210)) (Apply (Apply (.@#@$) ShowSpaceSym0) (Apply (Apply ShowsPrecSym0 (FromInteger 11)) arg_0123456789876543210))))) a_0123456789876543210+ type ShowsPrec_0123456789876543210Sym3 (a0123456789876543210 :: GHC.Types.Nat) (a0123456789876543210 :: Pair a0123456789876543210 b0123456789876543210) (a0123456789876543210 :: Symbol) =+ ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym2KindInference) ())+ data ShowsPrec_0123456789876543210Sym2 (a0123456789876543210 :: GHC.Types.Nat) (a0123456789876543210 :: Pair a0123456789876543210 b0123456789876543210) :: (~>) Symbol Symbol+ where+ ShowsPrec_0123456789876543210Sym2KindInference :: forall a0123456789876543210+ a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym3 a0123456789876543210 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym1KindInference) ())+ data ShowsPrec_0123456789876543210Sym1 (a0123456789876543210 :: GHC.Types.Nat) :: forall a0123456789876543210+ b0123456789876543210.+ (~>) (Pair a0123456789876543210 b0123456789876543210) ((~>) Symbol Symbol)+ where+ ShowsPrec_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym0KindInference) ())+ data ShowsPrec_0123456789876543210Sym0 :: forall a0123456789876543210+ b0123456789876543210.+ (~>) GHC.Types.Nat ((~>) (Pair a0123456789876543210 b0123456789876543210) ((~>) Symbol Symbol))+ where+ ShowsPrec_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>+ ShowsPrec_0123456789876543210Sym0 a0123456789876543210+ type instance Apply ShowsPrec_0123456789876543210Sym0 a0123456789876543210 = ShowsPrec_0123456789876543210Sym1 a0123456789876543210+ instance PShow (Pair a b) where+ type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a+ sAList :: Sing AListSym0+ sTuple :: Sing TupleSym0+ sComplex :: Sing ComplexSym0+ sPr :: Sing PrSym0+ sAList+ = (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SZero))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing ((singFun1 @SuccSym0) SSucc))+ ((applySing ((singFun1 @SuccSym0) SSucc)) SZero))))+ SNil))+ sTuple+ = (applySing+ ((applySing ((applySing ((singFun3 @Tuple3Sym0) STuple3)) SFalse))+ ((applySing ((singFun1 @JustSym0) SJust)) SZero)))+ STrue+ sComplex+ = (applySing+ ((applySing ((singFun2 @PairSym0) SPair))+ ((applySing+ ((applySing ((singFun2 @PairSym0) SPair))+ ((applySing ((singFun1 @JustSym0) SJust)) SZero)))+ SZero)))+ SFalse+ sPr+ = (applySing+ ((applySing ((singFun2 @PairSym0) SPair))+ ((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))+ ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SZero)) SNil)+ data instance Sing :: Pair a b -> GHC.Types.Type+ where+ SPair :: forall a b (n :: a) (n :: b).+ (Sing (n :: a)) -> (Sing (n :: b)) -> Sing (Pair n n)+ type SPair = (Sing :: Pair a b -> GHC.Types.Type)+ instance (SingKind a, SingKind b) => SingKind (Pair a b) where+ type Demote (Pair a b) = Pair (Demote a) (Demote b)+ fromSing (SPair b b) = (Pair (fromSing b)) (fromSing b)+ toSing (Pair (b :: Demote a) (b :: Demote b))+ = case ((,) (toSing b :: SomeSing a)) (toSing b :: SomeSing b) of {+ (,) (SomeSing c) (SomeSing c) -> SomeSing ((SPair c) c) }+ instance (SShow a, SShow b) => SShow (Pair a b) where+ sShowsPrec ::+ forall (t1 :: GHC.Types.Nat) (t2 :: Pair a b) (t3 :: Symbol).+ Sing t1+ -> Sing t2+ -> Sing t3+ -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun GHC.Types.Nat ((~>) (Pair a b) ((~>) Symbol Symbol))+ -> GHC.Types.Type) t1) t2) t3)+ sShowsPrec+ (sP_0123456789876543210 :: Sing p_0123456789876543210)+ (SPair (sArg_0123456789876543210 :: Sing arg_0123456789876543210)+ (sArg_0123456789876543210 :: Sing arg_0123456789876543210))+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing+ ((applySing ((singFun3 @ShowParenSym0) sShowParen))+ ((applySing+ ((applySing ((singFun2 @(>@#@$)) (%>))) sP_0123456789876543210))+ (sFromInteger (sing :: Sing 10)))))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "Pair "))))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((applySing+ ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))+ (sFromInteger (sing :: Sing 11))))+ sArg_0123456789876543210)))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((singFun1 @ShowSpaceSym0) sShowSpace)))+ ((applySing+ ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))+ (sFromInteger (sing :: Sing 11))))+ sArg_0123456789876543210))))))+ sA_0123456789876543210+ deriving instance (Data.Singletons.ShowSing.ShowSing a,+ Data.Singletons.ShowSing.ShowSing b) =>+ Show (Sing (z :: Pair a b))+ instance (SingI n, SingI n) => SingI (Pair (n :: a) (n :: b)) where+ sing = (SPair sing) sing+ instance SingI (PairSym0 :: (~>) a ((~>) b (Pair a b))) where+ sing = (singFun2 @PairSym0) SPair+ instance SingI (TyCon2 Pair :: (~>) a ((~>) b (Pair a b))) where+ sing = (singFun2 @(TyCon2 Pair)) SPair+ instance SingI d =>+ SingI (PairSym1 (d :: a) :: (~>) b (Pair a b)) where+ sing = (singFun1 @(PairSym1 (d :: a))) (SPair (sing @d))+ instance SingI d =>+ SingI (TyCon1 (Pair (d :: a)) :: (~>) b (Pair a b)) where+ sing = (singFun1 @(TyCon1 (Pair (d :: a)))) (SPair (sing @d))+Singletons/PatternMatching.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| Pair sz lz = pr+ Pair (Pair jz zz) fls = complex+ (tf, tjz, tt) = tuple+ [_, lsz, (Succ blimy)] = aList+ lsz :: Nat+ fls :: Bool+ foo1 :: (a, b) -> a+ foo1 (x, y) = (\ _ -> x) y+ foo2 :: (# a, b #) -> a+ foo2 t@(# x, y #) = case t of { (# a, b #) -> (\ _ -> a) b }+ silly :: a -> ()+ silly x = case x of { _ -> () } |]+ ======>+ Pair sz lz = pr+ Pair (Pair jz zz) fls = complex+ (tf, tjz, tt) = tuple+ [_, lsz, Succ blimy] = aList+ lsz :: Nat+ fls :: Bool+ foo1 :: (a, b) -> a+ foo1 (x, y) = (\ _ -> x) y+ foo2 :: (# a, b #) -> a+ foo2 t@(# x, y #) = case t of { (# a, b #) -> (\ _ -> a) b }+ silly :: a -> ()+ silly x = case x of { _ -> () }+ type family Case_0123456789876543210 x t where+ Case_0123456789876543210 x _ = Tuple0Sym0+ type Let0123456789876543210TSym2 x0123456789876543210 y0123456789876543210 =+ Let0123456789876543210T x0123456789876543210 y0123456789876543210+ instance SuppressUnusedWarnings (Let0123456789876543210TSym1 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210TSym1KindInference) ())+ data Let0123456789876543210TSym1 x0123456789876543210 y0123456789876543210+ where+ Let0123456789876543210TSym1KindInference :: forall x0123456789876543210+ y0123456789876543210+ arg. SameKind (Apply (Let0123456789876543210TSym1 x0123456789876543210) arg) (Let0123456789876543210TSym2 x0123456789876543210 arg) =>+ Let0123456789876543210TSym1 x0123456789876543210 y0123456789876543210+ type instance Apply (Let0123456789876543210TSym1 x0123456789876543210) y0123456789876543210 = Let0123456789876543210T x0123456789876543210 y0123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210TSym0 where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210TSym0KindInference) ())+ data Let0123456789876543210TSym0 x0123456789876543210+ where+ Let0123456789876543210TSym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Let0123456789876543210TSym0 arg) (Let0123456789876543210TSym1 arg) =>+ Let0123456789876543210TSym0 x0123456789876543210+ type instance Apply Let0123456789876543210TSym0 x0123456789876543210 = Let0123456789876543210TSym1 x0123456789876543210+ type family Let0123456789876543210T x y where+ Let0123456789876543210T x y = Apply (Apply Tuple2Sym0 x) y+ type family Case_0123456789876543210 x y a b arg_0123456789876543210 t where+ Case_0123456789876543210 x y a b arg_0123456789876543210 _ = a+ type family Lambda_0123456789876543210 x y a b t where+ Lambda_0123456789876543210 x y a b arg_0123456789876543210 = Case_0123456789876543210 x y a b arg_0123456789876543210 arg_0123456789876543210+ type Lambda_0123456789876543210Sym5 x0123456789876543210 y0123456789876543210 a0123456789876543210 b0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 x0123456789876543210 y0123456789876543210 a0123456789876543210 b0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym4 b0123456789876543210 a0123456789876543210 y0123456789876543210 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym4KindInference) ())+ data Lambda_0123456789876543210Sym4 x0123456789876543210 y0123456789876543210 a0123456789876543210 b0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym4KindInference :: forall x0123456789876543210+ y0123456789876543210+ a0123456789876543210+ b0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym4 x0123456789876543210 y0123456789876543210 a0123456789876543210 b0123456789876543210) arg) (Lambda_0123456789876543210Sym5 x0123456789876543210 y0123456789876543210 a0123456789876543210 b0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym4 x0123456789876543210 y0123456789876543210 a0123456789876543210 b0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym4 b0123456789876543210 a0123456789876543210 y0123456789876543210 x0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 b0123456789876543210 a0123456789876543210 y0123456789876543210 x0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym3 a0123456789876543210 y0123456789876543210 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym3KindInference) ())+ data Lambda_0123456789876543210Sym3 x0123456789876543210 y0123456789876543210 a0123456789876543210 b0123456789876543210+ where+ Lambda_0123456789876543210Sym3KindInference :: forall x0123456789876543210+ y0123456789876543210+ a0123456789876543210+ b0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym3 x0123456789876543210 y0123456789876543210 a0123456789876543210) arg) (Lambda_0123456789876543210Sym4 x0123456789876543210 y0123456789876543210 a0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym3 x0123456789876543210 y0123456789876543210 a0123456789876543210 b0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym3 a0123456789876543210 y0123456789876543210 x0123456789876543210) b0123456789876543210 = Lambda_0123456789876543210Sym4 a0123456789876543210 y0123456789876543210 x0123456789876543210 b0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 y0123456789876543210 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 x0123456789876543210 y0123456789876543210 a0123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall x0123456789876543210+ y0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 x0123456789876543210 y0123456789876543210) arg) (Lambda_0123456789876543210Sym3 x0123456789876543210 y0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 x0123456789876543210 y0123456789876543210 a0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 y0123456789876543210 x0123456789876543210) a0123456789876543210 = Lambda_0123456789876543210Sym3 y0123456789876543210 x0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 x0123456789876543210 y0123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall x0123456789876543210+ y0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 x0123456789876543210) arg) (Lambda_0123456789876543210Sym2 x0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 x0123456789876543210 y0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 x0123456789876543210) y0123456789876543210 = Lambda_0123456789876543210Sym2 x0123456789876543210 y0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 x0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 x0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 x0123456789876543210 = Lambda_0123456789876543210Sym1 x0123456789876543210+ type family Case_0123456789876543210 x y t where+ Case_0123456789876543210 x y '(a,+ b) = Apply (Apply (Apply (Apply (Apply Lambda_0123456789876543210Sym0 x) y) a) b) b+ type family Case_0123456789876543210 x y arg_0123456789876543210 t where+ Case_0123456789876543210 x y arg_0123456789876543210 _ = x+ type family Lambda_0123456789876543210 x y t where+ Lambda_0123456789876543210 x y arg_0123456789876543210 = Case_0123456789876543210 x y arg_0123456789876543210 arg_0123456789876543210+ type Lambda_0123456789876543210Sym3 x0123456789876543210 y0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 x0123456789876543210 y0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 y0123456789876543210 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 x0123456789876543210 y0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall x0123456789876543210+ y0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 x0123456789876543210 y0123456789876543210) arg) (Lambda_0123456789876543210Sym3 x0123456789876543210 y0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 x0123456789876543210 y0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 y0123456789876543210 x0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 y0123456789876543210 x0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 x0123456789876543210 y0123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall x0123456789876543210+ y0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 x0123456789876543210) arg) (Lambda_0123456789876543210Sym2 x0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 x0123456789876543210 y0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 x0123456789876543210) y0123456789876543210 = Lambda_0123456789876543210Sym2 x0123456789876543210 y0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 x0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 x0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 x0123456789876543210 = Lambda_0123456789876543210Sym1 x0123456789876543210+ type family Case_0123456789876543210 t where+ Case_0123456789876543210 '[_,+ y_0123456789876543210,+ 'Succ _] = y_0123456789876543210+ type family Case_0123456789876543210 t where+ Case_0123456789876543210 '[_,+ _,+ 'Succ y_0123456789876543210] = y_0123456789876543210+ type family Case_0123456789876543210 t where+ Case_0123456789876543210 '(y_0123456789876543210,+ _,+ _) = y_0123456789876543210+ type family Case_0123456789876543210 t where+ Case_0123456789876543210 '(_,+ y_0123456789876543210,+ _) = y_0123456789876543210+ type family Case_0123456789876543210 t where+ Case_0123456789876543210 '(_,+ _,+ y_0123456789876543210) = y_0123456789876543210+ type family Case_0123456789876543210 t where+ Case_0123456789876543210 ( 'Pair ( 'Pair y_0123456789876543210 _) _) = y_0123456789876543210+ type family Case_0123456789876543210 t where+ Case_0123456789876543210 ( 'Pair ( 'Pair _ y_0123456789876543210) _) = y_0123456789876543210+ type family Case_0123456789876543210 t where+ Case_0123456789876543210 ( 'Pair ( 'Pair _ _) y_0123456789876543210) = y_0123456789876543210+ type family Case_0123456789876543210 t where+ Case_0123456789876543210 ( 'Pair y_0123456789876543210 _) = y_0123456789876543210+ type family Case_0123456789876543210 t where+ Case_0123456789876543210 ( 'Pair _ y_0123456789876543210) = y_0123456789876543210+ type SillySym1 (a0123456789876543210 :: a0123456789876543210) =+ Silly a0123456789876543210+ instance SuppressUnusedWarnings SillySym0 where+ suppressUnusedWarnings = snd (((,) SillySym0KindInference) ())+ data SillySym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 ()+ where+ SillySym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply SillySym0 arg) (SillySym1 arg) =>+ SillySym0 a0123456789876543210+ type instance Apply SillySym0 a0123456789876543210 = Silly a0123456789876543210+ type Foo2Sym1 (a0123456789876543210 :: (a0123456789876543210,+ b0123456789876543210)) =+ Foo2 a0123456789876543210+ instance SuppressUnusedWarnings Foo2Sym0 where+ suppressUnusedWarnings = snd (((,) Foo2Sym0KindInference) ())+ data Foo2Sym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) (a0123456789876543210,+ b0123456789876543210) a0123456789876543210+ where+ Foo2Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo2Sym0 arg) (Foo2Sym1 arg) =>+ Foo2Sym0 a0123456789876543210+ type instance Apply Foo2Sym0 a0123456789876543210 = Foo2 a0123456789876543210+ type Foo1Sym1 (a0123456789876543210 :: (a0123456789876543210,+ b0123456789876543210)) =+ Foo1 a0123456789876543210+ instance SuppressUnusedWarnings Foo1Sym0 where+ suppressUnusedWarnings = snd (((,) Foo1Sym0KindInference) ())+ data Foo1Sym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) (a0123456789876543210,+ b0123456789876543210) a0123456789876543210+ where+ Foo1Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo1Sym0 arg) (Foo1Sym1 arg) =>+ Foo1Sym0 a0123456789876543210+ type instance Apply Foo1Sym0 a0123456789876543210 = Foo1 a0123456789876543210+ type LszSym0 = Lsz+ type BlimySym0 = Blimy+ type TfSym0 = Tf+ type TjzSym0 = Tjz+ type TtSym0 = Tt+ type JzSym0 = Jz+ type ZzSym0 = Zz+ type FlsSym0 = Fls+ type SzSym0 = Sz+ type LzSym0 = Lz+ type X_0123456789876543210Sym0 = X_0123456789876543210+ type X_0123456789876543210Sym0 = X_0123456789876543210+ type X_0123456789876543210Sym0 = X_0123456789876543210+ type X_0123456789876543210Sym0 = X_0123456789876543210+ type family Silly (a :: a) :: () where+ Silly x = Case_0123456789876543210 x x+ type family Foo2 (a :: (a, b)) :: a where+ Foo2 '(x,+ y) = Case_0123456789876543210 x y (Let0123456789876543210TSym2 x y)+ type family Foo1 (a :: (a, b)) :: a where+ Foo1 '(x,+ y) = Apply (Apply (Apply Lambda_0123456789876543210Sym0 x) y) y+ type family Lsz :: Nat where+ Lsz = Case_0123456789876543210 X_0123456789876543210Sym0+ type family Blimy where+ Blimy = Case_0123456789876543210 X_0123456789876543210Sym0+ type family Tf where+ Tf = Case_0123456789876543210 X_0123456789876543210Sym0+ type family Tjz where+ Tjz = Case_0123456789876543210 X_0123456789876543210Sym0+ type family Tt where+ Tt = Case_0123456789876543210 X_0123456789876543210Sym0+ type family Jz where+ Jz = Case_0123456789876543210 X_0123456789876543210Sym0+ type family Zz where+ Zz = Case_0123456789876543210 X_0123456789876543210Sym0+ type family Fls :: Bool where+ Fls = Case_0123456789876543210 X_0123456789876543210Sym0+ type family Sz where+ Sz = Case_0123456789876543210 X_0123456789876543210Sym0+ type family Lz where+ Lz = Case_0123456789876543210 X_0123456789876543210Sym0+ type family X_0123456789876543210 where+ X_0123456789876543210 = PrSym0+ type family X_0123456789876543210 where+ X_0123456789876543210 = ComplexSym0+ type family X_0123456789876543210 where+ X_0123456789876543210 = TupleSym0+ type family X_0123456789876543210 where+ X_0123456789876543210 = AListSym0+ sSilly ::+ forall a (t :: a). Sing t -> Sing (Apply SillySym0 t :: ())+ sFoo2 ::+ forall a b (t :: (a, b)). Sing t -> Sing (Apply Foo2Sym0 t :: a)+ sFoo1 ::+ forall a b (t :: (a, b)). Sing t -> Sing (Apply Foo1Sym0 t :: a)+ sLsz :: Sing (LszSym0 :: Nat)+ sBlimy :: Sing BlimySym0+ sTf :: Sing TfSym0+ sTjz :: Sing TjzSym0+ sTt :: Sing TtSym0+ sJz :: Sing JzSym0+ sZz :: Sing ZzSym0+ sFls :: Sing (FlsSym0 :: Bool)+ sSz :: Sing SzSym0+ sLz :: Sing LzSym0+ sX_0123456789876543210 :: Sing X_0123456789876543210Sym0+ sX_0123456789876543210 :: Sing X_0123456789876543210Sym0+ sX_0123456789876543210 :: Sing X_0123456789876543210Sym0+ sX_0123456789876543210 :: Sing X_0123456789876543210Sym0+ sSilly (sX :: Sing x)+ = (case sX of { _ -> STuple0 }) ::+ Sing (Case_0123456789876543210 x x :: ())+ sFoo2 (STuple2 (sX :: Sing x) (sY :: Sing y))+ = let+ sT :: Sing (Let0123456789876543210TSym2 x y)+ sT+ = (applySing ((applySing ((singFun2 @Tuple2Sym0) STuple2)) sX)) sY+ in (case sT of {+ STuple2 (sA :: Sing a) (sB :: Sing b)+ -> (applySing+ ((singFun1+ @(Apply (Apply (Apply (Apply Lambda_0123456789876543210Sym0 x) y) a) b))+ (\ sArg_0123456789876543210+ -> case sArg_0123456789876543210 of {+ (_ :: Sing arg_0123456789876543210)+ -> (case sArg_0123456789876543210 of { _ -> sA }) ::+ Sing (Case_0123456789876543210 x y a b arg_0123456789876543210 arg_0123456789876543210) })))+ sB }) ::+ Sing (Case_0123456789876543210 x y (Let0123456789876543210TSym2 x y) :: a)+ sFoo1 (STuple2 (sX :: Sing x) (sY :: Sing y))+ = (applySing+ ((singFun1 @(Apply (Apply Lambda_0123456789876543210Sym0 x) y))+ (\ sArg_0123456789876543210+ -> case sArg_0123456789876543210 of {+ (_ :: Sing arg_0123456789876543210)+ -> (case sArg_0123456789876543210 of { _ -> sX }) ::+ Sing (Case_0123456789876543210 x y arg_0123456789876543210 arg_0123456789876543210) })))+ sY+ sLsz+ = (case sX_0123456789876543210 of {+ SCons _+ (SCons (sY_0123456789876543210 :: Sing y_0123456789876543210)+ (SCons (SSucc _) SNil))+ -> sY_0123456789876543210 }) ::+ Sing (Case_0123456789876543210 X_0123456789876543210Sym0 :: Nat)+ sBlimy+ = (case sX_0123456789876543210 of {+ SCons _+ (SCons _+ (SCons (SSucc (sY_0123456789876543210 :: Sing y_0123456789876543210))+ SNil))+ -> sY_0123456789876543210 }) ::+ Sing (Case_0123456789876543210 X_0123456789876543210Sym0)+ sTf+ = (case sX_0123456789876543210 of {+ STuple3 (sY_0123456789876543210 :: Sing y_0123456789876543210) _ _+ -> sY_0123456789876543210 }) ::+ Sing (Case_0123456789876543210 X_0123456789876543210Sym0)+ sTjz+ = (case sX_0123456789876543210 of {+ STuple3 _ (sY_0123456789876543210 :: Sing y_0123456789876543210) _+ -> sY_0123456789876543210 }) ::+ Sing (Case_0123456789876543210 X_0123456789876543210Sym0)+ sTt+ = (case sX_0123456789876543210 of {+ STuple3 _ _ (sY_0123456789876543210 :: Sing y_0123456789876543210)+ -> sY_0123456789876543210 }) ::+ Sing (Case_0123456789876543210 X_0123456789876543210Sym0)+ sJz+ = (case sX_0123456789876543210 of {+ SPair (SPair (sY_0123456789876543210 :: Sing y_0123456789876543210)+ _)+ _+ -> sY_0123456789876543210 }) ::+ Sing (Case_0123456789876543210 X_0123456789876543210Sym0)+ sZz+ = (case sX_0123456789876543210 of {+ SPair (SPair _+ (sY_0123456789876543210 :: Sing y_0123456789876543210))+ _+ -> sY_0123456789876543210 }) ::+ Sing (Case_0123456789876543210 X_0123456789876543210Sym0)+ sFls+ = (case sX_0123456789876543210 of {+ SPair (SPair _ _)+ (sY_0123456789876543210 :: Sing y_0123456789876543210)+ -> sY_0123456789876543210 }) ::+ Sing (Case_0123456789876543210 X_0123456789876543210Sym0 :: Bool)+ sSz+ = (case sX_0123456789876543210 of {+ SPair (sY_0123456789876543210 :: Sing y_0123456789876543210) _+ -> sY_0123456789876543210 }) ::+ Sing (Case_0123456789876543210 X_0123456789876543210Sym0)+ sLz+ = (case sX_0123456789876543210 of {+ SPair _ (sY_0123456789876543210 :: Sing y_0123456789876543210)+ -> sY_0123456789876543210 }) ::+ Sing (Case_0123456789876543210 X_0123456789876543210Sym0)+ sX_0123456789876543210 = sPr+ sX_0123456789876543210 = sComplex+ sX_0123456789876543210 = sTuple+ sX_0123456789876543210 = sAList+ instance SingI (SillySym0 :: (~>) a ()) where+ sing = (singFun1 @SillySym0) sSilly+ instance SingI (Foo2Sym0 :: (~>) (a, b) a) where+ sing = (singFun1 @Foo2Sym0) sFoo2+ instance SingI (Foo1Sym0 :: (~>) (a, b) a) where+ sing = (singFun1 @Foo1Sym0) sFoo1
− tests/compile-and-dump/Singletons/PolyKinds.ghc84.template
@@ -1,22 +0,0 @@-Singletons/PolyKinds.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| class Cls (a :: k) where- fff :: Proxy (a :: k) -> () |]- ======>- class Cls (a :: k) where- fff :: Proxy (a :: k) -> ()- type FffSym1 (t :: Proxy (a0123456789876543210 :: k0123456789876543210)) =- Fff t- instance SuppressUnusedWarnings FffSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) FffSym0KindInference) GHC.Tuple.())- data FffSym0 (l :: TyFun (Proxy (a0123456789876543210 :: k0123456789876543210)) ())- = forall arg. SameKind (Apply FffSym0 arg) (FffSym1 arg) =>- FffSym0KindInference- type instance Apply FffSym0 l = Fff l- class PCls (a :: k) where- type Fff (arg :: Proxy (a :: k)) :: ()- class SCls (a :: k) where- sFff ::- forall (t :: Proxy (a :: k)).- Sing t -> Sing (Apply FffSym0 t :: ())
+ tests/compile-and-dump/Singletons/PolyKinds.ghc86.template view
@@ -0,0 +1,28 @@+Singletons/PolyKinds.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| class Cls (a :: k) where+ fff :: Proxy (a :: k) -> () |]+ ======>+ class Cls (a :: k) where+ fff :: Proxy (a :: k) -> ()+ type FffSym1 (arg0123456789876543210 :: Proxy (a0123456789876543210 :: k0123456789876543210)) =+ Fff arg0123456789876543210+ instance SuppressUnusedWarnings FffSym0 where+ suppressUnusedWarnings = snd (((,) FffSym0KindInference) ())+ data FffSym0 :: forall k0123456789876543210+ (a0123456789876543210 :: k0123456789876543210).+ (~>) (Proxy (a0123456789876543210 :: k0123456789876543210)) ()+ where+ FffSym0KindInference :: forall arg0123456789876543210+ arg. SameKind (Apply FffSym0 arg) (FffSym1 arg) =>+ FffSym0 arg0123456789876543210+ type instance Apply FffSym0 arg0123456789876543210 = Fff arg0123456789876543210+ class PCls (a :: k) where+ type Fff (arg :: Proxy (a :: k)) :: ()+ class SCls (a :: k) where+ sFff ::+ forall (t :: Proxy (a :: k)).+ Sing t -> Sing (Apply FffSym0 t :: ())+ instance SCls a =>+ SingI (FffSym0 :: (~>) (Proxy (a :: k)) ()) where+ sing = (singFun1 @FffSym0) sFff
− tests/compile-and-dump/Singletons/PolyKindsApp.ghc84.template
@@ -1,12 +0,0 @@-Singletons/PolyKindsApp.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| class Cls (a :: k -> Type) where- fff :: (a :: k -> Type) (b :: k) |]- ======>- class Cls (a :: k -> Type) where- fff :: (a :: k -> Type) (b :: k)- type FffSym0 = Fff- class PCls (a :: k -> Type) where- type Fff :: (a :: k -> Type) (b :: k)- class SCls (a :: k -> Type) where- sFff :: Sing (FffSym0 :: (a :: k -> Type) (b :: k))
+ tests/compile-and-dump/Singletons/PolyKindsApp.ghc86.template view
@@ -0,0 +1,12 @@+Singletons/PolyKindsApp.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| class Cls (a :: k -> Type) where+ fff :: (a :: k -> Type) (b :: k) |]+ ======>+ class Cls (a :: k -> Type) where+ fff :: (a :: k -> Type) (b :: k)+ type FffSym0 = Fff+ class PCls (a :: k -> Type) where+ type Fff :: (a :: k -> Type) (b :: k)+ class SCls (a :: k -> Type) where+ sFff :: forall b. Sing (FffSym0 :: (a :: k -> Type) (b :: k))
tests/compile-and-dump/Singletons/PolyKindsApp.hs view
@@ -1,6 +1,6 @@ module Singletons.PolyKindsApp where -import Data.Kind+import Data.Kind (Type) import Data.Singletons.TH $(singletons [d|
− tests/compile-and-dump/Singletons/Records.ghc84.template
@@ -1,61 +0,0 @@-Singletons/Records.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| data Record a = MkRecord {field1 :: a, field2 :: Bool} |]- ======>- data Record a = MkRecord {field1 :: a, field2 :: Bool}- type Field1Sym1 (t :: Record a0123456789876543210) = Field1 t- instance SuppressUnusedWarnings Field1Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Field1Sym0KindInference) GHC.Tuple.())- data Field1Sym0 (l :: TyFun (Record a0123456789876543210) a0123456789876543210)- = forall arg. SameKind (Apply Field1Sym0 arg) (Field1Sym1 arg) =>- Field1Sym0KindInference- type instance Apply Field1Sym0 l = Field1 l- type Field2Sym1 (t :: Record a0123456789876543210) = Field2 t- instance SuppressUnusedWarnings Field2Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Field2Sym0KindInference) GHC.Tuple.())- data Field2Sym0 (l :: TyFun (Record a0123456789876543210) Bool)- = forall arg. SameKind (Apply Field2Sym0 arg) (Field2Sym1 arg) =>- Field2Sym0KindInference- type instance Apply Field2Sym0 l = Field2 l- type family Field1 (a :: Record a) :: a where- Field1 (MkRecord field _) = field- type family Field2 (a :: Record a) :: Bool where- Field2 (MkRecord _ field) = field- type MkRecordSym2 (t :: a0123456789876543210) (t :: Bool) =- MkRecord t t- instance SuppressUnusedWarnings MkRecordSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) MkRecordSym1KindInference) GHC.Tuple.())- data MkRecordSym1 (l :: a0123456789876543210) (l :: TyFun Bool (Record a0123456789876543210))- = forall arg. SameKind (Apply (MkRecordSym1 l) arg) (MkRecordSym2 l arg) =>- MkRecordSym1KindInference- type instance Apply (MkRecordSym1 l) l = MkRecord l l- instance SuppressUnusedWarnings MkRecordSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) MkRecordSym0KindInference) GHC.Tuple.())- data MkRecordSym0 (l :: TyFun a0123456789876543210 (TyFun Bool (Record a0123456789876543210)- -> GHC.Types.Type))- = forall arg. SameKind (Apply MkRecordSym0 arg) (MkRecordSym1 arg) =>- MkRecordSym0KindInference- type instance Apply MkRecordSym0 l = MkRecordSym1 l- data instance Sing (z :: Record a)- where- SMkRecord :: forall (n :: a) (n :: Bool).- {sField1 :: (Sing (n :: a)), sField2 :: (Sing (n :: Bool))}- -> Sing (MkRecord n n)- type SRecord = (Sing :: Record a -> GHC.Types.Type)- instance SingKind a => SingKind (Record a) where- type Demote (Record a) = Record (Demote a)- fromSing (SMkRecord b b) = (MkRecord (fromSing b)) (fromSing b)- toSing (MkRecord (b :: Demote a) (b :: Demote Bool))- = case- (GHC.Tuple.(,) (toSing b :: SomeSing a))- (toSing b :: SomeSing Bool)- of {- GHC.Tuple.(,) (SomeSing c) (SomeSing c)- -> SomeSing ((SMkRecord c) c) }- instance (SingI n, SingI n) =>- SingI (MkRecord (n :: a) (n :: Bool)) where- sing = (SMkRecord sing) sing
+ tests/compile-and-dump/Singletons/Records.ghc86.template view
@@ -0,0 +1,79 @@+Singletons/Records.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| data Record a = MkRecord {field1 :: a, field2 :: Bool} |]+ ======>+ data Record a = MkRecord {field1 :: a, field2 :: Bool}+ type Field1Sym1 (a0123456789876543210 :: Record a0123456789876543210) =+ Field1 a0123456789876543210+ instance SuppressUnusedWarnings Field1Sym0 where+ suppressUnusedWarnings = snd (((,) Field1Sym0KindInference) ())+ data Field1Sym0 :: forall a0123456789876543210.+ (~>) (Record a0123456789876543210) a0123456789876543210+ where+ Field1Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Field1Sym0 arg) (Field1Sym1 arg) =>+ Field1Sym0 a0123456789876543210+ type instance Apply Field1Sym0 a0123456789876543210 = Field1 a0123456789876543210+ type Field2Sym1 (a0123456789876543210 :: Record a0123456789876543210) =+ Field2 a0123456789876543210+ instance SuppressUnusedWarnings Field2Sym0 where+ suppressUnusedWarnings = snd (((,) Field2Sym0KindInference) ())+ data Field2Sym0 :: forall a0123456789876543210.+ (~>) (Record a0123456789876543210) Bool+ where+ Field2Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Field2Sym0 arg) (Field2Sym1 arg) =>+ Field2Sym0 a0123456789876543210+ type instance Apply Field2Sym0 a0123456789876543210 = Field2 a0123456789876543210+ type family Field1 (a :: Record a) :: a where+ Field1 (MkRecord field _) = field+ type family Field2 (a :: Record a) :: Bool where+ Field2 (MkRecord _ field) = field+ type MkRecordSym2 (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: Bool) =+ MkRecord t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (MkRecordSym1 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) MkRecordSym1KindInference) ())+ data MkRecordSym1 (t0123456789876543210 :: a0123456789876543210) :: (~>) Bool (Record a0123456789876543210)+ where+ MkRecordSym1KindInference :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (MkRecordSym1 t0123456789876543210) arg) (MkRecordSym2 t0123456789876543210 arg) =>+ MkRecordSym1 t0123456789876543210 t0123456789876543210+ type instance Apply (MkRecordSym1 t0123456789876543210) t0123456789876543210 = MkRecord t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings MkRecordSym0 where+ suppressUnusedWarnings = snd (((,) MkRecordSym0KindInference) ())+ data MkRecordSym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 ((~>) Bool (Record a0123456789876543210))+ where+ MkRecordSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply MkRecordSym0 arg) (MkRecordSym1 arg) =>+ MkRecordSym0 t0123456789876543210+ type instance Apply MkRecordSym0 t0123456789876543210 = MkRecordSym1 t0123456789876543210+ data instance Sing :: Record a -> GHC.Types.Type+ where+ SMkRecord :: forall a (n :: a) (n :: Bool).+ {sField1 :: (Sing (n :: a)), sField2 :: (Sing (n :: Bool))}+ -> Sing (MkRecord n n)+ type SRecord = (Sing :: Record a -> GHC.Types.Type)+ instance SingKind a => SingKind (Record a) where+ type Demote (Record a) = Record (Demote a)+ fromSing (SMkRecord b b) = (MkRecord (fromSing b)) (fromSing b)+ toSing (MkRecord (b :: Demote a) (b :: Demote Bool))+ = case+ ((,) (toSing b :: SomeSing a)) (toSing b :: SomeSing Bool)+ of {+ (,) (SomeSing c) (SomeSing c) -> SomeSing ((SMkRecord c) c) }+ instance (SingI n, SingI n) =>+ SingI (MkRecord (n :: a) (n :: Bool)) where+ sing = (SMkRecord sing) sing+ instance SingI (MkRecordSym0 :: (~>) a ((~>) Bool (Record a))) where+ sing = (singFun2 @MkRecordSym0) SMkRecord+ instance SingI (TyCon2 MkRecord :: (~>) a ((~>) Bool (Record a))) where+ sing = (singFun2 @(TyCon2 MkRecord)) SMkRecord+ instance SingI d =>+ SingI (MkRecordSym1 (d :: a) :: (~>) Bool (Record a)) where+ sing = (singFun1 @(MkRecordSym1 (d :: a))) (SMkRecord (sing @d))+ instance SingI d =>+ SingI (TyCon1 (MkRecord (d :: a)) :: (~>) Bool (Record a)) where+ sing+ = (singFun1 @(TyCon1 (MkRecord (d :: a)))) (SMkRecord (sing @d))
tests/compile-and-dump/Singletons/Records.hs view
@@ -1,4 +1,3 @@-{-# OPTIONS_GHC -Wno-unused-imports #-} module Singletons.Records where import Data.Singletons.SuppressUnusedWarnings
− tests/compile-and-dump/Singletons/ReturnFunc.ghc84.template
@@ -1,76 +0,0 @@-Singletons/ReturnFunc.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| returnFunc :: Nat -> Nat -> Nat- returnFunc _ = Succ- id :: a -> a- id x = x- idFoo :: c -> a -> a- idFoo _ = id |]- ======>- returnFunc :: Nat -> Nat -> Nat- returnFunc _ = Succ- id :: a -> a- id x = x- idFoo :: c -> a -> a- idFoo _ = id- type IdSym1 (t :: a0123456789876543210) = Id t- instance SuppressUnusedWarnings IdSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) IdSym0KindInference) GHC.Tuple.())- data IdSym0 (l :: TyFun a0123456789876543210 a0123456789876543210)- = forall arg. SameKind (Apply IdSym0 arg) (IdSym1 arg) =>- IdSym0KindInference- type instance Apply IdSym0 l = Id l- type IdFooSym2 (t :: c0123456789876543210) (t :: a0123456789876543210) =- IdFoo t t- instance SuppressUnusedWarnings IdFooSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) IdFooSym1KindInference) GHC.Tuple.())- data IdFooSym1 (l :: c0123456789876543210) (l :: TyFun a0123456789876543210 a0123456789876543210)- = forall arg. SameKind (Apply (IdFooSym1 l) arg) (IdFooSym2 l arg) =>- IdFooSym1KindInference- type instance Apply (IdFooSym1 l) l = IdFoo l l- instance SuppressUnusedWarnings IdFooSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) IdFooSym0KindInference) GHC.Tuple.())- data IdFooSym0 (l :: TyFun c0123456789876543210 (TyFun a0123456789876543210 a0123456789876543210- -> GHC.Types.Type))- = forall arg. SameKind (Apply IdFooSym0 arg) (IdFooSym1 arg) =>- IdFooSym0KindInference- type instance Apply IdFooSym0 l = IdFooSym1 l- type ReturnFuncSym2 (t :: Nat) (t :: Nat) = ReturnFunc t t- instance SuppressUnusedWarnings ReturnFuncSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) ReturnFuncSym1KindInference) GHC.Tuple.())- data ReturnFuncSym1 (l :: Nat) (l :: TyFun Nat Nat)- = forall arg. SameKind (Apply (ReturnFuncSym1 l) arg) (ReturnFuncSym2 l arg) =>- ReturnFuncSym1KindInference- type instance Apply (ReturnFuncSym1 l) l = ReturnFunc l l- instance SuppressUnusedWarnings ReturnFuncSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) ReturnFuncSym0KindInference) GHC.Tuple.())- data ReturnFuncSym0 (l :: TyFun Nat (TyFun Nat Nat- -> GHC.Types.Type))- = forall arg. SameKind (Apply ReturnFuncSym0 arg) (ReturnFuncSym1 arg) =>- ReturnFuncSym0KindInference- type instance Apply ReturnFuncSym0 l = ReturnFuncSym1 l- type family Id (a :: a) :: a where- Id x = x- type family IdFoo (a :: c) (a :: a) :: a where- IdFoo _ a_0123456789876543210 = Apply IdSym0 a_0123456789876543210- type family ReturnFunc (a :: Nat) (a :: Nat) :: Nat where- ReturnFunc _ a_0123456789876543210 = Apply SuccSym0 a_0123456789876543210- sId :: forall (t :: a). Sing t -> Sing (Apply IdSym0 t :: a)- sIdFoo ::- forall (t :: c) (t :: a).- Sing t -> Sing t -> Sing (Apply (Apply IdFooSym0 t) t :: a)- sReturnFunc ::- forall (t :: Nat) (t :: Nat).- Sing t -> Sing t -> Sing (Apply (Apply ReturnFuncSym0 t) t :: Nat)- sId (sX :: Sing x) = sX- sIdFoo _ (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing ((singFun1 @IdSym0) sId)) sA_0123456789876543210- sReturnFunc- _- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing ((singFun1 @SuccSym0) SSucc)) sA_0123456789876543210
+ tests/compile-and-dump/Singletons/ReturnFunc.ghc86.template view
@@ -0,0 +1,98 @@+Singletons/ReturnFunc.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| returnFunc :: Nat -> Nat -> Nat+ returnFunc _ = Succ+ id :: a -> a+ id x = x+ idFoo :: c -> a -> a+ idFoo _ = id |]+ ======>+ returnFunc :: Nat -> Nat -> Nat+ returnFunc _ = Succ+ id :: a -> a+ id x = x+ idFoo :: c -> a -> a+ idFoo _ = id+ type IdSym1 (a0123456789876543210 :: a0123456789876543210) =+ Id a0123456789876543210+ instance SuppressUnusedWarnings IdSym0 where+ suppressUnusedWarnings = snd (((,) IdSym0KindInference) ())+ data IdSym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 a0123456789876543210+ where+ IdSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply IdSym0 arg) (IdSym1 arg) =>+ IdSym0 a0123456789876543210+ type instance Apply IdSym0 a0123456789876543210 = Id a0123456789876543210+ type IdFooSym2 (a0123456789876543210 :: c0123456789876543210) (a0123456789876543210 :: a0123456789876543210) =+ IdFoo a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (IdFooSym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) IdFooSym1KindInference) ())+ data IdFooSym1 (a0123456789876543210 :: c0123456789876543210) :: forall a0123456789876543210.+ (~>) a0123456789876543210 a0123456789876543210+ where+ IdFooSym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (IdFooSym1 a0123456789876543210) arg) (IdFooSym2 a0123456789876543210 arg) =>+ IdFooSym1 a0123456789876543210 a0123456789876543210+ type instance Apply (IdFooSym1 a0123456789876543210) a0123456789876543210 = IdFoo a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings IdFooSym0 where+ suppressUnusedWarnings = snd (((,) IdFooSym0KindInference) ())+ data IdFooSym0 :: forall a0123456789876543210 c0123456789876543210.+ (~>) c0123456789876543210 ((~>) a0123456789876543210 a0123456789876543210)+ where+ IdFooSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply IdFooSym0 arg) (IdFooSym1 arg) =>+ IdFooSym0 a0123456789876543210+ type instance Apply IdFooSym0 a0123456789876543210 = IdFooSym1 a0123456789876543210+ type ReturnFuncSym2 (a0123456789876543210 :: Nat) (a0123456789876543210 :: Nat) =+ ReturnFunc a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ReturnFuncSym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) ReturnFuncSym1KindInference) ())+ data ReturnFuncSym1 (a0123456789876543210 :: Nat) :: (~>) Nat Nat+ where+ ReturnFuncSym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ReturnFuncSym1 a0123456789876543210) arg) (ReturnFuncSym2 a0123456789876543210 arg) =>+ ReturnFuncSym1 a0123456789876543210 a0123456789876543210+ type instance Apply (ReturnFuncSym1 a0123456789876543210) a0123456789876543210 = ReturnFunc a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ReturnFuncSym0 where+ suppressUnusedWarnings = snd (((,) ReturnFuncSym0KindInference) ())+ data ReturnFuncSym0 :: (~>) Nat ((~>) Nat Nat)+ where+ ReturnFuncSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply ReturnFuncSym0 arg) (ReturnFuncSym1 arg) =>+ ReturnFuncSym0 a0123456789876543210+ type instance Apply ReturnFuncSym0 a0123456789876543210 = ReturnFuncSym1 a0123456789876543210+ type family Id (a :: a) :: a where+ Id x = x+ type family IdFoo (a :: c) (a :: a) :: a where+ IdFoo _ a_0123456789876543210 = Apply IdSym0 a_0123456789876543210+ type family ReturnFunc (a :: Nat) (a :: Nat) :: Nat where+ ReturnFunc _ a_0123456789876543210 = Apply SuccSym0 a_0123456789876543210+ sId :: forall a (t :: a). Sing t -> Sing (Apply IdSym0 t :: a)+ sIdFoo ::+ forall c a (t :: c) (t :: a).+ Sing t -> Sing t -> Sing (Apply (Apply IdFooSym0 t) t :: a)+ sReturnFunc ::+ forall (t :: Nat) (t :: Nat).+ Sing t -> Sing t -> Sing (Apply (Apply ReturnFuncSym0 t) t :: Nat)+ sId (sX :: Sing x) = sX+ sIdFoo _ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing ((singFun1 @IdSym0) sId)) sA_0123456789876543210+ sReturnFunc+ _+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing ((singFun1 @SuccSym0) SSucc)) sA_0123456789876543210+ instance SingI (IdSym0 :: (~>) a a) where+ sing = (singFun1 @IdSym0) sId+ instance SingI (IdFooSym0 :: (~>) c ((~>) a a)) where+ sing = (singFun2 @IdFooSym0) sIdFoo+ instance SingI d => SingI (IdFooSym1 (d :: c) :: (~>) a a) where+ sing = (singFun1 @(IdFooSym1 (d :: c))) (sIdFoo (sing @d))+ instance SingI (ReturnFuncSym0 :: (~>) Nat ((~>) Nat Nat)) where+ sing = (singFun2 @ReturnFuncSym0) sReturnFunc+ instance SingI d =>+ SingI (ReturnFuncSym1 (d :: Nat) :: (~>) Nat Nat) where+ sing+ = (singFun1 @(ReturnFuncSym1 (d :: Nat))) (sReturnFunc (sing @d))
tests/compile-and-dump/Singletons/ReturnFunc.hs view
@@ -1,5 +1,3 @@-{-# OPTIONS_GHC -Wno-unused-imports #-}- module Singletons.ReturnFunc where import Data.Singletons
− tests/compile-and-dump/Singletons/Sections.ghc84.template
@@ -1,113 +0,0 @@-Singletons/Sections.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| (+) :: Nat -> Nat -> Nat- Zero + m = m- (Succ n) + m = Succ (n + m)- foo1 :: [Nat]- foo1 = map ((Succ Zero) +) [Zero, Succ Zero]- foo2 :: [Nat]- foo2 = map (+ (Succ Zero)) [Zero, Succ Zero]- foo3 :: [Nat]- foo3 = zipWith (+) [Succ Zero, Succ Zero] [Zero, Succ Zero] |]- ======>- (+) :: Nat -> Nat -> Nat- (+) Zero m = m- (+) (Succ n) m = Succ (n + m)- foo1 :: [Nat]- foo1 = (map (Succ Zero +)) [Zero, Succ Zero]- foo2 :: [Nat]- foo2 = (map (+ Succ Zero)) [Zero, Succ Zero]- foo3 :: [Nat]- foo3 = ((zipWith (+)) [Succ Zero, Succ Zero]) [Zero, Succ Zero]- type family Lambda_0123456789876543210 t where- Lambda_0123456789876543210 lhs_0123456789876543210 = Apply (Apply (+@#@$) lhs_0123456789876543210) (Apply SuccSym0 ZeroSym0)- type Lambda_0123456789876543210Sym1 t =- Lambda_0123456789876543210 t- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym0 l- = forall arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>- Lambda_0123456789876543210Sym0KindInference- type instance Apply Lambda_0123456789876543210Sym0 l = Lambda_0123456789876543210 l- type (+@#@$$$) (t :: Nat) (t :: Nat) = (+) t t- instance SuppressUnusedWarnings (+@#@$$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (:+@#@$$###)) GHC.Tuple.())- data (+@#@$$) (l :: Nat) (l :: TyFun Nat Nat)- = forall arg. SameKind (Apply ((+@#@$$) l) arg) ((+@#@$$$) l arg) =>- (:+@#@$$###)- type instance Apply ((+@#@$$) l) l = (+) l l- instance SuppressUnusedWarnings (+@#@$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (:+@#@$###)) GHC.Tuple.())- data (+@#@$) (l :: TyFun Nat (TyFun Nat Nat -> GHC.Types.Type))- = forall arg. SameKind (Apply (+@#@$) arg) ((+@#@$$) arg) =>- (:+@#@$###)- type instance Apply (+@#@$) l = (+@#@$$) l- type Foo1Sym0 = Foo1- type Foo2Sym0 = Foo2- type Foo3Sym0 = Foo3- type family (+) (a :: Nat) (a :: Nat) :: Nat where- (+) Zero m = m- (+) (Succ n) m = Apply SuccSym0 (Apply (Apply (+@#@$) n) m)- type family Foo1 :: [Nat] where- Foo1 = Apply (Apply MapSym0 (Apply (+@#@$) (Apply SuccSym0 ZeroSym0))) (Apply (Apply (:@#@$) ZeroSym0) (Apply (Apply (:@#@$) (Apply SuccSym0 ZeroSym0)) '[]))- type family Foo2 :: [Nat] where- Foo2 = Apply (Apply MapSym0 Lambda_0123456789876543210Sym0) (Apply (Apply (:@#@$) ZeroSym0) (Apply (Apply (:@#@$) (Apply SuccSym0 ZeroSym0)) '[]))- type family Foo3 :: [Nat] where- Foo3 = Apply (Apply (Apply ZipWithSym0 (+@#@$)) (Apply (Apply (:@#@$) (Apply SuccSym0 ZeroSym0)) (Apply (Apply (:@#@$) (Apply SuccSym0 ZeroSym0)) '[]))) (Apply (Apply (:@#@$) ZeroSym0) (Apply (Apply (:@#@$) (Apply SuccSym0 ZeroSym0)) '[]))- (%+) ::- forall (t :: Nat) (t :: Nat).- Sing t -> Sing t -> Sing (Apply (Apply (+@#@$) t) t :: Nat)- sFoo1 :: Sing (Foo1Sym0 :: [Nat])- sFoo2 :: Sing (Foo2Sym0 :: [Nat])- sFoo3 :: Sing (Foo3Sym0 :: [Nat])- (%+) SZero (sM :: Sing m) = sM- (%+) (SSucc (sN :: Sing n)) (sM :: Sing m)- = (applySing ((singFun1 @SuccSym0) SSucc))- ((applySing ((applySing ((singFun2 @(+@#@$)) (%+))) sN)) sM)- sFoo1- = (applySing- ((applySing ((singFun2 @MapSym0) sMap))- ((applySing ((singFun2 @(+@#@$)) (%+)))- ((applySing ((singFun1 @SuccSym0) SSucc)) SZero))))- ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SZero))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))- SNil))- sFoo2- = (applySing- ((applySing ((singFun2 @MapSym0) sMap))- ((singFun1 @Lambda_0123456789876543210Sym0)- (\ sLhs_0123456789876543210- -> case sLhs_0123456789876543210 of {- _ :: Sing lhs_0123456789876543210- -> (applySing- ((applySing ((singFun2 @(+@#@$)) (%+))) sLhs_0123456789876543210))- ((applySing ((singFun1 @SuccSym0) SSucc)) SZero) }))))- ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SZero))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))- SNil))- sFoo3- = (applySing- ((applySing- ((applySing ((singFun3 @ZipWithSym0) sZipWith))- ((singFun2 @(+@#@$)) (%+))))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))- SNil))))- ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SZero))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))- SNil))
+ tests/compile-and-dump/Singletons/Sections.ghc86.template view
@@ -0,0 +1,122 @@+Singletons/Sections.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| (+) :: Nat -> Nat -> Nat+ Zero + m = m+ (Succ n) + m = Succ (n + m)+ foo1 :: [Nat]+ foo1 = map ((Succ Zero) +) [Zero, Succ Zero]+ foo2 :: [Nat]+ foo2 = map (+ (Succ Zero)) [Zero, Succ Zero]+ foo3 :: [Nat]+ foo3 = zipWith (+) [Succ Zero, Succ Zero] [Zero, Succ Zero] |]+ ======>+ (+) :: Nat -> Nat -> Nat+ (+) Zero m = m+ (+) (Succ n) m = Succ (n + m)+ foo1 :: [Nat]+ foo1 = (map (Succ Zero +)) [Zero, Succ Zero]+ foo2 :: [Nat]+ foo2 = (map (+ Succ Zero)) [Zero, Succ Zero]+ foo3 :: [Nat]+ foo3 = ((zipWith (+)) [Succ Zero, Succ Zero]) [Zero, Succ Zero]+ type family Lambda_0123456789876543210 t where+ Lambda_0123456789876543210 lhs_0123456789876543210 = Apply (Apply (+@#@$) lhs_0123456789876543210) (Apply SuccSym0 ZeroSym0)+ type Lambda_0123456789876543210Sym1 t0123456789876543210 =+ Lambda_0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 t0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 t0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 t0123456789876543210 = Lambda_0123456789876543210 t0123456789876543210+ type (+@#@$$$) (a0123456789876543210 :: Nat) (a0123456789876543210 :: Nat) =+ (+) a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ((+@#@$$) a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) (:+@#@$$###)) ())+ data (+@#@$$) (a0123456789876543210 :: Nat) :: (~>) Nat Nat+ where+ (:+@#@$$###) :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply ((+@#@$$) a0123456789876543210) arg) ((+@#@$$$) a0123456789876543210 arg) =>+ (+@#@$$) a0123456789876543210 a0123456789876543210+ type instance Apply ((+@#@$$) a0123456789876543210) a0123456789876543210 = (+) a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (+@#@$) where+ suppressUnusedWarnings = snd (((,) (:+@#@$###)) ())+ data (+@#@$) :: (~>) Nat ((~>) Nat Nat)+ where+ (:+@#@$###) :: forall a0123456789876543210+ arg. SameKind (Apply (+@#@$) arg) ((+@#@$$) arg) =>+ (+@#@$) a0123456789876543210+ type instance Apply (+@#@$) a0123456789876543210 = (+@#@$$) a0123456789876543210+ type Foo1Sym0 = Foo1+ type Foo2Sym0 = Foo2+ type Foo3Sym0 = Foo3+ type family (+) (a :: Nat) (a :: Nat) :: Nat where+ (+) 'Zero m = m+ (+) ( 'Succ n) m = Apply SuccSym0 (Apply (Apply (+@#@$) n) m)+ type family Foo1 :: [Nat] where+ Foo1 = Apply (Apply MapSym0 (Apply (+@#@$) (Apply SuccSym0 ZeroSym0))) (Apply (Apply (:@#@$) ZeroSym0) (Apply (Apply (:@#@$) (Apply SuccSym0 ZeroSym0)) '[]))+ type family Foo2 :: [Nat] where+ Foo2 = Apply (Apply MapSym0 Lambda_0123456789876543210Sym0) (Apply (Apply (:@#@$) ZeroSym0) (Apply (Apply (:@#@$) (Apply SuccSym0 ZeroSym0)) '[]))+ type family Foo3 :: [Nat] where+ Foo3 = Apply (Apply (Apply ZipWithSym0 (+@#@$)) (Apply (Apply (:@#@$) (Apply SuccSym0 ZeroSym0)) (Apply (Apply (:@#@$) (Apply SuccSym0 ZeroSym0)) '[]))) (Apply (Apply (:@#@$) ZeroSym0) (Apply (Apply (:@#@$) (Apply SuccSym0 ZeroSym0)) '[]))+ (%+) ::+ forall (t :: Nat) (t :: Nat).+ Sing t -> Sing t -> Sing (Apply (Apply (+@#@$) t) t :: Nat)+ sFoo1 :: Sing (Foo1Sym0 :: [Nat])+ sFoo2 :: Sing (Foo2Sym0 :: [Nat])+ sFoo3 :: Sing (Foo3Sym0 :: [Nat])+ (%+) SZero (sM :: Sing m) = sM+ (%+) (SSucc (sN :: Sing n)) (sM :: Sing m)+ = (applySing ((singFun1 @SuccSym0) SSucc))+ ((applySing ((applySing ((singFun2 @(+@#@$)) (%+))) sN)) sM)+ sFoo1+ = (applySing+ ((applySing ((singFun2 @MapSym0) sMap))+ ((applySing ((singFun2 @(+@#@$)) (%+)))+ ((applySing ((singFun1 @SuccSym0) SSucc)) SZero))))+ ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SZero))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))+ SNil))+ sFoo2+ = (applySing+ ((applySing ((singFun2 @MapSym0) sMap))+ ((singFun1 @Lambda_0123456789876543210Sym0)+ (\ sLhs_0123456789876543210+ -> case sLhs_0123456789876543210 of {+ (_ :: Sing lhs_0123456789876543210)+ -> (applySing+ ((applySing ((singFun2 @(+@#@$)) (%+))) sLhs_0123456789876543210))+ ((applySing ((singFun1 @SuccSym0) SSucc)) SZero) }))))+ ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SZero))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))+ SNil))+ sFoo3+ = (applySing+ ((applySing+ ((applySing ((singFun3 @ZipWithSym0) sZipWith))+ ((singFun2 @(+@#@$)) (%+))))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))+ SNil))))+ ((applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SZero))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))+ SNil))+ instance SingI ((+@#@$) :: (~>) Nat ((~>) Nat Nat)) where+ sing = (singFun2 @(+@#@$)) (%+)+ instance SingI d =>+ SingI ((+@#@$$) (d :: Nat) :: (~>) Nat Nat) where+ sing = (singFun1 @((+@#@$$) (d :: Nat))) ((%+) (sing @d))
− tests/compile-and-dump/Singletons/ShowDeriving.ghc84.template
@@ -1,591 +0,0 @@-Singletons/ShowDeriving.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| infixl 5 `MkFoo2b`, :*:, :&:- - data Foo1- = MkFoo1- deriving Show- data Foo2 a- = MkFoo2a a a | a `MkFoo2b` a | (:*:) a a | a :&: a- deriving Show- data Foo3- = MkFoo3 {getFoo3a :: Bool, *** :: Bool}- deriving Show |]- ======>- data Foo1- = MkFoo1- deriving Show- infixl 5 `MkFoo2b`- infixl 5 :*:- infixl 5 :&:- data Foo2 a- = MkFoo2a a a | a `MkFoo2b` a | (:*:) a a | a :&: a- deriving Show- data Foo3- = MkFoo3 {getFoo3a :: Bool, *** :: Bool}- deriving Show- type GetFoo3aSym1 (t :: Foo3) = GetFoo3a t- instance SuppressUnusedWarnings GetFoo3aSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) GetFoo3aSym0KindInference) GHC.Tuple.())- data GetFoo3aSym0 (l :: TyFun Foo3 Bool)- = forall arg. SameKind (Apply GetFoo3aSym0 arg) (GetFoo3aSym1 arg) =>- GetFoo3aSym0KindInference- type instance Apply GetFoo3aSym0 l = GetFoo3a l- type (***@#@$$) (t :: Foo3) = (***) t- instance SuppressUnusedWarnings (***@#@$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (:***@#@$###)) GHC.Tuple.())- data (***@#@$) (l :: TyFun Foo3 Bool)- = forall arg. SameKind (Apply (***@#@$) arg) ((***@#@$$) arg) =>- (:***@#@$###)- type instance Apply (***@#@$) l = (***) l- type family GetFoo3a (a :: Foo3) :: Bool where- GetFoo3a (MkFoo3 field _) = field- type family (***) (a :: Foo3) :: Bool where- (***) (MkFoo3 _ field) = field- type MkFoo1Sym0 = MkFoo1- type MkFoo2aSym2 (t :: a0123456789876543210) (t :: a0123456789876543210) =- MkFoo2a t t- instance SuppressUnusedWarnings MkFoo2aSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) MkFoo2aSym1KindInference) GHC.Tuple.())- data MkFoo2aSym1 (l :: a0123456789876543210) (l :: TyFun a0123456789876543210 (Foo2 a0123456789876543210))- = forall arg. SameKind (Apply (MkFoo2aSym1 l) arg) (MkFoo2aSym2 l arg) =>- MkFoo2aSym1KindInference- type instance Apply (MkFoo2aSym1 l) l = MkFoo2a l l- instance SuppressUnusedWarnings MkFoo2aSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) MkFoo2aSym0KindInference) GHC.Tuple.())- data MkFoo2aSym0 (l :: TyFun a0123456789876543210 (TyFun a0123456789876543210 (Foo2 a0123456789876543210)- -> GHC.Types.Type))- = forall arg. SameKind (Apply MkFoo2aSym0 arg) (MkFoo2aSym1 arg) =>- MkFoo2aSym0KindInference- type instance Apply MkFoo2aSym0 l = MkFoo2aSym1 l- type MkFoo2bSym2 (t :: a0123456789876543210) (t :: a0123456789876543210) =- MkFoo2b t t- instance SuppressUnusedWarnings MkFoo2bSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) MkFoo2bSym1KindInference) GHC.Tuple.())- data MkFoo2bSym1 (l :: a0123456789876543210) (l :: TyFun a0123456789876543210 (Foo2 a0123456789876543210))- = forall arg. SameKind (Apply (MkFoo2bSym1 l) arg) (MkFoo2bSym2 l arg) =>- MkFoo2bSym1KindInference- type instance Apply (MkFoo2bSym1 l) l = MkFoo2b l l- instance SuppressUnusedWarnings MkFoo2bSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) MkFoo2bSym0KindInference) GHC.Tuple.())- data MkFoo2bSym0 (l :: TyFun a0123456789876543210 (TyFun a0123456789876543210 (Foo2 a0123456789876543210)- -> GHC.Types.Type))- = forall arg. SameKind (Apply MkFoo2bSym0 arg) (MkFoo2bSym1 arg) =>- MkFoo2bSym0KindInference- type instance Apply MkFoo2bSym0 l = MkFoo2bSym1 l- type (:*:@#@$$$) (t :: a0123456789876543210) (t :: a0123456789876543210) =- (:*:) t t- instance SuppressUnusedWarnings (:*:@#@$$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (::*:@#@$$###)) GHC.Tuple.())- data (:*:@#@$$) (l :: a0123456789876543210) (l :: TyFun a0123456789876543210 (Foo2 a0123456789876543210))- = forall arg. SameKind (Apply ((:*:@#@$$) l) arg) ((:*:@#@$$$) l arg) =>- (::*:@#@$$###)- type instance Apply ((:*:@#@$$) l) l = (:*:) l l- instance SuppressUnusedWarnings (:*:@#@$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (::*:@#@$###)) GHC.Tuple.())- data (:*:@#@$) (l :: TyFun a0123456789876543210 (TyFun a0123456789876543210 (Foo2 a0123456789876543210)- -> GHC.Types.Type))- = forall arg. SameKind (Apply (:*:@#@$) arg) ((:*:@#@$$) arg) =>- (::*:@#@$###)- type instance Apply (:*:@#@$) l = (:*:@#@$$) l- type (:&:@#@$$$) (t :: a0123456789876543210) (t :: a0123456789876543210) =- (:&:) t t- instance SuppressUnusedWarnings (:&:@#@$$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (::&:@#@$$###)) GHC.Tuple.())- data (:&:@#@$$) (l :: a0123456789876543210) (l :: TyFun a0123456789876543210 (Foo2 a0123456789876543210))- = forall arg. SameKind (Apply ((:&:@#@$$) l) arg) ((:&:@#@$$$) l arg) =>- (::&:@#@$$###)- type instance Apply ((:&:@#@$$) l) l = (:&:) l l- instance SuppressUnusedWarnings (:&:@#@$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (::&:@#@$###)) GHC.Tuple.())- data (:&:@#@$) (l :: TyFun a0123456789876543210 (TyFun a0123456789876543210 (Foo2 a0123456789876543210)- -> GHC.Types.Type))- = forall arg. SameKind (Apply (:&:@#@$) arg) ((:&:@#@$$) arg) =>- (::&:@#@$###)- type instance Apply (:&:@#@$) l = (:&:@#@$$) l- type MkFoo3Sym2 (t :: Bool) (t :: Bool) = MkFoo3 t t- instance SuppressUnusedWarnings MkFoo3Sym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) MkFoo3Sym1KindInference) GHC.Tuple.())- data MkFoo3Sym1 (l :: Bool) (l :: TyFun Bool Foo3)- = forall arg. SameKind (Apply (MkFoo3Sym1 l) arg) (MkFoo3Sym2 l arg) =>- MkFoo3Sym1KindInference- type instance Apply (MkFoo3Sym1 l) l = MkFoo3 l l- instance SuppressUnusedWarnings MkFoo3Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) MkFoo3Sym0KindInference) GHC.Tuple.())- data MkFoo3Sym0 (l :: TyFun Bool (TyFun Bool Foo3- -> GHC.Types.Type))- = forall arg. SameKind (Apply MkFoo3Sym0 arg) (MkFoo3Sym1 arg) =>- MkFoo3Sym0KindInference- type instance Apply MkFoo3Sym0 l = MkFoo3Sym1 l- type family ShowsPrec_0123456789876543210 (a :: GHC.Types.Nat) (a :: Foo1) (a :: Symbol) :: Symbol where- ShowsPrec_0123456789876543210 _ MkFoo1 a_0123456789876543210 = Apply (Apply ShowStringSym0 "MkFoo1") a_0123456789876543210- type ShowsPrec_0123456789876543210Sym3 (t :: GHC.Types.Nat) (t :: Foo1) (t :: Symbol) =- ShowsPrec_0123456789876543210 t t t- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym2 (l :: GHC.Types.Nat) (l :: Foo1) (l :: TyFun Symbol Symbol)- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 l l) arg) (ShowsPrec_0123456789876543210Sym3 l l arg) =>- ShowsPrec_0123456789876543210Sym2KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym2 l l) l = ShowsPrec_0123456789876543210 l l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym1 (l :: GHC.Types.Nat) (l :: TyFun Foo1 (TyFun Symbol Symbol- -> GHC.Types.Type))- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 l) arg) (ShowsPrec_0123456789876543210Sym2 l arg) =>- ShowsPrec_0123456789876543210Sym1KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym1 l) l = ShowsPrec_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym0 (l :: TyFun GHC.Types.Nat (TyFun Foo1 (TyFun Symbol Symbol- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>- ShowsPrec_0123456789876543210Sym0KindInference- type instance Apply ShowsPrec_0123456789876543210Sym0 l = ShowsPrec_0123456789876543210Sym1 l- instance PShow Foo1 where- type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a- type family ShowsPrec_0123456789876543210 (a :: GHC.Types.Nat) (a :: Foo2 a) (a :: Symbol) :: Symbol where- ShowsPrec_0123456789876543210 p_0123456789876543210 (MkFoo2a arg_0123456789876543210 arg_0123456789876543210) a_0123456789876543210 = Apply (Apply (Apply ShowParenSym0 (Apply (Apply (>@#@$) p_0123456789876543210) (FromInteger 10))) (Apply (Apply (.@#@$) (Apply ShowStringSym0 "MkFoo2a ")) (Apply (Apply (.@#@$) (Apply (Apply ShowsPrecSym0 (FromInteger 11)) arg_0123456789876543210)) (Apply (Apply (.@#@$) ShowSpaceSym0) (Apply (Apply ShowsPrecSym0 (FromInteger 11)) arg_0123456789876543210))))) a_0123456789876543210- ShowsPrec_0123456789876543210 p_0123456789876543210 (MkFoo2b argL_0123456789876543210 argR_0123456789876543210) a_0123456789876543210 = Apply (Apply (Apply ShowParenSym0 (Apply (Apply (>@#@$) p_0123456789876543210) (FromInteger 5))) (Apply (Apply (.@#@$) (Apply (Apply ShowsPrecSym0 (FromInteger 6)) argL_0123456789876543210)) (Apply (Apply (.@#@$) (Apply ShowStringSym0 " `MkFoo2b` ")) (Apply (Apply ShowsPrecSym0 (FromInteger 6)) argR_0123456789876543210)))) a_0123456789876543210- ShowsPrec_0123456789876543210 p_0123456789876543210 ((:*:) arg_0123456789876543210 arg_0123456789876543210) a_0123456789876543210 = Apply (Apply (Apply ShowParenSym0 (Apply (Apply (>@#@$) p_0123456789876543210) (FromInteger 10))) (Apply (Apply (.@#@$) (Apply ShowStringSym0 "(:*:) ")) (Apply (Apply (.@#@$) (Apply (Apply ShowsPrecSym0 (FromInteger 11)) arg_0123456789876543210)) (Apply (Apply (.@#@$) ShowSpaceSym0) (Apply (Apply ShowsPrecSym0 (FromInteger 11)) arg_0123456789876543210))))) a_0123456789876543210- ShowsPrec_0123456789876543210 p_0123456789876543210 ((:&:) argL_0123456789876543210 argR_0123456789876543210) a_0123456789876543210 = Apply (Apply (Apply ShowParenSym0 (Apply (Apply (>@#@$) p_0123456789876543210) (FromInteger 5))) (Apply (Apply (.@#@$) (Apply (Apply ShowsPrecSym0 (FromInteger 6)) argL_0123456789876543210)) (Apply (Apply (.@#@$) (Apply ShowStringSym0 " :&: ")) (Apply (Apply ShowsPrecSym0 (FromInteger 6)) argR_0123456789876543210)))) a_0123456789876543210- type ShowsPrec_0123456789876543210Sym3 (t :: GHC.Types.Nat) (t :: Foo2 a0123456789876543210) (t :: Symbol) =- ShowsPrec_0123456789876543210 t t t- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym2 (l :: GHC.Types.Nat) (l :: Foo2 a0123456789876543210) (l :: TyFun Symbol Symbol)- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 l l) arg) (ShowsPrec_0123456789876543210Sym3 l l arg) =>- ShowsPrec_0123456789876543210Sym2KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym2 l l) l = ShowsPrec_0123456789876543210 l l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym1 (l :: GHC.Types.Nat) (l :: TyFun (Foo2 a0123456789876543210) (TyFun Symbol Symbol- -> GHC.Types.Type))- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 l) arg) (ShowsPrec_0123456789876543210Sym2 l arg) =>- ShowsPrec_0123456789876543210Sym1KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym1 l) l = ShowsPrec_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym0 (l :: TyFun GHC.Types.Nat (TyFun (Foo2 a0123456789876543210) (TyFun Symbol Symbol- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>- ShowsPrec_0123456789876543210Sym0KindInference- type instance Apply ShowsPrec_0123456789876543210Sym0 l = ShowsPrec_0123456789876543210Sym1 l- instance PShow (Foo2 a) where- type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a- type family ShowsPrec_0123456789876543210 (a :: GHC.Types.Nat) (a :: Foo3) (a :: Symbol) :: Symbol where- ShowsPrec_0123456789876543210 p_0123456789876543210 (MkFoo3 arg_0123456789876543210 arg_0123456789876543210) a_0123456789876543210 = Apply (Apply (Apply ShowParenSym0 (Apply (Apply (>@#@$) p_0123456789876543210) (FromInteger 10))) (Apply (Apply (.@#@$) (Apply ShowStringSym0 "MkFoo3 ")) (Apply (Apply (.@#@$) (Apply ShowCharSym0 "{")) (Apply (Apply (.@#@$) (Apply ShowStringSym0 "getFoo3a = ")) (Apply (Apply (.@#@$) (Apply (Apply ShowsPrecSym0 (FromInteger 0)) arg_0123456789876543210)) (Apply (Apply (.@#@$) ShowCommaSpaceSym0) (Apply (Apply (.@#@$) (Apply ShowStringSym0 "(***) = ")) (Apply (Apply (.@#@$) (Apply (Apply ShowsPrecSym0 (FromInteger 0)) arg_0123456789876543210)) (Apply ShowCharSym0 "}"))))))))) a_0123456789876543210- type ShowsPrec_0123456789876543210Sym3 (t :: GHC.Types.Nat) (t :: Foo3) (t :: Symbol) =- ShowsPrec_0123456789876543210 t t t- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym2 (l :: GHC.Types.Nat) (l :: Foo3) (l :: TyFun Symbol Symbol)- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 l l) arg) (ShowsPrec_0123456789876543210Sym3 l l arg) =>- ShowsPrec_0123456789876543210Sym2KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym2 l l) l = ShowsPrec_0123456789876543210 l l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym1 (l :: GHC.Types.Nat) (l :: TyFun Foo3 (TyFun Symbol Symbol- -> GHC.Types.Type))- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 l) arg) (ShowsPrec_0123456789876543210Sym2 l arg) =>- ShowsPrec_0123456789876543210Sym1KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym1 l) l = ShowsPrec_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym0 (l :: TyFun GHC.Types.Nat (TyFun Foo3 (TyFun Symbol Symbol- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>- ShowsPrec_0123456789876543210Sym0KindInference- type instance Apply ShowsPrec_0123456789876543210Sym0 l = ShowsPrec_0123456789876543210Sym1 l- instance PShow Foo3 where- type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a- infixl 5 :%&:- infixl 5 :%*:- infixl 5 `SMkFoo2b`- data instance Sing (z :: Foo1) where SMkFoo1 :: Sing MkFoo1- type SFoo1 = (Sing :: Foo1 -> GHC.Types.Type)- instance SingKind Foo1 where- type Demote Foo1 = Foo1- fromSing SMkFoo1 = MkFoo1- toSing MkFoo1 = SomeSing SMkFoo1- data instance Sing (z :: Foo2 a)- where- SMkFoo2a :: forall (n :: a) (n :: a).- (Sing (n :: a)) -> (Sing (n :: a)) -> Sing (MkFoo2a n n)- SMkFoo2b :: forall (n :: a) (n :: a).- (Sing (n :: a)) -> (Sing (n :: a)) -> Sing (MkFoo2b n n)- (:%*:) :: forall (n :: a) (n :: a).- (Sing (n :: a)) -> (Sing (n :: a)) -> Sing ((:*:) n n)- (:%&:) :: forall (n :: a) (n :: a).- (Sing (n :: a)) -> (Sing (n :: a)) -> Sing ((:&:) n n)- type SFoo2 = (Sing :: Foo2 a -> GHC.Types.Type)- instance SingKind a => SingKind (Foo2 a) where- type Demote (Foo2 a) = Foo2 (Demote a)- fromSing (SMkFoo2a b b) = (MkFoo2a (fromSing b)) (fromSing b)- fromSing (SMkFoo2b b b) = (MkFoo2b (fromSing b)) (fromSing b)- fromSing ((:%*:) b b) = ((:*:) (fromSing b)) (fromSing b)- fromSing ((:%&:) b b) = ((:&:) (fromSing b)) (fromSing b)- toSing (MkFoo2a (b :: Demote a) (b :: Demote a))- = case- (GHC.Tuple.(,) (toSing b :: SomeSing a)) (toSing b :: SomeSing a)- of {- GHC.Tuple.(,) (SomeSing c) (SomeSing c)- -> SomeSing ((SMkFoo2a c) c) }- toSing (MkFoo2b (b :: Demote a) (b :: Demote a))- = case- (GHC.Tuple.(,) (toSing b :: SomeSing a)) (toSing b :: SomeSing a)- of {- GHC.Tuple.(,) (SomeSing c) (SomeSing c)- -> SomeSing ((SMkFoo2b c) c) }- toSing ((:*:) (b :: Demote a) (b :: Demote a))- = case- (GHC.Tuple.(,) (toSing b :: SomeSing a)) (toSing b :: SomeSing a)- of {- GHC.Tuple.(,) (SomeSing c) (SomeSing c)- -> SomeSing (((:%*:) c) c) }- toSing ((:&:) (b :: Demote a) (b :: Demote a))- = case- (GHC.Tuple.(,) (toSing b :: SomeSing a)) (toSing b :: SomeSing a)- of {- GHC.Tuple.(,) (SomeSing c) (SomeSing c)- -> SomeSing (((:%&:) c) c) }- data instance Sing (z :: Foo3)- where- SMkFoo3 :: forall (n :: Bool) (n :: Bool).- {sGetFoo3a :: (Sing (n :: Bool)), %*** :: (Sing (n :: Bool))}- -> Sing (MkFoo3 n n)- type SFoo3 = (Sing :: Foo3 -> GHC.Types.Type)- instance SingKind Foo3 where- type Demote Foo3 = Foo3- fromSing (SMkFoo3 b b) = (MkFoo3 (fromSing b)) (fromSing b)- toSing (MkFoo3 (b :: Demote Bool) (b :: Demote Bool))- = case- (GHC.Tuple.(,) (toSing b :: SomeSing Bool))- (toSing b :: SomeSing Bool)- of {- GHC.Tuple.(,) (SomeSing c) (SomeSing c)- -> SomeSing ((SMkFoo3 c) c) }- instance SShow Foo1 where- sShowsPrec ::- forall (t1 :: GHC.Types.Nat) (t2 :: Foo1) (t3 :: Symbol).- Sing t1- -> Sing t2- -> Sing t3- -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun GHC.Types.Nat (TyFun Foo1 (TyFun Symbol Symbol- -> GHC.Types.Type)- -> GHC.Types.Type)- -> GHC.Types.Type) t1) t2) t3)- sShowsPrec- _- SMkFoo1- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "MkFoo1")))- sA_0123456789876543210- instance SShow a => SShow (Foo2 a) where- sShowsPrec ::- forall (t1 :: GHC.Types.Nat) (t2 :: Foo2 a) (t3 :: Symbol).- Sing t1- -> Sing t2- -> Sing t3- -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun GHC.Types.Nat (TyFun (Foo2 a) (TyFun Symbol Symbol- -> GHC.Types.Type)- -> GHC.Types.Type)- -> GHC.Types.Type) t1) t2) t3)- sShowsPrec- (sP_0123456789876543210 :: Sing p_0123456789876543210)- (SMkFoo2a (sArg_0123456789876543210 :: Sing arg_0123456789876543210)- (sArg_0123456789876543210 :: Sing arg_0123456789876543210))- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing- ((applySing ((singFun3 @ShowParenSym0) sShowParen))- ((applySing- ((applySing ((singFun2 @(>@#@$)) (%>))) sP_0123456789876543210))- (sFromInteger (sing :: Sing 10)))))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "MkFoo2a "))))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((applySing- ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))- (sFromInteger (sing :: Sing 11))))- sArg_0123456789876543210)))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((singFun1 @ShowSpaceSym0) sShowSpace)))- ((applySing- ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))- (sFromInteger (sing :: Sing 11))))- sArg_0123456789876543210))))))- sA_0123456789876543210- sShowsPrec- (sP_0123456789876543210 :: Sing p_0123456789876543210)- (SMkFoo2b (sArgL_0123456789876543210 :: Sing argL_0123456789876543210)- (sArgR_0123456789876543210 :: Sing argR_0123456789876543210))- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing- ((applySing ((singFun3 @ShowParenSym0) sShowParen))- ((applySing- ((applySing ((singFun2 @(>@#@$)) (%>))) sP_0123456789876543210))- (sFromInteger (sing :: Sing 5)))))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((applySing- ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))- (sFromInteger (sing :: Sing 6))))- sArgL_0123456789876543210)))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing " `MkFoo2b` "))))- ((applySing- ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))- (sFromInteger (sing :: Sing 6))))- sArgR_0123456789876543210)))))- sA_0123456789876543210- sShowsPrec- (sP_0123456789876543210 :: Sing p_0123456789876543210)- ((:%*:) (sArg_0123456789876543210 :: Sing arg_0123456789876543210)- (sArg_0123456789876543210 :: Sing arg_0123456789876543210))- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing- ((applySing ((singFun3 @ShowParenSym0) sShowParen))- ((applySing- ((applySing ((singFun2 @(>@#@$)) (%>))) sP_0123456789876543210))- (sFromInteger (sing :: Sing 10)))))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "(:*:) "))))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((applySing- ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))- (sFromInteger (sing :: Sing 11))))- sArg_0123456789876543210)))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((singFun1 @ShowSpaceSym0) sShowSpace)))- ((applySing- ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))- (sFromInteger (sing :: Sing 11))))- sArg_0123456789876543210))))))- sA_0123456789876543210- sShowsPrec- (sP_0123456789876543210 :: Sing p_0123456789876543210)- ((:%&:) (sArgL_0123456789876543210 :: Sing argL_0123456789876543210)- (sArgR_0123456789876543210 :: Sing argR_0123456789876543210))- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing- ((applySing ((singFun3 @ShowParenSym0) sShowParen))- ((applySing- ((applySing ((singFun2 @(>@#@$)) (%>))) sP_0123456789876543210))- (sFromInteger (sing :: Sing 5)))))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((applySing- ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))- (sFromInteger (sing :: Sing 6))))- sArgL_0123456789876543210)))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing " :&: "))))- ((applySing- ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))- (sFromInteger (sing :: Sing 6))))- sArgR_0123456789876543210)))))- sA_0123456789876543210- instance SShow Bool => SShow Foo3 where- sShowsPrec ::- forall (t1 :: GHC.Types.Nat) (t2 :: Foo3) (t3 :: Symbol).- Sing t1- -> Sing t2- -> Sing t3- -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun GHC.Types.Nat (TyFun Foo3 (TyFun Symbol Symbol- -> GHC.Types.Type)- -> GHC.Types.Type)- -> GHC.Types.Type) t1) t2) t3)- sShowsPrec- (sP_0123456789876543210 :: Sing p_0123456789876543210)- (SMkFoo3 (sArg_0123456789876543210 :: Sing arg_0123456789876543210)- (sArg_0123456789876543210 :: Sing arg_0123456789876543210))- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing- ((applySing ((singFun3 @ShowParenSym0) sShowParen))- ((applySing- ((applySing ((singFun2 @(>@#@$)) (%>))) sP_0123456789876543210))- (sFromInteger (sing :: Sing 10)))))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "MkFoo3 "))))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((applySing ((singFun2 @ShowCharSym0) sShowChar))- (sing :: Sing "{"))))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "getFoo3a = "))))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((applySing- ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))- (sFromInteger (sing :: Sing 0))))- sArg_0123456789876543210)))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((singFun1 @ShowCommaSpaceSym0) sShowCommaSpace)))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "(***) = "))))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((applySing- ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))- (sFromInteger (sing :: Sing 0))))- sArg_0123456789876543210)))- ((applySing ((singFun2 @ShowCharSym0) sShowChar))- (sing :: Sing "}")))))))))))- sA_0123456789876543210- instance Data.Singletons.ShowSing.ShowSing Foo1 where- Data.Singletons.ShowSing.showsSingPrec _ SMkFoo1- = showString "SMkFoo1"- instance Show (Sing (z :: Foo1)) where- showsPrec = Data.Singletons.ShowSing.showsSingPrec- instance Data.Singletons.ShowSing.ShowSing a =>- Data.Singletons.ShowSing.ShowSing (Foo2 a) where- Data.Singletons.ShowSing.showsSingPrec- p_0123456789876543210- (SMkFoo2a arg_0123456789876543210 arg_0123456789876543210)- = (showParen (((>) p_0123456789876543210) 10))- (((.) (showString "SMkFoo2a "))- (((.)- ((Data.Singletons.ShowSing.showsSingPrec 11)- arg_0123456789876543210))- (((.) GHC.Show.showSpace)- ((Data.Singletons.ShowSing.showsSingPrec 11)- arg_0123456789876543210))))- Data.Singletons.ShowSing.showsSingPrec- p_0123456789876543210- (SMkFoo2b argL_0123456789876543210 argR_0123456789876543210)- = (showParen (((>) p_0123456789876543210) 9))- (((.)- ((Data.Singletons.ShowSing.showsSingPrec 10)- argL_0123456789876543210))- (((.) (showString " `SMkFoo2b` "))- ((Data.Singletons.ShowSing.showsSingPrec 10)- argR_0123456789876543210)))- Data.Singletons.ShowSing.showsSingPrec- p_0123456789876543210- ((:%*:) arg_0123456789876543210 arg_0123456789876543210)- = (showParen (((>) p_0123456789876543210) 10))- (((.) (showString "(:%*:) "))- (((.)- ((Data.Singletons.ShowSing.showsSingPrec 11)- arg_0123456789876543210))- (((.) GHC.Show.showSpace)- ((Data.Singletons.ShowSing.showsSingPrec 11)- arg_0123456789876543210))))- Data.Singletons.ShowSing.showsSingPrec- p_0123456789876543210- ((:%&:) argL_0123456789876543210 argR_0123456789876543210)- = (showParen (((>) p_0123456789876543210) 9))- (((.)- ((Data.Singletons.ShowSing.showsSingPrec 10)- argL_0123456789876543210))- (((.) (showString " :%&: "))- ((Data.Singletons.ShowSing.showsSingPrec 10)- argR_0123456789876543210)))- instance Data.Singletons.ShowSing.ShowSing a =>- Show (Sing (z :: Foo2 a)) where- showsPrec = Data.Singletons.ShowSing.showsSingPrec- instance Data.Singletons.ShowSing.ShowSing Bool =>- Data.Singletons.ShowSing.ShowSing Foo3 where- Data.Singletons.ShowSing.showsSingPrec- p_0123456789876543210- (SMkFoo3 arg_0123456789876543210 arg_0123456789876543210)- = (showParen (((>) p_0123456789876543210) 10))- (((.) (showString "SMkFoo3 "))- (((.) (showChar '{'))- (((.) (showString "sGetFoo3a = "))- (((.)- ((Data.Singletons.ShowSing.showsSingPrec 0)- arg_0123456789876543210))- (((.) GHC.Show.showCommaSpace)- (((.) (showString "(%***) = "))- (((.)- ((Data.Singletons.ShowSing.showsSingPrec 0)- arg_0123456789876543210))- (showChar '}'))))))))- instance Data.Singletons.ShowSing.ShowSing Bool =>- Show (Sing (z :: Foo3)) where- showsPrec = Data.Singletons.ShowSing.showsSingPrec- instance SingI MkFoo1 where- sing = SMkFoo1- instance (SingI n, SingI n) =>- SingI (MkFoo2a (n :: a) (n :: a)) where- sing = (SMkFoo2a sing) sing- instance (SingI n, SingI n) =>- SingI (MkFoo2b (n :: a) (n :: a)) where- sing = (SMkFoo2b sing) sing- instance (SingI n, SingI n) =>- SingI ((:*:) (n :: a) (n :: a)) where- sing = ((:%*:) sing) sing- instance (SingI n, SingI n) =>- SingI ((:&:) (n :: a) (n :: a)) where- sing = ((:%&:) sing) sing- instance (SingI n, SingI n) =>- SingI (MkFoo3 (n :: Bool) (n :: Bool)) where- sing = (SMkFoo3 sing) sing
+ tests/compile-and-dump/Singletons/ShowDeriving.ghc86.template view
@@ -0,0 +1,582 @@+Singletons/ShowDeriving.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| infixl 5 `MkFoo2b`, :*:, :&:+ + data Foo1+ = MkFoo1+ deriving Show+ data Foo2 a+ = MkFoo2a a a | a `MkFoo2b` a | (:*:) a a | a :&: a+ deriving Show+ data Foo3+ = MkFoo3 {getFoo3a :: Bool, *** :: Bool}+ deriving Show |]+ ======>+ data Foo1+ = MkFoo1+ deriving Show+ infixl 5 `MkFoo2b`+ infixl 5 :*:+ infixl 5 :&:+ data Foo2 a+ = MkFoo2a a a | a `MkFoo2b` a | (:*:) a a | a :&: a+ deriving Show+ data Foo3+ = MkFoo3 {getFoo3a :: Bool, *** :: Bool}+ deriving Show+ type GetFoo3aSym1 (a0123456789876543210 :: Foo3) =+ GetFoo3a a0123456789876543210+ instance SuppressUnusedWarnings GetFoo3aSym0 where+ suppressUnusedWarnings = snd (((,) GetFoo3aSym0KindInference) ())+ data GetFoo3aSym0 :: (~>) Foo3 Bool+ where+ GetFoo3aSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply GetFoo3aSym0 arg) (GetFoo3aSym1 arg) =>+ GetFoo3aSym0 a0123456789876543210+ type instance Apply GetFoo3aSym0 a0123456789876543210 = GetFoo3a a0123456789876543210+ type (***@#@$$) (a0123456789876543210 :: Foo3) =+ (***) a0123456789876543210+ instance SuppressUnusedWarnings (***@#@$) where+ suppressUnusedWarnings = snd (((,) (:***@#@$###)) ())+ data (***@#@$) :: (~>) Foo3 Bool+ where+ (:***@#@$###) :: forall a0123456789876543210+ arg. SameKind (Apply (***@#@$) arg) ((***@#@$$) arg) =>+ (***@#@$) a0123456789876543210+ type instance Apply (***@#@$) a0123456789876543210 = (***) a0123456789876543210+ type family GetFoo3a (a :: Foo3) :: Bool where+ GetFoo3a (MkFoo3 field _) = field+ type family (***) (a :: Foo3) :: Bool where+ (***) (MkFoo3 _ field) = field+ type MkFoo1Sym0 = MkFoo1+ type MkFoo2aSym2 (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: a0123456789876543210) =+ MkFoo2a t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (MkFoo2aSym1 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) MkFoo2aSym1KindInference) ())+ data MkFoo2aSym1 (t0123456789876543210 :: a0123456789876543210) :: (~>) a0123456789876543210 (Foo2 a0123456789876543210)+ where+ MkFoo2aSym1KindInference :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (MkFoo2aSym1 t0123456789876543210) arg) (MkFoo2aSym2 t0123456789876543210 arg) =>+ MkFoo2aSym1 t0123456789876543210 t0123456789876543210+ type instance Apply (MkFoo2aSym1 t0123456789876543210) t0123456789876543210 = MkFoo2a t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings MkFoo2aSym0 where+ suppressUnusedWarnings = snd (((,) MkFoo2aSym0KindInference) ())+ data MkFoo2aSym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 ((~>) a0123456789876543210 (Foo2 a0123456789876543210))+ where+ MkFoo2aSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply MkFoo2aSym0 arg) (MkFoo2aSym1 arg) =>+ MkFoo2aSym0 t0123456789876543210+ type instance Apply MkFoo2aSym0 t0123456789876543210 = MkFoo2aSym1 t0123456789876543210+ type MkFoo2bSym2 (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: a0123456789876543210) =+ MkFoo2b t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (MkFoo2bSym1 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) MkFoo2bSym1KindInference) ())+ data MkFoo2bSym1 (t0123456789876543210 :: a0123456789876543210) :: (~>) a0123456789876543210 (Foo2 a0123456789876543210)+ where+ MkFoo2bSym1KindInference :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (MkFoo2bSym1 t0123456789876543210) arg) (MkFoo2bSym2 t0123456789876543210 arg) =>+ MkFoo2bSym1 t0123456789876543210 t0123456789876543210+ type instance Apply (MkFoo2bSym1 t0123456789876543210) t0123456789876543210 = MkFoo2b t0123456789876543210 t0123456789876543210+ infixl 5 `MkFoo2bSym1`+ instance SuppressUnusedWarnings MkFoo2bSym0 where+ suppressUnusedWarnings = snd (((,) MkFoo2bSym0KindInference) ())+ data MkFoo2bSym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 ((~>) a0123456789876543210 (Foo2 a0123456789876543210))+ where+ MkFoo2bSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply MkFoo2bSym0 arg) (MkFoo2bSym1 arg) =>+ MkFoo2bSym0 t0123456789876543210+ type instance Apply MkFoo2bSym0 t0123456789876543210 = MkFoo2bSym1 t0123456789876543210+ infixl 5 `MkFoo2bSym0`+ type (:*:@#@$$$) (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: a0123456789876543210) =+ (:*:) t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings ((:*:@#@$$) t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) (::*:@#@$$###)) ())+ data (:*:@#@$$) (t0123456789876543210 :: a0123456789876543210) :: (~>) a0123456789876543210 (Foo2 a0123456789876543210)+ where+ (::*:@#@$$###) :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply ((:*:@#@$$) t0123456789876543210) arg) ((:*:@#@$$$) t0123456789876543210 arg) =>+ (:*:@#@$$) t0123456789876543210 t0123456789876543210+ type instance Apply ((:*:@#@$$) t0123456789876543210) t0123456789876543210 = (:*:) t0123456789876543210 t0123456789876543210+ infixl 5 :*:@#@$$+ instance SuppressUnusedWarnings (:*:@#@$) where+ suppressUnusedWarnings = snd (((,) (::*:@#@$###)) ())+ data (:*:@#@$) :: forall a0123456789876543210.+ (~>) a0123456789876543210 ((~>) a0123456789876543210 (Foo2 a0123456789876543210))+ where+ (::*:@#@$###) :: forall t0123456789876543210+ arg. SameKind (Apply (:*:@#@$) arg) ((:*:@#@$$) arg) =>+ (:*:@#@$) t0123456789876543210+ type instance Apply (:*:@#@$) t0123456789876543210 = (:*:@#@$$) t0123456789876543210+ infixl 5 :*:@#@$+ type (:&:@#@$$$) (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: a0123456789876543210) =+ (:&:) t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings ((:&:@#@$$) t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) (::&:@#@$$###)) ())+ data (:&:@#@$$) (t0123456789876543210 :: a0123456789876543210) :: (~>) a0123456789876543210 (Foo2 a0123456789876543210)+ where+ (::&:@#@$$###) :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply ((:&:@#@$$) t0123456789876543210) arg) ((:&:@#@$$$) t0123456789876543210 arg) =>+ (:&:@#@$$) t0123456789876543210 t0123456789876543210+ type instance Apply ((:&:@#@$$) t0123456789876543210) t0123456789876543210 = (:&:) t0123456789876543210 t0123456789876543210+ infixl 5 :&:@#@$$+ instance SuppressUnusedWarnings (:&:@#@$) where+ suppressUnusedWarnings = snd (((,) (::&:@#@$###)) ())+ data (:&:@#@$) :: forall a0123456789876543210.+ (~>) a0123456789876543210 ((~>) a0123456789876543210 (Foo2 a0123456789876543210))+ where+ (::&:@#@$###) :: forall t0123456789876543210+ arg. SameKind (Apply (:&:@#@$) arg) ((:&:@#@$$) arg) =>+ (:&:@#@$) t0123456789876543210+ type instance Apply (:&:@#@$) t0123456789876543210 = (:&:@#@$$) t0123456789876543210+ infixl 5 :&:@#@$+ type MkFoo3Sym2 (t0123456789876543210 :: Bool) (t0123456789876543210 :: Bool) =+ MkFoo3 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (MkFoo3Sym1 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) MkFoo3Sym1KindInference) ())+ data MkFoo3Sym1 (t0123456789876543210 :: Bool) :: (~>) Bool Foo3+ where+ MkFoo3Sym1KindInference :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (MkFoo3Sym1 t0123456789876543210) arg) (MkFoo3Sym2 t0123456789876543210 arg) =>+ MkFoo3Sym1 t0123456789876543210 t0123456789876543210+ type instance Apply (MkFoo3Sym1 t0123456789876543210) t0123456789876543210 = MkFoo3 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings MkFoo3Sym0 where+ suppressUnusedWarnings = snd (((,) MkFoo3Sym0KindInference) ())+ data MkFoo3Sym0 :: (~>) Bool ((~>) Bool Foo3)+ where+ MkFoo3Sym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply MkFoo3Sym0 arg) (MkFoo3Sym1 arg) =>+ MkFoo3Sym0 t0123456789876543210+ type instance Apply MkFoo3Sym0 t0123456789876543210 = MkFoo3Sym1 t0123456789876543210+ type family ShowsPrec_0123456789876543210 (a :: GHC.Types.Nat) (a :: Foo1) (a :: Symbol) :: Symbol where+ ShowsPrec_0123456789876543210 _ MkFoo1 a_0123456789876543210 = Apply (Apply ShowStringSym0 "MkFoo1") a_0123456789876543210+ type ShowsPrec_0123456789876543210Sym3 (a0123456789876543210 :: GHC.Types.Nat) (a0123456789876543210 :: Foo1) (a0123456789876543210 :: Symbol) =+ ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym2KindInference) ())+ data ShowsPrec_0123456789876543210Sym2 (a0123456789876543210 :: GHC.Types.Nat) (a0123456789876543210 :: Foo1) :: (~>) Symbol Symbol+ where+ ShowsPrec_0123456789876543210Sym2KindInference :: forall a0123456789876543210+ a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym3 a0123456789876543210 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym1KindInference) ())+ data ShowsPrec_0123456789876543210Sym1 (a0123456789876543210 :: GHC.Types.Nat) :: (~>) Foo1 ((~>) Symbol Symbol)+ where+ ShowsPrec_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym0KindInference) ())+ data ShowsPrec_0123456789876543210Sym0 :: (~>) GHC.Types.Nat ((~>) Foo1 ((~>) Symbol Symbol))+ where+ ShowsPrec_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>+ ShowsPrec_0123456789876543210Sym0 a0123456789876543210+ type instance Apply ShowsPrec_0123456789876543210Sym0 a0123456789876543210 = ShowsPrec_0123456789876543210Sym1 a0123456789876543210+ instance PShow Foo1 where+ type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a+ type family ShowsPrec_0123456789876543210 (a :: GHC.Types.Nat) (a :: Foo2 a) (a :: Symbol) :: Symbol where+ ShowsPrec_0123456789876543210 p_0123456789876543210 (MkFoo2a arg_0123456789876543210 arg_0123456789876543210) a_0123456789876543210 = Apply (Apply (Apply ShowParenSym0 (Apply (Apply (>@#@$) p_0123456789876543210) (FromInteger 10))) (Apply (Apply (.@#@$) (Apply ShowStringSym0 "MkFoo2a ")) (Apply (Apply (.@#@$) (Apply (Apply ShowsPrecSym0 (FromInteger 11)) arg_0123456789876543210)) (Apply (Apply (.@#@$) ShowSpaceSym0) (Apply (Apply ShowsPrecSym0 (FromInteger 11)) arg_0123456789876543210))))) a_0123456789876543210+ ShowsPrec_0123456789876543210 p_0123456789876543210 (MkFoo2b argL_0123456789876543210 argR_0123456789876543210) a_0123456789876543210 = Apply (Apply (Apply ShowParenSym0 (Apply (Apply (>@#@$) p_0123456789876543210) (FromInteger 5))) (Apply (Apply (.@#@$) (Apply (Apply ShowsPrecSym0 (FromInteger 6)) argL_0123456789876543210)) (Apply (Apply (.@#@$) (Apply ShowStringSym0 " `MkFoo2b` ")) (Apply (Apply ShowsPrecSym0 (FromInteger 6)) argR_0123456789876543210)))) a_0123456789876543210+ ShowsPrec_0123456789876543210 p_0123456789876543210 ((:*:) arg_0123456789876543210 arg_0123456789876543210) a_0123456789876543210 = Apply (Apply (Apply ShowParenSym0 (Apply (Apply (>@#@$) p_0123456789876543210) (FromInteger 10))) (Apply (Apply (.@#@$) (Apply ShowStringSym0 "(:*:) ")) (Apply (Apply (.@#@$) (Apply (Apply ShowsPrecSym0 (FromInteger 11)) arg_0123456789876543210)) (Apply (Apply (.@#@$) ShowSpaceSym0) (Apply (Apply ShowsPrecSym0 (FromInteger 11)) arg_0123456789876543210))))) a_0123456789876543210+ ShowsPrec_0123456789876543210 p_0123456789876543210 ((:&:) argL_0123456789876543210 argR_0123456789876543210) a_0123456789876543210 = Apply (Apply (Apply ShowParenSym0 (Apply (Apply (>@#@$) p_0123456789876543210) (FromInteger 5))) (Apply (Apply (.@#@$) (Apply (Apply ShowsPrecSym0 (FromInteger 6)) argL_0123456789876543210)) (Apply (Apply (.@#@$) (Apply ShowStringSym0 " :&: ")) (Apply (Apply ShowsPrecSym0 (FromInteger 6)) argR_0123456789876543210)))) a_0123456789876543210+ type ShowsPrec_0123456789876543210Sym3 (a0123456789876543210 :: GHC.Types.Nat) (a0123456789876543210 :: Foo2 a0123456789876543210) (a0123456789876543210 :: Symbol) =+ ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym2KindInference) ())+ data ShowsPrec_0123456789876543210Sym2 (a0123456789876543210 :: GHC.Types.Nat) (a0123456789876543210 :: Foo2 a0123456789876543210) :: (~>) Symbol Symbol+ where+ ShowsPrec_0123456789876543210Sym2KindInference :: forall a0123456789876543210+ a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym3 a0123456789876543210 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym1KindInference) ())+ data ShowsPrec_0123456789876543210Sym1 (a0123456789876543210 :: GHC.Types.Nat) :: forall a0123456789876543210.+ (~>) (Foo2 a0123456789876543210) ((~>) Symbol Symbol)+ where+ ShowsPrec_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym0KindInference) ())+ data ShowsPrec_0123456789876543210Sym0 :: forall a0123456789876543210.+ (~>) GHC.Types.Nat ((~>) (Foo2 a0123456789876543210) ((~>) Symbol Symbol))+ where+ ShowsPrec_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>+ ShowsPrec_0123456789876543210Sym0 a0123456789876543210+ type instance Apply ShowsPrec_0123456789876543210Sym0 a0123456789876543210 = ShowsPrec_0123456789876543210Sym1 a0123456789876543210+ instance PShow (Foo2 a) where+ type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a+ type family ShowsPrec_0123456789876543210 (a :: GHC.Types.Nat) (a :: Foo3) (a :: Symbol) :: Symbol where+ ShowsPrec_0123456789876543210 p_0123456789876543210 (MkFoo3 arg_0123456789876543210 arg_0123456789876543210) a_0123456789876543210 = Apply (Apply (Apply ShowParenSym0 (Apply (Apply (>@#@$) p_0123456789876543210) (FromInteger 10))) (Apply (Apply (.@#@$) (Apply ShowStringSym0 "MkFoo3 ")) (Apply (Apply (.@#@$) (Apply ShowCharSym0 "{")) (Apply (Apply (.@#@$) (Apply ShowStringSym0 "getFoo3a = ")) (Apply (Apply (.@#@$) (Apply (Apply ShowsPrecSym0 (FromInteger 0)) arg_0123456789876543210)) (Apply (Apply (.@#@$) ShowCommaSpaceSym0) (Apply (Apply (.@#@$) (Apply ShowStringSym0 "(***) = ")) (Apply (Apply (.@#@$) (Apply (Apply ShowsPrecSym0 (FromInteger 0)) arg_0123456789876543210)) (Apply ShowCharSym0 "}"))))))))) a_0123456789876543210+ type ShowsPrec_0123456789876543210Sym3 (a0123456789876543210 :: GHC.Types.Nat) (a0123456789876543210 :: Foo3) (a0123456789876543210 :: Symbol) =+ ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym2KindInference) ())+ data ShowsPrec_0123456789876543210Sym2 (a0123456789876543210 :: GHC.Types.Nat) (a0123456789876543210 :: Foo3) :: (~>) Symbol Symbol+ where+ ShowsPrec_0123456789876543210Sym2KindInference :: forall a0123456789876543210+ a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym3 a0123456789876543210 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym1KindInference) ())+ data ShowsPrec_0123456789876543210Sym1 (a0123456789876543210 :: GHC.Types.Nat) :: (~>) Foo3 ((~>) Symbol Symbol)+ where+ ShowsPrec_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym0KindInference) ())+ data ShowsPrec_0123456789876543210Sym0 :: (~>) GHC.Types.Nat ((~>) Foo3 ((~>) Symbol Symbol))+ where+ ShowsPrec_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>+ ShowsPrec_0123456789876543210Sym0 a0123456789876543210+ type instance Apply ShowsPrec_0123456789876543210Sym0 a0123456789876543210 = ShowsPrec_0123456789876543210Sym1 a0123456789876543210+ instance PShow Foo3 where+ type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a+ infixl 5 `SMkFoo2b`+ infixl 5 :%*:+ infixl 5 :%&:+ data instance Sing :: Foo1 -> GHC.Types.Type+ where SMkFoo1 :: Sing MkFoo1+ type SFoo1 = (Sing :: Foo1 -> GHC.Types.Type)+ instance SingKind Foo1 where+ type Demote Foo1 = Foo1+ fromSing SMkFoo1 = MkFoo1+ toSing MkFoo1 = SomeSing SMkFoo1+ data instance Sing :: Foo2 a -> GHC.Types.Type+ where+ SMkFoo2a :: forall a (n :: a) (n :: a).+ (Sing (n :: a)) -> (Sing (n :: a)) -> Sing (MkFoo2a n n)+ SMkFoo2b :: forall a (n :: a) (n :: a).+ (Sing (n :: a)) -> (Sing (n :: a)) -> Sing (MkFoo2b n n)+ (:%*:) :: forall a (n :: a) (n :: a).+ (Sing (n :: a)) -> (Sing (n :: a)) -> Sing ((:*:) n n)+ (:%&:) :: forall a (n :: a) (n :: a).+ (Sing (n :: a)) -> (Sing (n :: a)) -> Sing ((:&:) n n)+ type SFoo2 = (Sing :: Foo2 a -> GHC.Types.Type)+ instance SingKind a => SingKind (Foo2 a) where+ type Demote (Foo2 a) = Foo2 (Demote a)+ fromSing (SMkFoo2a b b) = (MkFoo2a (fromSing b)) (fromSing b)+ fromSing (SMkFoo2b b b) = (MkFoo2b (fromSing b)) (fromSing b)+ fromSing ((:%*:) b b) = ((:*:) (fromSing b)) (fromSing b)+ fromSing ((:%&:) b b) = ((:&:) (fromSing b)) (fromSing b)+ toSing (MkFoo2a (b :: Demote a) (b :: Demote a))+ = case ((,) (toSing b :: SomeSing a)) (toSing b :: SomeSing a) of {+ (,) (SomeSing c) (SomeSing c) -> SomeSing ((SMkFoo2a c) c) }+ toSing (MkFoo2b (b :: Demote a) (b :: Demote a))+ = case ((,) (toSing b :: SomeSing a)) (toSing b :: SomeSing a) of {+ (,) (SomeSing c) (SomeSing c) -> SomeSing ((SMkFoo2b c) c) }+ toSing ((:*:) (b :: Demote a) (b :: Demote a))+ = case ((,) (toSing b :: SomeSing a)) (toSing b :: SomeSing a) of {+ (,) (SomeSing c) (SomeSing c) -> SomeSing (((:%*:) c) c) }+ toSing ((:&:) (b :: Demote a) (b :: Demote a))+ = case ((,) (toSing b :: SomeSing a)) (toSing b :: SomeSing a) of {+ (,) (SomeSing c) (SomeSing c) -> SomeSing (((:%&:) c) c) }+ data instance Sing :: Foo3 -> GHC.Types.Type+ where+ SMkFoo3 :: forall (n :: Bool) (n :: Bool).+ {sGetFoo3a :: (Sing (n :: Bool)), %*** :: (Sing (n :: Bool))}+ -> Sing (MkFoo3 n n)+ type SFoo3 = (Sing :: Foo3 -> GHC.Types.Type)+ instance SingKind Foo3 where+ type Demote Foo3 = Foo3+ fromSing (SMkFoo3 b b) = (MkFoo3 (fromSing b)) (fromSing b)+ toSing (MkFoo3 (b :: Demote Bool) (b :: Demote Bool))+ = case+ ((,) (toSing b :: SomeSing Bool)) (toSing b :: SomeSing Bool)+ of {+ (,) (SomeSing c) (SomeSing c) -> SomeSing ((SMkFoo3 c) c) }+ instance SShow Foo1 where+ sShowsPrec ::+ forall (t1 :: GHC.Types.Nat) (t2 :: Foo1) (t3 :: Symbol).+ Sing t1+ -> Sing t2+ -> Sing t3+ -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun GHC.Types.Nat ((~>) Foo1 ((~>) Symbol Symbol))+ -> GHC.Types.Type) t1) t2) t3)+ sShowsPrec+ _+ SMkFoo1+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "MkFoo1")))+ sA_0123456789876543210+ instance SShow a => SShow (Foo2 a) where+ sShowsPrec ::+ forall (t1 :: GHC.Types.Nat) (t2 :: Foo2 a) (t3 :: Symbol).+ Sing t1+ -> Sing t2+ -> Sing t3+ -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun GHC.Types.Nat ((~>) (Foo2 a) ((~>) Symbol Symbol))+ -> GHC.Types.Type) t1) t2) t3)+ sShowsPrec+ (sP_0123456789876543210 :: Sing p_0123456789876543210)+ (SMkFoo2a (sArg_0123456789876543210 :: Sing arg_0123456789876543210)+ (sArg_0123456789876543210 :: Sing arg_0123456789876543210))+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing+ ((applySing ((singFun3 @ShowParenSym0) sShowParen))+ ((applySing+ ((applySing ((singFun2 @(>@#@$)) (%>))) sP_0123456789876543210))+ (sFromInteger (sing :: Sing 10)))))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "MkFoo2a "))))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((applySing+ ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))+ (sFromInteger (sing :: Sing 11))))+ sArg_0123456789876543210)))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((singFun1 @ShowSpaceSym0) sShowSpace)))+ ((applySing+ ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))+ (sFromInteger (sing :: Sing 11))))+ sArg_0123456789876543210))))))+ sA_0123456789876543210+ sShowsPrec+ (sP_0123456789876543210 :: Sing p_0123456789876543210)+ (SMkFoo2b (sArgL_0123456789876543210 :: Sing argL_0123456789876543210)+ (sArgR_0123456789876543210 :: Sing argR_0123456789876543210))+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing+ ((applySing ((singFun3 @ShowParenSym0) sShowParen))+ ((applySing+ ((applySing ((singFun2 @(>@#@$)) (%>))) sP_0123456789876543210))+ (sFromInteger (sing :: Sing 5)))))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((applySing+ ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))+ (sFromInteger (sing :: Sing 6))))+ sArgL_0123456789876543210)))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing " `MkFoo2b` "))))+ ((applySing+ ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))+ (sFromInteger (sing :: Sing 6))))+ sArgR_0123456789876543210)))))+ sA_0123456789876543210+ sShowsPrec+ (sP_0123456789876543210 :: Sing p_0123456789876543210)+ ((:%*:) (sArg_0123456789876543210 :: Sing arg_0123456789876543210)+ (sArg_0123456789876543210 :: Sing arg_0123456789876543210))+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing+ ((applySing ((singFun3 @ShowParenSym0) sShowParen))+ ((applySing+ ((applySing ((singFun2 @(>@#@$)) (%>))) sP_0123456789876543210))+ (sFromInteger (sing :: Sing 10)))))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "(:*:) "))))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((applySing+ ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))+ (sFromInteger (sing :: Sing 11))))+ sArg_0123456789876543210)))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((singFun1 @ShowSpaceSym0) sShowSpace)))+ ((applySing+ ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))+ (sFromInteger (sing :: Sing 11))))+ sArg_0123456789876543210))))))+ sA_0123456789876543210+ sShowsPrec+ (sP_0123456789876543210 :: Sing p_0123456789876543210)+ ((:%&:) (sArgL_0123456789876543210 :: Sing argL_0123456789876543210)+ (sArgR_0123456789876543210 :: Sing argR_0123456789876543210))+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing+ ((applySing ((singFun3 @ShowParenSym0) sShowParen))+ ((applySing+ ((applySing ((singFun2 @(>@#@$)) (%>))) sP_0123456789876543210))+ (sFromInteger (sing :: Sing 5)))))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((applySing+ ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))+ (sFromInteger (sing :: Sing 6))))+ sArgL_0123456789876543210)))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing " :&: "))))+ ((applySing+ ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))+ (sFromInteger (sing :: Sing 6))))+ sArgR_0123456789876543210)))))+ sA_0123456789876543210+ instance SShow Bool => SShow Foo3 where+ sShowsPrec ::+ forall (t1 :: GHC.Types.Nat) (t2 :: Foo3) (t3 :: Symbol).+ Sing t1+ -> Sing t2+ -> Sing t3+ -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun GHC.Types.Nat ((~>) Foo3 ((~>) Symbol Symbol))+ -> GHC.Types.Type) t1) t2) t3)+ sShowsPrec+ (sP_0123456789876543210 :: Sing p_0123456789876543210)+ (SMkFoo3 (sArg_0123456789876543210 :: Sing arg_0123456789876543210)+ (sArg_0123456789876543210 :: Sing arg_0123456789876543210))+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing+ ((applySing ((singFun3 @ShowParenSym0) sShowParen))+ ((applySing+ ((applySing ((singFun2 @(>@#@$)) (%>))) sP_0123456789876543210))+ (sFromInteger (sing :: Sing 10)))))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "MkFoo3 "))))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((applySing ((singFun2 @ShowCharSym0) sShowChar))+ (sing :: Sing "{"))))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "getFoo3a = "))))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((applySing+ ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))+ (sFromInteger (sing :: Sing 0))))+ sArg_0123456789876543210)))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((singFun1 @ShowCommaSpaceSym0) sShowCommaSpace)))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "(***) = "))))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((applySing+ ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))+ (sFromInteger (sing :: Sing 0))))+ sArg_0123456789876543210)))+ ((applySing ((singFun2 @ShowCharSym0) sShowChar))+ (sing :: Sing "}")))))))))))+ sA_0123456789876543210+ deriving instance Show (Sing (z :: Foo1))+ deriving instance Data.Singletons.ShowSing.ShowSing a =>+ Show (Sing (z :: Foo2 a))+ deriving instance Data.Singletons.ShowSing.ShowSing Bool =>+ Show (Sing (z :: Foo3))+ instance SingI MkFoo1 where+ sing = SMkFoo1+ instance (SingI n, SingI n) =>+ SingI (MkFoo2a (n :: a) (n :: a)) where+ sing = (SMkFoo2a sing) sing+ instance SingI (MkFoo2aSym0 :: (~>) a ((~>) a (Foo2 a))) where+ sing = (singFun2 @MkFoo2aSym0) SMkFoo2a+ instance SingI (TyCon2 MkFoo2a :: (~>) a ((~>) a (Foo2 a))) where+ sing = (singFun2 @(TyCon2 MkFoo2a)) SMkFoo2a+ instance SingI d =>+ SingI (MkFoo2aSym1 (d :: a) :: (~>) a (Foo2 a)) where+ sing = (singFun1 @(MkFoo2aSym1 (d :: a))) (SMkFoo2a (sing @d))+ instance SingI d =>+ SingI (TyCon1 (MkFoo2a (d :: a)) :: (~>) a (Foo2 a)) where+ sing = (singFun1 @(TyCon1 (MkFoo2a (d :: a)))) (SMkFoo2a (sing @d))+ instance (SingI n, SingI n) =>+ SingI (MkFoo2b (n :: a) (n :: a)) where+ sing = (SMkFoo2b sing) sing+ instance SingI (MkFoo2bSym0 :: (~>) a ((~>) a (Foo2 a))) where+ sing = (singFun2 @MkFoo2bSym0) SMkFoo2b+ instance SingI (TyCon2 MkFoo2b :: (~>) a ((~>) a (Foo2 a))) where+ sing = (singFun2 @(TyCon2 MkFoo2b)) SMkFoo2b+ instance SingI d =>+ SingI (MkFoo2bSym1 (d :: a) :: (~>) a (Foo2 a)) where+ sing = (singFun1 @(MkFoo2bSym1 (d :: a))) (SMkFoo2b (sing @d))+ instance SingI d =>+ SingI (TyCon1 (MkFoo2b (d :: a)) :: (~>) a (Foo2 a)) where+ sing = (singFun1 @(TyCon1 (MkFoo2b (d :: a)))) (SMkFoo2b (sing @d))+ instance (SingI n, SingI n) =>+ SingI ((:*:) (n :: a) (n :: a)) where+ sing = ((:%*:) sing) sing+ instance SingI ((:*:@#@$) :: (~>) a ((~>) a (Foo2 a))) where+ sing = (singFun2 @(:*:@#@$)) (:%*:)+ instance SingI (TyCon2 (:*:) :: (~>) a ((~>) a (Foo2 a))) where+ sing = (singFun2 @(TyCon2 (:*:))) (:%*:)+ instance SingI d =>+ SingI ((:*:@#@$$) (d :: a) :: (~>) a (Foo2 a)) where+ sing = (singFun1 @((:*:@#@$$) (d :: a))) ((:%*:) (sing @d))+ instance SingI d =>+ SingI (TyCon1 ((:*:) (d :: a)) :: (~>) a (Foo2 a)) where+ sing = (singFun1 @(TyCon1 ((:*:) (d :: a)))) ((:%*:) (sing @d))+ instance (SingI n, SingI n) =>+ SingI ((:&:) (n :: a) (n :: a)) where+ sing = ((:%&:) sing) sing+ instance SingI ((:&:@#@$) :: (~>) a ((~>) a (Foo2 a))) where+ sing = (singFun2 @(:&:@#@$)) (:%&:)+ instance SingI (TyCon2 (:&:) :: (~>) a ((~>) a (Foo2 a))) where+ sing = (singFun2 @(TyCon2 (:&:))) (:%&:)+ instance SingI d =>+ SingI ((:&:@#@$$) (d :: a) :: (~>) a (Foo2 a)) where+ sing = (singFun1 @((:&:@#@$$) (d :: a))) ((:%&:) (sing @d))+ instance SingI d =>+ SingI (TyCon1 ((:&:) (d :: a)) :: (~>) a (Foo2 a)) where+ sing = (singFun1 @(TyCon1 ((:&:) (d :: a)))) ((:%&:) (sing @d))+ instance (SingI n, SingI n) =>+ SingI (MkFoo3 (n :: Bool) (n :: Bool)) where+ sing = (SMkFoo3 sing) sing+ instance SingI (MkFoo3Sym0 :: (~>) Bool ((~>) Bool Foo3)) where+ sing = (singFun2 @MkFoo3Sym0) SMkFoo3+ instance SingI (TyCon2 MkFoo3 :: (~>) Bool ((~>) Bool Foo3)) where+ sing = (singFun2 @(TyCon2 MkFoo3)) SMkFoo3+ instance SingI d =>+ SingI (MkFoo3Sym1 (d :: Bool) :: (~>) Bool Foo3) where+ sing = (singFun1 @(MkFoo3Sym1 (d :: Bool))) (SMkFoo3 (sing @d))+ instance SingI d =>+ SingI (TyCon1 (MkFoo3 (d :: Bool)) :: (~>) Bool Foo3) where+ sing+ = (singFun1 @(TyCon1 (MkFoo3 (d :: Bool)))) (SMkFoo3 (sing @d))
− tests/compile-and-dump/Singletons/StandaloneDeriving.ghc84.template
@@ -1,454 +0,0 @@-Singletons/StandaloneDeriving.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| infixl 6 :*:- - data T a b = a :*: b- data S = S1 | S2- - deriving instance Enum S- deriving instance Bounded S- deriving instance Show S- deriving instance Ord S- deriving instance Eq S- deriving instance Show a => Show (T a ())- deriving instance Ord a => Ord (T a ())- deriving instance Eq a => Eq (T a ()) |]- ======>- infixl 6 :*:- data T a b = a :*: b- data S = S1 | S2- deriving instance Eq a => Eq (T a ())- deriving instance Ord a => Ord (T a ())- deriving instance Show a => Show (T a ())- deriving instance Eq S- deriving instance Ord S- deriving instance Show S- deriving instance Bounded S- deriving instance Enum S- type (:*:@#@$$$) (t :: a0123456789876543210) (t :: b0123456789876543210) =- (:*:) t t- instance SuppressUnusedWarnings (:*:@#@$$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (::*:@#@$$###)) GHC.Tuple.())- data (:*:@#@$$) (l :: a0123456789876543210) (l :: TyFun b0123456789876543210 (T a0123456789876543210 b0123456789876543210))- = forall arg. SameKind (Apply ((:*:@#@$$) l) arg) ((:*:@#@$$$) l arg) =>- (::*:@#@$$###)- type instance Apply ((:*:@#@$$) l) l = (:*:) l l- instance SuppressUnusedWarnings (:*:@#@$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (::*:@#@$###)) GHC.Tuple.())- data (:*:@#@$) (l :: TyFun a0123456789876543210 (TyFun b0123456789876543210 (T a0123456789876543210 b0123456789876543210)- -> GHC.Types.Type))- = forall arg. SameKind (Apply (:*:@#@$) arg) ((:*:@#@$$) arg) =>- (::*:@#@$###)- type instance Apply (:*:@#@$) l = (:*:@#@$$) l- type S1Sym0 = S1- type S2Sym0 = S2- type family Compare_0123456789876543210 (a :: T a ()) (a :: T a ()) :: Ordering where- Compare_0123456789876543210 ((:*:) a_0123456789876543210 a_0123456789876543210) ((:*:) b_0123456789876543210 b_0123456789876543210) = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) '[]))- type Compare_0123456789876543210Sym2 (t :: T a0123456789876543210 ()) (t :: T a0123456789876543210 ()) =- Compare_0123456789876543210 t t- instance SuppressUnusedWarnings Compare_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Compare_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Compare_0123456789876543210Sym1 (l :: T a0123456789876543210 ()) (l :: TyFun (T a0123456789876543210 ()) Ordering)- = forall arg. SameKind (Apply (Compare_0123456789876543210Sym1 l) arg) (Compare_0123456789876543210Sym2 l arg) =>- Compare_0123456789876543210Sym1KindInference- type instance Apply (Compare_0123456789876543210Sym1 l) l = Compare_0123456789876543210 l l- instance SuppressUnusedWarnings Compare_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Compare_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Compare_0123456789876543210Sym0 (l :: TyFun (T a0123456789876543210 ()) (TyFun (T a0123456789876543210 ()) Ordering- -> GHC.Types.Type))- = forall arg. SameKind (Apply Compare_0123456789876543210Sym0 arg) (Compare_0123456789876543210Sym1 arg) =>- Compare_0123456789876543210Sym0KindInference- type instance Apply Compare_0123456789876543210Sym0 l = Compare_0123456789876543210Sym1 l- instance POrd (T a ()) where- type Compare a a = Apply (Apply Compare_0123456789876543210Sym0 a) a- type family ShowsPrec_0123456789876543210 (a :: GHC.Types.Nat) (a :: T a ()) (a :: Symbol) :: Symbol where- ShowsPrec_0123456789876543210 p_0123456789876543210 ((:*:) argL_0123456789876543210 argR_0123456789876543210) a_0123456789876543210 = Apply (Apply (Apply ShowParenSym0 (Apply (Apply (>@#@$) p_0123456789876543210) (FromInteger 6))) (Apply (Apply (.@#@$) (Apply (Apply ShowsPrecSym0 (FromInteger 7)) argL_0123456789876543210)) (Apply (Apply (.@#@$) (Apply ShowStringSym0 " :*: ")) (Apply (Apply ShowsPrecSym0 (FromInteger 7)) argR_0123456789876543210)))) a_0123456789876543210- type ShowsPrec_0123456789876543210Sym3 (t :: GHC.Types.Nat) (t :: T a0123456789876543210 ()) (t :: Symbol) =- ShowsPrec_0123456789876543210 t t t- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym2 (l :: GHC.Types.Nat) (l :: T a0123456789876543210 ()) (l :: TyFun Symbol Symbol)- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 l l) arg) (ShowsPrec_0123456789876543210Sym3 l l arg) =>- ShowsPrec_0123456789876543210Sym2KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym2 l l) l = ShowsPrec_0123456789876543210 l l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym1 (l :: GHC.Types.Nat) (l :: TyFun (T a0123456789876543210 ()) (TyFun Symbol Symbol- -> GHC.Types.Type))- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 l) arg) (ShowsPrec_0123456789876543210Sym2 l arg) =>- ShowsPrec_0123456789876543210Sym1KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym1 l) l = ShowsPrec_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym0 (l :: TyFun GHC.Types.Nat (TyFun (T a0123456789876543210 ()) (TyFun Symbol Symbol- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>- ShowsPrec_0123456789876543210Sym0KindInference- type instance Apply ShowsPrec_0123456789876543210Sym0 l = ShowsPrec_0123456789876543210Sym1 l- instance PShow (T a ()) where- type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a- type family Compare_0123456789876543210 (a :: S) (a :: S) :: Ordering where- Compare_0123456789876543210 S1 S1 = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) '[]- Compare_0123456789876543210 S2 S2 = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) '[]- Compare_0123456789876543210 S1 S2 = LTSym0- Compare_0123456789876543210 S2 S1 = GTSym0- type Compare_0123456789876543210Sym2 (t :: S) (t :: S) =- Compare_0123456789876543210 t t- instance SuppressUnusedWarnings Compare_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Compare_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Compare_0123456789876543210Sym1 (l :: S) (l :: TyFun S Ordering)- = forall arg. SameKind (Apply (Compare_0123456789876543210Sym1 l) arg) (Compare_0123456789876543210Sym2 l arg) =>- Compare_0123456789876543210Sym1KindInference- type instance Apply (Compare_0123456789876543210Sym1 l) l = Compare_0123456789876543210 l l- instance SuppressUnusedWarnings Compare_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Compare_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Compare_0123456789876543210Sym0 (l :: TyFun S (TyFun S Ordering- -> GHC.Types.Type))- = forall arg. SameKind (Apply Compare_0123456789876543210Sym0 arg) (Compare_0123456789876543210Sym1 arg) =>- Compare_0123456789876543210Sym0KindInference- type instance Apply Compare_0123456789876543210Sym0 l = Compare_0123456789876543210Sym1 l- instance POrd S where- type Compare a a = Apply (Apply Compare_0123456789876543210Sym0 a) a- type family ShowsPrec_0123456789876543210 (a :: GHC.Types.Nat) (a :: S) (a :: Symbol) :: Symbol where- ShowsPrec_0123456789876543210 _ S1 a_0123456789876543210 = Apply (Apply ShowStringSym0 "S1") a_0123456789876543210- ShowsPrec_0123456789876543210 _ S2 a_0123456789876543210 = Apply (Apply ShowStringSym0 "S2") a_0123456789876543210- type ShowsPrec_0123456789876543210Sym3 (t :: GHC.Types.Nat) (t :: S) (t :: Symbol) =- ShowsPrec_0123456789876543210 t t t- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym2 (l :: GHC.Types.Nat) (l :: S) (l :: TyFun Symbol Symbol)- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 l l) arg) (ShowsPrec_0123456789876543210Sym3 l l arg) =>- ShowsPrec_0123456789876543210Sym2KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym2 l l) l = ShowsPrec_0123456789876543210 l l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym1 (l :: GHC.Types.Nat) (l :: TyFun S (TyFun Symbol Symbol- -> GHC.Types.Type))- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 l) arg) (ShowsPrec_0123456789876543210Sym2 l arg) =>- ShowsPrec_0123456789876543210Sym1KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym1 l) l = ShowsPrec_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym0 (l :: TyFun GHC.Types.Nat (TyFun S (TyFun Symbol Symbol- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>- ShowsPrec_0123456789876543210Sym0KindInference- type instance Apply ShowsPrec_0123456789876543210Sym0 l = ShowsPrec_0123456789876543210Sym1 l- instance PShow S where- type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a- type family MinBound_0123456789876543210 :: S where- MinBound_0123456789876543210 = S1Sym0- type MinBound_0123456789876543210Sym0 =- MinBound_0123456789876543210- type family MaxBound_0123456789876543210 :: S where- MaxBound_0123456789876543210 = S2Sym0- type MaxBound_0123456789876543210Sym0 =- MaxBound_0123456789876543210- instance PBounded S where- type MinBound = MinBound_0123456789876543210Sym0- type MaxBound = MaxBound_0123456789876543210Sym0- type family Case_0123456789876543210 n t where- Case_0123456789876543210 n True = S2Sym0- Case_0123456789876543210 n False = Apply ErrorSym0 "toEnum: bad argument"- type family Case_0123456789876543210 n t where- Case_0123456789876543210 n True = S1Sym0- Case_0123456789876543210 n False = Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (FromInteger 1))- type family ToEnum_0123456789876543210 (a :: GHC.Types.Nat) :: S where- ToEnum_0123456789876543210 n = Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (FromInteger 0))- type ToEnum_0123456789876543210Sym1 (t :: GHC.Types.Nat) =- ToEnum_0123456789876543210 t- instance SuppressUnusedWarnings ToEnum_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ToEnum_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data ToEnum_0123456789876543210Sym0 (l :: TyFun GHC.Types.Nat S)- = forall arg. SameKind (Apply ToEnum_0123456789876543210Sym0 arg) (ToEnum_0123456789876543210Sym1 arg) =>- ToEnum_0123456789876543210Sym0KindInference- type instance Apply ToEnum_0123456789876543210Sym0 l = ToEnum_0123456789876543210 l- type family FromEnum_0123456789876543210 (a :: S) :: GHC.Types.Nat where- FromEnum_0123456789876543210 S1 = FromInteger 0- FromEnum_0123456789876543210 S2 = FromInteger 1- type FromEnum_0123456789876543210Sym1 (t :: S) =- FromEnum_0123456789876543210 t- instance SuppressUnusedWarnings FromEnum_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) FromEnum_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data FromEnum_0123456789876543210Sym0 (l :: TyFun S GHC.Types.Nat)- = forall arg. SameKind (Apply FromEnum_0123456789876543210Sym0 arg) (FromEnum_0123456789876543210Sym1 arg) =>- FromEnum_0123456789876543210Sym0KindInference- type instance Apply FromEnum_0123456789876543210Sym0 l = FromEnum_0123456789876543210 l- instance PEnum S where- type ToEnum a = Apply ToEnum_0123456789876543210Sym0 a- type FromEnum a = Apply FromEnum_0123456789876543210Sym0 a- type family Equals_0123456789876543210 (a :: T a ()) (b :: T a ()) :: Bool where- Equals_0123456789876543210 ((:*:) a a) ((:*:) b b) = (&&) ((==) a b) ((==) a b)- Equals_0123456789876543210 (_ :: T a ()) (_ :: T a ()) = FalseSym0- instance PEq (T a ()) where- type (==) a b = Equals_0123456789876543210 a b- type family Equals_0123456789876543210 (a :: S) (b :: S) :: Bool where- Equals_0123456789876543210 S1 S1 = TrueSym0- Equals_0123456789876543210 S2 S2 = TrueSym0- Equals_0123456789876543210 (_ :: S) (_ :: S) = FalseSym0- instance PEq S where- type (==) a b = Equals_0123456789876543210 a b- infixl 6 :%*:- data instance Sing (z :: T a b)- where- (:%*:) :: forall (n :: a) (n :: b).- (Sing (n :: a)) -> (Sing (n :: b)) -> Sing ((:*:) n n)- type ST = (Sing :: T a b -> GHC.Types.Type)- instance (SingKind a, SingKind b) => SingKind (T a b) where- type Demote (T a b) = T (Demote a) (Demote b)- fromSing ((:%*:) b b) = ((:*:) (fromSing b)) (fromSing b)- toSing ((:*:) (b :: Demote a) (b :: Demote b))- = case- (GHC.Tuple.(,) (toSing b :: SomeSing a)) (toSing b :: SomeSing b)- of {- GHC.Tuple.(,) (SomeSing c) (SomeSing c)- -> SomeSing (((:%*:) c) c) }- data instance Sing (z :: S)- where- SS1 :: Sing S1- SS2 :: Sing S2- type SS = (Sing :: S -> GHC.Types.Type)- instance SingKind S where- type Demote S = S- fromSing SS1 = S1- fromSing SS2 = S2- toSing S1 = SomeSing SS1- toSing S2 = SomeSing SS2- instance SOrd a => SOrd (T a ()) where- sCompare ::- forall (t1 :: T a ()) (t2 :: T a ()).- Sing t1- -> Sing t2- -> Sing (Apply (Apply (CompareSym0 :: TyFun (T a ()) (TyFun (T a ()) Ordering- -> GHC.Types.Type)- -> GHC.Types.Type) t1) t2)- sCompare- ((:%*:) (sA_0123456789876543210 :: Sing a_0123456789876543210)- (sA_0123456789876543210 :: Sing a_0123456789876543210))- ((:%*:) (sB_0123456789876543210 :: Sing b_0123456789876543210)- (sB_0123456789876543210 :: Sing b_0123456789876543210))- = (applySing- ((applySing- ((applySing ((singFun3 @FoldlSym0) sFoldl))- ((singFun2 @ThenCmpSym0) sThenCmp)))- SEQ))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- SNil))- instance SShow a => SShow (T a ()) where- sShowsPrec ::- forall (t1 :: GHC.Types.Nat) (t2 :: T a ()) (t3 :: Symbol).- Sing t1- -> Sing t2- -> Sing t3- -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun GHC.Types.Nat (TyFun (T a ()) (TyFun Symbol Symbol- -> GHC.Types.Type)- -> GHC.Types.Type)- -> GHC.Types.Type) t1) t2) t3)- sShowsPrec- (sP_0123456789876543210 :: Sing p_0123456789876543210)- ((:%*:) (sArgL_0123456789876543210 :: Sing argL_0123456789876543210)- (sArgR_0123456789876543210 :: Sing argR_0123456789876543210))- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing- ((applySing ((singFun3 @ShowParenSym0) sShowParen))- ((applySing- ((applySing ((singFun2 @(>@#@$)) (%>))) sP_0123456789876543210))- (sFromInteger (sing :: Sing 6)))))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((applySing- ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))- (sFromInteger (sing :: Sing 7))))- sArgL_0123456789876543210)))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing " :*: "))))- ((applySing- ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))- (sFromInteger (sing :: Sing 7))))- sArgR_0123456789876543210)))))- sA_0123456789876543210- instance SOrd S where- sCompare ::- forall (t1 :: S) (t2 :: S).- Sing t1- -> Sing t2- -> Sing (Apply (Apply (CompareSym0 :: TyFun S (TyFun S Ordering- -> GHC.Types.Type)- -> GHC.Types.Type) t1) t2)- sCompare SS1 SS1- = (applySing- ((applySing- ((applySing ((singFun3 @FoldlSym0) sFoldl))- ((singFun2 @ThenCmpSym0) sThenCmp)))- SEQ))- SNil- sCompare SS2 SS2- = (applySing- ((applySing- ((applySing ((singFun3 @FoldlSym0) sFoldl))- ((singFun2 @ThenCmpSym0) sThenCmp)))- SEQ))- SNil- sCompare SS1 SS2 = SLT- sCompare SS2 SS1 = SGT- instance SShow S where- sShowsPrec ::- forall (t1 :: GHC.Types.Nat) (t2 :: S) (t3 :: Symbol).- Sing t1- -> Sing t2- -> Sing t3- -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun GHC.Types.Nat (TyFun S (TyFun Symbol Symbol- -> GHC.Types.Type)- -> GHC.Types.Type)- -> GHC.Types.Type) t1) t2) t3)- sShowsPrec- _- SS1- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "S1")))- sA_0123456789876543210- sShowsPrec- _- SS2- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "S2")))- sA_0123456789876543210- instance SBounded S where- sMinBound :: Sing (MinBoundSym0 :: S)- sMaxBound :: Sing (MaxBoundSym0 :: S)- sMinBound = SS1- sMaxBound = SS2- instance SEnum S where- sToEnum ::- forall (t :: GHC.Types.Nat).- Sing t- -> Sing (Apply (ToEnumSym0 :: TyFun GHC.Types.Nat S- -> GHC.Types.Type) t)- sFromEnum ::- forall (t :: S).- Sing t- -> Sing (Apply (FromEnumSym0 :: TyFun S GHC.Types.Nat- -> GHC.Types.Type) t)- sToEnum (sN :: Sing n)- = case- (applySing ((applySing ((singFun2 @(==@#@$)) (%==))) sN))- (sFromInteger (sing :: Sing 0))- of- STrue -> SS1- SFalse- -> case- (applySing ((applySing ((singFun2 @(==@#@$)) (%==))) sN))- (sFromInteger (sing :: Sing 1))- of- STrue -> SS2- SFalse -> sError (sing :: Sing "toEnum: bad argument") ::- Sing (Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (FromInteger 1))) ::- Sing (Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (FromInteger 0)))- sFromEnum SS1 = sFromInteger (sing :: Sing 0)- sFromEnum SS2 = sFromInteger (sing :: Sing 1)- instance SEq a => SEq (T a ()) where- (%==) ((:%*:) a a) ((:%*:) b b)- = ((%&&) (((%==) a) b)) (((%==) a) b)- instance SDecide a => SDecide (T a ()) where- (%~) ((:%*:) a a) ((:%*:) b b)- = case (GHC.Tuple.(,) (((%~) a) b)) (((%~) a) b) of- GHC.Tuple.(,) (Proved Refl) (Proved Refl) -> Proved Refl- GHC.Tuple.(,) (Disproved contra) _- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- GHC.Tuple.(,) _ (Disproved contra)- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- instance SEq S where- (%==) SS1 SS1 = STrue- (%==) SS1 SS2 = SFalse- (%==) SS2 SS1 = SFalse- (%==) SS2 SS2 = STrue- instance SDecide S where- (%~) SS1 SS1 = Proved Refl- (%~) SS1 SS2 = Disproved (\ x -> case x of)- (%~) SS2 SS1 = Disproved (\ x -> case x of)- (%~) SS2 SS2 = Proved Refl- instance Data.Singletons.ShowSing.ShowSing a =>- Data.Singletons.ShowSing.ShowSing (T a ()) where- Data.Singletons.ShowSing.showsSingPrec- p_0123456789876543210- ((:%*:) argL_0123456789876543210 argR_0123456789876543210)- = (showParen (((>) p_0123456789876543210) 9))- (((.)- ((Data.Singletons.ShowSing.showsSingPrec 10)- argL_0123456789876543210))- (((.) (showString " :%*: "))- ((Data.Singletons.ShowSing.showsSingPrec 10)- argR_0123456789876543210)))- instance Data.Singletons.ShowSing.ShowSing a =>- Show (Sing (z :: T a ())) where- showsPrec = Data.Singletons.ShowSing.showsSingPrec- instance Data.Singletons.ShowSing.ShowSing S where- Data.Singletons.ShowSing.showsSingPrec _ SS1 = showString "SS1"- Data.Singletons.ShowSing.showsSingPrec _ SS2 = showString "SS2"- instance Show (Sing (z :: S)) where- showsPrec = Data.Singletons.ShowSing.showsSingPrec- instance (SingI n, SingI n) =>- SingI ((:*:) (n :: a) (n :: b)) where- sing = ((:%*:) sing) sing- instance SingI S1 where- sing = SS1- instance SingI S2 where- sing = SS2
+ tests/compile-and-dump/Singletons/StandaloneDeriving.ghc86.template view
@@ -0,0 +1,447 @@+Singletons/StandaloneDeriving.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| infixl 6 :*:+ + data T a b = a :*: b+ data S = S1 | S2+ + deriving instance Enum S+ deriving instance Bounded S+ deriving instance Show S+ deriving instance Ord S+ deriving instance Eq S+ deriving instance Show a => Show (T a ())+ deriving instance Ord a => Ord (T a ())+ deriving instance Eq a => Eq (T a ()) |]+ ======>+ infixl 6 :*:+ data T a b = a :*: b+ data S = S1 | S2+ deriving instance Eq a => Eq (T a ())+ deriving instance Ord a => Ord (T a ())+ deriving instance Show a => Show (T a ())+ deriving instance Eq S+ deriving instance Ord S+ deriving instance Show S+ deriving instance Bounded S+ deriving instance Enum S+ type (:*:@#@$$$) (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: b0123456789876543210) =+ (:*:) t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings ((:*:@#@$$) t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) (::*:@#@$$###)) ())+ data (:*:@#@$$) (t0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210.+ (~>) b0123456789876543210 (T a0123456789876543210 b0123456789876543210)+ where+ (::*:@#@$$###) :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply ((:*:@#@$$) t0123456789876543210) arg) ((:*:@#@$$$) t0123456789876543210 arg) =>+ (:*:@#@$$) t0123456789876543210 t0123456789876543210+ type instance Apply ((:*:@#@$$) t0123456789876543210) t0123456789876543210 = (:*:) t0123456789876543210 t0123456789876543210+ infixl 6 :*:@#@$$+ instance SuppressUnusedWarnings (:*:@#@$) where+ suppressUnusedWarnings = snd (((,) (::*:@#@$###)) ())+ data (:*:@#@$) :: forall a0123456789876543210 b0123456789876543210.+ (~>) a0123456789876543210 ((~>) b0123456789876543210 (T a0123456789876543210 b0123456789876543210))+ where+ (::*:@#@$###) :: forall t0123456789876543210+ arg. SameKind (Apply (:*:@#@$) arg) ((:*:@#@$$) arg) =>+ (:*:@#@$) t0123456789876543210+ type instance Apply (:*:@#@$) t0123456789876543210 = (:*:@#@$$) t0123456789876543210+ infixl 6 :*:@#@$+ type S1Sym0 = S1+ type S2Sym0 = S2+ type family Compare_0123456789876543210 (a :: T a ()) (a :: T a ()) :: Ordering where+ Compare_0123456789876543210 ((:*:) a_0123456789876543210 a_0123456789876543210) ((:*:) b_0123456789876543210 b_0123456789876543210) = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) '[]))+ type Compare_0123456789876543210Sym2 (a0123456789876543210 :: T a0123456789876543210 ()) (a0123456789876543210 :: T a0123456789876543210 ()) =+ Compare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Compare_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Compare_0123456789876543210Sym1KindInference) ())+ data Compare_0123456789876543210Sym1 (a0123456789876543210 :: T a0123456789876543210 ()) :: (~>) (T a0123456789876543210 ()) Ordering+ where+ Compare_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Compare_0123456789876543210Sym1 a0123456789876543210) arg) (Compare_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Compare_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Compare_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = Compare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Compare_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Compare_0123456789876543210Sym0KindInference) ())+ data Compare_0123456789876543210Sym0 :: forall a0123456789876543210.+ (~>) (T a0123456789876543210 ()) ((~>) (T a0123456789876543210 ()) Ordering)+ where+ Compare_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Compare_0123456789876543210Sym0 arg) (Compare_0123456789876543210Sym1 arg) =>+ Compare_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Compare_0123456789876543210Sym0 a0123456789876543210 = Compare_0123456789876543210Sym1 a0123456789876543210+ instance POrd (T a ()) where+ type Compare a a = Apply (Apply Compare_0123456789876543210Sym0 a) a+ type family ShowsPrec_0123456789876543210 (a :: GHC.Types.Nat) (a :: T a ()) (a :: Symbol) :: Symbol where+ ShowsPrec_0123456789876543210 p_0123456789876543210 ((:*:) argL_0123456789876543210 argR_0123456789876543210) a_0123456789876543210 = Apply (Apply (Apply ShowParenSym0 (Apply (Apply (>@#@$) p_0123456789876543210) (FromInteger 6))) (Apply (Apply (.@#@$) (Apply (Apply ShowsPrecSym0 (FromInteger 7)) argL_0123456789876543210)) (Apply (Apply (.@#@$) (Apply ShowStringSym0 " :*: ")) (Apply (Apply ShowsPrecSym0 (FromInteger 7)) argR_0123456789876543210)))) a_0123456789876543210+ type ShowsPrec_0123456789876543210Sym3 (a0123456789876543210 :: GHC.Types.Nat) (a0123456789876543210 :: T a0123456789876543210 ()) (a0123456789876543210 :: Symbol) =+ ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym2KindInference) ())+ data ShowsPrec_0123456789876543210Sym2 (a0123456789876543210 :: GHC.Types.Nat) (a0123456789876543210 :: T a0123456789876543210 ()) :: (~>) Symbol Symbol+ where+ ShowsPrec_0123456789876543210Sym2KindInference :: forall a0123456789876543210+ a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym3 a0123456789876543210 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym1KindInference) ())+ data ShowsPrec_0123456789876543210Sym1 (a0123456789876543210 :: GHC.Types.Nat) :: forall a0123456789876543210.+ (~>) (T a0123456789876543210 ()) ((~>) Symbol Symbol)+ where+ ShowsPrec_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym0KindInference) ())+ data ShowsPrec_0123456789876543210Sym0 :: forall a0123456789876543210.+ (~>) GHC.Types.Nat ((~>) (T a0123456789876543210 ()) ((~>) Symbol Symbol))+ where+ ShowsPrec_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>+ ShowsPrec_0123456789876543210Sym0 a0123456789876543210+ type instance Apply ShowsPrec_0123456789876543210Sym0 a0123456789876543210 = ShowsPrec_0123456789876543210Sym1 a0123456789876543210+ instance PShow (T a ()) where+ type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a+ type family Compare_0123456789876543210 (a :: S) (a :: S) :: Ordering where+ Compare_0123456789876543210 S1 S1 = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) '[]+ Compare_0123456789876543210 S2 S2 = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) '[]+ Compare_0123456789876543210 S1 S2 = LTSym0+ Compare_0123456789876543210 S2 S1 = GTSym0+ type Compare_0123456789876543210Sym2 (a0123456789876543210 :: S) (a0123456789876543210 :: S) =+ Compare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Compare_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Compare_0123456789876543210Sym1KindInference) ())+ data Compare_0123456789876543210Sym1 (a0123456789876543210 :: S) :: (~>) S Ordering+ where+ Compare_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Compare_0123456789876543210Sym1 a0123456789876543210) arg) (Compare_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Compare_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Compare_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = Compare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Compare_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Compare_0123456789876543210Sym0KindInference) ())+ data Compare_0123456789876543210Sym0 :: (~>) S ((~>) S Ordering)+ where+ Compare_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Compare_0123456789876543210Sym0 arg) (Compare_0123456789876543210Sym1 arg) =>+ Compare_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Compare_0123456789876543210Sym0 a0123456789876543210 = Compare_0123456789876543210Sym1 a0123456789876543210+ instance POrd S where+ type Compare a a = Apply (Apply Compare_0123456789876543210Sym0 a) a+ type family ShowsPrec_0123456789876543210 (a :: GHC.Types.Nat) (a :: S) (a :: Symbol) :: Symbol where+ ShowsPrec_0123456789876543210 _ S1 a_0123456789876543210 = Apply (Apply ShowStringSym0 "S1") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ S2 a_0123456789876543210 = Apply (Apply ShowStringSym0 "S2") a_0123456789876543210+ type ShowsPrec_0123456789876543210Sym3 (a0123456789876543210 :: GHC.Types.Nat) (a0123456789876543210 :: S) (a0123456789876543210 :: Symbol) =+ ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym2KindInference) ())+ data ShowsPrec_0123456789876543210Sym2 (a0123456789876543210 :: GHC.Types.Nat) (a0123456789876543210 :: S) :: (~>) Symbol Symbol+ where+ ShowsPrec_0123456789876543210Sym2KindInference :: forall a0123456789876543210+ a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym3 a0123456789876543210 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym1KindInference) ())+ data ShowsPrec_0123456789876543210Sym1 (a0123456789876543210 :: GHC.Types.Nat) :: (~>) S ((~>) Symbol Symbol)+ where+ ShowsPrec_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym0KindInference) ())+ data ShowsPrec_0123456789876543210Sym0 :: (~>) GHC.Types.Nat ((~>) S ((~>) Symbol Symbol))+ where+ ShowsPrec_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>+ ShowsPrec_0123456789876543210Sym0 a0123456789876543210+ type instance Apply ShowsPrec_0123456789876543210Sym0 a0123456789876543210 = ShowsPrec_0123456789876543210Sym1 a0123456789876543210+ instance PShow S where+ type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a+ type family MinBound_0123456789876543210 :: S where+ MinBound_0123456789876543210 = S1Sym0+ type MinBound_0123456789876543210Sym0 =+ MinBound_0123456789876543210+ type family MaxBound_0123456789876543210 :: S where+ MaxBound_0123456789876543210 = S2Sym0+ type MaxBound_0123456789876543210Sym0 =+ MaxBound_0123456789876543210+ instance PBounded S where+ type MinBound = MinBound_0123456789876543210Sym0+ type MaxBound = MaxBound_0123456789876543210Sym0+ type family Case_0123456789876543210 n t where+ Case_0123456789876543210 n 'True = S2Sym0+ Case_0123456789876543210 n 'False = Apply ErrorSym0 "toEnum: bad argument"+ type family Case_0123456789876543210 n t where+ Case_0123456789876543210 n 'True = S1Sym0+ Case_0123456789876543210 n 'False = Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (FromInteger 1))+ type family ToEnum_0123456789876543210 (a :: GHC.Types.Nat) :: S where+ ToEnum_0123456789876543210 n = Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (FromInteger 0))+ type ToEnum_0123456789876543210Sym1 (a0123456789876543210 :: GHC.Types.Nat) =+ ToEnum_0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ToEnum_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) ToEnum_0123456789876543210Sym0KindInference) ())+ data ToEnum_0123456789876543210Sym0 :: (~>) GHC.Types.Nat S+ where+ ToEnum_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply ToEnum_0123456789876543210Sym0 arg) (ToEnum_0123456789876543210Sym1 arg) =>+ ToEnum_0123456789876543210Sym0 a0123456789876543210+ type instance Apply ToEnum_0123456789876543210Sym0 a0123456789876543210 = ToEnum_0123456789876543210 a0123456789876543210+ type family FromEnum_0123456789876543210 (a :: S) :: GHC.Types.Nat where+ FromEnum_0123456789876543210 S1 = FromInteger 0+ FromEnum_0123456789876543210 S2 = FromInteger 1+ type FromEnum_0123456789876543210Sym1 (a0123456789876543210 :: S) =+ FromEnum_0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings FromEnum_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) FromEnum_0123456789876543210Sym0KindInference) ())+ data FromEnum_0123456789876543210Sym0 :: (~>) S GHC.Types.Nat+ where+ FromEnum_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply FromEnum_0123456789876543210Sym0 arg) (FromEnum_0123456789876543210Sym1 arg) =>+ FromEnum_0123456789876543210Sym0 a0123456789876543210+ type instance Apply FromEnum_0123456789876543210Sym0 a0123456789876543210 = FromEnum_0123456789876543210 a0123456789876543210+ instance PEnum S where+ type ToEnum a = Apply ToEnum_0123456789876543210Sym0 a+ type FromEnum a = Apply FromEnum_0123456789876543210Sym0 a+ type family Equals_0123456789876543210 (a :: T a ()) (b :: T a ()) :: Bool where+ Equals_0123456789876543210 ((:*:) a a) ((:*:) b b) = (&&) ((==) a b) ((==) a b)+ Equals_0123456789876543210 (_ :: T a ()) (_ :: T a ()) = FalseSym0+ instance PEq (T a ()) where+ type (==) a b = Equals_0123456789876543210 a b+ type family Equals_0123456789876543210 (a :: S) (b :: S) :: Bool where+ Equals_0123456789876543210 S1 S1 = TrueSym0+ Equals_0123456789876543210 S2 S2 = TrueSym0+ Equals_0123456789876543210 (_ :: S) (_ :: S) = FalseSym0+ instance PEq S where+ type (==) a b = Equals_0123456789876543210 a b+ infixl 6 :%*:+ data instance Sing :: T a b -> GHC.Types.Type+ where+ (:%*:) :: forall a b (n :: a) (n :: b).+ (Sing (n :: a)) -> (Sing (n :: b)) -> Sing ((:*:) n n)+ type ST = (Sing :: T a b -> GHC.Types.Type)+ instance (SingKind a, SingKind b) => SingKind (T a b) where+ type Demote (T a b) = T (Demote a) (Demote b)+ fromSing ((:%*:) b b) = ((:*:) (fromSing b)) (fromSing b)+ toSing ((:*:) (b :: Demote a) (b :: Demote b))+ = case ((,) (toSing b :: SomeSing a)) (toSing b :: SomeSing b) of {+ (,) (SomeSing c) (SomeSing c) -> SomeSing (((:%*:) c) c) }+ data instance Sing :: S -> GHC.Types.Type+ where+ SS1 :: Sing S1+ SS2 :: Sing S2+ type SS = (Sing :: S -> GHC.Types.Type)+ instance SingKind S where+ type Demote S = S+ fromSing SS1 = S1+ fromSing SS2 = S2+ toSing S1 = SomeSing SS1+ toSing S2 = SomeSing SS2+ instance SOrd a => SOrd (T a ()) where+ sCompare ::+ forall (t1 :: T a ()) (t2 :: T a ()).+ Sing t1+ -> Sing t2+ -> Sing (Apply (Apply (CompareSym0 :: TyFun (T a ()) ((~>) (T a ()) Ordering)+ -> GHC.Types.Type) t1) t2)+ sCompare+ ((:%*:) (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210))+ ((:%*:) (sB_0123456789876543210 :: Sing b_0123456789876543210)+ (sB_0123456789876543210 :: Sing b_0123456789876543210))+ = (applySing+ ((applySing+ ((applySing ((singFun3 @FoldlSym0) sFoldl))+ ((singFun2 @ThenCmpSym0) sThenCmp)))+ SEQ))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ SNil))+ instance SShow a => SShow (T a ()) where+ sShowsPrec ::+ forall (t1 :: GHC.Types.Nat) (t2 :: T a ()) (t3 :: Symbol).+ Sing t1+ -> Sing t2+ -> Sing t3+ -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun GHC.Types.Nat ((~>) (T a ()) ((~>) Symbol Symbol))+ -> GHC.Types.Type) t1) t2) t3)+ sShowsPrec+ (sP_0123456789876543210 :: Sing p_0123456789876543210)+ ((:%*:) (sArgL_0123456789876543210 :: Sing argL_0123456789876543210)+ (sArgR_0123456789876543210 :: Sing argR_0123456789876543210))+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing+ ((applySing ((singFun3 @ShowParenSym0) sShowParen))+ ((applySing+ ((applySing ((singFun2 @(>@#@$)) (%>))) sP_0123456789876543210))+ (sFromInteger (sing :: Sing 6)))))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((applySing+ ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))+ (sFromInteger (sing :: Sing 7))))+ sArgL_0123456789876543210)))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing " :*: "))))+ ((applySing+ ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))+ (sFromInteger (sing :: Sing 7))))+ sArgR_0123456789876543210)))))+ sA_0123456789876543210+ instance SOrd S where+ sCompare ::+ forall (t1 :: S) (t2 :: S).+ Sing t1+ -> Sing t2+ -> Sing (Apply (Apply (CompareSym0 :: TyFun S ((~>) S Ordering)+ -> GHC.Types.Type) t1) t2)+ sCompare SS1 SS1+ = (applySing+ ((applySing+ ((applySing ((singFun3 @FoldlSym0) sFoldl))+ ((singFun2 @ThenCmpSym0) sThenCmp)))+ SEQ))+ SNil+ sCompare SS2 SS2+ = (applySing+ ((applySing+ ((applySing ((singFun3 @FoldlSym0) sFoldl))+ ((singFun2 @ThenCmpSym0) sThenCmp)))+ SEQ))+ SNil+ sCompare SS1 SS2 = SLT+ sCompare SS2 SS1 = SGT+ instance SShow S where+ sShowsPrec ::+ forall (t1 :: GHC.Types.Nat) (t2 :: S) (t3 :: Symbol).+ Sing t1+ -> Sing t2+ -> Sing t3+ -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun GHC.Types.Nat ((~>) S ((~>) Symbol Symbol))+ -> GHC.Types.Type) t1) t2) t3)+ sShowsPrec+ _+ SS1+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "S1")))+ sA_0123456789876543210+ sShowsPrec+ _+ SS2+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "S2")))+ sA_0123456789876543210+ instance SBounded S where+ sMinBound :: Sing (MinBoundSym0 :: S)+ sMaxBound :: Sing (MaxBoundSym0 :: S)+ sMinBound = SS1+ sMaxBound = SS2+ instance SEnum S where+ sToEnum ::+ forall (t :: GHC.Types.Nat).+ Sing t+ -> Sing (Apply (ToEnumSym0 :: TyFun GHC.Types.Nat S+ -> GHC.Types.Type) t)+ sFromEnum ::+ forall (t :: S).+ Sing t+ -> Sing (Apply (FromEnumSym0 :: TyFun S GHC.Types.Nat+ -> GHC.Types.Type) t)+ sToEnum (sN :: Sing n)+ = (case+ (applySing ((applySing ((singFun2 @(==@#@$)) (%==))) sN))+ (sFromInteger (sing :: Sing 0))+ of+ STrue -> SS1+ SFalse+ -> (case+ (applySing ((applySing ((singFun2 @(==@#@$)) (%==))) sN))+ (sFromInteger (sing :: Sing 1))+ of+ STrue -> SS2+ SFalse -> sError (sing :: Sing "toEnum: bad argument")) ::+ Sing (Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (FromInteger 1)))) ::+ Sing (Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (FromInteger 0)))+ sFromEnum SS1 = sFromInteger (sing :: Sing 0)+ sFromEnum SS2 = sFromInteger (sing :: Sing 1)+ instance SEq a => SEq (T a ()) where+ (%==) ((:%*:) a a) ((:%*:) b b)+ = ((%&&) (((%==) a) b)) (((%==) a) b)+ instance SDecide a => SDecide (T a ()) where+ (%~) ((:%*:) a a) ((:%*:) b b)+ = case ((,) (((%~) a) b)) (((%~) a) b) of+ (,) (Proved Refl) (Proved Refl) -> Proved Refl+ (,) (Disproved contra) _+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ (,) _ (Disproved contra)+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ instance SEq S where+ (%==) SS1 SS1 = STrue+ (%==) SS1 SS2 = SFalse+ (%==) SS2 SS1 = SFalse+ (%==) SS2 SS2 = STrue+ instance SDecide S where+ (%~) SS1 SS1 = Proved Refl+ (%~) SS1 SS2 = Disproved (\ x -> case x of)+ (%~) SS2 SS1 = Disproved (\ x -> case x of)+ (%~) SS2 SS2 = Proved Refl+ deriving instance Data.Singletons.ShowSing.ShowSing a =>+ Show (Sing (z :: T a ()))+ deriving instance Show (Sing (z :: S))+ instance (SingI n, SingI n) =>+ SingI ((:*:) (n :: a) (n :: b)) where+ sing = ((:%*:) sing) sing+ instance SingI ((:*:@#@$) :: (~>) a ((~>) b (T a b))) where+ sing = (singFun2 @(:*:@#@$)) (:%*:)+ instance SingI (TyCon2 (:*:) :: (~>) a ((~>) b (T a b))) where+ sing = (singFun2 @(TyCon2 (:*:))) (:%*:)+ instance SingI d =>+ SingI ((:*:@#@$$) (d :: a) :: (~>) b (T a b)) where+ sing = (singFun1 @((:*:@#@$$) (d :: a))) ((:%*:) (sing @d))+ instance SingI d =>+ SingI (TyCon1 ((:*:) (d :: a)) :: (~>) b (T a b)) where+ sing = (singFun1 @(TyCon1 ((:*:) (d :: a)))) ((:%*:) (sing @d))+ instance SingI S1 where+ sing = SS1+ instance SingI S2 where+ sing = SS2
− tests/compile-and-dump/Singletons/Star.ghc84.template
@@ -1,405 +0,0 @@-Singletons/Star.hs:0:0:: Splicing declarations- singletonStar [''Nat, ''Int, ''String, ''Maybe, ''Vec]- ======>- data Rep- = Singletons.Star.Nat |- Singletons.Star.Int |- Singletons.Star.String |- Singletons.Star.Maybe Rep |- Singletons.Star.Vec Rep Nat- deriving (Eq, Ord, Read, Show)- type NatSym0 = Nat- type IntSym0 = Int- type StringSym0 = String- type MaybeSym1 (t :: Type) = Maybe t- instance SuppressUnusedWarnings MaybeSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) MaybeSym0KindInference) GHC.Tuple.())- data MaybeSym0 (l :: TyFun Type Type)- = forall arg. SameKind (Apply MaybeSym0 arg) (MaybeSym1 arg) =>- MaybeSym0KindInference- type instance Apply MaybeSym0 l = Maybe l- type VecSym2 (t :: Type) (t :: Nat) = Vec t t- instance SuppressUnusedWarnings VecSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) VecSym1KindInference) GHC.Tuple.())- data VecSym1 (l :: Type) (l :: TyFun Nat Type)- = forall arg. SameKind (Apply (VecSym1 l) arg) (VecSym2 l arg) =>- VecSym1KindInference- type instance Apply (VecSym1 l) l = Vec l l- instance SuppressUnusedWarnings VecSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) VecSym0KindInference) GHC.Tuple.())- data VecSym0 (l :: TyFun Type (TyFun Nat Type -> Type))- = forall arg. SameKind (Apply VecSym0 arg) (VecSym1 arg) =>- VecSym0KindInference- type instance Apply VecSym0 l = VecSym1 l- type family Equals_0123456789876543210 (a :: Type) (b :: Type) :: Bool where- Equals_0123456789876543210 Nat Nat = TrueSym0- Equals_0123456789876543210 Int Int = TrueSym0- Equals_0123456789876543210 String String = TrueSym0- Equals_0123456789876543210 (Maybe a) (Maybe b) = (==) a b- Equals_0123456789876543210 (Vec a a) (Vec b b) = (&&) ((==) a b) ((==) a b)- Equals_0123456789876543210 (_ :: Type) (_ :: Type) = FalseSym0- instance PEq Type where- type (==) a b = Equals_0123456789876543210 a b- type family Compare_0123456789876543210 (a :: Type) (a :: Type) :: Ordering where- Compare_0123456789876543210 Nat Nat = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) '[]- Compare_0123456789876543210 Int Int = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) '[]- Compare_0123456789876543210 String String = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) '[]- Compare_0123456789876543210 (Maybe a_0123456789876543210) (Maybe b_0123456789876543210) = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) '[])- Compare_0123456789876543210 (Vec a_0123456789876543210 a_0123456789876543210) (Vec b_0123456789876543210 b_0123456789876543210) = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) '[]))- Compare_0123456789876543210 Nat Int = LTSym0- Compare_0123456789876543210 Nat String = LTSym0- Compare_0123456789876543210 Nat (Maybe _) = LTSym0- Compare_0123456789876543210 Nat (Vec _ _) = LTSym0- Compare_0123456789876543210 Int Nat = GTSym0- Compare_0123456789876543210 Int String = LTSym0- Compare_0123456789876543210 Int (Maybe _) = LTSym0- Compare_0123456789876543210 Int (Vec _ _) = LTSym0- Compare_0123456789876543210 String Nat = GTSym0- Compare_0123456789876543210 String Int = GTSym0- Compare_0123456789876543210 String (Maybe _) = LTSym0- Compare_0123456789876543210 String (Vec _ _) = LTSym0- Compare_0123456789876543210 (Maybe _) Nat = GTSym0- Compare_0123456789876543210 (Maybe _) Int = GTSym0- Compare_0123456789876543210 (Maybe _) String = GTSym0- Compare_0123456789876543210 (Maybe _) (Vec _ _) = LTSym0- Compare_0123456789876543210 (Vec _ _) Nat = GTSym0- Compare_0123456789876543210 (Vec _ _) Int = GTSym0- Compare_0123456789876543210 (Vec _ _) String = GTSym0- Compare_0123456789876543210 (Vec _ _) (Maybe _) = GTSym0- type Compare_0123456789876543210Sym2 (t :: Type) (t :: Type) =- Compare_0123456789876543210 t t- instance SuppressUnusedWarnings Compare_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Compare_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Compare_0123456789876543210Sym1 (l :: Type) (l :: TyFun Type Ordering)- = forall arg. SameKind (Apply (Compare_0123456789876543210Sym1 l) arg) (Compare_0123456789876543210Sym2 l arg) =>- Compare_0123456789876543210Sym1KindInference- type instance Apply (Compare_0123456789876543210Sym1 l) l = Compare_0123456789876543210 l l- instance SuppressUnusedWarnings Compare_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Compare_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Compare_0123456789876543210Sym0 (l :: TyFun Type (TyFun Type Ordering- -> Type))- = forall arg. SameKind (Apply Compare_0123456789876543210Sym0 arg) (Compare_0123456789876543210Sym1 arg) =>- Compare_0123456789876543210Sym0KindInference- type instance Apply Compare_0123456789876543210Sym0 l = Compare_0123456789876543210Sym1 l- instance POrd Type where- type Compare a a = Apply (Apply Compare_0123456789876543210Sym0 a) a- type family ShowsPrec_0123456789876543210 (a :: GHC.Types.Nat) (a :: Type) (a :: Symbol) :: Symbol where- ShowsPrec_0123456789876543210 _ Nat a_0123456789876543210 = Apply (Apply ShowStringSym0 "Nat") a_0123456789876543210- ShowsPrec_0123456789876543210 _ Int a_0123456789876543210 = Apply (Apply ShowStringSym0 "Int") a_0123456789876543210- ShowsPrec_0123456789876543210 _ String a_0123456789876543210 = Apply (Apply ShowStringSym0 "String") a_0123456789876543210- ShowsPrec_0123456789876543210 p_0123456789876543210 (Maybe arg_0123456789876543210) a_0123456789876543210 = Apply (Apply (Apply ShowParenSym0 (Apply (Apply (>@#@$) p_0123456789876543210) (FromInteger 10))) (Apply (Apply (.@#@$) (Apply ShowStringSym0 "Maybe ")) (Apply (Apply ShowsPrecSym0 (FromInteger 11)) arg_0123456789876543210))) a_0123456789876543210- ShowsPrec_0123456789876543210 p_0123456789876543210 (Vec arg_0123456789876543210 arg_0123456789876543210) a_0123456789876543210 = Apply (Apply (Apply ShowParenSym0 (Apply (Apply (>@#@$) p_0123456789876543210) (FromInteger 10))) (Apply (Apply (.@#@$) (Apply ShowStringSym0 "Vec ")) (Apply (Apply (.@#@$) (Apply (Apply ShowsPrecSym0 (FromInteger 11)) arg_0123456789876543210)) (Apply (Apply (.@#@$) ShowSpaceSym0) (Apply (Apply ShowsPrecSym0 (FromInteger 11)) arg_0123456789876543210))))) a_0123456789876543210- type ShowsPrec_0123456789876543210Sym3 (t :: GHC.Types.Nat) (t :: Type) (t :: Symbol) =- ShowsPrec_0123456789876543210 t t t- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym2 (l :: GHC.Types.Nat) (l :: Type) (l :: TyFun Symbol Symbol)- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 l l) arg) (ShowsPrec_0123456789876543210Sym3 l l arg) =>- ShowsPrec_0123456789876543210Sym2KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym2 l l) l = ShowsPrec_0123456789876543210 l l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym1 (l :: GHC.Types.Nat) (l :: TyFun Type (TyFun Symbol Symbol- -> Type))- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 l) arg) (ShowsPrec_0123456789876543210Sym2 l arg) =>- ShowsPrec_0123456789876543210Sym1KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym1 l) l = ShowsPrec_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym0 (l :: TyFun GHC.Types.Nat (TyFun Type (TyFun Symbol Symbol- -> Type)- -> Type))- = forall arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>- ShowsPrec_0123456789876543210Sym0KindInference- type instance Apply ShowsPrec_0123456789876543210Sym0 l = ShowsPrec_0123456789876543210Sym1 l- instance PShow Type where- type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a- data instance Sing (z :: Type)- where- SNat :: Sing Nat- SInt :: Sing Int- SString :: Sing String- SMaybe :: forall (n :: Type). (Sing (n :: Type)) -> Sing (Maybe n)- SVec :: forall (n :: Type) (n :: Nat).- (Sing (n :: Type)) -> (Sing (n :: Nat)) -> Sing (Vec n n)- type SRep = (Sing :: Type -> Type)- instance SingKind Type where- type Demote Type = Rep- fromSing SNat = Singletons.Star.Nat- fromSing SInt = Singletons.Star.Int- fromSing SString = Singletons.Star.String- fromSing (SMaybe b) = Singletons.Star.Maybe (fromSing b)- fromSing (SVec b b)- = (Singletons.Star.Vec (fromSing b)) (fromSing b)- toSing Singletons.Star.Nat = SomeSing SNat- toSing Singletons.Star.Int = SomeSing SInt- toSing Singletons.Star.String = SomeSing SString- toSing (Singletons.Star.Maybe (b :: Demote Type))- = case toSing b :: SomeSing Type of {- SomeSing c -> SomeSing (SMaybe c) }- toSing (Singletons.Star.Vec (b :: Demote Type) (b :: Demote Nat))- = case- (GHC.Tuple.(,) (toSing b :: SomeSing Type))- (toSing b :: SomeSing Nat)- of {- GHC.Tuple.(,) (SomeSing c) (SomeSing c) -> SomeSing ((SVec c) c) }- instance (SEq Type, SEq Nat) => SEq Type where- (%==) SNat SNat = STrue- (%==) SNat SInt = SFalse- (%==) SNat SString = SFalse- (%==) SNat (SMaybe _) = SFalse- (%==) SNat (SVec _ _) = SFalse- (%==) SInt SNat = SFalse- (%==) SInt SInt = STrue- (%==) SInt SString = SFalse- (%==) SInt (SMaybe _) = SFalse- (%==) SInt (SVec _ _) = SFalse- (%==) SString SNat = SFalse- (%==) SString SInt = SFalse- (%==) SString SString = STrue- (%==) SString (SMaybe _) = SFalse- (%==) SString (SVec _ _) = SFalse- (%==) (SMaybe _) SNat = SFalse- (%==) (SMaybe _) SInt = SFalse- (%==) (SMaybe _) SString = SFalse- (%==) (SMaybe a) (SMaybe b) = ((%==) a) b- (%==) (SMaybe _) (SVec _ _) = SFalse- (%==) (SVec _ _) SNat = SFalse- (%==) (SVec _ _) SInt = SFalse- (%==) (SVec _ _) SString = SFalse- (%==) (SVec _ _) (SMaybe _) = SFalse- (%==) (SVec a a) (SVec b b) = ((%&&) (((%==) a) b)) (((%==) a) b)- instance (SDecide Type, SDecide Nat) => SDecide Type where- (%~) SNat SNat = Proved Refl- (%~) SNat SInt = Disproved (\ x -> case x of)- (%~) SNat SString = Disproved (\ x -> case x of)- (%~) SNat (SMaybe _) = Disproved (\ x -> case x of)- (%~) SNat (SVec _ _) = Disproved (\ x -> case x of)- (%~) SInt SNat = Disproved (\ x -> case x of)- (%~) SInt SInt = Proved Refl- (%~) SInt SString = Disproved (\ x -> case x of)- (%~) SInt (SMaybe _) = Disproved (\ x -> case x of)- (%~) SInt (SVec _ _) = Disproved (\ x -> case x of)- (%~) SString SNat = Disproved (\ x -> case x of)- (%~) SString SInt = Disproved (\ x -> case x of)- (%~) SString SString = Proved Refl- (%~) SString (SMaybe _) = Disproved (\ x -> case x of)- (%~) SString (SVec _ _) = Disproved (\ x -> case x of)- (%~) (SMaybe _) SNat = Disproved (\ x -> case x of)- (%~) (SMaybe _) SInt = Disproved (\ x -> case x of)- (%~) (SMaybe _) SString = Disproved (\ x -> case x of)- (%~) (SMaybe a) (SMaybe b)- = case ((%~) a) b of- Proved Refl -> Proved Refl- Disproved contra- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- (%~) (SMaybe _) (SVec _ _) = Disproved (\ x -> case x of)- (%~) (SVec _ _) SNat = Disproved (\ x -> case x of)- (%~) (SVec _ _) SInt = Disproved (\ x -> case x of)- (%~) (SVec _ _) SString = Disproved (\ x -> case x of)- (%~) (SVec _ _) (SMaybe _) = Disproved (\ x -> case x of)- (%~) (SVec a a) (SVec b b)- = case (GHC.Tuple.(,) (((%~) a) b)) (((%~) a) b) of- GHC.Tuple.(,) (Proved Refl) (Proved Refl) -> Proved Refl- GHC.Tuple.(,) (Disproved contra) _- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- GHC.Tuple.(,) _ (Disproved contra)- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- instance (SOrd Type, SOrd Nat) => SOrd Type where- sCompare ::- forall (t1 :: Type) (t2 :: Type).- Sing t1- -> Sing t2- -> Sing (Apply (Apply (CompareSym0 :: TyFun Type (TyFun Type Ordering- -> Type)- -> Type) t1) t2)- sCompare SNat SNat- = (applySing- ((applySing- ((applySing ((singFun3 @FoldlSym0) sFoldl))- ((singFun2 @ThenCmpSym0) sThenCmp)))- SEQ))- SNil- sCompare SInt SInt- = (applySing- ((applySing- ((applySing ((singFun3 @FoldlSym0) sFoldl))- ((singFun2 @ThenCmpSym0) sThenCmp)))- SEQ))- SNil- sCompare SString SString- = (applySing- ((applySing- ((applySing ((singFun3 @FoldlSym0) sFoldl))- ((singFun2 @ThenCmpSym0) sThenCmp)))- SEQ))- SNil- sCompare- (SMaybe (sA_0123456789876543210 :: Sing a_0123456789876543210))- (SMaybe (sB_0123456789876543210 :: Sing b_0123456789876543210))- = (applySing- ((applySing- ((applySing ((singFun3 @FoldlSym0) sFoldl))- ((singFun2 @ThenCmpSym0) sThenCmp)))- SEQ))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- SNil)- sCompare- (SVec (sA_0123456789876543210 :: Sing a_0123456789876543210)- (sA_0123456789876543210 :: Sing a_0123456789876543210))- (SVec (sB_0123456789876543210 :: Sing b_0123456789876543210)- (sB_0123456789876543210 :: Sing b_0123456789876543210))- = (applySing- ((applySing- ((applySing ((singFun3 @FoldlSym0) sFoldl))- ((singFun2 @ThenCmpSym0) sThenCmp)))- SEQ))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- SNil))- sCompare SNat SInt = SLT- sCompare SNat SString = SLT- sCompare SNat (SMaybe _) = SLT- sCompare SNat (SVec _ _) = SLT- sCompare SInt SNat = SGT- sCompare SInt SString = SLT- sCompare SInt (SMaybe _) = SLT- sCompare SInt (SVec _ _) = SLT- sCompare SString SNat = SGT- sCompare SString SInt = SGT- sCompare SString (SMaybe _) = SLT- sCompare SString (SVec _ _) = SLT- sCompare (SMaybe _) SNat = SGT- sCompare (SMaybe _) SInt = SGT- sCompare (SMaybe _) SString = SGT- sCompare (SMaybe _) (SVec _ _) = SLT- sCompare (SVec _ _) SNat = SGT- sCompare (SVec _ _) SInt = SGT- sCompare (SVec _ _) SString = SGT- sCompare (SVec _ _) (SMaybe _) = SGT- instance (SShow Type, SShow Nat) => SShow Type where- sShowsPrec ::- forall (t1 :: GHC.Types.Nat) (t2 :: Type) (t3 :: Symbol).- Sing t1- -> Sing t2- -> Sing t3- -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun GHC.Types.Nat (TyFun Type (TyFun Symbol Symbol- -> Type)- -> Type)- -> Type) t1) t2) t3)- sShowsPrec- _- SNat- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "Nat")))- sA_0123456789876543210- sShowsPrec- _- SInt- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "Int")))- sA_0123456789876543210- sShowsPrec- _- SString- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "String")))- sA_0123456789876543210- sShowsPrec- (sP_0123456789876543210 :: Sing p_0123456789876543210)- (SMaybe (sArg_0123456789876543210 :: Sing arg_0123456789876543210))- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing- ((applySing ((singFun3 @ShowParenSym0) sShowParen))- ((applySing- ((applySing ((singFun2 @(>@#@$)) (%>))) sP_0123456789876543210))- (sFromInteger (sing :: Sing 10)))))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "Maybe "))))- ((applySing- ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))- (sFromInteger (sing :: Sing 11))))- sArg_0123456789876543210))))- sA_0123456789876543210- sShowsPrec- (sP_0123456789876543210 :: Sing p_0123456789876543210)- (SVec (sArg_0123456789876543210 :: Sing arg_0123456789876543210)- (sArg_0123456789876543210 :: Sing arg_0123456789876543210))- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing- ((applySing ((singFun3 @ShowParenSym0) sShowParen))- ((applySing- ((applySing ((singFun2 @(>@#@$)) (%>))) sP_0123456789876543210))- (sFromInteger (sing :: Sing 10)))))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "Vec "))))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((applySing- ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))- (sFromInteger (sing :: Sing 11))))- sArg_0123456789876543210)))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((singFun1 @ShowSpaceSym0) sShowSpace)))- ((applySing- ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))- (sFromInteger (sing :: Sing 11))))- sArg_0123456789876543210))))))- sA_0123456789876543210- instance SingI Nat where- sing = SNat- instance SingI Int where- sing = SInt- instance SingI String where- sing = SString- instance SingI n => SingI (Maybe (n :: Type)) where- sing = SMaybe sing- instance (SingI n, SingI n) =>- SingI (Vec (n :: Type) (n :: Nat)) where- sing = (SVec sing) sing
+ tests/compile-and-dump/Singletons/Star.ghc86.template view
@@ -0,0 +1,422 @@+Singletons/Star.hs:0:0:: Splicing declarations+ singletonStar [''Nat, ''Int, ''String, ''Maybe, ''Vec]+ ======>+ data Rep :: Type+ where+ Singletons.Star.Nat :: Rep+ Singletons.Star.Int :: Rep+ Singletons.Star.String :: Rep+ Singletons.Star.Maybe :: Rep -> Rep+ Singletons.Star.Vec :: Rep -> Nat -> Rep+ deriving (Eq, Ord, Read, Show)+ type NatSym0 = Nat+ type IntSym0 = Int+ type StringSym0 = String+ type MaybeSym1 (t0123456789876543210 :: Type) =+ Maybe t0123456789876543210+ instance SuppressUnusedWarnings MaybeSym0 where+ suppressUnusedWarnings = snd (((,) MaybeSym0KindInference) ())+ data MaybeSym0 :: (~>) Type Type+ where+ MaybeSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply MaybeSym0 arg) (MaybeSym1 arg) =>+ MaybeSym0 t0123456789876543210+ type instance Apply MaybeSym0 t0123456789876543210 = Maybe t0123456789876543210+ type VecSym2 (t0123456789876543210 :: Type) (t0123456789876543210 :: Nat) =+ Vec t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (VecSym1 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) VecSym1KindInference) ())+ data VecSym1 (t0123456789876543210 :: Type) :: (~>) Nat Type+ where+ VecSym1KindInference :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (VecSym1 t0123456789876543210) arg) (VecSym2 t0123456789876543210 arg) =>+ VecSym1 t0123456789876543210 t0123456789876543210+ type instance Apply (VecSym1 t0123456789876543210) t0123456789876543210 = Vec t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings VecSym0 where+ suppressUnusedWarnings = snd (((,) VecSym0KindInference) ())+ data VecSym0 :: (~>) Type ((~>) Nat Type)+ where+ VecSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply VecSym0 arg) (VecSym1 arg) =>+ VecSym0 t0123456789876543210+ type instance Apply VecSym0 t0123456789876543210 = VecSym1 t0123456789876543210+ type family Equals_0123456789876543210 (a :: Type) (b :: Type) :: Bool where+ Equals_0123456789876543210 Nat Nat = TrueSym0+ Equals_0123456789876543210 Int Int = TrueSym0+ Equals_0123456789876543210 String String = TrueSym0+ Equals_0123456789876543210 (Maybe a) (Maybe b) = (==) a b+ Equals_0123456789876543210 (Vec a a) (Vec b b) = (&&) ((==) a b) ((==) a b)+ Equals_0123456789876543210 (_ :: Type) (_ :: Type) = FalseSym0+ instance PEq Type where+ type (==) a b = Equals_0123456789876543210 a b+ type family Compare_0123456789876543210 (a :: Type) (a :: Type) :: Ordering where+ Compare_0123456789876543210 Nat Nat = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) '[]+ Compare_0123456789876543210 Int Int = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) '[]+ Compare_0123456789876543210 String String = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) '[]+ Compare_0123456789876543210 (Maybe a_0123456789876543210) (Maybe b_0123456789876543210) = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) '[])+ Compare_0123456789876543210 (Vec a_0123456789876543210 a_0123456789876543210) (Vec b_0123456789876543210 b_0123456789876543210) = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) '[]))+ Compare_0123456789876543210 Nat Int = LTSym0+ Compare_0123456789876543210 Nat String = LTSym0+ Compare_0123456789876543210 Nat (Maybe _) = LTSym0+ Compare_0123456789876543210 Nat (Vec _ _) = LTSym0+ Compare_0123456789876543210 Int Nat = GTSym0+ Compare_0123456789876543210 Int String = LTSym0+ Compare_0123456789876543210 Int (Maybe _) = LTSym0+ Compare_0123456789876543210 Int (Vec _ _) = LTSym0+ Compare_0123456789876543210 String Nat = GTSym0+ Compare_0123456789876543210 String Int = GTSym0+ Compare_0123456789876543210 String (Maybe _) = LTSym0+ Compare_0123456789876543210 String (Vec _ _) = LTSym0+ Compare_0123456789876543210 (Maybe _) Nat = GTSym0+ Compare_0123456789876543210 (Maybe _) Int = GTSym0+ Compare_0123456789876543210 (Maybe _) String = GTSym0+ Compare_0123456789876543210 (Maybe _) (Vec _ _) = LTSym0+ Compare_0123456789876543210 (Vec _ _) Nat = GTSym0+ Compare_0123456789876543210 (Vec _ _) Int = GTSym0+ Compare_0123456789876543210 (Vec _ _) String = GTSym0+ Compare_0123456789876543210 (Vec _ _) (Maybe _) = GTSym0+ type Compare_0123456789876543210Sym2 (a0123456789876543210 :: Type) (a0123456789876543210 :: Type) =+ Compare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Compare_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Compare_0123456789876543210Sym1KindInference) ())+ data Compare_0123456789876543210Sym1 (a0123456789876543210 :: Type) :: (~>) Type Ordering+ where+ Compare_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Compare_0123456789876543210Sym1 a0123456789876543210) arg) (Compare_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Compare_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Compare_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = Compare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Compare_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Compare_0123456789876543210Sym0KindInference) ())+ data Compare_0123456789876543210Sym0 :: (~>) Type ((~>) Type Ordering)+ where+ Compare_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Compare_0123456789876543210Sym0 arg) (Compare_0123456789876543210Sym1 arg) =>+ Compare_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Compare_0123456789876543210Sym0 a0123456789876543210 = Compare_0123456789876543210Sym1 a0123456789876543210+ instance POrd Type where+ type Compare a a = Apply (Apply Compare_0123456789876543210Sym0 a) a+ type family ShowsPrec_0123456789876543210 (a :: GHC.Types.Nat) (a :: Type) (a :: Symbol) :: Symbol where+ ShowsPrec_0123456789876543210 _ Nat a_0123456789876543210 = Apply (Apply ShowStringSym0 "Nat") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ Int a_0123456789876543210 = Apply (Apply ShowStringSym0 "Int") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ String a_0123456789876543210 = Apply (Apply ShowStringSym0 "String") a_0123456789876543210+ ShowsPrec_0123456789876543210 p_0123456789876543210 (Maybe arg_0123456789876543210) a_0123456789876543210 = Apply (Apply (Apply ShowParenSym0 (Apply (Apply (>@#@$) p_0123456789876543210) (FromInteger 10))) (Apply (Apply (.@#@$) (Apply ShowStringSym0 "Maybe ")) (Apply (Apply ShowsPrecSym0 (FromInteger 11)) arg_0123456789876543210))) a_0123456789876543210+ ShowsPrec_0123456789876543210 p_0123456789876543210 (Vec arg_0123456789876543210 arg_0123456789876543210) a_0123456789876543210 = Apply (Apply (Apply ShowParenSym0 (Apply (Apply (>@#@$) p_0123456789876543210) (FromInteger 10))) (Apply (Apply (.@#@$) (Apply ShowStringSym0 "Vec ")) (Apply (Apply (.@#@$) (Apply (Apply ShowsPrecSym0 (FromInteger 11)) arg_0123456789876543210)) (Apply (Apply (.@#@$) ShowSpaceSym0) (Apply (Apply ShowsPrecSym0 (FromInteger 11)) arg_0123456789876543210))))) a_0123456789876543210+ type ShowsPrec_0123456789876543210Sym3 (a0123456789876543210 :: GHC.Types.Nat) (a0123456789876543210 :: Type) (a0123456789876543210 :: Symbol) =+ ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym2KindInference) ())+ data ShowsPrec_0123456789876543210Sym2 (a0123456789876543210 :: GHC.Types.Nat) (a0123456789876543210 :: Type) :: (~>) Symbol Symbol+ where+ ShowsPrec_0123456789876543210Sym2KindInference :: forall a0123456789876543210+ a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym3 a0123456789876543210 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym1KindInference) ())+ data ShowsPrec_0123456789876543210Sym1 (a0123456789876543210 :: GHC.Types.Nat) :: (~>) Type ((~>) Symbol Symbol)+ where+ ShowsPrec_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym0KindInference) ())+ data ShowsPrec_0123456789876543210Sym0 :: (~>) GHC.Types.Nat ((~>) Type ((~>) Symbol Symbol))+ where+ ShowsPrec_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>+ ShowsPrec_0123456789876543210Sym0 a0123456789876543210+ type instance Apply ShowsPrec_0123456789876543210Sym0 a0123456789876543210 = ShowsPrec_0123456789876543210Sym1 a0123456789876543210+ instance PShow Type where+ type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a+ data instance Sing :: Type -> Type+ where+ SNat :: Sing Nat+ SInt :: Sing Int+ SString :: Sing String+ SMaybe :: forall (n :: Type). (Sing (n :: Type)) -> Sing (Maybe n)+ SVec :: forall (n :: Type) (n :: Nat).+ (Sing (n :: Type)) -> (Sing (n :: Nat)) -> Sing (Vec n n)+ type SRep = (Sing :: Type -> Type)+ instance SingKind Type where+ type Demote Type = Rep+ fromSing SNat = Singletons.Star.Nat+ fromSing SInt = Singletons.Star.Int+ fromSing SString = Singletons.Star.String+ fromSing (SMaybe b) = Singletons.Star.Maybe (fromSing b)+ fromSing (SVec b b)+ = (Singletons.Star.Vec (fromSing b)) (fromSing b)+ toSing Singletons.Star.Nat = SomeSing SNat+ toSing Singletons.Star.Int = SomeSing SInt+ toSing Singletons.Star.String = SomeSing SString+ toSing (Singletons.Star.Maybe (b :: Demote Type))+ = case toSing b :: SomeSing Type of {+ SomeSing c -> SomeSing (SMaybe c) }+ toSing (Singletons.Star.Vec (b :: Demote Type) (b :: Demote Nat))+ = case+ ((,) (toSing b :: SomeSing Type)) (toSing b :: SomeSing Nat)+ of {+ (,) (SomeSing c) (SomeSing c) -> SomeSing ((SVec c) c) }+ instance (SEq Type, SEq Nat) => SEq Type where+ (%==) SNat SNat = STrue+ (%==) SNat SInt = SFalse+ (%==) SNat SString = SFalse+ (%==) SNat (SMaybe _) = SFalse+ (%==) SNat (SVec _ _) = SFalse+ (%==) SInt SNat = SFalse+ (%==) SInt SInt = STrue+ (%==) SInt SString = SFalse+ (%==) SInt (SMaybe _) = SFalse+ (%==) SInt (SVec _ _) = SFalse+ (%==) SString SNat = SFalse+ (%==) SString SInt = SFalse+ (%==) SString SString = STrue+ (%==) SString (SMaybe _) = SFalse+ (%==) SString (SVec _ _) = SFalse+ (%==) (SMaybe _) SNat = SFalse+ (%==) (SMaybe _) SInt = SFalse+ (%==) (SMaybe _) SString = SFalse+ (%==) (SMaybe a) (SMaybe b) = ((%==) a) b+ (%==) (SMaybe _) (SVec _ _) = SFalse+ (%==) (SVec _ _) SNat = SFalse+ (%==) (SVec _ _) SInt = SFalse+ (%==) (SVec _ _) SString = SFalse+ (%==) (SVec _ _) (SMaybe _) = SFalse+ (%==) (SVec a a) (SVec b b) = ((%&&) (((%==) a) b)) (((%==) a) b)+ instance (SDecide Type, SDecide Nat) => SDecide Type where+ (%~) SNat SNat = Proved Refl+ (%~) SNat SInt = Disproved (\ x -> case x of)+ (%~) SNat SString = Disproved (\ x -> case x of)+ (%~) SNat (SMaybe _) = Disproved (\ x -> case x of)+ (%~) SNat (SVec _ _) = Disproved (\ x -> case x of)+ (%~) SInt SNat = Disproved (\ x -> case x of)+ (%~) SInt SInt = Proved Refl+ (%~) SInt SString = Disproved (\ x -> case x of)+ (%~) SInt (SMaybe _) = Disproved (\ x -> case x of)+ (%~) SInt (SVec _ _) = Disproved (\ x -> case x of)+ (%~) SString SNat = Disproved (\ x -> case x of)+ (%~) SString SInt = Disproved (\ x -> case x of)+ (%~) SString SString = Proved Refl+ (%~) SString (SMaybe _) = Disproved (\ x -> case x of)+ (%~) SString (SVec _ _) = Disproved (\ x -> case x of)+ (%~) (SMaybe _) SNat = Disproved (\ x -> case x of)+ (%~) (SMaybe _) SInt = Disproved (\ x -> case x of)+ (%~) (SMaybe _) SString = Disproved (\ x -> case x of)+ (%~) (SMaybe a) (SMaybe b)+ = case ((%~) a) b of+ Proved Refl -> Proved Refl+ Disproved contra+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ (%~) (SMaybe _) (SVec _ _) = Disproved (\ x -> case x of)+ (%~) (SVec _ _) SNat = Disproved (\ x -> case x of)+ (%~) (SVec _ _) SInt = Disproved (\ x -> case x of)+ (%~) (SVec _ _) SString = Disproved (\ x -> case x of)+ (%~) (SVec _ _) (SMaybe _) = Disproved (\ x -> case x of)+ (%~) (SVec a a) (SVec b b)+ = case ((,) (((%~) a) b)) (((%~) a) b) of+ (,) (Proved Refl) (Proved Refl) -> Proved Refl+ (,) (Disproved contra) _+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ (,) _ (Disproved contra)+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ instance (SOrd Type, SOrd Nat) => SOrd Type where+ sCompare ::+ forall (t1 :: Type) (t2 :: Type).+ Sing t1+ -> Sing t2+ -> Sing (Apply (Apply (CompareSym0 :: TyFun Type ((~>) Type Ordering)+ -> Type) t1) t2)+ sCompare SNat SNat+ = (applySing+ ((applySing+ ((applySing ((singFun3 @FoldlSym0) sFoldl))+ ((singFun2 @ThenCmpSym0) sThenCmp)))+ SEQ))+ SNil+ sCompare SInt SInt+ = (applySing+ ((applySing+ ((applySing ((singFun3 @FoldlSym0) sFoldl))+ ((singFun2 @ThenCmpSym0) sThenCmp)))+ SEQ))+ SNil+ sCompare SString SString+ = (applySing+ ((applySing+ ((applySing ((singFun3 @FoldlSym0) sFoldl))+ ((singFun2 @ThenCmpSym0) sThenCmp)))+ SEQ))+ SNil+ sCompare+ (SMaybe (sA_0123456789876543210 :: Sing a_0123456789876543210))+ (SMaybe (sB_0123456789876543210 :: Sing b_0123456789876543210))+ = (applySing+ ((applySing+ ((applySing ((singFun3 @FoldlSym0) sFoldl))+ ((singFun2 @ThenCmpSym0) sThenCmp)))+ SEQ))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ SNil)+ sCompare+ (SVec (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210))+ (SVec (sB_0123456789876543210 :: Sing b_0123456789876543210)+ (sB_0123456789876543210 :: Sing b_0123456789876543210))+ = (applySing+ ((applySing+ ((applySing ((singFun3 @FoldlSym0) sFoldl))+ ((singFun2 @ThenCmpSym0) sThenCmp)))+ SEQ))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ SNil))+ sCompare SNat SInt = SLT+ sCompare SNat SString = SLT+ sCompare SNat (SMaybe _) = SLT+ sCompare SNat (SVec _ _) = SLT+ sCompare SInt SNat = SGT+ sCompare SInt SString = SLT+ sCompare SInt (SMaybe _) = SLT+ sCompare SInt (SVec _ _) = SLT+ sCompare SString SNat = SGT+ sCompare SString SInt = SGT+ sCompare SString (SMaybe _) = SLT+ sCompare SString (SVec _ _) = SLT+ sCompare (SMaybe _) SNat = SGT+ sCompare (SMaybe _) SInt = SGT+ sCompare (SMaybe _) SString = SGT+ sCompare (SMaybe _) (SVec _ _) = SLT+ sCompare (SVec _ _) SNat = SGT+ sCompare (SVec _ _) SInt = SGT+ sCompare (SVec _ _) SString = SGT+ sCompare (SVec _ _) (SMaybe _) = SGT+ instance (SShow Type, SShow Nat) => SShow Type where+ sShowsPrec ::+ forall (t1 :: GHC.Types.Nat) (t2 :: Type) (t3 :: Symbol).+ Sing t1+ -> Sing t2+ -> Sing t3+ -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun GHC.Types.Nat ((~>) Type ((~>) Symbol Symbol))+ -> Type) t1) t2) t3)+ sShowsPrec+ _+ SNat+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "Nat")))+ sA_0123456789876543210+ sShowsPrec+ _+ SInt+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "Int")))+ sA_0123456789876543210+ sShowsPrec+ _+ SString+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "String")))+ sA_0123456789876543210+ sShowsPrec+ (sP_0123456789876543210 :: Sing p_0123456789876543210)+ (SMaybe (sArg_0123456789876543210 :: Sing arg_0123456789876543210))+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing+ ((applySing ((singFun3 @ShowParenSym0) sShowParen))+ ((applySing+ ((applySing ((singFun2 @(>@#@$)) (%>))) sP_0123456789876543210))+ (sFromInteger (sing :: Sing 10)))))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "Maybe "))))+ ((applySing+ ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))+ (sFromInteger (sing :: Sing 11))))+ sArg_0123456789876543210))))+ sA_0123456789876543210+ sShowsPrec+ (sP_0123456789876543210 :: Sing p_0123456789876543210)+ (SVec (sArg_0123456789876543210 :: Sing arg_0123456789876543210)+ (sArg_0123456789876543210 :: Sing arg_0123456789876543210))+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing+ ((applySing ((singFun3 @ShowParenSym0) sShowParen))+ ((applySing+ ((applySing ((singFun2 @(>@#@$)) (%>))) sP_0123456789876543210))+ (sFromInteger (sing :: Sing 10)))))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "Vec "))))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((applySing+ ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))+ (sFromInteger (sing :: Sing 11))))+ sArg_0123456789876543210)))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((singFun1 @ShowSpaceSym0) sShowSpace)))+ ((applySing+ ((applySing ((singFun3 @ShowsPrecSym0) sShowsPrec))+ (sFromInteger (sing :: Sing 11))))+ sArg_0123456789876543210))))))+ sA_0123456789876543210+ instance SingI Nat where+ sing = SNat+ instance SingI Int where+ sing = SInt+ instance SingI String where+ sing = SString+ instance SingI n => SingI (Maybe (n :: Type)) where+ sing = SMaybe sing+ instance SingI (MaybeSym0 :: (~>) Type Type) where+ sing = (singFun1 @MaybeSym0) SMaybe+ instance SingI (TyCon1 Maybe :: (~>) Type Type) where+ sing = (singFun1 @(TyCon1 Maybe)) SMaybe+ instance (SingI n, SingI n) =>+ SingI (Vec (n :: Type) (n :: Nat)) where+ sing = (SVec sing) sing+ instance SingI (VecSym0 :: (~>) Type ((~>) Nat Type)) where+ sing = (singFun2 @VecSym0) SVec+ instance SingI (TyCon2 Vec :: (~>) Type ((~>) Nat Type)) where+ sing = (singFun2 @(TyCon2 Vec)) SVec+ instance SingI d =>+ SingI (VecSym1 (d :: Type) :: (~>) Nat Type) where+ sing = (singFun1 @(VecSym1 (d :: Type))) (SVec (sing @d))+ instance SingI d =>+ SingI (TyCon1 (Vec (d :: Type)) :: (~>) Nat Type) where+ sing = (singFun1 @(TyCon1 (Vec (d :: Type)))) (SVec (sing @d))
tests/compile-and-dump/Singletons/Star.hs view
@@ -1,12 +1,10 @@-{-# OPTIONS_GHC -Wno-unused-imports #-}- module Singletons.Star where import Data.Singletons.Prelude import Data.Singletons.Decide import Data.Singletons.CustomStar import Singletons.Nat-import Data.Kind+import Data.Kind (Type) data Vec :: Type -> Nat -> Type where VNil :: Vec a Zero
− tests/compile-and-dump/Singletons/T124.ghc84.template
@@ -1,29 +0,0 @@-Singletons/T124.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| foo :: Bool -> ()- foo True = ()- foo False = () |]- ======>- foo :: Bool -> ()- foo True = GHC.Tuple.()- foo False = GHC.Tuple.()- type FooSym1 (t :: Bool) = Foo t- instance SuppressUnusedWarnings FooSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) FooSym0KindInference) GHC.Tuple.())- data FooSym0 (l :: TyFun Bool ())- = forall arg. SameKind (Apply FooSym0 arg) (FooSym1 arg) =>- FooSym0KindInference- type instance Apply FooSym0 l = Foo l- type family Foo (a :: Bool) :: () where- Foo True = Tuple0Sym0- Foo False = Tuple0Sym0- sFoo :: forall (t :: Bool). Sing t -> Sing (Apply FooSym0 t :: ())- sFoo STrue = STuple0- sFoo SFalse = STuple0-Singletons/T124.hs:0:0:: Splicing expression- sCases ''Bool [| b |] [| STuple0 |]- ======>- case b of- SFalse -> STuple0- STrue -> STuple0
+ tests/compile-and-dump/Singletons/T124.ghc86.template view
@@ -0,0 +1,33 @@+Singletons/T124.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| foo :: Bool -> ()+ foo True = ()+ foo False = () |]+ ======>+ foo :: Bool -> ()+ foo True = ()+ foo False = ()+ type FooSym1 (a0123456789876543210 :: Bool) =+ Foo a0123456789876543210+ instance SuppressUnusedWarnings FooSym0 where+ suppressUnusedWarnings = snd (((,) FooSym0KindInference) ())+ data FooSym0 :: (~>) Bool ()+ where+ FooSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply FooSym0 arg) (FooSym1 arg) =>+ FooSym0 a0123456789876543210+ type instance Apply FooSym0 a0123456789876543210 = Foo a0123456789876543210+ type family Foo (a :: Bool) :: () where+ Foo 'True = Tuple0Sym0+ Foo 'False = Tuple0Sym0+ sFoo :: forall (t :: Bool). Sing t -> Sing (Apply FooSym0 t :: ())+ sFoo STrue = STuple0+ sFoo SFalse = STuple0+ instance SingI (FooSym0 :: (~>) Bool ()) where+ sing = (singFun1 @FooSym0) sFoo+Singletons/T124.hs:0:0:: Splicing expression+ sCases ''Bool [| b |] [| STuple0 |]+ ======>+ case b of+ SFalse -> STuple0+ STrue -> STuple0
− tests/compile-and-dump/Singletons/T136.ghc84.template
@@ -1,171 +0,0 @@-Singletons/T136.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| instance Enum BiNat where- succ [] = [True]- succ (False : as) = True : as- succ (True : as) = False : succ as- pred [] = error "pred 0"- pred (False : as) = True : pred as- pred (True : as) = False : as- toEnum i- | i < 0 = error "negative toEnum"- | i == 0 = []- | otherwise = succ (toEnum (pred i))- fromEnum [] = 0- fromEnum (False : as) = 2 * fromEnum as- fromEnum (True : as) = 1 + 2 * fromEnum as |]- ======>- instance Enum BiNat where- succ GHC.Types.[] = [True]- succ (False GHC.Types.: as) = (True GHC.Types.: as)- succ (True GHC.Types.: as) = (False GHC.Types.: (succ as))- pred GHC.Types.[] = error "pred 0"- pred (False GHC.Types.: as) = (True GHC.Types.: (pred as))- pred (True GHC.Types.: as) = (False GHC.Types.: as)- toEnum i- | (i < 0) = error "negative toEnum"- | (i == 0) = []- | otherwise = succ (toEnum (pred i))- fromEnum GHC.Types.[] = 0- fromEnum (False GHC.Types.: as) = (2 * (fromEnum as))- fromEnum (True GHC.Types.: as) = (1 + (2 * (fromEnum as)))- type family Succ_0123456789876543210 (a :: [Bool]) :: [Bool] where- Succ_0123456789876543210 '[] = Apply (Apply (:@#@$) TrueSym0) '[]- Succ_0123456789876543210 ((:) False as) = Apply (Apply (:@#@$) TrueSym0) as- Succ_0123456789876543210 ((:) True as) = Apply (Apply (:@#@$) FalseSym0) (Apply SuccSym0 as)- type Succ_0123456789876543210Sym1 (t :: [Bool]) =- Succ_0123456789876543210 t- instance SuppressUnusedWarnings Succ_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Succ_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Succ_0123456789876543210Sym0 (l :: TyFun [Bool] [Bool])- = forall arg. SameKind (Apply Succ_0123456789876543210Sym0 arg) (Succ_0123456789876543210Sym1 arg) =>- Succ_0123456789876543210Sym0KindInference- type instance Apply Succ_0123456789876543210Sym0 l = Succ_0123456789876543210 l- type family Pred_0123456789876543210 (a :: [Bool]) :: [Bool] where- Pred_0123456789876543210 '[] = Apply ErrorSym0 "pred 0"- Pred_0123456789876543210 ((:) False as) = Apply (Apply (:@#@$) TrueSym0) (Apply PredSym0 as)- Pred_0123456789876543210 ((:) True as) = Apply (Apply (:@#@$) FalseSym0) as- type Pred_0123456789876543210Sym1 (t :: [Bool]) =- Pred_0123456789876543210 t- instance SuppressUnusedWarnings Pred_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Pred_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Pred_0123456789876543210Sym0 (l :: TyFun [Bool] [Bool])- = forall arg. SameKind (Apply Pred_0123456789876543210Sym0 arg) (Pred_0123456789876543210Sym1 arg) =>- Pred_0123456789876543210Sym0KindInference- type instance Apply Pred_0123456789876543210Sym0 l = Pred_0123456789876543210 l- type family Case_0123456789876543210 i arg_0123456789876543210 t where- Case_0123456789876543210 i arg_0123456789876543210 True = '[]- Case_0123456789876543210 i arg_0123456789876543210 False = Apply SuccSym0 (Apply ToEnumSym0 (Apply PredSym0 i))- type family Case_0123456789876543210 i arg_0123456789876543210 t where- Case_0123456789876543210 i arg_0123456789876543210 True = Apply ErrorSym0 "negative toEnum"- Case_0123456789876543210 i arg_0123456789876543210 False = Case_0123456789876543210 i arg_0123456789876543210 (Apply (Apply (==@#@$) i) (FromInteger 0))- type family Case_0123456789876543210 arg_0123456789876543210 t where- Case_0123456789876543210 arg_0123456789876543210 i = Case_0123456789876543210 i arg_0123456789876543210 (Apply (Apply (<@#@$) i) (FromInteger 0))- type family ToEnum_0123456789876543210 (a :: GHC.Types.Nat) :: [Bool] where- ToEnum_0123456789876543210 arg_0123456789876543210 = Case_0123456789876543210 arg_0123456789876543210 arg_0123456789876543210- type ToEnum_0123456789876543210Sym1 (t :: GHC.Types.Nat) =- ToEnum_0123456789876543210 t- instance SuppressUnusedWarnings ToEnum_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ToEnum_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data ToEnum_0123456789876543210Sym0 (l :: TyFun GHC.Types.Nat [Bool])- = forall arg. SameKind (Apply ToEnum_0123456789876543210Sym0 arg) (ToEnum_0123456789876543210Sym1 arg) =>- ToEnum_0123456789876543210Sym0KindInference- type instance Apply ToEnum_0123456789876543210Sym0 l = ToEnum_0123456789876543210 l- type family FromEnum_0123456789876543210 (a :: [Bool]) :: GHC.Types.Nat where- FromEnum_0123456789876543210 '[] = FromInteger 0- FromEnum_0123456789876543210 ((:) False as) = Apply (Apply (*@#@$) (FromInteger 2)) (Apply FromEnumSym0 as)- FromEnum_0123456789876543210 ((:) True as) = Apply (Apply (+@#@$) (FromInteger 1)) (Apply (Apply (*@#@$) (FromInteger 2)) (Apply FromEnumSym0 as))- type FromEnum_0123456789876543210Sym1 (t :: [Bool]) =- FromEnum_0123456789876543210 t- instance SuppressUnusedWarnings FromEnum_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) FromEnum_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data FromEnum_0123456789876543210Sym0 (l :: TyFun [Bool] GHC.Types.Nat)- = forall arg. SameKind (Apply FromEnum_0123456789876543210Sym0 arg) (FromEnum_0123456789876543210Sym1 arg) =>- FromEnum_0123456789876543210Sym0KindInference- type instance Apply FromEnum_0123456789876543210Sym0 l = FromEnum_0123456789876543210 l- instance PEnum [Bool] where- type Succ a = Apply Succ_0123456789876543210Sym0 a- type Pred a = Apply Pred_0123456789876543210Sym0 a- type ToEnum a = Apply ToEnum_0123456789876543210Sym0 a- type FromEnum a = Apply FromEnum_0123456789876543210Sym0 a- instance SEnum [Bool] where- sSucc ::- forall (t :: [Bool]).- Sing t- -> Sing (Apply (SuccSym0 :: TyFun [Bool] [Bool]- -> GHC.Types.Type) t)- sPred ::- forall (t :: [Bool]).- Sing t- -> Sing (Apply (PredSym0 :: TyFun [Bool] [Bool]- -> GHC.Types.Type) t)- sToEnum ::- forall (t :: GHC.Types.Nat).- Sing t- -> Sing (Apply (ToEnumSym0 :: TyFun GHC.Types.Nat [Bool]- -> GHC.Types.Type) t)- sFromEnum ::- forall (t :: [Bool]).- Sing t- -> Sing (Apply (FromEnumSym0 :: TyFun [Bool] GHC.Types.Nat- -> GHC.Types.Type) t)- sSucc SNil- = (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) STrue)) SNil- sSucc (SCons SFalse (sAs :: Sing as))- = (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) STrue)) sAs- sSucc (SCons STrue (sAs :: Sing as))- = (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SFalse))- ((applySing ((singFun1 @SuccSym0) sSucc)) sAs)- sPred SNil = sError (sing :: Sing "pred 0")- sPred (SCons SFalse (sAs :: Sing as))- = (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) STrue))- ((applySing ((singFun1 @PredSym0) sPred)) sAs)- sPred (SCons STrue (sAs :: Sing as))- = (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SFalse)) sAs- sToEnum (sArg_0123456789876543210 :: Sing arg_0123456789876543210)- = case sArg_0123456789876543210 of {- sI :: Sing i- -> case- (applySing ((applySing ((singFun2 @(<@#@$)) (%<))) sI))- (sFromInteger (sing :: Sing 0))- of- STrue -> sError (sing :: Sing "negative toEnum")- SFalse- -> case- (applySing ((applySing ((singFun2 @(==@#@$)) (%==))) sI))- (sFromInteger (sing :: Sing 0))- of- STrue -> SNil- SFalse- -> (applySing ((singFun1 @SuccSym0) sSucc))- ((applySing ((singFun1 @ToEnumSym0) sToEnum))- ((applySing ((singFun1 @PredSym0) sPred)) sI)) ::- Sing (Case_0123456789876543210 i arg_0123456789876543210 (Apply (Apply (==@#@$) i) (FromInteger 0))) ::- Sing (Case_0123456789876543210 i arg_0123456789876543210 (Apply (Apply (<@#@$) i) (FromInteger 0))) } ::- Sing (Case_0123456789876543210 arg_0123456789876543210 arg_0123456789876543210)- sFromEnum SNil = sFromInteger (sing :: Sing 0)- sFromEnum (SCons SFalse (sAs :: Sing as))- = (applySing- ((applySing ((singFun2 @(*@#@$)) (%*)))- (sFromInteger (sing :: Sing 2))))- ((applySing ((singFun1 @FromEnumSym0) sFromEnum)) sAs)- sFromEnum (SCons STrue (sAs :: Sing as))- = (applySing- ((applySing ((singFun2 @(+@#@$)) (%+)))- (sFromInteger (sing :: Sing 1))))- ((applySing- ((applySing ((singFun2 @(*@#@$)) (%*)))- (sFromInteger (sing :: Sing 2))))- ((applySing ((singFun1 @FromEnumSym0) sFromEnum)) sAs))
+ tests/compile-and-dump/Singletons/T136.ghc86.template view
@@ -0,0 +1,171 @@+Singletons/T136.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| instance Enum BiNat where+ succ [] = [True]+ succ (False : as) = True : as+ succ (True : as) = False : succ as+ pred [] = error "pred 0"+ pred (False : as) = True : pred as+ pred (True : as) = False : as+ toEnum i+ | i < 0 = error "negative toEnum"+ | i == 0 = []+ | otherwise = succ (toEnum (pred i))+ fromEnum [] = 0+ fromEnum (False : as) = 2 * fromEnum as+ fromEnum (True : as) = 1 + 2 * fromEnum as |]+ ======>+ instance Enum BiNat where+ succ [] = [True]+ succ (False : as) = (True : as)+ succ (True : as) = (False : succ as)+ pred [] = error "pred 0"+ pred (False : as) = (True : pred as)+ pred (True : as) = (False : as)+ toEnum i+ | (i < 0) = error "negative toEnum"+ | (i == 0) = []+ | otherwise = succ (toEnum (pred i))+ fromEnum [] = 0+ fromEnum (False : as) = (2 * fromEnum as)+ fromEnum (True : as) = (1 + (2 * fromEnum as))+ type family Succ_0123456789876543210 (a :: [Bool]) :: [Bool] where+ Succ_0123456789876543210 '[] = Apply (Apply (:@#@$) TrueSym0) '[]+ Succ_0123456789876543210 ( '(:) 'False as) = Apply (Apply (:@#@$) TrueSym0) as+ Succ_0123456789876543210 ( '(:) 'True as) = Apply (Apply (:@#@$) FalseSym0) (Apply SuccSym0 as)+ type Succ_0123456789876543210Sym1 (a0123456789876543210 :: [Bool]) =+ Succ_0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Succ_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Succ_0123456789876543210Sym0KindInference) ())+ data Succ_0123456789876543210Sym0 :: (~>) [Bool] [Bool]+ where+ Succ_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Succ_0123456789876543210Sym0 arg) (Succ_0123456789876543210Sym1 arg) =>+ Succ_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Succ_0123456789876543210Sym0 a0123456789876543210 = Succ_0123456789876543210 a0123456789876543210+ type family Pred_0123456789876543210 (a :: [Bool]) :: [Bool] where+ Pred_0123456789876543210 '[] = Apply ErrorSym0 "pred 0"+ Pred_0123456789876543210 ( '(:) 'False as) = Apply (Apply (:@#@$) TrueSym0) (Apply PredSym0 as)+ Pred_0123456789876543210 ( '(:) 'True as) = Apply (Apply (:@#@$) FalseSym0) as+ type Pred_0123456789876543210Sym1 (a0123456789876543210 :: [Bool]) =+ Pred_0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Pred_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Pred_0123456789876543210Sym0KindInference) ())+ data Pred_0123456789876543210Sym0 :: (~>) [Bool] [Bool]+ where+ Pred_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Pred_0123456789876543210Sym0 arg) (Pred_0123456789876543210Sym1 arg) =>+ Pred_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Pred_0123456789876543210Sym0 a0123456789876543210 = Pred_0123456789876543210 a0123456789876543210+ type family Case_0123456789876543210 i arg_0123456789876543210 t where+ Case_0123456789876543210 i arg_0123456789876543210 'True = '[]+ Case_0123456789876543210 i arg_0123456789876543210 'False = Apply SuccSym0 (Apply ToEnumSym0 (Apply PredSym0 i))+ type family Case_0123456789876543210 i arg_0123456789876543210 t where+ Case_0123456789876543210 i arg_0123456789876543210 'True = Apply ErrorSym0 "negative toEnum"+ Case_0123456789876543210 i arg_0123456789876543210 'False = Case_0123456789876543210 i arg_0123456789876543210 (Apply (Apply (==@#@$) i) (FromInteger 0))+ type family Case_0123456789876543210 arg_0123456789876543210 t where+ Case_0123456789876543210 arg_0123456789876543210 i = Case_0123456789876543210 i arg_0123456789876543210 (Apply (Apply (<@#@$) i) (FromInteger 0))+ type family ToEnum_0123456789876543210 (a :: GHC.Types.Nat) :: [Bool] where+ ToEnum_0123456789876543210 arg_0123456789876543210 = Case_0123456789876543210 arg_0123456789876543210 arg_0123456789876543210+ type ToEnum_0123456789876543210Sym1 (a0123456789876543210 :: GHC.Types.Nat) =+ ToEnum_0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ToEnum_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) ToEnum_0123456789876543210Sym0KindInference) ())+ data ToEnum_0123456789876543210Sym0 :: (~>) GHC.Types.Nat [Bool]+ where+ ToEnum_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply ToEnum_0123456789876543210Sym0 arg) (ToEnum_0123456789876543210Sym1 arg) =>+ ToEnum_0123456789876543210Sym0 a0123456789876543210+ type instance Apply ToEnum_0123456789876543210Sym0 a0123456789876543210 = ToEnum_0123456789876543210 a0123456789876543210+ type family FromEnum_0123456789876543210 (a :: [Bool]) :: GHC.Types.Nat where+ FromEnum_0123456789876543210 '[] = FromInteger 0+ FromEnum_0123456789876543210 ( '(:) 'False as) = Apply (Apply (*@#@$) (FromInteger 2)) (Apply FromEnumSym0 as)+ FromEnum_0123456789876543210 ( '(:) 'True as) = Apply (Apply (+@#@$) (FromInteger 1)) (Apply (Apply (*@#@$) (FromInteger 2)) (Apply FromEnumSym0 as))+ type FromEnum_0123456789876543210Sym1 (a0123456789876543210 :: [Bool]) =+ FromEnum_0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings FromEnum_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) FromEnum_0123456789876543210Sym0KindInference) ())+ data FromEnum_0123456789876543210Sym0 :: (~>) [Bool] GHC.Types.Nat+ where+ FromEnum_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply FromEnum_0123456789876543210Sym0 arg) (FromEnum_0123456789876543210Sym1 arg) =>+ FromEnum_0123456789876543210Sym0 a0123456789876543210+ type instance Apply FromEnum_0123456789876543210Sym0 a0123456789876543210 = FromEnum_0123456789876543210 a0123456789876543210+ instance PEnum [Bool] where+ type Succ a = Apply Succ_0123456789876543210Sym0 a+ type Pred a = Apply Pred_0123456789876543210Sym0 a+ type ToEnum a = Apply ToEnum_0123456789876543210Sym0 a+ type FromEnum a = Apply FromEnum_0123456789876543210Sym0 a+ instance SEnum [Bool] where+ sSucc ::+ forall (t :: [Bool]).+ Sing t+ -> Sing (Apply (SuccSym0 :: TyFun [Bool] [Bool]+ -> GHC.Types.Type) t)+ sPred ::+ forall (t :: [Bool]).+ Sing t+ -> Sing (Apply (PredSym0 :: TyFun [Bool] [Bool]+ -> GHC.Types.Type) t)+ sToEnum ::+ forall (t :: GHC.Types.Nat).+ Sing t+ -> Sing (Apply (ToEnumSym0 :: TyFun GHC.Types.Nat [Bool]+ -> GHC.Types.Type) t)+ sFromEnum ::+ forall (t :: [Bool]).+ Sing t+ -> Sing (Apply (FromEnumSym0 :: TyFun [Bool] GHC.Types.Nat+ -> GHC.Types.Type) t)+ sSucc SNil+ = (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) STrue)) SNil+ sSucc (SCons SFalse (sAs :: Sing as))+ = (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) STrue)) sAs+ sSucc (SCons STrue (sAs :: Sing as))+ = (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SFalse))+ ((applySing ((singFun1 @SuccSym0) sSucc)) sAs)+ sPred SNil = sError (sing :: Sing "pred 0")+ sPred (SCons SFalse (sAs :: Sing as))+ = (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) STrue))+ ((applySing ((singFun1 @PredSym0) sPred)) sAs)+ sPred (SCons STrue (sAs :: Sing as))+ = (applySing ((applySing ((singFun2 @(:@#@$)) SCons)) SFalse)) sAs+ sToEnum (sArg_0123456789876543210 :: Sing arg_0123456789876543210)+ = (case sArg_0123456789876543210 of {+ (sI :: Sing i)+ -> (case+ (applySing ((applySing ((singFun2 @(<@#@$)) (%<))) sI))+ (sFromInteger (sing :: Sing 0))+ of+ STrue -> sError (sing :: Sing "negative toEnum")+ SFalse+ -> (case+ (applySing ((applySing ((singFun2 @(==@#@$)) (%==))) sI))+ (sFromInteger (sing :: Sing 0))+ of+ STrue -> SNil+ SFalse+ -> (applySing ((singFun1 @SuccSym0) sSucc))+ ((applySing ((singFun1 @ToEnumSym0) sToEnum))+ ((applySing ((singFun1 @PredSym0) sPred)) sI))) ::+ Sing (Case_0123456789876543210 i arg_0123456789876543210 (Apply (Apply (==@#@$) i) (FromInteger 0)))) ::+ Sing (Case_0123456789876543210 i arg_0123456789876543210 (Apply (Apply (<@#@$) i) (FromInteger 0))) }) ::+ Sing (Case_0123456789876543210 arg_0123456789876543210 arg_0123456789876543210)+ sFromEnum SNil = sFromInteger (sing :: Sing 0)+ sFromEnum (SCons SFalse (sAs :: Sing as))+ = (applySing+ ((applySing ((singFun2 @(*@#@$)) (%*)))+ (sFromInteger (sing :: Sing 2))))+ ((applySing ((singFun1 @FromEnumSym0) sFromEnum)) sAs)+ sFromEnum (SCons STrue (sAs :: Sing as))+ = (applySing+ ((applySing ((singFun2 @(+@#@$)) (%+)))+ (sFromInteger (sing :: Sing 1))))+ ((applySing+ ((applySing ((singFun2 @(*@#@$)) (%*)))+ (sFromInteger (sing :: Sing 2))))+ ((applySing ((singFun1 @FromEnumSym0) sFromEnum)) sAs))
− tests/compile-and-dump/Singletons/T136b.ghc84.template
@@ -1,48 +0,0 @@-Singletons/T136b.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| class C a where- meth :: a -> a |]- ======>- class C a where- meth :: a -> a- type MethSym1 (t :: a0123456789876543210) = Meth t- instance SuppressUnusedWarnings MethSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) MethSym0KindInference) GHC.Tuple.())- data MethSym0 (l :: TyFun a0123456789876543210 a0123456789876543210)- = forall arg. SameKind (Apply MethSym0 arg) (MethSym1 arg) =>- MethSym0KindInference- type instance Apply MethSym0 l = Meth l- class PC (a :: GHC.Types.Type) where- type Meth (arg :: a) :: a- class SC a where- sMeth :: forall (t :: a). Sing t -> Sing (Apply MethSym0 t :: a)-Singletons/T136b.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| instance C Bool where- meth = not |]- ======>- instance C Bool where- meth = not- type family Meth_0123456789876543210 (a :: Bool) :: Bool where- Meth_0123456789876543210 a_0123456789876543210 = Apply NotSym0 a_0123456789876543210- type Meth_0123456789876543210Sym1 (t :: Bool) =- Meth_0123456789876543210 t- instance SuppressUnusedWarnings Meth_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Meth_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Meth_0123456789876543210Sym0 (l :: TyFun Bool Bool)- = forall arg. SameKind (Apply Meth_0123456789876543210Sym0 arg) (Meth_0123456789876543210Sym1 arg) =>- Meth_0123456789876543210Sym0KindInference- type instance Apply Meth_0123456789876543210Sym0 l = Meth_0123456789876543210 l- instance PC Bool where- type Meth a = Apply Meth_0123456789876543210Sym0 a- instance SC Bool where- sMeth ::- forall (t :: Bool).- Sing t- -> Sing (Apply (MethSym0 :: TyFun Bool Bool -> GHC.Types.Type) t)- sMeth (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing ((singFun1 @NotSym0) sNot)) sA_0123456789876543210
+ tests/compile-and-dump/Singletons/T136b.ghc86.template view
@@ -0,0 +1,53 @@+Singletons/T136b.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| class C a where+ meth :: a -> a |]+ ======>+ class C a where+ meth :: a -> a+ type MethSym1 (arg0123456789876543210 :: a0123456789876543210) =+ Meth arg0123456789876543210+ instance SuppressUnusedWarnings MethSym0 where+ suppressUnusedWarnings = snd (((,) MethSym0KindInference) ())+ data MethSym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 a0123456789876543210+ where+ MethSym0KindInference :: forall arg0123456789876543210+ arg. SameKind (Apply MethSym0 arg) (MethSym1 arg) =>+ MethSym0 arg0123456789876543210+ type instance Apply MethSym0 arg0123456789876543210 = Meth arg0123456789876543210+ class PC (a :: GHC.Types.Type) where+ type Meth (arg :: a) :: a+ class SC a where+ sMeth :: forall (t :: a). Sing t -> Sing (Apply MethSym0 t :: a)+ instance SC a => SingI (MethSym0 :: (~>) a a) where+ sing = (singFun1 @MethSym0) sMeth+Singletons/T136b.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| instance C Bool where+ meth = not |]+ ======>+ instance C Bool where+ meth = not+ type family Meth_0123456789876543210 (a :: Bool) :: Bool where+ Meth_0123456789876543210 a_0123456789876543210 = Apply NotSym0 a_0123456789876543210+ type Meth_0123456789876543210Sym1 (a0123456789876543210 :: Bool) =+ Meth_0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Meth_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Meth_0123456789876543210Sym0KindInference) ())+ data Meth_0123456789876543210Sym0 :: (~>) Bool Bool+ where+ Meth_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Meth_0123456789876543210Sym0 arg) (Meth_0123456789876543210Sym1 arg) =>+ Meth_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Meth_0123456789876543210Sym0 a0123456789876543210 = Meth_0123456789876543210 a0123456789876543210+ instance PC Bool where+ type Meth a = Apply Meth_0123456789876543210Sym0 a+ instance SC Bool where+ sMeth ::+ forall (t :: Bool).+ Sing t+ -> Sing (Apply (MethSym0 :: TyFun Bool Bool -> GHC.Types.Type) t)+ sMeth (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing ((singFun1 @NotSym0) sNot)) sA_0123456789876543210
− tests/compile-and-dump/Singletons/T145.ghc84.template
@@ -1,30 +0,0 @@-Singletons/T145.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| class Column (f :: Type -> Type) where- col :: f a -> a -> Bool |]- ======>- class Column (f :: Type -> Type) where- col :: f a -> a -> Bool- type ColSym2 (t :: f0123456789876543210 a0123456789876543210) (t :: a0123456789876543210) =- Col t t- instance SuppressUnusedWarnings ColSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) ColSym1KindInference) GHC.Tuple.())- data ColSym1 (l :: f0123456789876543210 a0123456789876543210) (l :: TyFun a0123456789876543210 Bool)- = forall arg. SameKind (Apply (ColSym1 l) arg) (ColSym2 l arg) =>- ColSym1KindInference- type instance Apply (ColSym1 l) l = Col l l- instance SuppressUnusedWarnings ColSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) ColSym0KindInference) GHC.Tuple.())- data ColSym0 (l :: TyFun (f0123456789876543210 a0123456789876543210) (TyFun a0123456789876543210 Bool- -> Type))- = forall arg. SameKind (Apply ColSym0 arg) (ColSym1 arg) =>- ColSym0KindInference- type instance Apply ColSym0 l = ColSym1 l- class PColumn (f :: Type -> Type) where- type Col (arg :: f a) (arg :: a) :: Bool- class SColumn (f :: Type -> Type) where- sCol ::- forall (t :: f a) (t :: a).- Sing t -> Sing t -> Sing (Apply (Apply ColSym0 t) t :: Bool)
+ tests/compile-and-dump/Singletons/T145.ghc86.template view
@@ -0,0 +1,39 @@+Singletons/T145.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| class Column (f :: Type -> Type) where+ col :: f a -> a -> Bool |]+ ======>+ class Column (f :: Type -> Type) where+ col :: f a -> a -> Bool+ type ColSym2 (arg0123456789876543210 :: f0123456789876543210 a0123456789876543210) (arg0123456789876543210 :: a0123456789876543210) =+ Col arg0123456789876543210 arg0123456789876543210+ instance SuppressUnusedWarnings (ColSym1 arg0123456789876543210) where+ suppressUnusedWarnings = snd (((,) ColSym1KindInference) ())+ data ColSym1 (arg0123456789876543210 :: f0123456789876543210 a0123456789876543210) :: (~>) a0123456789876543210 Bool+ where+ ColSym1KindInference :: forall arg0123456789876543210+ arg0123456789876543210+ arg. SameKind (Apply (ColSym1 arg0123456789876543210) arg) (ColSym2 arg0123456789876543210 arg) =>+ ColSym1 arg0123456789876543210 arg0123456789876543210+ type instance Apply (ColSym1 arg0123456789876543210) arg0123456789876543210 = Col arg0123456789876543210 arg0123456789876543210+ instance SuppressUnusedWarnings ColSym0 where+ suppressUnusedWarnings = snd (((,) ColSym0KindInference) ())+ data ColSym0 :: forall a0123456789876543210 f0123456789876543210.+ (~>) (f0123456789876543210 a0123456789876543210) ((~>) a0123456789876543210 Bool)+ where+ ColSym0KindInference :: forall arg0123456789876543210+ arg. SameKind (Apply ColSym0 arg) (ColSym1 arg) =>+ ColSym0 arg0123456789876543210+ type instance Apply ColSym0 arg0123456789876543210 = ColSym1 arg0123456789876543210+ class PColumn (f :: Type -> Type) where+ type Col (arg :: f a) (arg :: a) :: Bool+ class SColumn (f :: Type -> Type) where+ sCol ::+ forall a (t :: f a) (t :: a).+ Sing t -> Sing t -> Sing (Apply (Apply ColSym0 t) t :: Bool)+ instance SColumn f =>+ SingI (ColSym0 :: (~>) (f a) ((~>) a Bool)) where+ sing = (singFun2 @ColSym0) sCol+ instance (SColumn f, SingI d) =>+ SingI (ColSym1 (d :: f a) :: (~>) a Bool) where+ sing = (singFun1 @(ColSym1 (d :: f a))) (sCol (sing @d))
tests/compile-and-dump/Singletons/T145.hs view
@@ -1,7 +1,7 @@ module Singletons.T145 where import Data.Singletons.TH-import Data.Kind+import Data.Kind (Type) $(singletons [d| class Column (f :: Type -> Type) where
− tests/compile-and-dump/Singletons/T153.ghc84.template
+ tests/compile-and-dump/Singletons/T153.ghc86.template view
tests/compile-and-dump/Singletons/T153.hs view
@@ -1,4 +1,4 @@-{-# LANGUAGE LambdaCase, GADTs, ScopedTypeVariables, TypeInType,+{-# LANGUAGE LambdaCase, GADTs, ScopedTypeVariables, TypeApplications, RankNTypes #-} module Singletons.T153 where
− tests/compile-and-dump/Singletons/T157.ghc84.template
+ tests/compile-and-dump/Singletons/T157.ghc86.template view
− tests/compile-and-dump/Singletons/T159.ghc84.template
@@ -1,184 +0,0 @@-Singletons/T159.hs:0:0:: Splicing declarations- genSingletons [''T0, ''T1]- ======>- type ASym0 = A- type BSym0 = B- type CSym0 = C- type DSym0 = D- type ESym0 = E- type FSym0 = F- data instance Sing (z :: T0)- where- SA :: Sing A- SB :: Sing B- SC :: Sing C- SD :: Sing D- SE :: Sing E- SF :: Sing F- type ST0 = (Sing :: T0 -> GHC.Types.Type)- instance SingKind T0 where- type Demote T0 = T0- fromSing SA = A- fromSing SB = B- fromSing SC = C- fromSing SD = D- fromSing SE = E- fromSing SF = F- toSing A = SomeSing SA- toSing B = SomeSing SB- toSing C = SomeSing SC- toSing D = SomeSing SD- toSing E = SomeSing SE- toSing F = SomeSing SF- instance SingI A where- sing = SA- instance SingI B where- sing = SB- instance SingI C where- sing = SC- instance SingI D where- sing = SD- instance SingI E where- sing = SE- instance SingI F where- sing = SF- type N1Sym0 = N1- type C1Sym2 (t :: T0) (t :: T1) = C1 t t- instance SuppressUnusedWarnings C1Sym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) C1Sym1KindInference) GHC.Tuple.())- data C1Sym1 (l :: T0) (l :: TyFun T1 T1)- = forall arg. SameKind (Apply (C1Sym1 l) arg) (C1Sym2 l arg) =>- C1Sym1KindInference- type instance Apply (C1Sym1 l) l = C1 l l- instance SuppressUnusedWarnings C1Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) C1Sym0KindInference) GHC.Tuple.())- data C1Sym0 (l :: TyFun T0 (TyFun T1 T1 -> GHC.Types.Type))- = forall arg. SameKind (Apply C1Sym0 arg) (C1Sym1 arg) =>- C1Sym0KindInference- type instance Apply C1Sym0 l = C1Sym1 l- type (:&&@#@$$$) (t :: T0) (t :: T1) = (:&&) t t- instance SuppressUnusedWarnings (:&&@#@$$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (::&&@#@$$###)) GHC.Tuple.())- data (:&&@#@$$) (l :: T0) (l :: TyFun T1 T1)- = forall arg. SameKind (Apply ((:&&@#@$$) l) arg) ((:&&@#@$$$) l arg) =>- (::&&@#@$$###)- type instance Apply ((:&&@#@$$) l) l = (:&&) l l- instance SuppressUnusedWarnings (:&&@#@$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (::&&@#@$###)) GHC.Tuple.())- data (:&&@#@$) (l :: TyFun T0 (TyFun T1 T1 -> GHC.Types.Type))- = forall arg. SameKind (Apply (:&&@#@$) arg) ((:&&@#@$$) arg) =>- (::&&@#@$###)- type instance Apply (:&&@#@$) l = (:&&@#@$$) l- data instance Sing (z :: T1)- where- SN1 :: Sing N1- SC1 :: forall (n :: T0) (n :: T1).- (Sing (n :: T0)) -> (Sing (n :: T1)) -> Sing (C1 n n)- (:%&&) :: forall (n :: T0) (n :: T1).- (Sing (n :: T0)) -> (Sing (n :: T1)) -> Sing ((:&&) n n)- type ST1 = (Sing :: T1 -> GHC.Types.Type)- instance SingKind T1 where- type Demote T1 = T1- fromSing SN1 = N1- fromSing (SC1 b b) = (C1 (fromSing b)) (fromSing b)- fromSing ((:%&&) b b) = ((:&&) (fromSing b)) (fromSing b)- toSing N1 = SomeSing SN1- toSing (C1 (b :: Demote T0) (b :: Demote T1))- = case- (GHC.Tuple.(,) (toSing b :: SomeSing T0)) (toSing b :: SomeSing T1)- of {- GHC.Tuple.(,) (SomeSing c) (SomeSing c) -> SomeSing ((SC1 c) c) }- toSing ((:&&) (b :: Demote T0) (b :: Demote T1))- = case- (GHC.Tuple.(,) (toSing b :: SomeSing T0)) (toSing b :: SomeSing T1)- of {- GHC.Tuple.(,) (SomeSing c) (SomeSing c)- -> SomeSing (((:%&&) c) c) }- infixr 5 `SC1`- infixr 5 :%&&- instance SingI N1 where- sing = SN1- instance (SingI n, SingI n) => SingI (C1 (n :: T0) (n :: T1)) where- sing = (SC1 sing) sing- instance (SingI n, SingI n) =>- SingI ((:&&) (n :: T0) (n :: T1)) where- sing = ((:%&&) sing) sing-Singletons/T159.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| infixr 5 :||- infixr 5 `C2`- - data T2 = N2 | C2 T0 T2 | T0 :|| T2 |]- ======>- data T2 = N2 | C2 T0 T2 | T0 :|| T2- infixr 5 `C2`- infixr 5 :||- type N2Sym0 = N2- type C2Sym2 (t :: T0) (t :: T2) = C2 t t- instance SuppressUnusedWarnings C2Sym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) C2Sym1KindInference) GHC.Tuple.())- data C2Sym1 (l :: T0) (l :: TyFun T2 T2)- = forall arg. SameKind (Apply (C2Sym1 l) arg) (C2Sym2 l arg) =>- C2Sym1KindInference- type instance Apply (C2Sym1 l) l = C2 l l- instance SuppressUnusedWarnings C2Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) C2Sym0KindInference) GHC.Tuple.())- data C2Sym0 (l :: TyFun T0 (TyFun T2 T2 -> GHC.Types.Type))- = forall arg. SameKind (Apply C2Sym0 arg) (C2Sym1 arg) =>- C2Sym0KindInference- type instance Apply C2Sym0 l = C2Sym1 l- type (:||@#@$$$) (t :: T0) (t :: T2) = (:||) t t- instance SuppressUnusedWarnings (:||@#@$$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (::||@#@$$###)) GHC.Tuple.())- data (:||@#@$$) (l :: T0) (l :: TyFun T2 T2)- = forall arg. SameKind (Apply ((:||@#@$$) l) arg) ((:||@#@$$$) l arg) =>- (::||@#@$$###)- type instance Apply ((:||@#@$$) l) l = (:||) l l- instance SuppressUnusedWarnings (:||@#@$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (::||@#@$###)) GHC.Tuple.())- data (:||@#@$) (l :: TyFun T0 (TyFun T2 T2 -> GHC.Types.Type))- = forall arg. SameKind (Apply (:||@#@$) arg) ((:||@#@$$) arg) =>- (::||@#@$###)- type instance Apply (:||@#@$) l = (:||@#@$$) l- infixr 5 :%||- infixr 5 `SC2`- data instance Sing (z :: T2)- where- SN2 :: Sing N2- SC2 :: forall (n :: T0) (n :: T2).- (Sing (n :: T0)) -> (Sing (n :: T2)) -> Sing (C2 n n)- (:%||) :: forall (n :: T0) (n :: T2).- (Sing (n :: T0)) -> (Sing (n :: T2)) -> Sing ((:||) n n)- type ST2 = (Sing :: T2 -> GHC.Types.Type)- instance SingKind T2 where- type Demote T2 = T2- fromSing SN2 = N2- fromSing (SC2 b b) = (C2 (fromSing b)) (fromSing b)- fromSing ((:%||) b b) = ((:||) (fromSing b)) (fromSing b)- toSing N2 = SomeSing SN2- toSing (C2 (b :: Demote T0) (b :: Demote T2))- = case- (GHC.Tuple.(,) (toSing b :: SomeSing T0)) (toSing b :: SomeSing T2)- of {- GHC.Tuple.(,) (SomeSing c) (SomeSing c) -> SomeSing ((SC2 c) c) }- toSing ((:||) (b :: Demote T0) (b :: Demote T2))- = case- (GHC.Tuple.(,) (toSing b :: SomeSing T0)) (toSing b :: SomeSing T2)- of {- GHC.Tuple.(,) (SomeSing c) (SomeSing c)- -> SomeSing (((:%||) c) c) }- instance SingI N2 where- sing = SN2- instance (SingI n, SingI n) => SingI (C2 (n :: T0) (n :: T2)) where- sing = (SC2 sing) sing- instance (SingI n, SingI n) =>- SingI ((:||) (n :: T0) (n :: T2)) where- sing = ((:%||) sing) sing
+ tests/compile-and-dump/Singletons/T159.ghc86.template view
@@ -0,0 +1,245 @@+Singletons/T159.hs:0:0:: Splicing declarations+ genSingletons [''T0, ''T1]+ ======>+ type ASym0 = 'A+ type BSym0 = 'B+ type CSym0 = 'C+ type DSym0 = 'D+ type ESym0 = 'E+ type FSym0 = 'F+ data instance Sing :: T0 -> GHC.Types.Type+ where+ SA :: Sing 'A+ SB :: Sing 'B+ SC :: Sing 'C+ SD :: Sing 'D+ SE :: Sing 'E+ SF :: Sing 'F+ type ST0 = (Sing :: T0 -> GHC.Types.Type)+ instance SingKind T0 where+ type Demote T0 = T0+ fromSing SA = A+ fromSing SB = B+ fromSing SC = C+ fromSing SD = D+ fromSing SE = E+ fromSing SF = F+ toSing A = SomeSing SA+ toSing B = SomeSing SB+ toSing C = SomeSing SC+ toSing D = SomeSing SD+ toSing E = SomeSing SE+ toSing F = SomeSing SF+ instance SingI 'A where+ sing = SA+ instance SingI 'B where+ sing = SB+ instance SingI 'C where+ sing = SC+ instance SingI 'D where+ sing = SD+ instance SingI 'E where+ sing = SE+ instance SingI 'F where+ sing = SF+ type N1Sym0 = 'N1+ type C1Sym2 (t0123456789876543210 :: T0) (t0123456789876543210 :: T1) =+ 'C1 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (C1Sym1 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) C1Sym1KindInference) ())+ data C1Sym1 (t0123456789876543210 :: T0) :: (~>) T1 T1+ where+ C1Sym1KindInference :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (C1Sym1 t0123456789876543210) arg) (C1Sym2 t0123456789876543210 arg) =>+ C1Sym1 t0123456789876543210 t0123456789876543210+ type instance Apply (C1Sym1 t0123456789876543210) t0123456789876543210 = 'C1 t0123456789876543210 t0123456789876543210+ infixr 5 `C1Sym1`+ instance SuppressUnusedWarnings C1Sym0 where+ suppressUnusedWarnings = snd (((,) C1Sym0KindInference) ())+ data C1Sym0 :: (~>) T0 ((~>) T1 T1)+ where+ C1Sym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply C1Sym0 arg) (C1Sym1 arg) =>+ C1Sym0 t0123456789876543210+ type instance Apply C1Sym0 t0123456789876543210 = C1Sym1 t0123456789876543210+ infixr 5 `C1Sym0`+ type (:&&@#@$$$) (t0123456789876543210 :: T0) (t0123456789876543210 :: T1) =+ '(:&&) t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings ((:&&@#@$$) t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) (::&&@#@$$###)) ())+ data (:&&@#@$$) (t0123456789876543210 :: T0) :: (~>) T1 T1+ where+ (::&&@#@$$###) :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply ((:&&@#@$$) t0123456789876543210) arg) ((:&&@#@$$$) t0123456789876543210 arg) =>+ (:&&@#@$$) t0123456789876543210 t0123456789876543210+ type instance Apply ((:&&@#@$$) t0123456789876543210) t0123456789876543210 = '(:&&) t0123456789876543210 t0123456789876543210+ infixr 5 :&&@#@$$+ instance SuppressUnusedWarnings (:&&@#@$) where+ suppressUnusedWarnings = snd (((,) (::&&@#@$###)) ())+ data (:&&@#@$) :: (~>) T0 ((~>) T1 T1)+ where+ (::&&@#@$###) :: forall t0123456789876543210+ arg. SameKind (Apply (:&&@#@$) arg) ((:&&@#@$$) arg) =>+ (:&&@#@$) t0123456789876543210+ type instance Apply (:&&@#@$) t0123456789876543210 = (:&&@#@$$) t0123456789876543210+ infixr 5 :&&@#@$+ data instance Sing :: T1 -> GHC.Types.Type+ where+ SN1 :: Sing 'N1+ SC1 :: forall (n :: T0) (n :: T1).+ (Sing (n :: T0)) -> (Sing (n :: T1)) -> Sing ( 'C1 n n)+ (:%&&) :: forall (n :: T0) (n :: T1).+ (Sing (n :: T0)) -> (Sing (n :: T1)) -> Sing ( '(:&&) n n)+ type ST1 = (Sing :: T1 -> GHC.Types.Type)+ instance SingKind T1 where+ type Demote T1 = T1+ fromSing SN1 = N1+ fromSing (SC1 b b) = (C1 (fromSing b)) (fromSing b)+ fromSing ((:%&&) b b) = ((:&&) (fromSing b)) (fromSing b)+ toSing N1 = SomeSing SN1+ toSing (C1 (b :: Demote T0) (b :: Demote T1))+ = case+ ((,) (toSing b :: SomeSing T0)) (toSing b :: SomeSing T1)+ of {+ (,) (SomeSing c) (SomeSing c) -> SomeSing ((SC1 c) c) }+ toSing ((:&&) (b :: Demote T0) (b :: Demote T1))+ = case+ ((,) (toSing b :: SomeSing T0)) (toSing b :: SomeSing T1)+ of {+ (,) (SomeSing c) (SomeSing c) -> SomeSing (((:%&&) c) c) }+ infixr 5 `SC1`+ infixr 5 :%&&+ instance SingI 'N1 where+ sing = SN1+ instance (SingI n, SingI n) =>+ SingI ( 'C1 (n :: T0) (n :: T1)) where+ sing = (SC1 sing) sing+ instance SingI (C1Sym0 :: (~>) T0 ((~>) T1 T1)) where+ sing = (singFun2 @C1Sym0) SC1+ instance SingI (TyCon2 'C1 :: (~>) T0 ((~>) T1 T1)) where+ sing = (singFun2 @(TyCon2 'C1)) SC1+ instance SingI d => SingI (C1Sym1 (d :: T0) :: (~>) T1 T1) where+ sing = (singFun1 @(C1Sym1 (d :: T0))) (SC1 (sing @d))+ instance SingI d =>+ SingI (TyCon1 ( 'C1 (d :: T0)) :: (~>) T1 T1) where+ sing = (singFun1 @(TyCon1 ( 'C1 (d :: T0)))) (SC1 (sing @d))+ instance (SingI n, SingI n) =>+ SingI ( '(:&&) (n :: T0) (n :: T1)) where+ sing = ((:%&&) sing) sing+ instance SingI ((:&&@#@$) :: (~>) T0 ((~>) T1 T1)) where+ sing = (singFun2 @(:&&@#@$)) (:%&&)+ instance SingI (TyCon2 '(:&&) :: (~>) T0 ((~>) T1 T1)) where+ sing = (singFun2 @(TyCon2 '(:&&))) (:%&&)+ instance SingI d =>+ SingI ((:&&@#@$$) (d :: T0) :: (~>) T1 T1) where+ sing = (singFun1 @((:&&@#@$$) (d :: T0))) ((:%&&) (sing @d))+ instance SingI d =>+ SingI (TyCon1 ( '(:&&) (d :: T0)) :: (~>) T1 T1) where+ sing = (singFun1 @(TyCon1 ( '(:&&) (d :: T0)))) ((:%&&) (sing @d))+Singletons/T159.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| infixr 5 :||+ infixr 5 `C2`+ + data T2 = N2 | C2 T0 T2 | T0 :|| T2 |]+ ======>+ data T2 = N2 | C2 T0 T2 | T0 :|| T2+ infixr 5 `C2`+ infixr 5 :||+ type N2Sym0 = N2+ type C2Sym2 (t0123456789876543210 :: T0) (t0123456789876543210 :: T2) =+ C2 t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (C2Sym1 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) C2Sym1KindInference) ())+ data C2Sym1 (t0123456789876543210 :: T0) :: (~>) T2 T2+ where+ C2Sym1KindInference :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (C2Sym1 t0123456789876543210) arg) (C2Sym2 t0123456789876543210 arg) =>+ C2Sym1 t0123456789876543210 t0123456789876543210+ type instance Apply (C2Sym1 t0123456789876543210) t0123456789876543210 = C2 t0123456789876543210 t0123456789876543210+ infixr 5 `C2Sym1`+ instance SuppressUnusedWarnings C2Sym0 where+ suppressUnusedWarnings = snd (((,) C2Sym0KindInference) ())+ data C2Sym0 :: (~>) T0 ((~>) T2 T2)+ where+ C2Sym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply C2Sym0 arg) (C2Sym1 arg) =>+ C2Sym0 t0123456789876543210+ type instance Apply C2Sym0 t0123456789876543210 = C2Sym1 t0123456789876543210+ infixr 5 `C2Sym0`+ type (:||@#@$$$) (t0123456789876543210 :: T0) (t0123456789876543210 :: T2) =+ (:||) t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings ((:||@#@$$) t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) (::||@#@$$###)) ())+ data (:||@#@$$) (t0123456789876543210 :: T0) :: (~>) T2 T2+ where+ (::||@#@$$###) :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply ((:||@#@$$) t0123456789876543210) arg) ((:||@#@$$$) t0123456789876543210 arg) =>+ (:||@#@$$) t0123456789876543210 t0123456789876543210+ type instance Apply ((:||@#@$$) t0123456789876543210) t0123456789876543210 = (:||) t0123456789876543210 t0123456789876543210+ infixr 5 :||@#@$$+ instance SuppressUnusedWarnings (:||@#@$) where+ suppressUnusedWarnings = snd (((,) (::||@#@$###)) ())+ data (:||@#@$) :: (~>) T0 ((~>) T2 T2)+ where+ (::||@#@$###) :: forall t0123456789876543210+ arg. SameKind (Apply (:||@#@$) arg) ((:||@#@$$) arg) =>+ (:||@#@$) t0123456789876543210+ type instance Apply (:||@#@$) t0123456789876543210 = (:||@#@$$) t0123456789876543210+ infixr 5 :||@#@$+ infixr 5 `SC2`+ infixr 5 :%||+ data instance Sing :: T2 -> GHC.Types.Type+ where+ SN2 :: Sing N2+ SC2 :: forall (n :: T0) (n :: T2).+ (Sing (n :: T0)) -> (Sing (n :: T2)) -> Sing (C2 n n)+ (:%||) :: forall (n :: T0) (n :: T2).+ (Sing (n :: T0)) -> (Sing (n :: T2)) -> Sing ((:||) n n)+ type ST2 = (Sing :: T2 -> GHC.Types.Type)+ instance SingKind T2 where+ type Demote T2 = T2+ fromSing SN2 = N2+ fromSing (SC2 b b) = (C2 (fromSing b)) (fromSing b)+ fromSing ((:%||) b b) = ((:||) (fromSing b)) (fromSing b)+ toSing N2 = SomeSing SN2+ toSing (C2 (b :: Demote T0) (b :: Demote T2))+ = case+ ((,) (toSing b :: SomeSing T0)) (toSing b :: SomeSing T2)+ of {+ (,) (SomeSing c) (SomeSing c) -> SomeSing ((SC2 c) c) }+ toSing ((:||) (b :: Demote T0) (b :: Demote T2))+ = case+ ((,) (toSing b :: SomeSing T0)) (toSing b :: SomeSing T2)+ of {+ (,) (SomeSing c) (SomeSing c) -> SomeSing (((:%||) c) c) }+ instance SingI N2 where+ sing = SN2+ instance (SingI n, SingI n) => SingI (C2 (n :: T0) (n :: T2)) where+ sing = (SC2 sing) sing+ instance SingI (C2Sym0 :: (~>) T0 ((~>) T2 T2)) where+ sing = (singFun2 @C2Sym0) SC2+ instance SingI (TyCon2 C2 :: (~>) T0 ((~>) T2 T2)) where+ sing = (singFun2 @(TyCon2 C2)) SC2+ instance SingI d => SingI (C2Sym1 (d :: T0) :: (~>) T2 T2) where+ sing = (singFun1 @(C2Sym1 (d :: T0))) (SC2 (sing @d))+ instance SingI d =>+ SingI (TyCon1 (C2 (d :: T0)) :: (~>) T2 T2) where+ sing = (singFun1 @(TyCon1 (C2 (d :: T0)))) (SC2 (sing @d))+ instance (SingI n, SingI n) =>+ SingI ((:||) (n :: T0) (n :: T2)) where+ sing = ((:%||) sing) sing+ instance SingI ((:||@#@$) :: (~>) T0 ((~>) T2 T2)) where+ sing = (singFun2 @(:||@#@$)) (:%||)+ instance SingI (TyCon2 (:||) :: (~>) T0 ((~>) T2 T2)) where+ sing = (singFun2 @(TyCon2 (:||))) (:%||)+ instance SingI d =>+ SingI ((:||@#@$$) (d :: T0) :: (~>) T2 T2) where+ sing = (singFun1 @((:||@#@$$) (d :: T0))) ((:%||) (sing @d))+ instance SingI d =>+ SingI (TyCon1 ((:||) (d :: T0)) :: (~>) T2 T2) where+ sing = (singFun1 @(TyCon1 ((:||) (d :: T0)))) ((:%||) (sing @d))
+ tests/compile-and-dump/Singletons/T160.ghc86.template view
@@ -0,0 +1,85 @@+Singletons/T160.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| foo :: (Num a, Eq a) => a -> a+ foo x = if x == 0 then 1 else typeError $ ShowType x |]+ ======>+ foo :: (Num a, Eq a) => a -> a+ foo x = if (x == 0) then 1 else (typeError $ ShowType x)+ type Let0123456789876543210Scrutinee_0123456789876543210Sym1 x0123456789876543210 =+ Let0123456789876543210Scrutinee_0123456789876543210 x0123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210Scrutinee_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd+ (((,)+ Let0123456789876543210Scrutinee_0123456789876543210Sym0KindInference)+ ())+ data Let0123456789876543210Scrutinee_0123456789876543210Sym0 x0123456789876543210+ where+ Let0123456789876543210Scrutinee_0123456789876543210Sym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Let0123456789876543210Scrutinee_0123456789876543210Sym0 arg) (Let0123456789876543210Scrutinee_0123456789876543210Sym1 arg) =>+ Let0123456789876543210Scrutinee_0123456789876543210Sym0 x0123456789876543210+ type instance Apply Let0123456789876543210Scrutinee_0123456789876543210Sym0 x0123456789876543210 = Let0123456789876543210Scrutinee_0123456789876543210 x0123456789876543210+ type family Let0123456789876543210Scrutinee_0123456789876543210 x where+ Let0123456789876543210Scrutinee_0123456789876543210 x = Apply (Apply (==@#@$) x) (FromInteger 0)+ type family Case_0123456789876543210 x t where+ Case_0123456789876543210 x 'True = FromInteger 1+ Case_0123456789876543210 x 'False = Apply (Apply ($@#@$) TypeErrorSym0) (Apply ShowTypeSym0 x)+ type FooSym1 (a0123456789876543210 :: a0123456789876543210) =+ Foo a0123456789876543210+ instance SuppressUnusedWarnings FooSym0 where+ suppressUnusedWarnings = snd (((,) FooSym0KindInference) ())+ data FooSym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 a0123456789876543210+ where+ FooSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply FooSym0 arg) (FooSym1 arg) =>+ FooSym0 a0123456789876543210+ type instance Apply FooSym0 a0123456789876543210 = Foo a0123456789876543210+ type family Foo (a :: a) :: a where+ Foo x = Case_0123456789876543210 x (Let0123456789876543210Scrutinee_0123456789876543210Sym1 x)+ sFoo ::+ forall a (t :: a).+ (SNum a, SEq a) => Sing t -> Sing (Apply FooSym0 t :: a)+ sFoo (sX :: Sing x)+ = let+ sScrutinee_0123456789876543210 ::+ Sing (Let0123456789876543210Scrutinee_0123456789876543210Sym1 x)+ sScrutinee_0123456789876543210+ = (applySing ((applySing ((singFun2 @(==@#@$)) (%==))) sX))+ (sFromInteger (sing :: Sing 0))+ in (case sScrutinee_0123456789876543210 of+ STrue -> sFromInteger (sing :: Sing 1)+ SFalse+ -> (applySing ((applySing ((singFun2 @($@#@$)) (%$))) sTypeError))+ ((applySing ((singFun1 @ShowTypeSym0) SShowType)) sX)) ::+ Sing (Case_0123456789876543210 x (Let0123456789876543210Scrutinee_0123456789876543210Sym1 x) :: a)+ instance (SNum a, SEq a) => SingI (FooSym0 :: (~>) a a) where+ sing = (singFun1 @FooSym0) sFoo++Singletons/T160.hs:0:0: error:+ • t+ • In the expression:+ (applySing ((applySing ((singFun2 @($@#@$)) (%$))) sTypeError))+ ((applySing ((singFun1 @ShowTypeSym0) SShowType)) sX)+ In a case alternative:+ SFalse+ -> (applySing ((applySing ((singFun2 @($@#@$)) (%$))) sTypeError))+ ((applySing ((singFun1 @ShowTypeSym0) SShowType)) sX)+ In the expression:+ (case sScrutinee_0123456789876543210 of+ STrue -> sFromInteger (sing :: Sing 1)+ SFalse+ -> (applySing ((applySing ((singFun2 @($@#@$)) (%$))) sTypeError))+ ((applySing ((singFun1 @ShowTypeSym0) SShowType)) sX)) ::+ Sing (Case_0123456789876543210 x (Let0123456789876543210Scrutinee_0123456789876543210Sym1 x) :: a)+ |+7 | $(singletons+ | ^^^^^^^^^^...++Singletons/T160.hs:0:0: error:+ • 1+ • In the expression: Refl+ In an equation for ‘f’: f = Refl+ |+13 | f = Refl+ | ^^^^
+ tests/compile-and-dump/Singletons/T160.hs view
@@ -0,0 +1,13 @@+module T160 where++import Data.Singletons.Prelude+import Data.Singletons.TH+import Data.Singletons.TypeError++$(singletons+ [d| foo :: (Num a, Eq a) => a -> a+ foo x = if x == 0 then 1 else typeError $ ShowType x+ |])++f :: Foo 1 :~: 42+f = Refl
− tests/compile-and-dump/Singletons/T163.ghc84.template
@@ -1,37 +0,0 @@-Singletons/T163.hs:0:0:: Splicing declarations- singletons [d| data a + b = L a | R b |]- ======>- data (+) a b = L a | R b- type LSym1 (t :: a0123456789876543210) = L t- instance SuppressUnusedWarnings LSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) LSym0KindInference) GHC.Tuple.())- data LSym0 (l :: TyFun a0123456789876543210 ((+) a0123456789876543210 b0123456789876543210))- = forall arg. SameKind (Apply LSym0 arg) (LSym1 arg) =>- LSym0KindInference- type instance Apply LSym0 l = L l- type RSym1 (t :: b0123456789876543210) = R t- instance SuppressUnusedWarnings RSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) RSym0KindInference) GHC.Tuple.())- data RSym0 (l :: TyFun b0123456789876543210 ((+) a0123456789876543210 b0123456789876543210))- = forall arg. SameKind (Apply RSym0 arg) (RSym1 arg) =>- RSym0KindInference- type instance Apply RSym0 l = R l- data instance Sing (z :: (+) a b)- where- SL :: forall (n :: a). (Sing (n :: a)) -> Sing (L n)- SR :: forall (n :: b). (Sing (n :: b)) -> Sing (R n)- type %+ = (Sing :: (+) a b -> GHC.Types.Type)- instance (SingKind a, SingKind b) => SingKind ((+) a b) where- type Demote ((+) a b) = (+) (Demote a) (Demote b)- fromSing (SL b) = L (fromSing b)- fromSing (SR b) = R (fromSing b)- toSing (L (b :: Demote a))- = case toSing b :: SomeSing a of { SomeSing c -> SomeSing (SL c) }- toSing (R (b :: Demote b))- = case toSing b :: SomeSing b of { SomeSing c -> SomeSing (SR c) }- instance SingI n => SingI (L (n :: a)) where- sing = SL sing- instance SingI n => SingI (R (n :: b)) where- sing = SR sing
+ tests/compile-and-dump/Singletons/T163.ghc86.template view
@@ -0,0 +1,51 @@+Singletons/T163.hs:0:0:: Splicing declarations+ singletons [d| data a + b = L a | R b |]+ ======>+ data (+) a b = L a | R b+ type LSym1 (t0123456789876543210 :: a0123456789876543210) =+ L t0123456789876543210+ instance SuppressUnusedWarnings LSym0 where+ suppressUnusedWarnings = snd (((,) LSym0KindInference) ())+ data LSym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) a0123456789876543210 ((+) a0123456789876543210 b0123456789876543210)+ where+ LSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply LSym0 arg) (LSym1 arg) =>+ LSym0 t0123456789876543210+ type instance Apply LSym0 t0123456789876543210 = L t0123456789876543210+ type RSym1 (t0123456789876543210 :: b0123456789876543210) =+ R t0123456789876543210+ instance SuppressUnusedWarnings RSym0 where+ suppressUnusedWarnings = snd (((,) RSym0KindInference) ())+ data RSym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) b0123456789876543210 ((+) a0123456789876543210 b0123456789876543210)+ where+ RSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply RSym0 arg) (RSym1 arg) =>+ RSym0 t0123456789876543210+ type instance Apply RSym0 t0123456789876543210 = R t0123456789876543210+ data instance Sing :: (+) a b -> GHC.Types.Type+ where+ SL :: forall a (n :: a). (Sing (n :: a)) -> Sing (L n)+ SR :: forall b (n :: b). (Sing (n :: b)) -> Sing (R n)+ type (%+) = (Sing :: (+) a b -> GHC.Types.Type)+ instance (SingKind a, SingKind b) => SingKind ((+) a b) where+ type Demote ((+) a b) = (+) (Demote a) (Demote b)+ fromSing (SL b) = L (fromSing b)+ fromSing (SR b) = R (fromSing b)+ toSing (L (b :: Demote a))+ = case toSing b :: SomeSing a of { SomeSing c -> SomeSing (SL c) }+ toSing (R (b :: Demote b))+ = case toSing b :: SomeSing b of { SomeSing c -> SomeSing (SR c) }+ instance SingI n => SingI (L (n :: a)) where+ sing = SL sing+ instance SingI (LSym0 :: (~>) a ((+) a b)) where+ sing = (singFun1 @LSym0) SL+ instance SingI (TyCon1 L :: (~>) a ((+) a b)) where+ sing = (singFun1 @(TyCon1 L)) SL+ instance SingI n => SingI (R (n :: b)) where+ sing = SR sing+ instance SingI (RSym0 :: (~>) b ((+) a b)) where+ sing = (singFun1 @RSym0) SR+ instance SingI (TyCon1 R :: (~>) b ((+) a b)) where+ sing = (singFun1 @(TyCon1 R)) SR
− tests/compile-and-dump/Singletons/T166.ghc84.template
@@ -1,11 +0,0 @@--Singletons/T166.hs:0:0: error:- Function being promoted to FooSym0 has too many arguments.- |-14 | $(singletonsOnly [d|- | ^^^^^^^^^^^^^^^^^^...--Singletons/T166.hs:0:0: error: Q monad failure- |-14 | $(singletonsOnly [d|- | ^^^^^^^^^^^^^^^^^^...
+ tests/compile-and-dump/Singletons/T166.ghc86.template view
@@ -0,0 +1,139 @@+Singletons/T166.hs:(0,0)-(0,0): Splicing declarations+ singletonsOnly+ [d| class Foo a where+ foosPrec :: Nat -> a -> [Bool] -> [Bool]+ foo :: a -> [Bool]+ foo x s = foosPrec 0 x s |]+ ======>+ type FoosPrecSym3 (arg0123456789876543210 :: Nat) (arg0123456789876543210 :: a0123456789876543210) (arg0123456789876543210 :: [Bool]) =+ FoosPrec arg0123456789876543210 arg0123456789876543210 arg0123456789876543210+ instance SuppressUnusedWarnings (FoosPrecSym2 arg0123456789876543210 arg0123456789876543210) where+ suppressUnusedWarnings = snd (((,) FoosPrecSym2KindInference) ())+ data FoosPrecSym2 (arg0123456789876543210 :: Nat) (arg0123456789876543210 :: a0123456789876543210) :: (~>) [Bool] [Bool]+ where+ FoosPrecSym2KindInference :: forall arg0123456789876543210+ arg0123456789876543210+ arg0123456789876543210+ arg. SameKind (Apply (FoosPrecSym2 arg0123456789876543210 arg0123456789876543210) arg) (FoosPrecSym3 arg0123456789876543210 arg0123456789876543210 arg) =>+ FoosPrecSym2 arg0123456789876543210 arg0123456789876543210 arg0123456789876543210+ type instance Apply (FoosPrecSym2 arg0123456789876543210 arg0123456789876543210) arg0123456789876543210 = FoosPrec arg0123456789876543210 arg0123456789876543210 arg0123456789876543210+ instance SuppressUnusedWarnings (FoosPrecSym1 arg0123456789876543210) where+ suppressUnusedWarnings = snd (((,) FoosPrecSym1KindInference) ())+ data FoosPrecSym1 (arg0123456789876543210 :: Nat) :: forall a0123456789876543210.+ (~>) a0123456789876543210 ((~>) [Bool] [Bool])+ where+ FoosPrecSym1KindInference :: forall arg0123456789876543210+ arg0123456789876543210+ arg. SameKind (Apply (FoosPrecSym1 arg0123456789876543210) arg) (FoosPrecSym2 arg0123456789876543210 arg) =>+ FoosPrecSym1 arg0123456789876543210 arg0123456789876543210+ type instance Apply (FoosPrecSym1 arg0123456789876543210) arg0123456789876543210 = FoosPrecSym2 arg0123456789876543210 arg0123456789876543210+ instance SuppressUnusedWarnings FoosPrecSym0 where+ suppressUnusedWarnings = snd (((,) FoosPrecSym0KindInference) ())+ data FoosPrecSym0 :: forall a0123456789876543210.+ (~>) Nat ((~>) a0123456789876543210 ((~>) [Bool] [Bool]))+ where+ FoosPrecSym0KindInference :: forall arg0123456789876543210+ arg. SameKind (Apply FoosPrecSym0 arg) (FoosPrecSym1 arg) =>+ FoosPrecSym0 arg0123456789876543210+ type instance Apply FoosPrecSym0 arg0123456789876543210 = FoosPrecSym1 arg0123456789876543210+ type FooSym1 (arg0123456789876543210 :: a0123456789876543210) =+ Foo arg0123456789876543210+ instance SuppressUnusedWarnings FooSym0 where+ suppressUnusedWarnings = snd (((,) FooSym0KindInference) ())+ data FooSym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 [Bool]+ where+ FooSym0KindInference :: forall arg0123456789876543210+ arg. SameKind (Apply FooSym0 arg) (FooSym1 arg) =>+ FooSym0 arg0123456789876543210+ type instance Apply FooSym0 arg0123456789876543210 = Foo arg0123456789876543210+ type family Lambda_0123456789876543210 x t where+ Lambda_0123456789876543210 x s = Apply (Apply (Apply FoosPrecSym0 (Data.Singletons.Prelude.Num.FromInteger 0)) x) s+ type Lambda_0123456789876543210Sym2 x0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 x0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 x0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall x0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 x0123456789876543210) arg) (Lambda_0123456789876543210Sym2 x0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 x0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 x0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 x0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 x0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 x0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 x0123456789876543210 = Lambda_0123456789876543210Sym1 x0123456789876543210+ type family Foo_0123456789876543210 (a :: a) :: [Bool] where+ Foo_0123456789876543210 x = Apply Lambda_0123456789876543210Sym0 x+ type Foo_0123456789876543210Sym1 (a0123456789876543210 :: a0123456789876543210) =+ Foo_0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Foo_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Foo_0123456789876543210Sym0KindInference) ())+ data Foo_0123456789876543210Sym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 [Bool]+ where+ Foo_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo_0123456789876543210Sym0 arg) (Foo_0123456789876543210Sym1 arg) =>+ Foo_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Foo_0123456789876543210Sym0 a0123456789876543210 = Foo_0123456789876543210 a0123456789876543210+ class PFoo (a :: GHC.Types.Type) where+ type FoosPrec (arg :: Nat) (arg :: a) (arg :: [Bool]) :: [Bool]+ type Foo (arg :: a) :: [Bool]+ type Foo a = Apply Foo_0123456789876543210Sym0 a+ class SFoo a where+ sFoosPrec ::+ forall (t :: Nat) (t :: a) (t :: [Bool]).+ Sing t+ -> Sing t+ -> Sing t+ -> Sing (Apply (Apply (Apply FoosPrecSym0 t) t) t :: [Bool])+ sFoo :: forall (t :: a). Sing t -> Sing (Apply FooSym0 t :: [Bool])+ default sFoo ::+ forall (t :: a).+ (Apply FooSym0 t :: [Bool])+ ~ Apply Foo_0123456789876543210Sym0 t =>+ Sing t -> Sing (Apply FooSym0 t :: [Bool])+ sFoo (sX :: Sing x)+ = (singFun1 @(Apply Lambda_0123456789876543210Sym0 x))+ (\ sS+ -> case sS of {+ (_ :: Sing s)+ -> (applySing+ ((applySing+ ((applySing ((singFun3 @FoosPrecSym0) sFoosPrec))+ (Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 0))))+ sX))+ sS })+ instance SFoo a =>+ SingI (FoosPrecSym0 :: (~>) Nat ((~>) a ((~>) [Bool] [Bool]))) where+ sing = (singFun3 @FoosPrecSym0) sFoosPrec+ instance (SFoo a, SingI d) =>+ SingI (FoosPrecSym1 (d :: Nat) :: (~>) a ((~>) [Bool] [Bool])) where+ sing = (singFun2 @(FoosPrecSym1 (d :: Nat))) (sFoosPrec (sing @d))+ instance (SFoo a, SingI d, SingI d) =>+ SingI (FoosPrecSym2 (d :: Nat) (d :: a) :: (~>) [Bool] [Bool]) where+ sing+ = (singFun1 @(FoosPrecSym2 (d :: Nat) (d :: a)))+ ((sFoosPrec (sing @d)) (sing @d))+ instance SFoo a => SingI (FooSym0 :: (~>) a [Bool]) where+ sing = (singFun1 @FooSym0) sFoo++Singletons/T166.hs:0:0: error:+ • Expecting one more argument to ‘Apply Lambda_0123456789876543210Sym0 x’+ Expected kind ‘[Bool]’,+ but ‘Apply Lambda_0123456789876543210Sym0 x’ has kind ‘TyFun+ [Bool] [Bool]+ -> Type’+ • In the type ‘Apply Lambda_0123456789876543210Sym0 x’+ In the type family declaration for ‘Foo_0123456789876543210’+ |+14 | $(singletonsOnly [d|+ | ^^^^^^^^^^^^^^^^^^...
− tests/compile-and-dump/Singletons/T167.ghc84.template
@@ -1,149 +0,0 @@-Singletons/T167.hs:(0,0)-(0,0): Splicing declarations- singletonsOnly- [d| class Foo a where- foosPrec :: Nat -> a -> DiffList- fooList :: a -> DiffList- fooList = undefined- - instance Foo a => Foo [a] where- foosPrec _ = fooList |]- ======>- type FoosPrecSym3 (t :: Nat) (t :: a0123456789876543210) (t :: [Bool]) =- FoosPrec t t t- instance SuppressUnusedWarnings FoosPrecSym2 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) FoosPrecSym2KindInference) GHC.Tuple.())- data FoosPrecSym2 (l :: Nat) (l :: a0123456789876543210) (l :: TyFun [Bool] [Bool])- = forall arg. SameKind (Apply (FoosPrecSym2 l l) arg) (FoosPrecSym3 l l arg) =>- FoosPrecSym2KindInference- type instance Apply (FoosPrecSym2 l l) l = FoosPrec l l l- instance SuppressUnusedWarnings FoosPrecSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) FoosPrecSym1KindInference) GHC.Tuple.())- data FoosPrecSym1 (l :: Nat) (l :: TyFun a0123456789876543210 (TyFun [Bool] [Bool]- -> GHC.Types.Type))- = forall arg. SameKind (Apply (FoosPrecSym1 l) arg) (FoosPrecSym2 l arg) =>- FoosPrecSym1KindInference- type instance Apply (FoosPrecSym1 l) l = FoosPrecSym2 l l- instance SuppressUnusedWarnings FoosPrecSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) FoosPrecSym0KindInference) GHC.Tuple.())- data FoosPrecSym0 (l :: TyFun Nat (TyFun a0123456789876543210 (TyFun [Bool] [Bool]- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply FoosPrecSym0 arg) (FoosPrecSym1 arg) =>- FoosPrecSym0KindInference- type instance Apply FoosPrecSym0 l = FoosPrecSym1 l- type FooListSym2 (t :: a0123456789876543210) (t :: [Bool]) =- FooList t t- instance SuppressUnusedWarnings FooListSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) FooListSym1KindInference) GHC.Tuple.())- data FooListSym1 (l :: a0123456789876543210) (l :: TyFun [Bool] [Bool])- = forall arg. SameKind (Apply (FooListSym1 l) arg) (FooListSym2 l arg) =>- FooListSym1KindInference- type instance Apply (FooListSym1 l) l = FooList l l- instance SuppressUnusedWarnings FooListSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) FooListSym0KindInference) GHC.Tuple.())- data FooListSym0 (l :: TyFun a0123456789876543210 (TyFun [Bool] [Bool]- -> GHC.Types.Type))- = forall arg. SameKind (Apply FooListSym0 arg) (FooListSym1 arg) =>- FooListSym0KindInference- type instance Apply FooListSym0 l = FooListSym1 l- type family FooList_0123456789876543210 (a :: a) (a :: [Bool]) :: [Bool] where- FooList_0123456789876543210 a_0123456789876543210 a_0123456789876543210 = Apply (Apply UndefinedSym0 a_0123456789876543210) a_0123456789876543210- type FooList_0123456789876543210Sym2 (t :: a0123456789876543210) (t :: [Bool]) =- FooList_0123456789876543210 t t- instance SuppressUnusedWarnings FooList_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) FooList_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data FooList_0123456789876543210Sym1 (l :: a0123456789876543210) (l :: TyFun [Bool] [Bool])- = forall arg. SameKind (Apply (FooList_0123456789876543210Sym1 l) arg) (FooList_0123456789876543210Sym2 l arg) =>- FooList_0123456789876543210Sym1KindInference- type instance Apply (FooList_0123456789876543210Sym1 l) l = FooList_0123456789876543210 l l- instance SuppressUnusedWarnings FooList_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) FooList_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data FooList_0123456789876543210Sym0 (l :: TyFun a0123456789876543210 (TyFun [Bool] [Bool]- -> GHC.Types.Type))- = forall arg. SameKind (Apply FooList_0123456789876543210Sym0 arg) (FooList_0123456789876543210Sym1 arg) =>- FooList_0123456789876543210Sym0KindInference- type instance Apply FooList_0123456789876543210Sym0 l = FooList_0123456789876543210Sym1 l- class PFoo (a :: GHC.Types.Type) where- type FoosPrec (arg :: Nat) (arg :: a) (arg :: [Bool]) :: [Bool]- type FooList (arg :: a) (arg :: [Bool]) :: [Bool]- type FooList a a = Apply (Apply FooList_0123456789876543210Sym0 a) a- type family FoosPrec_0123456789876543210 (a :: Nat) (a :: [a]) (a :: [Bool]) :: [Bool] where- FoosPrec_0123456789876543210 _ a_0123456789876543210 a_0123456789876543210 = Apply (Apply FooListSym0 a_0123456789876543210) a_0123456789876543210- type FoosPrec_0123456789876543210Sym3 (t :: Nat) (t :: [a0123456789876543210]) (t :: [Bool]) =- FoosPrec_0123456789876543210 t t t- instance SuppressUnusedWarnings FoosPrec_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) FoosPrec_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data FoosPrec_0123456789876543210Sym2 (l :: Nat) (l :: [a0123456789876543210]) (l :: TyFun [Bool] [Bool])- = forall arg. SameKind (Apply (FoosPrec_0123456789876543210Sym2 l l) arg) (FoosPrec_0123456789876543210Sym3 l l arg) =>- FoosPrec_0123456789876543210Sym2KindInference- type instance Apply (FoosPrec_0123456789876543210Sym2 l l) l = FoosPrec_0123456789876543210 l l l- instance SuppressUnusedWarnings FoosPrec_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) FoosPrec_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data FoosPrec_0123456789876543210Sym1 (l :: Nat) (l :: TyFun [a0123456789876543210] (TyFun [Bool] [Bool]- -> GHC.Types.Type))- = forall arg. SameKind (Apply (FoosPrec_0123456789876543210Sym1 l) arg) (FoosPrec_0123456789876543210Sym2 l arg) =>- FoosPrec_0123456789876543210Sym1KindInference- type instance Apply (FoosPrec_0123456789876543210Sym1 l) l = FoosPrec_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings FoosPrec_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) FoosPrec_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data FoosPrec_0123456789876543210Sym0 (l :: TyFun Nat (TyFun [a0123456789876543210] (TyFun [Bool] [Bool]- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply FoosPrec_0123456789876543210Sym0 arg) (FoosPrec_0123456789876543210Sym1 arg) =>- FoosPrec_0123456789876543210Sym0KindInference- type instance Apply FoosPrec_0123456789876543210Sym0 l = FoosPrec_0123456789876543210Sym1 l- instance PFoo [a] where- type FoosPrec a a a = Apply (Apply (Apply FoosPrec_0123456789876543210Sym0 a) a) a- class SFoo a where- sFoosPrec ::- forall (t :: Nat) (t :: a) (t :: [Bool]).- Sing t- -> Sing t- -> Sing t- -> Sing (Apply (Apply (Apply FoosPrecSym0 t) t) t :: [Bool])- sFooList ::- forall (t :: a) (t :: [Bool]).- Sing t -> Sing t -> Sing (Apply (Apply FooListSym0 t) t :: [Bool])- default sFooList ::- forall (t :: a) (t :: [Bool]).- (Apply (Apply FooListSym0 t) t :: [Bool]) ~ Apply (Apply FooList_0123456789876543210Sym0 t) t =>- Sing t -> Sing t -> Sing (Apply (Apply FooListSym0 t) t :: [Bool])- sFooList- (sA_0123456789876543210 :: Sing a_0123456789876543210)- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (sUndefined sA_0123456789876543210) sA_0123456789876543210- instance SFoo a => SFoo [a] where- sFoosPrec ::- forall (t :: Nat) (t :: [a]) (t :: [Bool]).- Sing t- -> Sing t- -> Sing t- -> Sing (Apply (Apply (Apply FoosPrecSym0 t) t) t :: [Bool])- sFoosPrec- _- (sA_0123456789876543210 :: Sing a_0123456789876543210)- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @FooListSym0) sFooList))- sA_0123456789876543210))- sA_0123456789876543210
+ tests/compile-and-dump/Singletons/T167.ghc86.template view
@@ -0,0 +1,178 @@+Singletons/T167.hs:(0,0)-(0,0): Splicing declarations+ singletonsOnly+ [d| class Foo a where+ foosPrec :: Nat -> a -> DiffList+ fooList :: a -> DiffList+ fooList = undefined+ + instance Foo a => Foo [a] where+ foosPrec _ = fooList |]+ ======>+ type FoosPrecSym3 (arg0123456789876543210 :: Nat) (arg0123456789876543210 :: a0123456789876543210) (arg0123456789876543210 :: [Bool]) =+ FoosPrec arg0123456789876543210 arg0123456789876543210 arg0123456789876543210+ instance SuppressUnusedWarnings (FoosPrecSym2 arg0123456789876543210 arg0123456789876543210) where+ suppressUnusedWarnings = snd (((,) FoosPrecSym2KindInference) ())+ data FoosPrecSym2 (arg0123456789876543210 :: Nat) (arg0123456789876543210 :: a0123456789876543210) :: (~>) [Bool] [Bool]+ where+ FoosPrecSym2KindInference :: forall arg0123456789876543210+ arg0123456789876543210+ arg0123456789876543210+ arg. SameKind (Apply (FoosPrecSym2 arg0123456789876543210 arg0123456789876543210) arg) (FoosPrecSym3 arg0123456789876543210 arg0123456789876543210 arg) =>+ FoosPrecSym2 arg0123456789876543210 arg0123456789876543210 arg0123456789876543210+ type instance Apply (FoosPrecSym2 arg0123456789876543210 arg0123456789876543210) arg0123456789876543210 = FoosPrec arg0123456789876543210 arg0123456789876543210 arg0123456789876543210+ instance SuppressUnusedWarnings (FoosPrecSym1 arg0123456789876543210) where+ suppressUnusedWarnings = snd (((,) FoosPrecSym1KindInference) ())+ data FoosPrecSym1 (arg0123456789876543210 :: Nat) :: forall a0123456789876543210.+ (~>) a0123456789876543210 ((~>) [Bool] [Bool])+ where+ FoosPrecSym1KindInference :: forall arg0123456789876543210+ arg0123456789876543210+ arg. SameKind (Apply (FoosPrecSym1 arg0123456789876543210) arg) (FoosPrecSym2 arg0123456789876543210 arg) =>+ FoosPrecSym1 arg0123456789876543210 arg0123456789876543210+ type instance Apply (FoosPrecSym1 arg0123456789876543210) arg0123456789876543210 = FoosPrecSym2 arg0123456789876543210 arg0123456789876543210+ instance SuppressUnusedWarnings FoosPrecSym0 where+ suppressUnusedWarnings = snd (((,) FoosPrecSym0KindInference) ())+ data FoosPrecSym0 :: forall a0123456789876543210.+ (~>) Nat ((~>) a0123456789876543210 ((~>) [Bool] [Bool]))+ where+ FoosPrecSym0KindInference :: forall arg0123456789876543210+ arg. SameKind (Apply FoosPrecSym0 arg) (FoosPrecSym1 arg) =>+ FoosPrecSym0 arg0123456789876543210+ type instance Apply FoosPrecSym0 arg0123456789876543210 = FoosPrecSym1 arg0123456789876543210+ type FooListSym2 (arg0123456789876543210 :: a0123456789876543210) (arg0123456789876543210 :: [Bool]) =+ FooList arg0123456789876543210 arg0123456789876543210+ instance SuppressUnusedWarnings (FooListSym1 arg0123456789876543210) where+ suppressUnusedWarnings = snd (((,) FooListSym1KindInference) ())+ data FooListSym1 (arg0123456789876543210 :: a0123456789876543210) :: (~>) [Bool] [Bool]+ where+ FooListSym1KindInference :: forall arg0123456789876543210+ arg0123456789876543210+ arg. SameKind (Apply (FooListSym1 arg0123456789876543210) arg) (FooListSym2 arg0123456789876543210 arg) =>+ FooListSym1 arg0123456789876543210 arg0123456789876543210+ type instance Apply (FooListSym1 arg0123456789876543210) arg0123456789876543210 = FooList arg0123456789876543210 arg0123456789876543210+ instance SuppressUnusedWarnings FooListSym0 where+ suppressUnusedWarnings = snd (((,) FooListSym0KindInference) ())+ data FooListSym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 ((~>) [Bool] [Bool])+ where+ FooListSym0KindInference :: forall arg0123456789876543210+ arg. SameKind (Apply FooListSym0 arg) (FooListSym1 arg) =>+ FooListSym0 arg0123456789876543210+ type instance Apply FooListSym0 arg0123456789876543210 = FooListSym1 arg0123456789876543210+ type family FooList_0123456789876543210 (a :: a) (a :: [Bool]) :: [Bool] where+ FooList_0123456789876543210 a_0123456789876543210 a_0123456789876543210 = Apply (Apply UndefinedSym0 a_0123456789876543210) a_0123456789876543210+ type FooList_0123456789876543210Sym2 (a0123456789876543210 :: a0123456789876543210) (a0123456789876543210 :: [Bool]) =+ FooList_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (FooList_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) FooList_0123456789876543210Sym1KindInference) ())+ data FooList_0123456789876543210Sym1 (a0123456789876543210 :: a0123456789876543210) :: (~>) [Bool] [Bool]+ where+ FooList_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (FooList_0123456789876543210Sym1 a0123456789876543210) arg) (FooList_0123456789876543210Sym2 a0123456789876543210 arg) =>+ FooList_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (FooList_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = FooList_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings FooList_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) FooList_0123456789876543210Sym0KindInference) ())+ data FooList_0123456789876543210Sym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 ((~>) [Bool] [Bool])+ where+ FooList_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply FooList_0123456789876543210Sym0 arg) (FooList_0123456789876543210Sym1 arg) =>+ FooList_0123456789876543210Sym0 a0123456789876543210+ type instance Apply FooList_0123456789876543210Sym0 a0123456789876543210 = FooList_0123456789876543210Sym1 a0123456789876543210+ class PFoo (a :: GHC.Types.Type) where+ type FoosPrec (arg :: Nat) (arg :: a) (arg :: [Bool]) :: [Bool]+ type FooList (arg :: a) (arg :: [Bool]) :: [Bool]+ type FooList a a = Apply (Apply FooList_0123456789876543210Sym0 a) a+ type family FoosPrec_0123456789876543210 (a :: Nat) (a :: [a]) (a :: [Bool]) :: [Bool] where+ FoosPrec_0123456789876543210 _ a_0123456789876543210 a_0123456789876543210 = Apply (Apply FooListSym0 a_0123456789876543210) a_0123456789876543210+ type FoosPrec_0123456789876543210Sym3 (a0123456789876543210 :: Nat) (a0123456789876543210 :: [a0123456789876543210]) (a0123456789876543210 :: [Bool]) =+ FoosPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (FoosPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) FoosPrec_0123456789876543210Sym2KindInference) ())+ data FoosPrec_0123456789876543210Sym2 (a0123456789876543210 :: Nat) (a0123456789876543210 :: [a0123456789876543210]) :: (~>) [Bool] [Bool]+ where+ FoosPrec_0123456789876543210Sym2KindInference :: forall a0123456789876543210+ a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (FoosPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) arg) (FoosPrec_0123456789876543210Sym3 a0123456789876543210 a0123456789876543210 arg) =>+ FoosPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210 a0123456789876543210+ type instance Apply (FoosPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) a0123456789876543210 = FoosPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (FoosPrec_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) FoosPrec_0123456789876543210Sym1KindInference) ())+ data FoosPrec_0123456789876543210Sym1 (a0123456789876543210 :: Nat) :: forall a0123456789876543210.+ (~>) [a0123456789876543210] ((~>) [Bool] [Bool])+ where+ FoosPrec_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (FoosPrec_0123456789876543210Sym1 a0123456789876543210) arg) (FoosPrec_0123456789876543210Sym2 a0123456789876543210 arg) =>+ FoosPrec_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (FoosPrec_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = FoosPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings FoosPrec_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) FoosPrec_0123456789876543210Sym0KindInference) ())+ data FoosPrec_0123456789876543210Sym0 :: forall a0123456789876543210.+ (~>) Nat ((~>) [a0123456789876543210] ((~>) [Bool] [Bool]))+ where+ FoosPrec_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply FoosPrec_0123456789876543210Sym0 arg) (FoosPrec_0123456789876543210Sym1 arg) =>+ FoosPrec_0123456789876543210Sym0 a0123456789876543210+ type instance Apply FoosPrec_0123456789876543210Sym0 a0123456789876543210 = FoosPrec_0123456789876543210Sym1 a0123456789876543210+ instance PFoo [a] where+ type FoosPrec a a a = Apply (Apply (Apply FoosPrec_0123456789876543210Sym0 a) a) a+ class SFoo a where+ sFoosPrec ::+ forall (t :: Nat) (t :: a) (t :: [Bool]).+ Sing t+ -> Sing t+ -> Sing t+ -> Sing (Apply (Apply (Apply FoosPrecSym0 t) t) t :: [Bool])+ sFooList ::+ forall (t :: a) (t :: [Bool]).+ Sing t -> Sing t -> Sing (Apply (Apply FooListSym0 t) t :: [Bool])+ default sFooList ::+ forall (t :: a) (t :: [Bool]).+ (Apply (Apply FooListSym0 t) t :: [Bool])+ ~ Apply (Apply FooList_0123456789876543210Sym0 t) t =>+ Sing t -> Sing t -> Sing (Apply (Apply FooListSym0 t) t :: [Bool])+ sFooList+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (sUndefined sA_0123456789876543210) sA_0123456789876543210+ instance SFoo a => SFoo [a] where+ sFoosPrec ::+ forall (t :: Nat) (t :: [a]) (t :: [Bool]).+ Sing t+ -> Sing t+ -> Sing t+ -> Sing (Apply (Apply (Apply FoosPrecSym0 t) t) t :: [Bool])+ sFoosPrec+ _+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @FooListSym0) sFooList))+ sA_0123456789876543210))+ sA_0123456789876543210+ instance SFoo a =>+ SingI (FoosPrecSym0 :: (~>) Nat ((~>) a ((~>) [Bool] [Bool]))) where+ sing = (singFun3 @FoosPrecSym0) sFoosPrec+ instance (SFoo a, SingI d) =>+ SingI (FoosPrecSym1 (d :: Nat) :: (~>) a ((~>) [Bool] [Bool])) where+ sing = (singFun2 @(FoosPrecSym1 (d :: Nat))) (sFoosPrec (sing @d))+ instance (SFoo a, SingI d, SingI d) =>+ SingI (FoosPrecSym2 (d :: Nat) (d :: a) :: (~>) [Bool] [Bool]) where+ sing+ = (singFun1 @(FoosPrecSym2 (d :: Nat) (d :: a)))+ ((sFoosPrec (sing @d)) (sing @d))+ instance SFoo a =>+ SingI (FooListSym0 :: (~>) a ((~>) [Bool] [Bool])) where+ sing = (singFun2 @FooListSym0) sFooList+ instance (SFoo a, SingI d) =>+ SingI (FooListSym1 (d :: a) :: (~>) [Bool] [Bool]) where+ sing = (singFun1 @(FooListSym1 (d :: a))) (sFooList (sing @d))
tests/compile-and-dump/Singletons/T167.hs view
@@ -7,7 +7,6 @@ {-# LANGUAGE ScopedTypeVariables #-} {-# LANGUAGE TemplateHaskell #-} {-# LANGUAGE TypeFamilies #-}-{-# LANGUAGE TypeInType #-} {-# LANGUAGE UndecidableInstances #-} module Singletons.T167 where
− tests/compile-and-dump/Singletons/T172.ghc84.template
@@ -1,31 +0,0 @@-Singletons/T172.hs:(0,0)-(0,0): Splicing declarations- singletonsOnly- [d| ($>) :: Nat -> Nat -> Nat- ($>) = (+) |]- ======>- type ($>@#@$$$) (t :: Nat) (t :: Nat) = ($>) t t- instance SuppressUnusedWarnings ($>@#@$$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (:$>@#@$$###)) GHC.Tuple.())- data ($>@#@$$) (l :: Nat) (l :: TyFun Nat Nat)- = forall arg. SameKind (Apply (($>@#@$$) l) arg) (($>@#@$$$) l arg) =>- (:$>@#@$$###)- type instance Apply (($>@#@$$) l) l = ($>) l l- instance SuppressUnusedWarnings ($>@#@$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (:$>@#@$###)) GHC.Tuple.())- data ($>@#@$) (l :: TyFun Nat (TyFun Nat Nat -> GHC.Types.Type))- = forall arg. SameKind (Apply ($>@#@$) arg) (($>@#@$$) arg) =>- (:$>@#@$###)- type instance Apply ($>@#@$) l = ($>@#@$$) l- type family ($>) (a :: Nat) (a :: Nat) :: Nat where- ($>) a_0123456789876543210 a_0123456789876543210 = Apply (Apply (+@#@$) a_0123456789876543210) a_0123456789876543210- (%$>) ::- forall (t :: Nat) (t :: Nat).- Sing t -> Sing t -> Sing (Apply (Apply ($>@#@$) t) t :: Nat)- (%$>)- (sA_0123456789876543210 :: Sing a_0123456789876543210)- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @(+@#@$)) (%+))) sA_0123456789876543210))- sA_0123456789876543210
+ tests/compile-and-dump/Singletons/T172.ghc86.template view
@@ -0,0 +1,40 @@+Singletons/T172.hs:(0,0)-(0,0): Splicing declarations+ singletonsOnly+ [d| ($>) :: Nat -> Nat -> Nat+ ($>) = (+) |]+ ======>+ type ($>@#@$$$) (a0123456789876543210 :: Nat) (a0123456789876543210 :: Nat) =+ ($>) a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (($>@#@$$) a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) (:$>@#@$$###)) ())+ data ($>@#@$$) (a0123456789876543210 :: Nat) :: (~>) Nat Nat+ where+ (:$>@#@$$###) :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (($>@#@$$) a0123456789876543210) arg) (($>@#@$$$) a0123456789876543210 arg) =>+ ($>@#@$$) a0123456789876543210 a0123456789876543210+ type instance Apply (($>@#@$$) a0123456789876543210) a0123456789876543210 = ($>) a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ($>@#@$) where+ suppressUnusedWarnings = snd (((,) (:$>@#@$###)) ())+ data ($>@#@$) :: (~>) Nat ((~>) Nat Nat)+ where+ (:$>@#@$###) :: forall a0123456789876543210+ arg. SameKind (Apply ($>@#@$) arg) (($>@#@$$) arg) =>+ ($>@#@$) a0123456789876543210+ type instance Apply ($>@#@$) a0123456789876543210 = ($>@#@$$) a0123456789876543210+ type family ($>) (a :: Nat) (a :: Nat) :: Nat where+ ($>) a_0123456789876543210 a_0123456789876543210 = Apply (Apply (+@#@$) a_0123456789876543210) a_0123456789876543210+ (%$>) ::+ forall (t :: Nat) (t :: Nat).+ Sing t -> Sing t -> Sing (Apply (Apply ($>@#@$) t) t :: Nat)+ (%$>)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @(+@#@$)) (%+))) sA_0123456789876543210))+ sA_0123456789876543210+ instance SingI (($>@#@$) :: (~>) Nat ((~>) Nat Nat)) where+ sing = (singFun2 @($>@#@$)) (%$>)+ instance SingI d =>+ SingI (($>@#@$$) (d :: Nat) :: (~>) Nat Nat) where+ sing = (singFun1 @(($>@#@$$) (d :: Nat))) ((%$>) (sing @d))
− tests/compile-and-dump/Singletons/T175.ghc84.template
@@ -1,45 +0,0 @@-Singletons/T175.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| quux2 :: Bar2 a => a- quux2 = baz- - class Foo a where- baz :: a- class Foo a => Bar1 a where- quux1 :: a- quux1 = baz- class Foo a => Bar2 a |]- ======>- class Foo a where- baz :: a- class Foo a => Bar1 a where- quux1 :: a- quux1 = baz- class Foo a => Bar2 a- quux2 :: Bar2 a => a- quux2 = baz- type Quux2Sym0 = Quux2- type family Quux2 :: a where- Quux2 = BazSym0- type BazSym0 = Baz- class PFoo (a :: GHC.Types.Type) where- type Baz :: a- type Quux1Sym0 = Quux1- type family Quux1_0123456789876543210 :: a where- Quux1_0123456789876543210 = BazSym0- type Quux1_0123456789876543210Sym0 = Quux1_0123456789876543210- class PFoo a => PBar1 (a :: GHC.Types.Type) where- type Quux1 :: a- type Quux1 = Quux1_0123456789876543210Sym0- class PFoo a => PBar2 (a :: GHC.Types.Type)- sQuux2 :: SBar2 a => Sing (Quux2Sym0 :: a)- sQuux2 = sBaz- class SFoo a where- sBaz :: Sing (BazSym0 :: a)- class SFoo a => SBar1 a where- sQuux1 :: Sing (Quux1Sym0 :: a)- default sQuux1 ::- (Quux1Sym0 :: a) ~ Quux1_0123456789876543210Sym0 =>- Sing (Quux1Sym0 :: a)- sQuux1 = sBaz- class SFoo a => SBar2 a
+ tests/compile-and-dump/Singletons/T175.ghc86.template view
@@ -0,0 +1,45 @@+Singletons/T175.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| quux2 :: Bar2 a => a+ quux2 = baz+ + class Foo a where+ baz :: a+ class Foo a => Bar1 a where+ quux1 :: a+ quux1 = baz+ class Foo a => Bar2 a |]+ ======>+ class Foo a where+ baz :: a+ class Foo a => Bar1 a where+ quux1 :: a+ quux1 = baz+ class Foo a => Bar2 a+ quux2 :: Bar2 a => a+ quux2 = baz+ type Quux2Sym0 = Quux2+ type family Quux2 :: a where+ Quux2 = BazSym0+ type BazSym0 = Baz+ class PFoo (a :: GHC.Types.Type) where+ type Baz :: a+ type Quux1Sym0 = Quux1+ type family Quux1_0123456789876543210 :: a where+ Quux1_0123456789876543210 = BazSym0+ type Quux1_0123456789876543210Sym0 = Quux1_0123456789876543210+ class PFoo a => PBar1 (a :: GHC.Types.Type) where+ type Quux1 :: a+ type Quux1 = Quux1_0123456789876543210Sym0+ class PFoo a => PBar2 (a :: GHC.Types.Type)+ sQuux2 :: forall a. SBar2 a => Sing (Quux2Sym0 :: a)+ sQuux2 = sBaz+ class SFoo a where+ sBaz :: Sing (BazSym0 :: a)+ class SFoo a => SBar1 a where+ sQuux1 :: Sing (Quux1Sym0 :: a)+ default sQuux1 ::+ (Quux1Sym0 :: a) ~ Quux1_0123456789876543210Sym0 =>+ Sing (Quux1Sym0 :: a)+ sQuux1 = sBaz+ class SFoo a => SBar2 a
tests/compile-and-dump/Singletons/T175.hs view
@@ -5,7 +5,6 @@ {-# LANGUAGE ScopedTypeVariables #-} {-# LANGUAGE TemplateHaskell #-} {-# LANGUAGE TypeFamilies #-}-{-# LANGUAGE TypeInType #-} {-# LANGUAGE UndecidableInstances #-} {-# LANGUAGE FlexibleContexts #-}
− tests/compile-and-dump/Singletons/T176.ghc84.template
@@ -1,137 +0,0 @@-Singletons/T176.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| quux1 :: Foo1 a => a -> a- quux1 x = x `bar1` \ _ -> baz1- quux2 :: Foo2 a => a -> a- quux2 x = x `bar2` baz2- - class Foo1 a where- bar1 :: a -> (a -> b) -> b- baz1 :: a- class Foo2 a where- bar2 :: a -> b -> b- baz2 :: a |]- ======>- class Foo1 a where- bar1 :: a -> (a -> b) -> b- baz1 :: a- quux1 :: Foo1 a => a -> a- quux1 x = (x `bar1` (\ _ -> baz1))- class Foo2 a where- bar2 :: a -> b -> b- baz2 :: a- quux2 :: Foo2 a => a -> a- quux2 x = (x `bar2` baz2)- type family Case_0123456789876543210 x arg_0123456789876543210 t where- Case_0123456789876543210 x arg_0123456789876543210 _ = Baz1Sym0- type family Lambda_0123456789876543210 x t where- Lambda_0123456789876543210 x arg_0123456789876543210 = Case_0123456789876543210 x arg_0123456789876543210 arg_0123456789876543210- type Lambda_0123456789876543210Sym2 t t =- Lambda_0123456789876543210 t t- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym1 l l- = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym1 l) arg) (Lambda_0123456789876543210Sym2 l arg) =>- Lambda_0123456789876543210Sym1KindInference- type instance Apply (Lambda_0123456789876543210Sym1 l) l = Lambda_0123456789876543210 l l- instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Lambda_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Lambda_0123456789876543210Sym0 l- = forall arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>- Lambda_0123456789876543210Sym0KindInference- type instance Apply Lambda_0123456789876543210Sym0 l = Lambda_0123456789876543210Sym1 l- type Quux2Sym1 (t :: a0123456789876543210) = Quux2 t- instance SuppressUnusedWarnings Quux2Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Quux2Sym0KindInference) GHC.Tuple.())- data Quux2Sym0 (l :: TyFun a0123456789876543210 a0123456789876543210)- = forall arg. SameKind (Apply Quux2Sym0 arg) (Quux2Sym1 arg) =>- Quux2Sym0KindInference- type instance Apply Quux2Sym0 l = Quux2 l- type Quux1Sym1 (t :: a0123456789876543210) = Quux1 t- instance SuppressUnusedWarnings Quux1Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Quux1Sym0KindInference) GHC.Tuple.())- data Quux1Sym0 (l :: TyFun a0123456789876543210 a0123456789876543210)- = forall arg. SameKind (Apply Quux1Sym0 arg) (Quux1Sym1 arg) =>- Quux1Sym0KindInference- type instance Apply Quux1Sym0 l = Quux1 l- type family Quux2 (a :: a) :: a where- Quux2 x = Apply (Apply Bar2Sym0 x) Baz2Sym0- type family Quux1 (a :: a) :: a where- Quux1 x = Apply (Apply Bar1Sym0 x) (Apply Lambda_0123456789876543210Sym0 x)- type Bar1Sym2 (t :: a0123456789876543210) (t :: TyFun a0123456789876543210 b0123456789876543210- -> Type) =- Bar1 t t- instance SuppressUnusedWarnings Bar1Sym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Bar1Sym1KindInference) GHC.Tuple.())- data Bar1Sym1 (l :: a0123456789876543210) (l :: TyFun (TyFun a0123456789876543210 b0123456789876543210- -> Type) b0123456789876543210)- = forall arg. SameKind (Apply (Bar1Sym1 l) arg) (Bar1Sym2 l arg) =>- Bar1Sym1KindInference- type instance Apply (Bar1Sym1 l) l = Bar1 l l- instance SuppressUnusedWarnings Bar1Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Bar1Sym0KindInference) GHC.Tuple.())- data Bar1Sym0 (l :: TyFun a0123456789876543210 (TyFun (TyFun a0123456789876543210 b0123456789876543210- -> Type) b0123456789876543210- -> Type))- = forall arg. SameKind (Apply Bar1Sym0 arg) (Bar1Sym1 arg) =>- Bar1Sym0KindInference- type instance Apply Bar1Sym0 l = Bar1Sym1 l- type Baz1Sym0 = Baz1- class PFoo1 (a :: Type) where- type Bar1 (arg :: a) (arg :: TyFun a b -> Type) :: b- type Baz1 :: a- type Bar2Sym2 (t :: a0123456789876543210) (t :: b0123456789876543210) =- Bar2 t t- instance SuppressUnusedWarnings Bar2Sym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Bar2Sym1KindInference) GHC.Tuple.())- data Bar2Sym1 (l :: a0123456789876543210) (l :: TyFun b0123456789876543210 b0123456789876543210)- = forall arg. SameKind (Apply (Bar2Sym1 l) arg) (Bar2Sym2 l arg) =>- Bar2Sym1KindInference- type instance Apply (Bar2Sym1 l) l = Bar2 l l- instance SuppressUnusedWarnings Bar2Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) Bar2Sym0KindInference) GHC.Tuple.())- data Bar2Sym0 (l :: TyFun a0123456789876543210 (TyFun b0123456789876543210 b0123456789876543210- -> Type))- = forall arg. SameKind (Apply Bar2Sym0 arg) (Bar2Sym1 arg) =>- Bar2Sym0KindInference- type instance Apply Bar2Sym0 l = Bar2Sym1 l- type Baz2Sym0 = Baz2- class PFoo2 (a :: Type) where- type Bar2 (arg :: a) (arg :: b) :: b- type Baz2 :: a- sQuux2 ::- forall (t :: a). SFoo2 a => Sing t -> Sing (Apply Quux2Sym0 t :: a)- sQuux1 ::- forall (t :: a). SFoo1 a => Sing t -> Sing (Apply Quux1Sym0 t :: a)- sQuux2 (sX :: Sing x)- = (applySing ((applySing ((singFun2 @Bar2Sym0) sBar2)) sX)) sBaz2- sQuux1 (sX :: Sing x)- = (applySing ((applySing ((singFun2 @Bar1Sym0) sBar1)) sX))- ((singFun1 @(Apply Lambda_0123456789876543210Sym0 x))- (\ sArg_0123456789876543210- -> case sArg_0123456789876543210 of {- _ :: Sing arg_0123456789876543210- -> case sArg_0123456789876543210 of { _ -> sBaz1 } ::- Sing (Case_0123456789876543210 x arg_0123456789876543210 arg_0123456789876543210) }))- class SFoo1 a where- sBar1 ::- forall (t :: a) (t :: TyFun a b -> Type).- Sing t -> Sing t -> Sing (Apply (Apply Bar1Sym0 t) t :: b)- sBaz1 :: Sing (Baz1Sym0 :: a)- class SFoo2 a where- sBar2 ::- forall (t :: a) (t :: b).- Sing t -> Sing t -> Sing (Apply (Apply Bar2Sym0 t) t :: b)- sBaz2 :: Sing (Baz2Sym0 :: a)
+ tests/compile-and-dump/Singletons/T176.ghc86.template view
@@ -0,0 +1,166 @@+Singletons/T176.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| quux1 :: Foo1 a => a -> a+ quux1 x = x `bar1` \ _ -> baz1+ quux2 :: Foo2 a => a -> a+ quux2 x = x `bar2` baz2+ + class Foo1 a where+ bar1 :: a -> (a -> b) -> b+ baz1 :: a+ class Foo2 a where+ bar2 :: a -> b -> b+ baz2 :: a |]+ ======>+ class Foo1 a where+ bar1 :: a -> (a -> b) -> b+ baz1 :: a+ quux1 :: Foo1 a => a -> a+ quux1 x = (x `bar1` (\ _ -> baz1))+ class Foo2 a where+ bar2 :: a -> b -> b+ baz2 :: a+ quux2 :: Foo2 a => a -> a+ quux2 x = (x `bar2` baz2)+ type family Case_0123456789876543210 x arg_0123456789876543210 t where+ Case_0123456789876543210 x arg_0123456789876543210 _ = Baz1Sym0+ type family Lambda_0123456789876543210 x t where+ Lambda_0123456789876543210 x arg_0123456789876543210 = Case_0123456789876543210 x arg_0123456789876543210 arg_0123456789876543210+ type Lambda_0123456789876543210Sym2 x0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 x0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 x0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall x0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 x0123456789876543210) arg) (Lambda_0123456789876543210Sym2 x0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 x0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 x0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 x0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 x0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 x0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 x0123456789876543210 = Lambda_0123456789876543210Sym1 x0123456789876543210+ type Quux2Sym1 (a0123456789876543210 :: a0123456789876543210) =+ Quux2 a0123456789876543210+ instance SuppressUnusedWarnings Quux2Sym0 where+ suppressUnusedWarnings = snd (((,) Quux2Sym0KindInference) ())+ data Quux2Sym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 a0123456789876543210+ where+ Quux2Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Quux2Sym0 arg) (Quux2Sym1 arg) =>+ Quux2Sym0 a0123456789876543210+ type instance Apply Quux2Sym0 a0123456789876543210 = Quux2 a0123456789876543210+ type Quux1Sym1 (a0123456789876543210 :: a0123456789876543210) =+ Quux1 a0123456789876543210+ instance SuppressUnusedWarnings Quux1Sym0 where+ suppressUnusedWarnings = snd (((,) Quux1Sym0KindInference) ())+ data Quux1Sym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 a0123456789876543210+ where+ Quux1Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Quux1Sym0 arg) (Quux1Sym1 arg) =>+ Quux1Sym0 a0123456789876543210+ type instance Apply Quux1Sym0 a0123456789876543210 = Quux1 a0123456789876543210+ type family Quux2 (a :: a) :: a where+ Quux2 x = Apply (Apply Bar2Sym0 x) Baz2Sym0+ type family Quux1 (a :: a) :: a where+ Quux1 x = Apply (Apply Bar1Sym0 x) (Apply Lambda_0123456789876543210Sym0 x)+ type Bar1Sym2 (arg0123456789876543210 :: a0123456789876543210) (arg0123456789876543210 :: (~>) a0123456789876543210 b0123456789876543210) =+ Bar1 arg0123456789876543210 arg0123456789876543210+ instance SuppressUnusedWarnings (Bar1Sym1 arg0123456789876543210) where+ suppressUnusedWarnings = snd (((,) Bar1Sym1KindInference) ())+ data Bar1Sym1 (arg0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210.+ (~>) ((~>) a0123456789876543210 b0123456789876543210) b0123456789876543210+ where+ Bar1Sym1KindInference :: forall arg0123456789876543210+ arg0123456789876543210+ arg. SameKind (Apply (Bar1Sym1 arg0123456789876543210) arg) (Bar1Sym2 arg0123456789876543210 arg) =>+ Bar1Sym1 arg0123456789876543210 arg0123456789876543210+ type instance Apply (Bar1Sym1 arg0123456789876543210) arg0123456789876543210 = Bar1 arg0123456789876543210 arg0123456789876543210+ instance SuppressUnusedWarnings Bar1Sym0 where+ suppressUnusedWarnings = snd (((,) Bar1Sym0KindInference) ())+ data Bar1Sym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) a0123456789876543210 ((~>) ((~>) a0123456789876543210 b0123456789876543210) b0123456789876543210)+ where+ Bar1Sym0KindInference :: forall arg0123456789876543210+ arg. SameKind (Apply Bar1Sym0 arg) (Bar1Sym1 arg) =>+ Bar1Sym0 arg0123456789876543210+ type instance Apply Bar1Sym0 arg0123456789876543210 = Bar1Sym1 arg0123456789876543210+ type Baz1Sym0 = Baz1+ class PFoo1 (a :: Type) where+ type Bar1 (arg :: a) (arg :: (~>) a b) :: b+ type Baz1 :: a+ type Bar2Sym2 (arg0123456789876543210 :: a0123456789876543210) (arg0123456789876543210 :: b0123456789876543210) =+ Bar2 arg0123456789876543210 arg0123456789876543210+ instance SuppressUnusedWarnings (Bar2Sym1 arg0123456789876543210) where+ suppressUnusedWarnings = snd (((,) Bar2Sym1KindInference) ())+ data Bar2Sym1 (arg0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210.+ (~>) b0123456789876543210 b0123456789876543210+ where+ Bar2Sym1KindInference :: forall arg0123456789876543210+ arg0123456789876543210+ arg. SameKind (Apply (Bar2Sym1 arg0123456789876543210) arg) (Bar2Sym2 arg0123456789876543210 arg) =>+ Bar2Sym1 arg0123456789876543210 arg0123456789876543210+ type instance Apply (Bar2Sym1 arg0123456789876543210) arg0123456789876543210 = Bar2 arg0123456789876543210 arg0123456789876543210+ instance SuppressUnusedWarnings Bar2Sym0 where+ suppressUnusedWarnings = snd (((,) Bar2Sym0KindInference) ())+ data Bar2Sym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) a0123456789876543210 ((~>) b0123456789876543210 b0123456789876543210)+ where+ Bar2Sym0KindInference :: forall arg0123456789876543210+ arg. SameKind (Apply Bar2Sym0 arg) (Bar2Sym1 arg) =>+ Bar2Sym0 arg0123456789876543210+ type instance Apply Bar2Sym0 arg0123456789876543210 = Bar2Sym1 arg0123456789876543210+ type Baz2Sym0 = Baz2+ class PFoo2 (a :: Type) where+ type Bar2 (arg :: a) (arg :: b) :: b+ type Baz2 :: a+ sQuux2 ::+ forall a (t :: a).+ SFoo2 a => Sing t -> Sing (Apply Quux2Sym0 t :: a)+ sQuux1 ::+ forall a (t :: a).+ SFoo1 a => Sing t -> Sing (Apply Quux1Sym0 t :: a)+ sQuux2 (sX :: Sing x)+ = (applySing ((applySing ((singFun2 @Bar2Sym0) sBar2)) sX)) sBaz2+ sQuux1 (sX :: Sing x)+ = (applySing ((applySing ((singFun2 @Bar1Sym0) sBar1)) sX))+ ((singFun1 @(Apply Lambda_0123456789876543210Sym0 x))+ (\ sArg_0123456789876543210+ -> case sArg_0123456789876543210 of {+ (_ :: Sing arg_0123456789876543210)+ -> (case sArg_0123456789876543210 of { _ -> sBaz1 }) ::+ Sing (Case_0123456789876543210 x arg_0123456789876543210 arg_0123456789876543210) }))+ instance SFoo2 a => SingI (Quux2Sym0 :: (~>) a a) where+ sing = (singFun1 @Quux2Sym0) sQuux2+ instance SFoo1 a => SingI (Quux1Sym0 :: (~>) a a) where+ sing = (singFun1 @Quux1Sym0) sQuux1+ class SFoo1 a where+ sBar1 ::+ forall b (t :: a) (t :: (~>) a b).+ Sing t -> Sing t -> Sing (Apply (Apply Bar1Sym0 t) t :: b)+ sBaz1 :: Sing (Baz1Sym0 :: a)+ class SFoo2 a where+ sBar2 ::+ forall b (t :: a) (t :: b).+ Sing t -> Sing t -> Sing (Apply (Apply Bar2Sym0 t) t :: b)+ sBaz2 :: Sing (Baz2Sym0 :: a)+ instance SFoo1 a =>+ SingI (Bar1Sym0 :: (~>) a ((~>) ((~>) a b) b)) where+ sing = (singFun2 @Bar1Sym0) sBar1+ instance (SFoo1 a, SingI d) =>+ SingI (Bar1Sym1 (d :: a) :: (~>) ((~>) a b) b) where+ sing = (singFun1 @(Bar1Sym1 (d :: a))) (sBar1 (sing @d))+ instance SFoo2 a => SingI (Bar2Sym0 :: (~>) a ((~>) b b)) where+ sing = (singFun2 @Bar2Sym0) sBar2+ instance (SFoo2 a, SingI d) =>+ SingI (Bar2Sym1 (d :: a) :: (~>) b b) where+ sing = (singFun1 @(Bar2Sym1 (d :: a))) (sBar2 (sing @d))
tests/compile-and-dump/Singletons/T176.hs view
@@ -5,7 +5,6 @@ {-# LANGUAGE ScopedTypeVariables #-} {-# LANGUAGE TemplateHaskell #-} {-# LANGUAGE TypeFamilies #-}-{-# LANGUAGE TypeInType #-} {-# LANGUAGE UndecidableInstances #-} module T176 where
− tests/compile-and-dump/Singletons/T178.ghc84.template
@@ -1,217 +0,0 @@-Singletons/T178.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| empty :: U- empty = []- - data Occ- = Str | Opt | Many- deriving (Eq, Ord, Show)- type U = [(Symbol, Occ)] |]- ======>- data Occ- = Str | Opt | Many- deriving (Eq, Ord, Show)- type U = [(Symbol, Occ)]- empty :: U- empty = []- type StrSym0 = Str- type OptSym0 = Opt- type ManySym0 = Many- type EmptySym0 = Empty- type family Empty :: [(Symbol, Occ)] where- Empty = '[]- type family Compare_0123456789876543210 (a :: Occ) (a :: Occ) :: Ordering where- Compare_0123456789876543210 Str Str = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) '[]- Compare_0123456789876543210 Opt Opt = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) '[]- Compare_0123456789876543210 Many Many = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) '[]- Compare_0123456789876543210 Str Opt = LTSym0- Compare_0123456789876543210 Str Many = LTSym0- Compare_0123456789876543210 Opt Str = GTSym0- Compare_0123456789876543210 Opt Many = LTSym0- Compare_0123456789876543210 Many Str = GTSym0- Compare_0123456789876543210 Many Opt = GTSym0- type Compare_0123456789876543210Sym2 (t :: Occ) (t :: Occ) =- Compare_0123456789876543210 t t- instance SuppressUnusedWarnings Compare_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Compare_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Compare_0123456789876543210Sym1 (l :: Occ) (l :: TyFun Occ Ordering)- = forall arg. SameKind (Apply (Compare_0123456789876543210Sym1 l) arg) (Compare_0123456789876543210Sym2 l arg) =>- Compare_0123456789876543210Sym1KindInference- type instance Apply (Compare_0123456789876543210Sym1 l) l = Compare_0123456789876543210 l l- instance SuppressUnusedWarnings Compare_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Compare_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Compare_0123456789876543210Sym0 (l :: TyFun Occ (TyFun Occ Ordering- -> GHC.Types.Type))- = forall arg. SameKind (Apply Compare_0123456789876543210Sym0 arg) (Compare_0123456789876543210Sym1 arg) =>- Compare_0123456789876543210Sym0KindInference- type instance Apply Compare_0123456789876543210Sym0 l = Compare_0123456789876543210Sym1 l- instance POrd Occ where- type Compare a a = Apply (Apply Compare_0123456789876543210Sym0 a) a- type family ShowsPrec_0123456789876543210 (a :: Nat) (a :: Occ) (a :: Symbol) :: Symbol where- ShowsPrec_0123456789876543210 _ Str a_0123456789876543210 = Apply (Apply ShowStringSym0 "Str") a_0123456789876543210- ShowsPrec_0123456789876543210 _ Opt a_0123456789876543210 = Apply (Apply ShowStringSym0 "Opt") a_0123456789876543210- ShowsPrec_0123456789876543210 _ Many a_0123456789876543210 = Apply (Apply ShowStringSym0 "Many") a_0123456789876543210- type ShowsPrec_0123456789876543210Sym3 (t :: Nat) (t :: Occ) (t :: Symbol) =- ShowsPrec_0123456789876543210 t t t- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym2 (l :: Nat) (l :: Occ) (l :: TyFun Symbol Symbol)- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 l l) arg) (ShowsPrec_0123456789876543210Sym3 l l arg) =>- ShowsPrec_0123456789876543210Sym2KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym2 l l) l = ShowsPrec_0123456789876543210 l l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym1 (l :: Nat) (l :: TyFun Occ (TyFun Symbol Symbol- -> GHC.Types.Type))- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 l) arg) (ShowsPrec_0123456789876543210Sym2 l arg) =>- ShowsPrec_0123456789876543210Sym1KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym1 l) l = ShowsPrec_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym0 (l :: TyFun Nat (TyFun Occ (TyFun Symbol Symbol- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>- ShowsPrec_0123456789876543210Sym0KindInference- type instance Apply ShowsPrec_0123456789876543210Sym0 l = ShowsPrec_0123456789876543210Sym1 l- instance PShow Occ where- type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a- type family Equals_0123456789876543210 (a :: Occ) (b :: Occ) :: Bool where- Equals_0123456789876543210 Str Str = TrueSym0- Equals_0123456789876543210 Opt Opt = TrueSym0- Equals_0123456789876543210 Many Many = TrueSym0- Equals_0123456789876543210 (_ :: Occ) (_ :: Occ) = FalseSym0- instance PEq Occ where- type (==) a b = Equals_0123456789876543210 a b- sEmpty :: Sing (EmptySym0 :: [(Symbol, Occ)])- sEmpty = Data.Singletons.Prelude.Instances.SNil- data instance Sing (z :: Occ)- where- SStr :: Sing Str- SOpt :: Sing Opt- SMany :: Sing Many- type SOcc = (Sing :: Occ -> GHC.Types.Type)- instance SingKind Occ where- type Demote Occ = Occ- fromSing SStr = Str- fromSing SOpt = Opt- fromSing SMany = Many- toSing Str = SomeSing SStr- toSing Opt = SomeSing SOpt- toSing Many = SomeSing SMany- instance SOrd Occ where- sCompare ::- forall (t1 :: Occ) (t2 :: Occ).- Sing t1- -> Sing t2- -> Sing (Apply (Apply (CompareSym0 :: TyFun Occ (TyFun Occ Ordering- -> GHC.Types.Type)- -> GHC.Types.Type) t1) t2)- sCompare SStr SStr- = (applySing- ((applySing- ((applySing ((singFun3 @FoldlSym0) sFoldl))- ((singFun2 @ThenCmpSym0) sThenCmp)))- SEQ))- Data.Singletons.Prelude.Instances.SNil- sCompare SOpt SOpt- = (applySing- ((applySing- ((applySing ((singFun3 @FoldlSym0) sFoldl))- ((singFun2 @ThenCmpSym0) sThenCmp)))- SEQ))- Data.Singletons.Prelude.Instances.SNil- sCompare SMany SMany- = (applySing- ((applySing- ((applySing ((singFun3 @FoldlSym0) sFoldl))- ((singFun2 @ThenCmpSym0) sThenCmp)))- SEQ))- Data.Singletons.Prelude.Instances.SNil- sCompare SStr SOpt = SLT- sCompare SStr SMany = SLT- sCompare SOpt SStr = SGT- sCompare SOpt SMany = SLT- sCompare SMany SStr = SGT- sCompare SMany SOpt = SGT- instance SShow Occ where- sShowsPrec ::- forall (t1 :: Nat) (t2 :: Occ) (t3 :: Symbol).- Sing t1- -> Sing t2- -> Sing t3- -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun Nat (TyFun Occ (TyFun Symbol Symbol- -> GHC.Types.Type)- -> GHC.Types.Type)- -> GHC.Types.Type) t1) t2) t3)- sShowsPrec- _- SStr- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "Str")))- sA_0123456789876543210- sShowsPrec- _- SOpt- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "Opt")))- sA_0123456789876543210- sShowsPrec- _- SMany- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "Many")))- sA_0123456789876543210- instance SEq Occ where- (%==) SStr SStr = STrue- (%==) SStr SOpt = SFalse- (%==) SStr SMany = SFalse- (%==) SOpt SStr = SFalse- (%==) SOpt SOpt = STrue- (%==) SOpt SMany = SFalse- (%==) SMany SStr = SFalse- (%==) SMany SOpt = SFalse- (%==) SMany SMany = STrue- instance SDecide Occ where- (%~) SStr SStr = Proved Refl- (%~) SStr SOpt = Disproved (\ x -> case x of)- (%~) SStr SMany = Disproved (\ x -> case x of)- (%~) SOpt SStr = Disproved (\ x -> case x of)- (%~) SOpt SOpt = Proved Refl- (%~) SOpt SMany = Disproved (\ x -> case x of)- (%~) SMany SStr = Disproved (\ x -> case x of)- (%~) SMany SOpt = Disproved (\ x -> case x of)- (%~) SMany SMany = Proved Refl- instance Data.Singletons.ShowSing.ShowSing Occ where- Data.Singletons.ShowSing.showsSingPrec _ SStr = showString "SStr"- Data.Singletons.ShowSing.showsSingPrec _ SOpt = showString "SOpt"- Data.Singletons.ShowSing.showsSingPrec _ SMany = showString "SMany"- instance Show (Sing (z :: Occ)) where- showsPrec = Data.Singletons.ShowSing.showsSingPrec- instance SingI Str where- sing = SStr- instance SingI Opt where- sing = SOpt- instance SingI Many where- sing = SMany
+ tests/compile-and-dump/Singletons/T178.ghc86.template view
@@ -0,0 +1,210 @@+Singletons/T178.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| empty :: U+ empty = []+ + data Occ+ = Str | Opt | Many+ deriving (Eq, Ord, Show)+ type U = [(Symbol, Occ)] |]+ ======>+ data Occ+ = Str | Opt | Many+ deriving (Eq, Ord, Show)+ type U = [(Symbol, Occ)]+ empty :: U+ empty = []+ type USym0 = U+ type StrSym0 = Str+ type OptSym0 = Opt+ type ManySym0 = Many+ type EmptySym0 = Empty+ type family Empty :: [(Symbol, Occ)] where+ Empty = '[]+ type family Compare_0123456789876543210 (a :: Occ) (a :: Occ) :: Ordering where+ Compare_0123456789876543210 Str Str = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) '[]+ Compare_0123456789876543210 Opt Opt = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) '[]+ Compare_0123456789876543210 Many Many = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) '[]+ Compare_0123456789876543210 Str Opt = LTSym0+ Compare_0123456789876543210 Str Many = LTSym0+ Compare_0123456789876543210 Opt Str = GTSym0+ Compare_0123456789876543210 Opt Many = LTSym0+ Compare_0123456789876543210 Many Str = GTSym0+ Compare_0123456789876543210 Many Opt = GTSym0+ type Compare_0123456789876543210Sym2 (a0123456789876543210 :: Occ) (a0123456789876543210 :: Occ) =+ Compare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Compare_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Compare_0123456789876543210Sym1KindInference) ())+ data Compare_0123456789876543210Sym1 (a0123456789876543210 :: Occ) :: (~>) Occ Ordering+ where+ Compare_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Compare_0123456789876543210Sym1 a0123456789876543210) arg) (Compare_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Compare_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Compare_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = Compare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Compare_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Compare_0123456789876543210Sym0KindInference) ())+ data Compare_0123456789876543210Sym0 :: (~>) Occ ((~>) Occ Ordering)+ where+ Compare_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Compare_0123456789876543210Sym0 arg) (Compare_0123456789876543210Sym1 arg) =>+ Compare_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Compare_0123456789876543210Sym0 a0123456789876543210 = Compare_0123456789876543210Sym1 a0123456789876543210+ instance POrd Occ where+ type Compare a a = Apply (Apply Compare_0123456789876543210Sym0 a) a+ type family ShowsPrec_0123456789876543210 (a :: Nat) (a :: Occ) (a :: Symbol) :: Symbol where+ ShowsPrec_0123456789876543210 _ Str a_0123456789876543210 = Apply (Apply ShowStringSym0 "Str") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ Opt a_0123456789876543210 = Apply (Apply ShowStringSym0 "Opt") a_0123456789876543210+ ShowsPrec_0123456789876543210 _ Many a_0123456789876543210 = Apply (Apply ShowStringSym0 "Many") a_0123456789876543210+ type ShowsPrec_0123456789876543210Sym3 (a0123456789876543210 :: Nat) (a0123456789876543210 :: Occ) (a0123456789876543210 :: Symbol) =+ ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym2KindInference) ())+ data ShowsPrec_0123456789876543210Sym2 (a0123456789876543210 :: Nat) (a0123456789876543210 :: Occ) :: (~>) Symbol Symbol+ where+ ShowsPrec_0123456789876543210Sym2KindInference :: forall a0123456789876543210+ a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym3 a0123456789876543210 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym1KindInference) ())+ data ShowsPrec_0123456789876543210Sym1 (a0123456789876543210 :: Nat) :: (~>) Occ ((~>) Symbol Symbol)+ where+ ShowsPrec_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym0KindInference) ())+ data ShowsPrec_0123456789876543210Sym0 :: (~>) Nat ((~>) Occ ((~>) Symbol Symbol))+ where+ ShowsPrec_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>+ ShowsPrec_0123456789876543210Sym0 a0123456789876543210+ type instance Apply ShowsPrec_0123456789876543210Sym0 a0123456789876543210 = ShowsPrec_0123456789876543210Sym1 a0123456789876543210+ instance PShow Occ where+ type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a+ type family Equals_0123456789876543210 (a :: Occ) (b :: Occ) :: Bool where+ Equals_0123456789876543210 Str Str = TrueSym0+ Equals_0123456789876543210 Opt Opt = TrueSym0+ Equals_0123456789876543210 Many Many = TrueSym0+ Equals_0123456789876543210 (_ :: Occ) (_ :: Occ) = FalseSym0+ instance PEq Occ where+ type (==) a b = Equals_0123456789876543210 a b+ sEmpty :: Sing (EmptySym0 :: [(Symbol, Occ)])+ sEmpty = Data.Singletons.Prelude.Instances.SNil+ data instance Sing :: Occ -> GHC.Types.Type+ where+ SStr :: Sing Str+ SOpt :: Sing Opt+ SMany :: Sing Many+ type SOcc = (Sing :: Occ -> GHC.Types.Type)+ instance SingKind Occ where+ type Demote Occ = Occ+ fromSing SStr = Str+ fromSing SOpt = Opt+ fromSing SMany = Many+ toSing Str = SomeSing SStr+ toSing Opt = SomeSing SOpt+ toSing Many = SomeSing SMany+ instance SOrd Occ where+ sCompare ::+ forall (t1 :: Occ) (t2 :: Occ).+ Sing t1+ -> Sing t2+ -> Sing (Apply (Apply (CompareSym0 :: TyFun Occ ((~>) Occ Ordering)+ -> GHC.Types.Type) t1) t2)+ sCompare SStr SStr+ = (applySing+ ((applySing+ ((applySing ((singFun3 @FoldlSym0) sFoldl))+ ((singFun2 @ThenCmpSym0) sThenCmp)))+ SEQ))+ Data.Singletons.Prelude.Instances.SNil+ sCompare SOpt SOpt+ = (applySing+ ((applySing+ ((applySing ((singFun3 @FoldlSym0) sFoldl))+ ((singFun2 @ThenCmpSym0) sThenCmp)))+ SEQ))+ Data.Singletons.Prelude.Instances.SNil+ sCompare SMany SMany+ = (applySing+ ((applySing+ ((applySing ((singFun3 @FoldlSym0) sFoldl))+ ((singFun2 @ThenCmpSym0) sThenCmp)))+ SEQ))+ Data.Singletons.Prelude.Instances.SNil+ sCompare SStr SOpt = SLT+ sCompare SStr SMany = SLT+ sCompare SOpt SStr = SGT+ sCompare SOpt SMany = SLT+ sCompare SMany SStr = SGT+ sCompare SMany SOpt = SGT+ instance SShow Occ where+ sShowsPrec ::+ forall (t1 :: Nat) (t2 :: Occ) (t3 :: Symbol).+ Sing t1+ -> Sing t2+ -> Sing t3+ -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun Nat ((~>) Occ ((~>) Symbol Symbol))+ -> GHC.Types.Type) t1) t2) t3)+ sShowsPrec+ _+ SStr+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "Str")))+ sA_0123456789876543210+ sShowsPrec+ _+ SOpt+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "Opt")))+ sA_0123456789876543210+ sShowsPrec+ _+ SMany+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "Many")))+ sA_0123456789876543210+ instance SEq Occ where+ (%==) SStr SStr = STrue+ (%==) SStr SOpt = SFalse+ (%==) SStr SMany = SFalse+ (%==) SOpt SStr = SFalse+ (%==) SOpt SOpt = STrue+ (%==) SOpt SMany = SFalse+ (%==) SMany SStr = SFalse+ (%==) SMany SOpt = SFalse+ (%==) SMany SMany = STrue+ instance SDecide Occ where+ (%~) SStr SStr = Proved Refl+ (%~) SStr SOpt = Disproved (\ x -> case x of)+ (%~) SStr SMany = Disproved (\ x -> case x of)+ (%~) SOpt SStr = Disproved (\ x -> case x of)+ (%~) SOpt SOpt = Proved Refl+ (%~) SOpt SMany = Disproved (\ x -> case x of)+ (%~) SMany SStr = Disproved (\ x -> case x of)+ (%~) SMany SOpt = Disproved (\ x -> case x of)+ (%~) SMany SMany = Proved Refl+ deriving instance Show (Sing (z :: Occ))+ instance SingI Str where+ sing = SStr+ instance SingI Opt where+ sing = SOpt+ instance SingI Many where+ sing = SMany
+ tests/compile-and-dump/Singletons/T183.ghc86.template view
@@ -0,0 +1,512 @@+Singletons/T183.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| f1 (x :: Maybe Bool) = (x :: Maybe Bool)+ f2 (x :: Maybe a) = (x :: Maybe a)+ f3 (Just a :: Maybe Bool) = "hi"+ g x = case Just x of { (Just y :: Maybe Bool) -> (y :: Bool) }+ foo1 :: Maybe a -> a+ foo1 (Just x :: Maybe a) = (x :: a)+ foo2, foo3 :: forall a. Maybe a -> a+ foo2 (Just x :: Maybe a) = (x :: a)+ foo3 (Just x) = (x :: a)+ foo4 :: (a, b) -> (b, a)+ foo4 = \ (x :: a, y :: b) -> (y :: b, x :: a)+ foo5, foo6 :: Maybe (Maybe a) -> Maybe (Maybe a)+ foo5 (Just (Just (x :: a) :: Maybe a) :: Maybe (Maybe a))+ = Just (Just (x :: a) :: Maybe a) :: Maybe (Maybe a)+ foo6 (Just x :: Maybe (Maybe a))+ = case x :: Maybe a of {+ (Just (y :: a) :: Maybe a) -> Just (Just (y :: a) :: Maybe a) }+ foo7 :: a -> b -> a+ foo7 (x :: a) (_ :: b) = (x :: a)+ foo8 :: forall a. Maybe a -> Maybe a+ foo8 x@(Just (_ :: a) :: Maybe a) = x+ foo9 :: a -> a+ foo9 (x :: a)+ = let+ g :: a -> b -> a+ g y _ = y+ in g x () |]+ ======>+ f1 (x :: Maybe Bool) = x :: Maybe Bool+ f2 (x :: Maybe a) = x :: Maybe a+ f3 (Just a :: Maybe Bool) = "hi"+ g x = case Just x of { (Just y :: Maybe Bool) -> y :: Bool }+ foo1 :: Maybe a -> a+ foo1 (Just x :: Maybe a) = x :: a+ foo2 :: forall a. Maybe a -> a+ foo3 :: forall a. Maybe a -> a+ foo2 (Just x :: Maybe a) = x :: a+ foo3 (Just x) = x :: a+ foo4 :: (a, b) -> (b, a)+ foo4 = \ (x :: a, y :: b) -> (y :: b, x :: a)+ foo5 :: Maybe (Maybe a) -> Maybe (Maybe a)+ foo6 :: Maybe (Maybe a) -> Maybe (Maybe a)+ foo5 (Just (Just (x :: a) :: Maybe a) :: Maybe (Maybe a))+ = Just (Just (x :: a) :: Maybe a) :: Maybe (Maybe a)+ foo6 (Just x :: Maybe (Maybe a))+ = case x :: Maybe a of {+ (Just (y :: a) :: Maybe a) -> Just (Just (y :: a) :: Maybe a) }+ foo7 :: a -> b -> a+ foo7 (x :: a) (_ :: b) = x :: a+ foo8 :: forall a. Maybe a -> Maybe a+ foo8 x@(Just (_ :: a) :: Maybe a) = x+ foo9 :: a -> a+ foo9 (x :: a)+ = let+ g :: a -> b -> a+ g y _ = y+ in (g x) ()+ type Let0123456789876543210GSym3 x0123456789876543210 (a0123456789876543210 :: a) (a0123456789876543210 :: b0123456789876543210) =+ Let0123456789876543210G x0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Let0123456789876543210GSym2 a0123456789876543210 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210GSym2KindInference) ())+ data Let0123456789876543210GSym2 x0123456789876543210 (a0123456789876543210 :: a) :: forall b0123456789876543210.+ (~>) b0123456789876543210 a+ where+ Let0123456789876543210GSym2KindInference :: forall x0123456789876543210+ a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Let0123456789876543210GSym2 x0123456789876543210 a0123456789876543210) arg) (Let0123456789876543210GSym3 x0123456789876543210 a0123456789876543210 arg) =>+ Let0123456789876543210GSym2 x0123456789876543210 a0123456789876543210 a0123456789876543210+ type instance Apply (Let0123456789876543210GSym2 a0123456789876543210 x0123456789876543210) a0123456789876543210 = Let0123456789876543210G a0123456789876543210 x0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Let0123456789876543210GSym1 x0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210GSym1KindInference) ())+ data Let0123456789876543210GSym1 x0123456789876543210 :: forall b0123456789876543210+ a.+ (~>) a ((~>) b0123456789876543210 a)+ where+ Let0123456789876543210GSym1KindInference :: forall x0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Let0123456789876543210GSym1 x0123456789876543210) arg) (Let0123456789876543210GSym2 x0123456789876543210 arg) =>+ Let0123456789876543210GSym1 x0123456789876543210 a0123456789876543210+ type instance Apply (Let0123456789876543210GSym1 x0123456789876543210) a0123456789876543210 = Let0123456789876543210GSym2 x0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210GSym0 where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210GSym0KindInference) ())+ data Let0123456789876543210GSym0 x0123456789876543210+ where+ Let0123456789876543210GSym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Let0123456789876543210GSym0 arg) (Let0123456789876543210GSym1 arg) =>+ Let0123456789876543210GSym0 x0123456789876543210+ type instance Apply Let0123456789876543210GSym0 x0123456789876543210 = Let0123456789876543210GSym1 x0123456789876543210+ type family Let0123456789876543210G x (a :: a) (a :: b) :: a where+ Let0123456789876543210G x y _ = y+ type Let0123456789876543210XSym1 wild_01234567898765432100123456789876543210 =+ Let0123456789876543210X wild_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210XSym0 where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210XSym0KindInference) ())+ data Let0123456789876543210XSym0 wild_01234567898765432100123456789876543210+ where+ Let0123456789876543210XSym0KindInference :: forall wild_01234567898765432100123456789876543210+ arg. SameKind (Apply Let0123456789876543210XSym0 arg) (Let0123456789876543210XSym1 arg) =>+ Let0123456789876543210XSym0 wild_01234567898765432100123456789876543210+ type instance Apply Let0123456789876543210XSym0 wild_01234567898765432100123456789876543210 = Let0123456789876543210X wild_01234567898765432100123456789876543210+ type family Let0123456789876543210X wild_0123456789876543210 where+ Let0123456789876543210X wild_0123456789876543210 = (Apply JustSym0 (wild_0123456789876543210 :: a) :: Maybe a)+ type Let0123456789876543210Scrutinee_0123456789876543210Sym1 x0123456789876543210 =+ Let0123456789876543210Scrutinee_0123456789876543210 x0123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210Scrutinee_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd+ (((,)+ Let0123456789876543210Scrutinee_0123456789876543210Sym0KindInference)+ ())+ data Let0123456789876543210Scrutinee_0123456789876543210Sym0 x0123456789876543210+ where+ Let0123456789876543210Scrutinee_0123456789876543210Sym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Let0123456789876543210Scrutinee_0123456789876543210Sym0 arg) (Let0123456789876543210Scrutinee_0123456789876543210Sym1 arg) =>+ Let0123456789876543210Scrutinee_0123456789876543210Sym0 x0123456789876543210+ type instance Apply Let0123456789876543210Scrutinee_0123456789876543210Sym0 x0123456789876543210 = Let0123456789876543210Scrutinee_0123456789876543210 x0123456789876543210+ type family Let0123456789876543210Scrutinee_0123456789876543210 x where+ Let0123456789876543210Scrutinee_0123456789876543210 x = (x :: Maybe a)+ type family Case_0123456789876543210 x t where+ Case_0123456789876543210 x ( 'Just (y :: a) :: Maybe a) = Apply JustSym0 (Apply JustSym0 (y :: a) :: Maybe a)+ type family Case_0123456789876543210 arg_0123456789876543210 a_0123456789876543210 t where+ Case_0123456789876543210 arg_0123456789876543210 a_0123456789876543210 '((x :: a),+ (y :: b)) = Apply (Apply Tuple2Sym0 (y :: b)) (x :: a)+ type family Lambda_0123456789876543210 a_0123456789876543210 t where+ Lambda_0123456789876543210 a_0123456789876543210 arg_0123456789876543210 = Case_0123456789876543210 arg_0123456789876543210 a_0123456789876543210 arg_0123456789876543210+ type Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 a_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 a_01234567898765432100123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall a_01234567898765432100123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 a_01234567898765432100123456789876543210) arg) (Lambda_0123456789876543210Sym2 a_01234567898765432100123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 a_01234567898765432100123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 a_01234567898765432100123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 a_01234567898765432100123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 a_01234567898765432100123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall a_01234567898765432100123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 a_01234567898765432100123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 a_01234567898765432100123456789876543210 = Lambda_0123456789876543210Sym1 a_01234567898765432100123456789876543210+ type Let0123456789876543210Scrutinee_0123456789876543210Sym1 x0123456789876543210 =+ Let0123456789876543210Scrutinee_0123456789876543210 x0123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210Scrutinee_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd+ (((,)+ Let0123456789876543210Scrutinee_0123456789876543210Sym0KindInference)+ ())+ data Let0123456789876543210Scrutinee_0123456789876543210Sym0 x0123456789876543210+ where+ Let0123456789876543210Scrutinee_0123456789876543210Sym0KindInference :: forall x0123456789876543210+ arg. SameKind (Apply Let0123456789876543210Scrutinee_0123456789876543210Sym0 arg) (Let0123456789876543210Scrutinee_0123456789876543210Sym1 arg) =>+ Let0123456789876543210Scrutinee_0123456789876543210Sym0 x0123456789876543210+ type instance Apply Let0123456789876543210Scrutinee_0123456789876543210Sym0 x0123456789876543210 = Let0123456789876543210Scrutinee_0123456789876543210 x0123456789876543210+ type family Let0123456789876543210Scrutinee_0123456789876543210 x where+ Let0123456789876543210Scrutinee_0123456789876543210 x = Apply JustSym0 x+ type family Case_0123456789876543210 x t where+ Case_0123456789876543210 x ( 'Just y :: Maybe Bool) = (y :: Bool)+ type Foo9Sym1 (a0123456789876543210 :: a0123456789876543210) =+ Foo9 a0123456789876543210+ instance SuppressUnusedWarnings Foo9Sym0 where+ suppressUnusedWarnings = snd (((,) Foo9Sym0KindInference) ())+ data Foo9Sym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 a0123456789876543210+ where+ Foo9Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo9Sym0 arg) (Foo9Sym1 arg) =>+ Foo9Sym0 a0123456789876543210+ type instance Apply Foo9Sym0 a0123456789876543210 = Foo9 a0123456789876543210+ type Foo8Sym1 (a0123456789876543210 :: Maybe a0123456789876543210) =+ Foo8 a0123456789876543210+ instance SuppressUnusedWarnings Foo8Sym0 where+ suppressUnusedWarnings = snd (((,) Foo8Sym0KindInference) ())+ data Foo8Sym0 :: forall a0123456789876543210.+ (~>) (Maybe a0123456789876543210) (Maybe a0123456789876543210)+ where+ Foo8Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo8Sym0 arg) (Foo8Sym1 arg) =>+ Foo8Sym0 a0123456789876543210+ type instance Apply Foo8Sym0 a0123456789876543210 = Foo8 a0123456789876543210+ type Foo7Sym2 (a0123456789876543210 :: a0123456789876543210) (a0123456789876543210 :: b0123456789876543210) =+ Foo7 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Foo7Sym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) Foo7Sym1KindInference) ())+ data Foo7Sym1 (a0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210.+ (~>) b0123456789876543210 a0123456789876543210+ where+ Foo7Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Foo7Sym1 a0123456789876543210) arg) (Foo7Sym2 a0123456789876543210 arg) =>+ Foo7Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Foo7Sym1 a0123456789876543210) a0123456789876543210 = Foo7 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Foo7Sym0 where+ suppressUnusedWarnings = snd (((,) Foo7Sym0KindInference) ())+ data Foo7Sym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) a0123456789876543210 ((~>) b0123456789876543210 a0123456789876543210)+ where+ Foo7Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo7Sym0 arg) (Foo7Sym1 arg) =>+ Foo7Sym0 a0123456789876543210+ type instance Apply Foo7Sym0 a0123456789876543210 = Foo7Sym1 a0123456789876543210+ type Foo6Sym1 (a0123456789876543210 :: Maybe (Maybe a0123456789876543210)) =+ Foo6 a0123456789876543210+ instance SuppressUnusedWarnings Foo6Sym0 where+ suppressUnusedWarnings = snd (((,) Foo6Sym0KindInference) ())+ data Foo6Sym0 :: forall a0123456789876543210.+ (~>) (Maybe (Maybe a0123456789876543210)) (Maybe (Maybe a0123456789876543210))+ where+ Foo6Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo6Sym0 arg) (Foo6Sym1 arg) =>+ Foo6Sym0 a0123456789876543210+ type instance Apply Foo6Sym0 a0123456789876543210 = Foo6 a0123456789876543210+ type Foo5Sym1 (a0123456789876543210 :: Maybe (Maybe a0123456789876543210)) =+ Foo5 a0123456789876543210+ instance SuppressUnusedWarnings Foo5Sym0 where+ suppressUnusedWarnings = snd (((,) Foo5Sym0KindInference) ())+ data Foo5Sym0 :: forall a0123456789876543210.+ (~>) (Maybe (Maybe a0123456789876543210)) (Maybe (Maybe a0123456789876543210))+ where+ Foo5Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo5Sym0 arg) (Foo5Sym1 arg) =>+ Foo5Sym0 a0123456789876543210+ type instance Apply Foo5Sym0 a0123456789876543210 = Foo5 a0123456789876543210+ type Foo4Sym1 (a0123456789876543210 :: (a0123456789876543210,+ b0123456789876543210)) =+ Foo4 a0123456789876543210+ instance SuppressUnusedWarnings Foo4Sym0 where+ suppressUnusedWarnings = snd (((,) Foo4Sym0KindInference) ())+ data Foo4Sym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) (a0123456789876543210,+ b0123456789876543210) (b0123456789876543210, a0123456789876543210)+ where+ Foo4Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo4Sym0 arg) (Foo4Sym1 arg) =>+ Foo4Sym0 a0123456789876543210+ type instance Apply Foo4Sym0 a0123456789876543210 = Foo4 a0123456789876543210+ type Foo3Sym1 (a0123456789876543210 :: Maybe a0123456789876543210) =+ Foo3 a0123456789876543210+ instance SuppressUnusedWarnings Foo3Sym0 where+ suppressUnusedWarnings = snd (((,) Foo3Sym0KindInference) ())+ data Foo3Sym0 :: forall a0123456789876543210.+ (~>) (Maybe a0123456789876543210) a0123456789876543210+ where+ Foo3Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo3Sym0 arg) (Foo3Sym1 arg) =>+ Foo3Sym0 a0123456789876543210+ type instance Apply Foo3Sym0 a0123456789876543210 = Foo3 a0123456789876543210+ type Foo2Sym1 (a0123456789876543210 :: Maybe a0123456789876543210) =+ Foo2 a0123456789876543210+ instance SuppressUnusedWarnings Foo2Sym0 where+ suppressUnusedWarnings = snd (((,) Foo2Sym0KindInference) ())+ data Foo2Sym0 :: forall a0123456789876543210.+ (~>) (Maybe a0123456789876543210) a0123456789876543210+ where+ Foo2Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo2Sym0 arg) (Foo2Sym1 arg) =>+ Foo2Sym0 a0123456789876543210+ type instance Apply Foo2Sym0 a0123456789876543210 = Foo2 a0123456789876543210+ type Foo1Sym1 (a0123456789876543210 :: Maybe a0123456789876543210) =+ Foo1 a0123456789876543210+ instance SuppressUnusedWarnings Foo1Sym0 where+ suppressUnusedWarnings = snd (((,) Foo1Sym0KindInference) ())+ data Foo1Sym0 :: forall a0123456789876543210.+ (~>) (Maybe a0123456789876543210) a0123456789876543210+ where+ Foo1Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Foo1Sym0 arg) (Foo1Sym1 arg) =>+ Foo1Sym0 a0123456789876543210+ type instance Apply Foo1Sym0 a0123456789876543210 = Foo1 a0123456789876543210+ type GSym1 a0123456789876543210 = G a0123456789876543210+ instance SuppressUnusedWarnings GSym0 where+ suppressUnusedWarnings = snd (((,) GSym0KindInference) ())+ data GSym0 a0123456789876543210+ where+ GSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply GSym0 arg) (GSym1 arg) =>+ GSym0 a0123456789876543210+ type instance Apply GSym0 a0123456789876543210 = G a0123456789876543210+ type F3Sym1 a0123456789876543210 = F3 a0123456789876543210+ instance SuppressUnusedWarnings F3Sym0 where+ suppressUnusedWarnings = snd (((,) F3Sym0KindInference) ())+ data F3Sym0 a0123456789876543210+ where+ F3Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply F3Sym0 arg) (F3Sym1 arg) =>+ F3Sym0 a0123456789876543210+ type instance Apply F3Sym0 a0123456789876543210 = F3 a0123456789876543210+ type F2Sym1 a0123456789876543210 = F2 a0123456789876543210+ instance SuppressUnusedWarnings F2Sym0 where+ suppressUnusedWarnings = snd (((,) F2Sym0KindInference) ())+ data F2Sym0 a0123456789876543210+ where+ F2Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply F2Sym0 arg) (F2Sym1 arg) =>+ F2Sym0 a0123456789876543210+ type instance Apply F2Sym0 a0123456789876543210 = F2 a0123456789876543210+ type F1Sym1 a0123456789876543210 = F1 a0123456789876543210+ instance SuppressUnusedWarnings F1Sym0 where+ suppressUnusedWarnings = snd (((,) F1Sym0KindInference) ())+ data F1Sym0 a0123456789876543210+ where+ F1Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply F1Sym0 arg) (F1Sym1 arg) =>+ F1Sym0 a0123456789876543210+ type instance Apply F1Sym0 a0123456789876543210 = F1 a0123456789876543210+ type family Foo9 (a :: a) :: a where+ Foo9 (x :: a) = Apply (Apply (Let0123456789876543210GSym1 x) x) Tuple0Sym0+ type family Foo8 (a :: Maybe a) :: Maybe a where+ Foo8 ( 'Just (wild_0123456789876543210 :: a) :: Maybe a) = Let0123456789876543210XSym1 wild_0123456789876543210+ type family Foo7 (a :: a) (a :: b) :: a where+ Foo7 (x :: a) (wild_0123456789876543210 :: b) = (x :: a)+ type family Foo6 (a :: Maybe (Maybe a)) :: Maybe (Maybe a) where+ Foo6 ( 'Just x :: Maybe (Maybe a)) = Case_0123456789876543210 x (Let0123456789876543210Scrutinee_0123456789876543210Sym1 x)+ type family Foo5 (a :: Maybe (Maybe a)) :: Maybe (Maybe a) where+ Foo5 ( 'Just ( 'Just (x :: a) :: Maybe a) :: Maybe (Maybe a)) = (Apply JustSym0 (Apply JustSym0 (x :: a) :: Maybe a) :: Maybe (Maybe a))+ type family Foo4 (a :: (a, b)) :: (b, a) where+ Foo4 a_0123456789876543210 = Apply (Apply Lambda_0123456789876543210Sym0 a_0123456789876543210) a_0123456789876543210+ type family Foo3 (a :: Maybe a) :: a where+ Foo3 ( 'Just x) = (x :: a)+ type family Foo2 (a :: Maybe a) :: a where+ Foo2 ( 'Just x :: Maybe a) = (x :: a)+ type family Foo1 (a :: Maybe a) :: a where+ Foo1 ( 'Just x :: Maybe a) = (x :: a)+ type family G a where+ G x = Case_0123456789876543210 x (Let0123456789876543210Scrutinee_0123456789876543210Sym1 x)+ type family F3 a where+ F3 ( 'Just a :: Maybe Bool) = "hi"+ type family F2 a where+ F2 (x :: Maybe a) = (x :: Maybe a)+ type family F1 a where+ F1 (x :: Maybe Bool) = (x :: Maybe Bool)+ sFoo9 :: forall a (t :: a). Sing t -> Sing (Apply Foo9Sym0 t :: a)+ sFoo8 ::+ forall a (t :: Maybe a).+ Sing t -> Sing (Apply Foo8Sym0 t :: Maybe a)+ sFoo7 ::+ forall a b (t :: a) (t :: b).+ Sing t -> Sing t -> Sing (Apply (Apply Foo7Sym0 t) t :: a)+ sFoo6 ::+ forall a (t :: Maybe (Maybe a)).+ Sing t -> Sing (Apply Foo6Sym0 t :: Maybe (Maybe a))+ sFoo5 ::+ forall a (t :: Maybe (Maybe a)).+ Sing t -> Sing (Apply Foo5Sym0 t :: Maybe (Maybe a))+ sFoo4 ::+ forall a b (t :: (a, b)).+ Sing t -> Sing (Apply Foo4Sym0 t :: (b, a))+ sFoo3 ::+ forall a (t :: Maybe a). Sing t -> Sing (Apply Foo3Sym0 t :: a)+ sFoo2 ::+ forall a (t :: Maybe a). Sing t -> Sing (Apply Foo2Sym0 t :: a)+ sFoo1 ::+ forall a (t :: Maybe a). Sing t -> Sing (Apply Foo1Sym0 t :: a)+ sG :: forall arg. Sing arg -> Sing (Apply GSym0 arg)+ sF3 :: forall arg. Sing arg -> Sing (Apply F3Sym0 arg)+ sF2 :: forall arg. Sing arg -> Sing (Apply F2Sym0 arg)+ sF1 :: forall arg. Sing arg -> Sing (Apply F1Sym0 arg)+ sFoo9 (sX :: Sing x)+ = case sX :: Sing x of {+ (_ :: Sing (x :: a))+ -> let+ sG ::+ forall b (t :: a) (t :: b).+ Sing t+ -> Sing t+ -> Sing (Apply (Apply (Let0123456789876543210GSym1 x) t) t :: a)+ sG (sY :: Sing y) _ = sY+ in+ (applySing+ ((applySing ((singFun2 @(Let0123456789876543210GSym1 x)) sG)) sX))+ STuple0 }+ sFoo8+ (SJust (sWild_0123456789876543210 :: Sing wild_0123456789876543210))+ = case+ ((,) (sWild_0123456789876543210 :: Sing wild_0123456789876543210))+ (SJust+ (sWild_0123456789876543210 :: Sing wild_0123456789876543210))+ of {+ (,) (_ :: Sing (wild_0123456789876543210 :: a))+ (_ :: Sing ( 'Just (wild_0123456789876543210 :: a) :: Maybe a))+ -> let+ sX :: Sing (Let0123456789876543210XSym1 wild_0123456789876543210)+ sX+ = (applySing ((singFun1 @JustSym0) SJust))+ (sWild_0123456789876543210 ::+ Sing (wild_0123456789876543210 :: a)) ::+ Sing (Apply JustSym0 (wild_0123456789876543210 :: a) :: Maybe a)+ in sX }+ sFoo7+ (sX :: Sing x)+ (sWild_0123456789876543210 :: Sing wild_0123456789876543210)+ = case+ ((,) (sX :: Sing x))+ (sWild_0123456789876543210 :: Sing wild_0123456789876543210)+ of {+ (,) (_ :: Sing (x :: a))+ (_ :: Sing (wild_0123456789876543210 :: b))+ -> sX :: Sing (x :: a) }+ sFoo6 (SJust (sX :: Sing x))+ = case SJust (sX :: Sing x) of {+ (_ :: Sing ( 'Just x :: Maybe (Maybe a)))+ -> let+ sScrutinee_0123456789876543210 ::+ Sing (Let0123456789876543210Scrutinee_0123456789876543210Sym1 x)+ sScrutinee_0123456789876543210 = sX :: Sing (x :: Maybe a)+ in (case sScrutinee_0123456789876543210 of {+ SJust (sY :: Sing y)+ -> case ((,) (sY :: Sing y)) (SJust (sY :: Sing y)) of {+ (,) (_ :: Sing (y :: a)) (_ :: Sing ( 'Just (y :: a) :: Maybe a))+ -> (applySing ((singFun1 @JustSym0) SJust))+ ((applySing ((singFun1 @JustSym0) SJust))+ (sY :: Sing (y :: a)) ::+ Sing (Apply JustSym0 (y :: a) :: Maybe a)) } }) ::+ Sing (Case_0123456789876543210 x (Let0123456789876543210Scrutinee_0123456789876543210Sym1 x) :: Maybe (Maybe a)) }+ sFoo5 (SJust (SJust (sX :: Sing x)))+ = case+ (((,,) (sX :: Sing x)) (SJust (sX :: Sing x)))+ (SJust (SJust (sX :: Sing x)))+ of {+ (,,) (_ :: Sing (x :: a))+ (_ :: Sing ( 'Just (x :: a) :: Maybe a))+ (_ :: Sing ( 'Just ( 'Just (x :: a) :: Maybe a) :: Maybe (Maybe a)))+ -> (applySing ((singFun1 @JustSym0) SJust))+ ((applySing ((singFun1 @JustSym0) SJust)) (sX :: Sing (x :: a)) ::+ Sing (Apply JustSym0 (x :: a) :: Maybe a)) ::+ Sing (Apply JustSym0 (Apply JustSym0 (x :: a) :: Maybe a) :: Maybe (Maybe a)) }+ sFoo4 (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((singFun1+ @(Apply Lambda_0123456789876543210Sym0 a_0123456789876543210))+ (\ sArg_0123456789876543210+ -> case sArg_0123456789876543210 of {+ (_ :: Sing arg_0123456789876543210)+ -> (case sArg_0123456789876543210 of {+ STuple2 (sX :: Sing x) (sY :: Sing y)+ -> case ((,) (sX :: Sing x)) (sY :: Sing y) of {+ (,) (_ :: Sing (x :: a)) (_ :: Sing (y :: b))+ -> (applySing+ ((applySing ((singFun2 @Tuple2Sym0) STuple2))+ (sY :: Sing (y :: b))))+ (sX :: Sing (x :: a)) } }) ::+ Sing (Case_0123456789876543210 arg_0123456789876543210 a_0123456789876543210 arg_0123456789876543210) })))+ sA_0123456789876543210+ sFoo3 (SJust (sX :: Sing x)) = sX :: Sing (x :: a)+ sFoo2 (SJust (sX :: Sing x))+ = case SJust (sX :: Sing x) of {+ (_ :: Sing ( 'Just x :: Maybe a)) -> sX :: Sing (x :: a) }+ sFoo1 (SJust (sX :: Sing x))+ = case SJust (sX :: Sing x) of {+ (_ :: Sing ( 'Just x :: Maybe a)) -> sX :: Sing (x :: a) }+ sG (sX :: Sing x)+ = let+ sScrutinee_0123456789876543210 ::+ Sing (Let0123456789876543210Scrutinee_0123456789876543210Sym1 x)+ sScrutinee_0123456789876543210+ = (applySing ((singFun1 @JustSym0) SJust)) sX+ in (case sScrutinee_0123456789876543210 of {+ SJust (sY :: Sing y)+ -> case SJust (sY :: Sing y) of {+ (_ :: Sing ( 'Just y :: Maybe Bool))+ -> sY :: Sing (y :: Bool) } }) ::+ Sing (Case_0123456789876543210 x (Let0123456789876543210Scrutinee_0123456789876543210Sym1 x))+ sF3 (SJust (sA :: Sing a))+ = case SJust (sA :: Sing a) of {+ (_ :: Sing ( 'Just a :: Maybe Bool)) -> sing :: Sing "hi" }+ sF2 (sX :: Sing x)+ = case sX :: Sing x of {+ (_ :: Sing (x :: Maybe a)) -> sX :: Sing (x :: Maybe a) }+ sF1 (sX :: Sing x)+ = case sX :: Sing x of {+ (_ :: Sing (x :: Maybe Bool)) -> sX :: Sing (x :: Maybe Bool) }+ instance SingI (Foo9Sym0 :: (~>) a a) where+ sing = (singFun1 @Foo9Sym0) sFoo9+ instance SingI (Foo8Sym0 :: (~>) (Maybe a) (Maybe a)) where+ sing = (singFun1 @Foo8Sym0) sFoo8+ instance SingI (Foo7Sym0 :: (~>) a ((~>) b a)) where+ sing = (singFun2 @Foo7Sym0) sFoo7+ instance SingI d => SingI (Foo7Sym1 (d :: a) :: (~>) b a) where+ sing = (singFun1 @(Foo7Sym1 (d :: a))) (sFoo7 (sing @d))+ instance SingI (Foo6Sym0 :: (~>) (Maybe (Maybe a)) (Maybe (Maybe a))) where+ sing = (singFun1 @Foo6Sym0) sFoo6+ instance SingI (Foo5Sym0 :: (~>) (Maybe (Maybe a)) (Maybe (Maybe a))) where+ sing = (singFun1 @Foo5Sym0) sFoo5+ instance SingI (Foo4Sym0 :: (~>) (a, b) (b, a)) where+ sing = (singFun1 @Foo4Sym0) sFoo4+ instance SingI (Foo3Sym0 :: (~>) (Maybe a) a) where+ sing = (singFun1 @Foo3Sym0) sFoo3+ instance SingI (Foo2Sym0 :: (~>) (Maybe a) a) where+ sing = (singFun1 @Foo2Sym0) sFoo2+ instance SingI (Foo1Sym0 :: (~>) (Maybe a) a) where+ sing = (singFun1 @Foo1Sym0) sFoo1+ instance SingI GSym0 where+ sing = (singFun1 @GSym0) sG+ instance SingI F3Sym0 where+ sing = (singFun1 @F3Sym0) sF3+ instance SingI F2Sym0 where+ sing = (singFun1 @F2Sym0) sF2+ instance SingI F1Sym0 where+ sing = (singFun1 @F1Sym0) sF1
+ tests/compile-and-dump/Singletons/T183.hs view
@@ -0,0 +1,65 @@+module T183 where++import Data.Singletons.Prelude+import Data.Singletons.TH++$(singletons [d|+ -----+ -- Examples from #183+ -----++ f1 (x :: Maybe Bool) = (x :: Maybe Bool)+ f2 (x :: Maybe a) = (x :: Maybe a)+ f3 (Just a :: Maybe Bool) = "hi"++ g x = case Just x of+ (Just y :: Maybe Bool) -> (y :: Bool)++ -----+ -- Using explicit type signatures+ -----++ -- No explicit forall+ foo1 :: Maybe a -> a+ foo1 (Just x :: Maybe a) = (x :: a)++ -- Explicit forall+ foo2, foo3 :: forall a. Maybe a -> a+ foo2 (Just x :: Maybe a) = (x :: a)+ foo3 (Just x) = (x :: a)++ -----+ -- Multiple pattern signatures+ -----++ foo4 :: (a, b) -> (b, a)+ foo4 = \(x :: a, y :: b) -> (y :: b, x :: a)++ foo5, foo6 :: Maybe (Maybe a) -> Maybe (Maybe a)+ foo5 (Just (Just (x :: a) :: Maybe a) :: Maybe (Maybe a))+ = Just (Just (x :: a) :: Maybe a) :: Maybe (Maybe a)+ foo6 (Just x :: Maybe (Maybe a))+ = case x :: Maybe a of+ (Just (y :: a) :: Maybe a) -> Just (Just (y :: a) :: Maybe a)++ -----+ -- Other pattern features+ -----++ foo7 :: a -> b -> a+ foo7 (x :: a) (_ :: b) = (x :: a)++ foo8 :: forall a. Maybe a -> Maybe a+ foo8 x@(Just (_ :: a) :: Maybe a) = x+ -- foo8 x@(Nothing :: Maybe a) = x -- #296++ -----+ -- Type variable scoping (vis-à-vis #297)+ -----++ foo9 :: a -> a+ foo9 (x :: a)+ = let g :: a -> b -> a+ g y _ = y+ in g x ()+ |])
+ tests/compile-and-dump/Singletons/T184.ghc86.template view
@@ -0,0 +1,499 @@+Singletons/T184.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| boogie :: Maybe a -> Maybe Bool -> Maybe a+ boogie ma mb+ = do a <- ma+ b <- mb+ guard b+ return a+ zip' :: [a] -> [b] -> [(a, b)]+ zip' xs ys = [(x, y) | x <- xs | y <- ys]+ cartProd :: [a] -> [b] -> [(a, b)]+ cartProd xs ys = [(x, y) | x <- xs, y <- ys]+ trues :: [Bool] -> [Bool]+ trues xs = [x | x <- xs, x] |]+ ======>+ boogie :: Maybe a -> Maybe Bool -> Maybe a+ boogie ma mb+ = do a <- ma+ b <- mb+ guard b+ return a+ zip' :: [a] -> [b] -> [(a, b)]+ zip' xs ys = [(x, y) | x <- xs | y <- ys]+ cartProd :: [a] -> [b] -> [(a, b)]+ cartProd xs ys = [(x, y) | x <- xs, y <- ys]+ trues :: [Bool] -> [Bool]+ trues xs = [x | x <- xs, x]+ type family Lambda_0123456789876543210 xs t where+ Lambda_0123456789876543210 xs x = Apply (Apply (>>@#@$) (Apply GuardSym0 x)) (Apply ReturnSym0 x)+ type Lambda_0123456789876543210Sym2 xs0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 xs0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 xs0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 xs0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall xs0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 xs0123456789876543210) arg) (Lambda_0123456789876543210Sym2 xs0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 xs0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 xs0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 xs0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 xs0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall xs0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 xs0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 xs0123456789876543210 = Lambda_0123456789876543210Sym1 xs0123456789876543210+ type family Lambda_0123456789876543210 xs ys x t where+ Lambda_0123456789876543210 xs ys x y = Apply ReturnSym0 (Apply (Apply Tuple2Sym0 x) y)+ type Lambda_0123456789876543210Sym4 xs0123456789876543210 ys0123456789876543210 x0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 xs0123456789876543210 ys0123456789876543210 x0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym3 x0123456789876543210 ys0123456789876543210 xs0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym3KindInference) ())+ data Lambda_0123456789876543210Sym3 xs0123456789876543210 ys0123456789876543210 x0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym3KindInference :: forall xs0123456789876543210+ ys0123456789876543210+ x0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym3 xs0123456789876543210 ys0123456789876543210 x0123456789876543210) arg) (Lambda_0123456789876543210Sym4 xs0123456789876543210 ys0123456789876543210 x0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym3 xs0123456789876543210 ys0123456789876543210 x0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym3 x0123456789876543210 ys0123456789876543210 xs0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 x0123456789876543210 ys0123456789876543210 xs0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 ys0123456789876543210 xs0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 xs0123456789876543210 ys0123456789876543210 x0123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall xs0123456789876543210+ ys0123456789876543210+ x0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 xs0123456789876543210 ys0123456789876543210) arg) (Lambda_0123456789876543210Sym3 xs0123456789876543210 ys0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 xs0123456789876543210 ys0123456789876543210 x0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 ys0123456789876543210 xs0123456789876543210) x0123456789876543210 = Lambda_0123456789876543210Sym3 ys0123456789876543210 xs0123456789876543210 x0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 xs0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 xs0123456789876543210 ys0123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall xs0123456789876543210+ ys0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 xs0123456789876543210) arg) (Lambda_0123456789876543210Sym2 xs0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 xs0123456789876543210 ys0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 xs0123456789876543210) ys0123456789876543210 = Lambda_0123456789876543210Sym2 xs0123456789876543210 ys0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 xs0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall xs0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 xs0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 xs0123456789876543210 = Lambda_0123456789876543210Sym1 xs0123456789876543210+ type family Lambda_0123456789876543210 xs ys t where+ Lambda_0123456789876543210 xs ys x = Apply (Apply (>>=@#@$) ys) (Apply (Apply (Apply Lambda_0123456789876543210Sym0 xs) ys) x)+ type Lambda_0123456789876543210Sym3 xs0123456789876543210 ys0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 xs0123456789876543210 ys0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 ys0123456789876543210 xs0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 xs0123456789876543210 ys0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall xs0123456789876543210+ ys0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 xs0123456789876543210 ys0123456789876543210) arg) (Lambda_0123456789876543210Sym3 xs0123456789876543210 ys0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 xs0123456789876543210 ys0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 ys0123456789876543210 xs0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 ys0123456789876543210 xs0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 xs0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 xs0123456789876543210 ys0123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall xs0123456789876543210+ ys0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 xs0123456789876543210) arg) (Lambda_0123456789876543210Sym2 xs0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 xs0123456789876543210 ys0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 xs0123456789876543210) ys0123456789876543210 = Lambda_0123456789876543210Sym2 xs0123456789876543210 ys0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 xs0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall xs0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 xs0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 xs0123456789876543210 = Lambda_0123456789876543210Sym1 xs0123456789876543210+ type family Lambda_0123456789876543210 xs ys t where+ Lambda_0123456789876543210 xs ys x = Apply ReturnSym0 x+ type Lambda_0123456789876543210Sym3 xs0123456789876543210 ys0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 xs0123456789876543210 ys0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 ys0123456789876543210 xs0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 xs0123456789876543210 ys0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall xs0123456789876543210+ ys0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 xs0123456789876543210 ys0123456789876543210) arg) (Lambda_0123456789876543210Sym3 xs0123456789876543210 ys0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 xs0123456789876543210 ys0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 ys0123456789876543210 xs0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 ys0123456789876543210 xs0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 xs0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 xs0123456789876543210 ys0123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall xs0123456789876543210+ ys0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 xs0123456789876543210) arg) (Lambda_0123456789876543210Sym2 xs0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 xs0123456789876543210 ys0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 xs0123456789876543210) ys0123456789876543210 = Lambda_0123456789876543210Sym2 xs0123456789876543210 ys0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 xs0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall xs0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 xs0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 xs0123456789876543210 = Lambda_0123456789876543210Sym1 xs0123456789876543210+ type family Lambda_0123456789876543210 xs ys t where+ Lambda_0123456789876543210 xs ys y = Apply ReturnSym0 y+ type Lambda_0123456789876543210Sym3 xs0123456789876543210 ys0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 xs0123456789876543210 ys0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 ys0123456789876543210 xs0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 xs0123456789876543210 ys0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall xs0123456789876543210+ ys0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 xs0123456789876543210 ys0123456789876543210) arg) (Lambda_0123456789876543210Sym3 xs0123456789876543210 ys0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 xs0123456789876543210 ys0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 ys0123456789876543210 xs0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 ys0123456789876543210 xs0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 xs0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 xs0123456789876543210 ys0123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall xs0123456789876543210+ ys0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 xs0123456789876543210) arg) (Lambda_0123456789876543210Sym2 xs0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 xs0123456789876543210 ys0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 xs0123456789876543210) ys0123456789876543210 = Lambda_0123456789876543210Sym2 xs0123456789876543210 ys0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 xs0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall xs0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 xs0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 xs0123456789876543210 = Lambda_0123456789876543210Sym1 xs0123456789876543210+ type family Case_0123456789876543210 xs ys arg_0123456789876543210 t where+ Case_0123456789876543210 xs ys arg_0123456789876543210 '(x,+ y) = Apply ReturnSym0 (Apply (Apply Tuple2Sym0 x) y)+ type family Lambda_0123456789876543210 xs ys t where+ Lambda_0123456789876543210 xs ys arg_0123456789876543210 = Case_0123456789876543210 xs ys arg_0123456789876543210 arg_0123456789876543210+ type Lambda_0123456789876543210Sym3 xs0123456789876543210 ys0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 xs0123456789876543210 ys0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 ys0123456789876543210 xs0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 xs0123456789876543210 ys0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall xs0123456789876543210+ ys0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 xs0123456789876543210 ys0123456789876543210) arg) (Lambda_0123456789876543210Sym3 xs0123456789876543210 ys0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 xs0123456789876543210 ys0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 ys0123456789876543210 xs0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 ys0123456789876543210 xs0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 xs0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 xs0123456789876543210 ys0123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall xs0123456789876543210+ ys0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 xs0123456789876543210) arg) (Lambda_0123456789876543210Sym2 xs0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 xs0123456789876543210 ys0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 xs0123456789876543210) ys0123456789876543210 = Lambda_0123456789876543210Sym2 xs0123456789876543210 ys0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 xs0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall xs0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 xs0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 xs0123456789876543210 = Lambda_0123456789876543210Sym1 xs0123456789876543210+ type family Lambda_0123456789876543210 ma mb a t where+ Lambda_0123456789876543210 ma mb a b = Apply (Apply (>>@#@$) (Apply GuardSym0 b)) (Apply ReturnSym0 a)+ type Lambda_0123456789876543210Sym4 ma0123456789876543210 mb0123456789876543210 a0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 ma0123456789876543210 mb0123456789876543210 a0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym3 a0123456789876543210 mb0123456789876543210 ma0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym3KindInference) ())+ data Lambda_0123456789876543210Sym3 ma0123456789876543210 mb0123456789876543210 a0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym3KindInference :: forall ma0123456789876543210+ mb0123456789876543210+ a0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym3 ma0123456789876543210 mb0123456789876543210 a0123456789876543210) arg) (Lambda_0123456789876543210Sym4 ma0123456789876543210 mb0123456789876543210 a0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym3 ma0123456789876543210 mb0123456789876543210 a0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym3 a0123456789876543210 mb0123456789876543210 ma0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 a0123456789876543210 mb0123456789876543210 ma0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 mb0123456789876543210 ma0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 ma0123456789876543210 mb0123456789876543210 a0123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall ma0123456789876543210+ mb0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 ma0123456789876543210 mb0123456789876543210) arg) (Lambda_0123456789876543210Sym3 ma0123456789876543210 mb0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 ma0123456789876543210 mb0123456789876543210 a0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 mb0123456789876543210 ma0123456789876543210) a0123456789876543210 = Lambda_0123456789876543210Sym3 mb0123456789876543210 ma0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 ma0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 ma0123456789876543210 mb0123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall ma0123456789876543210+ mb0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 ma0123456789876543210) arg) (Lambda_0123456789876543210Sym2 ma0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 ma0123456789876543210 mb0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 ma0123456789876543210) mb0123456789876543210 = Lambda_0123456789876543210Sym2 ma0123456789876543210 mb0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 ma0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall ma0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 ma0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 ma0123456789876543210 = Lambda_0123456789876543210Sym1 ma0123456789876543210+ type family Lambda_0123456789876543210 ma mb t where+ Lambda_0123456789876543210 ma mb a = Apply (Apply (>>=@#@$) mb) (Apply (Apply (Apply Lambda_0123456789876543210Sym0 ma) mb) a)+ type Lambda_0123456789876543210Sym3 ma0123456789876543210 mb0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 ma0123456789876543210 mb0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 mb0123456789876543210 ma0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 ma0123456789876543210 mb0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall ma0123456789876543210+ mb0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 ma0123456789876543210 mb0123456789876543210) arg) (Lambda_0123456789876543210Sym3 ma0123456789876543210 mb0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 ma0123456789876543210 mb0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 mb0123456789876543210 ma0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 mb0123456789876543210 ma0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 ma0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 ma0123456789876543210 mb0123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall ma0123456789876543210+ mb0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 ma0123456789876543210) arg) (Lambda_0123456789876543210Sym2 ma0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 ma0123456789876543210 mb0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 ma0123456789876543210) mb0123456789876543210 = Lambda_0123456789876543210Sym2 ma0123456789876543210 mb0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 ma0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall ma0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 ma0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 ma0123456789876543210 = Lambda_0123456789876543210Sym1 ma0123456789876543210+ type TruesSym1 (a0123456789876543210 :: [Bool]) =+ Trues a0123456789876543210+ instance SuppressUnusedWarnings TruesSym0 where+ suppressUnusedWarnings = snd (((,) TruesSym0KindInference) ())+ data TruesSym0 :: (~>) [Bool] [Bool]+ where+ TruesSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply TruesSym0 arg) (TruesSym1 arg) =>+ TruesSym0 a0123456789876543210+ type instance Apply TruesSym0 a0123456789876543210 = Trues a0123456789876543210+ type CartProdSym2 (a0123456789876543210 :: [a0123456789876543210]) (a0123456789876543210 :: [b0123456789876543210]) =+ CartProd a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (CartProdSym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) CartProdSym1KindInference) ())+ data CartProdSym1 (a0123456789876543210 :: [a0123456789876543210]) :: forall b0123456789876543210.+ (~>) [b0123456789876543210] [(a0123456789876543210,+ b0123456789876543210)]+ where+ CartProdSym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (CartProdSym1 a0123456789876543210) arg) (CartProdSym2 a0123456789876543210 arg) =>+ CartProdSym1 a0123456789876543210 a0123456789876543210+ type instance Apply (CartProdSym1 a0123456789876543210) a0123456789876543210 = CartProd a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings CartProdSym0 where+ suppressUnusedWarnings = snd (((,) CartProdSym0KindInference) ())+ data CartProdSym0 :: forall a0123456789876543210+ b0123456789876543210.+ (~>) [a0123456789876543210] ((~>) [b0123456789876543210] [(a0123456789876543210,+ b0123456789876543210)])+ where+ CartProdSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply CartProdSym0 arg) (CartProdSym1 arg) =>+ CartProdSym0 a0123456789876543210+ type instance Apply CartProdSym0 a0123456789876543210 = CartProdSym1 a0123456789876543210+ type Zip'Sym2 (a0123456789876543210 :: [a0123456789876543210]) (a0123456789876543210 :: [b0123456789876543210]) =+ Zip' a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Zip'Sym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) Zip'Sym1KindInference) ())+ data Zip'Sym1 (a0123456789876543210 :: [a0123456789876543210]) :: forall b0123456789876543210.+ (~>) [b0123456789876543210] [(a0123456789876543210,+ b0123456789876543210)]+ where+ Zip'Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Zip'Sym1 a0123456789876543210) arg) (Zip'Sym2 a0123456789876543210 arg) =>+ Zip'Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Zip'Sym1 a0123456789876543210) a0123456789876543210 = Zip' a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Zip'Sym0 where+ suppressUnusedWarnings = snd (((,) Zip'Sym0KindInference) ())+ data Zip'Sym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) [a0123456789876543210] ((~>) [b0123456789876543210] [(a0123456789876543210,+ b0123456789876543210)])+ where+ Zip'Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Zip'Sym0 arg) (Zip'Sym1 arg) =>+ Zip'Sym0 a0123456789876543210+ type instance Apply Zip'Sym0 a0123456789876543210 = Zip'Sym1 a0123456789876543210+ type BoogieSym2 (a0123456789876543210 :: Maybe a0123456789876543210) (a0123456789876543210 :: Maybe Bool) =+ Boogie a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (BoogieSym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) BoogieSym1KindInference) ())+ data BoogieSym1 (a0123456789876543210 :: Maybe a0123456789876543210) :: (~>) (Maybe Bool) (Maybe a0123456789876543210)+ where+ BoogieSym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (BoogieSym1 a0123456789876543210) arg) (BoogieSym2 a0123456789876543210 arg) =>+ BoogieSym1 a0123456789876543210 a0123456789876543210+ type instance Apply (BoogieSym1 a0123456789876543210) a0123456789876543210 = Boogie a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings BoogieSym0 where+ suppressUnusedWarnings = snd (((,) BoogieSym0KindInference) ())+ data BoogieSym0 :: forall a0123456789876543210.+ (~>) (Maybe a0123456789876543210) ((~>) (Maybe Bool) (Maybe a0123456789876543210))+ where+ BoogieSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply BoogieSym0 arg) (BoogieSym1 arg) =>+ BoogieSym0 a0123456789876543210+ type instance Apply BoogieSym0 a0123456789876543210 = BoogieSym1 a0123456789876543210+ type family Trues (a :: [Bool]) :: [Bool] where+ Trues xs = Apply (Apply (>>=@#@$) xs) (Apply Lambda_0123456789876543210Sym0 xs)+ type family CartProd (a :: [a]) (a :: [b]) :: [(a, b)] where+ CartProd xs ys = Apply (Apply (>>=@#@$) xs) (Apply (Apply Lambda_0123456789876543210Sym0 xs) ys)+ type family Zip' (a :: [a]) (a :: [b]) :: [(a, b)] where+ Zip' xs ys = Apply (Apply (>>=@#@$) (Apply (Apply MzipSym0 (Apply (Apply (>>=@#@$) xs) (Apply (Apply Lambda_0123456789876543210Sym0 xs) ys))) (Apply (Apply (>>=@#@$) ys) (Apply (Apply Lambda_0123456789876543210Sym0 xs) ys)))) (Apply (Apply Lambda_0123456789876543210Sym0 xs) ys)+ type family Boogie (a :: Maybe a) (a :: Maybe Bool) :: Maybe a where+ Boogie ma mb = Apply (Apply (>>=@#@$) ma) (Apply (Apply Lambda_0123456789876543210Sym0 ma) mb)+ sTrues ::+ forall (t :: [Bool]). Sing t -> Sing (Apply TruesSym0 t :: [Bool])+ sCartProd ::+ forall a b (t :: [a]) (t :: [b]).+ Sing t+ -> Sing t -> Sing (Apply (Apply CartProdSym0 t) t :: [(a, b)])+ sZip' ::+ forall a b (t :: [a]) (t :: [b]).+ Sing t -> Sing t -> Sing (Apply (Apply Zip'Sym0 t) t :: [(a, b)])+ sBoogie ::+ forall a (t :: Maybe a) (t :: Maybe Bool).+ Sing t -> Sing t -> Sing (Apply (Apply BoogieSym0 t) t :: Maybe a)+ sTrues (sXs :: Sing xs)+ = (applySing ((applySing ((singFun2 @(>>=@#@$)) (%>>=))) sXs))+ ((singFun1 @(Apply Lambda_0123456789876543210Sym0 xs))+ (\ sX+ -> case sX of {+ (_ :: Sing x)+ -> (applySing+ ((applySing ((singFun2 @(>>@#@$)) (%>>)))+ ((applySing ((singFun1 @GuardSym0) sGuard)) sX)))+ ((applySing ((singFun1 @ReturnSym0) sReturn)) sX) }))+ sCartProd (sXs :: Sing xs) (sYs :: Sing ys)+ = (applySing ((applySing ((singFun2 @(>>=@#@$)) (%>>=))) sXs))+ ((singFun1 @(Apply (Apply Lambda_0123456789876543210Sym0 xs) ys))+ (\ sX+ -> case sX of {+ (_ :: Sing x)+ -> (applySing ((applySing ((singFun2 @(>>=@#@$)) (%>>=))) sYs))+ ((singFun1+ @(Apply (Apply (Apply Lambda_0123456789876543210Sym0 xs) ys) x))+ (\ sY+ -> case sY of {+ (_ :: Sing y)+ -> (applySing ((singFun1 @ReturnSym0) sReturn))+ ((applySing+ ((applySing ((singFun2 @Tuple2Sym0) STuple2)) sX))+ sY) })) }))+ sZip' (sXs :: Sing xs) (sYs :: Sing ys)+ = (applySing+ ((applySing ((singFun2 @(>>=@#@$)) (%>>=)))+ ((applySing+ ((applySing ((singFun2 @MzipSym0) sMzip))+ ((applySing ((applySing ((singFun2 @(>>=@#@$)) (%>>=))) sXs))+ ((singFun1 @(Apply (Apply Lambda_0123456789876543210Sym0 xs) ys))+ (\ sX+ -> case sX of {+ (_ :: Sing x)+ -> (applySing ((singFun1 @ReturnSym0) sReturn)) sX })))))+ ((applySing ((applySing ((singFun2 @(>>=@#@$)) (%>>=))) sYs))+ ((singFun1 @(Apply (Apply Lambda_0123456789876543210Sym0 xs) ys))+ (\ sY+ -> case sY of {+ (_ :: Sing y)+ -> (applySing ((singFun1 @ReturnSym0) sReturn)) sY }))))))+ ((singFun1 @(Apply (Apply Lambda_0123456789876543210Sym0 xs) ys))+ (\ sArg_0123456789876543210+ -> case sArg_0123456789876543210 of {+ (_ :: Sing arg_0123456789876543210)+ -> (case sArg_0123456789876543210 of {+ STuple2 (sX :: Sing x) (sY :: Sing y)+ -> (applySing ((singFun1 @ReturnSym0) sReturn))+ ((applySing ((applySing ((singFun2 @Tuple2Sym0) STuple2)) sX))+ sY) }) ::+ Sing (Case_0123456789876543210 xs ys arg_0123456789876543210 arg_0123456789876543210) }))+ sBoogie (sMa :: Sing ma) (sMb :: Sing mb)+ = (applySing ((applySing ((singFun2 @(>>=@#@$)) (%>>=))) sMa))+ ((singFun1 @(Apply (Apply Lambda_0123456789876543210Sym0 ma) mb))+ (\ sA+ -> case sA of {+ (_ :: Sing a)+ -> (applySing ((applySing ((singFun2 @(>>=@#@$)) (%>>=))) sMb))+ ((singFun1+ @(Apply (Apply (Apply Lambda_0123456789876543210Sym0 ma) mb) a))+ (\ sB+ -> case sB of {+ (_ :: Sing b)+ -> (applySing+ ((applySing ((singFun2 @(>>@#@$)) (%>>)))+ ((applySing ((singFun1 @GuardSym0) sGuard)) sB)))+ ((applySing ((singFun1 @ReturnSym0) sReturn))+ sA) })) }))+ instance SingI (TruesSym0 :: (~>) [Bool] [Bool]) where+ sing = (singFun1 @TruesSym0) sTrues+ instance SingI (CartProdSym0 :: (~>) [a] ((~>) [b] [(a, b)])) where+ sing = (singFun2 @CartProdSym0) sCartProd+ instance SingI d =>+ SingI (CartProdSym1 (d :: [a]) :: (~>) [b] [(a, b)]) where+ sing = (singFun1 @(CartProdSym1 (d :: [a]))) (sCartProd (sing @d))+ instance SingI (Zip'Sym0 :: (~>) [a] ((~>) [b] [(a, b)])) where+ sing = (singFun2 @Zip'Sym0) sZip'+ instance SingI d =>+ SingI (Zip'Sym1 (d :: [a]) :: (~>) [b] [(a, b)]) where+ sing = (singFun1 @(Zip'Sym1 (d :: [a]))) (sZip' (sing @d))+ instance SingI (BoogieSym0 :: (~>) (Maybe a) ((~>) (Maybe Bool) (Maybe a))) where+ sing = (singFun2 @BoogieSym0) sBoogie+ instance SingI d =>+ SingI (BoogieSym1 (d :: Maybe a) :: (~>) (Maybe Bool) (Maybe a)) where+ sing = (singFun1 @(BoogieSym1 (d :: Maybe a))) (sBoogie (sing @d))
+ tests/compile-and-dump/Singletons/T184.hs view
@@ -0,0 +1,26 @@+{-# LANGUAGE ParallelListComp #-}+module T184 where++import Control.Monad+import Data.Singletons.Prelude+import Data.Singletons.Prelude.Monad+import Data.Singletons.Prelude.Monad.Zip+import Data.Singletons.TH++$(singletons [d|+ boogie :: Maybe a -> Maybe Bool -> Maybe a+ boogie ma mb = do+ a <- ma+ b <- mb+ guard b+ return a++ zip' :: [a] -> [b] -> [(a, b)]+ zip' xs ys = [(x, y) | x <- xs | y <- ys]++ cartProd :: [a] -> [b] -> [(a, b)]+ cartProd xs ys = [(x, y) | x <- xs, y <- ys]++ trues :: [Bool] -> [Bool]+ trues xs = [x | x <- xs, x]+ |])
− tests/compile-and-dump/Singletons/T187.ghc84.template
@@ -1,58 +0,0 @@-Singletons/T187.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| data Empty- - deriving instance Ord Empty- deriving instance Eq Empty |]- ======>- data Empty- deriving instance Eq Empty- deriving instance Ord Empty- type family Compare_0123456789876543210 (a :: Empty) (a :: Empty) :: Ordering where- Compare_0123456789876543210 _ _ = EQSym0- type Compare_0123456789876543210Sym2 (t :: Empty) (t :: Empty) =- Compare_0123456789876543210 t t- instance SuppressUnusedWarnings Compare_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Compare_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Compare_0123456789876543210Sym1 (l :: Empty) (l :: TyFun Empty Ordering)- = forall arg. SameKind (Apply (Compare_0123456789876543210Sym1 l) arg) (Compare_0123456789876543210Sym2 l arg) =>- Compare_0123456789876543210Sym1KindInference- type instance Apply (Compare_0123456789876543210Sym1 l) l = Compare_0123456789876543210 l l- instance SuppressUnusedWarnings Compare_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Compare_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Compare_0123456789876543210Sym0 (l :: TyFun Empty (TyFun Empty Ordering- -> GHC.Types.Type))- = forall arg. SameKind (Apply Compare_0123456789876543210Sym0 arg) (Compare_0123456789876543210Sym1 arg) =>- Compare_0123456789876543210Sym0KindInference- type instance Apply Compare_0123456789876543210Sym0 l = Compare_0123456789876543210Sym1 l- instance POrd Empty where- type Compare a a = Apply (Apply Compare_0123456789876543210Sym0 a) a- type family Equals_0123456789876543210 (a :: Empty) (b :: Empty) :: Bool where- Equals_0123456789876543210 (_ :: Empty) (_ :: Empty) = TrueSym0- instance PEq Empty where- type (==) a b = Equals_0123456789876543210 a b- data instance Sing (z :: Empty)- type SEmpty = (Sing :: Empty -> GHC.Types.Type)- instance SingKind Empty where- type Demote Empty = Empty- fromSing x = case x of- toSing x = SomeSing (case x of)- instance SOrd Empty where- sCompare ::- forall (t1 :: Empty) (t2 :: Empty).- Sing t1- -> Sing t2- -> Sing (Apply (Apply (CompareSym0 :: TyFun Empty (TyFun Empty Ordering- -> GHC.Types.Type)- -> GHC.Types.Type) t1) t2)- sCompare _ _ = SEQ- instance SEq Empty where- (%==) _ _ = STrue- instance SDecide Empty where- (%~) x _ = Proved (case x of)
+ tests/compile-and-dump/Singletons/T187.ghc86.template view
@@ -0,0 +1,57 @@+Singletons/T187.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| data Empty+ + deriving instance Ord Empty+ deriving instance Eq Empty |]+ ======>+ data Empty+ deriving instance Eq Empty+ deriving instance Ord Empty+ type family Compare_0123456789876543210 (a :: Empty) (a :: Empty) :: Ordering where+ Compare_0123456789876543210 _ _ = EQSym0+ type Compare_0123456789876543210Sym2 (a0123456789876543210 :: Empty) (a0123456789876543210 :: Empty) =+ Compare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Compare_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Compare_0123456789876543210Sym1KindInference) ())+ data Compare_0123456789876543210Sym1 (a0123456789876543210 :: Empty) :: (~>) Empty Ordering+ where+ Compare_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Compare_0123456789876543210Sym1 a0123456789876543210) arg) (Compare_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Compare_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Compare_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = Compare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Compare_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Compare_0123456789876543210Sym0KindInference) ())+ data Compare_0123456789876543210Sym0 :: (~>) Empty ((~>) Empty Ordering)+ where+ Compare_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Compare_0123456789876543210Sym0 arg) (Compare_0123456789876543210Sym1 arg) =>+ Compare_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Compare_0123456789876543210Sym0 a0123456789876543210 = Compare_0123456789876543210Sym1 a0123456789876543210+ instance POrd Empty where+ type Compare a a = Apply (Apply Compare_0123456789876543210Sym0 a) a+ type family Equals_0123456789876543210 (a :: Empty) (b :: Empty) :: Bool where+ Equals_0123456789876543210 (_ :: Empty) (_ :: Empty) = TrueSym0+ instance PEq Empty where+ type (==) a b = Equals_0123456789876543210 a b+ data instance Sing :: Empty -> GHC.Types.Type+ type SEmpty = (Sing :: Empty -> GHC.Types.Type)+ instance SingKind Empty where+ type Demote Empty = Empty+ fromSing x = case x of+ toSing x = SomeSing (case x of)+ instance SOrd Empty where+ sCompare ::+ forall (t1 :: Empty) (t2 :: Empty).+ Sing t1+ -> Sing t2+ -> Sing (Apply (Apply (CompareSym0 :: TyFun Empty ((~>) Empty Ordering)+ -> GHC.Types.Type) t1) t2)+ sCompare _ _ = SEQ+ instance SEq Empty where+ (%==) _ _ = STrue+ instance SDecide Empty where+ (%~) x _ = Proved (case x of)
− tests/compile-and-dump/Singletons/T190.ghc84.template
@@ -1,194 +0,0 @@-Singletons/T190.hs:0:0:: Splicing declarations- singletons- [d| data T- = T- deriving (Eq, Ord, Enum, Bounded, Show) |]- ======>- data T- = T- deriving (Eq, Ord, Enum, Bounded, Show)- type TSym0 = T- type family Compare_0123456789876543210 (a :: T) (a :: T) :: Ordering where- Compare_0123456789876543210 T T = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) '[]- type Compare_0123456789876543210Sym2 (t :: T) (t :: T) =- Compare_0123456789876543210 t t- instance SuppressUnusedWarnings Compare_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Compare_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Compare_0123456789876543210Sym1 (l :: T) (l :: TyFun T Ordering)- = forall arg. SameKind (Apply (Compare_0123456789876543210Sym1 l) arg) (Compare_0123456789876543210Sym2 l arg) =>- Compare_0123456789876543210Sym1KindInference- type instance Apply (Compare_0123456789876543210Sym1 l) l = Compare_0123456789876543210 l l- instance SuppressUnusedWarnings Compare_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Compare_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Compare_0123456789876543210Sym0 (l :: TyFun T (TyFun T Ordering- -> GHC.Types.Type))- = forall arg. SameKind (Apply Compare_0123456789876543210Sym0 arg) (Compare_0123456789876543210Sym1 arg) =>- Compare_0123456789876543210Sym0KindInference- type instance Apply Compare_0123456789876543210Sym0 l = Compare_0123456789876543210Sym1 l- instance POrd T where- type Compare a a = Apply (Apply Compare_0123456789876543210Sym0 a) a- type family Case_0123456789876543210 n t where- Case_0123456789876543210 n True = TSym0- Case_0123456789876543210 n False = Apply ErrorSym0 "toEnum: bad argument"- type family ToEnum_0123456789876543210 (a :: GHC.Types.Nat) :: T where- ToEnum_0123456789876543210 n = Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (Data.Singletons.Prelude.Num.FromInteger 0))- type ToEnum_0123456789876543210Sym1 (t :: GHC.Types.Nat) =- ToEnum_0123456789876543210 t- instance SuppressUnusedWarnings ToEnum_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ToEnum_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data ToEnum_0123456789876543210Sym0 (l :: TyFun GHC.Types.Nat T)- = forall arg. SameKind (Apply ToEnum_0123456789876543210Sym0 arg) (ToEnum_0123456789876543210Sym1 arg) =>- ToEnum_0123456789876543210Sym0KindInference- type instance Apply ToEnum_0123456789876543210Sym0 l = ToEnum_0123456789876543210 l- type family FromEnum_0123456789876543210 (a :: T) :: GHC.Types.Nat where- FromEnum_0123456789876543210 T = Data.Singletons.Prelude.Num.FromInteger 0- type FromEnum_0123456789876543210Sym1 (t :: T) =- FromEnum_0123456789876543210 t- instance SuppressUnusedWarnings FromEnum_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) FromEnum_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data FromEnum_0123456789876543210Sym0 (l :: TyFun T GHC.Types.Nat)- = forall arg. SameKind (Apply FromEnum_0123456789876543210Sym0 arg) (FromEnum_0123456789876543210Sym1 arg) =>- FromEnum_0123456789876543210Sym0KindInference- type instance Apply FromEnum_0123456789876543210Sym0 l = FromEnum_0123456789876543210 l- instance PEnum T where- type ToEnum a = Apply ToEnum_0123456789876543210Sym0 a- type FromEnum a = Apply FromEnum_0123456789876543210Sym0 a- type family MinBound_0123456789876543210 :: T where- MinBound_0123456789876543210 = TSym0- type MinBound_0123456789876543210Sym0 =- MinBound_0123456789876543210- type family MaxBound_0123456789876543210 :: T where- MaxBound_0123456789876543210 = TSym0- type MaxBound_0123456789876543210Sym0 =- MaxBound_0123456789876543210- instance PBounded T where- type MinBound = MinBound_0123456789876543210Sym0- type MaxBound = MaxBound_0123456789876543210Sym0- type family ShowsPrec_0123456789876543210 (a :: GHC.Types.Nat) (a :: T) (a :: GHC.Types.Symbol) :: GHC.Types.Symbol where- ShowsPrec_0123456789876543210 _ T a_0123456789876543210 = Apply (Apply ShowStringSym0 "T") a_0123456789876543210- type ShowsPrec_0123456789876543210Sym3 (t :: GHC.Types.Nat) (t :: T) (t :: GHC.Types.Symbol) =- ShowsPrec_0123456789876543210 t t t- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym2 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym2KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym2 (l :: GHC.Types.Nat) (l :: T) (l :: TyFun GHC.Types.Symbol GHC.Types.Symbol)- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 l l) arg) (ShowsPrec_0123456789876543210Sym3 l l arg) =>- ShowsPrec_0123456789876543210Sym2KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym2 l l) l = ShowsPrec_0123456789876543210 l l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym1 (l :: GHC.Types.Nat) (l :: TyFun T (TyFun GHC.Types.Symbol GHC.Types.Symbol- -> GHC.Types.Type))- = forall arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 l) arg) (ShowsPrec_0123456789876543210Sym2 l arg) =>- ShowsPrec_0123456789876543210Sym1KindInference- type instance Apply (ShowsPrec_0123456789876543210Sym1 l) l = ShowsPrec_0123456789876543210Sym2 l l- instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) ShowsPrec_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data ShowsPrec_0123456789876543210Sym0 (l :: TyFun GHC.Types.Nat (TyFun T (TyFun GHC.Types.Symbol GHC.Types.Symbol- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>- ShowsPrec_0123456789876543210Sym0KindInference- type instance Apply ShowsPrec_0123456789876543210Sym0 l = ShowsPrec_0123456789876543210Sym1 l- instance PShow T where- type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a- type family Equals_0123456789876543210 (a :: T) (b :: T) :: Bool where- Equals_0123456789876543210 T T = TrueSym0- Equals_0123456789876543210 (_ :: T) (_ :: T) = FalseSym0- instance PEq T where- type (==) a b = Equals_0123456789876543210 a b- data instance Sing (z :: T) where ST :: Sing T- type ST = (Sing :: T -> GHC.Types.Type)- instance SingKind T where- type Demote T = T- fromSing ST = T- toSing T = SomeSing ST- instance SOrd T where- sCompare ::- forall (t1 :: T) (t2 :: T).- Sing t1- -> Sing t2- -> Sing (Apply (Apply (CompareSym0 :: TyFun T (TyFun T Ordering- -> GHC.Types.Type)- -> GHC.Types.Type) t1) t2)- sCompare ST ST- = (applySing- ((applySing- ((applySing ((singFun3 @FoldlSym0) sFoldl))- ((singFun2 @ThenCmpSym0) sThenCmp)))- SEQ))- Data.Singletons.Prelude.Instances.SNil- instance SEnum T where- sToEnum ::- forall (t :: GHC.Types.Nat).- Sing t- -> Sing (Apply (Data.Singletons.Prelude.Enum.ToEnumSym0 :: TyFun GHC.Types.Nat T- -> GHC.Types.Type) t)- sFromEnum ::- forall (t :: T).- Sing t- -> Sing (Apply (Data.Singletons.Prelude.Enum.FromEnumSym0 :: TyFun T GHC.Types.Nat- -> GHC.Types.Type) t)- sToEnum (sN :: Sing n)- = case- (applySing ((applySing ((singFun2 @(==@#@$)) (%==))) sN))- (Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 0))- of- STrue -> ST- SFalse -> sError (sing :: Sing "toEnum: bad argument") ::- Sing (Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (Data.Singletons.Prelude.Num.FromInteger 0)))- sFromEnum ST- = Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 0)- instance SBounded T where- sMinBound :: Sing (MinBoundSym0 :: T)- sMaxBound :: Sing (MaxBoundSym0 :: T)- sMinBound = ST- sMaxBound = ST- instance SShow T where- sShowsPrec ::- forall (t1 :: GHC.Types.Nat) (t2 :: T) (t3 :: GHC.Types.Symbol).- Sing t1- -> Sing t2- -> Sing t3- -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun GHC.Types.Nat (TyFun T (TyFun GHC.Types.Symbol GHC.Types.Symbol- -> GHC.Types.Type)- -> GHC.Types.Type)- -> GHC.Types.Type) t1) t2) t3)- sShowsPrec- _- ST- (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- ((applySing ((singFun2 @ShowStringSym0) sShowString))- (sing :: Sing "T")))- sA_0123456789876543210- instance SEq T where- (%==) ST ST = STrue- instance SDecide T where- (%~) ST ST = Proved Refl- instance Data.Singletons.ShowSing.ShowSing T where- Data.Singletons.ShowSing.showsSingPrec _ ST = showString "ST"- instance Show (Sing (z :: T)) where- showsPrec = Data.Singletons.ShowSing.showsSingPrec- instance SingI T where- sing = ST
+ tests/compile-and-dump/Singletons/T190.ghc86.template view
@@ -0,0 +1,188 @@+Singletons/T190.hs:0:0:: Splicing declarations+ singletons+ [d| data T+ = T+ deriving (Eq, Ord, Enum, Bounded, Show) |]+ ======>+ data T+ = T+ deriving (Eq, Ord, Enum, Bounded, Show)+ type TSym0 = T+ type family Compare_0123456789876543210 (a :: T) (a :: T) :: Ordering where+ Compare_0123456789876543210 T T = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) '[]+ type Compare_0123456789876543210Sym2 (a0123456789876543210 :: T) (a0123456789876543210 :: T) =+ Compare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Compare_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Compare_0123456789876543210Sym1KindInference) ())+ data Compare_0123456789876543210Sym1 (a0123456789876543210 :: T) :: (~>) T Ordering+ where+ Compare_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Compare_0123456789876543210Sym1 a0123456789876543210) arg) (Compare_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Compare_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Compare_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = Compare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Compare_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Compare_0123456789876543210Sym0KindInference) ())+ data Compare_0123456789876543210Sym0 :: (~>) T ((~>) T Ordering)+ where+ Compare_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Compare_0123456789876543210Sym0 arg) (Compare_0123456789876543210Sym1 arg) =>+ Compare_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Compare_0123456789876543210Sym0 a0123456789876543210 = Compare_0123456789876543210Sym1 a0123456789876543210+ instance POrd T where+ type Compare a a = Apply (Apply Compare_0123456789876543210Sym0 a) a+ type family Case_0123456789876543210 n t where+ Case_0123456789876543210 n 'True = TSym0+ Case_0123456789876543210 n 'False = Apply ErrorSym0 "toEnum: bad argument"+ type family ToEnum_0123456789876543210 (a :: GHC.Types.Nat) :: T where+ ToEnum_0123456789876543210 n = Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (Data.Singletons.Prelude.Num.FromInteger 0))+ type ToEnum_0123456789876543210Sym1 (a0123456789876543210 :: GHC.Types.Nat) =+ ToEnum_0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ToEnum_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) ToEnum_0123456789876543210Sym0KindInference) ())+ data ToEnum_0123456789876543210Sym0 :: (~>) GHC.Types.Nat T+ where+ ToEnum_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply ToEnum_0123456789876543210Sym0 arg) (ToEnum_0123456789876543210Sym1 arg) =>+ ToEnum_0123456789876543210Sym0 a0123456789876543210+ type instance Apply ToEnum_0123456789876543210Sym0 a0123456789876543210 = ToEnum_0123456789876543210 a0123456789876543210+ type family FromEnum_0123456789876543210 (a :: T) :: GHC.Types.Nat where+ FromEnum_0123456789876543210 T = Data.Singletons.Prelude.Num.FromInteger 0+ type FromEnum_0123456789876543210Sym1 (a0123456789876543210 :: T) =+ FromEnum_0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings FromEnum_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) FromEnum_0123456789876543210Sym0KindInference) ())+ data FromEnum_0123456789876543210Sym0 :: (~>) T GHC.Types.Nat+ where+ FromEnum_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply FromEnum_0123456789876543210Sym0 arg) (FromEnum_0123456789876543210Sym1 arg) =>+ FromEnum_0123456789876543210Sym0 a0123456789876543210+ type instance Apply FromEnum_0123456789876543210Sym0 a0123456789876543210 = FromEnum_0123456789876543210 a0123456789876543210+ instance PEnum T where+ type ToEnum a = Apply ToEnum_0123456789876543210Sym0 a+ type FromEnum a = Apply FromEnum_0123456789876543210Sym0 a+ type family MinBound_0123456789876543210 :: T where+ MinBound_0123456789876543210 = TSym0+ type MinBound_0123456789876543210Sym0 =+ MinBound_0123456789876543210+ type family MaxBound_0123456789876543210 :: T where+ MaxBound_0123456789876543210 = TSym0+ type MaxBound_0123456789876543210Sym0 =+ MaxBound_0123456789876543210+ instance PBounded T where+ type MinBound = MinBound_0123456789876543210Sym0+ type MaxBound = MaxBound_0123456789876543210Sym0+ type family ShowsPrec_0123456789876543210 (a :: GHC.Types.Nat) (a :: T) (a :: GHC.Types.Symbol) :: GHC.Types.Symbol where+ ShowsPrec_0123456789876543210 _ T a_0123456789876543210 = Apply (Apply ShowStringSym0 "T") a_0123456789876543210+ type ShowsPrec_0123456789876543210Sym3 (a0123456789876543210 :: GHC.Types.Nat) (a0123456789876543210 :: T) (a0123456789876543210 :: GHC.Types.Symbol) =+ ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym2KindInference) ())+ data ShowsPrec_0123456789876543210Sym2 (a0123456789876543210 :: GHC.Types.Nat) (a0123456789876543210 :: T) :: (~>) GHC.Types.Symbol GHC.Types.Symbol+ where+ ShowsPrec_0123456789876543210Sym2KindInference :: forall a0123456789876543210+ a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym3 a0123456789876543210 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210 a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym1KindInference) ())+ data ShowsPrec_0123456789876543210Sym1 (a0123456789876543210 :: GHC.Types.Nat) :: (~>) T ((~>) GHC.Types.Symbol GHC.Types.Symbol)+ where+ ShowsPrec_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) arg) (ShowsPrec_0123456789876543210Sym2 a0123456789876543210 arg) =>+ ShowsPrec_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (ShowsPrec_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = ShowsPrec_0123456789876543210Sym2 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ShowsPrec_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) ShowsPrec_0123456789876543210Sym0KindInference) ())+ data ShowsPrec_0123456789876543210Sym0 :: (~>) GHC.Types.Nat ((~>) T ((~>) GHC.Types.Symbol GHC.Types.Symbol))+ where+ ShowsPrec_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply ShowsPrec_0123456789876543210Sym0 arg) (ShowsPrec_0123456789876543210Sym1 arg) =>+ ShowsPrec_0123456789876543210Sym0 a0123456789876543210+ type instance Apply ShowsPrec_0123456789876543210Sym0 a0123456789876543210 = ShowsPrec_0123456789876543210Sym1 a0123456789876543210+ instance PShow T where+ type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_0123456789876543210Sym0 a) a) a+ type family Equals_0123456789876543210 (a :: T) (b :: T) :: Bool where+ Equals_0123456789876543210 T T = TrueSym0+ Equals_0123456789876543210 (_ :: T) (_ :: T) = FalseSym0+ instance PEq T where+ type (==) a b = Equals_0123456789876543210 a b+ data instance Sing :: T -> GHC.Types.Type where ST :: Sing T+ type ST = (Sing :: T -> GHC.Types.Type)+ instance SingKind T where+ type Demote T = T+ fromSing ST = T+ toSing T = SomeSing ST+ instance SOrd T where+ sCompare ::+ forall (t1 :: T) (t2 :: T).+ Sing t1+ -> Sing t2+ -> Sing (Apply (Apply (CompareSym0 :: TyFun T ((~>) T Ordering)+ -> GHC.Types.Type) t1) t2)+ sCompare ST ST+ = (applySing+ ((applySing+ ((applySing ((singFun3 @FoldlSym0) sFoldl))+ ((singFun2 @ThenCmpSym0) sThenCmp)))+ SEQ))+ Data.Singletons.Prelude.Instances.SNil+ instance SEnum T where+ sToEnum ::+ forall (t :: GHC.Types.Nat).+ Sing t+ -> Sing (Apply (Data.Singletons.Prelude.Enum.ToEnumSym0 :: TyFun GHC.Types.Nat T+ -> GHC.Types.Type) t)+ sFromEnum ::+ forall (t :: T).+ Sing t+ -> Sing (Apply (Data.Singletons.Prelude.Enum.FromEnumSym0 :: TyFun T GHC.Types.Nat+ -> GHC.Types.Type) t)+ sToEnum (sN :: Sing n)+ = (case+ (applySing ((applySing ((singFun2 @(==@#@$)) (%==))) sN))+ (Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 0))+ of+ STrue -> ST+ SFalse -> sError (sing :: Sing "toEnum: bad argument")) ::+ Sing (Case_0123456789876543210 n (Apply (Apply (==@#@$) n) (Data.Singletons.Prelude.Num.FromInteger 0)))+ sFromEnum ST+ = Data.Singletons.Prelude.Num.sFromInteger (sing :: Sing 0)+ instance SBounded T where+ sMinBound :: Sing (MinBoundSym0 :: T)+ sMaxBound :: Sing (MaxBoundSym0 :: T)+ sMinBound = ST+ sMaxBound = ST+ instance SShow T where+ sShowsPrec ::+ forall (t1 :: GHC.Types.Nat) (t2 :: T) (t3 :: GHC.Types.Symbol).+ Sing t1+ -> Sing t2+ -> Sing t3+ -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun GHC.Types.Nat ((~>) T ((~>) GHC.Types.Symbol GHC.Types.Symbol))+ -> GHC.Types.Type) t1) t2) t3)+ sShowsPrec+ _+ ST+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @ShowStringSym0) sShowString))+ (sing :: Sing "T")))+ sA_0123456789876543210+ instance SEq T where+ (%==) ST ST = STrue+ instance SDecide T where+ (%~) ST ST = Proved Refl+ deriving instance Show (Sing (z :: T))+ instance SingI T where+ sing = ST
tests/compile-and-dump/Singletons/T190.hs view
@@ -4,7 +4,6 @@ {-# LANGUAGE ScopedTypeVariables #-} {-# LANGUAGE TemplateHaskell #-} {-# LANGUAGE TypeFamilies #-}-{-# LANGUAGE TypeInType #-} {-# LANGUAGE UndecidableInstances #-} module T190 where
− tests/compile-and-dump/Singletons/T197.ghc84.template
@@ -1,33 +0,0 @@-Singletons/T197.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| infixl 5 $$:- - ($$:) :: Bool -> Bool -> Bool- _ $$: _ = False |]- ======>- infixl 5 $$:- ($$:) :: Bool -> Bool -> Bool- ($$:) _ _ = False- type ($$:@#@$$$) (t :: Bool) (t :: Bool) = ($$:) t t- instance SuppressUnusedWarnings ($$:@#@$$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (:$$:@#@$$###)) GHC.Tuple.())- data ($$:@#@$$) (l :: Bool) (l :: TyFun Bool Bool)- = forall arg. SameKind (Apply (($$:@#@$$) l) arg) (($$:@#@$$$) l arg) =>- (:$$:@#@$$###)- type instance Apply (($$:@#@$$) l) l = ($$:) l l- instance SuppressUnusedWarnings ($$:@#@$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (:$$:@#@$###)) GHC.Tuple.())- data ($$:@#@$) (l :: TyFun Bool (TyFun Bool Bool- -> GHC.Types.Type))- = forall arg. SameKind (Apply ($$:@#@$) arg) (($$:@#@$$) arg) =>- (:$$:@#@$###)- type instance Apply ($$:@#@$) l = ($$:@#@$$) l- type family ($$:) (a :: Bool) (a :: Bool) :: Bool where- ($$:) _ _ = FalseSym0- infixl 5 %$$:- (%$$:) ::- forall (t :: Bool) (t :: Bool).- Sing t -> Sing t -> Sing (Apply (Apply ($$:@#@$) t) t :: Bool)- (%$$:) _ _ = SFalse
+ tests/compile-and-dump/Singletons/T197.ghc86.template view
@@ -0,0 +1,43 @@+Singletons/T197.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| infixl 5 $$:+ + ($$:) :: Bool -> Bool -> Bool+ _ $$: _ = False |]+ ======>+ infixl 5 $$:+ ($$:) :: Bool -> Bool -> Bool+ ($$:) _ _ = False+ type ($$:@#@$$$) (a0123456789876543210 :: Bool) (a0123456789876543210 :: Bool) =+ ($$:) a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (($$:@#@$$) a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) (:$$:@#@$$###)) ())+ data ($$:@#@$$) (a0123456789876543210 :: Bool) :: (~>) Bool Bool+ where+ (:$$:@#@$$###) :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (($$:@#@$$) a0123456789876543210) arg) (($$:@#@$$$) a0123456789876543210 arg) =>+ ($$:@#@$$) a0123456789876543210 a0123456789876543210+ type instance Apply (($$:@#@$$) a0123456789876543210) a0123456789876543210 = ($$:) a0123456789876543210 a0123456789876543210+ infixl 5 $$:@#@$$+ instance SuppressUnusedWarnings ($$:@#@$) where+ suppressUnusedWarnings = snd (((,) (:$$:@#@$###)) ())+ data ($$:@#@$) :: (~>) Bool ((~>) Bool Bool)+ where+ (:$$:@#@$###) :: forall a0123456789876543210+ arg. SameKind (Apply ($$:@#@$) arg) (($$:@#@$$) arg) =>+ ($$:@#@$) a0123456789876543210+ type instance Apply ($$:@#@$) a0123456789876543210 = ($$:@#@$$) a0123456789876543210+ infixl 5 $$:@#@$+ type family ($$:) (a :: Bool) (a :: Bool) :: Bool where+ ($$:) _ _ = FalseSym0+ infixl 5 %$$:+ (%$$:) ::+ forall (t :: Bool) (t :: Bool).+ Sing t -> Sing t -> Sing (Apply (Apply ($$:@#@$) t) t :: Bool)+ (%$$:) _ _ = SFalse+ instance SingI (($$:@#@$) :: (~>) Bool ((~>) Bool Bool)) where+ sing = (singFun2 @($$:@#@$)) (%$$:)+ instance SingI d =>+ SingI (($$:@#@$$) (d :: Bool) :: (~>) Bool Bool) where+ sing = (singFun1 @(($$:@#@$$) (d :: Bool))) ((%$$:) (sing @d))
− tests/compile-and-dump/Singletons/T197b.ghc84.template
@@ -1,81 +0,0 @@-Singletons/T197b.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| infixr 9 `Pair`, `MkPair`- - data a :*: b = a :*: b- data Pair a b = MkPair a b |]- ======>- data (:*:) a b = a :*: b- data Pair a b = MkPair a b- infixr 9 `Pair`- infixr 9 `MkPair`- type (:*:@#@$$$) (t :: a0123456789876543210) (t :: b0123456789876543210) =- (:*:) t t- instance SuppressUnusedWarnings (:*:@#@$$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (::*:@#@$$###)) GHC.Tuple.())- data (:*:@#@$$) (l :: a0123456789876543210) (l :: TyFun b0123456789876543210 ((:*:) a0123456789876543210 b0123456789876543210))- = forall arg. SameKind (Apply ((:*:@#@$$) l) arg) ((:*:@#@$$$) l arg) =>- (::*:@#@$$###)- type instance Apply ((:*:@#@$$) l) l = (:*:) l l- instance SuppressUnusedWarnings (:*:@#@$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (::*:@#@$###)) GHC.Tuple.())- data (:*:@#@$) (l :: TyFun a0123456789876543210 (TyFun b0123456789876543210 ((:*:) a0123456789876543210 b0123456789876543210)- -> GHC.Types.Type))- = forall arg. SameKind (Apply (:*:@#@$) arg) ((:*:@#@$$) arg) =>- (::*:@#@$###)- type instance Apply (:*:@#@$) l = (:*:@#@$$) l- type MkPairSym2 (t :: a0123456789876543210) (t :: b0123456789876543210) =- MkPair t t- instance SuppressUnusedWarnings MkPairSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) MkPairSym1KindInference) GHC.Tuple.())- data MkPairSym1 (l :: a0123456789876543210) (l :: TyFun b0123456789876543210 (Pair a0123456789876543210 b0123456789876543210))- = forall arg. SameKind (Apply (MkPairSym1 l) arg) (MkPairSym2 l arg) =>- MkPairSym1KindInference- type instance Apply (MkPairSym1 l) l = MkPair l l- instance SuppressUnusedWarnings MkPairSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) MkPairSym0KindInference) GHC.Tuple.())- data MkPairSym0 (l :: TyFun a0123456789876543210 (TyFun b0123456789876543210 (Pair a0123456789876543210 b0123456789876543210)- -> GHC.Types.Type))- = forall arg. SameKind (Apply MkPairSym0 arg) (MkPairSym1 arg) =>- MkPairSym0KindInference- type instance Apply MkPairSym0 l = MkPairSym1 l- infixr 9 `SMkPair`- infixr 9 `SPair`- data instance Sing (z :: (:*:) a b)- where- (:%*:) :: forall (n :: a) (n :: b).- (Sing (n :: a)) -> (Sing (n :: b)) -> Sing ((:*:) n n)- type %:*: = (Sing :: (:*:) a b -> GHC.Types.Type)- instance (SingKind a, SingKind b) => SingKind ((:*:) a b) where- type Demote ((:*:) a b) = (:*:) (Demote a) (Demote b)- fromSing ((:%*:) b b) = ((:*:) (fromSing b)) (fromSing b)- toSing ((:*:) (b :: Demote a) (b :: Demote b))- = case- (GHC.Tuple.(,) (toSing b :: SomeSing a)) (toSing b :: SomeSing b)- of {- GHC.Tuple.(,) (SomeSing c) (SomeSing c)- -> SomeSing (((:%*:) c) c) }- data instance Sing (z :: Pair a b)- where- SMkPair :: forall (n :: a) (n :: b).- (Sing (n :: a)) -> (Sing (n :: b)) -> Sing (MkPair n n)- type SPair = (Sing :: Pair a b -> GHC.Types.Type)- instance (SingKind a, SingKind b) => SingKind (Pair a b) where- type Demote (Pair a b) = Pair (Demote a) (Demote b)- fromSing (SMkPair b b) = (MkPair (fromSing b)) (fromSing b)- toSing (MkPair (b :: Demote a) (b :: Demote b))- = case- (GHC.Tuple.(,) (toSing b :: SomeSing a)) (toSing b :: SomeSing b)- of {- GHC.Tuple.(,) (SomeSing c) (SomeSing c)- -> SomeSing ((SMkPair c) c) }- instance (SingI n, SingI n) =>- SingI ((:*:) (n :: a) (n :: b)) where- sing = ((:%*:) sing) sing- instance (SingI n, SingI n) =>- SingI (MkPair (n :: a) (n :: b)) where- sing = (SMkPair sing) sing
+ tests/compile-and-dump/Singletons/T197b.ghc86.template view
@@ -0,0 +1,106 @@+Singletons/T197b.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| infixr 9 `Pair`, `MkPair`+ + data a :*: b = a :*: b+ data Pair a b = MkPair a b |]+ ======>+ data (:*:) a b = a :*: b+ data Pair a b = MkPair a b+ infixr 9 `Pair`+ infixr 9 `MkPair`+ type (:*:@#@$$$) (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: b0123456789876543210) =+ (:*:) t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings ((:*:@#@$$) t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) (::*:@#@$$###)) ())+ data (:*:@#@$$) (t0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210.+ (~>) b0123456789876543210 ((:*:) a0123456789876543210 b0123456789876543210)+ where+ (::*:@#@$$###) :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply ((:*:@#@$$) t0123456789876543210) arg) ((:*:@#@$$$) t0123456789876543210 arg) =>+ (:*:@#@$$) t0123456789876543210 t0123456789876543210+ type instance Apply ((:*:@#@$$) t0123456789876543210) t0123456789876543210 = (:*:) t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (:*:@#@$) where+ suppressUnusedWarnings = snd (((,) (::*:@#@$###)) ())+ data (:*:@#@$) :: forall a0123456789876543210 b0123456789876543210.+ (~>) a0123456789876543210 ((~>) b0123456789876543210 ((:*:) a0123456789876543210 b0123456789876543210))+ where+ (::*:@#@$###) :: forall t0123456789876543210+ arg. SameKind (Apply (:*:@#@$) arg) ((:*:@#@$$) arg) =>+ (:*:@#@$) t0123456789876543210+ type instance Apply (:*:@#@$) t0123456789876543210 = (:*:@#@$$) t0123456789876543210+ type MkPairSym2 (t0123456789876543210 :: a0123456789876543210) (t0123456789876543210 :: b0123456789876543210) =+ MkPair t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (MkPairSym1 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) MkPairSym1KindInference) ())+ data MkPairSym1 (t0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210.+ (~>) b0123456789876543210 (Pair a0123456789876543210 b0123456789876543210)+ where+ MkPairSym1KindInference :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (MkPairSym1 t0123456789876543210) arg) (MkPairSym2 t0123456789876543210 arg) =>+ MkPairSym1 t0123456789876543210 t0123456789876543210+ type instance Apply (MkPairSym1 t0123456789876543210) t0123456789876543210 = MkPair t0123456789876543210 t0123456789876543210+ infixr 9 `MkPairSym1`+ instance SuppressUnusedWarnings MkPairSym0 where+ suppressUnusedWarnings = snd (((,) MkPairSym0KindInference) ())+ data MkPairSym0 :: forall a0123456789876543210+ b0123456789876543210.+ (~>) a0123456789876543210 ((~>) b0123456789876543210 (Pair a0123456789876543210 b0123456789876543210))+ where+ MkPairSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply MkPairSym0 arg) (MkPairSym1 arg) =>+ MkPairSym0 t0123456789876543210+ type instance Apply MkPairSym0 t0123456789876543210 = MkPairSym1 t0123456789876543210+ infixr 9 `MkPairSym0`+ infixr 9 `SPair`+ infixr 9 `SMkPair`+ data instance Sing :: (:*:) a b -> GHC.Types.Type+ where+ (:%*:) :: forall a b (n :: a) (n :: b).+ (Sing (n :: a)) -> (Sing (n :: b)) -> Sing ((:*:) n n)+ type (%:*:) = (Sing :: (:*:) a b -> GHC.Types.Type)+ instance (SingKind a, SingKind b) => SingKind ((:*:) a b) where+ type Demote ((:*:) a b) = (:*:) (Demote a) (Demote b)+ fromSing ((:%*:) b b) = ((:*:) (fromSing b)) (fromSing b)+ toSing ((:*:) (b :: Demote a) (b :: Demote b))+ = case ((,) (toSing b :: SomeSing a)) (toSing b :: SomeSing b) of {+ (,) (SomeSing c) (SomeSing c) -> SomeSing (((:%*:) c) c) }+ data instance Sing :: Pair a b -> GHC.Types.Type+ where+ SMkPair :: forall a b (n :: a) (n :: b).+ (Sing (n :: a)) -> (Sing (n :: b)) -> Sing (MkPair n n)+ type SPair = (Sing :: Pair a b -> GHC.Types.Type)+ instance (SingKind a, SingKind b) => SingKind (Pair a b) where+ type Demote (Pair a b) = Pair (Demote a) (Demote b)+ fromSing (SMkPair b b) = (MkPair (fromSing b)) (fromSing b)+ toSing (MkPair (b :: Demote a) (b :: Demote b))+ = case ((,) (toSing b :: SomeSing a)) (toSing b :: SomeSing b) of {+ (,) (SomeSing c) (SomeSing c) -> SomeSing ((SMkPair c) c) }+ instance (SingI n, SingI n) =>+ SingI ((:*:) (n :: a) (n :: b)) where+ sing = ((:%*:) sing) sing+ instance SingI ((:*:@#@$) :: (~>) a ((~>) b ((:*:) a b))) where+ sing = (singFun2 @(:*:@#@$)) (:%*:)+ instance SingI (TyCon2 (:*:) :: (~>) a ((~>) b ((:*:) a b))) where+ sing = (singFun2 @(TyCon2 (:*:))) (:%*:)+ instance SingI d =>+ SingI ((:*:@#@$$) (d :: a) :: (~>) b ((:*:) a b)) where+ sing = (singFun1 @((:*:@#@$$) (d :: a))) ((:%*:) (sing @d))+ instance SingI d =>+ SingI (TyCon1 ((:*:) (d :: a)) :: (~>) b ((:*:) a b)) where+ sing = (singFun1 @(TyCon1 ((:*:) (d :: a)))) ((:%*:) (sing @d))+ instance (SingI n, SingI n) =>+ SingI (MkPair (n :: a) (n :: b)) where+ sing = (SMkPair sing) sing+ instance SingI (MkPairSym0 :: (~>) a ((~>) b (Pair a b))) where+ sing = (singFun2 @MkPairSym0) SMkPair+ instance SingI (TyCon2 MkPair :: (~>) a ((~>) b (Pair a b))) where+ sing = (singFun2 @(TyCon2 MkPair)) SMkPair+ instance SingI d =>+ SingI (MkPairSym1 (d :: a) :: (~>) b (Pair a b)) where+ sing = (singFun1 @(MkPairSym1 (d :: a))) (SMkPair (sing @d))+ instance SingI d =>+ SingI (TyCon1 (MkPair (d :: a)) :: (~>) b (Pair a b)) where+ sing = (singFun1 @(TyCon1 (MkPair (d :: a)))) (SMkPair (sing @d))
− tests/compile-and-dump/Singletons/T200.ghc84.template
@@ -1,154 +0,0 @@-Singletons/T200.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| ($$:) :: ErrorMessage -> ErrorMessage -> ErrorMessage- x $$: y = x :$$: y- (<>:) :: ErrorMessage -> ErrorMessage -> ErrorMessage- x <>: y = x :<>: y- - data ErrorMessage- = ErrorMessage :$$: ErrorMessage |- ErrorMessage :<>: ErrorMessage |- EM [Bool] |]- ======>- data ErrorMessage- = ErrorMessage :$$: ErrorMessage |- ErrorMessage :<>: ErrorMessage |- EM [Bool]- ($$:) :: ErrorMessage -> ErrorMessage -> ErrorMessage- ($$:) x y = (x :$$: y)- (<>:) :: ErrorMessage -> ErrorMessage -> ErrorMessage- (<>:) x y = (x :<>: y)- type (:$$:@#@$$$) (t :: ErrorMessage) (t :: ErrorMessage) =- (:$$:) t t- instance SuppressUnusedWarnings (:$$:@#@$$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (::$$:@#@$$###)) GHC.Tuple.())- data (:$$:@#@$$) (l :: ErrorMessage) (l :: TyFun ErrorMessage ErrorMessage)- = forall arg. SameKind (Apply ((:$$:@#@$$) l) arg) ((:$$:@#@$$$) l arg) =>- (::$$:@#@$$###)- type instance Apply ((:$$:@#@$$) l) l = (:$$:) l l- instance SuppressUnusedWarnings (:$$:@#@$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (::$$:@#@$###)) GHC.Tuple.())- data (:$$:@#@$) (l :: TyFun ErrorMessage (TyFun ErrorMessage ErrorMessage- -> GHC.Types.Type))- = forall arg. SameKind (Apply (:$$:@#@$) arg) ((:$$:@#@$$) arg) =>- (::$$:@#@$###)- type instance Apply (:$$:@#@$) l = (:$$:@#@$$) l- type (:<>:@#@$$$) (t :: ErrorMessage) (t :: ErrorMessage) =- (:<>:) t t- instance SuppressUnusedWarnings (:<>:@#@$$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (::<>:@#@$$###)) GHC.Tuple.())- data (:<>:@#@$$) (l :: ErrorMessage) (l :: TyFun ErrorMessage ErrorMessage)- = forall arg. SameKind (Apply ((:<>:@#@$$) l) arg) ((:<>:@#@$$$) l arg) =>- (::<>:@#@$$###)- type instance Apply ((:<>:@#@$$) l) l = (:<>:) l l- instance SuppressUnusedWarnings (:<>:@#@$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (::<>:@#@$###)) GHC.Tuple.())- data (:<>:@#@$) (l :: TyFun ErrorMessage (TyFun ErrorMessage ErrorMessage- -> GHC.Types.Type))- = forall arg. SameKind (Apply (:<>:@#@$) arg) ((:<>:@#@$$) arg) =>- (::<>:@#@$###)- type instance Apply (:<>:@#@$) l = (:<>:@#@$$) l- type EMSym1 (t :: [Bool]) = EM t- instance SuppressUnusedWarnings EMSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) EMSym0KindInference) GHC.Tuple.())- data EMSym0 (l :: TyFun [Bool] ErrorMessage)- = forall arg. SameKind (Apply EMSym0 arg) (EMSym1 arg) =>- EMSym0KindInference- type instance Apply EMSym0 l = EM l- type (<>:@#@$$$) (t :: ErrorMessage) (t :: ErrorMessage) =- (<>:) t t- instance SuppressUnusedWarnings (<>:@#@$$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (:<>:@#@$$###)) GHC.Tuple.())- data (<>:@#@$$) (l :: ErrorMessage) (l :: TyFun ErrorMessage ErrorMessage)- = forall arg. SameKind (Apply ((<>:@#@$$) l) arg) ((<>:@#@$$$) l arg) =>- (:<>:@#@$$###)- type instance Apply ((<>:@#@$$) l) l = (<>:) l l- instance SuppressUnusedWarnings (<>:@#@$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (:<>:@#@$###)) GHC.Tuple.())- data (<>:@#@$) (l :: TyFun ErrorMessage (TyFun ErrorMessage ErrorMessage- -> GHC.Types.Type))- = forall arg. SameKind (Apply (<>:@#@$) arg) ((<>:@#@$$) arg) =>- (:<>:@#@$###)- type instance Apply (<>:@#@$) l = (<>:@#@$$) l- type ($$:@#@$$$) (t :: ErrorMessage) (t :: ErrorMessage) =- ($$:) t t- instance SuppressUnusedWarnings ($$:@#@$$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (:$$:@#@$$###)) GHC.Tuple.())- data ($$:@#@$$) (l :: ErrorMessage) (l :: TyFun ErrorMessage ErrorMessage)- = forall arg. SameKind (Apply (($$:@#@$$) l) arg) (($$:@#@$$$) l arg) =>- (:$$:@#@$$###)- type instance Apply (($$:@#@$$) l) l = ($$:) l l- instance SuppressUnusedWarnings ($$:@#@$) where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) (:$$:@#@$###)) GHC.Tuple.())- data ($$:@#@$) (l :: TyFun ErrorMessage (TyFun ErrorMessage ErrorMessage- -> GHC.Types.Type))- = forall arg. SameKind (Apply ($$:@#@$) arg) (($$:@#@$$) arg) =>- (:$$:@#@$###)- type instance Apply ($$:@#@$) l = ($$:@#@$$) l- type family (<>:) (a :: ErrorMessage) (a :: ErrorMessage) :: ErrorMessage where- (<>:) x y = Apply (Apply (:<>:@#@$) x) y- type family ($$:) (a :: ErrorMessage) (a :: ErrorMessage) :: ErrorMessage where- ($$:) x y = Apply (Apply (:$$:@#@$) x) y- (%<>:) ::- forall (t :: ErrorMessage) (t :: ErrorMessage).- Sing t- -> Sing t -> Sing (Apply (Apply (<>:@#@$) t) t :: ErrorMessage)- (%$$:) ::- forall (t :: ErrorMessage) (t :: ErrorMessage).- Sing t- -> Sing t -> Sing (Apply (Apply ($$:@#@$) t) t :: ErrorMessage)- (%<>:) (sX :: Sing x) (sY :: Sing y)- = (applySing ((applySing ((singFun2 @(:<>:@#@$)) (:%<>:))) sX)) sY- (%$$:) (sX :: Sing x) (sY :: Sing y)- = (applySing ((applySing ((singFun2 @(:$$:@#@$)) (:%$$:))) sX)) sY- data instance Sing (z :: ErrorMessage)- where- (:%$$:) :: forall (n :: ErrorMessage) (n :: ErrorMessage).- (Sing (n :: ErrorMessage))- -> (Sing (n :: ErrorMessage)) -> Sing ((:$$:) n n)- (:%<>:) :: forall (n :: ErrorMessage) (n :: ErrorMessage).- (Sing (n :: ErrorMessage))- -> (Sing (n :: ErrorMessage)) -> Sing ((:<>:) n n)- SEM :: forall (n :: [Bool]). (Sing (n :: [Bool])) -> Sing (EM n)- type SErrorMessage = (Sing :: ErrorMessage -> GHC.Types.Type)- instance SingKind ErrorMessage where- type Demote ErrorMessage = ErrorMessage- fromSing ((:%$$:) b b) = ((:$$:) (fromSing b)) (fromSing b)- fromSing ((:%<>:) b b) = ((:<>:) (fromSing b)) (fromSing b)- fromSing (SEM b) = EM (fromSing b)- toSing- ((:$$:) (b :: Demote ErrorMessage) (b :: Demote ErrorMessage))- = case- (GHC.Tuple.(,) (toSing b :: SomeSing ErrorMessage))- (toSing b :: SomeSing ErrorMessage)- of {- GHC.Tuple.(,) (SomeSing c) (SomeSing c)- -> SomeSing (((:%$$:) c) c) }- toSing- ((:<>:) (b :: Demote ErrorMessage) (b :: Demote ErrorMessage))- = case- (GHC.Tuple.(,) (toSing b :: SomeSing ErrorMessage))- (toSing b :: SomeSing ErrorMessage)- of {- GHC.Tuple.(,) (SomeSing c) (SomeSing c)- -> SomeSing (((:%<>:) c) c) }- toSing (EM (b :: Demote [Bool]))- = case toSing b :: SomeSing [Bool] of {- SomeSing c -> SomeSing (SEM c) }- instance (SingI n, SingI n) =>- SingI ((:$$:) (n :: ErrorMessage) (n :: ErrorMessage)) where- sing = ((:%$$:) sing) sing- instance (SingI n, SingI n) =>- SingI ((:<>:) (n :: ErrorMessage) (n :: ErrorMessage)) where- sing = ((:%<>:) sing) sing- instance SingI n => SingI (EM (n :: [Bool])) where- sing = SEM sing
+ tests/compile-and-dump/Singletons/T200.ghc86.template view
@@ -0,0 +1,204 @@+Singletons/T200.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| ($$:) :: ErrorMessage -> ErrorMessage -> ErrorMessage+ x $$: y = x :$$: y+ (<>:) :: ErrorMessage -> ErrorMessage -> ErrorMessage+ x <>: y = x :<>: y+ + data ErrorMessage+ = ErrorMessage :$$: ErrorMessage |+ ErrorMessage :<>: ErrorMessage |+ EM [Bool] |]+ ======>+ data ErrorMessage+ = ErrorMessage :$$: ErrorMessage |+ ErrorMessage :<>: ErrorMessage |+ EM [Bool]+ ($$:) :: ErrorMessage -> ErrorMessage -> ErrorMessage+ ($$:) x y = (x :$$: y)+ (<>:) :: ErrorMessage -> ErrorMessage -> ErrorMessage+ (<>:) x y = (x :<>: y)+ type (:$$:@#@$$$) (t0123456789876543210 :: ErrorMessage) (t0123456789876543210 :: ErrorMessage) =+ (:$$:) t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings ((:$$:@#@$$) t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) (::$$:@#@$$###)) ())+ data (:$$:@#@$$) (t0123456789876543210 :: ErrorMessage) :: (~>) ErrorMessage ErrorMessage+ where+ (::$$:@#@$$###) :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply ((:$$:@#@$$) t0123456789876543210) arg) ((:$$:@#@$$$) t0123456789876543210 arg) =>+ (:$$:@#@$$) t0123456789876543210 t0123456789876543210+ type instance Apply ((:$$:@#@$$) t0123456789876543210) t0123456789876543210 = (:$$:) t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (:$$:@#@$) where+ suppressUnusedWarnings = snd (((,) (::$$:@#@$###)) ())+ data (:$$:@#@$) :: (~>) ErrorMessage ((~>) ErrorMessage ErrorMessage)+ where+ (::$$:@#@$###) :: forall t0123456789876543210+ arg. SameKind (Apply (:$$:@#@$) arg) ((:$$:@#@$$) arg) =>+ (:$$:@#@$) t0123456789876543210+ type instance Apply (:$$:@#@$) t0123456789876543210 = (:$$:@#@$$) t0123456789876543210+ type (:<>:@#@$$$) (t0123456789876543210 :: ErrorMessage) (t0123456789876543210 :: ErrorMessage) =+ (:<>:) t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings ((:<>:@#@$$) t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) (::<>:@#@$$###)) ())+ data (:<>:@#@$$) (t0123456789876543210 :: ErrorMessage) :: (~>) ErrorMessage ErrorMessage+ where+ (::<>:@#@$$###) :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply ((:<>:@#@$$) t0123456789876543210) arg) ((:<>:@#@$$$) t0123456789876543210 arg) =>+ (:<>:@#@$$) t0123456789876543210 t0123456789876543210+ type instance Apply ((:<>:@#@$$) t0123456789876543210) t0123456789876543210 = (:<>:) t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (:<>:@#@$) where+ suppressUnusedWarnings = snd (((,) (::<>:@#@$###)) ())+ data (:<>:@#@$) :: (~>) ErrorMessage ((~>) ErrorMessage ErrorMessage)+ where+ (::<>:@#@$###) :: forall t0123456789876543210+ arg. SameKind (Apply (:<>:@#@$) arg) ((:<>:@#@$$) arg) =>+ (:<>:@#@$) t0123456789876543210+ type instance Apply (:<>:@#@$) t0123456789876543210 = (:<>:@#@$$) t0123456789876543210+ type EMSym1 (t0123456789876543210 :: [Bool]) =+ EM t0123456789876543210+ instance SuppressUnusedWarnings EMSym0 where+ suppressUnusedWarnings = snd (((,) EMSym0KindInference) ())+ data EMSym0 :: (~>) [Bool] ErrorMessage+ where+ EMSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply EMSym0 arg) (EMSym1 arg) =>+ EMSym0 t0123456789876543210+ type instance Apply EMSym0 t0123456789876543210 = EM t0123456789876543210+ type (<>:@#@$$$) (a0123456789876543210 :: ErrorMessage) (a0123456789876543210 :: ErrorMessage) =+ (<>:) a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ((<>:@#@$$) a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) (:<>:@#@$$###)) ())+ data (<>:@#@$$) (a0123456789876543210 :: ErrorMessage) :: (~>) ErrorMessage ErrorMessage+ where+ (:<>:@#@$$###) :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply ((<>:@#@$$) a0123456789876543210) arg) ((<>:@#@$$$) a0123456789876543210 arg) =>+ (<>:@#@$$) a0123456789876543210 a0123456789876543210+ type instance Apply ((<>:@#@$$) a0123456789876543210) a0123456789876543210 = (<>:) a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (<>:@#@$) where+ suppressUnusedWarnings = snd (((,) (:<>:@#@$###)) ())+ data (<>:@#@$) :: (~>) ErrorMessage ((~>) ErrorMessage ErrorMessage)+ where+ (:<>:@#@$###) :: forall a0123456789876543210+ arg. SameKind (Apply (<>:@#@$) arg) ((<>:@#@$$) arg) =>+ (<>:@#@$) a0123456789876543210+ type instance Apply (<>:@#@$) a0123456789876543210 = (<>:@#@$$) a0123456789876543210+ type ($$:@#@$$$) (a0123456789876543210 :: ErrorMessage) (a0123456789876543210 :: ErrorMessage) =+ ($$:) a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (($$:@#@$$) a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) (:$$:@#@$$###)) ())+ data ($$:@#@$$) (a0123456789876543210 :: ErrorMessage) :: (~>) ErrorMessage ErrorMessage+ where+ (:$$:@#@$$###) :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (($$:@#@$$) a0123456789876543210) arg) (($$:@#@$$$) a0123456789876543210 arg) =>+ ($$:@#@$$) a0123456789876543210 a0123456789876543210+ type instance Apply (($$:@#@$$) a0123456789876543210) a0123456789876543210 = ($$:) a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ($$:@#@$) where+ suppressUnusedWarnings = snd (((,) (:$$:@#@$###)) ())+ data ($$:@#@$) :: (~>) ErrorMessage ((~>) ErrorMessage ErrorMessage)+ where+ (:$$:@#@$###) :: forall a0123456789876543210+ arg. SameKind (Apply ($$:@#@$) arg) (($$:@#@$$) arg) =>+ ($$:@#@$) a0123456789876543210+ type instance Apply ($$:@#@$) a0123456789876543210 = ($$:@#@$$) a0123456789876543210+ type family (<>:) (a :: ErrorMessage) (a :: ErrorMessage) :: ErrorMessage where+ (<>:) x y = Apply (Apply (:<>:@#@$) x) y+ type family ($$:) (a :: ErrorMessage) (a :: ErrorMessage) :: ErrorMessage where+ ($$:) x y = Apply (Apply (:$$:@#@$) x) y+ (%<>:) ::+ forall (t :: ErrorMessage) (t :: ErrorMessage).+ Sing t+ -> Sing t -> Sing (Apply (Apply (<>:@#@$) t) t :: ErrorMessage)+ (%$$:) ::+ forall (t :: ErrorMessage) (t :: ErrorMessage).+ Sing t+ -> Sing t -> Sing (Apply (Apply ($$:@#@$) t) t :: ErrorMessage)+ (%<>:) (sX :: Sing x) (sY :: Sing y)+ = (applySing ((applySing ((singFun2 @(:<>:@#@$)) (:%<>:))) sX)) sY+ (%$$:) (sX :: Sing x) (sY :: Sing y)+ = (applySing ((applySing ((singFun2 @(:$$:@#@$)) (:%$$:))) sX)) sY+ instance SingI ((<>:@#@$) :: (~>) ErrorMessage ((~>) ErrorMessage ErrorMessage)) where+ sing = (singFun2 @(<>:@#@$)) (%<>:)+ instance SingI d =>+ SingI ((<>:@#@$$) (d :: ErrorMessage) :: (~>) ErrorMessage ErrorMessage) where+ sing+ = (singFun1 @((<>:@#@$$) (d :: ErrorMessage))) ((%<>:) (sing @d))+ instance SingI (($$:@#@$) :: (~>) ErrorMessage ((~>) ErrorMessage ErrorMessage)) where+ sing = (singFun2 @($$:@#@$)) (%$$:)+ instance SingI d =>+ SingI (($$:@#@$$) (d :: ErrorMessage) :: (~>) ErrorMessage ErrorMessage) where+ sing+ = (singFun1 @(($$:@#@$$) (d :: ErrorMessage))) ((%$$:) (sing @d))+ data instance Sing :: ErrorMessage -> GHC.Types.Type+ where+ (:%$$:) :: forall (n :: ErrorMessage) (n :: ErrorMessage).+ (Sing (n :: ErrorMessage))+ -> (Sing (n :: ErrorMessage)) -> Sing ((:$$:) n n)+ (:%<>:) :: forall (n :: ErrorMessage) (n :: ErrorMessage).+ (Sing (n :: ErrorMessage))+ -> (Sing (n :: ErrorMessage)) -> Sing ((:<>:) n n)+ SEM :: forall (n :: [Bool]). (Sing (n :: [Bool])) -> Sing (EM n)+ type SErrorMessage = (Sing :: ErrorMessage -> GHC.Types.Type)+ instance SingKind ErrorMessage where+ type Demote ErrorMessage = ErrorMessage+ fromSing ((:%$$:) b b) = ((:$$:) (fromSing b)) (fromSing b)+ fromSing ((:%<>:) b b) = ((:<>:) (fromSing b)) (fromSing b)+ fromSing (SEM b) = EM (fromSing b)+ toSing+ ((:$$:) (b :: Demote ErrorMessage) (b :: Demote ErrorMessage))+ = case+ ((,) (toSing b :: SomeSing ErrorMessage))+ (toSing b :: SomeSing ErrorMessage)+ of {+ (,) (SomeSing c) (SomeSing c) -> SomeSing (((:%$$:) c) c) }+ toSing+ ((:<>:) (b :: Demote ErrorMessage) (b :: Demote ErrorMessage))+ = case+ ((,) (toSing b :: SomeSing ErrorMessage))+ (toSing b :: SomeSing ErrorMessage)+ of {+ (,) (SomeSing c) (SomeSing c) -> SomeSing (((:%<>:) c) c) }+ toSing (EM (b :: Demote [Bool]))+ = case toSing b :: SomeSing [Bool] of {+ SomeSing c -> SomeSing (SEM c) }+ instance (SingI n, SingI n) =>+ SingI ((:$$:) (n :: ErrorMessage) (n :: ErrorMessage)) where+ sing = ((:%$$:) sing) sing+ instance SingI ((:$$:@#@$) :: (~>) ErrorMessage ((~>) ErrorMessage ErrorMessage)) where+ sing = (singFun2 @(:$$:@#@$)) (:%$$:)+ instance SingI (TyCon2 (:$$:) :: (~>) ErrorMessage ((~>) ErrorMessage ErrorMessage)) where+ sing = (singFun2 @(TyCon2 (:$$:))) (:%$$:)+ instance SingI d =>+ SingI ((:$$:@#@$$) (d :: ErrorMessage) :: (~>) ErrorMessage ErrorMessage) where+ sing+ = (singFun1 @((:$$:@#@$$) (d :: ErrorMessage))) ((:%$$:) (sing @d))+ instance SingI d =>+ SingI (TyCon1 ((:$$:) (d :: ErrorMessage)) :: (~>) ErrorMessage ErrorMessage) where+ sing+ = (singFun1 @(TyCon1 ((:$$:) (d :: ErrorMessage))))+ ((:%$$:) (sing @d))+ instance (SingI n, SingI n) =>+ SingI ((:<>:) (n :: ErrorMessage) (n :: ErrorMessage)) where+ sing = ((:%<>:) sing) sing+ instance SingI ((:<>:@#@$) :: (~>) ErrorMessage ((~>) ErrorMessage ErrorMessage)) where+ sing = (singFun2 @(:<>:@#@$)) (:%<>:)+ instance SingI (TyCon2 (:<>:) :: (~>) ErrorMessage ((~>) ErrorMessage ErrorMessage)) where+ sing = (singFun2 @(TyCon2 (:<>:))) (:%<>:)+ instance SingI d =>+ SingI ((:<>:@#@$$) (d :: ErrorMessage) :: (~>) ErrorMessage ErrorMessage) where+ sing+ = (singFun1 @((:<>:@#@$$) (d :: ErrorMessage))) ((:%<>:) (sing @d))+ instance SingI d =>+ SingI (TyCon1 ((:<>:) (d :: ErrorMessage)) :: (~>) ErrorMessage ErrorMessage) where+ sing+ = (singFun1 @(TyCon1 ((:<>:) (d :: ErrorMessage))))+ ((:%<>:) (sing @d))+ instance SingI n => SingI (EM (n :: [Bool])) where+ sing = SEM sing+ instance SingI (EMSym0 :: (~>) [Bool] ErrorMessage) where+ sing = (singFun1 @EMSym0) SEM+ instance SingI (TyCon1 EM :: (~>) [Bool] ErrorMessage) where+ sing = (singFun1 @(TyCon1 EM)) SEM
− tests/compile-and-dump/Singletons/T206.ghc84.template
+ tests/compile-and-dump/Singletons/T206.ghc86.template view
− tests/compile-and-dump/Singletons/T209.ghc84.template
@@ -1,68 +0,0 @@-Singletons/T209.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| m :: a -> b -> Bool -> Bool- m _ _ x = x- - class C a b- data Hm- = Hm- deriving anyclass (C Bool)- - deriving anyclass instance C a a => C a (Maybe a) |]- ======>- class C a b- m :: a -> b -> Bool -> Bool- m _ _ x = x- data Hm- = Hm- deriving anyclass (C Bool)- deriving anyclass instance C a a => C a (Maybe a)- type HmSym0 = Hm- type MSym3 (t :: a0123456789876543210) (t :: b0123456789876543210) (t :: Bool) =- M t t t- instance SuppressUnusedWarnings MSym2 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) MSym2KindInference) GHC.Tuple.())- data MSym2 (l :: a0123456789876543210) (l :: b0123456789876543210) (l :: TyFun Bool Bool)- = forall arg. SameKind (Apply (MSym2 l l) arg) (MSym3 l l arg) =>- MSym2KindInference- type instance Apply (MSym2 l l) l = M l l l- instance SuppressUnusedWarnings MSym1 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) MSym1KindInference) GHC.Tuple.())- data MSym1 (l :: a0123456789876543210) (l :: TyFun b0123456789876543210 (TyFun Bool Bool- -> GHC.Types.Type))- = forall arg. SameKind (Apply (MSym1 l) arg) (MSym2 l arg) =>- MSym1KindInference- type instance Apply (MSym1 l) l = MSym2 l l- instance SuppressUnusedWarnings MSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) MSym0KindInference) GHC.Tuple.())- data MSym0 (l :: TyFun a0123456789876543210 (TyFun b0123456789876543210 (TyFun Bool Bool- -> GHC.Types.Type)- -> GHC.Types.Type))- = forall arg. SameKind (Apply MSym0 arg) (MSym1 arg) =>- MSym0KindInference- type instance Apply MSym0 l = MSym1 l- type family M (a :: a) (a :: b) (a :: Bool) :: Bool where- M _ _ x = x- class PC (a :: GHC.Types.Type) (b :: GHC.Types.Type)- instance PC Bool Hm- instance PC a (Maybe a)- sM ::- forall (t :: a) (t :: b) (t :: Bool).- Sing t- -> Sing t- -> Sing t -> Sing (Apply (Apply (Apply MSym0 t) t) t :: Bool)- sM _ _ (sX :: Sing x) = sX- data instance Sing (z :: Hm) where SHm :: Sing Hm- type SHm = (Sing :: Hm -> GHC.Types.Type)- instance SingKind Hm where- type Demote Hm = Hm- fromSing SHm = Hm- toSing Hm = SomeSing SHm- class SC a b- instance SC Bool Hm- instance SC a a => SC a (Maybe a)- instance SingI Hm where- sing = SHm
+ tests/compile-and-dump/Singletons/T209.ghc86.template view
@@ -0,0 +1,82 @@+Singletons/T209.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| m :: a -> b -> Bool -> Bool+ m _ _ x = x+ + class C a b+ data Hm+ = Hm+ deriving anyclass (C Bool)+ + deriving anyclass instance C a a => C a (Maybe a) |]+ ======>+ class C a b+ m :: a -> b -> Bool -> Bool+ m _ _ x = x+ data Hm+ = Hm+ deriving anyclass (C Bool)+ deriving anyclass instance C a a => C a (Maybe a)+ type HmSym0 = Hm+ type MSym3 (a0123456789876543210 :: a0123456789876543210) (a0123456789876543210 :: b0123456789876543210) (a0123456789876543210 :: Bool) =+ M a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (MSym2 a0123456789876543210 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) MSym2KindInference) ())+ data MSym2 (a0123456789876543210 :: a0123456789876543210) (a0123456789876543210 :: b0123456789876543210) :: (~>) Bool Bool+ where+ MSym2KindInference :: forall a0123456789876543210+ a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (MSym2 a0123456789876543210 a0123456789876543210) arg) (MSym3 a0123456789876543210 a0123456789876543210 arg) =>+ MSym2 a0123456789876543210 a0123456789876543210 a0123456789876543210+ type instance Apply (MSym2 a0123456789876543210 a0123456789876543210) a0123456789876543210 = M a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (MSym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) MSym1KindInference) ())+ data MSym1 (a0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210.+ (~>) b0123456789876543210 ((~>) Bool Bool)+ where+ MSym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (MSym1 a0123456789876543210) arg) (MSym2 a0123456789876543210 arg) =>+ MSym1 a0123456789876543210 a0123456789876543210+ type instance Apply (MSym1 a0123456789876543210) a0123456789876543210 = MSym2 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings MSym0 where+ suppressUnusedWarnings = snd (((,) MSym0KindInference) ())+ data MSym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) a0123456789876543210 ((~>) b0123456789876543210 ((~>) Bool Bool))+ where+ MSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply MSym0 arg) (MSym1 arg) =>+ MSym0 a0123456789876543210+ type instance Apply MSym0 a0123456789876543210 = MSym1 a0123456789876543210+ type family M (a :: a) (a :: b) (a :: Bool) :: Bool where+ M _ _ x = x+ class PC (a :: GHC.Types.Type) (b :: GHC.Types.Type)+ instance PC Bool Hm+ instance PC a (Maybe a)+ sM ::+ forall a b (t :: a) (t :: b) (t :: Bool).+ Sing t+ -> Sing t+ -> Sing t -> Sing (Apply (Apply (Apply MSym0 t) t) t :: Bool)+ sM _ _ (sX :: Sing x) = sX+ instance SingI (MSym0 :: (~>) a ((~>) b ((~>) Bool Bool))) where+ sing = (singFun3 @MSym0) sM+ instance SingI d =>+ SingI (MSym1 (d :: a) :: (~>) b ((~>) Bool Bool)) where+ sing = (singFun2 @(MSym1 (d :: a))) (sM (sing @d))+ instance (SingI d, SingI d) =>+ SingI (MSym2 (d :: a) (d :: b) :: (~>) Bool Bool) where+ sing+ = (singFun1 @(MSym2 (d :: a) (d :: b))) ((sM (sing @d)) (sing @d))+ data instance Sing :: Hm -> GHC.Types.Type where SHm :: Sing Hm+ type SHm = (Sing :: Hm -> GHC.Types.Type)+ instance SingKind Hm where+ type Demote Hm = Hm+ fromSing SHm = Hm+ toSing Hm = SomeSing SHm+ class SC a b+ instance SC Bool Hm+ instance SC a a => SC a (Maybe a)+ instance SingI Hm where+ sing = SHm
+ tests/compile-and-dump/Singletons/T216.ghc86.template view
@@ -0,0 +1,56 @@+Singletons/T216.hs:0:0:: Splicing declarations+ genDefunSymbols [''MyProxy, ''Symmetry]+ ======>+ type MyProxySym2 (k0123456789876543210 :: Type) (a0123456789876543210 :: k0123456789876543210) =+ MyProxy k0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (MyProxySym1 k0123456789876543210) where+ suppressUnusedWarnings = snd (((,) MyProxySym1KindInference) ())+ data MyProxySym1 (k0123456789876543210 :: Type) :: (~>) k0123456789876543210 Type+ where+ MyProxySym1KindInference :: forall k0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (MyProxySym1 k0123456789876543210) arg) (MyProxySym2 k0123456789876543210 arg) =>+ MyProxySym1 k0123456789876543210 a0123456789876543210+ type instance Apply (MyProxySym1 k0123456789876543210) a0123456789876543210 = MyProxy k0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings MyProxySym0 where+ suppressUnusedWarnings = snd (((,) MyProxySym0KindInference) ())+ data MyProxySym0 :: forall (k0123456789876543210 :: Type).+ (~>) Type ((~>) k0123456789876543210 Type)+ where+ MyProxySym0KindInference :: forall k0123456789876543210+ arg. SameKind (Apply MyProxySym0 arg) (MyProxySym1 arg) =>+ MyProxySym0 k0123456789876543210+ type instance Apply MyProxySym0 k0123456789876543210 = MyProxySym1 k0123456789876543210+ type SymmetrySym3 (a0123456789876543210 :: t0123456789876543210) (y0123456789876543210 :: t0123456789876543210) (e0123456789876543210 :: (:~:) a0123456789876543210 y0123456789876543210) =+ Symmetry a0123456789876543210 y0123456789876543210 e0123456789876543210+ instance SuppressUnusedWarnings (SymmetrySym2 y0123456789876543210 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) SymmetrySym2KindInference) ())+ data SymmetrySym2 (a0123456789876543210 :: t0123456789876543210) (y0123456789876543210 :: t0123456789876543210) :: (~>) ((:~:) a0123456789876543210 y0123456789876543210) Type+ where+ SymmetrySym2KindInference :: forall a0123456789876543210+ y0123456789876543210+ e0123456789876543210+ arg. SameKind (Apply (SymmetrySym2 a0123456789876543210 y0123456789876543210) arg) (SymmetrySym3 a0123456789876543210 y0123456789876543210 arg) =>+ SymmetrySym2 a0123456789876543210 y0123456789876543210 e0123456789876543210+ type instance Apply (SymmetrySym2 y0123456789876543210 a0123456789876543210) e0123456789876543210 = Symmetry y0123456789876543210 a0123456789876543210 e0123456789876543210+ instance SuppressUnusedWarnings (SymmetrySym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) SymmetrySym1KindInference) ())+ data SymmetrySym1 (a0123456789876543210 :: t0123456789876543210) :: forall (y0123456789876543210 :: t0123456789876543210).+ (~>) t0123456789876543210 ((~>) ((:~:) a0123456789876543210 y0123456789876543210) Type)+ where+ SymmetrySym1KindInference :: forall a0123456789876543210+ y0123456789876543210+ arg. SameKind (Apply (SymmetrySym1 a0123456789876543210) arg) (SymmetrySym2 a0123456789876543210 arg) =>+ SymmetrySym1 a0123456789876543210 y0123456789876543210+ type instance Apply (SymmetrySym1 a0123456789876543210) y0123456789876543210 = SymmetrySym2 a0123456789876543210 y0123456789876543210+ instance SuppressUnusedWarnings SymmetrySym0 where+ suppressUnusedWarnings = snd (((,) SymmetrySym0KindInference) ())+ data SymmetrySym0 :: forall t0123456789876543210+ (a0123456789876543210 :: t0123456789876543210)+ (y0123456789876543210 :: t0123456789876543210).+ (~>) t0123456789876543210 ((~>) t0123456789876543210 ((~>) ((:~:) a0123456789876543210 y0123456789876543210) Type))+ where+ SymmetrySym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply SymmetrySym0 arg) (SymmetrySym1 arg) =>+ SymmetrySym0 a0123456789876543210+ type instance Apply SymmetrySym0 a0123456789876543210 = SymmetrySym1 a0123456789876543210
+ tests/compile-and-dump/Singletons/T216.hs view
@@ -0,0 +1,12 @@+module T216 where++import Data.Kind+import Data.Singletons.TH++type family MyProxy k (a :: k) :: Type where+ MyProxy _ a = Proxy a++type family Symmetry (a :: t) (y :: t) (e :: a :~: y) :: Type where+ Symmetry a y _ = y :~: a++$(genDefunSymbols [''MyProxy, ''Symmetry])
− tests/compile-and-dump/Singletons/T226.ghc84.template
@@ -1,6 +0,0 @@-Singletons/T226.hs:0:0:: Splicing declarations- singletons [d| class a ~> b |]- ======>- class (~>) a b- class (#~>) (a :: GHC.Types.Type) (b :: GHC.Types.Type)- class (%~>) a b
+ tests/compile-and-dump/Singletons/T226.ghc86.template view
@@ -0,0 +1,6 @@+Singletons/T226.hs:0:0:: Splicing declarations+ singletons [d| class a ~> b |]+ ======>+ class (~>) a b+ class (#~>) (a :: GHC.Types.Type) (b :: GHC.Types.Type)+ class (%~>) a b
− tests/compile-and-dump/Singletons/T229.ghc84.template
@@ -1,20 +0,0 @@-Singletons/T229.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| ___foo :: Bool -> Bool- ___foo _ = True |]- ======>- ___foo :: Bool -> Bool- ___foo _ = True- type US___fooSym1 (t :: Bool) = US___foo t- instance SuppressUnusedWarnings US___fooSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) US___fooSym0KindInference) GHC.Tuple.())- data US___fooSym0 (l :: TyFun Bool Bool)- = forall arg. SameKind (Apply US___fooSym0 arg) (US___fooSym1 arg) =>- US___fooSym0KindInference- type instance Apply US___fooSym0 l = US___foo l- type family US___foo (a :: Bool) :: Bool where- US___foo _ = TrueSym0- ___sfoo ::- forall (t :: Bool). Sing t -> Sing (Apply US___fooSym0 t :: Bool)- ___sfoo _ = STrue
+ tests/compile-and-dump/Singletons/T229.ghc86.template view
@@ -0,0 +1,24 @@+Singletons/T229.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| ___foo :: Bool -> Bool+ ___foo _ = True |]+ ======>+ ___foo :: Bool -> Bool+ ___foo _ = True+ type US___fooSym1 (a0123456789876543210 :: Bool) =+ US___foo a0123456789876543210+ instance SuppressUnusedWarnings US___fooSym0 where+ suppressUnusedWarnings = snd (((,) US___fooSym0KindInference) ())+ data US___fooSym0 :: (~>) Bool Bool+ where+ US___fooSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply US___fooSym0 arg) (US___fooSym1 arg) =>+ US___fooSym0 a0123456789876543210+ type instance Apply US___fooSym0 a0123456789876543210 = US___foo a0123456789876543210+ type family US___foo (a :: Bool) :: Bool where+ US___foo _ = TrueSym0+ ___sfoo ::+ forall (t :: Bool). Sing t -> Sing (Apply US___fooSym0 t :: Bool)+ ___sfoo _ = STrue+ instance SingI (US___fooSym0 :: (~>) Bool Bool) where+ sing = (singFun1 @US___fooSym0) ___sfoo
− tests/compile-and-dump/Singletons/T249.ghc84.template
@@ -1,69 +0,0 @@-Singletons/T249.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| data Foo1 a = MkFoo1 a- data Foo2 a where MkFoo2 :: x -> Foo2 x- data Foo3 a where MkFoo3 :: forall x. x -> Foo3 x |]- ======>- data Foo1 a = MkFoo1 a- data Foo2 a where MkFoo2 :: x -> Foo2 x- data Foo3 a where MkFoo3 :: forall x. x -> Foo3 x- type MkFoo1Sym1 (t :: a0123456789876543210) = MkFoo1 t- instance SuppressUnusedWarnings MkFoo1Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) MkFoo1Sym0KindInference) GHC.Tuple.())- data MkFoo1Sym0 (l :: TyFun a0123456789876543210 (Foo1 a0123456789876543210))- = forall arg. SameKind (Apply MkFoo1Sym0 arg) (MkFoo1Sym1 arg) =>- MkFoo1Sym0KindInference- type instance Apply MkFoo1Sym0 l = MkFoo1 l- type MkFoo2Sym1 (t :: x0123456789876543210) = MkFoo2 t- instance SuppressUnusedWarnings MkFoo2Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) MkFoo2Sym0KindInference) GHC.Tuple.())- data MkFoo2Sym0 (l :: TyFun x0123456789876543210 (Foo2 a0123456789876543210))- = forall arg. SameKind (Apply MkFoo2Sym0 arg) (MkFoo2Sym1 arg) =>- MkFoo2Sym0KindInference- type instance Apply MkFoo2Sym0 l = MkFoo2 l- type MkFoo3Sym1 (t :: x0123456789876543210) = MkFoo3 t- instance SuppressUnusedWarnings MkFoo3Sym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) MkFoo3Sym0KindInference) GHC.Tuple.())- data MkFoo3Sym0 (l :: TyFun x0123456789876543210 (Foo3 a0123456789876543210))- = forall arg. SameKind (Apply MkFoo3Sym0 arg) (MkFoo3Sym1 arg) =>- MkFoo3Sym0KindInference- type instance Apply MkFoo3Sym0 l = MkFoo3 l- data instance Sing (z :: Foo1 a)- where- SMkFoo1 :: forall (n :: a). (Sing (n :: a)) -> Sing (MkFoo1 n)- type SFoo1 = (Sing :: Foo1 a -> Type)- instance SingKind a => SingKind (Foo1 a) where- type Demote (Foo1 a) = Foo1 (Demote a)- fromSing (SMkFoo1 b) = MkFoo1 (fromSing b)- toSing (MkFoo1 (b :: Demote a))- = case toSing b :: SomeSing a of {- SomeSing c -> SomeSing (SMkFoo1 c) }- data instance Sing (z :: Foo2 a)- where- SMkFoo2 :: forall (n :: x). (Sing (n :: x)) -> Sing (MkFoo2 n)- type SFoo2 = (Sing :: Foo2 a -> Type)- instance SingKind a => SingKind (Foo2 a) where- type Demote (Foo2 a) = Foo2 (Demote a)- fromSing (SMkFoo2 b) = MkFoo2 (fromSing b)- toSing (MkFoo2 (b :: Demote x))- = case toSing b :: SomeSing x of {- SomeSing c -> SomeSing (SMkFoo2 c) }- data instance Sing (z :: Foo3 a)- where- SMkFoo3 :: forall (n :: x). (Sing (n :: x)) -> Sing (MkFoo3 n)- type SFoo3 = (Sing :: Foo3 a -> Type)- instance SingKind a => SingKind (Foo3 a) where- type Demote (Foo3 a) = Foo3 (Demote a)- fromSing (SMkFoo3 b) = MkFoo3 (fromSing b)- toSing (MkFoo3 (b :: Demote x))- = case toSing b :: SomeSing x of {- SomeSing c -> SomeSing (SMkFoo3 c) }- instance SingI n => SingI (MkFoo1 (n :: a)) where- sing = SMkFoo1 sing- instance SingI n => SingI (MkFoo2 (n :: x)) where- sing = SMkFoo2 sing- instance SingI n => SingI (MkFoo3 (n :: x)) where- sing = SMkFoo3 sing
+ tests/compile-and-dump/Singletons/T249.ghc86.template view
@@ -0,0 +1,90 @@+Singletons/T249.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| data Foo1 a = MkFoo1 a+ data Foo2 a where MkFoo2 :: x -> Foo2 x+ data Foo3 a where MkFoo3 :: forall x. x -> Foo3 x |]+ ======>+ data Foo1 a = MkFoo1 a+ data Foo2 a where MkFoo2 :: x -> Foo2 x+ data Foo3 a where MkFoo3 :: forall x. x -> Foo3 x+ type MkFoo1Sym1 (t0123456789876543210 :: a0123456789876543210) =+ MkFoo1 t0123456789876543210+ instance SuppressUnusedWarnings MkFoo1Sym0 where+ suppressUnusedWarnings = snd (((,) MkFoo1Sym0KindInference) ())+ data MkFoo1Sym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 (Foo1 a0123456789876543210)+ where+ MkFoo1Sym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply MkFoo1Sym0 arg) (MkFoo1Sym1 arg) =>+ MkFoo1Sym0 t0123456789876543210+ type instance Apply MkFoo1Sym0 t0123456789876543210 = MkFoo1 t0123456789876543210+ type MkFoo2Sym1 (t0123456789876543210 :: x0123456789876543210) =+ MkFoo2 t0123456789876543210+ instance SuppressUnusedWarnings MkFoo2Sym0 where+ suppressUnusedWarnings = snd (((,) MkFoo2Sym0KindInference) ())+ data MkFoo2Sym0 :: forall x0123456789876543210.+ (~>) x0123456789876543210 (Foo2 x0123456789876543210)+ where+ MkFoo2Sym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply MkFoo2Sym0 arg) (MkFoo2Sym1 arg) =>+ MkFoo2Sym0 t0123456789876543210+ type instance Apply MkFoo2Sym0 t0123456789876543210 = MkFoo2 t0123456789876543210+ type MkFoo3Sym1 (t0123456789876543210 :: x0123456789876543210) =+ MkFoo3 t0123456789876543210+ instance SuppressUnusedWarnings MkFoo3Sym0 where+ suppressUnusedWarnings = snd (((,) MkFoo3Sym0KindInference) ())+ data MkFoo3Sym0 :: forall x0123456789876543210.+ (~>) x0123456789876543210 (Foo3 x0123456789876543210)+ where+ MkFoo3Sym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply MkFoo3Sym0 arg) (MkFoo3Sym1 arg) =>+ MkFoo3Sym0 t0123456789876543210+ type instance Apply MkFoo3Sym0 t0123456789876543210 = MkFoo3 t0123456789876543210+ data instance Sing :: Foo1 a -> Type+ where+ SMkFoo1 :: forall a (n :: a). (Sing (n :: a)) -> Sing (MkFoo1 n)+ type SFoo1 = (Sing :: Foo1 a -> Type)+ instance SingKind a => SingKind (Foo1 a) where+ type Demote (Foo1 a) = Foo1 (Demote a)+ fromSing (SMkFoo1 b) = MkFoo1 (fromSing b)+ toSing (MkFoo1 (b :: Demote a))+ = case toSing b :: SomeSing a of {+ SomeSing c -> SomeSing (SMkFoo1 c) }+ data instance Sing :: Foo2 a -> Type+ where+ SMkFoo2 :: forall x (n :: x). (Sing (n :: x)) -> Sing (MkFoo2 n)+ type SFoo2 = (Sing :: Foo2 a -> Type)+ instance SingKind a => SingKind (Foo2 a) where+ type Demote (Foo2 a) = Foo2 (Demote a)+ fromSing (SMkFoo2 b) = MkFoo2 (fromSing b)+ toSing (MkFoo2 (b :: Demote x))+ = case toSing b :: SomeSing x of {+ SomeSing c -> SomeSing (SMkFoo2 c) }+ data instance Sing :: Foo3 a -> Type+ where+ SMkFoo3 :: forall x (n :: x). (Sing (n :: x)) -> Sing (MkFoo3 n)+ type SFoo3 = (Sing :: Foo3 a -> Type)+ instance SingKind a => SingKind (Foo3 a) where+ type Demote (Foo3 a) = Foo3 (Demote a)+ fromSing (SMkFoo3 b) = MkFoo3 (fromSing b)+ toSing (MkFoo3 (b :: Demote x))+ = case toSing b :: SomeSing x of {+ SomeSing c -> SomeSing (SMkFoo3 c) }+ instance SingI n => SingI (MkFoo1 (n :: a)) where+ sing = SMkFoo1 sing+ instance SingI (MkFoo1Sym0 :: (~>) a (Foo1 a)) where+ sing = (singFun1 @MkFoo1Sym0) SMkFoo1+ instance SingI (TyCon1 MkFoo1 :: (~>) a (Foo1 a)) where+ sing = (singFun1 @(TyCon1 MkFoo1)) SMkFoo1+ instance SingI n => SingI (MkFoo2 (n :: x)) where+ sing = SMkFoo2 sing+ instance SingI (MkFoo2Sym0 :: (~>) x (Foo2 x)) where+ sing = (singFun1 @MkFoo2Sym0) SMkFoo2+ instance SingI (TyCon1 MkFoo2 :: (~>) x (Foo2 x)) where+ sing = (singFun1 @(TyCon1 MkFoo2)) SMkFoo2+ instance SingI n => SingI (MkFoo3 (n :: x)) where+ sing = SMkFoo3 sing+ instance SingI (MkFoo3Sym0 :: (~>) x (Foo3 x)) where+ sing = (singFun1 @MkFoo3Sym0) SMkFoo3+ instance SingI (TyCon1 MkFoo3 :: (~>) x (Foo3 x)) where+ sing = (singFun1 @(TyCon1 MkFoo3)) SMkFoo3
− tests/compile-and-dump/Singletons/T271.ghc84.template
@@ -1,179 +0,0 @@-Singletons/T271.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| newtype Constant (a :: Type) (b :: Type)- = Constant a- deriving (Eq, Ord)- data Identity :: Type -> Type- where Identity :: a -> Identity a- deriving (Eq, Ord) |]- ======>- newtype Constant (a :: Type) (b :: Type)- = Constant a- deriving (Eq, Ord)- data Identity :: Type -> Type- where Identity :: a -> Identity a- deriving (Eq, Ord)- type ConstantSym1 (t :: a0123456789876543210) = Constant t- instance SuppressUnusedWarnings ConstantSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) ConstantSym0KindInference) GHC.Tuple.())- data ConstantSym0 (l :: TyFun a0123456789876543210 (Constant a0123456789876543210 b0123456789876543210))- = forall arg. SameKind (Apply ConstantSym0 arg) (ConstantSym1 arg) =>- ConstantSym0KindInference- type instance Apply ConstantSym0 l = Constant l- type IdentitySym1 (t :: a0123456789876543210) = Identity t- instance SuppressUnusedWarnings IdentitySym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) IdentitySym0KindInference) GHC.Tuple.())- data IdentitySym0 (l :: TyFun a0123456789876543210 (Identity a0123456789876543210))- = forall arg. SameKind (Apply IdentitySym0 arg) (IdentitySym1 arg) =>- IdentitySym0KindInference- type instance Apply IdentitySym0 l = Identity l- type family Compare_0123456789876543210 (a :: Constant a b) (a :: Constant a b) :: Ordering where- Compare_0123456789876543210 (Constant a_0123456789876543210) (Constant b_0123456789876543210) = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) '[])- type Compare_0123456789876543210Sym2 (t :: Constant a0123456789876543210 b0123456789876543210) (t :: Constant a0123456789876543210 b0123456789876543210) =- Compare_0123456789876543210 t t- instance SuppressUnusedWarnings Compare_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Compare_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Compare_0123456789876543210Sym1 (l :: Constant a0123456789876543210 b0123456789876543210) (l :: TyFun (Constant a0123456789876543210 b0123456789876543210) Ordering)- = forall arg. SameKind (Apply (Compare_0123456789876543210Sym1 l) arg) (Compare_0123456789876543210Sym2 l arg) =>- Compare_0123456789876543210Sym1KindInference- type instance Apply (Compare_0123456789876543210Sym1 l) l = Compare_0123456789876543210 l l- instance SuppressUnusedWarnings Compare_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Compare_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Compare_0123456789876543210Sym0 (l :: TyFun (Constant a0123456789876543210 b0123456789876543210) (TyFun (Constant a0123456789876543210 b0123456789876543210) Ordering- -> Type))- = forall arg. SameKind (Apply Compare_0123456789876543210Sym0 arg) (Compare_0123456789876543210Sym1 arg) =>- Compare_0123456789876543210Sym0KindInference- type instance Apply Compare_0123456789876543210Sym0 l = Compare_0123456789876543210Sym1 l- instance POrd (Constant a b) where- type Compare a a = Apply (Apply Compare_0123456789876543210Sym0 a) a- type family Compare_0123456789876543210 (a :: Identity a) (a :: Identity a) :: Ordering where- Compare_0123456789876543210 (Identity a_0123456789876543210) (Identity b_0123456789876543210) = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) '[])- type Compare_0123456789876543210Sym2 (t :: Identity a0123456789876543210) (t :: Identity a0123456789876543210) =- Compare_0123456789876543210 t t- instance SuppressUnusedWarnings Compare_0123456789876543210Sym1 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Compare_0123456789876543210Sym1KindInference)- GHC.Tuple.())- data Compare_0123456789876543210Sym1 (l :: Identity a0123456789876543210) (l :: TyFun (Identity a0123456789876543210) Ordering)- = forall arg. SameKind (Apply (Compare_0123456789876543210Sym1 l) arg) (Compare_0123456789876543210Sym2 l arg) =>- Compare_0123456789876543210Sym1KindInference- type instance Apply (Compare_0123456789876543210Sym1 l) l = Compare_0123456789876543210 l l- instance SuppressUnusedWarnings Compare_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,) Compare_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Compare_0123456789876543210Sym0 (l :: TyFun (Identity a0123456789876543210) (TyFun (Identity a0123456789876543210) Ordering- -> Type))- = forall arg. SameKind (Apply Compare_0123456789876543210Sym0 arg) (Compare_0123456789876543210Sym1 arg) =>- Compare_0123456789876543210Sym0KindInference- type instance Apply Compare_0123456789876543210Sym0 l = Compare_0123456789876543210Sym1 l- instance POrd (Identity a) where- type Compare a a = Apply (Apply Compare_0123456789876543210Sym0 a) a- type family Equals_0123456789876543210 (a :: Constant a b) (b :: Constant a b) :: Bool where- Equals_0123456789876543210 (Constant a) (Constant b) = (==) a b- Equals_0123456789876543210 (_ :: Constant a b) (_ :: Constant a b) = FalseSym0- instance PEq (Constant a b) where- type (==) a b = Equals_0123456789876543210 a b- type family Equals_0123456789876543210 (a :: Identity a) (b :: Identity a) :: Bool where- Equals_0123456789876543210 (Identity a) (Identity b) = (==) a b- Equals_0123456789876543210 (_ :: Identity a) (_ :: Identity a) = FalseSym0- instance PEq (Identity a) where- type (==) a b = Equals_0123456789876543210 a b- data instance Sing (z :: Constant a b)- where- SConstant :: forall (n :: a). (Sing (n :: a)) -> Sing (Constant n)- type SConstant = (Sing :: Constant a b -> Type)- instance (SingKind a, SingKind b) => SingKind (Constant a b) where- type Demote (Constant a b) = Constant (Demote a) (Demote b)- fromSing (SConstant b) = Constant (fromSing b)- toSing (Constant (b :: Demote a))- = case toSing b :: SomeSing a of {- SomeSing c -> SomeSing (SConstant c) }- data instance Sing (z :: Identity a)- where- SIdentity :: forall (n :: a). (Sing (n :: a)) -> Sing (Identity n)- type SIdentity = (Sing :: Identity a -> Type)- instance SingKind a => SingKind (Identity a) where- type Demote (Identity a) = Identity (Demote a)- fromSing (SIdentity b) = Identity (fromSing b)- toSing (Identity (b :: Demote a))- = case toSing b :: SomeSing a of {- SomeSing c -> SomeSing (SIdentity c) }- instance SOrd a => SOrd (Constant a b) where- sCompare ::- forall (t1 :: Constant a b) (t2 :: Constant a b).- Sing t1- -> Sing t2- -> Sing (Apply (Apply (CompareSym0 :: TyFun (Constant a b) (TyFun (Constant a b) Ordering- -> Type)- -> Type) t1) t2)- sCompare- (SConstant (sA_0123456789876543210 :: Sing a_0123456789876543210))- (SConstant (sB_0123456789876543210 :: Sing b_0123456789876543210))- = (applySing- ((applySing- ((applySing ((singFun3 @FoldlSym0) sFoldl))- ((singFun2 @ThenCmpSym0) sThenCmp)))- SEQ))- ((applySing- ((applySing- ((singFun2 @(:@#@$)) Data.Singletons.Prelude.Instances.SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- Data.Singletons.Prelude.Instances.SNil)- instance SOrd a => SOrd (Identity a) where- sCompare ::- forall (t1 :: Identity a) (t2 :: Identity a).- Sing t1- -> Sing t2- -> Sing (Apply (Apply (CompareSym0 :: TyFun (Identity a) (TyFun (Identity a) Ordering- -> Type)- -> Type) t1) t2)- sCompare- (SIdentity (sA_0123456789876543210 :: Sing a_0123456789876543210))- (SIdentity (sB_0123456789876543210 :: Sing b_0123456789876543210))- = (applySing- ((applySing- ((applySing ((singFun3 @FoldlSym0) sFoldl))- ((singFun2 @ThenCmpSym0) sThenCmp)))- SEQ))- ((applySing- ((applySing- ((singFun2 @(:@#@$)) Data.Singletons.Prelude.Instances.SCons))- ((applySing- ((applySing ((singFun2 @CompareSym0) sCompare))- sA_0123456789876543210))- sB_0123456789876543210)))- Data.Singletons.Prelude.Instances.SNil)- instance SEq a => SEq (Constant a b) where- (%==) (SConstant a) (SConstant b) = ((%==) a) b- instance SDecide a => SDecide (Constant a b) where- (%~) (SConstant a) (SConstant b)- = case ((%~) a) b of- Proved Refl -> Proved Refl- Disproved contra- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- instance SEq a => SEq (Identity a) where- (%==) (SIdentity a) (SIdentity b) = ((%==) a) b- instance SDecide a => SDecide (Identity a) where- (%~) (SIdentity a) (SIdentity b)- = case ((%~) a) b of- Proved Refl -> Proved Refl- Disproved contra- -> Disproved (\ refl -> case refl of { Refl -> contra Refl })- instance SingI n => SingI (Constant (n :: a)) where- sing = SConstant sing- instance SingI n => SingI (Identity (n :: a)) where- sing = SIdentity sing
+ tests/compile-and-dump/Singletons/T271.ghc86.template view
@@ -0,0 +1,199 @@+Singletons/T271.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| newtype Constant (a :: Type) (b :: Type)+ = Constant a+ deriving (Eq, Ord)+ data Identity :: Type -> Type+ where Identity :: a -> Identity a+ deriving (Eq, Ord) |]+ ======>+ newtype Constant (a :: Type) (b :: Type)+ = Constant a+ deriving (Eq, Ord)+ data Identity :: Type -> Type+ where Identity :: a -> Identity a+ deriving (Eq, Ord)+ type ConstantSym1 (t0123456789876543210 :: a0123456789876543210) =+ Constant t0123456789876543210+ instance SuppressUnusedWarnings ConstantSym0 where+ suppressUnusedWarnings = snd (((,) ConstantSym0KindInference) ())+ data ConstantSym0 :: forall (a0123456789876543210 :: Type)+ (b0123456789876543210 :: Type).+ (~>) a0123456789876543210 (Constant (a0123456789876543210 :: Type) (b0123456789876543210 :: Type))+ where+ ConstantSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply ConstantSym0 arg) (ConstantSym1 arg) =>+ ConstantSym0 t0123456789876543210+ type instance Apply ConstantSym0 t0123456789876543210 = Constant t0123456789876543210+ type IdentitySym1 (t0123456789876543210 :: a0123456789876543210) =+ Identity t0123456789876543210+ instance SuppressUnusedWarnings IdentitySym0 where+ suppressUnusedWarnings = snd (((,) IdentitySym0KindInference) ())+ data IdentitySym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 (Identity a0123456789876543210)+ where+ IdentitySym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply IdentitySym0 arg) (IdentitySym1 arg) =>+ IdentitySym0 t0123456789876543210+ type instance Apply IdentitySym0 t0123456789876543210 = Identity t0123456789876543210+ type family Compare_0123456789876543210 (a :: Constant a b) (a :: Constant a b) :: Ordering where+ Compare_0123456789876543210 (Constant a_0123456789876543210) (Constant b_0123456789876543210) = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) '[])+ type Compare_0123456789876543210Sym2 (a0123456789876543210 :: Constant a0123456789876543210 b0123456789876543210) (a0123456789876543210 :: Constant a0123456789876543210 b0123456789876543210) =+ Compare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Compare_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Compare_0123456789876543210Sym1KindInference) ())+ data Compare_0123456789876543210Sym1 (a0123456789876543210 :: Constant a0123456789876543210 b0123456789876543210) :: (~>) (Constant a0123456789876543210 b0123456789876543210) Ordering+ where+ Compare_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Compare_0123456789876543210Sym1 a0123456789876543210) arg) (Compare_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Compare_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Compare_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = Compare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Compare_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Compare_0123456789876543210Sym0KindInference) ())+ data Compare_0123456789876543210Sym0 :: forall a0123456789876543210+ b0123456789876543210.+ (~>) (Constant a0123456789876543210 b0123456789876543210) ((~>) (Constant a0123456789876543210 b0123456789876543210) Ordering)+ where+ Compare_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Compare_0123456789876543210Sym0 arg) (Compare_0123456789876543210Sym1 arg) =>+ Compare_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Compare_0123456789876543210Sym0 a0123456789876543210 = Compare_0123456789876543210Sym1 a0123456789876543210+ instance POrd (Constant a b) where+ type Compare a a = Apply (Apply Compare_0123456789876543210Sym0 a) a+ type family Compare_0123456789876543210 (a :: Identity a) (a :: Identity a) :: Ordering where+ Compare_0123456789876543210 (Identity a_0123456789876543210) (Identity b_0123456789876543210) = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) '[])+ type Compare_0123456789876543210Sym2 (a0123456789876543210 :: Identity a0123456789876543210) (a0123456789876543210 :: Identity a0123456789876543210) =+ Compare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Compare_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Compare_0123456789876543210Sym1KindInference) ())+ data Compare_0123456789876543210Sym1 (a0123456789876543210 :: Identity a0123456789876543210) :: (~>) (Identity a0123456789876543210) Ordering+ where+ Compare_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Compare_0123456789876543210Sym1 a0123456789876543210) arg) (Compare_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Compare_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Compare_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = Compare_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Compare_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Compare_0123456789876543210Sym0KindInference) ())+ data Compare_0123456789876543210Sym0 :: forall a0123456789876543210.+ (~>) (Identity a0123456789876543210) ((~>) (Identity a0123456789876543210) Ordering)+ where+ Compare_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Compare_0123456789876543210Sym0 arg) (Compare_0123456789876543210Sym1 arg) =>+ Compare_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Compare_0123456789876543210Sym0 a0123456789876543210 = Compare_0123456789876543210Sym1 a0123456789876543210+ instance POrd (Identity a) where+ type Compare a a = Apply (Apply Compare_0123456789876543210Sym0 a) a+ type family Equals_0123456789876543210 (a :: Constant a b) (b :: Constant a b) :: Bool where+ Equals_0123456789876543210 (Constant a) (Constant b) = (==) a b+ Equals_0123456789876543210 (_ :: Constant a b) (_ :: Constant a b) = FalseSym0+ instance PEq (Constant a b) where+ type (==) a b = Equals_0123456789876543210 a b+ type family Equals_0123456789876543210 (a :: Identity a) (b :: Identity a) :: Bool where+ Equals_0123456789876543210 (Identity a) (Identity b) = (==) a b+ Equals_0123456789876543210 (_ :: Identity a) (_ :: Identity a) = FalseSym0+ instance PEq (Identity a) where+ type (==) a b = Equals_0123456789876543210 a b+ data instance Sing :: Constant a b -> Type+ where+ SConstant :: forall a (n :: a).+ (Sing (n :: a)) -> Sing (Constant n)+ type SConstant = (Sing :: Constant a b -> Type)+ instance (SingKind a, SingKind b) => SingKind (Constant a b) where+ type Demote (Constant a b) = Constant (Demote a) (Demote b)+ fromSing (SConstant b) = Constant (fromSing b)+ toSing (Constant (b :: Demote a))+ = case toSing b :: SomeSing a of {+ SomeSing c -> SomeSing (SConstant c) }+ data instance Sing :: Identity a -> Type+ where+ SIdentity :: forall a (n :: a).+ (Sing (n :: a)) -> Sing (Identity n)+ type SIdentity = (Sing :: Identity a -> Type)+ instance SingKind a => SingKind (Identity a) where+ type Demote (Identity a) = Identity (Demote a)+ fromSing (SIdentity b) = Identity (fromSing b)+ toSing (Identity (b :: Demote a))+ = case toSing b :: SomeSing a of {+ SomeSing c -> SomeSing (SIdentity c) }+ instance SOrd a => SOrd (Constant a b) where+ sCompare ::+ forall (t1 :: Constant a b) (t2 :: Constant a b).+ Sing t1+ -> Sing t2+ -> Sing (Apply (Apply (CompareSym0 :: TyFun (Constant a b) ((~>) (Constant a b) Ordering)+ -> Type) t1) t2)+ sCompare+ (SConstant (sA_0123456789876543210 :: Sing a_0123456789876543210))+ (SConstant (sB_0123456789876543210 :: Sing b_0123456789876543210))+ = (applySing+ ((applySing+ ((applySing ((singFun3 @FoldlSym0) sFoldl))+ ((singFun2 @ThenCmpSym0) sThenCmp)))+ SEQ))+ ((applySing+ ((applySing+ ((singFun2 @(:@#@$))+ Data.Singletons.Prelude.Instances.SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ Data.Singletons.Prelude.Instances.SNil)+ instance SOrd a => SOrd (Identity a) where+ sCompare ::+ forall (t1 :: Identity a) (t2 :: Identity a).+ Sing t1+ -> Sing t2+ -> Sing (Apply (Apply (CompareSym0 :: TyFun (Identity a) ((~>) (Identity a) Ordering)+ -> Type) t1) t2)+ sCompare+ (SIdentity (sA_0123456789876543210 :: Sing a_0123456789876543210))+ (SIdentity (sB_0123456789876543210 :: Sing b_0123456789876543210))+ = (applySing+ ((applySing+ ((applySing ((singFun3 @FoldlSym0) sFoldl))+ ((singFun2 @ThenCmpSym0) sThenCmp)))+ SEQ))+ ((applySing+ ((applySing+ ((singFun2 @(:@#@$))+ Data.Singletons.Prelude.Instances.SCons))+ ((applySing+ ((applySing ((singFun2 @CompareSym0) sCompare))+ sA_0123456789876543210))+ sB_0123456789876543210)))+ Data.Singletons.Prelude.Instances.SNil)+ instance SEq a => SEq (Constant a b) where+ (%==) (SConstant a) (SConstant b) = ((%==) a) b+ instance SDecide a => SDecide (Constant a b) where+ (%~) (SConstant a) (SConstant b)+ = case ((%~) a) b of+ Proved Refl -> Proved Refl+ Disproved contra+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ instance SEq a => SEq (Identity a) where+ (%==) (SIdentity a) (SIdentity b) = ((%==) a) b+ instance SDecide a => SDecide (Identity a) where+ (%~) (SIdentity a) (SIdentity b)+ = case ((%~) a) b of+ Proved Refl -> Proved Refl+ Disproved contra+ -> Disproved (\ refl -> case refl of { Refl -> contra Refl })+ instance SingI n => SingI (Constant (n :: a)) where+ sing = SConstant sing+ instance SingI (ConstantSym0 :: (~>) a (Constant (a :: Type) (b :: Type))) where+ sing = (singFun1 @ConstantSym0) SConstant+ instance SingI (TyCon1 Constant :: (~>) a (Constant (a :: Type) (b :: Type))) where+ sing = (singFun1 @(TyCon1 Constant)) SConstant+ instance SingI n => SingI (Identity (n :: a)) where+ sing = SIdentity sing+ instance SingI (IdentitySym0 :: (~>) a (Identity a)) where+ sing = (singFun1 @IdentitySym0) SIdentity+ instance SingI (TyCon1 Identity :: (~>) a (Identity a)) where+ sing = (singFun1 @(TyCon1 Identity)) SIdentity
tests/compile-and-dump/Singletons/T271.hs view
@@ -1,6 +1,6 @@ module T271 where -import Data.Kind+import Data.Kind (Type) import Data.Singletons.TH $(singletons
+ tests/compile-and-dump/Singletons/T287.ghc86.template view
@@ -0,0 +1,116 @@+Singletons/T287.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| class S a where+ (<<>>) :: a -> a -> a+ + instance S b => S (a -> b) where+ f <<>> g = \ x -> f x <<>> g x |]+ ======>+ class S a where+ (<<>>) :: a -> a -> a+ instance S b => S (a -> b) where+ (<<>>) f g = \ x -> (f x <<>> g x)+ type (<<>>@#@$$$) (arg0123456789876543210 :: a0123456789876543210) (arg0123456789876543210 :: a0123456789876543210) =+ (<<>>) arg0123456789876543210 arg0123456789876543210+ instance SuppressUnusedWarnings ((<<>>@#@$$) arg0123456789876543210) where+ suppressUnusedWarnings = snd (((,) (:<<>>@#@$$###)) ())+ data (<<>>@#@$$) (arg0123456789876543210 :: a0123456789876543210) :: (~>) a0123456789876543210 a0123456789876543210+ where+ (:<<>>@#@$$###) :: forall arg0123456789876543210+ arg0123456789876543210+ arg. SameKind (Apply ((<<>>@#@$$) arg0123456789876543210) arg) ((<<>>@#@$$$) arg0123456789876543210 arg) =>+ (<<>>@#@$$) arg0123456789876543210 arg0123456789876543210+ type instance Apply ((<<>>@#@$$) arg0123456789876543210) arg0123456789876543210 = (<<>>) arg0123456789876543210 arg0123456789876543210+ instance SuppressUnusedWarnings (<<>>@#@$) where+ suppressUnusedWarnings = snd (((,) (:<<>>@#@$###)) ())+ data (<<>>@#@$) :: forall a0123456789876543210.+ (~>) a0123456789876543210 ((~>) a0123456789876543210 a0123456789876543210)+ where+ (:<<>>@#@$###) :: forall arg0123456789876543210+ arg. SameKind (Apply (<<>>@#@$) arg) ((<<>>@#@$$) arg) =>+ (<<>>@#@$) arg0123456789876543210+ type instance Apply (<<>>@#@$) arg0123456789876543210 = (<<>>@#@$$) arg0123456789876543210+ class PS (a :: GHC.Types.Type) where+ type (<<>>) (arg :: a) (arg :: a) :: a+ type family Lambda_0123456789876543210 f g t where+ Lambda_0123456789876543210 f g x = Apply (Apply (<<>>@#@$) (Apply f x)) (Apply g x)+ type Lambda_0123456789876543210Sym3 f0123456789876543210 g0123456789876543210 t0123456789876543210 =+ Lambda_0123456789876543210 f0123456789876543210 g0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym2 g0123456789876543210 f0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym2KindInference) ())+ data Lambda_0123456789876543210Sym2 f0123456789876543210 g0123456789876543210 t0123456789876543210+ where+ Lambda_0123456789876543210Sym2KindInference :: forall f0123456789876543210+ g0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym2 f0123456789876543210 g0123456789876543210) arg) (Lambda_0123456789876543210Sym3 f0123456789876543210 g0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym2 f0123456789876543210 g0123456789876543210 t0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym2 g0123456789876543210 f0123456789876543210) t0123456789876543210 = Lambda_0123456789876543210 g0123456789876543210 f0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (Lambda_0123456789876543210Sym1 f0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym1KindInference) ())+ data Lambda_0123456789876543210Sym1 f0123456789876543210 g0123456789876543210+ where+ Lambda_0123456789876543210Sym1KindInference :: forall f0123456789876543210+ g0123456789876543210+ arg. SameKind (Apply (Lambda_0123456789876543210Sym1 f0123456789876543210) arg) (Lambda_0123456789876543210Sym2 f0123456789876543210 arg) =>+ Lambda_0123456789876543210Sym1 f0123456789876543210 g0123456789876543210+ type instance Apply (Lambda_0123456789876543210Sym1 f0123456789876543210) g0123456789876543210 = Lambda_0123456789876543210Sym2 f0123456789876543210 g0123456789876543210+ instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Lambda_0123456789876543210Sym0KindInference) ())+ data Lambda_0123456789876543210Sym0 f0123456789876543210+ where+ Lambda_0123456789876543210Sym0KindInference :: forall f0123456789876543210+ arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>+ Lambda_0123456789876543210Sym0 f0123456789876543210+ type instance Apply Lambda_0123456789876543210Sym0 f0123456789876543210 = Lambda_0123456789876543210Sym1 f0123456789876543210+ type family TFHelper_0123456789876543210 (a :: (~>) a b) (a :: (~>) a b) :: (~>) a b where+ TFHelper_0123456789876543210 f g = Apply (Apply Lambda_0123456789876543210Sym0 f) g+ type TFHelper_0123456789876543210Sym2 (a0123456789876543210 :: (~>) a0123456789876543210 b0123456789876543210) (a0123456789876543210 :: (~>) a0123456789876543210 b0123456789876543210) =+ TFHelper_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (TFHelper_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) TFHelper_0123456789876543210Sym1KindInference) ())+ data TFHelper_0123456789876543210Sym1 (a0123456789876543210 :: (~>) a0123456789876543210 b0123456789876543210) :: (~>) ((~>) a0123456789876543210 b0123456789876543210) ((~>) a0123456789876543210 b0123456789876543210)+ where+ TFHelper_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (TFHelper_0123456789876543210Sym1 a0123456789876543210) arg) (TFHelper_0123456789876543210Sym2 a0123456789876543210 arg) =>+ TFHelper_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (TFHelper_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = TFHelper_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings TFHelper_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) TFHelper_0123456789876543210Sym0KindInference) ())+ data TFHelper_0123456789876543210Sym0 :: forall a0123456789876543210+ b0123456789876543210.+ (~>) ((~>) a0123456789876543210 b0123456789876543210) ((~>) ((~>) a0123456789876543210 b0123456789876543210) ((~>) a0123456789876543210 b0123456789876543210))+ where+ TFHelper_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply TFHelper_0123456789876543210Sym0 arg) (TFHelper_0123456789876543210Sym1 arg) =>+ TFHelper_0123456789876543210Sym0 a0123456789876543210+ type instance Apply TFHelper_0123456789876543210Sym0 a0123456789876543210 = TFHelper_0123456789876543210Sym1 a0123456789876543210+ instance PS ((~>) a b) where+ type (<<>>) a a = Apply (Apply TFHelper_0123456789876543210Sym0 a) a+ class SS a where+ (%<<>>) ::+ forall (t :: a) (t :: a).+ Sing t -> Sing t -> Sing (Apply (Apply (<<>>@#@$) t) t :: a)+ instance SS b => SS ((~>) a b) where+ (%<<>>) ::+ forall (t :: (~>) a b) (t :: (~>) a b).+ Sing t -> Sing t -> Sing (Apply (Apply (<<>>@#@$) t) t :: (~>) a b)+ (%<<>>) (sF :: Sing f) (sG :: Sing g)+ = (singFun1 @(Apply (Apply Lambda_0123456789876543210Sym0 f) g))+ (\ sX+ -> case sX of {+ (_ :: Sing x)+ -> (applySing+ ((applySing ((singFun2 @(<<>>@#@$)) (%<<>>))) ((applySing sF) sX)))+ ((applySing sG) sX) })+ instance SS a => SingI ((<<>>@#@$) :: (~>) a ((~>) a a)) where+ sing = (singFun2 @(<<>>@#@$)) (%<<>>)+ instance (SS a, SingI d) =>+ SingI ((<<>>@#@$$) (d :: a) :: (~>) a a) where+ sing = (singFun1 @((<<>>@#@$$) (d :: a))) ((%<<>>) (sing @d))
+ tests/compile-and-dump/Singletons/T287.hs view
@@ -0,0 +1,11 @@+module T287 where++import Data.Singletons.TH++$(singletons [d|+ class S a where+ (<<>>) :: a -> a -> a++ instance S b => S (a -> b) where+ f <<>> g = \x -> f x <<>> g x+ |])
− tests/compile-and-dump/Singletons/T29.ghc84.template
@@ -1,99 +0,0 @@-Singletons/T29.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| foo :: Bool -> Bool- foo x = not $ x- bar :: Bool -> Bool- bar x = not . not . not $ x- baz :: Bool -> Bool- baz x = not $! x- ban :: Bool -> Bool- ban x = not . not . not $! x |]- ======>- foo :: Bool -> Bool- foo x = (not $ x)- bar :: Bool -> Bool- bar x = ((not . (not . not)) $ x)- baz :: Bool -> Bool- baz x = (not $! x)- ban :: Bool -> Bool- ban x = ((not . (not . not)) $! x)- type BanSym1 (t :: Bool) = Ban t- instance SuppressUnusedWarnings BanSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) BanSym0KindInference) GHC.Tuple.())- data BanSym0 (l :: TyFun Bool Bool)- = forall arg. SameKind (Apply BanSym0 arg) (BanSym1 arg) =>- BanSym0KindInference- type instance Apply BanSym0 l = Ban l- type BazSym1 (t :: Bool) = Baz t- instance SuppressUnusedWarnings BazSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) BazSym0KindInference) GHC.Tuple.())- data BazSym0 (l :: TyFun Bool Bool)- = forall arg. SameKind (Apply BazSym0 arg) (BazSym1 arg) =>- BazSym0KindInference- type instance Apply BazSym0 l = Baz l- type BarSym1 (t :: Bool) = Bar t- instance SuppressUnusedWarnings BarSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) BarSym0KindInference) GHC.Tuple.())- data BarSym0 (l :: TyFun Bool Bool)- = forall arg. SameKind (Apply BarSym0 arg) (BarSym1 arg) =>- BarSym0KindInference- type instance Apply BarSym0 l = Bar l- type FooSym1 (t :: Bool) = Foo t- instance SuppressUnusedWarnings FooSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) FooSym0KindInference) GHC.Tuple.())- data FooSym0 (l :: TyFun Bool Bool)- = forall arg. SameKind (Apply FooSym0 arg) (FooSym1 arg) =>- FooSym0KindInference- type instance Apply FooSym0 l = Foo l- type family Ban (a :: Bool) :: Bool where- Ban x = Apply (Apply ($!@#@$) (Apply (Apply (.@#@$) NotSym0) (Apply (Apply (.@#@$) NotSym0) NotSym0))) x- type family Baz (a :: Bool) :: Bool where- Baz x = Apply (Apply ($!@#@$) NotSym0) x- type family Bar (a :: Bool) :: Bool where- Bar x = Apply (Apply ($@#@$) (Apply (Apply (.@#@$) NotSym0) (Apply (Apply (.@#@$) NotSym0) NotSym0))) x- type family Foo (a :: Bool) :: Bool where- Foo x = Apply (Apply ($@#@$) NotSym0) x- sBan ::- forall (t :: Bool). Sing t -> Sing (Apply BanSym0 t :: Bool)- sBaz ::- forall (t :: Bool). Sing t -> Sing (Apply BazSym0 t :: Bool)- sBar ::- forall (t :: Bool). Sing t -> Sing (Apply BarSym0 t :: Bool)- sFoo ::- forall (t :: Bool). Sing t -> Sing (Apply FooSym0 t :: Bool)- sBan (sX :: Sing x)- = (applySing- ((applySing ((singFun2 @($!@#@$)) (%$!)))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((singFun1 @NotSym0) sNot)))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((singFun1 @NotSym0) sNot)))- ((singFun1 @NotSym0) sNot)))))- sX- sBaz (sX :: Sing x)- = (applySing- ((applySing ((singFun2 @($!@#@$)) (%$!)))- ((singFun1 @NotSym0) sNot)))- sX- sBar (sX :: Sing x)- = (applySing- ((applySing ((singFun2 @($@#@$)) (%$)))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((singFun1 @NotSym0) sNot)))- ((applySing- ((applySing ((singFun3 @(.@#@$)) (%.)))- ((singFun1 @NotSym0) sNot)))- ((singFun1 @NotSym0) sNot)))))- sX- sFoo (sX :: Sing x)- = (applySing- ((applySing ((singFun2 @($@#@$)) (%$)))- ((singFun1 @NotSym0) sNot)))- sX
+ tests/compile-and-dump/Singletons/T29.ghc86.template view
@@ -0,0 +1,115 @@+Singletons/T29.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| foo :: Bool -> Bool+ foo x = not $ x+ bar :: Bool -> Bool+ bar x = not . not . not $ x+ baz :: Bool -> Bool+ baz x = not $! x+ ban :: Bool -> Bool+ ban x = not . not . not $! x |]+ ======>+ foo :: Bool -> Bool+ foo x = (not $ x)+ bar :: Bool -> Bool+ bar x = ((not . (not . not)) $ x)+ baz :: Bool -> Bool+ baz x = (not $! x)+ ban :: Bool -> Bool+ ban x = ((not . (not . not)) $! x)+ type BanSym1 (a0123456789876543210 :: Bool) =+ Ban a0123456789876543210+ instance SuppressUnusedWarnings BanSym0 where+ suppressUnusedWarnings = snd (((,) BanSym0KindInference) ())+ data BanSym0 :: (~>) Bool Bool+ where+ BanSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply BanSym0 arg) (BanSym1 arg) =>+ BanSym0 a0123456789876543210+ type instance Apply BanSym0 a0123456789876543210 = Ban a0123456789876543210+ type BazSym1 (a0123456789876543210 :: Bool) =+ Baz a0123456789876543210+ instance SuppressUnusedWarnings BazSym0 where+ suppressUnusedWarnings = snd (((,) BazSym0KindInference) ())+ data BazSym0 :: (~>) Bool Bool+ where+ BazSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply BazSym0 arg) (BazSym1 arg) =>+ BazSym0 a0123456789876543210+ type instance Apply BazSym0 a0123456789876543210 = Baz a0123456789876543210+ type BarSym1 (a0123456789876543210 :: Bool) =+ Bar a0123456789876543210+ instance SuppressUnusedWarnings BarSym0 where+ suppressUnusedWarnings = snd (((,) BarSym0KindInference) ())+ data BarSym0 :: (~>) Bool Bool+ where+ BarSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply BarSym0 arg) (BarSym1 arg) =>+ BarSym0 a0123456789876543210+ type instance Apply BarSym0 a0123456789876543210 = Bar a0123456789876543210+ type FooSym1 (a0123456789876543210 :: Bool) =+ Foo a0123456789876543210+ instance SuppressUnusedWarnings FooSym0 where+ suppressUnusedWarnings = snd (((,) FooSym0KindInference) ())+ data FooSym0 :: (~>) Bool Bool+ where+ FooSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply FooSym0 arg) (FooSym1 arg) =>+ FooSym0 a0123456789876543210+ type instance Apply FooSym0 a0123456789876543210 = Foo a0123456789876543210+ type family Ban (a :: Bool) :: Bool where+ Ban x = Apply (Apply ($!@#@$) (Apply (Apply (.@#@$) NotSym0) (Apply (Apply (.@#@$) NotSym0) NotSym0))) x+ type family Baz (a :: Bool) :: Bool where+ Baz x = Apply (Apply ($!@#@$) NotSym0) x+ type family Bar (a :: Bool) :: Bool where+ Bar x = Apply (Apply ($@#@$) (Apply (Apply (.@#@$) NotSym0) (Apply (Apply (.@#@$) NotSym0) NotSym0))) x+ type family Foo (a :: Bool) :: Bool where+ Foo x = Apply (Apply ($@#@$) NotSym0) x+ sBan ::+ forall (t :: Bool). Sing t -> Sing (Apply BanSym0 t :: Bool)+ sBaz ::+ forall (t :: Bool). Sing t -> Sing (Apply BazSym0 t :: Bool)+ sBar ::+ forall (t :: Bool). Sing t -> Sing (Apply BarSym0 t :: Bool)+ sFoo ::+ forall (t :: Bool). Sing t -> Sing (Apply FooSym0 t :: Bool)+ sBan (sX :: Sing x)+ = (applySing+ ((applySing ((singFun2 @($!@#@$)) (%$!)))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((singFun1 @NotSym0) sNot)))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((singFun1 @NotSym0) sNot)))+ ((singFun1 @NotSym0) sNot)))))+ sX+ sBaz (sX :: Sing x)+ = (applySing+ ((applySing ((singFun2 @($!@#@$)) (%$!)))+ ((singFun1 @NotSym0) sNot)))+ sX+ sBar (sX :: Sing x)+ = (applySing+ ((applySing ((singFun2 @($@#@$)) (%$)))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((singFun1 @NotSym0) sNot)))+ ((applySing+ ((applySing ((singFun3 @(.@#@$)) (%.)))+ ((singFun1 @NotSym0) sNot)))+ ((singFun1 @NotSym0) sNot)))))+ sX+ sFoo (sX :: Sing x)+ = (applySing+ ((applySing ((singFun2 @($@#@$)) (%$)))+ ((singFun1 @NotSym0) sNot)))+ sX+ instance SingI (BanSym0 :: (~>) Bool Bool) where+ sing = (singFun1 @BanSym0) sBan+ instance SingI (BazSym0 :: (~>) Bool Bool) where+ sing = (singFun1 @BazSym0) sBaz+ instance SingI (BarSym0 :: (~>) Bool Bool) where+ sing = (singFun1 @BarSym0) sBar+ instance SingI (FooSym0 :: (~>) Bool Bool) where+ sing = (singFun1 @FooSym0) sFoo
+ tests/compile-and-dump/Singletons/T297.ghc86.template view
@@ -0,0 +1,59 @@+Singletons/T297.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| f MyProxy+ = let+ x = let+ z :: MyProxy a+ z = MyProxy+ in z+ in x+ + data MyProxy (a :: Type) = MyProxy |]+ ======>+ data MyProxy (a :: Type) = MyProxy+ f MyProxy+ = let+ x = let+ z :: MyProxy a+ z = MyProxy+ in z+ in x+ type MyProxySym0 = MyProxy+ type Let0123456789876543210ZSym0 = Let0123456789876543210Z+ type family Let0123456789876543210Z :: MyProxy a where+ Let0123456789876543210Z = MyProxySym0+ type Let0123456789876543210XSym0 = Let0123456789876543210X+ type family Let0123456789876543210X where+ Let0123456789876543210X = Let0123456789876543210ZSym0+ type FSym1 a0123456789876543210 = F a0123456789876543210+ instance SuppressUnusedWarnings FSym0 where+ suppressUnusedWarnings = snd (((,) FSym0KindInference) ())+ data FSym0 a0123456789876543210+ where+ FSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply FSym0 arg) (FSym1 arg) =>+ FSym0 a0123456789876543210+ type instance Apply FSym0 a0123456789876543210 = F a0123456789876543210+ type family F a where+ F MyProxy = Let0123456789876543210XSym0+ sF :: forall arg. Sing arg -> Sing (Apply FSym0 arg)+ sF SMyProxy+ = let+ sX :: Sing Let0123456789876543210XSym0+ sX+ = let+ sZ :: forall a. Sing (Let0123456789876543210ZSym0 :: MyProxy a)+ sZ = SMyProxy+ in sZ+ in sX+ instance SingI FSym0 where+ sing = (singFun1 @FSym0) sF+ data instance Sing :: MyProxy a -> Type+ where SMyProxy :: Sing MyProxy+ type SMyProxy = (Sing :: MyProxy a -> Type)+ instance SingKind a => SingKind (MyProxy a) where+ type Demote (MyProxy a) = MyProxy (Demote a)+ fromSing SMyProxy = MyProxy+ toSing MyProxy = SomeSing SMyProxy+ instance SingI MyProxy where+ sing = SMyProxy
+ tests/compile-and-dump/Singletons/T297.hs view
@@ -0,0 +1,13 @@+module T297 where++import Data.Kind+import Data.Singletons.TH++$(singletons [d|+ data MyProxy (a :: Type) = MyProxy++ f MyProxy =+ let x = let z :: MyProxy a -- When singled, this `a` should be explicitly quantified+ z = MyProxy in z+ in x+ |])
+ tests/compile-and-dump/Singletons/T312.ghc86.template view
@@ -0,0 +1,215 @@+Singletons/T312.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| class Foo a where+ bar :: a -> b -> b+ bar _ x = x+ baz :: forall b. a -> b -> b+ baz+ = h+ where+ h :: forall c. c -> b -> b+ h _ x = x |]+ ======>+ class Foo a where+ bar :: a -> b -> b+ baz :: forall b. a -> b -> b+ bar _ x = x+ baz+ = h+ where+ h :: forall c. c -> b -> b+ h _ x = x+ type BarSym2 (arg0123456789876543210 :: a0123456789876543210) (arg0123456789876543210 :: b0123456789876543210) =+ Bar arg0123456789876543210 arg0123456789876543210+ instance SuppressUnusedWarnings (BarSym1 arg0123456789876543210) where+ suppressUnusedWarnings = snd (((,) BarSym1KindInference) ())+ data BarSym1 (arg0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210.+ (~>) b0123456789876543210 b0123456789876543210+ where+ BarSym1KindInference :: forall arg0123456789876543210+ arg0123456789876543210+ arg. SameKind (Apply (BarSym1 arg0123456789876543210) arg) (BarSym2 arg0123456789876543210 arg) =>+ BarSym1 arg0123456789876543210 arg0123456789876543210+ type instance Apply (BarSym1 arg0123456789876543210) arg0123456789876543210 = Bar arg0123456789876543210 arg0123456789876543210+ instance SuppressUnusedWarnings BarSym0 where+ suppressUnusedWarnings = snd (((,) BarSym0KindInference) ())+ data BarSym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) a0123456789876543210 ((~>) b0123456789876543210 b0123456789876543210)+ where+ BarSym0KindInference :: forall arg0123456789876543210+ arg. SameKind (Apply BarSym0 arg) (BarSym1 arg) =>+ BarSym0 arg0123456789876543210+ type instance Apply BarSym0 arg0123456789876543210 = BarSym1 arg0123456789876543210+ type BazSym2 (arg0123456789876543210 :: a0123456789876543210) (arg0123456789876543210 :: b0123456789876543210) =+ Baz arg0123456789876543210 arg0123456789876543210+ instance SuppressUnusedWarnings (BazSym1 arg0123456789876543210) where+ suppressUnusedWarnings = snd (((,) BazSym1KindInference) ())+ data BazSym1 (arg0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210.+ (~>) b0123456789876543210 b0123456789876543210+ where+ BazSym1KindInference :: forall arg0123456789876543210+ arg0123456789876543210+ arg. SameKind (Apply (BazSym1 arg0123456789876543210) arg) (BazSym2 arg0123456789876543210 arg) =>+ BazSym1 arg0123456789876543210 arg0123456789876543210+ type instance Apply (BazSym1 arg0123456789876543210) arg0123456789876543210 = Baz arg0123456789876543210 arg0123456789876543210+ instance SuppressUnusedWarnings BazSym0 where+ suppressUnusedWarnings = snd (((,) BazSym0KindInference) ())+ data BazSym0 :: forall a0123456789876543210 b0123456789876543210.+ (~>) a0123456789876543210 ((~>) b0123456789876543210 b0123456789876543210)+ where+ BazSym0KindInference :: forall arg0123456789876543210+ arg. SameKind (Apply BazSym0 arg) (BazSym1 arg) =>+ BazSym0 arg0123456789876543210+ type instance Apply BazSym0 arg0123456789876543210 = BazSym1 arg0123456789876543210+ type family Bar_0123456789876543210 (a :: a) (a :: b) :: b where+ Bar_0123456789876543210 _ x = x+ type Bar_0123456789876543210Sym2 (a0123456789876543210 :: a0123456789876543210) (a0123456789876543210 :: b0123456789876543210) =+ Bar_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Bar_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Bar_0123456789876543210Sym1KindInference) ())+ data Bar_0123456789876543210Sym1 (a0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210.+ (~>) b0123456789876543210 b0123456789876543210+ where+ Bar_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Bar_0123456789876543210Sym1 a0123456789876543210) arg) (Bar_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Bar_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Bar_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = Bar_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Bar_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Bar_0123456789876543210Sym0KindInference) ())+ data Bar_0123456789876543210Sym0 :: forall a0123456789876543210+ b0123456789876543210.+ (~>) a0123456789876543210 ((~>) b0123456789876543210 b0123456789876543210)+ where+ Bar_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Bar_0123456789876543210Sym0 arg) (Bar_0123456789876543210Sym1 arg) =>+ Bar_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Bar_0123456789876543210Sym0 a0123456789876543210 = Bar_0123456789876543210Sym1 a0123456789876543210+ type Let0123456789876543210HSym4 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 (a0123456789876543210 :: c0123456789876543210) (a0123456789876543210 :: b0123456789876543210) =+ Let0123456789876543210H a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Let0123456789876543210HSym3 a0123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210HSym3KindInference) ())+ data Let0123456789876543210HSym3 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 (a0123456789876543210 :: c0123456789876543210) :: forall b0123456789876543210.+ (~>) b0123456789876543210 b0123456789876543210+ where+ Let0123456789876543210HSym3KindInference :: forall a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Let0123456789876543210HSym3 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a0123456789876543210) arg) (Let0123456789876543210HSym4 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a0123456789876543210 arg) =>+ Let0123456789876543210HSym3 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a0123456789876543210 a0123456789876543210+ type instance Apply (Let0123456789876543210HSym3 a0123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) a0123456789876543210 = Let0123456789876543210H a0123456789876543210 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Let0123456789876543210HSym2 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210HSym2KindInference) ())+ data Let0123456789876543210HSym2 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 :: forall b0123456789876543210+ c0123456789876543210.+ (~>) c0123456789876543210 ((~>) b0123456789876543210 b0123456789876543210)+ where+ Let0123456789876543210HSym2KindInference :: forall a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Let0123456789876543210HSym2 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) arg) (Let0123456789876543210HSym3 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 arg) =>+ Let0123456789876543210HSym2 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a0123456789876543210+ type instance Apply (Let0123456789876543210HSym2 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210) a0123456789876543210 = Let0123456789876543210HSym3 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Let0123456789876543210HSym1 a_01234567898765432100123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210HSym1KindInference) ())+ data Let0123456789876543210HSym1 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ where+ Let0123456789876543210HSym1KindInference :: forall a_01234567898765432100123456789876543210+ a_01234567898765432100123456789876543210+ arg. SameKind (Apply (Let0123456789876543210HSym1 a_01234567898765432100123456789876543210) arg) (Let0123456789876543210HSym2 a_01234567898765432100123456789876543210 arg) =>+ Let0123456789876543210HSym1 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ type instance Apply (Let0123456789876543210HSym1 a_01234567898765432100123456789876543210) a_01234567898765432100123456789876543210 = Let0123456789876543210HSym2 a_01234567898765432100123456789876543210 a_01234567898765432100123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210HSym0 where+ suppressUnusedWarnings+ = snd (((,) Let0123456789876543210HSym0KindInference) ())+ data Let0123456789876543210HSym0 a_01234567898765432100123456789876543210+ where+ Let0123456789876543210HSym0KindInference :: forall a_01234567898765432100123456789876543210+ arg. SameKind (Apply Let0123456789876543210HSym0 arg) (Let0123456789876543210HSym1 arg) =>+ Let0123456789876543210HSym0 a_01234567898765432100123456789876543210+ type instance Apply Let0123456789876543210HSym0 a_01234567898765432100123456789876543210 = Let0123456789876543210HSym1 a_01234567898765432100123456789876543210+ type family Let0123456789876543210H a_0123456789876543210 a_0123456789876543210 (a :: c) (a :: b) :: b where+ Let0123456789876543210H a_0123456789876543210 a_0123456789876543210 _ x = x+ type family Baz_0123456789876543210 (a :: a) (a :: b) :: b where+ Baz_0123456789876543210 a_0123456789876543210 a_0123456789876543210 = Apply (Apply (Let0123456789876543210HSym2 a_0123456789876543210 a_0123456789876543210) a_0123456789876543210) a_0123456789876543210+ type Baz_0123456789876543210Sym2 (a0123456789876543210 :: a0123456789876543210) (a0123456789876543210 :: b0123456789876543210) =+ Baz_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (Baz_0123456789876543210Sym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) Baz_0123456789876543210Sym1KindInference) ())+ data Baz_0123456789876543210Sym1 (a0123456789876543210 :: a0123456789876543210) :: forall b0123456789876543210.+ (~>) b0123456789876543210 b0123456789876543210+ where+ Baz_0123456789876543210Sym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (Baz_0123456789876543210Sym1 a0123456789876543210) arg) (Baz_0123456789876543210Sym2 a0123456789876543210 arg) =>+ Baz_0123456789876543210Sym1 a0123456789876543210 a0123456789876543210+ type instance Apply (Baz_0123456789876543210Sym1 a0123456789876543210) a0123456789876543210 = Baz_0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Baz_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Baz_0123456789876543210Sym0KindInference) ())+ data Baz_0123456789876543210Sym0 :: forall a0123456789876543210+ b0123456789876543210.+ (~>) a0123456789876543210 ((~>) b0123456789876543210 b0123456789876543210)+ where+ Baz_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Baz_0123456789876543210Sym0 arg) (Baz_0123456789876543210Sym1 arg) =>+ Baz_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Baz_0123456789876543210Sym0 a0123456789876543210 = Baz_0123456789876543210Sym1 a0123456789876543210+ class PFoo (a :: GHC.Types.Type) where+ type Bar (arg :: a) (arg :: b) :: b+ type Baz (arg :: a) (arg :: b) :: b+ type Bar a a = Apply (Apply Bar_0123456789876543210Sym0 a) a+ type Baz a a = Apply (Apply Baz_0123456789876543210Sym0 a) a+ class SFoo a where+ sBar ::+ forall b (t :: a) (t :: b).+ Sing t -> Sing t -> Sing (Apply (Apply BarSym0 t) t :: b)+ sBaz ::+ forall b (t :: a) (t :: b).+ Sing t -> Sing t -> Sing (Apply (Apply BazSym0 t) t :: b)+ default sBar ::+ forall b (t :: a) (t :: b).+ (Apply (Apply BarSym0 t) t :: b)+ ~ Apply (Apply Bar_0123456789876543210Sym0 t) t =>+ Sing t -> Sing t -> Sing (Apply (Apply BarSym0 t) t :: b)+ default sBaz ::+ forall b (t :: a) (t :: b).+ (Apply (Apply BazSym0 t) t :: b)+ ~ Apply (Apply Baz_0123456789876543210Sym0 t) t =>+ Sing t -> Sing t -> Sing (Apply (Apply BazSym0 t) t :: b)+ sBar _ (sX :: Sing x) = sX+ sBaz+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing+ (let+ sH ::+ forall c (t :: c) (t :: b).+ Sing t+ -> Sing t+ -> Sing (Apply (Apply (Let0123456789876543210HSym2 a_0123456789876543210 a_0123456789876543210) t) t :: b)+ sH _ (sX :: Sing x) = sX+ in+ (singFun2+ @(Let0123456789876543210HSym2 a_0123456789876543210 a_0123456789876543210))+ sH))+ sA_0123456789876543210))+ sA_0123456789876543210+ instance SFoo a => SingI (BarSym0 :: (~>) a ((~>) b b)) where+ sing = (singFun2 @BarSym0) sBar+ instance (SFoo a, SingI d) =>+ SingI (BarSym1 (d :: a) :: (~>) b b) where+ sing = (singFun1 @(BarSym1 (d :: a))) (sBar (sing @d))+ instance SFoo a => SingI (BazSym0 :: (~>) a ((~>) b b)) where+ sing = (singFun2 @BazSym0) sBaz+ instance (SFoo a, SingI d) =>+ SingI (BazSym1 (d :: a) :: (~>) b b) where+ sing = (singFun1 @(BazSym1 (d :: a))) (sBaz (sing @d))
+ tests/compile-and-dump/Singletons/T312.hs view
@@ -0,0 +1,14 @@+module T312 where++import Data.Singletons.TH++$(singletons [d|+ class Foo a where+ bar :: a -> b -> b+ bar _ x = x++ baz :: forall b. a -> b -> b+ baz = h where+ h :: forall c. c -> b -> b+ h _ x = x+ |])
+ tests/compile-and-dump/Singletons/T313.ghc86.template view
@@ -0,0 +1,130 @@+Singletons/T313.hs:(0,0)-(0,0): Splicing declarations+ promote+ [d| type PFoo1 a = Maybe a+ type family PFoo2 a+ type family PFoo3 a where+ PFoo3 a = Maybe a+ class PC (a :: Type) where+ type PFoo4 a+ type PFoo4 a = Maybe a+ + type instance PFoo2 a = Maybe a+ instance PC a where+ type PFoo4 a = Maybe a |]+ ======>+ type PFoo1 a = Maybe a+ type family PFoo2 a+ type instance PFoo2 a = Maybe a+ type family PFoo3 a where+ PFoo3 a = Maybe a+ class PC (a :: Type) where+ type PFoo4 a+ type PFoo4 a = Maybe a+ instance PC a where+ type PFoo4 a = Maybe a+ type PFoo1Sym1 a0123456789876543210 = PFoo1 a0123456789876543210+ instance SuppressUnusedWarnings PFoo1Sym0 where+ suppressUnusedWarnings = snd (((,) PFoo1Sym0KindInference) ())+ data PFoo1Sym0 a0123456789876543210+ where+ PFoo1Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply PFoo1Sym0 arg) (PFoo1Sym1 arg) =>+ PFoo1Sym0 a0123456789876543210+ type instance Apply PFoo1Sym0 a0123456789876543210 = PFoo1 a0123456789876543210+ type PFoo3Sym1 a0123456789876543210 = PFoo3 a0123456789876543210+ instance SuppressUnusedWarnings PFoo3Sym0 where+ suppressUnusedWarnings = snd (((,) PFoo3Sym0KindInference) ())+ data PFoo3Sym0 a0123456789876543210+ where+ PFoo3Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply PFoo3Sym0 arg) (PFoo3Sym1 arg) =>+ PFoo3Sym0 a0123456789876543210+ type instance Apply PFoo3Sym0 a0123456789876543210 = PFoo3 a0123456789876543210+ type PFoo2Sym1 (a0123456789876543210 :: Type) =+ PFoo2 a0123456789876543210+ instance SuppressUnusedWarnings PFoo2Sym0 where+ suppressUnusedWarnings = snd (((,) PFoo2Sym0KindInference) ())+ data PFoo2Sym0 :: (~>) Type Type+ where+ PFoo2Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply PFoo2Sym0 arg) (PFoo2Sym1 arg) =>+ PFoo2Sym0 a0123456789876543210+ type instance Apply PFoo2Sym0 a0123456789876543210 = PFoo2 a0123456789876543210+ type PFoo4Sym1 (a0123456789876543210 :: Type) =+ PFoo4 a0123456789876543210+ instance SuppressUnusedWarnings PFoo4Sym0 where+ suppressUnusedWarnings = snd (((,) PFoo4Sym0KindInference) ())+ data PFoo4Sym0 :: (~>) Type Type+ where+ PFoo4Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply PFoo4Sym0 arg) (PFoo4Sym1 arg) =>+ PFoo4Sym0 a0123456789876543210+ type instance Apply PFoo4Sym0 a0123456789876543210 = PFoo4 a0123456789876543210+ class PPC (a :: Type)+ instance PPC a+Singletons/T313.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| type SFoo1 a = Maybe a+ type family SFoo2 a+ type family SFoo3 a where+ SFoo3 a = Maybe a+ class SC (a :: Type) where+ type SFoo4 a+ type SFoo4 a = Maybe a+ + type instance SFoo2 a = Maybe a+ instance SC a where+ type SFoo4 a = Maybe a |]+ ======>+ type SFoo1 a = Maybe a+ type family SFoo2 a+ type instance SFoo2 a = Maybe a+ type family SFoo3 a where+ SFoo3 a = Maybe a+ class SC (a :: Type) where+ type SFoo4 a+ type SFoo4 a = Maybe a+ instance SC a where+ type SFoo4 a = Maybe a+ type SFoo1Sym1 a0123456789876543210 = SFoo1 a0123456789876543210+ instance SuppressUnusedWarnings SFoo1Sym0 where+ suppressUnusedWarnings = snd (((,) SFoo1Sym0KindInference) ())+ data SFoo1Sym0 a0123456789876543210+ where+ SFoo1Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply SFoo1Sym0 arg) (SFoo1Sym1 arg) =>+ SFoo1Sym0 a0123456789876543210+ type instance Apply SFoo1Sym0 a0123456789876543210 = SFoo1 a0123456789876543210+ type SFoo3Sym1 a0123456789876543210 = SFoo3 a0123456789876543210+ instance SuppressUnusedWarnings SFoo3Sym0 where+ suppressUnusedWarnings = snd (((,) SFoo3Sym0KindInference) ())+ data SFoo3Sym0 a0123456789876543210+ where+ SFoo3Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply SFoo3Sym0 arg) (SFoo3Sym1 arg) =>+ SFoo3Sym0 a0123456789876543210+ type instance Apply SFoo3Sym0 a0123456789876543210 = SFoo3 a0123456789876543210+ type SFoo2Sym1 (a0123456789876543210 :: Type) =+ SFoo2 a0123456789876543210+ instance SuppressUnusedWarnings SFoo2Sym0 where+ suppressUnusedWarnings = snd (((,) SFoo2Sym0KindInference) ())+ data SFoo2Sym0 :: (~>) Type Type+ where+ SFoo2Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply SFoo2Sym0 arg) (SFoo2Sym1 arg) =>+ SFoo2Sym0 a0123456789876543210+ type instance Apply SFoo2Sym0 a0123456789876543210 = SFoo2 a0123456789876543210+ type SFoo4Sym1 (a0123456789876543210 :: Type) =+ SFoo4 a0123456789876543210+ instance SuppressUnusedWarnings SFoo4Sym0 where+ suppressUnusedWarnings = snd (((,) SFoo4Sym0KindInference) ())+ data SFoo4Sym0 :: (~>) Type Type+ where+ SFoo4Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply SFoo4Sym0 arg) (SFoo4Sym1 arg) =>+ SFoo4Sym0 a0123456789876543210+ type instance Apply SFoo4Sym0 a0123456789876543210 = SFoo4 a0123456789876543210+ class PSC (a :: Type)+ instance PSC a+ class SSC (a :: Type)+ instance SSC a
+ tests/compile-and-dump/Singletons/T313.hs view
@@ -0,0 +1,38 @@+module T313 where++import Data.Kind+import Data.Singletons.TH++$(promote [d|+ type PFoo1 a = Maybe a++ type family PFoo2 a+ type instance PFoo2 a = Maybe a++ type family PFoo3 a where+ PFoo3 a = Maybe a++ class PC (a :: Type) where+ type PFoo4 a+ type PFoo4 a = Maybe a++ instance PC a where+ type PFoo4 a = Maybe a+ |])++$(singletons [d|+ type SFoo1 a = Maybe a++ type family SFoo2 a+ type instance SFoo2 a = Maybe a++ type family SFoo3 a where+ SFoo3 a = Maybe a++ class SC (a :: Type) where+ type SFoo4 a+ type SFoo4 a = Maybe a++ instance SC a where+ type SFoo4 a = Maybe a+ |])
+ tests/compile-and-dump/Singletons/T316.ghc86.template view
@@ -0,0 +1,40 @@+Singletons/T316.hs:(0,0)-(0,0): Splicing declarations+ promoteOnly+ [d| replaceAllGTypes :: (a -> Type -> a) -> [Type] -> [a] -> [a]+ replaceAllGTypes f types as = zipWith f as types |]+ ======>+ type ReplaceAllGTypesSym3 (a0123456789876543210 :: (~>) a0123456789876543210 ((~>) Type a0123456789876543210)) (a0123456789876543210 :: [Type]) (a0123456789876543210 :: [a0123456789876543210]) =+ ReplaceAllGTypes a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ReplaceAllGTypesSym2 a0123456789876543210 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ReplaceAllGTypesSym2KindInference) ())+ data ReplaceAllGTypesSym2 (a0123456789876543210 :: (~>) a0123456789876543210 ((~>) Type a0123456789876543210)) (a0123456789876543210 :: [Type]) :: (~>) [a0123456789876543210] [a0123456789876543210]+ where+ ReplaceAllGTypesSym2KindInference :: forall a0123456789876543210+ a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ReplaceAllGTypesSym2 a0123456789876543210 a0123456789876543210) arg) (ReplaceAllGTypesSym3 a0123456789876543210 a0123456789876543210 arg) =>+ ReplaceAllGTypesSym2 a0123456789876543210 a0123456789876543210 a0123456789876543210+ type instance Apply (ReplaceAllGTypesSym2 a0123456789876543210 a0123456789876543210) a0123456789876543210 = ReplaceAllGTypes a0123456789876543210 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings (ReplaceAllGTypesSym1 a0123456789876543210) where+ suppressUnusedWarnings+ = snd (((,) ReplaceAllGTypesSym1KindInference) ())+ data ReplaceAllGTypesSym1 (a0123456789876543210 :: (~>) a0123456789876543210 ((~>) Type a0123456789876543210)) :: (~>) [Type] ((~>) [a0123456789876543210] [a0123456789876543210])+ where+ ReplaceAllGTypesSym1KindInference :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply (ReplaceAllGTypesSym1 a0123456789876543210) arg) (ReplaceAllGTypesSym2 a0123456789876543210 arg) =>+ ReplaceAllGTypesSym1 a0123456789876543210 a0123456789876543210+ type instance Apply (ReplaceAllGTypesSym1 a0123456789876543210) a0123456789876543210 = ReplaceAllGTypesSym2 a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ReplaceAllGTypesSym0 where+ suppressUnusedWarnings+ = snd (((,) ReplaceAllGTypesSym0KindInference) ())+ data ReplaceAllGTypesSym0 :: forall a0123456789876543210.+ (~>) ((~>) a0123456789876543210 ((~>) Type a0123456789876543210)) ((~>) [Type] ((~>) [a0123456789876543210] [a0123456789876543210]))+ where+ ReplaceAllGTypesSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply ReplaceAllGTypesSym0 arg) (ReplaceAllGTypesSym1 arg) =>+ ReplaceAllGTypesSym0 a0123456789876543210+ type instance Apply ReplaceAllGTypesSym0 a0123456789876543210 = ReplaceAllGTypesSym1 a0123456789876543210+ type family ReplaceAllGTypes (a :: (~>) a ((~>) Type a)) (a :: [Type]) (a :: [a]) :: [a] where+ ReplaceAllGTypes f types as = Apply (Apply (Apply ZipWithSym0 f) as) types
+ tests/compile-and-dump/Singletons/T316.hs view
@@ -0,0 +1,10 @@+module T316 where++import Data.Kind+import Data.Singletons.Prelude+import Data.Singletons.TH++$(promoteOnly [d|+ replaceAllGTypes :: (a -> Type -> a) -> [Type] -> [a] -> [a]+ replaceAllGTypes f types as = zipWith f as types+ |])
+ tests/compile-and-dump/Singletons/T322.ghc86.template view
@@ -0,0 +1,49 @@+Singletons/T322.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| infixr 2 !+ + (!) :: Bool -> Bool -> Bool+ (!) = (||) |]+ ======>+ (!) :: Bool -> Bool -> Bool+ (!) = (||)+ infixr 2 !+ type (!@#@$$$) (a0123456789876543210 :: Bool) (a0123456789876543210 :: Bool) =+ (:!) a0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings ((!@#@$$) a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) (:!@#@$$###)) ())+ data (!@#@$$) (a0123456789876543210 :: Bool) :: (~>) Bool Bool+ where+ (:!@#@$$###) :: forall a0123456789876543210+ a0123456789876543210+ arg. SameKind (Apply ((!@#@$$) a0123456789876543210) arg) ((!@#@$$$) a0123456789876543210 arg) =>+ (!@#@$$) a0123456789876543210 a0123456789876543210+ type instance Apply ((!@#@$$) a0123456789876543210) a0123456789876543210 = (:!) a0123456789876543210 a0123456789876543210+ infixr 2 !@#@$$+ instance SuppressUnusedWarnings (!@#@$) where+ suppressUnusedWarnings = snd (((,) (:!@#@$###)) ())+ data (!@#@$) :: (~>) Bool ((~>) Bool Bool)+ where+ (:!@#@$###) :: forall a0123456789876543210+ arg. SameKind (Apply (!@#@$) arg) ((!@#@$$) arg) =>+ (!@#@$) a0123456789876543210+ type instance Apply (!@#@$) a0123456789876543210 = (!@#@$$) a0123456789876543210+ infixr 2 !@#@$+ type family (:!) (a :: Bool) (a :: Bool) :: Bool where+ (:!) a_0123456789876543210 a_0123456789876543210 = Apply (Apply (||@#@$) a_0123456789876543210) a_0123456789876543210+ infixr 2 :!+ infixr 2 %!+ (%!) ::+ forall (t :: Bool) (t :: Bool).+ Sing t -> Sing t -> Sing (Apply (Apply (!@#@$) t) t :: Bool)+ (%!)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((applySing ((singFun2 @(||@#@$)) (%||))) sA_0123456789876543210))+ sA_0123456789876543210+ instance SingI ((!@#@$) :: (~>) Bool ((~>) Bool Bool)) where+ sing = (singFun2 @(!@#@$)) (%!)+ instance SingI d =>+ SingI ((!@#@$$) (d :: Bool) :: (~>) Bool Bool) where+ sing = (singFun1 @((!@#@$$) (d :: Bool))) ((%!) (sing @d))
+ tests/compile-and-dump/Singletons/T322.hs view
@@ -0,0 +1,13 @@+module T322 where++import Data.Singletons.Prelude+import Data.Singletons.TH++$(singletons [d|+ (!) :: Bool -> Bool -> Bool+ (!) = (||)+ infixr 2 !+ |])++f1 :: (False && True :! True) :~: True+f1 = Refl
+ tests/compile-and-dump/Singletons/T323.ghc86.template view
+ tests/compile-and-dump/Singletons/T323.hs view
@@ -0,0 +1,7 @@+module T323 where++import Data.Singletons.Prelude+import Data.Type.Equality++test :: f .@#@$$$ (g .@#@$$$ h) :~: f .@#@$$$ g .@#@$$$ h+test = Refl
− tests/compile-and-dump/Singletons/T33.ghc84.template
@@ -1,32 +0,0 @@-Singletons/T33.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| foo :: (Bool, Bool) -> ()- foo ~(_, _) = () |]- ======>- foo :: (Bool, Bool) -> ()- foo ~(_, _) = GHC.Tuple.()- type FooSym1 (t :: (Bool, Bool)) = Foo t- instance SuppressUnusedWarnings FooSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) FooSym0KindInference) GHC.Tuple.())- data FooSym0 (l :: TyFun (Bool, Bool) ())- = forall arg. SameKind (Apply FooSym0 arg) (FooSym1 arg) =>- FooSym0KindInference- type instance Apply FooSym0 l = Foo l- type family Foo (a :: (Bool, Bool)) :: () where- Foo '(_, _) = Tuple0Sym0- sFoo ::- forall (t :: (Bool, Bool)). Sing t -> Sing (Apply FooSym0 t :: ())- sFoo (STuple2 _ _) = STuple0--Singletons/T33.hs:0:0: warning:- Lazy pattern converted into regular pattern in promotion- |-6 | $(singletons [d|- | ^^^^^^^^^^^^^^...--Singletons/T33.hs:0:0: warning:- Lazy pattern converted into regular pattern during singleton generation.- |-6 | $(singletons [d|- | ^^^^^^^^^^^^^^...
+ tests/compile-and-dump/Singletons/T33.ghc86.template view
@@ -0,0 +1,36 @@+Singletons/T33.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| foo :: (Bool, Bool) -> ()+ foo ~(_, _) = () |]+ ======>+ foo :: (Bool, Bool) -> ()+ foo ~(_, _) = ()+ type FooSym1 (a0123456789876543210 :: (Bool, Bool)) =+ Foo a0123456789876543210+ instance SuppressUnusedWarnings FooSym0 where+ suppressUnusedWarnings = snd (((,) FooSym0KindInference) ())+ data FooSym0 :: (~>) (Bool, Bool) ()+ where+ FooSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply FooSym0 arg) (FooSym1 arg) =>+ FooSym0 a0123456789876543210+ type instance Apply FooSym0 a0123456789876543210 = Foo a0123456789876543210+ type family Foo (a :: (Bool, Bool)) :: () where+ Foo '(_, _) = Tuple0Sym0+ sFoo ::+ forall (t :: (Bool, Bool)). Sing t -> Sing (Apply FooSym0 t :: ())+ sFoo (STuple2 _ _) = STuple0+ instance SingI (FooSym0 :: (~>) (Bool, Bool) ()) where+ sing = (singFun1 @FooSym0) sFoo++Singletons/T33.hs:0:0: warning:+ Lazy pattern converted into regular pattern in promotion+ |+6 | $(singletons [d|+ | ^^^^^^^^^^^^^^...++Singletons/T33.hs:0:0: warning:+ Lazy pattern converted into regular pattern during singleton generation.+ |+6 | $(singletons [d|+ | ^^^^^^^^^^^^^^...
+ tests/compile-and-dump/Singletons/T332.ghc86.template view
@@ -0,0 +1,57 @@+Singletons/T332.hs:(0,0)-(0,0): Splicing declarations+ promote+ [d| f :: Foo -> ()+ f MkFoo {} = ()+ + data Foo = MkFoo |]+ ======>+ data Foo = MkFoo+ f :: Foo -> ()+ f MkFoo {} = ()+ type FSym1 (a0123456789876543210 :: Foo) = F a0123456789876543210+ instance SuppressUnusedWarnings FSym0 where+ suppressUnusedWarnings = snd (((,) FSym0KindInference) ())+ data FSym0 :: (~>) Foo ()+ where+ FSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply FSym0 arg) (FSym1 arg) =>+ FSym0 a0123456789876543210+ type instance Apply FSym0 a0123456789876543210 = F a0123456789876543210+ type family F (a :: Foo) :: () where+ F MkFoo = Tuple0Sym0+ type MkFooSym0 = MkFoo+Singletons/T332.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| b :: Bar -> ()+ b MkBar {} = ()+ + data Bar = MkBar |]+ ======>+ data Bar = MkBar+ b :: Bar -> ()+ b MkBar {} = ()+ type MkBarSym0 = MkBar+ type BSym1 (a0123456789876543210 :: Bar) = B a0123456789876543210+ instance SuppressUnusedWarnings BSym0 where+ suppressUnusedWarnings = snd (((,) BSym0KindInference) ())+ data BSym0 :: (~>) Bar ()+ where+ BSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply BSym0 arg) (BSym1 arg) =>+ BSym0 a0123456789876543210+ type instance Apply BSym0 a0123456789876543210 = B a0123456789876543210+ type family B (a :: Bar) :: () where+ B MkBar = Tuple0Sym0+ sB :: forall (t :: Bar). Sing t -> Sing (Apply BSym0 t :: ())+ sB SMkBar = STuple0+ instance SingI (BSym0 :: (~>) Bar ()) where+ sing = (singFun1 @BSym0) sB+ data instance Sing :: Bar -> GHC.Types.Type+ where SMkBar :: Sing MkBar+ type SBar = (Sing :: Bar -> GHC.Types.Type)+ instance SingKind Bar where+ type Demote Bar = Bar+ fromSing SMkBar = MkBar+ toSing MkBar = SomeSing SMkBar+ instance SingI MkBar where+ sing = SMkBar
+ tests/compile-and-dump/Singletons/T332.hs view
@@ -0,0 +1,17 @@+module T332 where++import Data.Singletons.TH++$(promote [d|+ data Foo = MkFoo++ f :: Foo -> ()+ f MkFoo{} = ()+ |])++$(singletons [d|+ data Bar = MkBar++ b :: Bar -> ()+ b MkBar{} = ()+ |])
+ tests/compile-and-dump/Singletons/T342.ghc86.template view
@@ -0,0 +1,17 @@+Singletons/T342.hs:(0,0)-(0,0): Splicing declarations+ do synName <- newName "MyId"+ a <- newName "a"+ let syn = TySynD synName [PlainTV a] (VarT a)+ defuns <- withLocalDeclarations [syn] $ genDefunSymbols [synName]+ pure $ syn : defuns+ ======>+ type MyId a = a+ type MyIdSym1 a0123456789876543210 = MyId a0123456789876543210+ instance SuppressUnusedWarnings MyIdSym0 where+ suppressUnusedWarnings = snd (((,) MyIdSym0KindInference) ())+ data MyIdSym0 a0123456789876543210+ where+ MyIdSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply MyIdSym0 arg) (MyIdSym1 arg) =>+ MyIdSym0 a0123456789876543210+ type instance Apply MyIdSym0 a0123456789876543210 = MyId a0123456789876543210
+ tests/compile-and-dump/Singletons/T342.hs view
@@ -0,0 +1,12 @@+module T342 where++import Data.Singletons.TH+import Language.Haskell.TH+import Language.Haskell.TH.Desugar++$(do synName <- newName "MyId"+ a <- newName "a"+ let syn = TySynD synName [PlainTV a] (VarT a)+ defuns <- withLocalDeclarations [syn] $+ genDefunSymbols [synName]+ pure $ syn:defuns)
+ tests/compile-and-dump/Singletons/T353.ghc86.template view
@@ -0,0 +1,104 @@+Singletons/T353.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| type family Symmetry (a :: Proxy t) (y :: Proxy t) (e :: (a :: Proxy (t :: k))+ :~:+ (y :: Proxy (t :: k))) :: Type where+ Symmetry a y _ = y :~: a |]+ ======>+ type family Symmetry (a :: Proxy t) (y :: Proxy t) (e :: (:~:) (a :: Proxy (t :: k)) (y :: Proxy (t :: k))) :: Type where+ Symmetry a y _ = (:~:) y a+ type SymmetrySym3 (a0123456789876543210 :: Proxy t0123456789876543210) (y0123456789876543210 :: Proxy t0123456789876543210) (e0123456789876543210 :: (:~:) (a0123456789876543210 :: Proxy (t0123456789876543210 :: k0123456789876543210)) (y0123456789876543210 :: Proxy (t0123456789876543210 :: k0123456789876543210))) =+ Symmetry a0123456789876543210 y0123456789876543210 e0123456789876543210+ instance SuppressUnusedWarnings (SymmetrySym2 y0123456789876543210 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) SymmetrySym2KindInference) ())+ data SymmetrySym2 (a0123456789876543210 :: Proxy (t0123456789876543210 :: k0123456789876543210)) (y0123456789876543210 :: Proxy (t0123456789876543210 :: k0123456789876543210)) :: (~>) ((:~:) (a0123456789876543210 :: Proxy (t0123456789876543210 :: k0123456789876543210)) (y0123456789876543210 :: Proxy (t0123456789876543210 :: k0123456789876543210))) Type+ where+ SymmetrySym2KindInference :: forall a0123456789876543210+ y0123456789876543210+ e0123456789876543210+ arg. SameKind (Apply (SymmetrySym2 a0123456789876543210 y0123456789876543210) arg) (SymmetrySym3 a0123456789876543210 y0123456789876543210 arg) =>+ SymmetrySym2 a0123456789876543210 y0123456789876543210 e0123456789876543210+ type instance Apply (SymmetrySym2 y0123456789876543210 a0123456789876543210) e0123456789876543210 = Symmetry y0123456789876543210 a0123456789876543210 e0123456789876543210+ instance SuppressUnusedWarnings (SymmetrySym1 a0123456789876543210) where+ suppressUnusedWarnings = snd (((,) SymmetrySym1KindInference) ())+ data SymmetrySym1 (a0123456789876543210 :: Proxy (t0123456789876543210 :: k0123456789876543210)) :: forall (y0123456789876543210 :: Proxy t0123456789876543210).+ (~>) (Proxy t0123456789876543210) ((~>) ((:~:) (a0123456789876543210 :: Proxy (t0123456789876543210 :: k0123456789876543210)) (y0123456789876543210 :: Proxy (t0123456789876543210 :: k0123456789876543210))) Type)+ where+ SymmetrySym1KindInference :: forall a0123456789876543210+ y0123456789876543210+ arg. SameKind (Apply (SymmetrySym1 a0123456789876543210) arg) (SymmetrySym2 a0123456789876543210 arg) =>+ SymmetrySym1 a0123456789876543210 y0123456789876543210+ type instance Apply (SymmetrySym1 a0123456789876543210) y0123456789876543210 = SymmetrySym2 a0123456789876543210 y0123456789876543210+ instance SuppressUnusedWarnings SymmetrySym0 where+ suppressUnusedWarnings = snd (((,) SymmetrySym0KindInference) ())+ data SymmetrySym0 :: forall k0123456789876543210+ (t0123456789876543210 :: k0123456789876543210)+ (a0123456789876543210 :: Proxy t0123456789876543210)+ (y0123456789876543210 :: Proxy t0123456789876543210).+ (~>) (Proxy t0123456789876543210) ((~>) (Proxy t0123456789876543210) ((~>) ((:~:) (a0123456789876543210 :: Proxy (t0123456789876543210 :: k0123456789876543210)) (y0123456789876543210 :: Proxy (t0123456789876543210 :: k0123456789876543210))) Type))+ where+ SymmetrySym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply SymmetrySym0 arg) (SymmetrySym1 arg) =>+ SymmetrySym0 a0123456789876543210+ type instance Apply SymmetrySym0 a0123456789876543210 = SymmetrySym1 a0123456789876543210+Singletons/T353.hs:0:0:: Splicing declarations+ genDefunSymbols [''Prod]+ ======>+ type MkProdSym2 (t0123456789876543210 :: f0123456789876543210 p0123456789876543210) (t0123456789876543210 :: g0123456789876543210 p0123456789876543210) =+ 'MkProd t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (MkProdSym1 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) MkProdSym1KindInference) ())+ data MkProdSym1 (t0123456789876543210 :: (f0123456789876543210 :: k0123456789876543210+ -> Type) (p0123456789876543210 :: k0123456789876543210)) :: forall (g0123456789876543210 :: k0123456789876543210+ -> Type).+ (~>) (g0123456789876543210 p0123456789876543210) (Prod (f0123456789876543210 :: k0123456789876543210+ -> Type) (g0123456789876543210 :: k0123456789876543210+ -> Type) (p0123456789876543210 :: k0123456789876543210))+ where+ MkProdSym1KindInference :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (MkProdSym1 t0123456789876543210) arg) (MkProdSym2 t0123456789876543210 arg) =>+ MkProdSym1 t0123456789876543210 t0123456789876543210+ type instance Apply (MkProdSym1 t0123456789876543210) t0123456789876543210 = 'MkProd t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings MkProdSym0 where+ suppressUnusedWarnings = snd (((,) MkProdSym0KindInference) ())+ data MkProdSym0 :: forall k0123456789876543210+ (f0123456789876543210 :: k0123456789876543210 -> Type)+ (g0123456789876543210 :: k0123456789876543210 -> Type)+ (p0123456789876543210 :: k0123456789876543210).+ (~>) (f0123456789876543210 p0123456789876543210) ((~>) (g0123456789876543210 p0123456789876543210) (Prod (f0123456789876543210 :: k0123456789876543210+ -> Type) (g0123456789876543210 :: k0123456789876543210+ -> Type) (p0123456789876543210 :: k0123456789876543210)))+ where+ MkProdSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply MkProdSym0 arg) (MkProdSym1 arg) =>+ MkProdSym0 t0123456789876543210+ type instance Apply MkProdSym0 t0123456789876543210 = MkProdSym1 t0123456789876543210+Singletons/T353.hs:0:0:: Splicing declarations+ genDefunSymbols [''Foo]+ ======>+ type MkFooSym2 (t0123456789876543210 :: Proxy a0123456789876543210) (t0123456789876543210 :: Proxy b0123456789876543210) =+ 'MkFoo t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (MkFooSym1 t0123456789876543210) where+ suppressUnusedWarnings = snd (((,) MkFooSym1KindInference) ())+ data MkFooSym1 (t0123456789876543210 :: Proxy (a0123456789876543210 :: k0123456789876543210)) :: forall k0123456789876543210+ (b0123456789876543210 :: k0123456789876543210).+ (~>) (Proxy b0123456789876543210) (Foo (a0123456789876543210 :: k0123456789876543210) (b0123456789876543210 :: k0123456789876543210))+ where+ MkFooSym1KindInference :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (MkFooSym1 t0123456789876543210) arg) (MkFooSym2 t0123456789876543210 arg) =>+ MkFooSym1 t0123456789876543210 t0123456789876543210+ type instance Apply (MkFooSym1 t0123456789876543210) t0123456789876543210 = 'MkFoo t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings MkFooSym0 where+ suppressUnusedWarnings = snd (((,) MkFooSym0KindInference) ())+ data MkFooSym0 :: forall k0123456789876543210+ (a0123456789876543210 :: k0123456789876543210)+ k0123456789876543210+ (b0123456789876543210 :: k0123456789876543210).+ (~>) (Proxy a0123456789876543210) ((~>) (Proxy b0123456789876543210) (Foo (a0123456789876543210 :: k0123456789876543210) (b0123456789876543210 :: k0123456789876543210)))+ where+ MkFooSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply MkFooSym0 arg) (MkFooSym1 arg) =>+ MkFooSym0 t0123456789876543210+ type instance Apply MkFooSym0 t0123456789876543210 = MkFooSym1 t0123456789876543210
+ tests/compile-and-dump/Singletons/T353.hs view
@@ -0,0 +1,17 @@+module T353 where++import Data.Kind+import Data.Proxy+import Data.Singletons.TH++$(singletons [d|+ type family Symmetry (a :: Proxy t) (y :: Proxy t)+ (e :: (a :: Proxy (t :: k)) :~: (y :: Proxy (t :: k))) :: Type where+ Symmetry a y _ = y :~: a+ |])++data Prod f g p = MkProd (f p) (g p)+$(genDefunSymbols [''Prod])++data Foo a b = MkFoo (Proxy a) (Proxy b)+$(genDefunSymbols [''Foo])
+ tests/compile-and-dump/Singletons/T358.ghc86.template view
@@ -0,0 +1,116 @@+Singletons/T358.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| class C1 (f :: k -> Type) where+ method1 :: f a+ class C2 a where+ method2a, method2b :: forall b. b -> a+ + instance C1 [] where+ method1 :: [a]+ method1 = []+ instance C2 [a] where+ method2a _ = []+ method2b :: forall b. b -> [a]+ method2b _ = [] |]+ ======>+ class C1 (f :: k -> Type) where+ method1 :: f a+ instance C1 [] where+ method1 :: [a]+ method1 = []+ class C2 a where+ method2a :: forall b. b -> a+ method2b :: forall b. b -> a+ instance C2 [a] where+ method2b :: forall b. b -> [a]+ method2a _ = []+ method2b _ = []+ type Method1Sym0 = Method1+ class PC1 (f :: k -> Type) where+ type Method1 :: f a+ type Method2aSym1 (arg0123456789876543210 :: b0123456789876543210) =+ Method2a arg0123456789876543210+ instance SuppressUnusedWarnings Method2aSym0 where+ suppressUnusedWarnings = snd (((,) Method2aSym0KindInference) ())+ data Method2aSym0 :: forall a0123456789876543210+ b0123456789876543210.+ (~>) b0123456789876543210 a0123456789876543210+ where+ Method2aSym0KindInference :: forall arg0123456789876543210+ arg. SameKind (Apply Method2aSym0 arg) (Method2aSym1 arg) =>+ Method2aSym0 arg0123456789876543210+ type instance Apply Method2aSym0 arg0123456789876543210 = Method2a arg0123456789876543210+ type Method2bSym1 (arg0123456789876543210 :: b0123456789876543210) =+ Method2b arg0123456789876543210+ instance SuppressUnusedWarnings Method2bSym0 where+ suppressUnusedWarnings = snd (((,) Method2bSym0KindInference) ())+ data Method2bSym0 :: forall a0123456789876543210+ b0123456789876543210.+ (~>) b0123456789876543210 a0123456789876543210+ where+ Method2bSym0KindInference :: forall arg0123456789876543210+ arg. SameKind (Apply Method2bSym0 arg) (Method2bSym1 arg) =>+ Method2bSym0 arg0123456789876543210+ type instance Apply Method2bSym0 arg0123456789876543210 = Method2b arg0123456789876543210+ class PC2 (a :: Type) where+ type Method2a (arg :: b) :: a+ type Method2b (arg :: b) :: a+ type family Method1_0123456789876543210 :: [a] where+ Method1_0123456789876543210 = '[]+ type Method1_0123456789876543210Sym0 = Method1_0123456789876543210+ instance PC1 [] where+ type Method1 = Method1_0123456789876543210Sym0+ type family Method2a_0123456789876543210 (a :: b) :: [a] where+ Method2a_0123456789876543210 _ = '[]+ type Method2a_0123456789876543210Sym1 (a0123456789876543210 :: b0123456789876543210) =+ Method2a_0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Method2a_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Method2a_0123456789876543210Sym0KindInference) ())+ data Method2a_0123456789876543210Sym0 :: forall a0123456789876543210+ b0123456789876543210.+ (~>) b0123456789876543210 [a0123456789876543210]+ where+ Method2a_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Method2a_0123456789876543210Sym0 arg) (Method2a_0123456789876543210Sym1 arg) =>+ Method2a_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Method2a_0123456789876543210Sym0 a0123456789876543210 = Method2a_0123456789876543210 a0123456789876543210+ type family Method2b_0123456789876543210 (a :: b) :: [a] where+ Method2b_0123456789876543210 _ = '[]+ type Method2b_0123456789876543210Sym1 (a0123456789876543210 :: b0123456789876543210) =+ Method2b_0123456789876543210 a0123456789876543210+ instance SuppressUnusedWarnings Method2b_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd (((,) Method2b_0123456789876543210Sym0KindInference) ())+ data Method2b_0123456789876543210Sym0 :: forall a0123456789876543210+ b0123456789876543210.+ (~>) b0123456789876543210 [a0123456789876543210]+ where+ Method2b_0123456789876543210Sym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply Method2b_0123456789876543210Sym0 arg) (Method2b_0123456789876543210Sym1 arg) =>+ Method2b_0123456789876543210Sym0 a0123456789876543210+ type instance Apply Method2b_0123456789876543210Sym0 a0123456789876543210 = Method2b_0123456789876543210 a0123456789876543210+ instance PC2 [a] where+ type Method2a a = Apply Method2a_0123456789876543210Sym0 a+ type Method2b a = Apply Method2b_0123456789876543210Sym0 a+ class SC1 (f :: k -> Type) where+ sMethod1 :: forall a. Sing (Method1Sym0 :: f a)+ class SC2 a where+ sMethod2a ::+ forall b (t :: b). Sing t -> Sing (Apply Method2aSym0 t :: a)+ sMethod2b ::+ forall b (t :: b). Sing t -> Sing (Apply Method2bSym0 t :: a)+ instance SC1 [] where+ sMethod1 :: forall a. Sing (Method1Sym0 :: [a])+ sMethod1 = Data.Singletons.Prelude.Instances.SNil+ instance SC2 [a] where+ sMethod2a ::+ forall b (t :: b). Sing t -> Sing (Apply Method2aSym0 t :: [a])+ sMethod2b ::+ forall b (t :: b). Sing t -> Sing (Apply Method2bSym0 t :: [a])+ sMethod2a _ = Data.Singletons.Prelude.Instances.SNil+ sMethod2b _ = Data.Singletons.Prelude.Instances.SNil+ instance SC2 a => SingI (Method2aSym0 :: (~>) b a) where+ sing = (singFun1 @Method2aSym0) sMethod2a+ instance SC2 a => SingI (Method2bSym0 :: (~>) b a) where+ sing = (singFun1 @Method2bSym0) sMethod2b
+ tests/compile-and-dump/Singletons/T358.hs view
@@ -0,0 +1,24 @@+module T358 where++import Data.Kind+import Data.Singletons.TH++$(singletons [d|+ class C1 (f :: k -> Type) where+ method1 :: f a++ instance C1 [] where+ method1 :: [a]+ method1 = []++ class C2 a where+ method2a, method2b :: forall b. b -> a++ -- Test that variables bound by instance head aren't quantified by the+ -- generated InstanceSigs+ instance C2 [a] where+ method2a _ = []++ method2b :: forall b. b -> [a]+ method2b _ = []+ |])
− tests/compile-and-dump/Singletons/T54.ghc84.template
@@ -1,48 +0,0 @@-Singletons/T54.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| g :: Bool -> Bool- g e = (case [not] of { [_] -> not }) e |]- ======>- g :: Bool -> Bool- g e = (case [not] of { [_] -> not }) e- type Let0123456789876543210Scrutinee_0123456789876543210Sym1 t =- Let0123456789876543210Scrutinee_0123456789876543210 t- instance SuppressUnusedWarnings Let0123456789876543210Scrutinee_0123456789876543210Sym0 where- suppressUnusedWarnings- = snd- ((GHC.Tuple.(,)- Let0123456789876543210Scrutinee_0123456789876543210Sym0KindInference)- GHC.Tuple.())- data Let0123456789876543210Scrutinee_0123456789876543210Sym0 l- = forall arg. SameKind (Apply Let0123456789876543210Scrutinee_0123456789876543210Sym0 arg) (Let0123456789876543210Scrutinee_0123456789876543210Sym1 arg) =>- Let0123456789876543210Scrutinee_0123456789876543210Sym0KindInference- type instance Apply Let0123456789876543210Scrutinee_0123456789876543210Sym0 l = Let0123456789876543210Scrutinee_0123456789876543210 l- type family Let0123456789876543210Scrutinee_0123456789876543210 e where- Let0123456789876543210Scrutinee_0123456789876543210 e = Apply (Apply (:@#@$) NotSym0) '[]- type family Case_0123456789876543210 e t where- Case_0123456789876543210 e '[_] = NotSym0- type GSym1 (t :: Bool) = G t- instance SuppressUnusedWarnings GSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) GSym0KindInference) GHC.Tuple.())- data GSym0 (l :: TyFun Bool Bool)- = forall arg. SameKind (Apply GSym0 arg) (GSym1 arg) =>- GSym0KindInference- type instance Apply GSym0 l = G l- type family G (a :: Bool) :: Bool where- G e = Apply (Case_0123456789876543210 e (Let0123456789876543210Scrutinee_0123456789876543210Sym1 e)) e- sG :: forall (t :: Bool). Sing t -> Sing (Apply GSym0 t :: Bool)- sG (sE :: Sing e)- = (applySing- (let- sScrutinee_0123456789876543210 ::- Sing (Let0123456789876543210Scrutinee_0123456789876543210Sym1 e)- sScrutinee_0123456789876543210- = (applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((singFun1 @NotSym0) sNot)))- SNil- in case sScrutinee_0123456789876543210 of {- SCons _ SNil -> (singFun1 @NotSym0) sNot } ::- Sing (Case_0123456789876543210 e (Let0123456789876543210Scrutinee_0123456789876543210Sym1 e))))- sE
+ tests/compile-and-dump/Singletons/T54.ghc86.template view
@@ -0,0 +1,53 @@+Singletons/T54.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| g :: Bool -> Bool+ g e = (case [not] of { [_] -> not }) e |]+ ======>+ g :: Bool -> Bool+ g e = (case [not] of { [_] -> not }) e+ type Let0123456789876543210Scrutinee_0123456789876543210Sym1 e0123456789876543210 =+ Let0123456789876543210Scrutinee_0123456789876543210 e0123456789876543210+ instance SuppressUnusedWarnings Let0123456789876543210Scrutinee_0123456789876543210Sym0 where+ suppressUnusedWarnings+ = snd+ (((,)+ Let0123456789876543210Scrutinee_0123456789876543210Sym0KindInference)+ ())+ data Let0123456789876543210Scrutinee_0123456789876543210Sym0 e0123456789876543210+ where+ Let0123456789876543210Scrutinee_0123456789876543210Sym0KindInference :: forall e0123456789876543210+ arg. SameKind (Apply Let0123456789876543210Scrutinee_0123456789876543210Sym0 arg) (Let0123456789876543210Scrutinee_0123456789876543210Sym1 arg) =>+ Let0123456789876543210Scrutinee_0123456789876543210Sym0 e0123456789876543210+ type instance Apply Let0123456789876543210Scrutinee_0123456789876543210Sym0 e0123456789876543210 = Let0123456789876543210Scrutinee_0123456789876543210 e0123456789876543210+ type family Let0123456789876543210Scrutinee_0123456789876543210 e where+ Let0123456789876543210Scrutinee_0123456789876543210 e = Apply (Apply (:@#@$) NotSym0) '[]+ type family Case_0123456789876543210 e t where+ Case_0123456789876543210 e '[_] = NotSym0+ type GSym1 (a0123456789876543210 :: Bool) = G a0123456789876543210+ instance SuppressUnusedWarnings GSym0 where+ suppressUnusedWarnings = snd (((,) GSym0KindInference) ())+ data GSym0 :: (~>) Bool Bool+ where+ GSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply GSym0 arg) (GSym1 arg) =>+ GSym0 a0123456789876543210+ type instance Apply GSym0 a0123456789876543210 = G a0123456789876543210+ type family G (a :: Bool) :: Bool where+ G e = Apply (Case_0123456789876543210 e (Let0123456789876543210Scrutinee_0123456789876543210Sym1 e)) e+ sG :: forall (t :: Bool). Sing t -> Sing (Apply GSym0 t :: Bool)+ sG (sE :: Sing e)+ = (applySing+ (let+ sScrutinee_0123456789876543210 ::+ Sing (Let0123456789876543210Scrutinee_0123456789876543210Sym1 e)+ sScrutinee_0123456789876543210+ = (applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((singFun1 @NotSym0) sNot)))+ SNil+ in (case sScrutinee_0123456789876543210 of {+ SCons _ SNil -> (singFun1 @NotSym0) sNot }) ::+ Sing (Case_0123456789876543210 e (Let0123456789876543210Scrutinee_0123456789876543210Sym1 e))))+ sE+ instance SingI (GSym0 :: (~>) Bool Bool) where+ sing = (singFun1 @GSym0) sG
− tests/compile-and-dump/Singletons/T78.ghc84.template
@@ -1,28 +0,0 @@-Singletons/T78.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| foo :: MaybeBool -> Bool- foo (Just False) = False- foo (Just True) = True- foo Nothing = False |]- ======>- foo :: MaybeBool -> Bool- foo (Just False) = False- foo (Just True) = True- foo Nothing = False- type FooSym1 (t :: Maybe Bool) = Foo t- instance SuppressUnusedWarnings FooSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) FooSym0KindInference) GHC.Tuple.())- data FooSym0 (l :: TyFun (Maybe Bool) Bool)- = forall arg. SameKind (Apply FooSym0 arg) (FooSym1 arg) =>- FooSym0KindInference- type instance Apply FooSym0 l = Foo l- type family Foo (a :: Maybe Bool) :: Bool where- Foo (Just False) = FalseSym0- Foo (Just True) = TrueSym0- Foo Nothing = FalseSym0- sFoo ::- forall (t :: Maybe Bool). Sing t -> Sing (Apply FooSym0 t :: Bool)- sFoo (SJust SFalse) = SFalse- sFoo (SJust STrue) = STrue- sFoo SNothing = SFalse
+ tests/compile-and-dump/Singletons/T78.ghc86.template view
@@ -0,0 +1,32 @@+Singletons/T78.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| foo :: MaybeBool -> Bool+ foo (Just False) = False+ foo (Just True) = True+ foo Nothing = False |]+ ======>+ foo :: MaybeBool -> Bool+ foo (Just False) = False+ foo (Just True) = True+ foo Nothing = False+ type FooSym1 (a0123456789876543210 :: Maybe Bool) =+ Foo a0123456789876543210+ instance SuppressUnusedWarnings FooSym0 where+ suppressUnusedWarnings = snd (((,) FooSym0KindInference) ())+ data FooSym0 :: (~>) (Maybe Bool) Bool+ where+ FooSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply FooSym0 arg) (FooSym1 arg) =>+ FooSym0 a0123456789876543210+ type instance Apply FooSym0 a0123456789876543210 = Foo a0123456789876543210+ type family Foo (a :: Maybe Bool) :: Bool where+ Foo ( 'Just 'False) = FalseSym0+ Foo ( 'Just 'True) = TrueSym0+ Foo 'Nothing = FalseSym0+ sFoo ::+ forall (t :: Maybe Bool). Sing t -> Sing (Apply FooSym0 t :: Bool)+ sFoo (SJust SFalse) = SFalse+ sFoo (SJust STrue) = STrue+ sFoo SNothing = SFalse+ instance SingI (FooSym0 :: (~>) (Maybe Bool) Bool) where+ sing = (singFun1 @FooSym0) sFoo
− tests/compile-and-dump/Singletons/TopLevelPatterns.ghc84.template
@@ -1,308 +0,0 @@-Singletons/TopLevelPatterns.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| data Bool = False | True- data Foo = Bar Bool Bool |]- ======>- data Bool = False | True- data Foo = Bar Bool Bool- type FalseSym0 = False- type TrueSym0 = True- type BarSym2 (t :: Bool) (t :: Bool) = Bar t t- instance SuppressUnusedWarnings BarSym1 where- suppressUnusedWarnings- = Data.Tuple.snd- ((GHC.Tuple.(,) BarSym1KindInference) GHC.Tuple.())- data BarSym1 (l :: Bool) (l :: TyFun Bool Foo)- = forall arg. SameKind (Apply (BarSym1 l) arg) (BarSym2 l arg) =>- BarSym1KindInference- type instance Apply (BarSym1 l) l = Bar l l- instance SuppressUnusedWarnings BarSym0 where- suppressUnusedWarnings- = Data.Tuple.snd- ((GHC.Tuple.(,) BarSym0KindInference) GHC.Tuple.())- data BarSym0 (l :: TyFun Bool (TyFun Bool Foo -> GHC.Types.Type))- = forall arg. SameKind (Apply BarSym0 arg) (BarSym1 arg) =>- BarSym0KindInference- type instance Apply BarSym0 l = BarSym1 l- data instance Sing (z :: Bool)- where- SFalse :: Sing False- STrue :: Sing True- type SBool = (Sing :: Bool -> GHC.Types.Type)- instance SingKind Bool where- type Demote Bool = Bool- fromSing SFalse = False- fromSing STrue = True- toSing False = SomeSing SFalse- toSing True = SomeSing STrue- data instance Sing (z :: Foo)- where- SBar :: forall (n :: Bool) (n :: Bool).- (Sing (n :: Bool)) -> (Sing (n :: Bool)) -> Sing (Bar n n)- type SFoo = (Sing :: Foo -> GHC.Types.Type)- instance SingKind Foo where- type Demote Foo = Foo- fromSing (SBar b b) = (Bar (fromSing b)) (fromSing b)- toSing (Bar (b :: Demote Bool) (b :: Demote Bool))- = case- (GHC.Tuple.(,) (toSing b :: SomeSing Bool))- (toSing b :: SomeSing Bool)- of {- GHC.Tuple.(,) (SomeSing c) (SomeSing c) -> SomeSing ((SBar c) c) }- instance SingI False where- sing = SFalse- instance SingI True where- sing = STrue- instance (SingI n, SingI n) =>- SingI (Bar (n :: Bool) (n :: Bool)) where- sing = (SBar sing) sing-Singletons/TopLevelPatterns.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| otherwise :: Bool- otherwise = True- id :: a -> a- id x = x- not :: Bool -> Bool- not True = False- not False = True- false_ = False- f, g :: Bool -> Bool- [f, g] = [not, id]- h, i :: Bool -> Bool- (h, i) = (f, g)- j, k :: Bool- (Bar j k) = Bar True (h False)- l, m :: Bool- [l, m] = [not True, id False] |]- ======>- otherwise :: Bool- otherwise = True- id :: a -> a- id x = x- not :: Bool -> Bool- not True = False- not False = True- false_ = False- f :: Bool -> Bool- g :: Bool -> Bool- [f, g] = [not, id]- h :: Bool -> Bool- i :: Bool -> Bool- (h, i) = (f, g)- j :: Bool- k :: Bool- Bar j k = (Bar True) (h False)- l :: Bool- m :: Bool- [l, m] = [not True, id False]- type family Case_0123456789876543210 a_0123456789876543210 t where- Case_0123456789876543210 a_0123456789876543210 '[y_0123456789876543210,- _] = y_0123456789876543210- type family Case_0123456789876543210 a_0123456789876543210 t where- Case_0123456789876543210 a_0123456789876543210 '[_,- y_0123456789876543210] = y_0123456789876543210- type family Case_0123456789876543210 a_0123456789876543210 t where- Case_0123456789876543210 a_0123456789876543210 '(y_0123456789876543210,- _) = y_0123456789876543210- type family Case_0123456789876543210 a_0123456789876543210 t where- Case_0123456789876543210 a_0123456789876543210 '(_,- y_0123456789876543210) = y_0123456789876543210- type family Case_0123456789876543210 t where- Case_0123456789876543210 (Bar y_0123456789876543210 _) = y_0123456789876543210- type family Case_0123456789876543210 t where- Case_0123456789876543210 (Bar _ y_0123456789876543210) = y_0123456789876543210- type family Case_0123456789876543210 t where- Case_0123456789876543210 '[y_0123456789876543210,- _] = y_0123456789876543210- type family Case_0123456789876543210 t where- Case_0123456789876543210 '[_,- y_0123456789876543210] = y_0123456789876543210- type False_Sym0 = False_- type NotSym1 (t :: Bool) = Not t- instance SuppressUnusedWarnings NotSym0 where- suppressUnusedWarnings- = Data.Tuple.snd- ((GHC.Tuple.(,) NotSym0KindInference) GHC.Tuple.())- data NotSym0 (l :: TyFun Bool Bool)- = forall arg. SameKind (Apply NotSym0 arg) (NotSym1 arg) =>- NotSym0KindInference- type instance Apply NotSym0 l = Not l- type IdSym1 (t :: a0123456789876543210) = Id t- instance SuppressUnusedWarnings IdSym0 where- suppressUnusedWarnings- = Data.Tuple.snd ((GHC.Tuple.(,) IdSym0KindInference) GHC.Tuple.())- data IdSym0 (l :: TyFun a0123456789876543210 a0123456789876543210)- = forall arg. SameKind (Apply IdSym0 arg) (IdSym1 arg) =>- IdSym0KindInference- type instance Apply IdSym0 l = Id l- type FSym1 (t :: Bool) = F t- instance SuppressUnusedWarnings FSym0 where- suppressUnusedWarnings- = Data.Tuple.snd ((GHC.Tuple.(,) FSym0KindInference) GHC.Tuple.())- data FSym0 (l :: TyFun Bool Bool)- = forall arg. SameKind (Apply FSym0 arg) (FSym1 arg) =>- FSym0KindInference- type instance Apply FSym0 l = F l- type GSym1 (t :: Bool) = G t- instance SuppressUnusedWarnings GSym0 where- suppressUnusedWarnings- = Data.Tuple.snd ((GHC.Tuple.(,) GSym0KindInference) GHC.Tuple.())- data GSym0 (l :: TyFun Bool Bool)- = forall arg. SameKind (Apply GSym0 arg) (GSym1 arg) =>- GSym0KindInference- type instance Apply GSym0 l = G l- type HSym1 (t :: Bool) = H t- instance SuppressUnusedWarnings HSym0 where- suppressUnusedWarnings- = Data.Tuple.snd ((GHC.Tuple.(,) HSym0KindInference) GHC.Tuple.())- data HSym0 (l :: TyFun Bool Bool)- = forall arg. SameKind (Apply HSym0 arg) (HSym1 arg) =>- HSym0KindInference- type instance Apply HSym0 l = H l- type ISym1 (t :: Bool) = I t- instance SuppressUnusedWarnings ISym0 where- suppressUnusedWarnings- = Data.Tuple.snd ((GHC.Tuple.(,) ISym0KindInference) GHC.Tuple.())- data ISym0 (l :: TyFun Bool Bool)- = forall arg. SameKind (Apply ISym0 arg) (ISym1 arg) =>- ISym0KindInference- type instance Apply ISym0 l = I l- type JSym0 = J- type KSym0 = K- type LSym0 = L- type MSym0 = M- type OtherwiseSym0 = Otherwise- type X_0123456789876543210Sym0 = X_0123456789876543210- type X_0123456789876543210Sym0 = X_0123456789876543210- type X_0123456789876543210Sym0 = X_0123456789876543210- type X_0123456789876543210Sym0 = X_0123456789876543210- type family False_ where- False_ = FalseSym0- type family Not (a :: Bool) :: Bool where- Not True = FalseSym0- Not False = TrueSym0- type family Id (a :: a) :: a where- Id x = x- type family F (a :: Bool) :: Bool where- F a_0123456789876543210 = Apply (Case_0123456789876543210 a_0123456789876543210 X_0123456789876543210Sym0) a_0123456789876543210- type family G (a :: Bool) :: Bool where- G a_0123456789876543210 = Apply (Case_0123456789876543210 a_0123456789876543210 X_0123456789876543210Sym0) a_0123456789876543210- type family H (a :: Bool) :: Bool where- H a_0123456789876543210 = Apply (Case_0123456789876543210 a_0123456789876543210 X_0123456789876543210Sym0) a_0123456789876543210- type family I (a :: Bool) :: Bool where- I a_0123456789876543210 = Apply (Case_0123456789876543210 a_0123456789876543210 X_0123456789876543210Sym0) a_0123456789876543210- type family J :: Bool where- J = Case_0123456789876543210 X_0123456789876543210Sym0- type family K :: Bool where- K = Case_0123456789876543210 X_0123456789876543210Sym0- type family L :: Bool where- L = Case_0123456789876543210 X_0123456789876543210Sym0- type family M :: Bool where- M = Case_0123456789876543210 X_0123456789876543210Sym0- type family Otherwise :: Bool where- Otherwise = TrueSym0- type family X_0123456789876543210 where- X_0123456789876543210 = Apply (Apply (:@#@$) NotSym0) (Apply (Apply (:@#@$) IdSym0) '[])- type family X_0123456789876543210 where- X_0123456789876543210 = Apply (Apply Tuple2Sym0 FSym0) GSym0- type family X_0123456789876543210 where- X_0123456789876543210 = Apply (Apply BarSym0 TrueSym0) (Apply HSym0 FalseSym0)- type family X_0123456789876543210 where- X_0123456789876543210 = Apply (Apply (:@#@$) (Apply NotSym0 TrueSym0)) (Apply (Apply (:@#@$) (Apply IdSym0 FalseSym0)) '[])- sFalse_ :: Sing False_Sym0- sNot ::- forall (t :: Bool). Sing t -> Sing (Apply NotSym0 t :: Bool)- sId :: forall (t :: a). Sing t -> Sing (Apply IdSym0 t :: a)- sF :: forall (t :: Bool). Sing t -> Sing (Apply FSym0 t :: Bool)- sG :: forall (t :: Bool). Sing t -> Sing (Apply GSym0 t :: Bool)- sH :: forall (t :: Bool). Sing t -> Sing (Apply HSym0 t :: Bool)- sI :: forall (t :: Bool). Sing t -> Sing (Apply ISym0 t :: Bool)- sJ :: Sing (JSym0 :: Bool)- sK :: Sing (KSym0 :: Bool)- sL :: Sing (LSym0 :: Bool)- sM :: Sing (MSym0 :: Bool)- sOtherwise :: Sing (OtherwiseSym0 :: Bool)- sX_0123456789876543210 :: Sing X_0123456789876543210Sym0- sX_0123456789876543210 :: Sing X_0123456789876543210Sym0- sX_0123456789876543210 :: Sing X_0123456789876543210Sym0- sX_0123456789876543210 :: Sing X_0123456789876543210Sym0- sFalse_ = SFalse- sNot STrue = SFalse- sNot SFalse = STrue- sId (sX :: Sing x) = sX- sF (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- (case sX_0123456789876543210 of {- SCons (sY_0123456789876543210 :: Sing y_0123456789876543210)- (SCons _ SNil)- -> sY_0123456789876543210 } ::- Sing (Case_0123456789876543210 a_0123456789876543210 X_0123456789876543210Sym0)))- sA_0123456789876543210- sG (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- (case sX_0123456789876543210 of {- SCons _- (SCons (sY_0123456789876543210 :: Sing y_0123456789876543210) SNil)- -> sY_0123456789876543210 } ::- Sing (Case_0123456789876543210 a_0123456789876543210 X_0123456789876543210Sym0)))- sA_0123456789876543210- sH (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- (case sX_0123456789876543210 of {- STuple2 (sY_0123456789876543210 :: Sing y_0123456789876543210) _- -> sY_0123456789876543210 } ::- Sing (Case_0123456789876543210 a_0123456789876543210 X_0123456789876543210Sym0)))- sA_0123456789876543210- sI (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (applySing- (case sX_0123456789876543210 of {- STuple2 _ (sY_0123456789876543210 :: Sing y_0123456789876543210)- -> sY_0123456789876543210 } ::- Sing (Case_0123456789876543210 a_0123456789876543210 X_0123456789876543210Sym0)))- sA_0123456789876543210- sJ- = case sX_0123456789876543210 of {- SBar (sY_0123456789876543210 :: Sing y_0123456789876543210) _- -> sY_0123456789876543210 } ::- Sing (Case_0123456789876543210 X_0123456789876543210Sym0 :: Bool)- sK- = case sX_0123456789876543210 of {- SBar _ (sY_0123456789876543210 :: Sing y_0123456789876543210)- -> sY_0123456789876543210 } ::- Sing (Case_0123456789876543210 X_0123456789876543210Sym0 :: Bool)- sL- = case sX_0123456789876543210 of {- SCons (sY_0123456789876543210 :: Sing y_0123456789876543210)- (SCons _ SNil)- -> sY_0123456789876543210 } ::- Sing (Case_0123456789876543210 X_0123456789876543210Sym0 :: Bool)- sM- = case sX_0123456789876543210 of {- SCons _- (SCons (sY_0123456789876543210 :: Sing y_0123456789876543210) SNil)- -> sY_0123456789876543210 } ::- Sing (Case_0123456789876543210 X_0123456789876543210Sym0 :: Bool)- sOtherwise = STrue- sX_0123456789876543210- = (applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((singFun1 @NotSym0) sNot)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons)) ((singFun1 @IdSym0) sId)))- SNil)- sX_0123456789876543210- = (applySing- ((applySing ((singFun2 @Tuple2Sym0) STuple2))- ((singFun1 @FSym0) sF)))- ((singFun1 @GSym0) sG)- sX_0123456789876543210- = (applySing ((applySing ((singFun2 @BarSym0) SBar)) STrue))- ((applySing ((singFun1 @HSym0) sH)) SFalse)- sX_0123456789876543210- = (applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing ((singFun1 @NotSym0) sNot)) STrue)))- ((applySing- ((applySing ((singFun2 @(:@#@$)) SCons))- ((applySing ((singFun1 @IdSym0) sId)) SFalse)))- SNil)
+ tests/compile-and-dump/Singletons/TopLevelPatterns.ghc86.template view
@@ -0,0 +1,347 @@+Singletons/TopLevelPatterns.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| data Bool = False | True+ data Foo = Bar Bool Bool |]+ ======>+ data Bool = False | True+ data Foo = Bar Bool Bool+ type FalseSym0 = False+ type TrueSym0 = True+ type BarSym2 (t0123456789876543210 :: Bool) (t0123456789876543210 :: Bool) =+ Bar t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings (BarSym1 t0123456789876543210) where+ suppressUnusedWarnings+ = Data.Tuple.snd (((,) BarSym1KindInference) ())+ data BarSym1 (t0123456789876543210 :: Bool) :: (~>) Bool Foo+ where+ BarSym1KindInference :: forall t0123456789876543210+ t0123456789876543210+ arg. SameKind (Apply (BarSym1 t0123456789876543210) arg) (BarSym2 t0123456789876543210 arg) =>+ BarSym1 t0123456789876543210 t0123456789876543210+ type instance Apply (BarSym1 t0123456789876543210) t0123456789876543210 = Bar t0123456789876543210 t0123456789876543210+ instance SuppressUnusedWarnings BarSym0 where+ suppressUnusedWarnings+ = Data.Tuple.snd (((,) BarSym0KindInference) ())+ data BarSym0 :: (~>) Bool ((~>) Bool Foo)+ where+ BarSym0KindInference :: forall t0123456789876543210+ arg. SameKind (Apply BarSym0 arg) (BarSym1 arg) =>+ BarSym0 t0123456789876543210+ type instance Apply BarSym0 t0123456789876543210 = BarSym1 t0123456789876543210+ data instance Sing :: Bool -> GHC.Types.Type+ where+ SFalse :: Sing False+ STrue :: Sing True+ type SBool = (Sing :: Bool -> GHC.Types.Type)+ instance SingKind Bool where+ type Demote Bool = Bool+ fromSing SFalse = False+ fromSing STrue = True+ toSing False = SomeSing SFalse+ toSing True = SomeSing STrue+ data instance Sing :: Foo -> GHC.Types.Type+ where+ SBar :: forall (n :: Bool) (n :: Bool).+ (Sing (n :: Bool)) -> (Sing (n :: Bool)) -> Sing (Bar n n)+ type SFoo = (Sing :: Foo -> GHC.Types.Type)+ instance SingKind Foo where+ type Demote Foo = Foo+ fromSing (SBar b b) = (Bar (fromSing b)) (fromSing b)+ toSing (Bar (b :: Demote Bool) (b :: Demote Bool))+ = case+ ((,) (toSing b :: SomeSing Bool)) (toSing b :: SomeSing Bool)+ of {+ (,) (SomeSing c) (SomeSing c) -> SomeSing ((SBar c) c) }+ instance SingI False where+ sing = SFalse+ instance SingI True where+ sing = STrue+ instance (SingI n, SingI n) =>+ SingI (Bar (n :: Bool) (n :: Bool)) where+ sing = (SBar sing) sing+ instance SingI (BarSym0 :: (~>) Bool ((~>) Bool Foo)) where+ sing = (singFun2 @BarSym0) SBar+ instance SingI (TyCon2 Bar :: (~>) Bool ((~>) Bool Foo)) where+ sing = (singFun2 @(TyCon2 Bar)) SBar+ instance SingI d =>+ SingI (BarSym1 (d :: Bool) :: (~>) Bool Foo) where+ sing = (singFun1 @(BarSym1 (d :: Bool))) (SBar (sing @d))+ instance SingI d =>+ SingI (TyCon1 (Bar (d :: Bool)) :: (~>) Bool Foo) where+ sing = (singFun1 @(TyCon1 (Bar (d :: Bool)))) (SBar (sing @d))+Singletons/TopLevelPatterns.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| otherwise :: Bool+ otherwise = True+ id :: a -> a+ id x = x+ not :: Bool -> Bool+ not True = False+ not False = True+ false_ = False+ f, g :: Bool -> Bool+ [f, g] = [not, id]+ h, i :: Bool -> Bool+ (h, i) = (f, g)+ j, k :: Bool+ (Bar j k) = Bar True (h False)+ l, m :: Bool+ [l, m] = [not True, id False] |]+ ======>+ otherwise :: Bool+ otherwise = True+ id :: a -> a+ id x = x+ not :: Bool -> Bool+ not True = False+ not False = True+ false_ = False+ f :: Bool -> Bool+ g :: Bool -> Bool+ [f, g] = [not, id]+ h :: Bool -> Bool+ i :: Bool -> Bool+ (h, i) = (f, g)+ j :: Bool+ k :: Bool+ Bar j k = (Bar True) (h False)+ l :: Bool+ m :: Bool+ [l, m] = [not True, id False]+ type family Case_0123456789876543210 a_0123456789876543210 t where+ Case_0123456789876543210 a_0123456789876543210 '[y_0123456789876543210,+ _] = y_0123456789876543210+ type family Case_0123456789876543210 a_0123456789876543210 t where+ Case_0123456789876543210 a_0123456789876543210 '[_,+ y_0123456789876543210] = y_0123456789876543210+ type family Case_0123456789876543210 a_0123456789876543210 t where+ Case_0123456789876543210 a_0123456789876543210 '(y_0123456789876543210,+ _) = y_0123456789876543210+ type family Case_0123456789876543210 a_0123456789876543210 t where+ Case_0123456789876543210 a_0123456789876543210 '(_,+ y_0123456789876543210) = y_0123456789876543210+ type family Case_0123456789876543210 t where+ Case_0123456789876543210 ( 'Bar y_0123456789876543210 _) = y_0123456789876543210+ type family Case_0123456789876543210 t where+ Case_0123456789876543210 ( 'Bar _ y_0123456789876543210) = y_0123456789876543210+ type family Case_0123456789876543210 t where+ Case_0123456789876543210 '[y_0123456789876543210,+ _] = y_0123456789876543210+ type family Case_0123456789876543210 t where+ Case_0123456789876543210 '[_,+ y_0123456789876543210] = y_0123456789876543210+ type False_Sym0 = False_+ type NotSym1 (a0123456789876543210 :: Bool) =+ Not a0123456789876543210+ instance SuppressUnusedWarnings NotSym0 where+ suppressUnusedWarnings+ = Data.Tuple.snd (((,) NotSym0KindInference) ())+ data NotSym0 :: (~>) Bool Bool+ where+ NotSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply NotSym0 arg) (NotSym1 arg) =>+ NotSym0 a0123456789876543210+ type instance Apply NotSym0 a0123456789876543210 = Not a0123456789876543210+ type IdSym1 (a0123456789876543210 :: a0123456789876543210) =+ Id a0123456789876543210+ instance SuppressUnusedWarnings IdSym0 where+ suppressUnusedWarnings+ = Data.Tuple.snd (((,) IdSym0KindInference) ())+ data IdSym0 :: forall a0123456789876543210.+ (~>) a0123456789876543210 a0123456789876543210+ where+ IdSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply IdSym0 arg) (IdSym1 arg) =>+ IdSym0 a0123456789876543210+ type instance Apply IdSym0 a0123456789876543210 = Id a0123456789876543210+ type FSym1 (a0123456789876543210 :: Bool) = F a0123456789876543210+ instance SuppressUnusedWarnings FSym0 where+ suppressUnusedWarnings+ = Data.Tuple.snd (((,) FSym0KindInference) ())+ data FSym0 :: (~>) Bool Bool+ where+ FSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply FSym0 arg) (FSym1 arg) =>+ FSym0 a0123456789876543210+ type instance Apply FSym0 a0123456789876543210 = F a0123456789876543210+ type GSym1 (a0123456789876543210 :: Bool) = G a0123456789876543210+ instance SuppressUnusedWarnings GSym0 where+ suppressUnusedWarnings+ = Data.Tuple.snd (((,) GSym0KindInference) ())+ data GSym0 :: (~>) Bool Bool+ where+ GSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply GSym0 arg) (GSym1 arg) =>+ GSym0 a0123456789876543210+ type instance Apply GSym0 a0123456789876543210 = G a0123456789876543210+ type HSym1 (a0123456789876543210 :: Bool) = H a0123456789876543210+ instance SuppressUnusedWarnings HSym0 where+ suppressUnusedWarnings+ = Data.Tuple.snd (((,) HSym0KindInference) ())+ data HSym0 :: (~>) Bool Bool+ where+ HSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply HSym0 arg) (HSym1 arg) =>+ HSym0 a0123456789876543210+ type instance Apply HSym0 a0123456789876543210 = H a0123456789876543210+ type ISym1 (a0123456789876543210 :: Bool) = I a0123456789876543210+ instance SuppressUnusedWarnings ISym0 where+ suppressUnusedWarnings+ = Data.Tuple.snd (((,) ISym0KindInference) ())+ data ISym0 :: (~>) Bool Bool+ where+ ISym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply ISym0 arg) (ISym1 arg) =>+ ISym0 a0123456789876543210+ type instance Apply ISym0 a0123456789876543210 = I a0123456789876543210+ type JSym0 = J+ type KSym0 = K+ type LSym0 = L+ type MSym0 = M+ type OtherwiseSym0 = Otherwise+ type X_0123456789876543210Sym0 = X_0123456789876543210+ type X_0123456789876543210Sym0 = X_0123456789876543210+ type X_0123456789876543210Sym0 = X_0123456789876543210+ type X_0123456789876543210Sym0 = X_0123456789876543210+ type family False_ where+ False_ = FalseSym0+ type family Not (a :: Bool) :: Bool where+ Not 'True = FalseSym0+ Not 'False = TrueSym0+ type family Id (a :: a) :: a where+ Id x = x+ type family F (a :: Bool) :: Bool where+ F a_0123456789876543210 = Apply (Case_0123456789876543210 a_0123456789876543210 X_0123456789876543210Sym0) a_0123456789876543210+ type family G (a :: Bool) :: Bool where+ G a_0123456789876543210 = Apply (Case_0123456789876543210 a_0123456789876543210 X_0123456789876543210Sym0) a_0123456789876543210+ type family H (a :: Bool) :: Bool where+ H a_0123456789876543210 = Apply (Case_0123456789876543210 a_0123456789876543210 X_0123456789876543210Sym0) a_0123456789876543210+ type family I (a :: Bool) :: Bool where+ I a_0123456789876543210 = Apply (Case_0123456789876543210 a_0123456789876543210 X_0123456789876543210Sym0) a_0123456789876543210+ type family J :: Bool where+ J = Case_0123456789876543210 X_0123456789876543210Sym0+ type family K :: Bool where+ K = Case_0123456789876543210 X_0123456789876543210Sym0+ type family L :: Bool where+ L = Case_0123456789876543210 X_0123456789876543210Sym0+ type family M :: Bool where+ M = Case_0123456789876543210 X_0123456789876543210Sym0+ type family Otherwise :: Bool where+ Otherwise = TrueSym0+ type family X_0123456789876543210 where+ X_0123456789876543210 = Apply (Apply (:@#@$) NotSym0) (Apply (Apply (:@#@$) IdSym0) '[])+ type family X_0123456789876543210 where+ X_0123456789876543210 = Apply (Apply Tuple2Sym0 FSym0) GSym0+ type family X_0123456789876543210 where+ X_0123456789876543210 = Apply (Apply BarSym0 TrueSym0) (Apply HSym0 FalseSym0)+ type family X_0123456789876543210 where+ X_0123456789876543210 = Apply (Apply (:@#@$) (Apply NotSym0 TrueSym0)) (Apply (Apply (:@#@$) (Apply IdSym0 FalseSym0)) '[])+ sFalse_ :: Sing False_Sym0+ sNot ::+ forall (t :: Bool). Sing t -> Sing (Apply NotSym0 t :: Bool)+ sId :: forall a (t :: a). Sing t -> Sing (Apply IdSym0 t :: a)+ sF :: forall (t :: Bool). Sing t -> Sing (Apply FSym0 t :: Bool)+ sG :: forall (t :: Bool). Sing t -> Sing (Apply GSym0 t :: Bool)+ sH :: forall (t :: Bool). Sing t -> Sing (Apply HSym0 t :: Bool)+ sI :: forall (t :: Bool). Sing t -> Sing (Apply ISym0 t :: Bool)+ sJ :: Sing (JSym0 :: Bool)+ sK :: Sing (KSym0 :: Bool)+ sL :: Sing (LSym0 :: Bool)+ sM :: Sing (MSym0 :: Bool)+ sOtherwise :: Sing (OtherwiseSym0 :: Bool)+ sX_0123456789876543210 :: Sing X_0123456789876543210Sym0+ sX_0123456789876543210 :: Sing X_0123456789876543210Sym0+ sX_0123456789876543210 :: Sing X_0123456789876543210Sym0+ sX_0123456789876543210 :: Sing X_0123456789876543210Sym0+ sFalse_ = SFalse+ sNot STrue = SFalse+ sNot SFalse = STrue+ sId (sX :: Sing x) = sX+ sF (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((case sX_0123456789876543210 of {+ SCons (sY_0123456789876543210 :: Sing y_0123456789876543210)+ (SCons _ SNil)+ -> sY_0123456789876543210 }) ::+ Sing (Case_0123456789876543210 a_0123456789876543210 X_0123456789876543210Sym0)))+ sA_0123456789876543210+ sG (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((case sX_0123456789876543210 of {+ SCons _+ (SCons (sY_0123456789876543210 :: Sing y_0123456789876543210) SNil)+ -> sY_0123456789876543210 }) ::+ Sing (Case_0123456789876543210 a_0123456789876543210 X_0123456789876543210Sym0)))+ sA_0123456789876543210+ sH (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((case sX_0123456789876543210 of {+ STuple2 (sY_0123456789876543210 :: Sing y_0123456789876543210) _+ -> sY_0123456789876543210 }) ::+ Sing (Case_0123456789876543210 a_0123456789876543210 X_0123456789876543210Sym0)))+ sA_0123456789876543210+ sI (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (applySing+ ((case sX_0123456789876543210 of {+ STuple2 _ (sY_0123456789876543210 :: Sing y_0123456789876543210)+ -> sY_0123456789876543210 }) ::+ Sing (Case_0123456789876543210 a_0123456789876543210 X_0123456789876543210Sym0)))+ sA_0123456789876543210+ sJ+ = (case sX_0123456789876543210 of {+ SBar (sY_0123456789876543210 :: Sing y_0123456789876543210) _+ -> sY_0123456789876543210 }) ::+ Sing (Case_0123456789876543210 X_0123456789876543210Sym0 :: Bool)+ sK+ = (case sX_0123456789876543210 of {+ SBar _ (sY_0123456789876543210 :: Sing y_0123456789876543210)+ -> sY_0123456789876543210 }) ::+ Sing (Case_0123456789876543210 X_0123456789876543210Sym0 :: Bool)+ sL+ = (case sX_0123456789876543210 of {+ SCons (sY_0123456789876543210 :: Sing y_0123456789876543210)+ (SCons _ SNil)+ -> sY_0123456789876543210 }) ::+ Sing (Case_0123456789876543210 X_0123456789876543210Sym0 :: Bool)+ sM+ = (case sX_0123456789876543210 of {+ SCons _+ (SCons (sY_0123456789876543210 :: Sing y_0123456789876543210) SNil)+ -> sY_0123456789876543210 }) ::+ Sing (Case_0123456789876543210 X_0123456789876543210Sym0 :: Bool)+ sOtherwise = STrue+ sX_0123456789876543210+ = (applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((singFun1 @NotSym0) sNot)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons)) ((singFun1 @IdSym0) sId)))+ SNil)+ sX_0123456789876543210+ = (applySing+ ((applySing ((singFun2 @Tuple2Sym0) STuple2))+ ((singFun1 @FSym0) sF)))+ ((singFun1 @GSym0) sG)+ sX_0123456789876543210+ = (applySing ((applySing ((singFun2 @BarSym0) SBar)) STrue))+ ((applySing ((singFun1 @HSym0) sH)) SFalse)+ sX_0123456789876543210+ = (applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing ((singFun1 @NotSym0) sNot)) STrue)))+ ((applySing+ ((applySing ((singFun2 @(:@#@$)) SCons))+ ((applySing ((singFun1 @IdSym0) sId)) SFalse)))+ SNil)+ instance SingI (NotSym0 :: (~>) Bool Bool) where+ sing = (singFun1 @NotSym0) sNot+ instance SingI (IdSym0 :: (~>) a a) where+ sing = (singFun1 @IdSym0) sId+ instance SingI (FSym0 :: (~>) Bool Bool) where+ sing = (singFun1 @FSym0) sF+ instance SingI (GSym0 :: (~>) Bool Bool) where+ sing = (singFun1 @GSym0) sG+ instance SingI (HSym0 :: (~>) Bool Bool) where+ sing = (singFun1 @HSym0) sH+ instance SingI (ISym0 :: (~>) Bool Bool) where+ sing = (singFun1 @ISym0) sI
+ tests/compile-and-dump/Singletons/TypeRepTYPE.ghc86.template view
+ tests/compile-and-dump/Singletons/TypeRepTYPE.hs view
@@ -0,0 +1,40 @@+{-# LANGUAGE MagicHash #-}+module TypeRepTYPE where++import Data.Kind (Type)+import Data.Singletons.Decide+import Data.Singletons.Prelude+import Data.Singletons.TypeRepTYPE+import GHC.Exts (Char#, RuntimeRep(..), TYPE, Word#)+import Type.Reflection (Typeable, typeRep)++eqTYPETest1 :: (Type == Type) :~: 'True+eqTYPETest1 = Refl++eqTYPETest2 :: (Type == TYPE 'IntRep) :~: 'False+eqTYPETest2 = Refl++f :: Sing (a :: Type) -> Maybe a+f tr+ | Proved Refl <- tr %~ sing @Bool+ = Just True+ | Proved Refl <- tr %~ sing @Ordering+ = Just EQ+ | otherwise+ = Nothing++data MaybeWordRep (a :: TYPE 'WordRep)+ = NothingWordRep+ | JustWordRep a++g :: Sing (a :: TYPE 'WordRep) -> MaybeWordRep a+g tr+ | Proved Refl <- tr %~ sing @Word#+ = JustWordRep 42##+ | Proved Refl <- tr %~ sing @Char#+ = JustWordRep 'j'#+ | otherwise+ = NothingWordRep++h :: forall (rep :: RuntimeRep) (a :: TYPE rep). Typeable a => Sing a+h = STypeRep (typeRep @a)
− tests/compile-and-dump/Singletons/Undef.ghc84.template
@@ -1,39 +0,0 @@-Singletons/Undef.hs:(0,0)-(0,0): Splicing declarations- singletons- [d| foo :: Bool -> Bool- foo = undefined- bar :: Bool -> Bool- bar = error "urk" |]- ======>- foo :: Bool -> Bool- foo = undefined- bar :: Bool -> Bool- bar = error "urk"- type BarSym1 (t :: Bool) = Bar t- instance SuppressUnusedWarnings BarSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) BarSym0KindInference) GHC.Tuple.())- data BarSym0 (l :: TyFun Bool Bool)- = forall arg. SameKind (Apply BarSym0 arg) (BarSym1 arg) =>- BarSym0KindInference- type instance Apply BarSym0 l = Bar l- type FooSym1 (t :: Bool) = Foo t- instance SuppressUnusedWarnings FooSym0 where- suppressUnusedWarnings- = snd ((GHC.Tuple.(,) FooSym0KindInference) GHC.Tuple.())- data FooSym0 (l :: TyFun Bool Bool)- = forall arg. SameKind (Apply FooSym0 arg) (FooSym1 arg) =>- FooSym0KindInference- type instance Apply FooSym0 l = Foo l- type family Bar (a :: Bool) :: Bool where- Bar a_0123456789876543210 = Apply (Apply ErrorSym0 "urk") a_0123456789876543210- type family Foo (a :: Bool) :: Bool where- Foo a_0123456789876543210 = Apply UndefinedSym0 a_0123456789876543210- sBar ::- forall (t :: Bool). Sing t -> Sing (Apply BarSym0 t :: Bool)- sFoo ::- forall (t :: Bool). Sing t -> Sing (Apply FooSym0 t :: Bool)- sBar (sA_0123456789876543210 :: Sing a_0123456789876543210)- = (sError (sing :: Sing "urk")) sA_0123456789876543210- sFoo (sA_0123456789876543210 :: Sing a_0123456789876543210)- = sUndefined sA_0123456789876543210
+ tests/compile-and-dump/Singletons/Undef.ghc86.template view
@@ -0,0 +1,47 @@+Singletons/Undef.hs:(0,0)-(0,0): Splicing declarations+ singletons+ [d| foo :: Bool -> Bool+ foo = undefined+ bar :: Bool -> Bool+ bar = error "urk" |]+ ======>+ foo :: Bool -> Bool+ foo = undefined+ bar :: Bool -> Bool+ bar = error "urk"+ type BarSym1 (a0123456789876543210 :: Bool) =+ Bar a0123456789876543210+ instance SuppressUnusedWarnings BarSym0 where+ suppressUnusedWarnings = snd (((,) BarSym0KindInference) ())+ data BarSym0 :: (~>) Bool Bool+ where+ BarSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply BarSym0 arg) (BarSym1 arg) =>+ BarSym0 a0123456789876543210+ type instance Apply BarSym0 a0123456789876543210 = Bar a0123456789876543210+ type FooSym1 (a0123456789876543210 :: Bool) =+ Foo a0123456789876543210+ instance SuppressUnusedWarnings FooSym0 where+ suppressUnusedWarnings = snd (((,) FooSym0KindInference) ())+ data FooSym0 :: (~>) Bool Bool+ where+ FooSym0KindInference :: forall a0123456789876543210+ arg. SameKind (Apply FooSym0 arg) (FooSym1 arg) =>+ FooSym0 a0123456789876543210+ type instance Apply FooSym0 a0123456789876543210 = Foo a0123456789876543210+ type family Bar (a :: Bool) :: Bool where+ Bar a_0123456789876543210 = Apply (Apply ErrorSym0 "urk") a_0123456789876543210+ type family Foo (a :: Bool) :: Bool where+ Foo a_0123456789876543210 = Apply UndefinedSym0 a_0123456789876543210+ sBar ::+ forall (t :: Bool). Sing t -> Sing (Apply BarSym0 t :: Bool)+ sFoo ::+ forall (t :: Bool). Sing t -> Sing (Apply FooSym0 t :: Bool)+ sBar (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = (sError (sing :: Sing "urk")) sA_0123456789876543210+ sFoo (sA_0123456789876543210 :: Sing a_0123456789876543210)+ = sUndefined sA_0123456789876543210+ instance SingI (BarSym0 :: (~>) Bool Bool) where+ sing = (singFun1 @BarSym0) sBar+ instance SingI (FooSym0 :: (~>) Bool Bool) where+ sing = (singFun1 @FooSym0) sFoo